Mathematical Society

Home , Bernard Dwork, Hiroaki Terao, Monus

Notices of the American Mathematical Society

November 1983, Issue 229 Volume 30, Number 7, Pages 713-840 Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 809 january 25-28, 1984 Louisville, Kentucky NOVEMBER 2, 1983 january (90th Annual Meeting) 1984 810 April 6-7, 1984 Notre Dame, Indiana FEBRUARY 1, 1984 February 811 April 13-14, 1984 Richmond, Virginia FEBRUARY 6, 1984 February 812 june 29-july 1, 1984 Plymouth, New Hampshire APRIL 23 june 813 August 16-19, 1984 Eugene, Oregon November 2-3, 1984 Minneapolis, Minnesota November 9-10, 1984 San Diego, California january 9-13, 1985 Anaheim, California (91 st Annual Meeting) March 22-23, 1985 Chicago, Illinois January 7-11, 1986 New Orleans, Louisiana (92nd Annual Meeting) january 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

DEADLINES: Advertising Uanuary 1984 Issue) December 1, 1983 (February 19841ssue) February 16,1984 News/Special Meetings: Uanuary 1984 Issue) November 9, 1983 (February 1984 Issue) January 30, 1984 Other Events Sponsored by the Society january 23-24, 1984, AMS Short Course: Mathematics of Information Processing, Louisville, Kentucky. This issue, page 773. April 2-5, 1984, Symposium on Pseudodifferential Operators and Fourier Integral Operators with Applications to Partial Differential Equations, University of Notre Dame, Notre Dame, Indiana. This issue, page 791. May 1984, Symposium on Some Mathematical Questions in Biology, DNA Sequence Analysis, New York, New York. June 1 0-August 18, 1984, joint Summer Research Conferences in the Mathematical Sciences, Bowdoin College, Brunswick, Maine. This issue, page 795. July 8-21, 1984, AMS-SIAM Summer Seminar on Nonlinear Systems of PDE in Applied Mathematics, College of Santa Fe, Santa Fe, New Mexico. This issue, page 794. July 16-August 3, 1984, AMS Summer Research Institute on Geometric Measure Theory and the Calculus of Variations. Subscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are prepared four to six weeks in advance of the date of mailing. Requests for a change of address should always include the member or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of address forms are not adequate for this purpose, since they make no provision for several important items of information which are essential for the AMS records. Suitable forms are published from time to time in the Notices (e.g. June 1980, page 378). Send change of address notices to the Society at Post Office Box 6248, Providence, Rl 02940. [Notices is published eight times a year (January, February, April, June, August, October, November, December) by the American Mathematical Society at 201 Charles Street, Providence, Rl 02904. Second class postage paid at Providence, Rl and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department, American Mathematical Society, Post Office Box 6248, Providence, Rl 02940.] Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U. S. Postal Service. The street address should never be used by correspondents, unless they plan to deliver their messages by hand. Members are strongly urged to notify the Society themselves of address changes (in the manner described above), since (as explained above) reliance on the postal service change-of-address forms is liable to cause delays in processing such requests in the AMS office. Notices of the American Mathematical Society

Volume 30, Number 7, November 1983

EDITORIAL COMMITTEE 714 Mathematicians at Warsaw Congress Paul F. Baum, Ralph P. Boas 715 Survey of American Mathematical Research journals Raymond L. Johnson, Mary Ellen Rudin Bertram Walsh, Daniel Zelinsky 720 27th Annual AMS Survey Everett Pitcher {Chairman) Faculty Salaries, Tenure, Women, 720 MANAGING EDITOR 1983 Survey of New Doctorates, 726 Lincoln K. Durst Salaries of New Doctorates, 730 ASSOCIATE EDITORS Doctoral Degrees Conferred in 1982-1983, 734 Hans Samelson, Queries (1981-1982 Supplement, 747) Ronald L. Graham, Special Articles 748 Educating Americans for the 21st Century SUBSCRIPTION ORDERS Subscription for Vol. 30 (1983): 756 Nonacademic Employers of Mathematicians, $39 list, $20 member. The subscription David H. Bailey price for members is included in the 759 Queries annual dues. Subscriptions and orders for AMS publications should be 761 Letters to the Editor addressed to the American Mathematical 763 News and Announcements Society, P. 0. Box 1571, Annex Station, Providence, Rl 02901. All orders must 765 NSF News & Reports be prepaid. 768 AMS Elections of 1983 ORDERS FOR AMS BOOKS AND 769 Future Meetings of the Society INQUIRIES ABOUT SALES, SUBSCRIP Louisville, january 25-28, 769 TIONS, AND DUES may be made by calling Carol-Ann Blackwood at Mathematical Sciences Employment Register, 787 800-556-7774 (toll free in U.S.) between Notre Dame, April 6- 7, 791 8:00 a.m. and 4:15 p.m. eastern time, Richmond, April 13-14, 193 Monday through Friday. 1984 AMS-SIAM Summer Seminar, 794 CHANGE OF ADDRESS. To avoid Joint Summer Research Conferences, 795 interruption in service please send Invited Speakers and Special Sessions, 796 address changes four to six weeks in 798 Special Meetings advance. It is !JSSential to include the member code which appears on the 801 New AMS Publications address label with all correspondence 804 Miscellaneous: Personal Items, 804; Deaths, 804; regarding subscriptions. Visiting Mathematicians (Supplement), 804; INFORMATION ABOUT ADVERTISING Application Deadlines, 805 in the Notices may be obtained from Wahlene Siconio at 401-272-9500. 807 AMS Reports and Communications Recent Appointments, 807; CORRESPONDENCE, including changes of address should be sent to American Reports of Past Meetings: Albany, 807; Mathematical Society, P. 0. Box 6248, Bylaws of the Society, 809; Funds, 814; Officers Providence, Rl 02940. and Lecturers of the Society, 812, 815, 816 Second class postage paid at 821 Advertisements Providence, Rl, and additional·mailing 836 Preregistration Forms offices. Copyright© 1983 by the American Mathematical Society. Employment Register Forms, 837, 838 Printed in the United States of America. Louisville Registration, 839, 840 Mathematicians Invited to Address the Warsaw Congress

The list of speakers at the International Congress of Mathematicians, August 1983, in Warsaw, Poland, printed below updates the list which appeared on page 572 of the October 1983 issue of the Notices. Names marked with a small disk (•) are those of invited speakers who were not present in Warsaw to present their talks. Some of them reported in advance that they would not attend, and others gave such notice at the last minute. At least one person (Professor Lusztig of MIT), listed in the previous issue as not present, did indeed speak. The present list is based on information provided by the Congress organizers and other persons who attended. The EDITORS would appreciate notice of any further corrections that may be required.

One-hour Plenary 4- Geometry 9. Real and june- • K. Osterwalder Addresses: S. Y. Cheng tiona! analysis 0. Lady~enskaja V.I. Arnold W. Miiller R. Askey L. A. Takhtajan C. Hooley • E. B. Vinberg T. Figiel 14. Control theory and V. P. Maslov N. J. Hitchin Y. Meyer optimization A. Pelczynski L. Simon D. Voiculescu R. W. Brockett M. Sato • 0. Ja. Viro J. Bourgain P.-L. Lions • R. Thorn A. G. Hovansky B.S. Ka~in H. W. Knobloch P. Erdos • R. M. Schoen B.S. Pavlov • R. T. Rockafellar Wu-Chung Hsiang • K. K. Uhlenbeck • B. E. J. Dahlberg A. B. Kur~anskil B. Mazur 5. Topology G. Kasparov J. Zabczyk • M. Rabin G. Pisier • S. Shelah F. R. Cohen 15. Numerical W. H. Fleming • M. H. Freedman 10. Probability and methods P. D. Lax • J. I. Shaneson mathematical B. Engquist R. D. MacPherson • R. L. Cohen statistics • G. H. Golub D. Ruelle • S. P. Kerkhoff • D. R. Brillinger • M. J. D. Powell Yum-Tong Siu H. Torunczyk P. Malliavin • FengKang S. K. Donaldson S. Watanabe Ju. A. Kuznetsov 45-minute Addresses Wen-Hsuing Lin D. M. Chibisov R. Glowinski in Sections: 6. Algebraic geometry P. Mandl C. A. Micchelli 1. Mathematical logic A. Beilinson • H. Kesten 16. Combinatorics and foundations of s. Iitaka • D. W. Stroock and mathematical mathematics A. Ogus 11. Partial differential programming G. L. Cherlin • W. Fulton equations D. Foata R. A. Shore V. A. Iskovskih A. Ambrosetti J. H. van Lint J.-Y. Girard B. Teissier • L. A. Caffarelli R. L. Graham A. 0. Slisenko • J. Harris T. Iwaniec L. Lovasz P. A. Loeb S.Mori V. Zaharov • L. G. Khachiyan B. I. Zil'ber 7. Complex analysis J.-M. Bony 11. Computer and 2. Algebra W. Barth G. Eskin information sciences G. M. Henkin S. Klainerman R. Karp R. L. Griess, Jr. V. S. Buslaev • A. Joseph • J. E. Fornaess R. E. Tarjan P. W. Jones E. De Giorgi A. A. Letichevsky c. Soule • A. Majda • M. Gromov • R. Harvey • L. G. Valiant A. Yu. Ol'Sa.nskil S.l. Pincuk 12. Ordinary differ- • G. Plotkin R. P. Stanley 8. Lie groups and entia! equations and 18. New applications J. C. Jantzen representations dynamical systems of mathematics C. M. Ringel eJ. Arthur • A. Katok N. Kopell E. I. Zel'manov P. van Moerbeke M. Misiurewicz B. B. Mandelbrot A. Lasota 9. Number Theory A. B. Venkov Ju. M. Svire~ev R. S. Ismagilov G. R. Sell A. N. Andrianov R. Mane 19. History and D. W. Masser T. Oshima education J.-L. Waldspurger M. Vergne 19. Mathematical physics and H. Freudenthal J.-M. Fontaine G. Lusztig A. V. Pogorelov mechanics K. A. Ribet R. Parthasarathy J. B. Serrin D. R. Heath-Brown M. Aizenman • W. M. Schmidt • T. Nishida S. Woronowicz J. M. Ball

714 Survey of American Mathematical Research Journals

At their November 1982 meeting, the Board specifications themselves, the size and style of of Trustees of the AMS voted to charge the Com type used as well as the size of the type page, mittee to Monitor Problems in Communication are also important. Because of the difficulty of with the task of collecting and disseminating taking all such factors into account, the procedure comparative information about the price of math described below was used; it should also be used ematical research journals published in the United by readers interested in comparing journals not States. It was the consensus of the Board that included in our study to those listed here. this information would be valuable to the mathe The first step was simply to count the number matical community in general, and to department of characters in several full lines of text with no chairmen and librarians in particular. The in mathematics and find the average of the results. formation collected and reported here is similar Next the number of possible lines of text on a page in nature to that reported in previous studies with no displays or extra spacing was determined. by I. M. James of the Mathematical Institute, The two resulting numbers were multiplied and University of Oxford, on behalf of the European then rounded to the nearest 10 characters, giving Mathematical Council. an estimate of the maximum number of characters The list of journals surveyed contains those that can appear on a full page of type. published in the United States and reviewed in For journals printed from typewriter copy their entirety by Mathematical Reviews, with the provided by authors, articles vary considerably in exception of some of the translation journals, the amount of type on a page, so five articles from which may have been reviewed only in part or the subscription year were chosen when making in the original. Data concerning the number our calculations. Readers are cautioned that, of characters on a page and subscription price because of the nature of these journals, observed were collected by observation from published 1982 results for any given issue may vary from those issues; these were forwarded to the publishers for reported here. verification, along with a questionnaire requesting Subseription Priee and Circulation. The annual additional information. A list of the data included U.S. subscription price for 1982 is listed as printed in the survey and the reasons they were deemed in published journal issues. The cost per 1000 of interest follow. characters was derived by combining the reported Identification of Journal and Publisher. Journals price with our estimate of the amount of material are listed in three classes: primary typeset published. Readers are encouraged to consider journals, primary journals printed from typewriter also the effect of the size of a journal's circulation copy, and translation journals. Production on the subscription price and the cost per 1000 costs vary considerably for these three classes characters. of journals; subscription prices generally reflect Baek Volumes. Publishers were asked whether this fact. Other classes could also be formed; for back volumes are available, and if so, in what example, many universities subsidize the journals form. Responses are listed in the tables. they publish, an advantage not necessarily enjoyed Page Charges. Publishers were asked whether by other scholarly and commercial publishers. page charges are requested, the amount, and Amount Published. The number of pages whether or not they are mandatory. All published in the 1982 subscription, exclusive of positive responses stated that page charges are not front- and end-matter, is given, together with mandatory. Some journals provide free offprints an approximation of the maximum number of to authors who pay page charges, but we did characters on a page. Although this measure is not specifically ask for that information on our inexact, it provides an estimate of the amount of publisher questionnaire. material subscribers receive. Discounts and Offprints. Information on the When making detailed comparisons based on availability of discounts to institutions was re the material included in this report, readers quested. The American Mathematical Society are encouraged to examine actual copies of the offers discounts to its institutional members on journal and to consider the factors which affect single subscriptions; three publishers offer dis the amount of material that actually appears counts .for multiple subscriptions, the Association on each page. Variations in the amount of for Computing Machinery, Scripta Publishing displayed material; additional space included Company, and the University of Central Florida around displays, sections and enunciations; and jointly with the Calcutta Mathematical Society. whether or not the subject matter typically Responses concerning the availability of requires relatively more or less mathematical offprints indicated that practices vary too widely notation all have an effect. The typesetting to be summarized adequately within our format.

715 ,M

volumes

=paper

P,M

p P,M P,M p

P,M

P,M p

P,* p P,M P,M P,M

P,M P,M

P,* P,M P,M P,* P,*

P,*

P,* P,* P,* p P,*

P,* P,M

microform

P***,M

P***

Back

------

M = M

page

charges

NOOE NCNF

NOOE NCNE NOOE

NCNE

NOOE NOOE

NOOE

NCNE NOOE

NrnE NrnE

NOOE

NrnE NCNE NrnE NrnE

NCNE

40.00

50.00 20.00 33.00 40.00 33.00

Requested

40.00 50.00

60.00

20.00

------

given

not

applicable

= Circulation

confidential

NG NG

NG NG NG

NG NG

NG NG NG NG

300

723

BOO

2000

4660

3377 not

1700 1306

1000 1125 1032

1412

= 19,785

20,000

18,500 c

------

.9 .9

6.5

3.6 2.5 2.2 7.9

2.1 4.9 9.0 5.8 6.6 5.8 4.6 5.5

1.6 6.8 6.0

7.6 2.5 3.1 4.0 1000 7.1 3.6 5.2 char

1.0

1.9

35.0

cents/ 10.2

------

2810

3040

3180

3530

4830 3230 4830

3120 3790

2740 3700

5140 3510

page

2980

6500

2680 3180 3560 3180

3420 3480 3300 3320 4110 3240

3600

3230

3290

3100 3360

2980

char/

-----

oumals

324

596

624 764

469

867

756

502 663 600 697 925 814

394 964

780

491

692

1982

1337 1328

1135

1284

1092 1311

1133

3340 1177

1859 1440

1000

2092

pages

-----

SURVEY

$US

list

Typeset

55.00

48.00

60.00

36.00

88.00 50.00 60.00

40.00 58.50 50.00

50.00

52.00 60.00

360.90

280.00

100.00

175.00 188.00

115.00

167.00 211.50 190.00

254.00 300.00

135.00 140.00

185.00 438.00

140.00 171.00

335.00

1982

price,

JOURNAL

subscription

------

Primary

Press

Stat. Stat.

Press

Soc.

Assoc.

Press

Computing

Univ.

Press

Math. Math.

Breach

Breach North-Holland Press

Press

Press Press Press Press

Press Press

Houston

North-Holland

Press

Sons

Univ.

Sons

for

University

of Illinois

Hopkins

of Math.

Stat.

Univ.

Machinery

Princeton

Inst. Inst.

Springer-Verlag

Indiana

Gordon Publisher

Johns

------

Pergamon Gordon

Elsevier

Amer. Wiley

Academic

Duke

Cambridge

Academic Academic Univ. Univ. Academic Academic

Elsevier Academic

Amer.

Academic

Academic Assoc.

Lehigh

Wiley

Academic

Appl.

Theory

Series

Assoc.##

System

Dynamical

Canputing

Analysis

J. J.**

Internat.

Ser.

New

Theory

Math.

Control

Math

Optimization,

for

Canputation

Math

Math Math

Theory.

Stat.

Sciences,

Theory. Math Equations

Geometry

Theory

Analysis,

Pure

Math

Math, Probability

Statistics

Variables.

Theory

Univ. J.

Appl.

Internat.

J. Internat.

Math Math

Internat.

Computer

Conb. canb. Diff.

Amer. Approx.

Algebra Algorithms

Assoc.

Diff.

Graph

Functional

of of of

Appl.,

Math

Bulletin,

and

of An

of of Systems Sciences of of of of of of An

Machinery

of of of

------Indiana Information

Journal Amer. Ann. Ann.

Appl. Applicable

Illinois Information

Camn.

Ann. Appl. Canputers

AMS

Advances

Canplex Duke

J. J.

Ergodic Houston J. J. J.

J. J.

J. J. J.

P,M P,M

p p

P,M P,M

p p

P,M P,M

p p

P,M P,M

p p

P,* P,*

p p

P***,M P***,M

The The

of of

size. size.

of of

were were

15% 15%

section. section.

issue issue

than than

smaller smaller

NCNE NCNE

NrnE NrnE

NrnE NrnE NCNE NCNE

NCNE NCNE

NrnE NrnE

NCNE NCNE NrnE NrnE

NrnE NrnE

NCNE NCNE

50.00 50.00

30.00 30.00

25.00 25.00

50.00 50.00

64.00 64.00

35.00 35.00

64.00 64.00

50.00 50.00

a a

one one

more more

in in

entire entire

Research Research

not not

Only Only

the the

date. date.

typeset typeset

if if

cases cases

of of

as as

c c

journal. journal.

NG NG

200 200

all all

300 300

900 900

774 774

665 665

775 775

2708 2708

2781 2781

2862 2862

2363 2363

6500 6500

1407 1407

3824 3824

1949 1949

1566 1566

1793 1793

1200 1200

1325 1325

in in

new new

actually actually

a a

publication publication

I I

is is

calculated calculated

were were

1982 1982

specifications specifications

sections, sections,

a a

2.0 2.0

4.4 4.4

5.7 5.7 2.1 2.1

2.0 2.0

5.9 5.9

2.2 2.2

1.9 1.9

2.5 2.5

1.7 1.7 1.3 1.3

1.5 1.5

1.4 1.4

3.2 3.2

7.6 7.6 1.1 1.1

1.4 1.4

4.9 4.9

1.4 1.4

4.3 4.3

6.3 6.3

5.8 5.8

6.1 6.1

1.4 1.4

were were

20.3 20.3

the the

pages, pages,

I I

has has

to to

Variables Variables

1 1

costs costs

Reviews Reviews

3190 3190

3180 3180

3870 3870

2710 2710

3730 3730

3010 3010

3290 3290

3620 3620

4540 4540

3710 3710

3910 3910

3180 3180

3760 3760

4170 4170

3740 3740

3090 3090

3740 3740

4170 4170

6220 6220

4170 4170

1530 1530

total total

typeset typeset

the the

Canplex Canplex

These These

Book Book

Volume Volume

364 364

634 634

601 601 206 206

472 472

952 952

612 612

847 847 379 379

375 375

532 532

513 513

893 893

605 605

865 865

328 328

400 400

3884 3884 3280

1436 1436

2000 2000

1882 1882

4583 4583

1368 1368

1304 1304

1026 1026

* *

u u

35.00 35.00

30.00 30.00

88.00 88.00 36.00 36.00

48.00 48.00

80.00 80.00

35.00 35.00

98.00 98.00

87.00 87.00

36.00 36.00

82.00 82.00

23.00 23.00

36.00 36.00

88.00 88.00

82.00 82.00

84.00 84.00

82.00 82.00

35.00 35.00

85.00 85.00

388.42 388.42

552.00 552.00

363.00 363.00

148.00 148.00

330.00 330.00

190.00 190.00

in in

but but

which which

Math Math

determined determined

appears appears

Control Control

year, year,

was was

Sciences Sciences

Logic Logic

Appl. Appl.

numbers numbers

& &

Publ. Publ. & &

Assoc. Assoc.

here here

Dame Dame

Qual. Qual.

Acad. Acad.

Consortium Consortium

volume volume

issue issue

Soc. Soc.

Sci. Sci.

soc. soc.

Soc. Soc.

calendar calendar

contact contact

Symbolic Symbolic

for for

one one

& &

Stat. Stat.

Math Math

Press Press

Breach Breach

Indust. Indust.

Press Press Indust. Indust.

Press Press

Management Management

Indust. Indust.

North-Holland North-Holland

Michigan Michigan

North-Holland North-Holland

Notre Notre

North-Holland North-Holland

the the

appears appears

& &

for for

Univ. Univ.

those those

of of

Romanian Romanian

of of

Math. Math.

Soc. Soc.

Mt. Mt.

Math. Math.

than than

for for

Arts Arts

by by

please please

Amer. Amer.

& &

of of

over over

which which

more more

Inst. Inst.

Gordon Gordon

Springer-Verlag Springer-Verlag

Univ. Univ.

Elsevier Elsevier

Amer. Amer.

Elsevier Elsevier

Assoc. Assoc.

Academic Academic

Univ. Univ.

Academic Academic

Soc. Soc.

Amer. Amer. soc. soc.

Rocky Rocky

Soc. Soc. Academic Academic

Soc. Soc.

Amer. Amer.

Elsevier Elsevier

Auburn Auburn

priced priced

price price

last. last.

prices prices

Often Often

not not

microfilm, microfilm,

The The

on on

& &

Appl. Appl.

are are

Anal. Anal.

& &

on on

volume volume

& &

Analysis Analysis

volume. volume.

Appl. Appl.

Soc. Soc.

year. year.

supplies supplies

1982. 1982.

Soc. Soc.

Phys., Phys.,

Math Math

J. J.

Anal. Anal.

Equations Equations

J. J.

Logic## Logic##

a a

the the

as as

its its

of of

Methods Methods

Engin. Engin.

the the

Theory Theory

Math Math

journals journals

& &

Math Math

by by

dated dated

Multilinear Multilinear

Analysis Analysis

J. J.

Algebraic Algebraic

Control Control

Scientific Scientific

Appl. Appl.

Math Math

Appl. Appl.

Numerical Numerical

information information

publisher. publisher.

Logic Logic

and and

J. J.

long long

prorating prorating

Mathematica Mathematica

for for

Math. Math.

Canputing Canputing

Proceedings Proceedings

calendar calendar

in in

Operations Operations

Canp. Canp.

on on

and and

Alg. Alg.

Amer. Amer.

the the a a

by by

For For

These These only only

As As

were were

Integral Integral

Dame Dame Math Math

Symbolic Symbolic

Multivariate Multivariate

Number Number

Amer. Amer.

Mt. Mt.

of of

Systems Systems

Discrete Discrete

J. J.

of of

& &

of of

Research Research

Formal Formal

Algebra** Algebra**

Optimization Optimization

Stat. Stat.

SciencesU SciencesU

Stat. Stat.

Chern., Chern.,

* *

** **

*** ***

J. J.

Math Math

Linear Linear

Libertas Libertas

Rocky Rocky

J. J.

Proc. Proc.

SIAM SIAM

J. J.

Michigan Michigan

SIAM SIAM

Math Math

SIAM SIAM

Notre Notre

SIAM SIAM

Math Math

Studies Studies

Technanetrics, Technanetrics,

Trans. Trans. Topology Topology volumes

=paper

p p

P,M p p p volumes P,M P,M P,M P,M P,M p

p P,M p p P,M p

p P,M =paper p P,M P,M P,M

microform

P microform

Back

------

M = M

------

M = M

page

NA NA NA

NA NA NA NA NA

charges

NCNE N:NE N:NE

NCNE NCNE NCNE N:NE

NCNE NCNE NCNE

NCNE NCNE

Requested

20.00

Requested

------

given

not

applicable

= Circulation

c c c

c c

c c c c

= Circulation

confidential

NG NG

confidential NA

200 541 378

547 300

700 811

not

C =

------

5.4

5.8

3.8 7.3

6.9 7.4 1000

char 5.7 7.1 6.5

8.4

4.6

7.2

4.2 5.7

1000

char 8.8

5.5 1.8 1.7

cents/

15.9

10.2 16.0

10.4

14.2

cents/ 14.1

------

3750 6800 4670 5310 3350 6420 7120 7540 4080 4130 5720

3020 3800 3180

6370

6240 3180 page

2430

2360

2500 2230

2100

2350

1920

page

char/

-----

char/

-----

Journals

416 416 312 871

944 443 476 452 778

978 929 548

434

782

447

832

2718

1253 1680 1982

1532

2269

3744

1982

1892

1487

Copy

pages

-----

pages

-----

Journals

$US

list

98.00

35.00

80.00 88.00

320.00

290.00

210.00 270.00

299.00 395.00 380.00 205.00

680.00 325.00 400.00

495.00

400.00

190.00

159.00 195.00 271.50

375.50

136.00

156.50

1982

Typewriter

price,

subscription

Translations

------

subscription

------

Primary

Soc.

Florida

Math.

Co.

Soc. Soc. Soc.

Soc.

Boston

Press

Central

Publ.

Publishing Publishing Publishing Publishing Publishing Publishing Publishing Publishing

Publishing

Dekker Dekker Dekker Dekker

Dekker Calcutta

Math. Math. Math.

Math.

and

Scripta

Plenum Plenum Plenum ------Plenum Plenum

Allerton Publisher Plenum Birkhauser Plenum Plenum Plenum

Amer. Amer. Scripta Amer.

Allerton

Springer-Verlag ------

Publisher

Univ.

Amer.

Marcel

Marcel Marcel

Eq.

Res.

Math.

Bull.

USSR*

Acad.

J.*

Appl.

Diff.

Control

Math Computation

the

J.*

Inst.

Soviet

Methods

Izv.

Sb.

Equations*

Contemp.

Math.

Sciences

- -

Anal.

Math.

Optimization

Logic*

Math.

and

Forum

J. Functional

Math.

Stat. Stat.

Partial

Algebra

Anal.

Mathematica

AMS

Sci.

Univ.

Autanat.

Math

Dynamics*

Steklov USSR in in in in

Mech.

USSR

Notes

Soviet

Sovietica

and

Math

Simulation

Theory

Anal.

Siberian Soviet

Proc.

Differential Fluid Fluid Functional

------Lithuanian Selecta Math. Math. Soviet Journal

Moscow

J. Magnetohydrodynamics* Math.

Algebra

Internat.

Comm. Semigroup Camm. ------Camm. Memoirs

Journal

Camm. Numerical Soviet Math. Dokl. .Amer. Math. Soc. 250.00 2357 4140 2.6 902 !!OlE P,M Soviet Math. (Iz. WZ) Allerton Press 260.00 1269 3150 6.5 NA !!OlE p Theoret. & Math. Phys.* Plenum Publishing 380.00 1134 6310 5.3 c NA P,M Theory Probab. Appl.. ** soc. for Indust. & Appl. Math 148.00 880 3650 4.6 1125 64.00 P,M Theory Prob. & Math. Stat. .Amer. Math. Soc. 180.00 337 3620 14.8 246 !!OlE p Trans. Moscow Math. Soc. .Amer. Math. soc. 120.00 566 3650 5.8 449 !!OlE p Ukrainian Math. J.* Plenum Publishing 380.00 641 6020 9.8 c NA P,M Vestnik Leningrad .Amer. Math. soc. 150.00 786 3310 5.8 161 !!OlE p Univ. Math.

* 1982 issues appear in two different published volunes. At the request of the publisher, the higher price of the two volumes was used for the yearly subscription rate and to determine the price per character. ** These costs were calculated as if the entire issue were typeset to the specifications of the Research section. The Book Reviews sections, in all cases oot IIDre than 15% of the total pages, were actually typeset in·a smaller size. 27th Annual AMS Survey 1983 First Report The following pages contain a first report on the 1983 AMS Survey. Included in this report are salary and other data on faculty members in four-year colleges and universities, a report on the 1983 survey of new doctorates, a report on salaries of new doctorates, and a list of names and thesis titles for members of the 1982-1983 Ph.D. class. The Annual AMS Survey is conducted in two parts. Questionnaires were distributed in May to all departments in the mathematical sciences in colleges and universities in the United States and Canada, and later to the recipients of doctoral degrees granted by these departments between July 1982 and June 1983, inclusive. This report is based on the information collected from these questionnaires. A second round of questionnaires was distributed in September; these are concerned with data on fall enrollments, class size, teaching loads and faculty mobility. These data will be reported in the February or April 1984 issue of the Notices. This Survey is the twenty-seventh in an annual series begun in 1957 by the Society's Committee on the Economic Status of Teachers. The present Survey is under the direction of the Committee on Employment and Educational Policy (CEEP), whose members are Lida K. Barrett, Lis! Novak Gaal, Irwin Kra, Robert W. McKelvey, Donald C. Rung (chairman), and Barnet M. Weinstock. The questionnaires were devised by CEEP's Data Subcommittee consisting of Lida K. Barrett, Susan J. Devlin, Lincoln K. Durst, Wendell H. Fleming, Arthur P. Mattuck, and Donald C. Rung (chairman).

Faculty Salaries, Tenure, Women

The questionnaries sent to departments in the Groups I and IT include the leading departments mathematical sciences asked for information on of mathematics in the U.S. according to the 1982 salaries and tenure. Departments submitted a assessment of Hesearch-Doctorate Programs conducted minimum, median, and maximum salary figure by the Conference Board of Associated Research for each of four academic ranks, for staff members Councils in which departments were rated aecording to the quality of their graduate faculty.1 both with and without doctorates. Annual salaries of full-time faculty members for the academic Group I is composed of 39 departments with scores in the 3.0-5.0 range. year of 9 or 10 months were sought. The 1983 questionnaire requested information for both the Group IT is composed of 43 departments with scores in the 2.0-2.9 range. years 1982-1983 and 1983-1984. The sample in this survey is thus the same for both years and Group ill contains the remaining U.S. departments reporting a doctoral program. is different from the sample used in the Twenty Group IV contains U.S. departments (or programs) Sixth AMS Survey in 1982. In the salary tables of statistics, biostatistics and biometrics reporting a on the following pages the numbers in parentheses doctoral program. give the range of the middle fifty percent of salaries Group V contains U.S. departments (or programs) reported. The figures outside the parentheses in applied mathematics/applied science, operations represent the mimimum and maximum salary research and management science which report a listed by any reporting institution. In some doctoral program. categories relatively few departments reported Group VI contains doctorate-granting departments and, because significant figures were not available, in the mathematical sciences in Canadian universities. salaries are not listed. Group M contains U.S. departments granting a The information reported this year on the master's degree as the highest graduate degree. number of faculty members is based on returns Group B contains U.S. departments granting a from 626 departments in the mathematical baccalaureate degree only. sciences, 124 of which did not contain usable 1These findings were published in An Assessment salary information. of Research-Doctorate Programs: Mathematical and I Physical Sciences. The inforn1ation on mathematics, For these reports, the departments are divided statistics and computer science was presented in digest into groups according to the highest degree form in the April 1983 issue of the Notices, pp. 257 ·· offered in the mathematical sciences. The 267, and an analysis of the above c.lassifications was ~~ doctorate-granting departments are in six groups given in the June 1983 Notices, pp. 392-393. It should as described in the box. be noted that the University of Maryland has separate programs in mathematics and applied mathematics within a single department, not separate departments as reported in t.he above cited articles in the Notices.

720 TABLE 1: Total Faculty Reported for Four-Year Colleges and Universities

1982-1983 1983-1984

FACULTY WJMEN FACULTY IDMEN

With With With With Total Tenure Total Tenure Total Tenure Total Tenure

WITHOur IXCI'ORATE

Instructor/Lecturer 672 41 356 22 686 43 377 24 Assistant Professor 469 311 134 77 474 293 124 71 Associate Professor 330 314 52 52 319 299 57 54 Professor 109 107 10 10 109 106 9 9 1580 773 552 161 1588 741 567 158

WITH OOCIDRATE

Instructor/Lecturer 205 7 33 1 206 8 34 2 Assistant Professor 1735 187 263 30 1823 177 276 31 Associate Professor 2234 1944 173 136 2220 1935 191 151 Professor 3296 3235 146 140 3438 3361 155 149 7470 5373 615 307 7687 5481 656 333

TABLE 2: Percent of TABLE 3: Response Rates Doctorate Faculty with Tenure U.S. Departments Fall1982 Fall1983 Group I II III IV v M B Groups I, II, III 73.8% 74.0% %Response 72 72 59 62 14 42 32 Groups IV, v 64.7% 63.5% Canadian Departments Group VI 90.2% 90.1% Masters and Bachelors 69.4% 68.0% Group VI % Response 46 Response Rates. Response rates among the various classes of departments vary widely, thus relative changes from one year to the next with making it difficult to draw firm conclusions about somewhat more confidence. This year's response the sizes of the faculty groups studied. Because rates are given in Table 3. As in past years, the the questionnaires request data for two years greatest rates of response are in Groups I, II, and in a row, however, it is possible to estimate III, which have a combined response rate of 66%.

721

290 290

410 410

Maximum Maximum

(522-641)744 (522-641)744

(560-668)800 (560-668)800

(310-363)443 (310-363)443

(250-278)315 (250-278)315

(242-275)310 (242-275)310

(200-242)332 (200-242)332

(216-256)269 (216-256)269

(162-237) (162-237)

(165-208)230 (165-208)230

Medion Medion

(225-245) (225-245)

(210-256) (210-256)

(147-194) (147-194)

(356-433) (356-433)

(294-321) (294-321) (322-361) (400-495) (400-495)

(274-310) (274-310)

(223-260) (223-260)

(200-236) (200-236)

(148-212) (148-212)

1983-1984 1983-1984

194-244) 194-244)

(289-347) (289-347)

(198-226) (198-226)

( (

(200-233) (200-233)

Minimum Minimum

255 255

239(250-308) 239(250-308) 262(306-347) 262(306-347)

204(238-274) 204(238-274)

176 176

105(143-208) 105(143-208)

175 175

122(140-172) 122(140-172)

108(209-245) 108(209-245)

105 105

dollars) dollars)

of of

SALARIES SALARIES

285 285

715 715

hundreds hundreds

(in (in

(483-605) (483-605)

(236-268)284 (236-268)284

(210-248)263 (210-248)263

(155-226)270 (155-226)270

(165-215)226 (165-215)226

(292-220)380 (292-220)380 (538-635)670 (538-635)670

(299-348)406 (299-348)406

(222-251) (222-251)

(190-219)302 (190-219)302

Maximum Maximum

(211-233) (211-233)

(193-246) (193-246)

(137-201) (137-201)

(147-187) (147-187)

(350-410) (350-410)

(276-298) (276-298)

(266-292) (266-292)

(210-240) (210-240)

(184-219) (184-219)

Median Median

1982-1983 1982-1983

(290-355) (290-355) (389-460)

(185-210) (185-210)

(184-244) (184-244)

(288-328) (288-328)

(235-257) (235-257)

(180-219) (180-219)

Minimum Minimum

250 250

198 198

262 262 216(244-285) 216(244-285)

175 175

170 170

105(125-201) 105(125-201)

120(140-180) 120(140-180)

180(220-229) 180(220-229)

4 4

0 0

5 5

0 0 0 0

3 3

0 0

1 1

0 0

1 1

2 2

7 7

38 38

13 13

21 21

30 30

12 12

With With

Tenure Tenure

2 2 2

6 6

4 4 3

0 0

9 9 7

0 0 0 0

9 9 8

0 0

6 6

7 7

WOMEN WOMEN

26 26

42 42

53 53

71 71

27 27

36 36

12 12

22 22 22

56 56

42 42

14 14

11 11

Total Total

reporting} reporting}

reporting) reporting)

4 4

74 74

2 2

0 0 3 3

43 43 3 3

6 6

39 39

1 1

8 8

25 25

55 55

16 16 10 10 28 28

18 18

13 13

With With

TV TV

1983-1984 1983-1984

Tenure Tenure

321 321

846 846 507 507

898 898

141 141

752 752

of of

3 3 3 1 1

6 6 5 2 3 3

4 4 4

6 6 1

32 32

63 63

38 38

82 82

16 16 10 10

14 14

88 88

FACULTY FACULTY

13 13

(44 (44

(31 (31

(28 (28

Total Total

245 245

336 336

508 508

752 752

121 121

152 152

195 195

106 106

1127 1127

1187 1187

FACUL FACUL

OF OF

Ill Ill

II II

I I

4 4

2 2

0 0

3 3

8 8

0 0

1 1

7 7

3 3

With With

34 34

29 29

20 20

14 14

12 12

18 18

Tenure Tenure

WOMEN WOMEN

SIZE SIZE

2 2 2

0 0

3 3

9 9

0 0

6 6

9 9 9

1 1 1 1

Group Group

8 8

Group Group

44 44

22 22

70 70

27 27

56 56

11 11

39 39

12 12

20 20

46 46

16 16

11 11

Total Total

4 4

0 0

6 6

4 4

2 2

7 7 4

1 1

9 9

With With

28 28

59 59 57

17 17

11 11

29 29

12 12

1982-1983 1982-1983

Tenure Tenure

835 835

491 491

897 897

160 160

2 2 2

3 3 3 1 1

3 3 3

4 4 4

8 8

FACULTY FACULTY

35 35

37 37

73 73

11 11

94 94 16 16 16

13 13

90 90

10 10

Total Total

16 16

491 491

240 240

344 344 327

731 731 731

168 168

195 195

135 135

117 117

1112 1112

1188 1188

DEPARTMENTS. DEPARTMENTS.

GRANTING GRANTING

Professor Professor

OOCl'ORATE OOCl'ORATE

Faculty Faculty DOCTORATE DOCTORATE

Salaries Salaries

Instructor/Lecturer Instructor/Lecturer

DOCTORATE DOCTORATE

Instructor/Lecturer Instructor/Lecturer

Professor Professor

Instructor/Lecturer Instructor/Lecturer

Professor Professor

DOCTORATE DOCTORATE

Associate Associate

Assistant Assistant Professor Professor

Associate Associate

Assistant Assistant Professor Professor

Associate Associate

Assistant Assistant Professor Professor

WITHDUr WITHDUr

Associate Associate

Assistant Assistant

WITH WITH

Assistant Assistant

WITHOur WITHOur

WITHDUr WITHDUr

WITH WITH

N N

N N ......

260 260

708 708 438 438

323 323 362 362

430 430

800 800

522 522

379 379

807 807

390 390 645 645

422-512) 422-512)

(165-240) (165-240)

(424-546) (424-546)

(310-360) (310-360)

(245-285) (245-285)

(507-617) (507-617)

(248-290) (248-290)

(564-609) (564-609)

(323-379) (323-379)

(265-310)319 (265-310)319

(550-773) (550-773)

( (

(301-346) (301-346)

(165-231) (165-231)

(344-408) (344-408)

(270-314) (270-314)

(225-250) (225-250) (230-275) (230-275)

(322-377) (322-377)

(245-290) (245-290)

(392-470) (392-470)

(286-345) (286-345) (305-381)

(358-411) (358-411)

(400-510) (400-510) (280-291) (280-291)

(445-529) (445-529)

315-402) 315-402)

341-422) 341-422)

(235-282) (235-282)

(202-235) (202-235)

(350-438) (350-438)

( (

(215-265) (215-265)

( (

(293-356) (293-356)

(230-257) (230-257)

255(288-339) 255(288-339)

170 170 266 266

152 152 212(256-321) 212(256-321)

156(160-227) 156(160-227)

282(282-375) 282(282-375)

230(230-260) 230(230-260)

327 327 276 276

331 331

199 199

189 189

261 261

404 404

370 370

456 456

607 607 371 371

775 775

507 507

350) 350)

(199-240) (199-240)

(403-508)649 (403-508)649

(298-

(230-270)295 (230-270)295 (239-275)378 (239-275)378

(311-370) (311-370)

(238-296)296 (238-296)296

(485-590)750 (485-590)750

(503-736) (503-736)

(410-489) (410-489)

(265-293) (265-293) (293-345)

(215-237) (215-237)

(188-230) (188-230)

(330-392) (330-392) (370-452) (370-452)

(279-330) (279-330)

(225-260) (225-260)

(303-343) (303-343)

(217-264) (217-264)

(431-529) (431-529)

(342-392) (342-392)

(387-469) (387-469) (494-560) (263-327) (263-327) (278-363)

330) 330)

312) 312)

283-

282-

(176-230) (176-230)

( (

(198-215) (198-215)

( (

(302-380) (302-380)

(263-315) (263-315)

(350-405) (350-405)

(215-263) (215-263)

254 254

253 253

224 224

170(230-262) 170(230-262)

142 142

313(341-403) 313(341-403)

273(276-347) 273(276-347)

156 156

228 228

282 282

215 215

183(202-'240) 183(202-'240)

195(236-264) 195(236-264)

3 3

0 0

2 2

0 0

0 0 0 0

0 0

1 1

5 5 0 0

2 2 0 0

0 0

1 1

2 2

3 3

0 0

33 33

11 11

19 19

17 17

10 10

4 4

0 0

3 3 0 0

7 7 7

1 1 1

0 0

2 2

0 0

1 1 1

6 6

4 4 0 0

0 0

1 1

6 6 7 7 3 3

0 0

29 29

66 66

22 22

11 11

20 20

14 14 43 43

10 10

reporting) reporting)

0 0

28 28

0 0

4 4

51 51

65 65

1 1 5

6 6 9 9

22 22

64 64 14 14

50 50

13 13

84 84

302 302

782 782

458 458 347 347

310 310

258 258

133 133

164 164

of of

4 4 4

2 2

3 3 2 1

2 2 2

3 3 3

1 1 1

1 1

I I I

(7 (7

23 23

28 28

96 96 44 44

51 51 12 12

18 18

11 11

16 16

(40 (40

(13 (13

340 340 263 263

473 473

344 344

272 272

164 164

116 116

551 551

134 134 157 157

1099 1099

IV IV

V V

VI VI

0 0

2 2

0 0 0 0

0 0

0 0 4 4

0 0

0 0 0 0

0 0

1 1

1 1 6 1

3 3

0 0

2 2

0 0

28 28

10 10

16 16

17 17

10 10

2 2

1 1

0 0

3 3

8 8

3 3 1 3 3

3 3

9 9 5

0 0

1 1 1

0 0 5 5 5

0 0

1 1 1

1 1

4 4

6 6 5 5

0 0

Group Group

28 28

58 58

45 45 10 10

19 19

23 23

16 16

10 10

0 0

3 3

5 5

1 1

0 0

1 1

9 9 5 5

23 23

75 75

47 47 60 60

16 16

13 13

303 303

763 763

303 303

342 342

261 261

150 150

3 3

2 2 2

4 4 1 4 4 4 1 1 3 3

0 0 4 4

3 3 2 1

4 4 1 1 1 3 1 1 1

1 1 1

1 1

I I I

19 19

49 49 44 44

12 12

26 26

17 17

93 93

17 17

n n

346 346 259 259

456 456 437

267 267

150 150

106 106

336 336 138 138 137

151 151

528 528

1080 1080

DEPARTMENTS. DEPARTMENTS.

GRANTING GRANTING

Professor Professor

Professor Professor Departments) Departments) Professor Professor

Professor Professor

Professor Professor Professor Professor

IJOCI'ORATE IJOCI'ORATE

IXlCI'ORATE IXlCI'ORATE

(Canadian (Canadian

Instructor/Lecturer Instructor/Lecturer

Instructor/Eecturer Instructor/Eecturer

Instructor/Lecturer Instructor/Lecturer DOCTORATE DOCTORATE

Instructor/Eecturer Instructor/Eecturer

Professor Professor

Instructor/Lecturer Instructor/Lecturer Instructor/Lecturer Instructor/Lecturer

DOCTORATE DOCTORATE

Professor Professor

Associate Associate

Professor Professor

Associate Associate

DOCTORATE DOCTORATE

Assistant Assistant

Professor Professor

Professor Professor Associate Associate

Assistant Assistant

WITH WITH

Assistant Assistant Professor Professor

WITHDUr WITHDUr Associate Associate

Assistant Assistant

Associate Associate

Assistant Assistant

Associate Associate

Assistant Assistant WITH WITH

WITHOOr WITHOOr

WITHOUJ' WITHOUJ'

WITH WITH

UJ UJ

N N -..I -..I SIZE OF FACUL TV SALARIES 1982-1983 1983-1984 (in hundreds of dollars) FACULTY WOMEN FACULTY WOMEN 1982-1983 1983-1984 With With With With Minimum Median Maximum Minimum Median Maximum Total Tenure Total !!!!!!!! Total !!!!!!!! Total !!!!!!!!

MASTER DEGREE GRANTING DEPARTMENTS (137 of 327 reporting)

WITHOUr DOCl'ORATE Instructor/Lecturer 220 20 123 11 227 21 129 11 70 (135-170) (142-175) (147-195) 261 80 ( 140-178) (150-188) (160-200)304 Assistant Professor 210 173 53 36 212 171 51 38 151(199-233) (208-246) (215-260) 311 151 (211-252) (213-265) (219-280)330 Associate Professor 129 127 24 24 122 121 24 24 178 (230-284) (245-286) (252-300) 370 178 (234-298) (255-303) (264-310)370 Professor 32 32 4 4 35 35 4 4 213(270-370) (270-370) (287-379)499 213 (291-370) (291-370) (291-370) 530 591 352 204 75 596 348 208 77

WITH !XlCroRATE Instructor/Lecturer 27 1 4 0 31 2 8 1 160 (174-219) (190-225) (203-225)270 170 (188-225) (210-225) (219-250)282 Assistant Professor 439 69 81 14 476 64 79 13 136(190-230) (209-246) (221-276) 320 147 (20D-240) (215-256) (230-289) 355 Associate Professor 680 594 69 60 686 599 75 62 111 (230-262) (248-295) (272-328) 413 192(238-279) (259-306) (289-347)461 Professor 712 696 49 45 741 726 54 53 126 ( 270-330) (304-361) (344-412) 504 215 (286-343) (316-375) (352-426) 582 1858 1360 203 119 1934 1391 216 129

-..J BACHELOR DEGREE GRANTING DEPARTMENTS (326 of 1019 reporting) ~ WITHGUr !XlCroRATE Instructor/Lecturer 265 8 140 3 293 9 158 4 110(150-175) (153-179). (160-193)295 110 ( 155-185) (163-188) (165-195) 295 Assistant Professor 206 98 61 29 219 88 60 24 134 (170-230) (180-235) (180-240)316 135(181-230) (185-240) (186-250) 303 Associate Professor 165 152 22 22 159 141 26 24 125 (201-261) (2!)4-263) (210-265) 385 151(210-277) (211-278) (221-280) 397 Professor 53 51 5 5 51 48 4 4 166 (225-322) (225-324) (225-325) 570 173(238-343) (238-343) (238-345)600 689 309 228 59 722 286 248 56

WITH !XlCroRATE Instructor/Lecturer 19 3 2 0 17 3 1 0 Assistant Professor 381 53 77 5 415 53 97 7 148 (180-215) (187-223) (190-235)358 155(192-224) (200-239) (205-250)358 Associate Professor 435 335 39 22 440 341 42 29 119(210-260) (220-270) (223-386) 410 155(221-273) (230-285) (234-300)430 Professor 440 422 43 41 477 446 43 38 140 ( 255-318) (261-334) (264-358) 536 147 (257-334) (271-352) (276-375) 546 1275 813 161 68 1349 843 183 74 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS Singularities Igor V. Do/gachev Martin Golubitsky and Peter Orlik, Editor Andrew DuPlessis David Schaeffer H. Durfee (2 papers) Mark Goresky and This book presents the proceedings of the Sum Alan Robert MacPherson mer Institute on Singularities held at Humboldt State Wolfgang Ebeling Eisenbud Gert-Martin Greuel University, Arcata, California on july 20-August 7, David and joseph Steenbrink 1981, and was prepared with partial support from Fouad £/zein Helmut A. Hamm the National Science Foundation. Robert Ephraim The Theory of Singularities is a relatively new area Istvan Fary (2 papers) Robert M. Hardt of research which has grown rapidly and developed jonathan Fine Herwig Hauser into a major field of activity. It employs the tools of Klaus Fischer j. P. G. Henry and Algebraic Geometry, Algebraic Topology, Differential Robert Friedman and M. Merle Geometry and Real and Complex Analysis. The basic Roy Smith Audun Holme /arrobino aim of these volumes is to give an exposition of the Terence Gaffney (3 papers) Anthony Kamber and area, describe recent progress and list open problems. Terence Gaffney and Franz W. Tondeur Some of the major topics are resolution and deforma Leslie Wilson Philippe tion of singularities in the algebraic and analytic cate A. Gal/igo Ulrich Karras gories; smoothing theory and mixed Hodge structures; Yih-Nan Gau and H. King equisingularity, the study of polar varieties and Whit joseph Lipman Toshitake Kohno ney stratifications; Milnor fibration, monodromy and Marc Giusti Klaus Lamotke intersection pairing; analytic results, including the Norman Goldstein Remi Langevin Gauss-Manin connection and relations with differen PART 2 tial systems; metric properties and curvature; connec Henry B. Laufer fan R. Porteous tions with knot theory and link theory, equ ivariant L~ Dung Trang and (2 papers) results and automorphic forms; unfoldings, adjacency, Zoghmon Mebkhout Fernando Puerta classification of singularities and modality; stability of L~ Dung Trang and john D. Randall singularities; Newton diagrams; Morse theory and B. Teissier (2 papers) Richard Randell intersection homology; and applications to physics Harm von der Lek Felice Rongo (2 papers) and other sciences. Anatoly S. Libgober and C. Sabbah The expository papers introduce the reader to the john W. Wood Kyoji Saito frontiers of broad areas of research activity in singu A. Libgober Morihiko Saito larities. The research articles solve specific problems Ben Lichtin {2 papers) john Scherk and pose related open questions. In addition, two joseph Lipman jose A. Seade articles are devoted entirely to open problems in the Eduard Looijengo Dirk Siersma area. Background necessary for understanding the Ignacio Luengo Andrew john Sommese papers is two years of graduate-level mathematics Richard Mandelbaum Robert Speiser with advanced courses in Algebraic Topology, Alge john N. Mother j. H. M. Steenbrink braic Geometry, and Analysis. Clint McCrory David A. Stone The book's most significant contribution is its /sao Nakai Tatsuo Suwa breadth. It encompasses the entire spectrum of re Wolter D. Neumann Hiroaki Terao search in singularities at this time. The field is very {2 papers) j. G. Timourian active and this is the first attempt at such compre Matsuo Oka David Trotman hensive coverage. Following is a list of contributors: Peter Orlik and Tohsuke Urabe PART 1 Louis Solomon Philip Wagreich jonathan M. Wahl Shreeram S. Abhyankor Lawrence Brenton, Donal B. O'Shea Pesse/hoy C. T. C. Wall E. Akyildiz and David Bindschadler, jurgen Tamaki Yano j. B. Carrell Daniel Drucker and and Oswald Riemenschneider Stephen S.-T. Yau E. Akyildiz, j. B. Carrell, Geert C. E. Prins Frederic Phom Yosef Yomdin (2 papers) D. I. Lieberman and E. Brieskorn Piene Steven Zucker A. j. Sommese S. A. Broughton Ragni Henry C. Pinkham (2 papers) V. I. Arnold j. W. Bruce, P.}. Giblin Gottfried Barthel and C. G. Gibson Proceedings of Symposia in Pure Mathematics Volume 40: Parts 1 and 2 (hard cover) {2 papers) j. W. Bruce xxvi + 676 pages (Port 1 ); xvi + 680 pages (Port 2) Kurt Behnke Ernesto Buzano and Set: List price $98, institutional member $74, Max Benson Martin Golubitsky individual member $49 M. S. Berger, P. T. Church Antonio Compillo Each port: List price $56, institutional member $42, DanielS. Chess individual member '$28 and j. G. Timourian Set: ISBN 0-8218-1443-5; LC 83-2529 Edward Bierstone and P. T. Church Port 1: ISBN 0-8218-1450-8; LC 83-2529 Pierre D. Milman james Damon {3 papers) Part 2: ISBN 0-8218-1466-4; LC 83-2529 Edward Bierstone and A. Dimca and Publication date: July 1983 Gerald W. Schwarz C. G. Gibson To order, please specify (Set) PSPUM/40N (Port 1) PSPUM/40.1 N; (Port 2) PSPUM/40.2N Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556·7774 to charge with Visa or MasterCard. Report on the 1983 Survey of New Doctorates by Donald C. Rung

This report presents a statistical profile of new 1972-1973 to 20% in 1982-1983. Table 5 gives doctorates in mathematics and statistics from these figures. both United States and Canadian universities. There was an increase in those still seeking It includes the employment status of recipients employment from 32 last year to 38 this year, of 1982-1983 doctorates in mathematics and with the percentage rising from 4% last year to statistics, and an analysis of the data by the 5% this year. If past experience holds, most will sex, racial/ethnic group, and citizenship of the find employment later this year. new doctorates. In addition, trends in the number The number of those employed by government, of doctoral degrees are reported for each group of business and industry, fell from 155 to 115 but departments as defined by the 1982 Conference some of this decline may have been caused by Board of Associated Research Councils (described omitting the number of doctorates in computer on the first page of this 1983 Survey). science where opportunities for employment in Doctorates conferred by Computer Science this area are plentiful. Departments are not included in this report Employment Status of New Doctorates, 1982- although they have been included in previous 1983. Table 1 shows the employment status, reports. The response rate from this group has by type of employer and field of degree, of been low. The number of doctorates in computer 792 recipients of doctoral degrees conferred by science reported m the 1982 survey was 105, while mathematical sciences departments in the U.S. the actual number probably was more than twice and Canada between July 1, 1982 and June 30, this figure. By way of contrast, very few degrees 1983. These 792 individuals are listed, with their in mathematics or statistics go unreported. thesis titles, later in this report. The number of new doctorates reported for In rows 1 through 5, the numbers who accepted 1982-1983 was 792. This is an increase over appointments in U.S. doctorate-granting mathe the comparable 1981-1982 figure of 755. The matics and statistics departments (Groups I-V) comparable figure for 1980-1981 was 812 and for are given. In the next two rows, the figures repre 1979-1980 was 768. These figures are taken from sent those accepting appointments in U.S. math the surveys reported each year in the November ematical sciences departments granting masters Notices with the computer science doctorates and bachelors degrees only. The information subtracted. A second updated report is planned was obtained both from the departments granting for the February or April 1984 Notices. the degrees and from questionnaires subsequently It is interesting to analyze the 750 doctorates completed by the recipients themselves. reported from U.S. universities (there were 42 Among those 1982-1983 new doctorates doctorates from Canadian universities). The employed in the U.S., about 66% took positions citizenship is known for 744 of these doctorates in university or college mathematical sciences and 61%, or 455, of new doctorates are U.S. departments. About 21% took positions in citizens. The percentage of doctorates who are government, business, and industry, while the U.S. citizens has declined dramatically over the remaining 13% are in two-year colleges, high last four years, from 73% in 1979-1980 to the schools, other academic departments, or research present 61% figure. It is apparent that we are institutes. These figures reflect an increase in now producing annually less than 500 doctorates those taking academic positions, perhaps because who are U.S. citizens. Of course, it is assumed of the omission of computer science doctorates. that many of the non-U.S. citizens do stay in Table 1 shows as "not yet employed" about 5% this country and eventually obtain permanent of the 1982-1983 new doctorates (this excludes residency. Table 4 gives this analysis from 1972- those whose employment status is unknown, and 1973 to 1982-1983. those not seeking employment). The data in For U.S. citizens, it is instructive to compare the Table 1 were in many instances obtained early in ratio of men to women among the new doctorates. the summer of 1983 and do not reflect subsequent Because so many of the non-U.S. citizens are hiring during the summer; an update of Table 1 male, the overall percentage of doctorates who are is planned for the February or April1984 Notices. women has been fairly steady. This year it is A similar update last year revealed that nearly 16%, as compared to the 1981-1982 figure of 15% all new 1981-1982 doctorates not yet employed and the 1980-1981 figure of 16%. Yet when U.S. by early summer subsequently found positions by citizens are analyzed, the percentage of women fall 1982. (See the Notices, November 1982, page has increased, doubling in 11 years from 10% in 635 and February 1983, page 161.) Only thirteen

726 TABLE 1: 1982-1983 Employment Status of New Doctorates in the Mathematical Sciences I PURE MATHEMATICS f:· 'b '0'8 'b § $~ "' .:::"' ~?;; "' :5 '"~:> b· !;:;;J D 1!f IJ.J .s (; ~& ,r;J~ <;~ ..Q :t::1 ::r u """' a;s S:8 u ·~ "' #; -., ~u~ sc: ~ :d g.e iJ'"'"'"' g,-s "'"' .fJ tE 8R- 0 ~)J'ct' 0 ..... "'~ ~J :s "'""' Dr'; fc (j oo.r§ .o ;; =?~ ~~~ '-{ o.'"' ,;; cJ; ~:; ~"" Group I 10 23 22 4 4 2 5 3 73 Group II 9 14 4 1 0 4 1 7 2 42 Group III 3 12 4 1 2 11 1 1 9 2 46 Group IV 30 1 31 Group V 4 4 3 1 2 18

Masters 11 14 14 1 5 12 1 3 12 10 83 Bachelors 16 12 12 2 1 9 1 2 4 8 67 Two-year College or High School 1 2 2 5 Other Academic Departments 3 23 1 12 3 4 50

Research Institutes 4 4 2 3 13 Government 1 11 1 2 6 2 23 Business and Industry 3 2 3 30 6 18 16 7 92

Canada, Academic 2 4 3 1 5 1 2 2 20 Canada, Nonacademic 2 3 5 Foreign, Academic 10 19 14 1 4 20 1 5 9 ., 90 Foreign, Nonacademic 6 2 3 13 1 8 7 2 42

Not seeking employ. 1 2 1 1 1 3 9 Not yet employed 7 9 4 1 5 1 4 3 4 38 Unknown 6 6 5 5 1 6 1 2 9 4 45

Total 92 137 92 16 22 188 18 63 103 0 61 792

TABLE 2: Sex, Minority Group, and Citizenship of New Doctorates July 1, 1982-June 30, 1983

U.S. DEGREES MEN w:JMEN 'IIJI'AL

CITIZENSHIP CITIZENSHIP Not Total Not Total RACIAL/E'IBNIC GROUP u.s. Canada Other Known Men u.s. Canada Other Known Wanen

Asian, Pacific Islander 14 1 104 3 122 4 13 1 18 140 Black 1 2 3 5 5 8 American Indian, Eskimo, Aleut 1 1 1 Mexican American, Chicano, Puerto Rican 2 4 6 l 1 7

None of those above 318 13 120 2 453 73 2 17 92 545 Unknown 31 11 42 6 l 7 49

Total Number 366 14 241 5 626 89 2 32 1 124 750

CANADIAN DEGREES MEN w:JMEN 'IIJI'AL

CITIZENSHIP CITIZENSHIP Not Total Not Total RACIAL/E'IBNIC GROUP u.s. Canada Other Known Men u.s. Canada Other Known Wanen

Asian, Pacific Islander 4 4 4 Black American Indian, Eskimo, Aleut Mexican American, Chicano, Puerto Rican

None of those above l3 10 23 1 1 24 Unknown 1 7 5 13 l 1 14

Total Number 1 20 19 40 1 l 2 42

727 Doctorates in Mathematics and Related Areas, NRC Reports: July 1967-June 1982

1967- 1968- 1969- 1970- 1971- 1972- 1973- 1974- 1975- 1976- 1977- 1978- 1979- 1980- 1981- 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982

Mathematics 970 1,063 1,218 1,236 1,281 1,222 1,196 1,149 1,003 959 838 768 745 728 720 A. Algebra 145 181 190 200 167 141 124 126 115 88 87 87 78 54 60 B. Analysis 246 266 244 262 241 244 213 180 141 152 118 111 91 105 98 C. Geometry 31 25 39 35 35 32 38 26 23 26 22 25 35 29 32 D. Logic 30 28 37 31 39 33 21 38 34 17 24 21 24 18 17 E. Number Theory 20 24 27 33 36 31 23 27 26 32 18 17 28 24 28 F. Probability, Mathematical Statistics 132 49 83 91 151 156 150 174 165 159 168 165 152 163 165 G. Topology 105 108 143 120 130 111 112 94 72 70 56 60 57 55 45 H. Computing Theory and Practice 51 79 118 139 163 221 194 167 147 101 55 25 13 16 11 I. Operations Research 3 24 55 36 42 43 43 41 35 36 J. Applied Mathematics 131 127 147 122 119 119 138 101 104 113 108 111 102 118 107 -'1 K. Mathematics, General 51 86 94 108 112 90 111 115 97 89 92 81 83 80 85 "-=' 36 00 L. Mathematics, Other 28 90 96 95 88 41 48 46 43 70 47 22 41 31

Total Pure (A, B, C, D, E, G, K) 628 718 774 789 760 682 642 606 508 474 417 402 396 365 365 Total Other (F, H, I, J, L) 342 345 444 447 521 540 554 543 495 485 421 366 349 363 355

Computer Science 121 209 218 232 220

Engineering Computer Engineering 101 119 122 76 79 62 71 72 Electrical Engineering 602 688 706 748 690 673 601 536 512 461 410 451 405 411 469 Engineering Mechanics 227 238 235 215 209 176 161 162 113 102 95 85 91 78 103 Operations Research 62 104 125 90 82 76 84 66 63 80 58 Systems Design & Systems Science 79 68 71 62 75 62 68 49

Life Sciences Biometrics and Biostatistics 23 18 37 42 30 34 35 37 46 52 45 44 42 48 58

Social Sciences Econometrics 30 20 27 27 32 31 20 27 30 29 23 22 22 17 24 Statistics 19 96 121 133 85 62 36 43 35 36 46 23 33 39 43

Education Mathematics Education 95 111 128 131 152 134 110 108 96 98 57 85 74 62 50 individuals included in Table 1 were reported as TABLE 4: U.S. Citimen Doctorates having taken part-time employment. Adjusted Total Total of Sex, Minority Group, and Citizenship of New of Doctorates Doctorates Doctorates, 1982-1983. Table 2 represents a granted by U.S. who are U.S. breakdown according to sex, racial/ethnic group, universities citizens % and citi21enship of these 792 new doctorates. The 1972-1973 986 774 78% information summari21ed in Table 2 was obtained 1973-1974 938 677 72% from department heads and in some cases from 1974-1975 999 741 74% recipients themselves. 1975-1976 965 722 75% Analysis of the 1982-1983 employment forms 1976-1977 901 689 76% for the new U.S. doctorates indicates that 11% of 1977-1978 868 634 73% those employed by Groups I, II, and III departments 1978-1979 806 596 74% are women, the same figure as last year. Of 1979-1980 791 578 73% 1980-1981 839 567 68% the new doctorates employed by bachelors and 1981-1982 798 519 65% masters degree-granting departments 21% are 1982-1983 744 455 61% women, while of those employed by government, TABLE 5: U.S. Citizen Doctorates business, and industry, 23% are women. Trends in the Number of New Doctorates. Table % 3 gives the number of doctorates granted during Total Male Female Female 1980-1981, 1981-1982, and 1982-1983 by those 1972-1973 774 696 78 10% departments in Groups I-VI, which reported in all 1973-1974 677 618 59 9% three years (as of August 10, 1983). The number 1974-1975 741 658 83 11% of such departments is indicated in parentheses. 1975-1976 722 636 86 12% This table does not include computer science 1976-1977 689 602 87 13% doctorates. The Groups are derived from the 1982 1977-1978 634 545 89 14% 1978-1979 596 503 93 16% rating. 1979-1980 578 491 87 15% TABLE 3: Number of New Mathematics 1980-1981 567 465 102 18% and Statistics Doctorates Reported 1981-1982 519 431 88 17% by Selected Departments 1982-1983 455 366 89 20% 80-81 81-82 82-83 It is apparent there has been a precipitous Group I (29 depts.) 262 283 278 decline over the last four years in the number of Group II (37 depts.) 126 91 114 new doctorates who are U.S. citi21ens. On the Group III (50 depts.) 113 105 89 other hand, the percentage of women receiving Subtotal 501 479 481 doctorates who are U.S. citizens has increased, Group IV (33 depts.) 161 168 154 doubling over the eleven-year period. Group V (17 depts.) 120 119 115 The table entitled Doctorates in Mathematics Group VI (16 depts.) _51 ~ __n and Related Areas, NRC Reports: July 1967- Subtotal 332 330 311 June 1982, extends the table published in 1982 to TOTAL 833 809 792 cover the years 1967-1968 through 1981-1982. Citizenship and Gender of U.S. Doctorates, It depicts the rise and .fall in the number 1972-1983. In response to several inquiries, of doctoral degrees in "mathematics" awarded information is presented on the annual number each year in this interval. The reports of of doctorates receiving their degrees from U.S. corresponding numbers for statistics, computing universities who are U.S. citi21ens (Table 4). This and operations research are subject to variations number is divided into male and female doctorates in classification, as an examination of some of (Table 5). This is presented for the period 1972- the lower lines in the printed table will reveal. 1983 using the CEEP reports on new doctorates The figures given are extracted from a series of published annually in the October or November NRC reports entitled Doctorate Recipients from Notices. United States Universities. (These reports are In Table 4 the first column is the number published annually and may be obtained from of doctorates, whose citizenship is known, who the Office of Scientific and Engineering Personnel, received degrees between July 1 and June 30 of National Research Council, 2101 Constitution the indicated years. In Column 2, we give the Avenue, N.W., Washington, D.C. 20418.) number who were U.S. citi21ens and in Column 3 the percentage this represents. In Table 5 the number in Column 2 of Table 4 is further divided into men and women. Note that in· both tables all years but 1982-1989 contain computer science doctorates.

729 Salary Survey for New Recipients of Doctorates

The figures for 1983 in this article were present position for several years. (X + Y) means compiled from questionnaires sent to individuals there are X men and Y women in the 1983 sample. who received a doctorate in the mathematical Quartile figures are given only in eases where the sciences during the 1982-1983 academic year from number of responses is large enough to make them universities in the United States and Canada. meaningful. Questionnaires requesting information on Graphs. For each category and year, the salaries and professional experience were dis median starting salary is denoted by a horizontal tributed to 619 recipients of degrees using bar; a vertical bar extends to the extremes. When addresses provided by the departments which the quartiles have alBO been recorded, they are granted the degrees. Of these, 9 were returned denoted by the range of the box around the by the postal service as undeliverable and could median, thus for those cases, the middle 50% not be forwarded. There were 355 individuals of starting salaries lie within the range of the who returned forms between late June and early box. The salary information in the graphs is September. The tables below are based on the in hundreds of dollars. This graphical technique responses from 307 of these individuals (254 men is based on a proposal by McGill, Tukey and and 53 women). Data from 48 responses were not Larsen in Variations of box plots, The American used in the compilation of the tables below; forms Statistician (February 1978}. with insufficient data, or from individuals who had indicated they had part-time employment, were The connected line segments equate value of not yet employed, or were not seeking employment the dollar from one year to the next, using were considered unusable. 1965 median starting salary as a benchmark and adjusting that to current dollars by the Readers should be warned that the data in this implicit price deflators prepared annually by the report are obtained from a self-selected sample and Bureau of Economic Analysis, U.S. Department inferences from them may not be representative of of Commerce. If the rate of change in the the population. More comprehensive information actual starting salaries is less than the slope of on the number, the sex-minority group status the corresponding line segment, median starting citizenship, and the employment status of the salaries did not keep up with inflation. recipients of new doctorates granted last year in the mathematical sciences in the U.S. and Canada Note that starting salaries for all categories may be found in the previous article of this report fall behind the cost of living change in 1975 as on the 1983 Survey. compared to 1970. In most cases the rate of increase in median starting salary from 1975 to Key to Tables. Salaries are listed in hundreds 1980 kept up with inflation, as the line connecting of dollars. Years listed refer to the academic year the medians is parallel with the line segment. ending in the listed year. M and F are Male Starting salaries in 1982 showed a greater increase and Female respectively. One year experience over 1980 than one would anticipate merely by means that the persons had experience limited the change in the value of the dollar; however, to one year or less in the same position or a the median starting salary has not yet made up position similar to the one reported; some persons for the loss in the early seventies. Generally, the receiving a doctorate had been employed in their range of salaries is increasing with time.

730 Nine-Month Salaries Nine-Month Salaries

1965 Salary 1965 Salary Year Min Q1 Median Q3 Max Median in Year Min Median Max Median in Current$ Current$ RESEARCH 'l'EAC.HING OR TEACHING AND RESEAIOi (5 + 1) (168 + 35) 1960 52 65 80 75 1960 49 65 80 74 1965 71 81 90 81 1965 70 80 105 80 1970 78 105 160 100 1970 85 110 195 98 1975 100 110 137 1975 90 120 128 135 173 135 1980 125 137 180 195 1980 105 155 171 185 250 192 1981 143 145 213 1981 130 175 190 210 320 210 1982 180 190 235 226 1982 160 190 206 229 370 223 1983 100 200 230 1983 80 200 217 240 350 198

Nine-month Teaching

400 Graph omitted because sample size too small

300

100

0 1960 1965 1970 1975 1980 1982

731 Twelve-Month Salaries Twelve-Month Salaries

1965 Salary 1965 Salary Year Min Median Max Median in Year Min Median Max Median in Current$ Current$ RESEARCH TEAClUNG OR TEACHING AND RESEAROi (15 + 2) (16 + 3) 1960 97 105 140 86 1960 •••••••••NO mTA •••••••••• 1965 81 93 107 93 1965 78 104 121 104 1970 90 120 205 114 1970 95 128 200 128 1975 90 119 180 157 1975 87 145 204 176 1980 120 180 321 224 1980 143 195 350 250 1981 140 200 280 245 1981 156 203 400 274 1982 130 245 364 259 1982 100 250 500 290 1983 155 262 450 1983 160 260 320 1981M 120 180 32i 1981M 143 190 350 1980F 178 200 264 1980F 147 200 220 1981M 140 200 280 1981M 156 200 400 1981F 150 168 200 1981F 165 213 290 1982M 144 230 336 1982M 180 250 500 1982F 130 265 364 1982F 100 266 367 1983M 195 262 450 1983M 160 255 320 1983F 155 260 364 1983F 240 265 270 One Year Exper1enoe (13 + 1) One Year Experience (12 + 3) 1983M 195 250 450 1983M 160 243 320 1983F 155 155 155 1983F 240 265 270

Twelve-Month Twelve-Month Teaching Research

400 400

300 300

~Q 'S l ~ 200 200

100 100

OL----,----,----.----,----,-,~- 1960 1965 1970 1975 19801982 1960 1965 1970 1975 1980 1982

732 Twelve-Month Salaries Twelve-Month Salaries

1965 Salary 1965 Salary Year Min Median Max Median in Year Min Median Max Median in Current$ Current$

1960 72 93 130 117 1960 78 110 150 126 1965 70 126 160 126 1965 100 136 180 136 1970 100 150 223 155 1970 96 170 235 167 1975 78 182 247 213 1975 114 187 240 230 1980 156 244 501 303 1980 190 284 400 327 1981 220 290 460 332 1981 195 308 500 358 1982 228 325 470 351 1982 196 354 550 379 1983 160 322 422 1983 276 375 580 198(M 156 230 501 198(M 190 284 400 1980F 205 247 280 1980F 218 283 345 1981M 220 294 400 1981M 195 319 500 1981F 252 269 460 1981F 226 290 358 1982M 228 331 470 1982M 196 366 550 1982F 282 326 369 1982F 230 350 430 1983M 160 313 422 1983M 300 370 580 1983F 293 320 350 1983F 276 375 413 One Year Expenence (6 + 1) One Year Experience (25 + 6) 1983M 160 245 330 1983M 302 370 420 1983F 293 293 293 1983F 276 375 413

Twelve-Month Twelve-Month Government Business and Industry 500 500

400 400

~ 300 300 =~ 'S ~ i tfl 200 200

100 100

0~---.----.----.----.----.-.--- 1960 1965 1970 1975 1980 1982 1960 1965 1970 1975 1980 1982

733 Doetoral Degrees Conferred 1982-1983 THE ANNUAL AMS list of doctoral degrees in the mathematical sciences and related subjects reports 792 degrees conferred between July 1, 1982, and June 30, 1983 by 194 departments in 137 universities in the United States and Canada. Each entry contains the name of the recipient and the thesis title. The numbers in parentheses following the names of universities have the following meanings: the first number is the number of degrees listed for that university; the next seven numbers are the number of degrees in the categories of 1. Pure mathematics (i.e., algebra, number theory, analysis, functional analysis, geometry, topology, logic, or probability}; 2. Statistics; 3. Computer science; 4. Operations research; 5. Applied mathematics; 6. Mathematics education; 7. Other. ALABAMA CALIFORNIA MATHEMATICS Auburn University Goodman, Jonathan Bernard, Initial California Institute of Technology boundary value problems for hyperbolic (3;3,0,0,0,0,0,0} (4;1,0,0,0,3,0,0} B!fstems of conBervation laws. MATHEMATICS APPLIED MATHEMATICS Nunan, Kevin Craig, Effective properties Daniels, Margaret Mary, of composite media containing periodic Pia:ley-Roy Fawcett, John Alan, I. Three dimefiBional BpiJCes and an application to normal, ray-tracing and ray-inversion in layered arrays. locally compact 8Jlaces. media. ll. Inverse scattering and curved Williams, Ruth Jeannette, Brownian O'Farrell, John Michael, Some methods ray tomography with applicatiOfiB to motion in a wedge with oblique reflection of determining total pamcompactness. seismology. at the boundary. Robinson, Cecil Eugene, Jr., Green's Hagstrom, Thomas Michael, Reduc Wiskott, Bettina, Scattering theory and relati0fl8 for substochastic matrices and tion of unbounded domainB to bounded qectral representation of short-range positive operators. domaiM for partial differential equation perturbation in hyperbolic BpiJCe. University of Alabama, Tuscaloosa problems. OPERATIONS RESEARCH (3;1,1,0,0,1,0,0} Prendergast, Michael David Myers, Linear programming methods for the Abrahamson, Philip Gager, A nested APPLIED STATISTICS numerical solution of parabolic equati0fl8 decomposition approach for solving stair O'Rear, Michael Ross, H!lf!Othesis testing backwards in time. case linear programs. for the small sample, incomplete data, Duvall, Steven Grant, Parametric algo multiwriate normal growth-wear curve MATHEMATICS rithms for the linear complementarity problem: Comparison of alternative mod Hart, Dean Robert, Disjoirltness preserv- problem. els and determination of critical values ing operators. Glynn, Peter Winston Gunnar, Simula and power. tian output analysis for general state Claremont Graduate Sehool MATHEMATICS 8Jlace Markov chainB. (1;1,0,0,0,0,0,0} Jaw, Yung-Li Lily, An autoregressive Harris, James Kelly, Invariants of posets under F-morphisms. MATHEMATICS method for simulation output analysis. von Bachhaus, Anton L. W., A gener Jaw, Richard Leon, Some contributiOfiB Sierra, Hector Francisco, Price rigidities ali.ration of Hermite polynomials. to the theory of random sets. in a general equilibrium model for the Mezican economy. ARIZONA Stanford University Wittrock, Robert James, Advances in (38;4,16,0,12,2,0,4} a nested decomposition algorithm for solving staircase linear programs. Ari1cma State Uuivenity ENGINEERING-ECONOMIC SYSTEMS (2;1,0,0,0,1,0,0} Wood, Alan Paul, Multistate reliability. Chion-Chacon, Sergio, Some ezplanatiOfiB MATHEMATICS for the recurrent problems in the balance STATISTICS Andrews, James Arthur, Non-Mar/covian of payments of developing countries. Choi, Byoung-Seon, A conditional limit infinite particle systems. Fortes, Lauro, Effects of cOfiBUffler infor characterization of the mazimum entrtJp!f Mistiri, Fatallah Saleh, Star-product and mation on product selection and infiO'Va qectral defiBity. linear d!lflamical 8!/Btems. tion. Crager, Michael Richard, Ezponential University of AriiODa Horan-Hecker, Avshalom, Air defenBe tail quantile estimators for air quality (3;1,0,0,0,2,0,0} strategies: Analysis by differential games. data. Kim, Soung-Hie, Mar/covian methodology APPLIED MATHEMATICS Fairley, David, Statistical analysis of for encoding and upclatirlg the priar prob ambient oak pollen concentratiOfiB: San Doerr, Thomas, An analysis of errors ability asseBBmeflt on d!fOOmic processes. ~ancisco Bay area case study. in the algebraic reconBtruction technique Martin, Alberto, A concave discrete Galfond, Glenn Joseph, Robust estima with an application to geotomography. resource allocation. tian of eztreme quantiles. Przybytkowski, Stanislaw, Unsteady Mori, Shozo, A theory of bargaining Gong, Gail Diane, Cross-validatian, the tranBonic flow in wind tunnels. process: A game theoretical approach. jacklmife, and the bootstrap: Ezcess error MATHEMATICS Oh, Hyung Sik, Product differentiation in estimation in forward logistic regressian. Jacobson, Eliot Thomas, Green functor markets with congestion. Halpern, Jerry Ward, Robust quanta! cofl8tructi0718 in the theory of associative Parkinson, Thomas W., Using complez aBBay, cemored regression, and mazimally algebras. profit models in decisian analysis. selected chi-squared statistics. Powell, Stephen, The trafiBition to non Huffer, Fred, The moments and distribu ARKANSAS depletable energy. tiOnB of some quantities arising from Stoughton, Neal, Corporate mergers and random arcs on the ciri:le. University of Arkansas capital structure: Theory of financial Iyengar, Satish, On the evaluation of (1;1,0,0,0,0,0,0} market GB!ffflmefry. certain multiwriate normal probabilities. MATHEMATICS Tom, Jim, Adaptive quota policies for the Kuk, Anthony Y. C., A mia:ing distribu survival control of fisheries. Sinith, Robert Colman, Uniform al tion approach to estimating particle size gebras: Localization and algebras of Yamada, Takeo, Structural controllability distributiOnB. sequences induced by bounded analytic and observability of linear time-invariant Orav, Endel John, Discrete time alternat functi0718. descriptor 8!/Btems. ing processes and effects due to noise.

734 Peters, Stephen C., Bootstrapping a Lissauer, Jack Jonathan, Dynamics of Ghandehari, Mostafa, Geometric in regression equation: Some empirical Saturn's rings. equalities in the Minkowski plane. results. Lott, John William, Applications of heat Missel, Colin Hugh, A complete structure Belike, Thomas Martin, Large sample kernel ezpansions of quantum field theory. theory for pw+l projecti11e Abelian p theory for sequential analysis of the McMillen, Robert William, Contractive groups. proportional hazards model. and hypercontracti11e estimates on the O'Donnell, Mark Allen, Boundary and Takemura, Akimichi, A statistical ap unit circle. interior layer behavior in singularly proach to zonal polynomials. Nakata, Masaomi, Quasi-linear e11olution perturbed nonlinear systems. Verducci, Joseph S., Discriminating be equations in non-rejlecti11e Banach SJI.IUleS Pfiefer, Richard Edward, The e:r:trema of tween two populations on the basis of and applications to hyperbolic systems. geometric mean 11alues. ranked preferences. Nakata, Mie, Harmonic analysis on local Wenocur, Michael Louis, A production fields. University of Califomia, network model and its diffusion ap Palacios, Jose Luis, The ezchangeable Ir,vine prozimation. sigma-field of Markoll chains. (1;1,0,0,0,0,0,0) University of California, Renegar, James Milton, On the computa MATHEMATICS Berkeley tional complezity of simplicial algorithms Stanke, Ronald Jay, Intertwining ( 45;15,9,2,10,6,0,3) in approzimating zeroes of comple:r: poly operators and uniformly bounded repre nomials. sentations ofSU(1,n+ 1), n > 0. BIOSTATISTICS Schorow, David James, Dihedral branched Johnson, Laura Derelle, The geographic COI/ers in knots in S3 University of Califomia, and statistical analysis of air qoolity data Shallit, Jeffrey Outlaw, Metric theory of Los Angeles in the United States. Pierce ezpanisons. (9;3,3,0,0,3,0,0) Kaldor, John Martin, Statistical proce Shokranian, Saladoddin, Results on the BIOSTATISTICS dures for the design and analysis of in dimension of the space of cusp forms on Mickey, Ruth, Estimation of partial vitro mutagenesis assays. classical domains of type IV. association from many small strata. Skurnick, Joan Hardy, A class of Smith, Wayne Stewart, BMO(p) and Morgan, Timothy Mack, Value of bi11ariote distributions for paired con Carlson measures. c011ariotes in randomized clinical trials. tinuous and discrete wriobles. Taylor, Derek Roy, Analysis of the look Schluchter, Mark Dale, Distribution INDUSTRIAL ENGINEERING AND ahead Lanczos algorithm. free tests for randomized block designs OPERATIONS RESEARCH Tong, Po, Coding for band-limited chan when obseroations are subject to right Agrawal, A vinash, Reliability analysis of nels. censorship. rooted directed networks. Tschantz, Steven Thomas, Constructions MATHEMATICS Boysen, Joerg, Aggregate project model in clone theory. Wells, Benjamin Franklin, Pseudorecur Cole, Susan L. Epps, Near critical free for resource allocation within multiproject surface flow past an obstacle. construction systems. sitle varieties and their implications for word problems. Frazier, Michael Wallace, Functions of Evnine, Jeremy Joseph, Three essays in bounded mean oscillation characterized by the use of option pricing theory. Willis, Catherine Marie, ln11erse eigen llalue problems with torsional modes. a restricted set of martingale or Riesz Perez-Galindo, Hector, An ezplicit enum transforms. eration algorithm for distribution systems STATISTICS Jackson, Stephen Craig, A calculation of planning. Bolfarine, Heleno, On combining ezperts' 6~. Sevilla, Agustin Ramos, A Lagrange assessments. multiplier/surrogate-constraint model for Maxey, Gilbert Charles, Automorphic resource allocation problems. Burman, Prabir, Smoothing in discrete representation of the classical modular multitlariote analysis. symbol. Shachter, Ross D., The economics of a difference of opinion: An incenti11e Folledo, Manuel, Robust/resistant Prue, Howard Michael, On the e:r:istence approach to eliciting probabilities. methods in the estimation of the e11oked of travelling-wa11e solutions of second response curoe. order nonlinear hyperbolic syste~ of Wood, Roger Kevin, Polygon-to-chain reductions and eztensions for reliability Kempthome, Peter James, Variable se conserwtion laws with singular lliscosity e11aluation of undirected networks. lection and parameter estimation for matrices. normal linear regression models. Schleiniger, Gilberto Fontenla, Study MATHEMATICS Sagalovsky, Benjamin Dario Jarupskin, of non-a:J:isymmetric flows in a gas Agahi, Massoud, Second order differential Ma:J:imum likelihood and related estima centrifuge. partial equations of miud type. tion methods in point processes and point University of Califomia, process systems. Bao, David Dai-Wai, Some aspects in the Riverside dynamics of super gravity. Ture, Tahsin Erkan, On the construction ( 4;2,0,0,0,2,0,0) Chang, Mei-Chu, Some results on stable and optimality of balanced treatment in rank 2 11ector bundles and refle:J:itle shea11es complete block designs. MATHEMATICS onP3 Veitch, James Garfield, Minimum dis Chang, Derek Kong, &measures, har Dehnert, James Craig, The analysis of tance procedures in stationary time series. monizable processes and filtering. errors in contezt free languages. Wakim, Paul, A Bayesian method for lroz, Juana Mary, Associated primes, Dussault, Robert William, Picture and model discrimination using the Kalman attached primes and cograde. 3-dimensional homology classes. filter. Palosaari, Gary Clayton, Spectral decom Dyck, Stephen Douglas, Some applica Wong, Chi-Wing, Transformation of in- position for non-selfadjoint perturbations tions of positi11e formulas in descripti11e dependent 11ariobles in regression models. of singular Bessel differential operators. set theory and logic. University of Califomia, Parsons, Bradley Niel, General K-part Ghahramani, Saeed, Finiteness of busy stationary iterati11e solutions to linear Davis solutions. period moments of queueing systems. (6;5,0,0,0,1,0,0) Janke, Steven John, Recurrent sets for University Califomia, MATHEMATICS of transient Lell!l processes. San Diego Langer, Therese, Some self-dual S0(3) Akis, Vladimir Nicholas, Fi:r:ect.point (3;2,0,0,0,0,0,1) solutions of the Yang-Mills equation and theorems and almost continuity. a note on harmonic maps. Feitosa, Edilson De Castro, Sets of con MATHEMATICS Langlois, Jean-Pierre Patrick, Repeated stant width and ineqoolities in Minkowski Chen, Young-Ming, Combinatorial algo play in non-cooperative game theory. spaces. rithms for plethysm.

735 Finston, David Robert, The algebra of Koslov, Judith W., Confidence bounds for Esham, Benjamin Franklin, Jr., A sin polynomial functio'fl8 on a non-associative autoregressive spectral estimates. gular perturbation problem for a nonlinear algebra. evolution equation. Pritchard, Frank Leon, Behavior of zeros University of Denver Smith, Robert Thomas, A class of inverse of polynomials with coefficients in a finite (1;0,0,0,0,1,0,0) scattering problems in acoustics. dime'fl8ional k-algebra. MATHEMATICS AND University of Califomia, COMPUTER SCIENCE DISTRICT OF COLUMBIA Santa Barbara Lahlou, Mourad, Highly accurate inver (6;3,2,0,0,1,0,0) sion methods for 3-D stratified media. American University (4;0,4,0,0,0,0,0) MATHEMATICS University of Northern Colorado Abram, Thomas Joseph, Parts in the (3;1,1,0,0,1,0,0) MATHEMATICS, STATISTICS AND COMPUTER SCIENCE mazimal ideal space of H""', a harmonic MATHEMATICS AND analysis approach. APPLIED STATISTICS Matthews, Peter, New techniques for dis Hu, Shu-Ping, Subset selection with crimination with nominal level variables. inverse-sampling procedures and Dirichlet Abdel-Megeed, Samir, Monte Carlo study Samuhel, Michael E., A general approach distributio'fl8. of psychometric effects of scaling levels on to the missing data problem. the Pearson product moment correlation Huffman, Mark Randall, Boundary be coefficient. Schloss, Louis, Weighted agreement with havior of harmonic functio'fl8. categorical data. Beran, David Frank, A study of solu Kidman, Kent Owen, Stochastic matrices Welsh, Anne Kramer, A generalized and unitarily invariant norms. tion methods, stability properties, and applicatiO'fl8 of difference equatio'fl8. cO'Variance estimator for the analysis of Sadek, Ibrahim Said, Theory and ap asymmetric time series. plication of a mazimum principle for op Sawasdikosol, Kamol, Techniques and timal control of systems with distributed applicatio'fl8 of finding the indefinite George Washington University parameters. integral of rational and other functiO'fl8. (6;3,0,0,3,0,0,0) Schweitzer, Robin Lesley, On tests for MATHEMATICS the two-sample problem based on higher CONNECTICUT Arwini, Ali Saleh, Order compactness order spacing frequencies. Wesleyan University and complete regularity in topological University of California, (1;1,0,0,0,0,0,0) preordered spaces. Santa Cruz MATHEMATICS Haynes, Tyler Henry, Jr., Invariant (2;2,0,0,0,0,0,0) mea'fl8 on semi-topological traM/ormation Mulvey, Irene T., Periodic, recurrent MATHEMATICS semigroups. and non-wandering points for continuous Pandian, Ramaiah Devadoss, Relatively Migliore, Edward T., Determination of maps of the circle. the mazimalsubgroup of G2(q), q odd. almost periodic and distal semigroup compactificatio'fl8 and related fixed point Pierce, John, Morse theory in the conte:J:t Yale University of elastostatics: A prototypical problem. (10;8,2,0,0,0,0,0) theorems. University of Southern California MATHEMATICS OPERATIONS RESEARCH (1;1,0,0,0,0,0,0) Benson, Frederick Challoner, Charac Arsham, Hossein, Poisson process ap teristic classes for symplectic foliatio'fl8. prozimatio'fl8 of confidence regio'fl8 for MATHEMATICS distribution functio'fl8 based upon generaf.. Hulbert, Douglas Strong, Asymptotic Carlin, Kevin Joseph, E:I:tensio'fl8 of Verma modules. ized K-8 statistics. behavior of solutiO'fl8 to nonlinear Volterra Mazzuchi, Thomas Andrew, Some non integral equatio'fl8 in Banach spaces. Lee, Jyh-hao, Analytic properties of ZalcharO'V-Shabat inverse scattering prob parametric Bayesian estimates of the COLORADO lems with a polynomial spectral depen failure rate function. dence of degree 1 in the potential. Roque, Diego Reyes, Queueing networks Colorado State University Marker, David Ellis, Degree coding models structured via interacting overflow lines: (6;1,2,0,0,3,0,0) of arithmetic. A new perspecttve on queues. MATHEMATICS Michalek, Gary Edwin, A formulation of Aston, Martha B., An implicit scheme for a generalized Bore/..- Weil theorem. FLORIDA water wave problems. Murray, Margaret Anne-Marie, Non Bowers, Kenneth L., A mathematical linear operators and multilinear convolu Florida State University model of oil shale retorting. tio'fl8 commuting with dilatio'fl8. (8;3,4,0,0,1,0,0) Kouba, Duane A., Regularization with Ratclilf, Gail Dawn Loraine, A symbolic MATHEMATICS AND nth order linear boundary value problems calculus for 3-step nilpotent Lie groups. COMPUTER SCIENCE using mth order differential operators. Tongring, Nils Ronald, Multiple points of Jou, Jong-Jhy, Compositionally convective Vogel, Curtis Rainer, Probabilistic Brownian motion. and morphological iMtabilities of a fluid methods for the inversion of first kind layer of binary alloy with freezing at the integral equatio'fl8. STATISTICS Arnold, Jonathan, Statistics of natural lower boundary. STATISTICS populatio'fl8: Seasonal wriation in inver Kutter, Mary, Manifold factors that are Buonaccorsi, John Philip, Inference and sion frequencies of Mexican Drosophila the celf..-like image of a manifold. · design for ratios of linear combinatiO'fl8 pseudoobscura. Repovs, Dusan, Topology of generalized in the general linear model. Barry, Daniel Gerard, Non-parametric three-manifolds with zero-dimeMional Ebong, Daniel Wilson Udo, Some general Bayesian regressian. singularities. statistical inferences on the 'hidden STATISTICS periodicity' model. DELAWARE Brindley, Dennis Alfred, Some results on University of Colorado the distribution of Grubbs estimators. (2;0,1,0,0,1,0,0) University of Delaware (3;1,0,0,0,2,0,0) Chaganty, Narasinga Rao, Large de'lliar MATHEMATICS tion local limit theorems, with applica Halasi, Kadosa, Numerical solution of MATHEMATICAL SCIENCES tio'fl8. two dimeMional potential problems us Dallas, Allan Gill, On the scatten'ng Kim, Jee Boo, Ranking and selection ing Fourier analysis, boundary integral of electromagnetic waves by perfectly procedures for ezponential populatio'fl8 equatio'fl8 and near-far concepts. conducting bodies moving in vacuum. with censored obseroatio'fl8.

736 Park, Dong Ho, Testing whether new is Hungspruke, Rossukon, Distribution of University of Chieago better than used of a specified age. the largest and smallest characteristic (12;7 ,3,0,0,2,0,0) Sinclair, Dennis F., Tests of displacement roots: Evaluation, comparison with and ordered mean hypotheses. approximations and applications. MATHEMATICS Kim, Kee Young, A study of the Dirichlet Brandt, Jorgen, Characteristic and table University of Florida distribution (8;5,2,0,0,0,0,1) family and applications. modules. Bump, Daniel, Automorphic forms on INDUSTRIAL AND SYSTEMS HAWAll GL(3,R). ENGINEERING Eie, Minking, Dimension formulas for the Sencer, Yeralan, Analysis of serial produc University of Hawaii vector spaces of Siegel's. (4;0,3,0,0,0,0,1) tion lines that are subject to breakdown. Haeberly, Jean-Pierre, Completions in MATHEMATICS PUBLIC HEALTH SCIENCES equivariant K-theory. Dow, Stephen John, Some problems in Choe, Minja Kim, Risks of infant and Krop, Leonid Jeflini, Tensor-type repre incidence geometry. early childhood mortality: A multivariate sentations ofMatoo(Zp). Kenoyer, David B., Generalizations of analysis model with application to Korea Milnor, Fabio Augusto, Mixed finite ideal theory. 1960-1978. element methods of quasilinear second Mason, Dorothy Alice, Open mappings Chu, Susan Ying, Assessment of the order elliptic problems. and dimension. comparability of frequency and quantita Ramanathan, Jayakumar G., Harmonic Wijesinha, Alexander L., Minimal class tive dietary intake measurements for maps from surfaces to the Grassman theorems in measure theory. epidemiologic studies of diet-disease as nians. Toledo, Manzur Juan, Finite and com sociations. Santos, Juan Enrique, Finite element pact actions on chainable and tree-like Joesoef, Mohamad, Epidemiological model methods for the simulation of wave continua. and resource allocation for tuberculosis propagation in two-dimensional inhomo control in the Republic of Korea. geneous elastic media. STATISTICS Meng, Kwang Ho, Factors affecting Uchiyama, Akihito, The Fefferman-Stein Schollenberger, John, Categorical data the Korean secondary sex ratio decomposition of smooth functions and analysis with an ordinal response variable demographic and epidemiological con its application to EP'(Rn). and interval ezplanatory variable. sideration. Suissa, Samy, Exact unconditional tests STATISTICS for 2 X 2 contingency tables. IDAHO Schafer, Daniel William, Use of the correction for attenuation estimator with University of Miami Idaho State University judgemental information. (6;3,0,0,0,0,0,3) (2;1,0,0,1,0,0,0) Shott, Susan, Limit theorems for mixing MATHEMATICS AND MATHEMATICS arrays. COMPUTER SCIENCE Tanner, Martin Abba, Nonparametric Demsky, Scott Olan, Michael John, Mathematical Harvey, Generalizations modelling of inventory estimation of the hazard function from of addition sets and related structures. control. Oxenrider, censored data. Drost, Clinton John, Dyad and John L., Unramified extensions of Kronecker normal domains. products of matrices. University ofDlinois, Chieago Montes de Oca, Ana, Unicoherence in University of Idaho (6;3,1,1,0,1,0,0) topological spaces. (2;1,0,1,0,0,0,0) MATHEMATICS, STATISTICS Montes de Oca, Francisco, Nonconstant AND COMPUTER SCIENCE MATHEMATICS AND periodic solutions of nonlinear differential APPLIED STATISTICS equations. Grace, Thomas, Graceful, harmonious, and sequential graphs. Sarmiento, Jorge, Generalized Hadamard Ayers, Kathleen Louise, An acceptor for matrices. semilinear bounded and other context Hull, David, toward a theory of bisexual sensitive languages. Galton- Watson branching processes. Shershin, Carmen Baytan, Mathematics in cryptography and communication. Smith, Bryan, Even pretzel knots and Hwang, Huen-Luen, On {lc,t) trades and property P. the construction of bib designs with GEORGIA repeated blocks. ILLINOIS Mohrherr, Jeanleah, Index sets and truth Georgia Institute of Technology table degrees in recursion theory. (3;1,0,0,0,2,0,0) Northwestern University Ryan, Dennis, Stochastic optimal control (2;1,1,0,0,0,0,0) MATHEMATICS applied to harvesting of a renewable MATHEMATICS resource in a disastrous environment. Bielecki, Daria Jan, Initial value problems for some two and three dimensional arrays Alho, Juho, Uncertain population forecast Walker, James, Operator theory in Hilbert of harmonic oscillation. ing. space. Raddatz, William Daniel, Bounds and Schwartz, Mark David, New proofs and University of Dlinois, estimates for the linearly perturbed eigen application of a theorem of Komlos. Urbana-Cha!np~ value problem. Southem Dlinois University, (12;5,0,0,0,3,0,4) Withers, William Douglas, Extensions of Carbondale MATHEMATICS the concept of derivative to all monotone (3;0,1,0,0,1,0,1) functions. Blumer, Anselm Cyril, Bounds on the MATHEMATICS redundancy University of Georgia of noiseless source coding. ( 4;0,4,0,0,0,0,0) Holliday, Robert Lee, Quasisymmetric Dabrowski, Andre Robert, Invariance block designs: Results concerning affine principles for random processes generated STATISTICS AND resolvability, parallelism properties and by extrema and partial sums of random COMPUTER SCIENCE the casey=>... variables. Badarinathi, Ravija, Multivariate gener Komanska, Henryka Krystyna, Con Snader, Jon Christopher, Bishop's condi alized classification statistics. tributions to multipurpose and multi tion beta and decomposable operators. Chen, Micah Yikman, Modified moment variate surveys. Thomas, Mark Allen, Generic reductions and maximum likelihood estimators for Setork, Ali, Mathematical models and of an integrable g-structure and an parameters of the three-parameter inverse their numerical solutions for the flow field infinitesimal version of Cartan-Sternberg Gaussian distribution. of high velocity water jets. reduction.

737 Wingler, Eric Jeffrey, Analytic unitary Malakooti, Behnam, An interactive paired Gustafson, John Leroy, Asymptotic for operators. comparison method for multiple criteria mulas for elliptic integrals. decision making optimization. Zimmerman, Jay James, The occurrence STATISTICS of certain types of groups as automor Sanii, Ezatollah, A computerized process phism groups. planning system using tool classification Amemiya, Yasuo, Estimators for the and coding. errors-in-variables model. THEORETICAL AND APPLIED Suominen, Satu Marketta, Auer, Richard E., Shrinkage estimators MECHANICS Impact of changes in physical fitness on the for multiple parameters. Bowers, Glenn Lee, The influence of pore effectiveness of decision making. Christenson, Peter David, Variable selec fluid on the stability of a rock mass with Swain, James Joseph, Monte Carlo tion in multiple regression. a weakened zone. estimation of the sampling distribution FahreiJ.holtz, StevenK., NormalBayesian Kumar, Ranganathan, Studies in un of nonlinear least squares. two-armed bandits. steady thermal penetrative convection. MATHEMATICS Ihnen, Leigh A., Computation of the Kuo, An-Yu, Dynamic analysis of interfa Chang, Chin-Huei, Problems in partial incomplete beta function and the inverse cial cracks in composite laminates. differential equations and applications to incomplete beta function. Lam, Poh-Sang, Numerical analysis of several complez variables. Lin, Char-Lung, Statistical computing stable crack growth in elastic-plastic Dyksen, Wayne Robert, Tensor product support for Lp estimation in augmented materials in small scale and general generalized alternating direction implicit linear models under linear inequality yielding. methods for solving separable second restrictions. Tung, Andrew Train-Chao, Properties of order linear elliptic partial differential Nkansa, Paul T., Network p-median conditional eddies in free shear flows. equations. problems: theory and applications. Yao, Chung-Sheng, High Reynolds num Fenton, William Ellis, Aziomatic con Pantula, Sastry Gouripathi, Properties ber unsteady thermal convection in a vezity theory. of estimators of the parameters of shallow layer. Huerta, Ivan, Optimal difference formulas. autoregressive time series. Mulay, Shashikant B., Modification of Peixoto, Julio Le6n, Estimation of INDIANA local rings by quadratic transformations. random effects in the balanced one-way Senger, Steven Orville, The e2listentiol classification. Indiana University theory of concatenation 011er a finite Ponder, Wendell, Investigations of model (8;3,2,0,0,2,0,1) alphabet. validity using residuals. Rangachari, Lakshmi, MATHEMATICS Shehadah, Adel Meif, Embedding Aspects of the theorems for semigroups with involution. analysis of variance. Barab, Jacqueline E., Globular behavior of Shen, Nien-Tsu, Embeddings of Hilbert Razmpour, Ahmed, Estimation of com solutions to the Cauchy problem for some bimodules. mon location and scale parameters. nonlinear wave equations and hyperbolic Welstead, Stephen Thomas, Orthogonal Yeo, Woon Bang, Selection through an systems. polynomials applied to the solution of associated characteristic. Brunson, Barry W., Martingales indexed singular integral equations. by a partially ordered set. University of Iowa Carlson, Mark Arnold, Central limit STATISTICS (7;3,3,0,0,0,0,1) theorem for linear rank statistic process. Kao, Tzu-Cheg, Moo:imum likelihood diserimination and logistic regression. MATHEMATICS Cheney, Margaret, Quantum mechanical scattering and inverse scattering in two Tollar, Eric Steven, On a multi- Lin, Tzu-Chu, The numerical solution dimensions. compartment storage made!. of the Helmholtz equation using integral equations. K wak, Jin Ho, Stable parallelizability of University of Notre Dame lens-like spaces. (8;8,0,0,0,0,0,0) Ortmeyer, William Albright, C011ering spaces of 3-manifolds. Raphael, Marc, Quasisimilarity and cyclic MATHEMATICS subnormal operators. Pantoja-Marcari, Jose Eduardo, Liftings Be~e, Ekin Mukadder, On the spanned of supercuspidal representations of Gl2. Schovanec, LIIWl'CD.ce, Crack problems ness and very ampleness of certain line Smith, William Maclean, An eztension of in nonhomogeneous bodies and related bundles on the blowups ofPb and Fr. e21istence results. cone techniques to wedges with applica Bradley, Michael J., On the orders of tions to biological models. Wu, Tiee-Jian, Gaussian approo:imation automorphism groups of complez projec of signed linear rank statistics process tive hypersurfaces. STATISTICS AND with applications. Cheng, J'ih-Hsin, Graded Lie algebras of AcTUARIAL SciENCE the second kind. Iverson, Harald Karl, Asymptotic Purdue University properties of U-statistics with estimated (21;7,2,1,7,2,0,2) Coulton, Patrick, A cylinder theorem for OR-manifolds. parameters. INDUSTRIAL ENGINEERING D'Souza, Harry, Classification of three Simon, Stephen David, A class of Bengston, Neal Martin, Development and folds whose hyperplane sections are eUiptic non-iterative slope estimators in linear use of operational analysis model error surfaces. regression. measures. Livorni, E. Laura, Classification of Warrack, Anthony Giles, Some Choi, Byoung Kyu, CAD/CAM com algebraic surfaces with the genus of a hypothesis tests under order restrictions. patible tool-oriented process planning for hyperplane section less than or equal to machining centers. Biz. KANSAS Dattero, Ronald Steven, Stochastic Patrizio, Giorgio, Parabolic ezhaustion models from event count data. for strictly convez domains. Kansas State University (4;1,3,0,0,0,0,0) EIIW&l'an, P. K., Interactive decision Spelleey, James W., The defect relation making with multiple eriteria-algorithms on polydiscs. MATHEMATICS and applications. IOWA Chima, Javed, Near n-gons with thin Kachitvichyankul, Voratas, Computer lines. generation of Poisson, binomial, and Iowa State University hypergeometric random variables. (15;1,13,0,0,1,0,0) STATISTICS Li, Cheng-Ming, An integrated production MATHEMATICS Levy, Martin Stuart, On prediction planning and control system for steelmallr Eucker, Bradley A., Nonlinear resonances functions. ing facilities with an energy conservation in spin-orbit coupling problems with three Neill, James William, Testing regression criterion. degrees of freedom. function adequacy without replication.

738 Schwenke, James Robert, Using a Univenity of Maryland, Baltimore Shimamoto, Don Harvey, An integral hold-out data set in a cross-11alidation (1;0,1,0,0,0,0,0} version of the Brown- Gitler spectrum. scheme to test for instability of regression estimates. MATHEMATICS AND COMPUTER Clark Univenity SCIENCE (2;2,o;o,o,o,o,o) University of Kansas McCloskey, Joseph Paul, Properties of (1;1,0,0,0,0,0,0} r-potent matrices, eztensions of Cochran's MATHEMATICS MATHEMATICS theorem, and distribution of complez quadratic forms. El-Zohny, Habiba A., Splice algebras. Darnel, Michael Roy, Lattice-ordered Kably, Abdel-Karim, Eztensions of the groups. Univenity of Maryland, classical indez. College Park KENTUCKY (11;7,0,0,0,4,0,0} Harvard Univenity MATHEMATICS (19;6,3,3,0,4,0,3) University of Kentucky David, Nancy, A first order APPLIED SCIENCES (3;2,0,0,0,1,0,0} theory of regression with errors in the 11ariables. Cain, Kffi(i.n. C., Stock size estimation for MATHEMATICS Dorr, Milo, Piecewise polynomial ap commercial fish: Robust estimation and Greenwell, Catherine Elizabeth, Finite prozimation in the P-11ersion of the finite bounded influence regression applied to element methods for partial integra element method. the ground/ish suTI!ey data. differential equations. Dougherty, Daniel Joseph, Jr., Resolu Cassandras, Christos G., Sample path Metcalf, Scott, Finding a boundary for a tion, Gentzen systems and literal trees for analysis of discrete event dynamic sys Hilbert cube manifold bundle. propositional logic. tems. Duchon, Nicholas, In11olutions on plumbed STATISTICS Feit, Elliot Jacob, Procedures for fitting manifolds. Gaussian linear time series models with O'Cinneide, Cohn Art, Some results for Jankins, Mark, The space of homomor independent and stationary components. phisms of a Fuchsian group to PSL(2,R). the infinite seTI!er queue in a random Frankel, James L., The architecture of environment. Johnson, Thomas H., On tangles and closely-coupled distributed computers and their polynomials. their language processors. Joyner, William David, LOUISIANA The harmonic Herrmann, Jeffrey C., Reference-based analysis of summation operators and the protection. Louisiana State University, Riemann zeta function. Baton Rouge Kramer, David, Applications of Gauss's Lai, Ming-Yee, Multilevel concurrency control for database management (2;2,0,0,0,0,0,0) theory of reduced quadratic forms to zeta systems. functions and modular forms. Newsam, Garry N., Numerical recon MATHEMATICS Tolstoy, Alexandra, Influence of localized struction of partially known transforms. Kaiser, Raymond Joseph, Eigen11alues of precipitation-induced D-region ionization Papageorgiou, Nikolaos, Nonsmooth and nuclear operators of diagonal type. enhancements on subionospheric VLF multi11alued analysis with applications in Vicknair, J. Paul, On valuation rings pr11pagation. optimization. as homomorphic images of 11aluated Trenholme, Alice Ruth, Radial subal Ramsdell, John Douglas, Structural domains. gebras of function algebras associated with analysis of large sparse systems of the free group on n generators, Za * Za, nonlinear equations with application to Tulane Univenity and PSL(2, Z). fire modeling. (2;2,0,0,0,0,0,0} Szymczak, William, An adapti11e finite Raubitschek, Ruth S., Product differ MATHEMATICS element method for convection diffusion entiation and brand proliferation. problems. Dimitric, Radaslov, Slenderness in BIOSTATISTICS Abelian categories. MASSACHUSETTS Franzen, Berthold, On torsion-free Parker, Robert A., A Bayesian approach modules o11er 11aluation domains. to the design and analysis of case-control Boston University studies. Univenity of Southwestern Louisiana (1;0,0,0,0,1,0,0) MATHEMATICS (1;1,0,0,0,0,0,0} MATHEMATICS Grinberg, Eric Liviu, Integral geometry MATHEMATICS AND STATISTICS Pelikan, Stephen, The dimension of on compact symmetric spaces. Choate, David Beddoe, Simple rings with attractors on surfaces. Mantini, Lisa A., An analog of the Penrose idempotents. Brandeis Univenity correspondence for representations of (6;6,0,0,0,0,0,0} U(p, q) on L 2 -cohomology. MARYLAND MATHEMATICS Neeman, Amnon, Topics in algebraic geometry. Johns Hopkins Univenity Artale, Maria, On the resolution of the Previato, Emma, Hyperelliptic cuTI!es and (4;2,0,0,1,0,0,1} cokemel of the generic map induced solitons. between Schur fundors corresponding to MATHEMATICAL SCIENCES a partition. Vojta, Paul Alan, Integral points on 11arieties. Beattie, Christopher A., Some conver Goldberg, Lisa Robin, K-flat structures gence results for intermediate operators on manifolds and ezotic characteristic Yang, Deane, Involutive hyperbolic differ that displace essential spectra. classes. ential systems. Robertson, Alastair Douglas, Selection Kaiser, Barbara Knight, Some algebraic STATISTICS of tests in medical screening. problems arising from the study of class groups in z~ eztensions. Ryan, Louise Marie, Part 1: The weighted MATHEMATICS normal plot. Part II: Efficiency Knight, Karl, Some invariants associated of tests Tai, for carcinogenicity. Bing-sheng, On a generalization of with deformations of hypersurface sin Kronecker's limit formula. gularities. Tomberlin, Thomas Jerome, A statistical Wachter, Ralph Franklin, On zeta Schreyer, Frank Olaf, Syzygies of cuTI!es perspective on predicting losses in auto functions. with special pencils. mobile insurance.

739 Massachusetts Institute of St. Vmcent, Michael, Some results on MATHEMATICS Technology phase-locking of forced oscillators. Bercovici, Hari, The structure of Co (25;16,2,1,4,1,0,1) University of Massachusetts, operators. MATHEMATICS Amherst Canjar, Robert M., Model theoretic (5;4,0,0,0,1,0,0) properties of countable ultraproducts Alexander, Kenneth Sidney, Some limit without the continuum hypothesis. theorems and inequalities for weighted MATHEMATICS AND STATISTICS and non-identically distributed empirical Carstensen, Patricia J., The complexity processes. Fettes, Susan Elizabeth, On the repre of some problems in parametric linear sentation theory of the symmetric and and combinatorial programming. Antoniano Mateos, Jose Luis Manuel general linear groups. Microlocal analogs of fractional integrals: Chang, Dar Jen, Boundary value problems Guy, Robert, Singular points of nonlinear for a quasilinear elliptic equation. Assmann, Susan Fera, Problems in operators. discrete applied mathematics. Foote, Robert, Curvature estimates for Rosen, Jerry David, Generalized rational Monge-Ampere foliations. Bedard, Robert, Brauer lifting of modular identities and rings with involution. representations. Hailat, Mohammad Qassem, Structure of Rosen, Mary Peles, Isomorphisms of a symmetrysets. Casian, Luis Guillermo, A global Jacquet certain class of prime Lie rings. functor for Harish-Chandra modules. Heckman, Nancy, Repeated significance Seaman, Walter Iaan, Hypersurfaces of tests with random allocation. Colley, Susan Jane, On the enumerative constant mean curvature in euclidean geometry of stationary multiple-points. Hesaarak:i, Mahmud, Structure of shock space and groups of Heisenberg type. waves in magnetohydrodynamics. Goerss, Paul G., Results on Brown-Gitler Kazemi, Mohammad, Necessary condi spectra. MICWGAN Gupta, Rajiv, Fields of division points of tions for optimality of systems governed by ordinary and partial differentiol equa elliptic curves related to Coates- Wiles. Miehigan State Universit"t tions. Haran, Shai M. J., p-adic L-functions for (6;3,0,0,0,3,0,0) elliptic curves over CM fields. Krisnangkura, Yati, On harmonic measure level curves ink-domains. Harbourne, Brian, Moduli of rational MATHEMATICS surfaces. Assiff, Thomas C., Studies on the bending Langsam, Joseph, Some results on (BCP)-operators. Hriljac, Paul M., The Neron-Tate height of elastic plates. and intersection theory on arithmetic Dizaji, Ahmad F., Unfoldings of a Lazerson, Earl, The Jacobson radical of surfaces. class of singular free boundaries for the generalized polynomial rings. Ierley, Glenn R., Macrodynamics of alpha four dimensional axi-symmetric obstacle Ozluk, Ali, Pair correlations of zeros of dynamos. problem. Dirichlet L-functions. Plantholt, Michael, Coloring the lines of Izen, Steven Henry, Regularization of Doan, Hai Thanh, Invariant curves Sobolev norms of Lagrangian distribu for numerical methods and the Hopf a graph. tions. bifurcation. Robel, Gregory Frank, On the structure Johnson, Joseph Francis, Lie algebra MacCluer, Barbara D., Holomorphic self of (BCP)-operators and related results. cohomology and representation theory. maps of the unit ball iteration and Stark, Christopher Warren, Structure Landau, Susan E., On computing Galois composition operators. sets vanish for certain bundles over Seifert groups and its application solvability by Shute, Gary M., Ascending unions of manifolds. radicals. Chevalley groups. Townsend, Michael, The polynomial jump operator and complexity for type two Marcus, David Jeffrey, Non-stable laws Tingley, Daryl William, The geometry of with all projections stable and relation multidimensional scaling. relations. ships between Donsker classes and Sobolev Walker, Janice, Closure and expansions University of Miehigan, Ann Arbor in series of complex ezponentiols. spaces. (27;16,6,1,3,0,0,1) Masujima, Michio, Estimation of mean Western Michigan University in the presence of inliers. BIOSTATISTICS (1;0,0,0,0,0,0,1) Vardi, llan, On the spectrum of the Burns, Trudy Lynn, Sampling considera metaplectic group. tions for the determination of genetic MATHEMATICS Wu, Yihren, Weighted homogeneous transmission mechanisms in quantitative Fink, John Frederick, Random factors filtration on rings of pseudodifferential traits. and isofactors in graphs and digraphs. operators. Feingold, Marcia, Distribution of a test Yao, Yi-Ching, Estimation in the presence statistic based on combined intra- and MINNESOTA of noise, of a signal which is flat except inter-block treatment contrast estimates. University of Minnesota, for jumps. Greenhouse, Joel Bruce, The analysis Minneapolis Yukich, Joseph Elliott, Convergence of of survival data when a proportion of empirical probability measures. patients are cured: A mixture model. (8;3,3,0,0,1,0,1) MATHEMATICS OPERATIONS RESEARCH Jolayemi, Emanuel T., A Cp method to select a log linear model. DeLong, Richard Peter, Jr., Killing Bier, Vicki M., A measure of uncertainty Rodriguez Vera, Angel, Multipurpose op importance for components in fault trees. tensors and the Hamilton-Jacobi equation. timal sample allocation using mathemati Johnson, Gene Douglas, Criteria for Chandru, Vijaya, Complexity of the super cal programming. group approach to integer programming. stability of minimal surfaces in n-dimen sional Euclidean spaces. Constantopoul?s, Panagiotis Christos, INDUSTRIAL AND OPERATIONS Computer-assisted control of electricity ENGINEERING March, Peter Des Barres, Fatou's the usage by consumers. Anderson, Charles Kevin, A biomechani orem for harmonic functions of two-di mensional Ornstein- Uhlenbeck processes. Huang, Kuan-Tsae, Query optimzation in cal model of the lumbosacral joint for distributed databases. lifting activities. Nerurkar, Mahesh G., Generic theorems Gana, Akli, Studies in the linear com for lifting dynamical properties in the Northeastern University plementarity problem. class of continuous cocycles. (2;1,0,0,0,0,0,1) Marcellus, Richard L., Markov chain Takahashi, Jodi, Partition and saturation properties of ideals. MATHEMATICS disorder problems. Georges, John P ., Decomposable graphs Thomasma, Timothy Dale, The trian STATISTICS and edge colorings of 3-regular graphs gulation graph as a data structure for Jennings, Dennis E., Inference and with small number of vertices. computer aided design. diagnostics for logistic regression.

740 Runger, George C., Permutation tests in MONTANA Post, Steven, Finite type and subelliptic multivariate analysis. estimates for the CJ- Neumann problem. Wang, Pe-Cheng, Diagnostics in regres Montana State University sion models. (2;0,1,0,0,1,0,0) Rutgers University, New Brunswick (9;5,1,0,0,1,0,2) MATHEMATICAL SCIENCES MATHEMATICS MISSOURI Chew, Robert, Estimating toxicity curves by fitting a compartment-based model to Amgott, Steven M., Separable ringoids. University of Missouri, Columbia median survival times. Jiang, Jin-Sheng, A Lagrange multiplier finite element for the stationary Stokes (3;0,2,0,0,1,0,0) Winslow, Dennis Numan, Interlacing theorems for interface Sturm-Liouville problem. MATHEMATICS systems. Kadas, Zsuzsanna Margit, Two species reaction-diffusion systems: A piecewise Luxon, Bruce Arlie, Parameter estima University of Montana linear activator-inhibitor model. tion: Mathematical modeling of hepatic (1;0,1,0,0,0,0,0) Keller, Carol Ann, Cohomology and two transport kinetics. categories. MATHEMATICAL SCIENCES STATISTICS K won, Kil Hyun, Analytic hypoellipticity Rothan, Sister Adele, A distribution for a class of analytic pseudodifferential Bachhuber, John, Distribution free tests free scale test of the Kolmogorov-Smirnov operators with double characteristics. for comparing two multivariate popula type. Misra, Kailash Chandra, Structure of the tions relative to a one sided shift alterna tive. NEW HAMPSHIRE standard modules for A}t) and C~). Monk, Feltz, Carol J., Nonparametric maximum Peter B., Some finite element methods for likelihood estimation of stochastically Dartmouth College the approximation of the biharmonic ordered survival functions. (1;0,0,0,0,0,0,1) equation. Siegel, Alan, Smith equivalence of pseudo University of Missouri, Kansas City MATHEMATICS free representations for cyclic groups of (1;1,0,0,0,0,0,0) Lenhart, William J., Generalized quotient order 2a. families and balancesd incomplete block STATISTICS MATHEMATICS designs. Davis, Linda June, A comparative study Davila, Norbil, On numerical ranges and U · norm isometries. ruversity of New Hampshire of methods of estimating the parameter (1;1,0,0,0,0,0,0) in a linear logistic regression model for binomial response data. University of Missouri, Rolla MATHEMATICS (3;0,3,0,0,0,0,0) Hofmann, Mark Challis, On a conjugate NEW MEXICO class of subgroups determined by a MATHEMATICS AND STATISTICS formation. University of New Mexico Dania!, Edward Joul, Extension, (1;0,1,0,0,0,0,0) generalizations, characterizations and NEW JERSEY testing for independence through infinite MATHEMATICS AND STATISTICS divisibility. Princeton University Cornez, Richard Neil, Markov chains in Magel, Rhonda Cheryl Lank, Topics in (12;12,0,0,0,0,0,0) random environments with feedback. isotonic regression. MATHEMATICS Shiue, Wei-Kei, Experiment size for NEW YORK Poisso~ and negative binomial sampling, Banda, Shigetoshi, On the classification approxtmations of ratios ofF-variates and of three-dimensional compact Kaehler Adelphi University tests of equal gamma scale parameters. manifolds of nonnegative bisectional cur (1;0,0,0,0,0,0,1) vature. MATHEMATICS AND Washington University Bartnik, Robert, Existence theorems for CoMPUTER SciENCE (8;6,1,0,0,1,0,0) maximal surfaces. Impagliazzo, John, Deterministic models Friedman, Eduardo Carlos, Iwasawa in mathematical demography. MATHEMATICS invariants and Iwasawa theory for several Brega, Alfredo Oscar, On uniformly primes. Columbia University bounded representations of the Lorentz Grayson, Matthew Aaron, Geometry and (5;5,0,0,0,0,0,0) groups. growth in three dimensions. MATHEMATICS Carrington, Walter A., Jr., Moment Hook, Julian Lee, A many-sorted ap problems and ill-posed operator equations proach to predicative mathematics. Cherowitzo, William Edward, On with convex constraints. Jablow, Eric Robert, Quadratic vector the extension of harmonic pre-oval configurations. Cifuentes, Patrico, HP classes on rank classes and invariance properties of the one symmetric spaces of noncompact Riemann constant under the Torelli Klein, Peter, The trace on SL(2, C). type. transformation group. Kumar, Parameswaran, Einstein series, Selberg trace formula and Rankin con Cogswell, Richard L., Leaves with growth Low, Erik, Inner functions and boundary volutions. dominating the quadratic function in values in H""(fl) and A(fl) in smoothly foliations of codimension one. bounded pseudoconvex domains. McCarthy, John David, Subgroups of surface mapping class groups. Colzani, Leonardo, Hardy and Lipschitz Mosher, Lee D., Pseudo-Anosovs on spaces on unit spheres. punctured surfaces. Resnicoff, Gita, On a non-standard Nance, Dana Walter, A priori integral integral equation. Fernandez, Jose Luis, Coefficients of geometric estimates for nonpositively Bloch functions. Cornell University curved surfaces. Soria, Fernando, Classes of functions (22;9,0,0,6, 7,0,0) Noell, Alan Virgil, Properties of peak generated by blocks and associated Hardy sets in weakly pseudoconvex boundaries APPLIED MATHEMATICS spaces. in C2 . Bales, Laurence Albert, Semidiscrete and Van Eerdewegh, Paul, Statistical selection Orloff, Tobias Benjamin, Analytic con single step fully discrete approximations in multivariate systems with applications tinuation of Dirichlet series associated to for second order hyperbolic equations with in quantitative genetics. automorphic forms on unitary groups. time dependent coefficients.

741 Belair, Jacques, PhaJJe locking in lineMly Efrat, Isaac, Selberg trace formulae, Durinovic, Sanja, On multiple objective coupled relo:J:ation oscillators. rigidity and cusp forms. Marko'IJ decision processes. Byers, Ralph, Hamiltonian and ll!I"'Plec Epstein, Charles, Spectral theory of Gupta, Suchitra, On interpolation tic algorithms for the algebraic Riccati geometrically periodic hyperbolic three methods for boundary value ordinary equation. manifolds. differential equations. Chavez, Patrick F., Automatic procedures Fogelson, Aaron, A mathematical model Johri, Pravin K., On l'lllllrimising first in evolutionary finite element calcula and numerical study of platelet adhesion passage probabilities in Markov chain tions: Restoration of deteriorated meshes, and aggregation in the early stages of models. data transfer between meshes and mesh blood clotting. Koshy, Mathew, Quasi-Newton methods refinement. Li, Luen-chau, The Toda flow with for unconstrained optimization of func Friedman, Mark J., Finite element infinitely many particles. tions with sparse Hessians. formulation of the general magnetostatic Lin, Chang-shou, The local isometric Levine, Alan, On the optimal operation of problem in the space of solenoidal vector embedding in R 3 of two dimensional queueing 8!/sfems-AII!IrriPtotic results. functions. Riemannian manifolds with Gaussian Lin, Zein Cheng, Sequential test of com McConnaughey, Helen V., Three topics curvature changing sign cleanly. posite hypothesis with normal population. in combustion theory. Linfield, David, On the relative deter Shankar, Shiva, Singular nonlinear MATHEMATICS minancy of infinite games. differential equations. Marcal, Michael, Magnetic and drift Wilson, Donna, Algorithms for coloring Bayer, Margaret Mary, Facial enumera some classes of perfect graphs. tion in polytopes, spheres and other surfaces in toroidal plasma equilibria. Micallef, Mario, Stable minimal surfaces Wu, Tsong-Ho, An efficient algorithm for comple:us. deciding circulM-arc graph isomorphism. Bienenfeld, Mel, Zeta- and L-functions at in Euclidean space. zero: The case of a non-totally imaginary Ponce, Gustavo, Long time stability of MATHEMATICS algebraic number field. solutions of nonlinear evolution operators. Agrawal, Om P., Invariant subspaces of Bloch, Ethan David, Pulling apart Scovel, James, Geometry of some non shift operators/or the quarter plane. simplezwise lineM near-embeddings of linear differential operators. Almeida, Sebastiao, The geometry of 2-disli: in R 2 • Weinstein, Michael, Self-focusing and manifolds of nonnegative scalar curvature. Bohorquez, Jaime Alejandio, On the modulational analysis for nonlinear Chou, Arthur Wei-chung, The Dirac effective content of the theory of modules. Schrodinger equations. operator on singular spaces. Boyer, Steven Patrick, Shake-slice knots. SUNY at Albany Durumeric, Oguz, Manifolds with almost Desrochers, Maryse Camille, Self-duality {2;1,1,0,0,0,0,0) equal diameter and injectivity radius. of integers rings aJJ Galois modules. Itokawa, Yoe, On certain Riemannian MATHEMATICS AND STATISTICS Ghosh, Nllotpal, On the convergence of manifolds with positive Ricci curvature. the boundary element method. Li, Lung-An, Decomposition theorems, Misra, Gadadhar, Curvature inequalities Ikenaga, Bruce Masao, Homological conditional probability, and finite mi:J:ture and e:z:tremal properties of bundle shifts. dimension and Farrell cohomology. distributions. ~daurrazaga, Julio, Biquotients of com- Kazez, William Hila!, On equivalence of Subramanian, Ganesan, On amenability pact Lie groups and their curvature. branched coverings and their action on of semigroup of probability measures on topological groups. University of Rochester homology. {7;3,3,0,0,0,0,1) Key, Eric Stephen, Recurrence and SUNY at Binghamton MATHEMATICS transience criteria and a limit law for {2;1,1,0,0,0,0,0) random tDalk in a random environment. Astheimer, Jeffrey, Holomorphy in MATHEMATICAL SCIENCES abstract harmonic analysis. Scowcroft, Philip Henry, The real algebraic structure of Scott's model of Dimovski, Donoo, Non-simply connected Cowles, Jonathan, Energy localization intuitionistic analysis. Casson handles. for Schrodinger operators derived from Menton, Ronald Glen, A population quadratic forms. OPERATIONS RESEARCH model for calibration. Dotto, Oclide Jose, Dilations and stochas AND INDUSTRIAL ENGINEERING tic processes. Alten, Susan Ellen, An analysis of a multi SUNY at BufFalo Wathen, Judith, On the loops of a certain location, indentured inventory B!lstem {5;3,1,0,0,1,0,0) family of very nice spaces. for repairable items under nonstationary MATHEMATICS demand. STATISTICS Abdullah, Saleh, On solvability and entire Gheva, David, Biplot appru.timate display Chang, Gerard, K-domination and graph ellipticity of convolution equations in the covering problems. of contingency table analysis. space of Beurling's distributions. Huang, Wei-Min, Mandelbaum, Avishai, Linear estimation Parameter estimation EI-Henawy, Ibrahim, Multiple steady when there are nuisance functions. of the mean of a Gaussian distribution on states of buoyancy induced flow in cold a Hilbert space. Mathiason, David J., Large sample water and their stability. procedures in the presence of nuisance Marcotte, Odile, Topics in combinatorial Hemasinha, Rohan, 1: The symmetric parameters. packing and covering. tensor algebra of a Banach space. IT: Tenga, Robert, Testing goodness-of-fit to Probability measures on Bergman space. NORTH CAROLINA restricted families of distributions with Marzuq, Maher, Properties of functions complete and censored data. Duke University on bounded star-shaped circular domains {1;1,0,0,0,0,0,0) New York University, inCN(N> 1). MATHEMATICS Courant Inatitute STATISTICS {14;8,0,0,0,6,0,0) Prussner, Laird Drew, Rigidity of sta Bristol, David Ray, Some selection tionary subrnanifolds of spheres: two MATHEMATICS procedures for comparison with a standard ezamples. Bourgeade, Antoine, An analysis of three or a control. dimensional compressors. North Carolina State University, SUNY at Stony Brook Chern, 1-Liang, On the perturbation of Raleigh {17;9,2,0,5,0,0,1) {10;2,4,0,2,0,0,2) a strong wave of 81/Stems of hyperbolic conservation laws in one space dimension. APPLIED MATHEMATICS AND MATHEMATICS Dee, Dick, Computational aspects of STATISTICS Holladay, Philip Michael, Unitary adaptive filtering and applications to Chen, Kim-Joan, Estimation of param matrices, matria: equations, and partial numerical weather prediction. eters in underdetermined 81/Stems. orderings.

742 Lyons, David Michael, A moving bound Kempthome, Wanda Joan, The analysis Kent State University ary problem modelling diffusion with non of clustered attribute data from nested (3;3,0,0,0,0,0,0) liflear absorption. and/or classification designs wing ran dom effects models. MATHEMATICAL SCIENCES OPERATIONS RESEARCH Knuckles, Bettie N., Strategies for Atwa, Mahmoud, Core jiliflg sequence Louis, Algorithms for Dodd, Steven investigating health outeome patterns and transformations. shape-preseroing bivariate interpolation an eztension of Mantel's generalized and shape-preseroing apJII'(nlimation in Stanek, Gary L., Studies in the iterated regression approach: Application to logarithm law for nonstationary processes the plane. homicide and suicide data. On the time and applications. Dodin, Bajis M, completion Kovar, Mary Grace, A methodological of stochastic PERT networks. Wilson, David Lynn, Slidings in handle study of factors OBBociated with whether bodies. STATISTICS children receive adequate medical care. Aguirre-Torres, Victor Manuel- McCanless, Imogene, Analysia of Ohio State University Armando, Testing nonnested multi covariance by matching for the K sample (11;5,4,0,0,0,0,2) wriate nonlinear regression models with problem. and without specification of the error Mendoza, Ophelia, Taylor series MATHEMATICS distribution. wriance estimation for selected indirect Bonan, Stanford, Weighted mean conver Cantrell, Rayford Stephen, Utilimtion, demographic estimators. gence of Lagrange interpolation. income and health: An economic analysis Robinson, Rhonda, The error-in-variables Carothers, Neal, Symmetric structureB in of U. S. urban-rural mortality rates. problem in the logistic regreBsion model. Lorentz spaces. Dix, Lynn Dana Palmer, Minimum norm Sollecito, Bill, The time reversed croBBover Costello, Patrick, Classification and con quadratic wriance-covariance estimation design in health services research. struction of positille definite integral quad in a general multiwriate om-way random Steinberg, Seth Michael, Confidence ratic forms over Z and Z((1 + v'S) /2]. model. UBiflg intervals for functions of quantiles D'Mello, Joseph, Class groups of Dohse, Lothar Albrecht, A diacrete model of order statiatics. z,_ linear combinations eztensions and solvable automorphiam simulating the interficld movement of a MATHEMATICS groups of algebraic function fields. multihost phytophagous beetle. Dhananjay, On counting points in Lieth, Johann Heinrich, Light intercep Gordon, Gary Peter, Representations of Hajela, tion, grOVIth dynamics and dry matter matroids over prime fields. hypercubes, additive sequences and A(p) partitioning in a phytotron-grown map Kossowski, Marek, Local differential sets. bean (Phaseolua wlgaria L.) crop: A geometry of trafiBIJerse metric sin Mahoney, Carolyn Ray, On unimadality modeling analysia with reference to air gularities. of the independent set numbers of a class pollution effects. McMahon, Elizabeth W., Separable e:v of matroids. Lope1-Alvarem, Maria Teresa Concep tensions of noncommutatille rings. Shih, Ching-Hsien, On graphic subspaces cion, Synthetic estimation when ~y Patterson, Samuel Eugene, SL-stable of graphic spaces. partial symptomatic information ill awil limit set e:r;plosions. able. Umble, Ronald, A computer OBsiated STATISTICS study of meta-stable primitivity in finite Mishra, Satya Narayan, Selection of Univenity of North Carolina, H-towers. eztreme populations. Chapel Bill Stefansson, Gunnar, Multiple com (24;5,19,0,0,0,0,0) OHIO pariaons under order restrictions. BIOSTATISTICS Taneja, Baldeo, Ranking and selection in Bowling Green State University Amara, Ingrid, Strategies for multivariate designed e:r;periments. (2;1,1,0,0,0,0,0) l"lll'lllornUat analyses and applications Yousry, Iman Abdalla, On a class to health scicnceB data. MATHEMATICS AND STATISTICS of generalized distributions with applica Boyd, Michael Neal, UI-IMP rank tests Javier, Walfredo R., On the distributions tions. against restricted alternatives. of certain random matric wriates and Brooks, Camilla Anita, A probabilistic their functions. Ohio Uuivenity survey error model with double sampling Myers, Gary Thomas, Upper bound (1;1,0,0,0,0,0,0) to correct for I'IOI'Iresponse. graphs of partially ordered sets. MATHEMATICS Christian~~en, David H., Algorithms for the generation of design and definitional Case Weatem Reserve University Ruth, Rickey Eugene, Complete E-spaces matrices in linear models for croued (7;0,2,0,5,0,0,0) and 9-space. factor designs. BIOMETRY Connor, Michael John, The implications University of Cineiunati Helmuth, Dennis, A general order Markov (3;1,2,0,0,0,0,0) of ecological inference on parameter chain model/or the progreBBion of chronic estimateB in health services research. diaeOBe. EPIDEMIOLOGY AND BIOSTATISTICS Dat, Nguyen, Tests for time-space cluster McLaren, Christine Ellen Owens, Statia ing of diaeOBe. Dietrich, Kathleen Karpenter, Shelf life tical analysia of red blood cell volume estimation from nonaccelerated data. Feeney, Gregory, E:r:treme value theory for diatributions. non-stationary sequences with application MATHEMATICAL SCIENCES to air pollution standards. OPERATIONS RESEARCH walks Feuer, Eric J., Linear and long-linear Boukaabar, Boudjelal, A multi-item Ceritto, Patricia A. B., Random models of population heterogeneity for multi-component two-echelon model for and measures on topological groups and Markov chains. rewable items in a health care setting. semigroups. Gaynor, Jetfrey, A framework that incor Chitariance, Sedrak, A long-range plan Heeg, Richard A., Jord.o.n automorphiams porates repeated meOBurements into the ning model for branch bank development. on semiprime ratings. Lee, Chung Ung, Principles for evaluating hazard. Uuivenity of Toledo for concordant and selection of alternative B!Jstems. Ingram, Deborah, A test (1;0,0,0,0,1,0,0) nonrandom patterns among series with Paparrizos, Konstantinos, Monotonic epidemiologic applications. algorithms for the linear complementarity MATHEMATICS problem. Johnson, Robert E., A compariaon Bick, Richard Yee, Continuow al Prasert, Functional approzima of error probabilities for two standard Shusang, phabet channels: The p-topology, p-finite in unbalanced two tion approach to multistate control prob analyses of variance memory and block coding. way designs. lems.

743 OKLAHOMA STATISTICS Ellison, John H., AnalysiB of finite Buhite, Sally Greenberg, A deciBion difference diBcretizations of Na!Jier-Stokes Oklahoma State UDivenity theoretic approach to optimal selection problems on mapped domains. (3;0,3,0,0,0,0,0) from a candidate pool. Kent, Steven L., Yang-Mills theory in null path space. STATISTICS Chmelynski, Harry James, A new multi variate e"or structure for multiple regres Krishna, Kottekai, Commutativity of Abdullah, Mat Yusoft', Bayesian in differentiation and diBcretization with ferences with the poly-t diBtribution. sion based on a Bayesian analysiB of the gamma process. special reference to finite element and Al-Mahmeed, Mohammad Abdulhadi, finite difference diBcretizations. The analysiB of autoregreml/e processes: Fung, Kon, Criterion functions for regres sor selection. Nguyen, True T., Positive dependence of The identification and the prior, posterior, the bivariate diBcrete diBtributions. and predietive analysiB. Drexel University Saigol, Shakeel Ahmed, Point-countable Chou, Wen-Shen, Seleding the best (1;0,0,0,0,1,0,0) k-netwof'ks and k1 -spaces. treatment through likelihoods. MATHEMATICAL SCIENCES Weissfeld, Lisa Anderson, Bounds on University of Oklahoma efficiencies of commonly used non Soyka, Michael George, Computer-aided parametric statistics. (2;2,0,0,0,0,0,0) applications of non-Markollian macro MATHEMATICS simulation models to the study of human RHODE ISLAND Anderson, Stuart Neal, A study populations. of generalized absolute neighborhood Lehigh University Brown UDivenity retracts. (1;1,0,0,0,0,0,0) (12;8,2,0,0,1,0,1) Walker, Anita M. Ransdell, Generalized APPLIED MATHEMATICS iterative methods and nonlinear functional MATHEMATICS equations. Shiskowski, Kenneth Michael, Euler Erdal, Aytul, Cross validation for Poincare charactemtic and higher order ridge regression and principle component OREGON sectional curvature. analysis. Laprade, Robert, Stochastic control Oregon State University Pennsylvania State University methods applied to eigenvalue problems. (9;4,3,0,0,2,0,0) (2;2,0,0,0,0,0,0) Levine, Daniel C., Multidimensional scal MATHEMATICS ing with diBsimilarity as a nonmonotone MATHEMATics function of diBtance. Bashir, Mohammed Ali, Zero-reslrmass Almeida, Jorge Manuel Menesses Guimaraes, Some algorithms related to Murphy, Katherine, A spline-based ap fields from the formula of the volume of a prozimation method for inverse problems tube in complez projective three-space. the star operation applied to finite and rational languages. for a hyperbolie system including unlcnown Gerlach, Jiirgen, A free boundary value boundary parameters. problem for the gas dynamie equations. Sunderland, Benjamin Bruee Jr., Generalized totient functions in two vari Nagurney, Anna, Stability, sensitivity, Mohamed, Fouad, Nonlinear free bound ables. analysis, and computation of competitive ary problems aming from soil freezing in network equilibria. a bounded region. University of Pennsylvania Nascimento, Arnaldo, Dynamies in a Ojha, Murari Prasad, Smooth approzima (1;0,1,0,0,0,0,0) parabolic equation. tions and QuefTIIGB8integrals. STATISTICS Shatah, Jalal, Stability properties of steady Scarborough, Stephen Douglas, A mo state and standing wave solutions of ment rate charactei'Uation for stochastic Shoemaker, Anne Clarke, Effects of nonlinear wave equations. integrals. miBspecification of the linlc function in Stead, Sarah, Smooth multistate multi Treuden, Mieheal L., Asymptotically models for binomial data. variate approzimation. compact operator approzimation theory. University of Pittsburgh MATHEMATICS (14;3,2,0,0,1,0,8) STATISTICS Keem, Changho, A remark on the variety Gray, Robert J., Goodness-of-fit tests for BIOSTATISTICS of special linear systems on an algebraic censored survival data. Barton, Bruee Alan, The assessment of curve. Thomas, Dana L., Confidence bands for the growth rate of human breast tumors. Khavinson, Dmitry S., On a geometrie percentiles in the linear regression model. Guo, Shu-Mei, Some new mathematical approach to problems concerning Cauchy Wildman, Valerie Jean, A new estimator models of ezposure to a carcinogen in the integrala and rational approzimation. of effective area surveyed in wildlife multistage theory with applieation to an Migliore, Juan Carlos, Topics in the studies. epidemiologic study. theory of liai8on of space curves. University of Oregon Lee, Seung Wok, An investigation of Vuonen, Kari, Intersection homology D (1;1,0,0,0,0,0,0) dependence of latent periods on dose module on hypersurfaces with iBolated levels in occupation-related lung cancer. singularities. MATHEMATICS Seth, Anand K., StatiBtical analysiB of Bahrampour, Yousef, SubtrafiB!Iersality. incomplete data on weight of cleft palate SOUTH CAROLINA children. PENNSYLVANIA Sieber, William Karl, StatiBtical evalua- Clemson Univenity tion of prehospital emergency medical (3;1,1,0,1,0,0,0) Carnegie-Mellon University care. MATHEMATICAL SCIENCES (6;0,3,0,1,2,0,0) MATHEMATICS AND STATISTICS Gray, Jerry Brian, The detection and MATHEMATICS Cha, Anna En-Tzu, AnalysiB of assessment of influence in regression Hsieh, Y'mg-Hen, Demographie predietion Krzhillitski and Ladyzhenskaya diBcretiza analysis. under IJGrying llital stamtics. tion of the stationary Navier-Stokes equa Minton, Roland Bertram, An operator Polak, George Gregory, Multihour multi tions. approach to linear-quadratic stochastic commodity design B!/flthesi8 under queue Currie, Melvin R., A metric charac control theory. ing demand for flows. terization of the i"ationals Ilia a group. Rudisill, John Franklin, A simulation Trutzer, Vietor, EziBtence and asymptotic operation. model for evaluating the performance stability for solutions to stochastic DeSilva, Santhushta, Non-linear super and cost effectiveness of a residential hereditary equations. position of gravitational plane waves. photovoltaic energy system.

744 University of South Carolina Hahn, Suk-ki, A Bayesian approach, using Little, Frank F., Convex combination (3;0,0,0,0,1,0,2) a two-stage priori, to the symmetric surfaces. multiple comparison problem. Sindler, Frank, Nonlinear second order MATHEMATICS AND STATISTICS elliptic and parabolic systems with upper Austria, Nieves McNulty, QuMi-Newton Texas A & M University and lower solutions. (3;0,3,0,0,0,0,0) methods using L U-updates. Stone, William Dean, Systems of Blitch, Patricia M., Domination in STATISTICS differential-delay equations weakly coupled graphs. by diffusion. Ball, Gerald ClMsification Monroe, Ted R., Point unstable and Dannie, bMed on dichotomous and almost point unstable graphs. continuous variables: Krzanowski's procedure. VIRGINIA TENNESSEE Lam, Frederic Che-Yuen, Nonparametric University of VIrginia tests for homogeneity of the marginal (11;5,0,4,0,1,0,1) Memphis State University distributions of paired data. (1;1,0,0,0,0,0,0) Woodfield, Terry Joe, Statistical modeling APPLIED MATHEMATICS of bivariate data. AND COMPUTER SCIENCE MATHEMATICAL SCIENCES Adams, Loyce Mae, Iterative algorithms Lomnis, Irene Hejzler, Isometries of University of Houston for large sparse linear systems on parallel Banach spaces. (3;1,0,0,0,1,0,1) computers. French, James Cornelius, An investiga University of Tennessee MATHEMATICS tion of IDAM file organizations. (2;0,0,0,0,2,0,0) Jones, Kathryn Lois Fraughnaugh, In dependence in graphs with maximum Furtney, Mark, Kernel-control optimiza MATHEMATICS degree four. tion of sequential code for uni- and multi-processor systems. Antonios, Medhat Naquib, Input-output Suen, Ching-Yun, Representation theory analysis of mathematical models of ecosys of completely bounded maps on C*-alge Hartley, Stephen Judd, Improving the tems. brM. performance of programs in virtual memory systems. Harrod, William Joseph, Rank modifi Vu, Phuong Anh, Inacurracy in leMt cation method for certain singular systems change secant update methods. Mehrotra, Piyush, Parallel computations of linear equations. on large arrays. University of Texas, Arlington MATHEMATICS Vanderbilt University (3;2,0,1,0,0,0,0) (3;3,0,0,0,0,0,0) Frech, Bruce H., Ultrasemifree actions MATHEMATICS and bordism. MATHEMATICS Countryman, William Mark, Computa Grosvenor, John Ralph, Invariant means Cyphert, Daniel Scott, Generalized func tion of periodic solutions of forced non on Lie groups and their discrete sub tions of bounded variation and their linear hyperbolic problems. groups. application to the theory of harmonic Hopkins, Nora Carol, Some results on the functions. Du, Sen-Wo, Contribution to global problems of some nonlineardijjerential classification of triple systerT'.s. Iskra, Joseph Aloysius, Globals of Jr., equations. Kirkwood, James R., StochMtic in semigroups. Vargas, Cristobal, A discrete model for equalities and phase transitions for Lee, Jeh Gwon, Almost distributive lattice the recovery of oil from a reservoir. Markov semigroups. varieties. Nolan, John P ., Local nondeterminism University of Texas, Austin and local times for stable processes, TEXAS (4;3,0,0,1,0,0,0) Vella, David Charles, Parabolic subgroups Rice University MATHEMATICS of algebraic groups and induction. (6;2,1,2,0,1,0,0) Fonken, David William, A simple version VIrginia Polytechnic Institute MATHEMATICAL SCIENCES of the Malliavin calculus with applications and State University to the filtering equation. (10;5,3,0,0,2,0,0) Allen, John Randal, Dependence analysis Katz, Daniel Lane, Asympototic primes for subscripted variables and its applica MATHEMATICS and applications. tion to program transformations. Blum, Dorothee Circularity Lovegren, Victoria Marie, Informatics, Jane, of Cooper, Keith Daniel, Interprocedural graphs. analysis, and solution of a elMs of data flow analysis in a programming constrained integer network problems. Chen, Jih-Hsiang, Gauss-type formulas environment. for positive linear functionals. Marivani, Syrous, Inequalities for charac Hathaway, Richard Joseph, Constrained ter sums. Hao, Hsin-Seng Fred, The Fermat equa maximum-likelihood estimation for a miz tion over quadratic fields. ture of m univariate normal distributions. University of Texas, Dallas Marciniak, Zbigniew, Idempotents in MATHEMATICS (2;0,2,0,0,0,0,0) group rings. Miller, Thomas Len, Functions of sub Palmer, Owen James, Error estimates MATHEMATICAL SCIENCES normal operators. for finite element methods applied to Jennings, Linda Wulf, Discrimination contaminant transport equations. Torgrimson, Mark Thomas, Asymptotic between Gaussian time series. stochastic analysis of a gravity Orosz, Luiz Pedro, Characterizing semi model for Peck, Roger Wayne, Confidence bounds internal navigation systems. simple Lie groups by certain finite sub for the number of clusters in cluster groups. Yamasaki, Masayuki, Surgery groups of analysis. crystallographic groups. Yasinovskaya, Victoria, Cauchy problem for nonlinear hyperbolic STATISTICS systems of PDE's. UTAH Southern Methodist University Chang, Cheng-Tao, On the construction (2;0,2,0,0,0,0,0) University of Utah of balanced and partially balanced factorial (4;2,0,1,0,1,0,0) experiments. STATISTICS Marcucci, Mark 0., On monitoring the Conerly, Michael David, A comparison MATHEMATICS attributes of a process. of three variance component estimators Collingwood, David H., Harish-Chandra Tripp, Robert, Nonstochastic ridge regres using symmetric balanced incomplete modules with the unique embedding sion and defective rank of the regressor's block designs. property. matriz.

745 WASHINGTON University of Wisconsin, Milwaukee Broughton, Sean Allen, On the topology (1;1,0,0,0,0,0,0) of polynomial hypersurfaces. Burnett, Richard Thomas, The piecewise Ullivenity of Wa1hington MATHEMATICAL SCIENCES (7;4,1,0,0,0,0,2) proportional hazards modeL Schmitz, Michael Bruce, A metric MATHEMATICS property concerning function theoretic Universite de Montrial Boyle, MeBlaine Michael, Topological null sets. (9;7,2,0,0,0,0,0) orbit equivalence and factor fll4ps in MATHEMATIQUES ET STATISTIQUE WYOMING symbolic dynamics. Baddou, Jamal Addin, Sur Ia theorie du Infinitely Chen, Yenn-Kunn Oliver, of Wyoming repere mobile suivant Elie Carton. divisible probability measures on locally University (5;0,5,0,0,0,0,0) Ducharme, Gilles R., La collapsibilitl de compact Abelian groups. tableaw: de contingence. Filher, Albert M., Gurevich flows of the STATISTICS Dufour, Robert, Tests d'ajustement pour same entropy are finitarily isomorphic. Abdullah, Shalal H., The detection and des ichantillons tronquis ou censures. Manber, Rachel, Graph theoretic approach testing of partial multivariate outliers. Frappier, Clement, Quelques problemes to sign-solvability of linear systems. Al-Atheri, Faris, Inferences about the ezt:rlmau:r: pour les polyn8mes et les Shelton, Brad Scot, Algebraic construc location parameters of the arc sine and fonctions entieres de type ezponentiel. tions of principal series and generalized the parabolic distributions. Horvath, Charles, Points fo:es et coin principal series representations for a real Edgeman, Rick L., Optimal and quasi cidences sans conve:rite. semisimple Lie group. optimal sequences of decisions for Labrech.e, Martine, De l'appro:rimation Sigurdsson, Gunnar, Prime ideals in cooperative nested multistage games. hormonique uniforme. dijJerential operator rings. Ogbi, Mohamed, A study of joint Lalonde, Fran~is, Homologie de Shih for ocean wave properties. STATISTICS probabilities et applications au probleme de Cauchy Shl, Mei Pin, Determination of the globaL Percival, Donald Bame, The statistics of ocean wave directional spectrum from Oudadess, Mohamed, Caracteres et long memory processes. ship motion time series. formes positives dans des algebres State University topologiques ou bornologiques. Washington CANADA (3;2,0,0,0,1,0,0) Todor, Fabian, La regie du trapeze pour l'intlgrale de Riemann-Stielt;ies. Les MATHEMATICS Carleton Univenity problemes de l 'inversion d 'une regie du (3;3,0,0,0,0,0,0) Dearden, Bruce G., Quasi-mWtipliers of trapeze. Pedersen's ideal of a C*-algebra. MATHEMATICS AND STATISTICS University of British Columbia Sriranganathan, Rukmini, A theoretical Estrada Navas, Luis, On self-injective (3;2,1,0,0,0,0,0) invemgation of cellular structure during algebras of finite representation type. the solidification of a dilute binary alloy. Nassrallah, Bassam G., Some quadratic MATHEMATICS Wie&t, Mary Ann, Collineation groups of transforfiUJtions and projection formulas Genest, Christian, Towards a consensus translation planes. for basic hypergeometric series. of opinion. Roldan, Oscar E. S., Tilted algebras of Gentle, Ronald, A study of the sequence WISCONSIN type A,., :0.., Cn and BCn. category. Verster, Jan Frans, Formality and finite University of Wisconsin, Madi10n Dalhousie University (3;2,0,0,0,1,0,0) ambiguity. (12;12,0,0,0,0,0,0) MATHEMATICS, STATISTICS AND University of Calgary MATHEMATICS COMPUTING SCIENCE (1;0,0,0,0,1,0,0) Biagioli, Anthony John, Products of Abdalkhani, Javad, Collocation and MATHEMATICS AND STATISTICS transforms of the Dedekiful eta function. Runge-Kutta-type methods for Volterra Sezgin, Miinevver, Some mi:J:ed boundary Bickford, Mark, The jump operator in integral equations with weakly singular value problems in magnetohydrodynamics. strong reducibilities. kernels. Flapan, Erica Leigh, Non-periodic knots Khoshkam, Mahmood, Perturbations of University of Manitoba and homology spheres. operator algebras. (2;0,2,0,0,0,0,0) Gethner, Robert M., A Polya "shire» Mingo, James A., K-theory and multipliers STATISTICS theorem for entire functions. of stable C*-algebras. Hanson, Bruce Howard, The zero dis Amoh, Raymond Kwabena, Classifi tribution of holomorphic functions on the McGill University cation procedures associated with the unit disc. (5;4,0,0,0,1,0,0) inverse Gaussian distribution. Johnson, Daniel Peter, Diffu.sion ap MATHEMATICS Weiss, Giinter Max Theodor, A large deviation study of consistent estima prozimations for optimal filtering of jump Cheng, Koun-Ping, The holonomy group processes and for queueing networks. tion of a translation invariant location and the differential geometry fibred parameter. Kim, Hong Oh, Derivatives of inner Riemannian spaces. functions. Collins, David Albert Charles, A numeri University of Toronto Mills, Charles Frederick, Supercompact cal study of the stability of a stratified (1;0,0,0,1,0,0,0) spaces and related structures. mia:ing layer. INDUSTRIAL ENGINEERING Slattery, Michael Charles, 1r-blocks of Eigen, Stanley, Groups of measurable and 1r-separable groups. measure-preserving transformations. Rao, Badeti Madhusudan, On the Soares, Eliana F. E., Big primes and Mair, Bernard, Fine and parabolic limits. analysis of dependent parallel exponential queues. character values for solvable groups. Meyer, Carol Vincent, Composition of Souganidis, Panagiotis E., Appro:rima categories under certain limits. University of Waterloo tion schemes with applications for the vis (9;2,1,0,0,1,0,5) cosity solution of Hamilton-Jacobi equa Queen's University tions. (3;1,1,0,0,1,0,0) APPLIED MATHEMATICS Stanton, Charles Stuart, Riesz mass MATHEMATICS AND STATISTICS Al-Zanaidi, Mansour Abdullah, Water and growth problems for subharmonic Barry, Brian M., The minimum stress wave generation and attenuation by functions. problem for nonlinear hybrid train models. wind-A numerical study.

746 COMBINATORICS AND OPTIMIZATION STATISTICS Doctoral Degrees Fukuda, Komei, Oriented matroid pro Desmond, Francis Anthony, Local rnaz.. gramming. ima of stationary stochastic processes and Conferred 1981-1982 Korach, Ephraim, On dual integrality, stochastic modelling of fatigue. min-maa: equalities and algorithms in combinatorial linear programmes. University of Westem Ontario Supplementary List (2;1,0,0,0,1,0,0) Locke, Stephen Charles, Eztremal The following entry supplements the properties of path.a, cycles and K APPLIED MATHEMATICS list of thesis titles published in the colourable subgraphs of graphs. Wilkinson, Steven Ray, Boundary layer November 1982 Notices, pages 639-653, Mandel, Arnaldo, Topology of oriented flow in streamwise concave corners. and in the April1983 Notices, page 359. matroids. Roy, Bimal Kumar, On isomorphic MATHEMATICS WISCONSIN subgraphs halling minimum intersection. Sayre, John Edward, Generalized Hausdorff matrices with applications to University of Wiswnllin, Madison PURE MATHEMATICS strong and absolute summability. (1;1,0,0,0,0,0,0) Amer, Khaled, Commutative monoids with monus. University of Wmdsor MATHEMATICS Ralph, William James, Variants of the (1;0,1,0,0,0,0,0) Kosciuk, Steven A., Non-standard singular complex and their connections MATHEMATICS stochastic methods in diffusion theory. with Banach algebras, Cech cohomology and co-products. Srivenkataramana, Talapady, Contribu- tion to sampling theory and practice using auziliary information.

CONTEMPORARY MATHEMATICS

S. Y. Husseini, Zeros of equivar/ont 53-maps james P. Lin, Some theorems about the mod 2 coho mology of a finite H-spoce Arunas Liulevicius, Finite G sets and Hopf algebras of representation rings Emilio Lluis-Puebla, On K3 of the dual numbers Symposium on Algebraic Topology W. S. Massey, A generalization of the Alexander dual in Honor of Jose Adem ity theorem Samuel Gitler, Editor j. P. May, Equlvarlont homotopy and cohomology theory CONTENTS R. james Milgram, A survey of the compact space Samuel Gitler, jose Adem's contribution to algebraic form problem topology Luis Montejano, (}-homotopy equivalences j. F. Adams, Groeme Segal's Burnside ring conjecture jack Morava, Cohomology of some Improper group Enrique Antoniano, Sections for bundles over projec actions tive spaces S. de Neymet de Christ and F. Gonzalez A., A general- Luis Astey, An Integrality theorem forK-theory ization of Fox's spread completion Chern classes F. P. Peterson, Self mops of/oop spaces of spheres jose L. Arraut and Duane Randall, Index of tangent D. Ravenel, Morova K-theorles and finite groups fields on compact manifolds jose A. Seade, Invariant framings of quotients of M. G. Barratt and W. R. Miller, On the ant/automor SL 2 (R) by discrete subgroups phism of the Steenrod algebra Victor Snaith and j orgen Torne have, On n~ (80) Charles Boyer, On the structure of superman/folds and the Arf invariant of framed manifolds Javier Bracho, Strong classification of Haef/lger struc E. Spanier, Cohomology isomorphisms tures Oscar Valdivia G., S-productos vector/ales: Teorio alge Edgar H. Brown, Smooth n-man/folds immerse in bra/a y topologlca R2n-a.(n) Alberto Verjovsky, Cobordlsm of three dimensional F. R. Cohen and M. E. Mahowald, Unstable properties spheres ofnnsn+k Stephen Wilson, Towards BP *X Donald M. Davis, On the cohomology of M0(8) A. Zabrodsky, Homotopy actions of nilpotent groups Albrecht Dold, Fixed point theory and homotopy 7980 Mathematics Subject Classifications: 55-06, 57 Rxx theory Contemporary Mathematics Mauricio Gutierrez, On crossed modules Volume 12, xiv + 357 pages (soft cover) A. Haefliger and K. Sithanantan, A proof that Brf is List price $23, institutional member $17, individual member $12 2-connected ISBN 0-8218-5010-5; LC 82-13812 j. H. V. Hunt, Branched coverings as uniform comple Publication date: September 1982 tions of unbranched coverings To order, please specify CONMI12N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

747 Educating Americans for the 21st Century: A plan of action for improving mathematics, science and technology education for all American elementary and secondary students so that their achievement is the best in the world by 1995

Executive Summary •By 1995, the Nation must provide, for all its youth, a level of mathematics, science and technology The Nation that dramatically and boldly led the education that is the finest in the world, without world into the age of technology is failing to provide sacrificing the American birthright of personal choice, its own children with the intellectual tools needed for equity and opportunity. the 21st century. This goal can be achieved. The best American We continue to lead because our best students are students are the equal of any in the world. Indeed, still unsurpassed. We continue to lead because our the best schools in the world emulate the best of universities, industries, resources and affiuence attract America. We have the know-how. the finest talent from throughout the world. But this The Commission proposes sweeping and drastic is a precarious advantage. The world is changing fast. change: in the breadth of student participation, Technological know-how is spreading throughout the in our methods and quality of teaching, in the world-along with the knowledge that such skills preparation and motivation of our children, in and sophistication are the basic capital of tomorrow's the content of our courses, and in our standards society. of achievement. We propose to initiate this Already the quality of our manufactured products, difficult change through a strategy of (1) building a the viability of our trade, our leadership in research strong and lasting national commitment to quality and development, and our standards of living are mathematics, science and technology education for strongly challenged. Our children could be stragglers all students; (2) providing earlier and increased in a world of technology. We must not let this exposure to these fields; (3) providing a system for happen; America must not become an industrial measuring student achievement and participation; dinosaur. We must not provide our children a 1960s (4) retraining current teachers, retaining excellent education for a 21st century world. teachers and attracting new teachers of the highest We must return to basics, but the "basics" of quality and the strongest commitment; (5) improving the 21st century are not only reading, writing, the quality and usefulness of the courses that and arithmetic. They include communication and are taught; (6) establishing exemplary programs higher problem-solving skills, and scientific and landmarks of excellence-in every community to technological literacy-the thinking tools that allow foster a new standard of academic excellence; (7) us to understand the technological world around us. utilizing all available resources, including the new These new basics are needed by all students information technologies and informal education; and not only tomorrow's scientists-not only the talented (8) establishing a procedure to determine the costs of and fortunate-not only the few for whom excellence required improvements and how to pay for them. is a social and economic tradition. All students In this Report we emphasize the teaching and need a firm grounding in mathematics, science and learning of mathematics, science and technology technology. What follows is a difficult and demanding in elementary and secondary schools; that the plan to achieve this, but it must be accomplished. Commission's charge. We recognize, however, that Our children are the most important asset of our this area cannot be separated from the teaching and country; they deserve at least the heritage that was learning of many other important subjects, such as passed on to us. English, foreign languages and history. We hope that EDITOR's NOTE. The report Educating Americans glaring deficiencies in these other areas will be met for the Twenty-first Century . . . is excerpted here with the same sense of urgency. as a companion to the report A Nation at Risk Leadership which was reprinted in the October issue of the Notices. The present report was prepared Reaching a new standard of academic excellence by the National Science Board Commission on by 1995 requires clear educational objectives, strong Precollege Education in Mathematics, Science and leadership and firm commitment at all levels. Goals Technology, and is described as a report to the must be set and progress toward those goals American People and the National Science Board. assessed. We must recognize the necessary investment, Names of the members of the commission will be assess the cost, and accept the responsibility for found on the facing page. The parts included participation at Federal, state and local levels, in here are the "Executive Summary" and the list both the public and private sectors. We call upon our of recommendations. Readers interested in the national leaders to begin and maintain the process. copmplete report are referred to the National • The President should immediately appoint a Science Foundation for information on obtaining National Education Council, reporting directly to copies. him, to identify national educational goals, to recommend and-monitor the plan of action, to ensure

748 that participation and progress are measured, and • Considerably more time should be devoted to to report regularly to the American people on the mathematics, science and technology throughout the standards and achievements of their schools. elementary and secondary grades. This will require • The States should establish Governors' Councils that the school day, week and/or year be substantially to stimulate change, develop state educational goals, lengthened. and monitor progress. Models for Change • Local school boards should foster partnerships The potential of exemplary or model programs has with business, government and academia to en been demonstrated in cities and localities throughout courage, aid and support in solving the academic and the country. Typically, they exhibit high achievement financial problems of their schools. from students of every background, have strong links • The Federal government should finance and to local resources, and set an example that should maintain a national mechanism for measuring student be emulated and replicated in every school. As a achievement and participation in a manner that allows first step toward change we recommend that such national, state and local evaluation and comparison landmarks of excellence for mathematics, science of educational progress. and technology education be established in every Foeus on All Students community. This Commission's plan is not only for the affiuent • The Federal government should encourage and or gifted. While it provides the quality and intensity finance, in part, the establishment of exemplary of education needed to continue their development, programs in mathematics, science and technology in it also addresses the needs and potential of all other every community, which would serve as examples and students. It recognizes that substantial portions of our catalysts for upgrading all schools. population still suffer from the consequences of racial, • State governments should promote and local social and economic discrimination, compounded by school districts should establish such programs as a watered standards, "social promotion," poor guidance major strategy toward upgrading all schools. and token efforts. The Commission has found that We recommend that initially 1,000 such secondary virtually every child can develop an understanding of schools and 1,000 such elementary schools be mathematics, science and technology if appropriately established throughout the country. The Commission and skillfully introduced at the elementary, middle estimates the cost to the Federal government to do so and secondary levels. is $829 million disbursed at the rate of $276 million • The Nation should reaffirm its commitment per year over a three-year period. to full opportunity and full achievement by all. Solutions to the Teaehing Dilemma Discrimination, and the lingering effects thereof, due Ultimately, quality begins in the classroom; the to race, gender and other such irrelevant factors teacher is the key. Unfortunately, we currently have must be eradicated completely from the American severe shortages of qualified mathematics, science educational system. ''Excellence and elitism are not and technology teachers throughout the Nation, and synonomous." many of today's teachers in these fields badly need Quality Teaehing retraining. and Earlier and Inereased Exposure Many of the teachers in elementary schools are Here and in other countries, programs that not qualified to teach mathematics and science for produce excellence and high achievement have similar even 30 minutes a day. A significant fraction of our characteristics. Education in mathematics, science and technology begins early, is taught by qualified, Members of the NSB Commission committed teachers, and provides a consistent course on Precollege Edueation in Mathematies, of study, beginning before elementary school and Science and Teehnology continuing in a coherent pattern through high school. This "vertical" curriculum emphasizes early The members of the NSB Commission on Precol "hands-on" experience, disciplined and rigorous lege Education in Mathematics, Science and Tech study, and a substantial amount of time-on-task and nology are WILLIAM T. COLEMAN, JR., O'Melveny homework at all levels. Above all, it includes strong and Myers; CECILY CANNAN SELBY, New York; motivation and commitment. Parents, students and LEW ALLEN, JR., Jet Propulsion Laboratory; VIc the system are all dedicated to high achievement TORIA BERGIN, Associate Commissioner of Educa from every student. Finally, succesful systems have tion for the State of Texas; GEORGE BURNET, skilled and well-trained teachers who are supported by JR., Iowa State University; WILLIAM H. CoSBY, skilled administrators, good facilities and specialized JR.; DANIEL J. EVANS, The Evergreen State assistance. College; PATRICIA ALBJERG GRAHAM, Harvard University; RoBERT E. LARSON, Optimization This is true of major competitors like Japan, and it Technology, Inc.; GERALD D. LAUBACH, Pfizer is true of America's scattered but equally impressive Inc.; KATHERINE P. LAYTON, Beverly Hills High model programs. Unfortunately, it is not true of most School; RuTH B. LovE, The Chicago Board· of of our schools. Education; ARTURO MADRID IT, University of Min • Top priority must be placed on retraining, nesota; FREDERICK MOSTELLER, Harvard Univer obtaining and retaining teachers of high quality in sity; M. JoAN PARENT, National School Boards mathematics, science and technology, and providing Association; ROBERT W. PARRY, University of them with a work environment in which they can be Utah; BENJAMIN F. PAYTON, Tuskegee Institute; effective. JosEPH E. RowE, Gould, Inc.; HERBERT A. • Top priority must be placed on providing SIMON, Carnegie-Mellon University; and JOHN B. earlier, increased and more effective instruction in SLAUGHTER, University of Maryland, College Park. mathematics, science and technology in grades K-6.

749 TOTAL DAYS IN SCHOOL YEAR

FRANCE

UNITED STATES

ENGLAND

USSR

WEST GERMANY

JAPAN

DAYS 150 175 200 225 Note: The average length of the school day in the U.S. is 5! hours, whereas it ranges from 6 to 8 hours in the other countries. In Japan, more time is spent with after school tutoring and homework than in the U.S. 36% of Japanese high school seniors report spending more than 10 hours per week on homework contrasted with only 6% of U.S. seniors. In the U.S., 52% of seniors report spending less than 5 hours per week, in Japan only 8% of seniors report spending less than 5 hours per week. (Source: William B. Fetters, Jeffery A. Owings, Larry E. Suter and Ricky T. Takai, Schooling experiences in Japan and the U.S.: A cross-national comparison of high school students, a paper presented at the 1983 Annual Meeting of the American Educational Research Association in Montreal, Canada, 13 April1981.) Source: A challenge for American precollege education: Scientific literacy in Japan, China, the Germanies and the So'lliet Union, edited by Margarete Klein and F. James Rutherford, The Macmillan Company, New York (in press). Data on school year also provided by the Embassy of France and the British Embassy, Washington, D.C., August 1983. secondary school teachers are called upon to work in • Every State should establish at least one regional subjects for which they were never trained. Even the training and resource center where teachers can obtain most seasoned and experienced veterans must deal supporting services such as computer instruction and with subjects that are in a state of constant change; software and curriculum evaluation. no one can remain knowledgeable in science without • The National Science Foundation should provide constant refreshing. seed money to develop training programs using the technologies. • State governments should develop teacher training new information we improve the quality of and retraining programs in cooperation with colleges At the same time that we must raise our standards for new and universities. The potential of science museums current teaching, We must attract and retain superior talent, as sites for such programs should be recognized, teachers. and must provide better training, better working encouraged and supported. conditions, and better compensation for high quality • It is a Federal responsibility to assure that, in teachers, together with more demanding standards. the present crisis, appropriate retraining is available. • States should adopt rigorous certification stan In-service and summer training programs should be dards, but not standards which create artificial bars established with Federal support. The Commission to entry of qualified individuals into teaching. estimates the cost to the Federal government of • Elementary mathematics and science teachers initiatives for retraining mathematics, science and should have a strong liberal arts background, college technology teachers to be $349 million per year for training in mathematics and the biological and five years. physical sciences, a limited number of effective • For the long term, teacher training by the States education courses, and practice teaching under a should continue as an ongoing process. qualified teacher.

750 • Secondary school mathematics and science Improving What is Taught and Learned teachers should have a full major in college mathe We have too long regarded mathematics and science matics and science, a limited number of effective as the exclusive domain of a talented elite-a preserve education courses, and practice teaching under a for only the gifted. By focusing on education of the qualified teacher. well-prepared, we have both ignored and discouraged • Both elementary and secondary teachers should large numbers with potential talent and widened the be computer literate. Teacher training should gap between the sciences and the public they serve. incorporate the use of calculators and computers in There is no excuse for citizens in our technological mathematics and science instruction. society to say "I don't really know anything about • Liberal arts colleges and academic departments science!" need to assume a much greater role in training While increasing our concern for the most talented, elementary and secondary teachers. Basic education we must now also attend to the need for early courses should be revised to incorporate current and sustained stimulation and preparation of all findings in the behavioral and social sciences. students so that we do not unwittingly excude In the short run, the pool of those presently potential talent and so that we produce citizens, qualified and teaching must be enlarged. political leaders, teachers, managers, workers and • State and local school systems should draw upon other decision makers who are prepared to deal the staffs of industry, universities, the military and with the age of technology. Significant, immediate other government departments, and retired scientists progress can be made by simply increasing the to provide sources of qualified teaching assistance. amount of exposure students get to mathematics, Local systems should take actions to facilitate the science and technology-although more persistant entry and classroom training of such special teachers. change will require a more elaborate process of review and revision of educational objectives. Compensation for mathematics, science and tech nology teachers must be appropriate to their impor • Local school districts should revise their elemen tant role in "academic excellence," their small num tary school schedules to provide consistent and bers, and their alternatives for employment. Highly sustained attention to mathematics, science and qualified and competent mathematics, science and technology: a minimum of 60 minutes per day of technology teachers should receive overall rewards mathematics and 30 minutes per day of science in that are fair and relatively competitive with those grades K-6; a full year of mathematics and science in received by comparable professionals in other sectors. grades 7 and 8. Ultimately, the public will get what it pays for. At • Every State should establish rigorous standards the same time, many teachers and teacher unions for high school graduation, and local school dis will have to reexamine their views about differential tricts should provide rigorous standards for grade salaries in areas of shortage and systems of pay based promotion. We should curtail the process of social on factors other than merely years of service and promotion. credits for "staff development." •All secondary school students should be required to take at least three years of mathematics and • School systems should explore means to adjust of science and technology, including one year of compensation in order to compete for and retain high of computer science. All quality teachers in fields like mathematics, science algebra and one semester secondary schools should offer advanced mathematics and technology. Compensation calculations must and science courses. This requirement should be in include consideration of intangible benefits such as place by September 1, 1985. the length of the work year, promotion potential, and similar factors. • Colleges and universities should phase in higher mathematics and science entrance requirements, provide means • State and local governments should including four years of high school mathematics, and status ladder for teachers to move up a salary including a second year of algebra, coursework without leaving the classroom. covering probability and statistics, four years of high • Local school systems, military and other school science, including physics and chemistry, and governmental entities, and the private sector should one semester of computer science. all explore ways to extend the employment year while • Specific school personnel should be obligated to providing supplementary income and revitalizing ex inform students of these rigorous requirements. School perience. districts and community colleges should cooperate in • Professional societies, schools, States and the assisting students whose preparation is inadequate to Nation should find ways to recognize the performance allow them to take the next steps in their education. and value of the excellent teacher. For the long term, we must establish a pattern Finally, we must take action to make the classroom of education that will develop familiarity, skills and a place where teachers can teach and children can understanding consistently and coherently throughout learn-an exciting place with more opportunity the years of elementary and secondary education. for student-teacher interaction. We must build a This does not imply either a lockstep or "national" professsional environment that will attract and hold curriculum; local diversity and variation is a key talented and well-trained teachers, despite the allure strength of American education. Rather, we call of the private sector. for a consensus on new educational objectives and a • State and local governments should work to im coherent national pattern-a framework for consistent prove the teaching environment. This includes greater education within which alternative curricula and administrative and parental support of discipline and materials and local interpretation are encouraged. attendance, fewer classroom interruptions, and higher • The National Science Foundation should take academic standards, as well as the provision of needed a leadership role in promoting curriculum evalua equipment, materials and specialized support staff. tion and development for mathematics, science and

751 PERCENTAGE OF "HIGH SCHOOL" STUDENTS TAKING 3 YEARS OF SCIENCE AND MATHEMATICS

• SCIENCE

UNITED STATES 0 MATH

USSR

WEST GERMANY

JAPAN

PERCENTAGE 0 20 40 60 80 100

Note: While all students study mathematics and science (at least one course) each year in the upper secondary school in Japan, West Germany and the U.S.S.R., the most recent NAEP data (1983) indicate 84% of U.S. students do not take physics, 65% do not take chemistry, 62% do not take Algebra II, 48% do not take geometry and 23% do not take biology. [The National Assessment of Educational Progress, Denver, Colorado, begun in 1968, was conceived as a comprehensive measure of the results of American education. Goals, objectives and banks of specific test items were developed to cover the range of subjects taught in elementary and secondary schools. These activities were initially supported by the Department of Health, Education and Welfare and then, after its creation, by the Department of Education.] Souree: National Center of Educational Statistics, High school and beyond, National Center for Educational Statistics (NOES 81-244), April 1981, Washington, D.C., and A challenge for American precollege education: Scientific literacy in Japan, China, the Germanies and the Soviet Union, edited by Margarete Klein and F. James Rutherford, The Macmillan Company, New York (in press). technology. It should work closely with classroom to work patiently with every student, regardless of teachers, technical experts from business and govern level or sophistication. They also offer a means ment, school boards and educational researchers, as to relieve teachers of much of the drudgery of well as with professional societies. Representatives of routine exercise and record keeping. Furthermore, publishers and higher education associations should computers offer a wealth of interactive learning become involved as the work proceeds, to encourage resources, including access to word processing, data development and transfer of these ideas to actual bases, graphic capabilities and a host of related means material for the classroom. to expand students' learning potential. • The Federal government should support research If this promise is fulfilled, computers could into the proccesses of teaching and learning at both simultaneously provide a new standard of achievement the basic level and the level of classroom application. and lower the cost of education. In the body of this Report, we provide a broad • The National Science Foundation should lead and preliminary outline of the content that should in evaluating progress in the application of new be included in this new pattern of education for all technologies, supporting prototype demonstrations, students. More importantly, we indicate the kinds disseminating information, and supporting research of problem solving insight and skills that must be on integration of educational technologies with the provided. We offer this not as a conclusion, but curriculum. These plans should not interfere with as a beginning-a place to start the long process private initiatives now underway. of defining and developing programs that prepare students for a wide range of roles and needs. • States should establish regional computer centers for teacher education and encourage the use of New Information Technologies computers in the classroom for both teaching and Computers are revolutionizing many areas of our administration. lives; they may well do the same for education. • Top executives in the computer, communication, They and other new technologies offer the potential and information retrieval and transfer industries

752 should develop plans which, in a good, economical • Local business groups and organizations with and quick way, enable school systems to use the related interests should work with museums to technology. supplement and encourage their activities and to • The national and state education councils and create new programs that let children see science and school boards should work with school districts and technology in the real world. schools to develop plans for implementing these Finance technologies in the classroom. This Commission has not avoided the difficult issue Informal Education of cost. Change requires investment. In the end, A great deal of education takes place outside the it may well be that a better educational system will classroom. The most fortunate students receive yield greater efficiency, long-term economies and a experiences in museums, clubs and independent more valuable output. But in the near future, our activities. All children are strongly conditioned and recommendations require substantial net investment motivated by their early experiences and impressions. at all levels. The child who has regularly visited zoos, planetaria In particular, as the leader and driving force and science museums, hiked along nature trails and to encourage change, we believe that the Federal built model airplanes and telescopes is infinitely better government should anticipate an initial investment prepared for, and more receptive to, the mathematics of approximately $1.51 billion for the first full year and science of the classroom. the recommended Federal initiatives are in place Formal education should be preceded and supple ($829 million of this amount will be disbursed over mented by a wide range of such informal learning three years at the rate of $276 million per year). experiences. During succeeding years the Federal appropriation will • Youth organizations, museums, broadcasters and decline-to approximately $680 milllion in the second other agents of informal education should endeavor year and $331 million in the sixth year. We do not to make the environment for informal learning as rich consider this an excessive investment in our Nation's as possible. human capital. In fact, the cost is small compared • Science broadcasts warrant continued and sub to the much larger efforts and investments of local stantial Federal support as well as corporate and school systems, which ultimately carry most of the other private support. Federal regulation of com burden, responsibility and authority for the quality mercial stations should include a required period of of our children's education. The Federal government educational programming for children. should study ways to protect the States and local • The Federal government should provide sup communities from any anticompetitive effects on the plementary support to encourage a full spectrum States and local communities of increasing taxes for of community and educational activities by science educational purposes. museums. Before we shrink from our responsibility, consider • Businesses and broadcasters should help to the heritage that was passed to us. We must not do promote and publicize the efforts of institutions like less for our children and future general;ions. science museums and public broadcasting. Recommended Federal Action in Science Education, and the Costs

The following is a list of the commission's major It should also facilitate the sharing of information recommendations for federal action and an indication about successful mathematics, science, and technology of the annual costs, above current estimates of educational programs. spending, needed to implement each. Finally, the President's National Education Council should recommend incentives to encourage state, local 1. The President should immediately appoint aNa and private investment in education. tional Education Council made up of representatives Cost: $2. 75-million from a cross-section of national interests. This council should report regularly to the President. It should 2. The federal government should finance and provide leadership in developing, coordinating, and maintain a national mechanism to measure student implementing plans to improve and maintain the achievement and participation in a manner that allows quality of the nation's elementary and secondary national, state, and local evaluation and comparison education in mathematics, science, and technology. of educational progress. This assessment mechanism The President's National Education Council should, should be overseen by the President's National on a continuing basis, Education Council. The actual assessment, however, (1) identify educational goals and recommend the should be performed by the groups responsible for changes needed in the form and content of education the National Assessment of Educational Progress or to reach those goals; other such entities experienced in testing procedures and techniques. Cost: $5-million (2) insure that the assessment mechanism described below is developed and maintained for measuring and 3. The unique national role of the federal govern comparing student achievement, participation, and ment (including important Department of Education progress toward these goals in every state, school and National Science Foundation programs) in in district, and school; and suring access in its broadest sense to educational (3) monitor and report annually to the American opportunity must continue. Cost: $157-million people on the status of American education and progress toward achieving these educational goals.

753 4. The federal government should encourage and 9. Research into the processes of teaching and finance, in part, the establishment of exemplary learning should be supported with federal funds at schools or programs in mathematics, science, and both the basic level and the level of classroom technology in each community throughout the application. This research should further the recent nation to serve as examples and catalysts for progress in the cognitive sciences, and particular upgrading all schools. The federal government should research projects should investigate the integration of evaluate current resource allocation policies, entertain educational technologies into the processes of teaching redistribution and, where necessary, appropriate and learning. Cost: $10.5-million funds to support the development of such programs. 10. The National Science Foundation should again The federal government should appropriate funds take the leadership role in evaluating the status of to aid the establishment of at least 1,000 of such developments in this area [educational applications exemplary schools at the secondary level and at least of new technologies). This should include such 1,000 such schools at the elementary level throughout actions as determining needed initiatives, supporting the country. Cost: $829-million prototype demonstrations, disseminating information 5. The Department of Education and the National on model materials and practices, and supporting Science Foundation should support and facilitate research on integration of educational technologies the dissemination of information to help build this with the curriculum. To achieve this, the commission national network of exemplary programs. suggests, as one mechanism for the National Cost: $0 added Science Foundation to consider, that a Council for Technology Application in Education be established. 6. The federal government has a responsibility to This group would advise the National Science insure that such [teacher) training is available and Foundation on initiatives of this area including: should provide funding for in-state teacher training supporting research into the fundamental aspects programs in mathematics, science, and technology. of the integration of modem technology into the Summer and in-service institutes, supported by the processes of teaching and learning; developing National Science Foundation, provide a proven model mathematics, science, and technology curricula that for upgrading of teacher skills. Cost: $349-million can integrate computer systems and supporting 7. The National Science Foundation should provide materials effectively; promoting private industry, seed money to develop and establish statewide or colleges, and universities to collaborate in training in regional on-site teacher training programs using the service teachers in the utilization of high technology new information technologies. Cost: $30-million systems [e.g., out-of-school and in-service training programs, computer conferences, training programs 8. The National Science Foundation, which has for schools of education); encouraging and assisting recognized expertise in leading curriculum develop school systems to acquire computers, software, ment, should again take the leadership role in cur instructional materials, and science equipment [e.g., riculum evaluation and development for mathematics, via tax incentives); assisting in making the highest science, and technology. The National Science quality software available on the broadest possible Foundation should set up a process to evaluate ex scale. Cost: $36-million isting curricula, identify good curricula, disseminate information, act as a clearinghouse and promote 11. Science broadcasts are an important and cost the development of guidelines for new curricula as effective vehicle of informal learning, which warrant necessary. [Also) The National Science Foundation continued and substantial federal investment and should support the development of courses to meet support. Cost: $13-million this need [courses dealing with technology at grades 12. Federal regulation of commercial [broadcastingj 8 and 9). stations should include a required period. of educa To achieve this objective, the commission suggests, tional programming for children. Cost: $0 added as one mechanism for the National Science Foundation to consider, that a Mathematics, Science, and 13. The federal government should provide sup Technology Curriculum Council be established in the plementary support for museum education activities National Science Foundation. It should appoint and in mathematics, science, and technology at a level coordinate the activities of [4) specific committees. that will encourage a rich spectrum of activities and The responsibility for each committee should options. Cost:· $25-million include: determination of the best course content for 14. Private industry and government agencies its subject area; critical review of the available texts should create programs and opportunities which let and other teaching materials; publication through the children see science and technology in actual operation National Science Foundation of the results of the in their plants and installations. Cost: $0 added critical evaluation; identification of the areas where improved materials and totally new course materials TOTAL COST: $1.51-billion are needed; identification of the areas where future research is needed in curriculum development and the processes of teaching and learning. The council and committees should work with widely dispersed demonstration centers to test new curriculum. Cost: $52-million

754 PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS

The Mathematical Heritage of Henri Poincare Section 4. Several complex variables Felix E. Browder, Editor Michael Beals, Charles Fefferman and Robert Gross man, Strictly pseudoconvex domains in en On April 7-10, 1980, the American Mathematical Phillip A. Griffiths, Poincare and algebraic geometry Society sponsored a Symposium on the Mathematical Roger Penrose, Physical space-time and nonrealizable Heritage of Henri Poincare, held at Indiana University, CR-structures Bloomington, Indiana. This volume presents the R. 0. Wells, Jr., The Cauchy-Riemann equations and written versions of all but three of the invited talks differential geometry presented at this Symposium (those by W. Browder, A. Jaffe, and J. Mather were not written up for pub PART 2 lication). In addition, it contains two papers by in Section 5. Topological methods in nonlinear problems vited speakers who were not able to attend, S. S. Raoul Bott, Lectures on Morse theory, old and new Chern and L. Nirenberg. Haim Brezis, Periodic solutions of nonlinear vibrating If one traces the influence of Poincare through the strings and duality principles major mathematical figures of the early and mid Felix E. Browder, Fixed point theory and nonlinear twentieth century, it is through American mathemati problems cians as well as French that this influence flows, L. Nirenberg, Variational and topological methods in through G. D. Birkhoff, Solomon Lefschetz, and nonlinear problems Marston Morse. This continuing tradition represents Section 6. Mechanics and dynamical systems one of the major strands of American as well as jean Leray, The meaning of Maslov's asymptotic world mathematics, and it is as a testimony to this method: the need of Planck's constant in mathe tradition as an opening to the future creativity of matics mathematics that this volume is dedicated. David Ruelle, Differentiable dynamical systems and the problem of turbulence Contents: PART 1 Steve Smale, The fundamental theorem of algebra theory Section 1. Geometry and complexity theory and recurrence Shiing-Shen Chern, Web geometry Section 7. Ergodic J un-lchi lgusa, Problems on abelian functions at the Harry Furstenberg, Poincare recurrence and number time of Poincare and some at present theory john Milnor, Hyperbolic geometry: the first 150 H. Furstenberg, Y. Katznelson and D. Ornstein, The years ergodic theoretical proof of SzemerMi's theorem Ngaiming Mok and Shing-Tung Yau, Completeness of Section 8. Historical material the Kiihler-Einstein metric on bounded domains P. S. Aleksandrov, Poincare and topology and the characterization of domains of holomorphy Henri Poincare, Resume analytique by curvature conditions jacques Hadamard, L 'oeuvre mathematique de Poin Alan Weinstein, Symplectic geometry care Section 2. Topology 1.980 Mathematics Subject Classifications: 01, 14, 22, 30, 32 & others j. Frank Adams, Graeme Segal's Burnside ring con Proceedings of Symposia in Pure Mathematics jecture Volume 39: Parts 1 and 2 (hard cover) William P. Thurston, Three dimensional manifolds, x + 439 pages (Part 1 ); vi + 470 pages (Part 2) Kleinian groups and hyperbolic geometry Set: List price $75, institutional member $56, individual member $38 Section 3. Riemann surfaces, diScontinuous groups Each part: List price $40, institutional member $30, and Lie groups individual member $20 Lipman Bers, Finite dimensional Teichmiiller spaces Set: ISBN 0·8218·1442·7; LC 83·2774 Part 1: ISBN 0-8218·1448-6; LC 83·2774 and generalizations Part 2: ISBN 0·8218-1449-4; LC 83-2774 Wilfried Schmid, Poincare and Lie groups Publication date: August 1983 Dennis Sullivan, Discrete conformal groups and mea To order, please specify (Set) PSPUM/39N surable dynamics (Part 1) PSPUM/39.1N; (Part 2) PSPUM/39.2N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. Nonacademic Employers of Mathematicians by David H. Bailey SRI International, Menlo Park, California

As anyone who has tried to find employment different sources, including newspapers, technical recently will attest, the job market for persons journals, and personal recommendations. By no with mathematical backgrounds has undergone means is it an absolutely exhaustive list, but the dramatic changes in the last decade. Until about author believes that it includes the names and 1970, university departments hired almost all new addresses of all major employers of persons with Ph.D.'s in mathematics and many M.S. graduates degrees in mathematics. Such a list is not the as well. Since then a combination of demographic final answer to this lack of information, but it is and economic factors has reduced the number of hoped to be a step in that direction. available teaching positions to a trickle. In recent Since most people prefer to focus their employ years even highly capable graduates have faced ment search on a particular geographical area, great difficulty finding acceptable employment in employers within the same state have been the academic world. Furthermore, the lucky grouped together. The number following the name ones who did land teaching-research positions at of the employer is an estimate of the number of leading universities a few years ago now for the persons employed with degrees in mathematics. most part face uncertain prospects for tenure and Use these numbers for comparison only-your collect disappointingly low salaries. counts may vary. The mailing addresses shown On the other hand, prospects for employment in are believed correct, but are not guaranteed the nonacademic world have never been brighter. since many organizations (especially smaller ones) The burgeoning growth of micro-electronics, com frequently move to new facilities. puters, and other information-age technologies One important caveat to keep in mind is has produced strong demand for mathematically that few of these employers engage in the trained persons who are willing to apply their sort of erudite mathematical work done in skills to technical problems. Employers are still most universities. Indeed, some employers are reluctant to hire mathematicians whose interests interested in hiring mathematicians principally are purely theoretical, and many candidates dis because these candidates are evidently highly cover too late that the narrow coursework and skilled in solving difficult analytical problems. research they have pursued have virtually no In most cases employers train mathematicians in relevance to the "real" world. But for those work that is at least partly non-mathematical mathematicians who have prepared themselves after hiring them. For this reason it is highly well, having gained a broad background not only recommended that job seekers be flexible in the in mathematics, but in some allied fields as well, sort of work they would be willing to perform. bountiful opportunities are now available. Persons who insist on working exclusively on One obstacle has stood in the way for many of arcane mathematical problems will find their those wishing to explore these new nonacademic employment opportunities quite limited. The employment opportunities: at present it is rather best bet for them would be the mathematical difficult to find detailed information on the research department of a large organization, numerous research laboratories, private firms, such as Bell Laboratories, the mM Watson and government agencies that hire persons with Research Laboratory, or the National Security degrees in mathematics. Some company names, Agency. However, even in such relatively "pure" but no addresses, may be found in the Combined environments, mathematicians will be expected Membership List published by the mathematical to do work that has definite applications to the societies. A few addresses may be found in real-world problems at hand. the Mathematical Sciences Professional Directory published by the AMS. But neither of these List of Nonacademic Employers of Mathematicians pretends to be a complete list, and some of the The number in parentheses following the name of best possibilities are not mentioned in either place. the employer is an estimate of the number of persons Having personally experienced the frustration employed with degrees in mathematics. of searching for reliable nonacademic employment Alabama information, the author has over the last few NASA-MSFC (15) Huntsville, AL 35812 years assembled the list of employers below. This Teledyne-Brown Engineering (12) Cummings Re information was compiled from a number of search Park, Huntsville, AL 35812

756 General Research (5) 307 Wynn Drive, Huntsville, AL Physical Dynamics Inc. (5) 1250 Prospect Street, 35812 La Jolla, CA 92037 Arizona Rand Corporation (10) 1700 Main Street, Santa Monica, CA 90406 GTE R&D Center (5) 2500 W. Utopia Road, Phoenix, AZ 85027 Rockwell International (10) 3370 Miraloma Avenue, Anaheim, CA 92803; (10) 8900 DeSoto Avenue, Honeywell, Inc. (10) 13430 N. Black Canyon Hwy., Canoga Park, CA 91304 Phoenix, AZ 85017 Science Applications, Inc. (20) 1200 Prospect Street, Hughes Missile Systems (5) P. 0. Box 11337, Tucson, La Jolla, CA 92037 AZ 85734 TRW, Inc. (50) One Space Park, Redondo Beach, CA Motorola, Inc. (10) 5005 E. McDowell Road, Phoenix, 90277 AZ 85017 California-Northern: Connecticut (San Francisco, "Silicon Valley" and environs) ITT Advanced Technology (10) One Research Drive, Apple Computer Co. (5) 20525 Mariani Avenue, Shelton, CT 06484 Cupertino, CA 95014 Naval Undersea Center (20) New London, CT 06320 Chevron Research Co. (5) P. 0. Box 1627, Richmond, United Technologies (15) 400 Main Street, East CA 94802 Hartford, CT 06120. ESL, Inc. (10) 495 Java Drive, Sunnyvale, CA 94086 Colorado Ford Aerospace & Comm. (10) 3939 Fabian Way, Marathon Oil Co. (10) 7400 S. Broadway, Denver, CO Palo Alto, CA 94303 80201 Hewlett-Packard Co. (20) 1501 Page Mill Road, Palo Martin Marietta (15) 12250 S. Highway 75, Denver, Alto, CA 94304 co 80201 IBM Corp. (30) 5600 Cottle Road, San Jose, CA 94114 National Center for Atmospheric Research (15) Intel Corp. (10) 3065 Bowers Avenue, Santa Clara, Boulder, CO 80302. CA 95051 Delaware Lawrence Berkeley Labs. (15) Berkeley, CA 94720 E. I. Dupont Company, (15) Wilmington, DE 19898 Lawrence Livermore Labs. (50) Livermore, CA 94550 District of Columbia Lockheed Missiles & Space (40) 1111 Lockheed Way, Air Force Research Lab (20) Washington, DC 20330 Sunnyvale, CA 94086 Bureau of the Census (20) Washington, DC 20233 Lockheed Palo Alto Research Lab. (15) 3251 Hanover National Bureau of Standards (40) Washington, DC Street, Palo Alto, CA 94304 20234 NASA (10) Moffett Field, CA 94035 National Science Foundation (30) Washington, DC Sandia Labs. (20) Livermore, CA 94550 20550 SRI International (20) 333 Ravenswood Avenue, Menlo Naval Research Lab (40) Washington, DC 20375 Park, CA 94025 Idaho Stanford Lin. Accel. Center (10) Stanford, CA 94305 EG&G Corp. (15) P. 0. Box 1625, Idaho Falls, ID System Control Technology (10) 1801 Page Mill Road, 83415 Palo Alto, CA 94304 Tandem Computers (5) 19333 Valco Parkway, Cuper Illinois tino, CA 95014 Argonne National Lab (30) Argonne, IL 60440 Xerox Palo Alto Research Center (10) 3333 Coyote Bell Labs. (25) Naperville, IL 60540 Hill Road, Palo Alto, CA 94304 Maryland California-Southern: Applied Physics Lab (15) Johns Hopkins Road, (Los Angeles, San Diego and environs) Laurel, MD 20707 Aerospace Corp. (50) 2350 E. El Segundo Blvd., El Ballistic Research Lab (10) Aberdeen, MD 21005 Segundo, CA 90245 Computer Sciences Corp. (20) 8728 Colesville Road, General Dynamics (10) 5001 Kearney Villa Road, San Silver Spring, MD 20910 Diego, CA 92138 EPL Analysis (5) 3460 Olney-Laytonsville Road, General Research (10) 5383 Hollister Avenue, Santa Olney, MD 20832 Barbara, CA 93105 General Electric (10) 401 N. Washington St., Gould Inc. (5) 4323 Arden Drive, El Monte, CA 91731 Rockville, MD 20850 Hughes Corp. (15) 8433 Fallbrook Avenue, Canoga IBM (10) 18100 Frederick Pike, Gaithersburg, MD Park, CA 91304; (30) 2060 E. Imperial Highway, 20760 El Segundo, CA 90245; (20) P. 0. Box 3310, NASA-Goddard (25) Greenbelt, MD 20711 Fullerton, CA 92634 National Oceanic & Atmospheric Agency (5) 6001 Hughes Research Labs. (15) 3011 Malibu Canyon -Executive Blvd., Rockville, MD 20852 Road, Malibu, CA 90265 National Security Agency (200) Ft. Meade, MD 20755 Jet Propulsion Lab (30) 4800 Oak Grove Drive, Naval Surface Weapons Center (25) Silver Spring, MD Pasadena, CA 91103 20910 McDonnell Douglas (10) 5301 Bolsa Avenue, Hun Vitro Labs (10) 14000 Georgia Avenue, Silver Spring, tington Beach, CA 92646 MD 20910 Naval Undersea R&D Center (10) San Diego, CA Massachusetts 92132 A. D. Little Co. (10) Acorn Park, Cambridge, MA Naval Weapons Center (30) China Lake, CA 93555 02140

757 Analytic Sciences Corp. (15) 1 Jacob Way, Reading, Grumman Aerospace Co. (15) Bethpage, NY 11714 MA01867 ffiM {15) Endicott, NY 13760; (20) 219 E. 42nd Street, Bolt Beranek & Newman (5) 10 Moulton Street, New York, NY 10052; (30) Poughkeepsie, NY Cambridge, MA 02138 12602; (15) White Plains, NY 10601 C. S. Draper Lab (5) 555 Technology Square, mM Research Center {100) Yorktown Heights, NY Cambridge, MA 02142 10598 Metropolitan Life Insurance {10) One Madison Digital Equipment Co. (10) Maynard, MA 01754 Avenue, New York, NY 10010 GTE (15) 40 Sylvan Road, Waltham, MA 02194; {10) North Carolina 77 A Street, Needham, MA 02194 Research Triangle Institute (5) Research Triangle MIT Lincoln Lab (40) Lexington, MA 02173 Park, NC 27709 Mitre Labs. {20) 4910 Middlesex Turnpike, Bedford, Oklahoma MA07130 Parke Math Labs. (10) 1 River Road, Carlisle, MA Amoco Research Center {15) P. 0. Box 591, Tulsa, 01741 OK 74102 Cities Service Co. {10) P. 0. Box 3908, Tulsa, OK Prime Computer (5) 500 Old Conn Path, Framing 74102 ham, MA 01701 Ohio Prindle, Weber & Schmidt (5) 20 Providence Street, Boston, MA 02116 Wright-Patterson AFB (30) Wright-Patterson AFB, OH 45433 U.S. Department of Transportation {10) Cambridge, Pennsylvania MA 02139 Vebex (5) 2 Oak Park, Bedford, MA 01730. Daniel H. Wagner Associates {30) Station Square 1, Paoli, PA 19301 Michigan GTE {15) Towanda, PA 18848 GM Research Institute (20) Warren, MI 48090 Westinghouse {30) 1310 Beulah Road, Pittsburgh, PA Ford Motor Co. (15) Dearborn, MI 48121 15235 Minnesota Rhode Island Control Data Corp. (15) 8100 34th Avenue, Min American Mathematical Society {10) P. 0. Box 6248, neapolis, MN 55420 Providence, RI 02940 Cray Research (10) 1440 Northland Drive, St. Paul, Tennessee MN 55101 Union Carbide Nuclear (30) Oak Ridge, TN 37830 Univac (15) 3333 Pilot Knob Road, St. Paul, MN Texas 55101. E-Systems {10) 6250 LBJ Freeway, Dallas, TX 75201 Missouri Exxon R&D Labs. {30) 3120 Buffalo Speedway, Houston, TX 77001 McDonnell Douglas {20) Brown Road, St. Louis, MO General Dynamics (10) N. Grants Lane, Ft. Worth, 63166 TX 76116 New Hampshire Lockheed {10) P. 0. Box 17100, Austin, TX 78760 Sanders Associates {10) Nashua, NH 03060 Mobil Oil R&D Labs. (15) 3600 Duncanville, Dallas, TX 75221 New Jersey Texaco (15) 5901 Rice Avenue, Bellaire, TX 77402 Bell Labs. (80) Holmdel, NJ 07733; (100) Murray Hill, Texas Instruments (30) 13500 N. Central Expressway, NJ 07974 Dallas, TX 75222 Educational Testing Service (15) Princeton, NJ 08540 Virginia Exxon Research Center {10) Florham Park, NJ 07932 The Analytic Sciences Corp. (10) 8301 Greensboro Institute for Defense Analyses (35) Thanet Road, Drive #1200, Arlington, VA 22102 Princeton, NJ 08540 Center for Naval Analyses (35) 1401 Wilson Blvd., Lockheed Electronics {10) 1501 U.S. Highway 22, Arlington, VA 22217 Watchung, NJ 07061 Computer Sciences Corp. {10) 6565 Arlington Blvd., RCA Research Center (15) Princeton, NJ 08540 Falls Church, VA 22046 Hadron Inc. (5) 1951 Kidwell Drive, Vienna, VA 22180 New Mexico Institute for Advanced Comp. {10) 128 S. Royal Los Alamos National Lab {70) Los Alamos, NM 87544 Street, Alexandria, VA 22314 Sandia National Lab (40) Albuquerque, NM 87115 Institute for Defense Analysis (25) 400 Army-Navy White Sands Missile Range (15) White Sands, NM Drive, Arlington, VA 22217 88002 Mitre Corp. (15) 1820 Dolley Madison Blvd., McLean, New York VA 22102 NASA-Hampton (25) Hampton, VA 23665 AT&T {10) 195 Broadway, New York, NY 10007 Planning Research Corp. (10) 7600 Old Springhouse Academic Press {10) 111 Fifth Avenue, New York, Road, McLean, VA 22101 NY 10003 Riverside Research Institute (10) 1701 N. Ft. Myer Brookhaven National Lab (25) Upton, NY 11973 Drive, Arlington, VA 22210 Eastman Kodak (15) 343 State Street, Rochester, NY Washington 14650 Battelle Northwest {10) Richland, WA 99352 Equitable Life Insurance (10) 1285 Avenue of the Boeing Aerospace {30) 20403 68th Street, Kent, WA Americas, New York, NY 10019 98031 General Electric Research Center (20) Schenectady, Boeing Computer Services {20) 17501 Southcenter NY 12301 Parkway, Tukwilla, WA 98188

758 Queries Edited by Hans Samelson QUESTIONS ARE WELCOMED from AMS members regarding mathematical matters such as details of, or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. REPLIES from readers will, when appropriate, be edited into a composite answer and published in a subsequent column. All answers received will be forwarded to the questioner. QUERIES and RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940.

Queries constant L. A first integral G : Rn --+ R of the system is known. How can this fact be used in 288. Seymour Kass (Science Building, University bounding the difference Y1(t)- y2(t) between two of Massachusetts, Boston, Massachusetts 02125). solutions of the system in terms of Y1{0)- Y2{0)? A triangle-like inequality due to H. Bohr (quoted For large values of t, standard error bounds in Hardy, Littlewood and Polya, page 61) states involving exp(Lt) are far from sharp if the surfaces that G = constant are compact.

Ia + W ~ (1 + c)ial 2 + (1 + 1/c)lbl 2 , 293. M. S. Brandly (Route 3, Liberty, Indiana 47353). Does literature exist regarding details of where c > 0 and a and b are real or complex. Are there generali:llations for exponents greater Perfect Competitions? A Perfect Competition in than two, or for sums of more than two terms? volves m players, m ::::: 4, where at each iadividual In particular, since (1 + c)-1 + (1 + c-1)- 1 = 1, competition two players are matched against two are there generali:llations in which the sum of the other players. An entire tournament arrangement reciprocals of the coefficients is 1? has every possible team combination playing ver sus every other possible team combination once. 289. Ira Gessel (Department of Mathematics, Mas Obviously when m ::::: 8, two or more individual sachusetts Institute of Technology, Cambridge, competitions may take place simultaneously. The Massachusetts 02139). Who first discovered the formula is known that defines the total number matrix formula det exp A = exp trace A? The of competitions necessary to complete this task: formula has been attributed to Jacobi, but I NP(m). I would like to know if formulas exist believe it could not have been discovered before that define the minimum number of rounds neces his death in 1851. sary to complete these competitions where m > 8. 290. Albert A. Mullin (506 Seaborn Drive, It seems clear that when m = 0 (mod 4), the Huntsville, Alabama 35806). Unless I am minimum number of rounds equals 4 · NP(m)/m. mistaken, the largest known Fermat composite Any clues to literature would be appreciated. is F1945 = 221945 + 1. (1) Is F1945 bicomposite (i.e., the product of two distinct primes)? Note Responses that the "base" 1945 is bicomposite. (2) What is the largest known Fermat bicomposite? (3) What The editor would like to thank all those who is the largest known Fermat bicomposite with a sent in replies. bicomposite "base"? Similarly, the lar~est known 273. (Volume 30, page 302, April 1983, David Mersenne composite is Mss249 = 28 249 - 1, I Meseheloft) Inversion of y = x + sin x near x = believe; the exponent being prime. (4) Is Mss249 1r. Reply: Because of continued interest in the bicomposite? (5) What is the largest known problem, we give some details. Bessel's classical Mersenne bicomposite? (6) What is the largest solution amounts to known Fibonacci bicomposite? 00 1 291. Louis Funar (Department of Mathematics, x=y+2 L -Jn(-n)sinny, n=1 n University of Craiova, Craiova, Romania). For an arbitrary plane figure F let h: (0, 1] --+ Z be with Jn =nth Bessel function. The elementary defined by: h(A.) is the minimal number of domains ( "Puiseux") solution is obtained by rewriting the Fi, homothetic to F with ratio A., such that U Fi equation as cover F. Prove or disprove: if F is convex then y -1r = x -1r- sin{x -1r) h(A.) takes all integer values 4, 5, 6, 7, ... iff F is not a parallelogram. = ~(x -7r)3(1- 2~(x -7r)2 +··.) 292. J. M. Sanz-Serna (Departamento Ecuaciones Funcionales, Facultad de Ciencias, Universidad and inverting this in the standard fashion as de Valladolid, Valladolid, Spain). Consider the power series in (y- 1r)1/ 3. A third method differential system y' = f(y), where f is smooth uses complex variables and a Riemann problem and Lipschit:ll continuous in Rn, with Lipschitz (Burniston and Siewart, Celestial Mech. 6 (1972),

759 294-- 304). (Contributed by Burniston, Holland, Grossman, Lotan, Luxemburg, Ross, Todorov) American Mathematical Society 283. (Vol. 30, p. 491, August 1983, Michael K. Mills) The Calculus of Indications and G. Spencer Translators Wanted Brown's Laws of form. Reply: In On G. Spencer Brown's laws of form (Notre Dame J. Formal Logie 18 (1977), 507 -509), B. Banaschewski establishes the (intuitively obvious) equivalence of Spencer The fee paid by the Society for produc Brown's primary algebra with the theory of join ing acceptable typewritten translations of and symmetric difference of Boolean algebras. Russian mathematical papers has recently (Contributed by Richard Russell Wood) risen from an average of $9 per Russian page to $13 per Russian page. For qualified mathematicians wishing to take advantage of this increase the distribution of need according to subject classification is as follows. The most heavily trafficked area is differential equations, especially PDE. The best prepared translators will be familiar with applications of Schwartz distribu tions, as well as recent research on pseudodifferential operators. Contributions to the global theory are also beginning to appear. Other areas in which good translators The Existence of are needed are logic and computer science Multi-dimensional Shock Fronts (much of the work involves recursion Andrew Majda theory and algorithms), number theory Abstract (both analytic and algebraic), ring theory The short-time existence of discontinuous shock front solutions of a system of conservation laws in (including homological methods and K several space variables is proved under suitable theory), algebraic geometry, nonassociative hypotheses. These shock-front solutions are nonlinear algebras (mostly Lie algebras and Jordan progressing wave solutions associated with the non algebras), group theory (discrete and linear wave fields. The results developed here apply topological), several complex variables, to the equations of compressible fluid flow in two or three space variables with standard equations of integral equations, differential geometry state where the initial data can have shock discon (mostly global theory), optimization and tinuities of arbitrary strength which lie on a given mathematical programming, statistics, and smooth initial surface with arbitrary geometry. numerical analysis. In applications the These shock-front solutions are constructed via a classical interation scheme so that the shock fronts most prominent areas are elasticity and for the physical equations arc extremely stable and fluid mechanics. do not exhibit a "loss of derivatives." Two of the Areas that are already well covered main tools used in the proof of convergence are involve classical analysis and functional estimates from Friedrichs' theory of positive sym metric systems and the linearized stability theory analysis, i.e. greater or lesser portions of for shock fronts developed recently by the author. the categories 26-X:X, 28-XX, 30-XX, 40- The convergence proof for the iteration scheme XX, 42-XX, 44-XX, 46-X:X, 47-XX in utilizes exponentially weighted square-integrable the subject classification scheme used by norms in space-time together with a judicious choice Mathematical Reviews. of these weights as the time interval tends to zero. Interested applicants are asked to 1980 Mathematics Subject Classifications: 76 LOS, 35 L65 Memoirs of the American Mathematical Society respond to the Translations Department, Memoir Number 281, vi+ 94 pages (soft cover) American Mathematical Society, Post List price $10, institutional member $8, individual member $5 Office Box 6248, Providence, RI 02940 ISBN 0-8218-2281-0; LC 83-3725 with a specific description of their area of Publication date: May 1983 To order, please specify MEM0/281 N mathematical competence. A brief trial excerpt will then be sent by which the Prepayment is required for all AMS publications. applicant can demonstrate the combina Order from AMS, PO Box 1571, Annex Station, tion of such competence with the requisite Providence, Rl 02901, or call 800-556-7774 language skills. to charge with VISA or MasterCard.

760 Letters to the Editor

A-21 Bulletin On 4 January, the Council of the AMS passed I wish to add my voice to those who a valuable resolution concerning problems which 1) like Ivar Ekeland applaud the research arose out of Circular A-21 and effort reports, expository articles in the Bulletin; and recommended some action. We are happy 2) like Armand Borel decry the upgrading of the to report that at Yale, we regard the problem Notices by the inclusion of articles of (possibly) as having been solved. The administration has lasting value. These new articles also should go received authorization from the auditing agency into the Bulletin. HHS (Health and Human Services, formerly HEW Roger Howe before theE was taken out), to use fixed rates for Yale University departmental administration, and eliminate effort reports for overhead charges. This agreement Jose Luis Massera is valid for two years. As to direct costs, A Seminar on Fourier Analysis was held at El the mathematics department proposed various Escorial, Madrid, Spain, from June 28 to July certifications to the administration, including that 5, 1983, organized by the Asociaci6n Matematica of the Council as reported in the Notices, February Espanola. 1983, page 231. Following the recommendation of the University Committee on Sponsored Research, The Seminar was attended by A. P. Calderon, the Yale administration has accepted one of the J.-P. Kahane, E. M. Stein, G. L. Weiss and statements for the certification of summer salary sixty other mathematicians from the United States, Spain, France, Italy, Sweden, Austria and (the only one of concern to us) namely: Argentina. The participants signed the enclosed I certify that the allocation of salary during letter, on behalf of Professor J. L. Massera, the specified period to the project identified imprisoned since 1974 in Uruguay, that was sent above is proper. to the Uruguayan authorities. We are very pleased with these developments, The publication of this letter in the Notices will and feel that common sense has prevailed. We contribute to the campaign for the liberation of hope that this solution will be used as a precedent, Professor Massera. and a basis for a satisfactory solution of the effort Cora Sadosky reporting problem elsewhere. Howard University Robert H. Szczarba Yale University The participants of the Seminar on Fourier Analysis send their best wishes to Professor Massera of Uruguay who, for idealogical reasons, Letters of Recommendation has been imprisoned for the last 7 years. They The Committee on Employment and Educa also add their support to all the efforts being made tional Policy of the Society has been asked to to free their fellow mathematician. comment on the growing practice of some colleges and universities of requesting an inordinate num EDITORS' NoTE. This was signed by Cora ber of letters of recommendation for promotion Sadosky and more than 75 others. and/or tenure. It is our experience that mathe maticians are extremely conscientious in writing Assessments of Graduate Programs such letters, and in offering a careful and thought Between September 1982 and January 1983 ful analysis. To ask for ten or fifteen letters of the Conference Board of Associated Research recommendation for each candidate is to place an Councils published a five-volume assessment unfair burden on the mathematical community. of various graduate programs including mathe As has been remarked: "Five different proofs of the matics. Volume 1, published in October 1982, same theorem ought to be sufficient." We will not assessed the mathematical and physical sciences. comment on the practice within other disciplines This survey is the fourth such survey since the first nor offer a canonical number for mathematics in 1957, the second in 1964, and the third in 1970. except to emphasize that in general letters of The 1982 survey is a somewhat more elaborate recommendation in the mathematical community assessment than the previous surveys. Even so, are carefully constructed with full attention to the due to my cumulative experience and knowledge, candidate's work. I found it so unreasonable in its conclusions that Donald C. Rung, I wonder why funds are invested in ratings of Chairman graduate programs by simply associating rational AMS Committee on numbers to them. Assessments by such methods Employment and are irrelevant tasks, and highly misleading from Educational Policy the viewpoint of the administration. The school of

761 mathematics of the USA is brilliant and powerful, hence a model to inspire other countries; but Poliey on Letters to the Editor the assessments of its graduate programs by the Letters submitted for publication in tbe Notices are "techniques" used so far should not proliferate reviewed by the Editorial Committee, whose task is internationally, I hope! ... to determine which ones are suitable for publication. Leopoldo Nachbin The publication schedule requires from two to four months between receipt of the letter in Providence and Rio de Janeiro, Brazil publication of the earliest issue of the Notices in which and University of Rochester it could appear. Publication decisions are ultimately made by majority Defining "Mathematical" vote of tbe Editorial Committee, witb ample provision for prior discussion by committee members, by mail or A popular college dictionary is the Webster's at meetings. Because of this discussion period, some New Collegiate Dictionary, based on the famous letters may require as much as seven months before a 3rd International of the Merriam-Webster Com final decision is made. pany. It gives our students the following The committee reserves the right to edit letters. definition, among others, for the word mathe The Notices does not ordinarily publish complaints matical: "possible but highly improbable". As about reviews of books or articles, although rebuttals justification is offered the following phrase to il and correspondence concerning reviews in the Bulletin lustrate this use of the word: (only a mathematical of the American MathemaiJi.cal Society will be considered for publication. chance). Letters should be mailed to the Editor of the Doubtless this usage has its place in the sports Notices, American Mathematical Society, Post Office pages, nor do I object, but it does seem to me that Box 6248, Providence, Rhode Island 02940, and will be from the point of view of definition, the burden acknowledged on receipt. of the meaning here is carried by the word 'only' rather than by 'mathematical'. Let us offer the lexicographers of Webster's some analogous possibilities for their 4th Edition, e.g. Grammatical (adj) Trivial, quibbling (only a~ distinction). Ralph A. Raimi University of Rochester

NEW AMS POSITION OPEN Acquisitions Editor

One of the principal functions of the Society is to publish first-rate mathematics books at reasonable prices. To further that goal, the Executive Committee and Trustees have authorized the creation of a position of a kind new to the Society, that of Acquisitions Editor. This person would be charged with actively seeking out excellent authors (potential, budding or actual) and encouraging them to submit their ideas or manuscripts to the editorial committees of either the Surveys and Monographs Series or of the Colloquium Series. While the acquisitions editor would be an associate editor ex officio of both of these editorial committees, he or she would not have the power to accept manuscripts; but with manuscripts of the level envisaged this would presumably not be a problem. The acquisitions editor will receive (a) travel and subsistence costs for attending the two national meetings each year, if interviews with authors are scheduled, (b) reimbursement for incidental expenses, and (c) an annual payment of the greater of $2,000 or a royalty on books he or she has procured. Obviously desirable qualifications include broad understanding of contemporary research mathematics, wide acquaintanceship among currently active mathematicians, and willingness to pursue the expressed goal vigorously. Interested persons should write to Dr. W. J. LeVeque, Executive Director, American Mathematical Society, Post Office Box 6248, Providence, RI 02940, outlining their backgrounds and qualifications.

762 News and Announcements

AMS Research Fellowships Statistical Society of Canada; assistance with expenses to attend the meeting may be provided. The terms of the AMS Postdoctoral Research The winner will also be invited to submit a paper Fellowship are being changed. It has been the based on the thesis to The Canadian Journal case that fellowships were open to individuals who of Statistics; the thesis supervisor could be co had recently received the Ph.D. degree. This author of the paper. The Award Coordinator was ordinarily interpreted by the judging panel as must receive four (4) copie& of the thesis together meaning no more than four years past the Ph.D. with a covering letter from the thesis supervisor degree. The new version of the fellowship will indicating why the thesis is suitable as an entry be open to persons in early mid-career. This will in the competition (description of the problem, ordinarily be interpreted as meaning four to ten techniques and results, potential impact ...), by years past the Ph.D. (or equivalent), regardless of January 16, 1984. Official confirmation that age, but below the academic rank of professor. the thesis has been defended in 1983 must also Moreover, the vita must include some postdoctoral be provided. Award Coordinator: John Petkau, work experience, i.e. non-fellowship years. Department of Statistics, University of British The stipend has been set by the Trustees of the Columbia, 2075 Wesbrook Mall, Vancouver, B.C. Society at $30,000 for eleven months of full-time V6T 1W5, Canada; 604-228-4673. research or its equivalent. In addition, there will be an expense allowance of $1,000. Applicants William H. Roever Lectures must be citizens or permanent residents of a in Geometry country in North America. Fellowships may be held at any institution the Fellow selects or at The second series of William H. Roever Lectures more than one in succession. There is flexibility in Geometry will be held on January 9-13, 1984 at in the choice of time interval(s) and manner in Washington University, St. Louis, Missouri. They which the Fellow may draw funds. For instance, will be given by Phillip A. Griffiths of Harvard given the opportunity, a Fellow may elect to hold University and entitled Differential systems and a half-time academic appointment with a teaching responsibility not exceeding one course per term while holding the fellowship at one-half stipend AMS Research Fellowship Fund over a two-year period. The Fellow should consult Request for Contributions the Secretary of the Society to learn whether The AMS Research Fellowship Fund was the proposed arrangement is acceptable to the established in 1973. From this fund AMS Society. Research Fellowships are awarded annually to The deadline for receipt of applications is individuals who have received the Ph.D. degree, December 1, 1983. Awards will be announced late who show unusual promise in mathematical in January 1984. research, and who are citizens or permanent For further information and application forms, residents of a country in North America. write to William J. LeVeque, Executive Director, Twenty-six Research Fellowships have been American Mathematical Society, P.O. Box 6248, awarded including one granted for 1983-1984 Providence, Rhode Island 02940. and one for 1982-1983 (see the announcements in the April 1983 Notices, pages 304-305, and The Pierre Robillard Award 1984 in the April 1982 issue, page 247). The number of fellowships awarded depends on the The objective of this award is to recognize contributions the Society receives. The Society the best Ph.D. thesis defended at a Canadian contributes a minumum of $9,000 to the Fund university in 1983 and written in a field covered each year, matching one-half of the funds in by The Canadian Journal of Statistics. Submitted excess of $18,000 raised from other sources, up theses will be evaluated by a panel of judges to a total contribution by the Society of $20,000. appointed by the President of the Statistical Each member of the Society is requested to Society of Canada. Judging 'will be on the basis of contribute to the fund. the level of originality in the ideas and techniques, Contributions to the AMS Research Fellow the possible applications and their treatment, and ship Fund are tax deductible. Checks should the potential impact on the statistical sciences. be made payable to the American Mathematical The award consists of a certificate, a monetary Society, clearly marked "AMS Research Fellow prize, and a free one-year membership in the ship Fund," and sent to the American Mathe Statistical Society of Canada. The winner will matical Society, Post Office Box 1571, Annex be invited to present a communication based on Station, Providence, Rhode Island 02901. the thesis at the 1984 annual meeting of the

763 isometric imbeddings. The lectures, which are study. Awards will not be made in professions open to the public, have been established by his such as medicine, law, or social work, or in such sons to honor William H. Roever, Professor of areas as educational administration, curriculum Mathematics at Washington University from 1908 supervision, or personnel and guidance. Tenure until his death in 1951, and Chairman of the of fellowship provides postdoctoral research ex Department of Mathematics from 1932-1944. perience at an appropriate nonprofit institution of the Fellow's choice, such as a research univer NRC Announces sity, government laboratory, national laboratory, 1984-1985 Minority Fellowships privately-sponsored nonprofit institute, or a center for advanced study. The National Research Council (NRC) plans The deadline for the submission of applications to award approximately thirty-five Postdoctoral is January 16, 1984; awards will be announced Fellowships for Minorities in a program designed in mid-March 1984. Further information and to provide opportunities for continued education application materials may be obtained from the and experience in research to American Indians Fellowship Office, National Research Council, and Alaskan Natives (Eskimo or Aleut), Black 2101 Constitution Avenue, Washington, D.C. Americans, Mexican Americans/Chicanos, and 20418. -NRC News Release Puerto Ricans. Fellowship recipients will be selected from among scientists, engineers, and Gubins Appointed SIAM Treasurer scholars in the humanities who show greatest promise of future achievement in academic re Samuel Gubins has been appointed Treasurer search and scholarship in higher education. of the Society for Industrial and Applied Mathe In this national competition sponsored by The matics (siAM), the Philadelphia-based, non-profit Ford Foundation, citizens of the United States scientific society with a worldwide membership of who are members of one of the designated minority applied mathematicians in business, government groups, who are preparing for or already engaged and academic careers. He is Senior Vice President in college or university teaching, and who hold and Treasurer of the Academy of Natural Sciences doctoral degrees may apply for a fellowship award of Philadelphia, a position he has held since of one year's duration. Stipends will be awarded 1981. Previously, he had been Vice President in two categories: Regular Postdoctoral, $20,000; for Finance and Treasurer of Haverford College, Senior Postdoctoral, $26,000. In addition, a travel where he also held the position of Chairman of allowance up to a maximum of $2,000 is allowed. the Department of Economics. He has taught Awards will be made in the areas of be economics at Haverford College, the Bryn Mawr havioral imd social sciences, humanities, engineer Graduate School of Social Work and Social Re ing sciences, mathematics, physical sciences, life search, and Goucher College. sciences, and for interdisciplinary programs of -SIAM News Release

Spectral Theory E. M. Dyn'kin, A constructive characterization of of Functions and Operators. II the classes of S. L. Sobolev and 0. V. Besov N. K. Nikol' skii, Editor S. V. Kislyakov, The Fourier coefficients of the boundary values of functions analytic in the disk Abstract and in the bidisk The papers comprising this collection arc devoted V. G. Kulakova, Positive projections in symmetric to the connections of spectral theory with the theory KB-spaces of functions of a complex variable. The classical V. V. Peller, An analogue of an inequality of problem of interpolation by uniformly convergent f. von Neumann, isometric dilation of contractions Fourier or Taylor series is illuminated, and imbedding and approximation by isometries in spaces of theorems dual to interpolation problems arc proved; measurable functions a constructive characterization of Besov and Sobolev S. V. Khrushchev, Men'shov's correction theorem and classes, well-known and widely used in analysis, is Gaussian processes given; an analogue of von Neumann's inequality is obtained by a combination of spectral theory meth 1980 Mathematics Subject Classifications: 42, 46, 47, 60, 30, and others ods, combinatorial constructions and complex analy Proceedings of the Steklov Institute sis; positive projections in Banach lattices are de Volume 155, viii+ 176 pages (soft cover) scribed. List price $52, institutional member $39, individual member $26 S. A. Vinogradov, A strengthening of Kolmogorov's ISBN 0-8218·3072-4; LC 80-11102 theorem on the conjugate function and interpola Publication date: August 1983 tion properties of convergent power series To order, please specify STEKL0/155N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

764 National Science Foundation News & Reports

NSF Mathematical Sciences NSF Minority Graduate Fellowships are avail Postdoctoral Research Fellowships able to students of minority groups under represented in the sciences, who may apply to Postdoctoral Research Fellowships in the math either or both of the graduate-level fellowship ematical sciences will be offered only to persons programs. Other eligibility requirements, stipends who 1) are U.S. citizens or nationals as of January and allowances for Minority Graduate Fellowships 1, 1984, 2) will have earned by the beginning of are the same as for the NSF Graduate Fellowship their fellowship tenure a doctoral degree in one program. of the mathematical sciences, 3) will have held North Atlantic Treaty Organization (NATO) the doctorate for no more than five years as of Postdoctoral Fellowships are awarded for ad January 1, 1984, and 4) will not previously have vanced study outside the U.S. in a country that held any other NSF postdoctoral fellowship. is either a member of or cooperating with NATO. Deadline for applications is November 15, 1983. These fellowships were established by NATO to All applications should be sent to the American advance science and technology and to promote Mathematical Society, P.O. Box 6248, Providence, closer collaboration among NATO nations. Each Rhode Island 02940. member country administers these fellowships for For information, contact Dr. Alvin Thaler, its own nationals; NSF administers this NATO Mathematical Sciences Section, National Science funded program in the U.S. at the request of the Foundation, 202-357-9764; or Dr. William J. Department of State. The fellowships provide a LeVeque, American Mathematical Society, 401- stipend of $1,500 per month for periods of tenure 272-9500. -NSF Bulletin up to 12 months. Limited travel support and dependency allowances are also provided. Competition for Three Program Information: Fellowship Programs NSF Graduate Fellowships Announcement (NSF 83-64) and application forms, now available; Ap The National Science Foundation (NSF) plans plication deadline, November 23, 1983; Award to award approximately 650 fellowships in the date, mid-March 1984. Copies of the announce spring of 1984 for advanced study to help ment and application materials are available from meet the continuing national need for qualified the Fellowship Office, National Research Coun scientific personnel. Included are 540 NSF cil, 2101 Constitution Avenue, Washington, DC Graduate Fellowships, 60 NSF Minority Graduate 20418; 202-334-2872. Fellowships, and up to 50 NATO Postdoctoral NSF Minority Graduate Fellowships Announce Fellowships. Application materials now are ment (NSF 83-65) and application forms, now available for all three programs. available; Application deadline, November 23, Competition for these fellowship awards is open 1983; Award date, mid-March 1984. Copies of to citizens and nationals of the United States. the announcement and application materials are Awards are made on the basis of merit for available from the Fellowship Office, National full-time graduate study in all fields of science, Research Council, 2101 Constitution Avenue, including interdisciplinary and multidisciplinary Washington, DC 20418; 202-334-2872. science areas. NATO Postdoctoral Fellowships Announcement NSF Graduate Fellowships are awarded for full (NSF 83-63) and application forms, now available; time study leading to a master's or doctoral Application deadline, November 8, 1983; Award degree in science and engineering, at any non date, late February 1984. profit United States or foreign institution of higher Copies of the announcement and application education offering advanced degrees in science or materials are available from the Fellowships Sec engineering. Fellows receive a stipend of $8,100 tion, Office of Scientific and Engineering Person for 12 months of tenure ($675 per month). A nel and Education, National Science Foundation, cost-of-education allowance of up to $4,900 per Washington, DC 20550; 202-357-7536. year is provided to the institution chosen by the -NSF News Release Fellow in lieu of tuition and fee charges. Graduate Fellowships are renewable for up to three years Graduate Fellowships for 1984-1985 subject to satisfactory academic progress and the availability of NSF funds. Application is limited to The National Research Council will again individuals with no more than 20 semester or 30 advise the National Science Foundation in the quarter hours credit of postbaccalaureate study in selection of candidates for the Foundation's science or engineering at the time of application. program of Graduate Fellowships. Panels of

765 eminent scientists and engineers appointed by of the United States at the time of applica the National Research Council will evaluate tion, and members of an ethnic minority group qualifications of applicants. Final selection of underrepresented in the advanced levels of the the Fellows will be made by the Foundation, with Nation's science talent pool-i.e., American In awards to be announced in March 1984. dian, Black, Hispanic, Native Alaskan (Eskimo or Eligibility in the NSF Graduate Fellowship Aleut), or Native Pacific Islander (Polynesian or Program is limited to those individuals who, Micronesian). at the time of application, have not completed Eligibility is limited to those individuals who, more than 20 semester hours (30 quarter hours), at the time of application, have not completed or equivalent, of study in any of the science more than 20 semester hours (30 quarter hours), and engineering fields listed below following or equivalent, of study in any of the science completion of their first baccalaureate degree in and engineering fields listed below following science or engineering. Subject to the availability completion of their first baccalaureate degree of funds, new fellowships awarded in March 1984 in science or engineering. Subject to the will be for maximum tenured periods of three availability of funds, new fellowships awarded years, the second and third years on certification in March 1984 will be for maximum tenured periods of three years, the second and third years to the Foundation by the fellowship institution contingent on certification to the Foundation of the student's satisfactory progress toward an by the fellowship institution of the student's advanced degree in science or engineering. satisfactory progress toward an advanced degree These fellowships will be awarded for study or in science or engineering. work leading to master's or doctoral degrees in the These fellowships will be awarded for study or mathematical, physical, biological, engineering, work leading to master's or doctoral degrees in the and social sciences, and in the history and mathematical, physical, biological, engineering, philosophy of science. Awards will not be and social sciences, and in the history and made in clinical, law, education, or business philosophy of science. Awards will not be fields, in history or social work, for work leading made in clinical, law, education, or business to medical, dental, or public health degrees, fields, in history or social work, for work leading or for study in joint science-professional degree to medical, dental, or public health degrees, programs. Applicants must be citizens of the or for study in joint science-professional degree United States, and will be judged on the basis of programs. Applicants will be judged on the ability. The annual stipend for Graduate Fellows basis of ability. The annual stipend for Minority will be $8,100 for a twelve-month tenure with no Graduate Fellows will be $8,100 for a twelve dependency allowances. month tenure with no dependency allowances. Applicants will be required to take the Graduate Applicants will be required to take the Graduate Record Examinations designed to test aptitude Record Examinations designed to test aptitude and scientific achievement. The examinations, and scientific achievement. The examinations, administered by the Educational Testing_Service, administered by the Educational Testing Service, will be given on December 10, 1983 at designated will be given on December 10, 1983 at designated centers throughout the United States and in centers throughout the United States and in certain foreign countries. certain foreign countries. The deadline for submission of applications for The deadline for submission of applications for NSF Graduate Fellowships is November 23, 1983. NSF Minority Graduate Fellowships is November Further information and application materials 23, 1983. Further information and application may be obtained from the Fellowship Office, materials may be obtained from the Fellowship National Research Council, 2101 Constitution Office, National Research Council, 2101 Constitu tion Avenue, Washington, DC 20418. Avenue, Washington, DC 20418. -NRC Release -NRC Release Minority Graduate Fellowships NATO Postdoctoral Fellowships for 1984-1985 The National Science Foundation (NSF) ad The National Research Council will again ad ministers the NATO Postdoctoral Fellowships Pro vise the National Science Foundation in the selec gram for U.S. citizens at the request of the U.S. tion of candidates for the Foundation's program of Department of State. Approximately fifty awards Minority Graduate Fellowships. Panels of eminent will be offered for further research and/or study scientists and engineers appointed by the National in the sciences at institutions outside the United Research Council will evaluate qualifications of States. These fellowships were established by fellowship candidates. Final selection of Fellows NATO to promote the progress of science and to will be made by the Foundation, with awards to promote closer collaboration among the scientists be announced in March 1984. of NATO nations. The NSF Minority Graduate Fellowship Pro These fellowships will be awarded for ap gram is open only to persons who are citizens propriate work in the mathematical, physical,

766 biological, engineering and social sciences, as well LENORE BLUM (Mills College), Randomness, as interdisciplinary areas comprised of two or complexity and finite dynamics, City Univer more of these fields. Awards will not be made sity of New York, Graduate Center; MARY in clinical, education or business fields, nor in ELLEN BocK (Purdue University), Problems in history, social work or public health. NATO statistical decision theory, Stanford University; Postdoctoral Fellowships in Science will be offered MARIANNE L. GARDNER (Worcester Polytech only to persons who are citizens or nationals of the nic Institute), Hidden generalized networks, Mas United States as of the closing date for applica sachusetts Institute of Technology; MARLIES tions, will have earned by the beginning of their GERBER (Indiana University), Construction of fellowship tenures a Ph.D. in one of the fields of examples in smooth ergodic theory, Mathe science listed above or have had research training matical Sciences Research Institute, Berkeley; and experience equivalent to that represented by ELOISE HAMANN (Elmhurst College), Problems a Ph.D. in one of those fields, and will have held in commutative algebra, Northwestern University; the doctorate for no more than five years as of MELANIE L. LENARD (Boston University), Op the closing date for applications. Women and timization models in decision support systems, minority scientists who meet the eligibility criteria University of California, Los Angeles; TILLA K. are specifically encouraged to apply. MILNOR (Rutgers University), Surfaces in space A Fellow may elect a full-time tenure of 9 to times, University of Maryland; CoRA SADOSKY 12 months; in no case may it be less than 6 nor (Howatd University), Weighted inequalities and more than 12 months. The tenure of a Fellowship moment problems, Institute for Advanced Study; may be interrupted, but no single period of tenure and KAREN VoGTMANN (Columbia University), may be less than 4 months. A recipient of a Cohomology of linear groups over rings of imagi postdoctoral fellowship in this competition must nary quadratic integers, Cornell University. begin tenure by September 1985. The total time from date of award to termination of the fellowship may not exceed 30 months. The stipend for a NATO Postdoctoral Fellow is $1,500 per month for up to 12 months. Algebraic K-theory and Limited travel support and a monthly dependency allowance of S100 per dependent, up to three, are Localised Stable Homotopy Theory available. Victor P. Snaith The application deadline is November 8, 1983, Abstract and awards will be announced in late February This paper continues the theme initiated in [Mem. 1984. Amer. Math. Soc. (1979), number 221]. There is a For copies of the announcement (NSF 83-63) homomorphism from the stable homotopy of the and application materials, contact NATO Fellow classifying space of the group of units in a ring to its algebraic K-theory. When the ring has enough ship Program Office, Division of Scientific Person roots of unity a "Bott element" exists in these nel Improvement, National Science Foundation, groups (taken with coefficients). We compute the Washington, DC 20550; 202-282-7154. groups obtained by inverting the Bott element. This computation, in successively more elaborate guises, NSF Awards Visiting is used, in conjunction with the homomorphism mentioned above, to construct algebraic K-theory Professorships for Women classes and to give upper bounds on K-theory with the Bott element inverted. The National Science Foundation (NSF) has 1980 Mathematics Subject Classifications: 55N15, 18F25, announced thirty-two awards designed to help 55P42 make full use of the Nation's scientific and tech Memoirs of the American Mathematical Society nical resources by encouraging women to develop Memoir Number 280, xii + 108 pages (soft cover) List price $11, institutional member $9, careers in science and engineering research. individual member $6 The awards, called Visiting Professorships for ISBN 0-8218-2280-2; LC 83-3726 Women, total nearly 12 million and will enable Publication date: May 1983 experienced women scientists and engineers to To order, please specify MEM0/280N participate in the research and teaching programs Prepayment is required for all AMS publications. of a host institution. The visiting professors will Order from AMS, PO Box 1571, Annex Station, also serve as advisors and counselors to students and provide encouragement to other women to Providence, Rl 02901, or call 800-556-7774 pursue careers in science. Among the recipients to charge with VISA or MasterCard. are ten mathematical scientists. These scientists, their fields of study and the institutions they will attend are as follows: JENNIFER J. ANDERSON (Boston University), Empirical Bayes estimation with applications in health care financing, Harvard University;

767 AMS Election 1983 Candidates

OFFICERS President-elect* Irving Kaplansky Vice President (two to be elected) PROCEEDINGS OF THE Paul J. Cohen Jacob T. Schwartz STEKLOV INSTITUTE E. R. Kolchin Stephen Smale (ISSN 0081-5438) Jlssoeiate Secretaries* The Geometry of Robert M. Fossum Hugo Rossi Positive Quadratic Forms Ryskov, Editor Member-at-large of the Council (five to be elected) s. s. Contents William K. Allard Carl R. Riehm E. P. BaranovskiT, The Selling reduction domain of Michael G. Crandall Jean E. Taylor positive quadratic forms in five variables David Eisenbud William P. Thurston N. M. Vet~inkin, Uniqueness of the classes of positive Carlos E. Kenig Jonathan M. Wahl quadratic forms on which the values of the Her Dusa McDuff Floyd L. Williams mite constants are attained for 6 < n < 8 N. A. Grigor' ev, Regular simplices inscribed in a cube Board of Trustees (one to be elected) and Hadamard matrices Theodore W. Gamelin Paul J. Sally, Jr. I. S. Gucul, On compact three-dimensional manifolds Committee to Monitor Problems of constant negative curvature in Communication* N. V. Zaharova, Centerings of 8-dimensionallattices that preserve a frame of successive minima Marian B. Pour-El Lynn A. Steen M. D. Kovalev, On a characteristic property of the Publication Committees* disk Z. D. Lomakina, The Voronoi polyhedron ll(n) for American Journal of n = 5 and maximal finite groups of integral 5 x 5 Mathematics Richard B. Melrose matrices Bulletin Hyman Bass V. S. Makarov, On a noncompact decomposition of Colloquium Barry Mazur ten-dimensional Lobachevsky space Mathematical Reviews Melvin Hochster V. S. Makarov and I. S. Gucul, On noncompact three Mathematical Surveys Gian-Carlo Rota dimensional manifolds of constant negative curva Mathematics of Walter Gautschi ture having finite measure Computation John E. Osborn K. P. Makarova, On points of selfintersection of a Proceedings Richard R. Goldberg geodesic on a smooth closed surface with a locally Lobachevsky metric Irwin Kra S. S. Ry~kov and M. D'l. Kon [M. j. Cohn) On the Daniel W. Stroock theory of the structure of the Minkowski reduc Transactions and Tilla Klotz Milnor tion region Memoirs Joel A. Smoller S. S. Ry~kov, M. D'l. Kon [M. j. Cohn) and Z. D. Lomakina, Vertices of the symmetrized Minkow NOMINJlTING COMMITTEE FOR 1984 ski region for n .;;; 5 A. T. Bharucha-Reid Tsit-Yuen Lam S. S. Ry~kov and Z. D. Lomakina, Proof of a theo John H. Ewing Robert P. Langlands rem on maximal finite groups of integral 5 x 5 Heini Halberstam Barry Simon matrices E. G. Horvat [Jeni::i Horvath) On close lattice packing Alistair H. Lachlan Harold M. Stark of unit spheres in the space En S. S. Su~baev, On the Rankin-Sobolev probler,J on the multidimensional zeta function (estimating the *Uncontested offices. origin of the ray of extrema/ity of the principal perfect form) 1980 Mathematics Subject Classifications: OS, 10, 51, 52 and others Proceedings of the Steklov Institute Volume 152, vi + 258 pages (soft cover) List price $84, institutional member $63, Individual member $42 ISBN 0-8218-3070-8; LC 82-24328 Publication date: December 1982 To order, please specify STEKLOil 52N

Prepayment is required for all AMS publications. Order from AMS, PO Box 1571, Annex Station, Providence, Rl 02901, or call 800-556-7774 to charge with VISA or MasterCard.

768 Louisville Meetings, January 25-28, 1984 Second Announcement

The January 1984 Joint Mathematics Meetings, 90th Annual Meeting of the AMS including the 90th Annual Meeting of the AMS January 25-28, 1984 and the 67th Annual Meeting of the Mathematical Association of America will be held January 25- Fifty-seventh Josiah Willard Gibbs Lecture 28 (Wednesday-Saturday), 1984, in Louisville, Kentucky. The meetings will be preceded by the The 1984 Gibbs lecture will be presented at 8:30 AMS Short Course on January 23-24 (Monday p.m. on Wednesday, January 25, by HERBERT A. Tuesday), 1984. Sessions will take place in the SIMON of Carnegie-Mellon University. Professor Commonwealth Convention Center and the Hyatt Simon will speak on Computer programs that Regency Louisville. model the process of scientific and mathematical discovery. The members of the Local Arrangements Committee are W. Wistar Comfort (ex-officio), Colloquium Lectures Roger H. Geeslin (publicity director), Thomas L. There will be a series of four Colloquium Holloman, William J. LeVeque (ex-officio), David Lectures presented by BARRY MAzuR of Harvard P. O'Toole, David P. Roselle (ex-officio), Richard University. The title of this lecture series is On Werle, and W. Wiley Williams {chairman). the arithmetic of curves. The lectures will be given at 1:00 p.m. daily, Wednesday through Saturday, January 25-28. WHERE TO FIND IT PAGE BOcher Prize PREREGISTRATION AND HOUSING 770, 771 The 1984 BOcher Memorial Prize will be ANNUAL MEETING OF THE AMS 769 awarded at 4:00 p.m. on Thursday, January 26. Gibbs Lecture, Colloquium Lectures, Prizes, Invited Addresses, Special Sessions, Contributed Invited Addresses Papers, Other AMS Sessions, Council and By invitation of the Program Committee, there Business Meetings will be eight invited one-hour addresses. The AMS SHORT COURSE 773 names of the speakers, their affiliations, the dates EMPLOYMENT REGISTER 787 and times of their talks, and their titles follow: ANNUAL MEETING OF THE MAA 77 4 GuNNAR CARLSSON, University of Califor Retiring Presidential Address, Invited nia, San Diego, Segal's Burnside ring conjec Addresses, Minicourses, Other MAA Sessions, ture, 2:15 p.m. Wednesday; PERSI DIACONIS, Business Meeting, Board of Governors OTHER ORGANIZATIONS 775 A~,NAM,NSF,~C TIMETABLE 779 OTHER EVENTS OF INTEREST 776 Book Sales, Exhibits, MATHFILE, Petition Table ACCOMMODATIONS 777 Hotels REGISTRATION AT THE MEETINGS 780 Fees, Dates and Times, Services MISCELLANEOUS INFORMATION 784 Child Care, Local Information, Parking, Social Event, Travel, Weather MAP 778

IMPORTANT DEADLINES AMS Abatracts, For consideration for special sessions Expired or contributed papers November 2 Employment Register (Applicants & Employers) December 5 Preregistration and Housing December 5 Motions for AMS Business Meeting December 27 Preregistration cancellations (50% refund) January 22 Dues eredit for nonmembers/students February 29

Herbert A. Simon, Gibbs Lecturer

769 Preregistration

Preregistration. Preregistration for these A $4 charge will be imposed for all invoices meetings must be completed by December 5, prepared when Preregistration/Housing forms are 1983. Those wishing to preregister must complete submitted without accompanying check(s) for the the form which appears at the back of this preregistration fee(s) and room deposits, or are issue and submit it together with the appropriate accompanied by art amount insufficient to cover preregistration fee(s) to the Mathematics Meetings the total fee(s). Preregistration/Housing forms Housing Bureau in Providence by December 5. received well before the deadline of December 5 which are not accompanied by correct payment will Preregistration fees do not represent an advance be returned to the participant with a request for deposit for lodgings. One must, however, preregister resubmission and full payment. for the meetings in ·order to obtain confirmed A 50 percent refund of the preregistration fee(s) hotel accommodations through the Mathematics will be made for all cancellations received in Meetings Housing Bureau, as outlined on the facing Providence no later than January 22. No page. refunds will be granted for cancellations As stated in the section titled Housing, all received alter that date, or to persons who do requests for hotel accommodations must be ac not attend the meetings. companied by one night's room deposit for each The only exception to this rule is someone who room requested. A separate check made out preregisters for the Joint Mathematics Meetings to the Louisville Convention and Visitors Bureau only in order to attend an MAA Minicourse, and and/or a major credit card number for this deposit is too late to obtain a slot in the Minicourse. must accompany the Preregistration/Housing form In this case, full refunds will be made of the should housing be required. Joint Mathematics Meetings preregistration fee(s), provided the preregistrant has cheeked the box Checks for preregistration fees should be made on the Preregistration/Housing form that this was payable to the AMS: Canadian checks must be his or her intent. Individuals who preregister for marked for payment in U.S. funds. Those who both the Joint Meetings and a Minicourse and who preregister for the Joint Mathematics Meetings pay intend to attend the Joint Meetings, even if the fees which are 30 percent lower than those who Minicourse is not available, should, of course, not register at the meetings. The preregistration fees check the box on the Preregistration/Housing form. are as follows: In this case the Joint Meetings preregistration will AMS Short Course be processed. Those who wish to preregister for the Employ Student/Unemployed $ 5 ment Register should read carefully the special All Others $25 article titled "Mathematical Sciences Employment Joint Mathematics Meetings Register" which follows this announcement of the Member of AMS, MAA $47 Louisville meetings. The attention of applicants Emeritus Member of AMS, MAA $12 is particularly directed to the box regarding the Nonmember $71 December issue of Employment Information in Student/Unemployed $12 the Mathematical Sciences. Employer, Employment Register $50 Those who preregister for the AMS Short Course Applicant, Employment Register no charge will be able to pick up their badges and other material in Louisville after 11:00 a.m. on Monday, MAA Minicourses (payable at meeting) $20 each January 23, during the hours that the AMS Short There will be no extra charge for members of Course registration desk is open. the families of registered participants, except that Those who preregister for either the Joint all professional mathematicians who wish to attend Mathematics Meetings or the MAA Minicourses or sessions must register independently. both will be able to pick up their badges and All full-time students currently working toward other material in Louisville after 4:00 p.m. on a degree or diploma qualify for the student Tuesday, January 24, during the hours the Joint registration fees, regardless of income. Mathematics Meetings registration desk is open. The unemployed status refers to any person cur Please read the facing page titled Housing care rently unemployed, actively seeking employment, fully before completing the Preregistration/Housing form. and who is not a student. It is not intended to include any person who has voluntarily resigned or N.B.: Place your AMS or MAA mailing label retired from his or her latest position. on the Preregistration/Housing form where The emeritus status refers to any person who indicated. If you do not have a label has been a member of the AMS or MAA for twenty readily available, please supply complete name, years or more, and is retired on account of age from address, and AMS or MAA member code. his or her latest position.

770 Housing

Mathematics Meetings Housing Bureau. The Bureau, or give you a room outside of the block, Preregistration/Housing form for requesting hotel which may be at a higher rate. accommodations will be found at the back of The number of rc;~oms being held by the Louisville this issue. Use of the services offered by the hotels at each rate is limited. Housing assignments Mathematics Meetings Housing Bureau requires are made on a first-come, first-served basis, so preregistration for the meetings. Persons desiring participants desiring low-cost accommodations are confirmed hotel accommodations should complete urged to get their housing requests in as early as the form, or a reasonable facsimile, and send it to possible. Participants should also be aware that the Mathematics Meetings Housing Bureau, Post the special rates being offered in the section titled Office Box 6887, Providence, Rhode Island 02940, Hotels may not be available after December 5. so that it will arrive no later than December 5, Housing requests received after the deadline of 1983. December 5 most surely cannot be honored. Please read carefully the section on Hotels before Participants are strongly urged to rank every completing the form. Forms sent to the wrong hotel on the housing form in the order of preference, address and thus incurring delay in delivery to the and circle the type of room and the rate desired. Housing Bureau until after the deadline cannot be Reservations will be made in accordance with accepted and will, therefore, be returned. preferences indicated on the reservation form insofar The Mathematics Meetings Housing Bureau as this is possible. Participants who rank only a has initiated a new policy whereby participants few of the hotels may find themselves assigned to requesting hotel accommodations in Louisville a hotel which is not satisfactory. If not all hotels are required to submit housing deposits when are ranked, and all rooms have been filled at the preregistering. Each deposit must be equal to ranked hotels, the assignment will be made at an the daily room rate for each room requested, and unranked hotel with the next lowest rate. may be submitted either by personal check (made Participants who are able to do so are urged to out to the Louisville Convention and Visitors share a room whenever possible as this procedure Bureau) and/or a major credit card as indicated in can be economically beneficial. The housing form the last column of the housing form. The method should be fully completed to ensure proper assign of payment differs with each of the participating ment of rooms. Participants planning to share hotels, and careful attention must be given to these accommodations should provide the name(s) of the requirements when submitting deposits. Please do person(s) with whom they plan to occupy a room. not include housing deposits in the same cheek Each participant should, however, complete a with preregistration fees. separate Preregistration/Housing form. In order to Since requirements vary from hotel to hotel, avoid confusion or disappointment, parties planning participants will be informed if there is a difference to share rooms should send their forms together in in the amount of the deposit submitted and the rate the same envelope. of the room actually assigned. N.B.: Participants Please make all changes to or cancellations of will receive an acknowledgement of their room hotel reservations with the Housing Bureau in deposits from the Louisville Convention and Providence before January 15, 1984, by calling Visitors Bureau followed by a confirmation of 401-272-9500, extension 239. After that date, their room reservations from the hotel to whieh changes or cancellations should be made with they have been assigned. the Louisville Convention and Visitors Bureau by All reservation requests must be received in calling 502-584-2144. writing and be processed through the Housing Please read the facing page titled Preregis Bureau in Providence. Telephone requests will not tration carefully before completing the Preregistra be accepted. Please do not contact the hotels tion/Housing form. directly. Blocks of rooms and special rates have been set aside for the Housing Bureau, and the Please be sure to send housing deposits with hotel will either refer you back to the Housing Preregistration/Housing form. .------N.B.: Place your AMS or MAA mailing label on the Preregistration/Housing form where indicated. If you do not have a label readily available, please supply complete name, address, and AMS or MAA member eode.

771 Foia§, John Heywood, Jong Uhm Kim, John Neu, John Reeder, Michael Renardy, Marvin Shinbrot, and Bruce Thrkington. Function theoretic operator theory, JoHN B. CONWAY, Indiana University, Wednesday morning and afternoon. Jim Agler, Sheldon Axler, Hari Bercovici, Scott Brown, Kevin F. Clancey, John B. Conway, Carl Cowen, Jim Dudziak, William Helton, Thomas L. Kriete ill, C. R. Putnam, Jim Thomson, Tavan Trent, and Charles Voas. Random walks on finite groups, PERSI DIACONIS, Stanford University, Thursday morn ing. David Aldous, Fan Chung, Persi Diaconis, Leo Flatto, Ron Graham, and Mehrdad Shah shahani. Ordered algebraic structures, ANDREW M. W. GLASS, Bowling Green State University, Thursday morning, Friday and Saturday afternoons. P. F. Conrad, M. Darnel, J. Dauns, T. Evans, A. W. Hager, M. Henriksen, M. Huss, S. Larson, J. T. Lloyd, J. J. Madden, J. Martinez, S. H. McCleary, F. Point, W. B. Powell, A. H. Rhemtulla, S. Steinberg, and C. Tsinakis. Vector field systems and control, HENRY HERMES, University of Colorado, Boulder, and HECTOR SussMANN, Rutgers University, Wednes Barry Mazur, Colloquium Lecturer day morning and afternoon, and Friday afternoon. S. Albrecht, William Boothby, Alberto Bressan, Stanford University, Card shuifiing and group R. Brockett, M. Freeman, R. Gardner, K. Grasse, representations, 2:15 p.m. Friday; SIMON K. Robert Grossman, Henry Hermes, R. Hirschorn, DoNALDSON, The Mathematical Institute, Ox R. Hunt, V. Jurdjevic, A. Krener, A. Lundell, ford, England, The Yang-Mills equations as a Antonio Sanchez, E. Sontag, H. Sussmann, and non-linear Hodge theory, 9:00 a.m. Wednesday; William Shadwick. ROBERT D. MACPHERSON, Brown University, Partial differential operators, MARK A. KoN, Intersection homology and some applications, 2:15 p.m. Saturday; ANDREW MAJDA, University of Boston University, Wednesday morning and California, Berkeley, Vorticity and fluid dynamics, afternoon, and Friday afternoon. Harold E. Ben 9:00a.m. Thursday; M. SusAN MONTGOMERY, zinger, Thomas Branson, Rene Carmona, Paul University of Southern California, Group actions R. Chernoff, Jeffrey M. Cooper, Allen Devinatz, on rings and generalized inner automorphisms, Jerome A. Goldstein, David Gurarie, Evans M. 3:30 p.m. Friday; LEON SIMON, Australian Na Harrell, Robert N. Hill, Rhonda J. Hughes, Ger tional University, Some recent results concerning hard K. Kalish, Ian W. Knowles, Richard B. minimal surfaces, 3:30 p.m. Wednesday; and Lavine, Stephen Paneitz, A. G. Ramm, and RoBERT E. TARJAN, Bell Laboratories, Murray Clasine van Winter. Hill, Design and analysis of self-adjusting data Partial differential equations and optimal con structures, 10:15 a.m. Wednesday. trol problems, SuzANNE M. LENHART, University Special Sessions of Tennessee, Wednesday, Friday, and Saturday afternoons. J. Baras, S. A. Belbas, G. Blanken By invitation of the same cominittee, there ship, M. Chipot, G. Diaz, L. C. Evans, R. Jensen, will be twelve special sessions of selected twenty K. Loparo, R. Rishel, M. Robin, S. Shreve, P. minute papers. The topics of these special sessions, the tentative days they will meet, the names and Souganidis, A. Sulem. affiliations of the mathematicians arranging them, Ring theory, M. SusAN MONTGOMERY, Univer and some partial lists of anticipated speakers are sity of Southern California, and LANCE SMALL, as follows: University of California, San Diego, Wednesday Homotopy theory, DoNALD W. ANDERSON, and morning and afternoon and Thursday morning. GuNNAR CARLSSON, University of California, M. Cohen, J. Fisher, Joel K. Haack, A. Heinicke, San Diego, Wednesday and Thursday morning, I. N. Herstein, Leonid Makar-Limanov, W. S. and Friday afternoon. E. Friedlander, Nick Kuhn, Martindale ill, D. S. Passman, A. Regev, R. Ben Mann, H. Miller, and R. Thomason. Resco, M. K. Smith, and R. Snider. Incompressible fluid flow, J. THOMAS BEALE, Commutative algebra, IRA J. P APICK, Univer Duke University, Wednesday, Friday, and Satur sity of Missouri, Columbia, Wednesday morning day afternoons. Charles Amick, Petre Constan and afternoon and Thursday morning. Dan tine, Ronald DiPerna, Avron Douglis, Ciprian Anderson, David Anderson, Luchezar Avramov,

772 American Mathematical Society Short Course Series Introductory Survey Lectures on Mathematics of Information Processing Louisville, Kentucky, January 23-24, 1984

The American Mathematical Society, in conjunction with its ninetieth annual meeting, will present a one and one-half day short course titled Mathematics of Information Processing on Monday afternoon and Tuesday morning and afternoon, January 23 and 24, 1984, at the Hyatt Regency Louisville. The program is under the direction of Michael Anshel of CUNY, City College, and William Gewirtz of Bell Laboratories, Holmdel. The course will cover a number of areas in which mathematical techniques have led to a deeper understanding of Information Processing. The earliest applications of mathematics were in the design and analysis of algorithms and in the modeling of systems performance. Motivated by the challenge to use effectively the capabilities resulting from dramatically increased system capacity, multi-programming, parallel processing, and distributed computing environments, mathematics continues to play an important role in the design and analysis of computer systems. While mathematical logic and related disciplines have traditionally been intimately related to the foundations of computing, areas of more practical application have arisen in recent years. Specifically, in the area of database systems, both database languages and database design techniques have seen important applications of mathematical logic and related subjects. Synopses of the talks and accompanying reading lists appeared on pages 661-662 of the October 1983 Notices. The course will consist of six lectures. Fan R. K. Chung (Bell Laboratories, Murray Hill) will speak about the diameters of communication networks; Hector Garcia-Molina (Princeton University) about transaction management; Barry E. Jacobs (University of Maryland) about fundamental database issues; Victor S. Miller (mM, Yorktown Heights) about compression algorithms; Avgustin Tuzhilin (CUNY, City College at Staten Island) about applications of category theory of structural sets to information systems and Moshe Y. Vardi (IBM, San Jose) about the theory of data dependencies. Time will be allocated for summarizing and integrating the material presented in the lectures. The short course is open to all who wish to participate upon payment of the registration fee. There are reduced fees for students and unemployed individuals. Please refer to the pages titled Preregistration and Housing and the section on Registration at the Meetings for details. The short course was recommended by the Society's Committee on Employment and Educational Policy, whose members are Lida K. Barrett, Lisl Novak Gaal, Irwin Kra, Robert W. McKelvey, Donald C. Rung (chairman), and Barnet M. Weinstock. The short course series is under the direction of the CEEP Short Course Subcommittee, whose members are Stefan A. Burr (chairman), Lisl Novak Gaal, Robert W. McKelvey, Cathleen S. Morawetz, Barbara L. Osofsky, and Philip D. Straffin, Jr.

773 James Brewer, Doug Costa, Paul Eakin, E. who is to vote at a meeting is thereby identifying Graham Evans, Jr., Richard Fedder, Robert himself as and claiming to be a member of the Gilmer, Sarah Glaz, William Heinzer, Melvin American Mathematical Society. For additional Hochster, Evan Houston, James Huckaba, Craig information on the Business Meeting, please refer Huneke, Ming-chang Kang, Andrew Kustin, David to the box titled Committee on the Agenda for Lantz, Bernd Ulrich, and Wolmer Vasconcelos. Business Meetings. fll-posed problems, WILLIAM L. PERRY, Texas A & M University, Wednesday morning and 67th Annual Meeting of the MAA afternoon and Friday afternoon. J. R. Cannon, January 26-28, 1984 P. DuChateau, C. W. Groetsch, F. A. Griinbaum, D. Lee, Sung L. Lee, H. A. Levine, M. Madych, J. McLaughlin, M. Z. Nashed, R. Newton, L. Retiring Presidential Address Payne, W. Rundell, R. Showalter, L. A. Shepp, RICHARD D. ANDERSON, Louisiana State W. Symes, and M. Vogelius. University, Baton Rouge, will deliver his Retiring Semigroup theory, W. WILEY WILLIAMS, Presidential Address on Reflections on the mys University of Louisville, Thursday morning, tique of R. L. Moore at 9:00a.m. on Saturday, Friday and Saturday afternoon. D. R. Brown, January 28. E. Byleen, H. Cohen, M. P. Drazin, C. Eberhart, J. M. Howie, P. R. Jones, Y. Kobayashi, R. J. Invited Addresses Koch, G. Lallement, K. D. Magill, B. Madison, R. There will be seven invited fifty-Ininute ad Oehmke, Mohan S. Puchta, N. R. Reilly, B. M. dresses. The list of speakers, their affiliations, Schein, J. Stepp, and W. Williams. the dates and times of their talks, and their titles October 12 was the deadline for submission of follow: abstracts for consideration for inclusion in these special sessions. Committee on the Agenda for Business Meetings Contributed Papers The Society has a Cominittee on the Agenda There will be sessions for contributed papers for Business Meetings. The purpose is to make Wednesday morning and afternoon, Thursday Business Meetings orderly and effective. The morning, Friday afternoon, and Saturday after committee does not have legal or administrative noon. Abstracts should be prepared on the power. It is intended that the committee standard AMS form available from the AMS office consider what may be called "quasi-political" in Providence or in departments of mathematics, motions. The committee has several possible and should be sent to the American Mathematical courses of action on a proposed motion, includ Society, Post Office Box 6248, Providence, Rhode ing but not restricted to Island 02940, so as to arrive by the abstract (a) doing nothing; deadline of November 2. Members are reininded (b) conferring with supporters and opponents that a charge of $12 is imposed for retyping to arrive at a mutually accepted amended abstracts that are not in camera-ready form. version to be circulated in advance of the Late papers will not be accepted. meeting; Other AMS Sessions (c) recommending and planning a format for debate to suggest to a Business Meeting; AMS Committee on Employment (d) recommending referral to a cominittee; and Educational Policy (e) recommending debate followed by referral A Panel Discussion, moderated by LIDA K. to a committee. BARRETT, on the supply of mathematical science There is no mechanism that requires researchers in the 1990's will be held from 4:30 automatic subinission of a motion to the com p.m. to 6:00p.m. on Friday, January 27. Inittee. However, if a motion has not been Council Meeting submitted through the cominittee, it may be The Council of the Society will meet at 2:00 thought reasonable by a Business Meeting to p.m. on Tuesday, January 24, in the Hyatt refer it rather than to act on it without benefit Regency Louisville. of the advice of the committee. The committee consists of Everett Pitcher Business Meeting (chairman), Marian B. Pour-El, David A. The Business Meeting of the Society will take Sanchez, and Guido L. Weiss. place immediately following the award of the In order that a motion for the Business BOcher Prize at 4:00p.m. on Thursday, January Meeting of January 26, 1984 receive the service 26. The secretary notes the following resolution of offered by the cominittee in the most effective the Council: Each person who attends a Business manner, it should be in the hands of the Meeting of the Society shall be willing and able secretary by December 27, 1983. to identify himself as a member of the Society. In Everett Pitcher, Secretary further explanation, it is noted that each person

774 hour prior to the Minicourse to see if any openings Minicourses have occurred. Minicourse #1: Linear programming, H the only reason for registering for the Joint CHARLES E. HAFF, University of Waterloo. Meetings is to gain admission to a Minicourse, this Minicourse #2: Discrete algorithmic math should be indicated by cheeking the appropriate ematics, STEPHEN B. MAURER, Swarthmore box on the preregistration form. Then, if the College. minicourse is full, full refund can be made of the Joint Mathematics Meetings preregistration fees. Minicourse #3: Teaching problem solving, Otherwise, the Joint Meetings preregistration will ALAN H. SCHOENFELD, University of Rochester. be processed, and then be subject to the 50 Minicourse #4: Applications of discrete percent refund rule. mathematics, FRED S. RoBERTS, Rutgers University. Other MAA Sessions Minicourse #5: Problems from industry, There will be a Panel Discussion at 11:00 a.m. JEANNE L. AGNEW and MARVIN S. KEENER, on Friday, January 27. The moderator will be both of Oklahoma State University. JoAN LEITZEL of Ohio State University. The Minicourse #6: Applications of computer topic is Issues in remediation. graphics, JoAN WYZKOSKI, Bradley University. The Committee on Corporate Members will hold a session at 10:00 a.m. on Saturday, January Minicourse #7: CONDUIT microcomputer The moderator will be JERRY LYONS of software, DAVID A. SMITH, Duke University. 28. Prindle, Weber and Schmidt. The topic is Minicourse #8: NoncONDUIT microcomputer Mathematics publishing, copyright, and software. software, DAVID A. SMITH, Duke University. Two of the speakers will be Carol Rischer and Beta and gamma functions from Euler to Selberg Robert Sickles. and beyond, RICHARD A. AsKEY, University of There will be a Panel Discussion at 11:00 a.m. Wisconsin, 10:00 a.m., Saturday; Turning good on Saturday, January 28. The moderator will mathematics into good TV, DONALD BERMAN and be MARTHA SIEGEL of Towson State University. Ross L. FINNEY both of COMAP, noon, Saturday; The topic is Beginning integration: Calculus and Nonexpansive maps, ANDREW M. GLEASON, discrete mathematics in the first two years. Harvard University, 11:00 a.m. Saturday; The The Committee on Retraining for Computer computer as a grader, MELVIN MARON, University Sciences will hold a Panel Discussion at 3:30 p.m. on Saturday, January 28. The moderator of Louisville, 9:00 a.m., Friday; Mathematics will be DoNALD L. KREIDER of Dartmouth in industry-How do problems arise?, HENRY College. The topic is Progress report on the 0. PoLLAK, Central Staff Organization for Clarkson Institute for Retraining in Computer the Regional Bell Operating Companies, 10:00 Sciences Conducted Under the Auspices of the a.m., Friday; Some examples of combinatorial Joint ACM/MAA Committee on Retraining for averaging, HERBERT S. WILF, University of Computer Sciences. Pennsylvania, 9:00 a.m., Friday; Computational geometry: Paradigms and applications, FRANCES Business Meeting YAo, Xerox Corporation, 11:00 a.m., Friday. The Business Meeting of the MAA will take place at noon on Friday, January 27, at which Minicourses the 1984 Award for Distinguished Service, the The MAA will give eight Minicourses. Please Chauvenet Prize, and the Lester R. Ford Awards refer to the box titled Minicourses for titles and for expository writing will be presented. organizers. Board of Govemors The Minicourses are open only to persons The MAA Board of Governors will meet at 9:00 who have registered for the Joint Mathematics a.m. on Thursday, January 26. Meetings and paid the Joint Meetings registration Section Officers fee. There will be a Section Officers' meeting at 4:00 The Minicourses have separate registration fees p.m. on Friday, January 27. of $20 each, and are limited to 30 participants each. Payment of the fee(s) must be made to ACTMTIES OF OTHER ORGANIZATIONS the Minicourse Cashier at the meeting registra The Association for Women in Mathematics tion desk in Louisville two hours prior to the (AWM) will sponsor a Panel Discussion on Lipman beginning of the Minicourse or the reservation Bers, a mathematics mentor at 11:15 a.m. on will be relinquished to someone on the waiting Thursday, January 26. Speakers include Jane list. When making payment, the participant P. Gilman, Linda Keen (moderator), Irwin Kra, should present the confirmation to the cashier. Tilla Klotz Milnor, RubiE. Rodriguez, and Leslie "Standby'' reservation confirmations will be issued Sidnor. The AWM Business Meeting will follow to participants whose preregistration was received the Panel Discussion at 12:30 p.m. after the Minicourse was filled. These individuals A party is being planned for Thursday evening, should check with the Minicourse Cashier one January 26.

775 The fifth annual AWM Emmy Noether Lecture will be given at 10:00 a.m. on Friday, January Petition Table 27, by MARY ELLEN RuDIN. Her title is At the request of the AMS Committee on Paracompactness. Human Rights of Mathematicians, a table will The National Association of Mathematicians be made available in the meeting registration (NAM) will receive the William W. S. Claytor area at which petitions on behalf of named Lecture at 10:15 a.m. on Thursday, January individual mathematicians suffering from human 26, from A. T. BHARUCHA-REID, who will speak rights violations may be displayed and signed by on Some notions and applications in probability meeting participants acting in their individual theory-numerical methods. capacities. NAM will sponsor a Panel Discussion titled Signs of moderate size may be displayed at Some approaches for providing computer literacy the table, but must not represent that the case for students in small colleges and universities of the individual in question is backed by the at 11:15 a.m. on Friday, January 27. The list Committee on Human Rights unless it has, in of speakers includes Melvis Atkinson, Samuel fact, so voted. Volunteers may be present at H. Douglas (moderator), Henry L. Hardy, John the table to provide information on individual Harris, and Nelloise Watkins. cases, but notice must be sent at least seven (7) The NAM Business Meeting will take place at days in advance of the meeting to the Meetings 1:30 p.m. on Friday, January 27. Department in Providence (telephone 401-272- The National Science Foundation (NSF) will 9500). Since space is limited, it may also be sponsor an address on Thursday, January 26 at necessary to limit the number of volunteers 2:15 p.m. The speaker is JUDITH S. SuNLEY, present at the table at any one time. The Acting Head of the Mathematical Sciences Section Committee on Human Rights may delegate a of NSF; her title is The Mathematical Sciences at person to be present at the table at any or all the National Science Foundation. times, taking precedence over other volunteers. The NSF will again be represented at a booth Any material which is not a petition (e.g., in the exhibit area. NSF staff members will be advertisements, resumes) will be removed by the available to provide counsel and information on staff. When registration doses, any material NSF programs of interest to mathematicians from on the table will be disearded, so individuals 9:00 a.m. to 5:00 p.m., Thursday and Friday, placing petitions on the table should be sure to January 26-27. remove them prior to the dose of registration. The Roeky Mountain Mathematics Consortium Thursday and Friday; and from 9:00 a.m. to noon (RMMC) will sponsor a symposium on The on Saturday. All participants are encouraged to mathematics of large scale simulation at 2:15 visit the exhibits during the meeting. Participants p.m. on Friday, January 27. visiting the exhibits will be asked to display their The RMMC Board of Directors will meet at 2:00 meeting badge in order to enter the exhibit area. p.m. on Thursday, January 26. MATHFll..E OTHER EVENTS OF INTEREST MATHFILE, the computerized version of Math ematical Reviews, will be demonstrated in the Book Sales exhibit area during regular registration hours. Books published by the AMS and MAA will be Sample literature searches on material published sold for cash prices somewhat below the usual in MR since 1973 will be performed on request, prices when these same books are sold by mail. with printed results available in minutes. These discounts will be available only to registered MATHFILE is available through two U.S. on participants wearing the official meeting badge. line vendors, BRS and DIALOG. In addition, the VrsA and MASTERCARD credit cards will be European vendors SAMSOM Data Systemen and accepted for book sale purchases at the meeting. the European Space Agency (ESA) will offer MATH The book sales will be open the same days FILE, with access from the U.S. at comparable and hours as the Joint Mathematics Meetings telecommunication rates. registration desk (except on Saturday, January Rare 28, when they will close at 2:00 p.m.) and are Book Exhibit located in Exhibit Space C of the Commonwealth The University of Louisville (Belknap Campus) Convention Center. will mount an exhibition of rare books from the William Marshall Bullitt Collection of Math Exhibits ematics and Astronomy in the Department of The book and educational media exhibits are Rare Books on the ground floor of the Ekstrom located in Exhibit Space C of the Commonwealth Library. The library is approximately 20 blocks Convention Center and will be open Wednesday, south of the Commonwealth Convention Center, January 25, through Saturday, January 28. The off Third Street. Directions for reaching the exhibits will be open from 1:00 p.m. to 5:00 p.m. university campus can be obtained at the Local on Wednesday; from 9:00 a.m. to 5:00 p.m. on Information Section of the meetings registration

776 desk. Those interested are invited to view the balance due; however, if a personal cheek will be exhibition between 9:00 a.m. and 6:00 p.m., used at time of check-out, it must be cleared three Wednesday through Friday. days prior to departure. ACCOMMODATIONS Howard Johnson's (4) 100 East Jefferson Street Louisville, Kentucky 40202 Hotels Telephone: 502-582-2481 (8 minutes) Please read the page on Housing carefully for Singles $38 information on hotel deposits, which are now Doubles $44 required. Twin Doubles $44 Triples $50 Quads $56 The rates listed below are subject to a 5 Personal cheeks, travelers' checks, and major percent sales tax and a 4.2 percent occupancy credit cards will_ be accepted for room deposits tax. The number after the name of the hotel and payment of balance due. is the number it carries on the map. The estimated walking distance from the hotel to the Hyatt Regency Louisville (7) Commonwealth Convention Center is given in 320 West Jefferson Street parentheses following the telephone number. Louisville, Kentucky 40202 Reservations at these hotels cannot be made by Telephone: 502-587-3434 (2 minutes) calling the hotel directly until after January 15, Singles $50 1984. Also, after that date, the rates below may Double $59 not apply. Twin/Twin Doubles $59 In all cases "single" refers to one person in Triples $67 one bed; "double" refers to two persons in one Quads $74 bed; "twin" refers to two persons in two single Personal checks and major credit cards will beds; and "twin double" refers to two persons in be accepted for room deposits and payment of two double beds. A rollaway cot for an extra balance due; however, if a personal cheek is person can be added to double or twin rooms used, it must be accompanied by credit card only; however, not all hotels are willing to do so. identification. Please make all changes to or cancellations of The Louisville fun (9) hotel reservations with the Mathematics Meetings 120 West Broadway before January 15, Housing Bureau in Providence Louisville, Kentucky 40202 1984. The telephone number in Providence is Telephone: 502-582-2241 (15 minutes) 401-272-9500 (extension 239). After that date, changes or cancellations should be made with Singles $38 the Louisville Convention and Visitors Bureau by Twin/Twin Double $46 calling 502-584-2144. Triples $52 Quads $58 Best Western-Midtown (5) Parlor /Bedroom $85 200 E. Liberty Louisville, Kentucky 40202 Transportation to the Commonwealth Conven Telephone: 502-589-6410 (11 minutes) tion Center will be available upon request at no charge. Singles $25 and major credit cards will Twin Double $31 Personal cheeks Triples $35 be accepted for room deposits and payment of Quads $39 balance due; however, if a personal cheek is used, it must be accompanied by credit card Personal checks and major credit cards will be accepted for room deposits and payment of identification. balance due; travelers' checks will also be accepted Rodeway fun (3) at time of check-out. 101 East Jefferson Street Louisville, Kentucky 40202 Galt House (2) Telephone: 502-585-2200 (8 minutes) On the River at Fourth Louisville, Kentucky 40202 Singles $43 Telephone: 502-589-5200 ( 4 minutes) Double $49 Singles $40 Twin Doubles $49 Doubles $43 Triples $49 Twin Double $43 Quads $49 Triples $46 Transportation to the Commonwealth Conven Quads $48 tion Center will be available upon request at no Parlor Suite $110 charge. Personal checks and major credit cards will Personal cheeks and major credit cards will be accepted for room deposits and payment of be accepted for room deposits and payment of

777 1. Commonwealth Convention Center 6. Louisville TraveLodge 2. Galt House 7. Hyatt Regency Louisville 3. Rodeway Inn 8. Seelbach Hotel 4. Howard Johnson's 9. The Louisville Inn 5. Best Western-Midtown

718 TIMETABLE

The purpose of this timetable is to provide assistance to registrants in the selection of arrival and departure dates. The program, as outlined below, is based on information available at press time.

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

MONDAY, January 23 MATHEMATICS OF INFORMATION PROCESSING

11:00 a.m. - 4:00 p.m. REGISTRATION 2:00p.m. - 3:00p.m. Fundamental database issues Barry E. Jacobs 3:30p.m.- 4:30p.m. Theory of data dependencies Moshe Y. Vardi 4:45 p.m. - 5:15 p.m. General Discussion

TUESDAY, January 24

8:00a.m.- 2:00p.m. REGISTRATION 9:00 a.m. - 10:00 a.m. The diameters of communication networks Fan R. K. Chung 10:30 a.m. - 11:30 a.m. Compression algorithms Victor s. Miller 1:30 p.m. - 2:30 p.m. Applications of category theory of structural sets to information systems A vgustin Tuzhilin 3:00 p.m. - 4:00 p.m. Transaction management Hector Garcia-Molina 4:15 p.m. - 4:45 p.m. General Discussion

JOINT MATHEMATICS MEETINGS

TUESDAY, January 24 American Mathematical Society Mathematical Association of America 2:00 p.m. - 10:00 p.m. COUNCIL MEETING I 4:00p.m.- 8:00p.m. REGISTRATION 4:00 p.m. - 8:00p.m. AMS BOOK SALE MAA BOOK SALE

WEDNESDAY, January 25 AMS Mathematical Association of America

8:00a.m.- 5:00p.m. REGISTRATION 8:00a.m.- 5:00p.m. AMS BOOK SALE MAA BOOK SALE morning Special Sessions Sessions for Contributed Papers 9:00a.m. - 10:00 a.m. INVITED ADDRESS The Yang-Mills equations as a non-linear Hodge theory Simon K. Donaldson 10:15 a.m. - 11:15 a.m. INVITED ADDRESS Design and analysis of self-adjusting data structures Robert E. Tarjan 1:00 p.m. - 2:00 p.m. COLLOQillUM LECTURE I On the arithmetic of curves Barry Mazur 1:00 p.m. - 5:00p.m. EXHIDITS afternoon Special Sessions Sessions for Contributed Papers 2:15p.m. - 3:15p.m. INVITED ADDRESS Segal's Burnside ring conjecture Gunnar Carlsson

779 balance due; however, if a personal cheek or Registration at the Meetings travelers' cheek is used at time of check-out, it must be accompanied by credit card identification. Meeting preregistration and registration fees Seelbach Hotel (8) only partially cover expenses of holding meetings. who wish to attend sessions 500 Fourth Avenue All mathematicians are expected to register, and should be prepared Louisville, Kentucky 40202 to show their meeting badge, if so requested. 502-585-3200 (4 minutes) Telephone: The fees for Joint Meetings registration at the Singles $48 meeting (listed below) are 30 percent more than Doubles $54 the preregistration fees. Twin/Twin Doubles $54 Triples $60 Joint Mathematics Meetings Quads $66 Member of AMS, MAA $61 One-bedroom suite $100 Emeritus Member of AMS, MAA $15 Two-bedroom suite $250 Nonmember $93 Personal cheeks, American Express and VrsA Student/Unemployed $15 credit cards will be accepted in payment of room Employment Register deposits; balance due is payable on cheek-out Employer $75 in cash, major credit cards or travelers' checks. Applicant No charge Personal cheeks will be accepted at cheek-out AMS Short Course subject to prior approval. Student/Unemployed $10 Louisville TraveLodge (6) All Other Participants $30 401 South Second Street One-day Fee (Second Day Only) $15 Louisville, Kentucky 40202 MAA Minicourses #1 through #8 Telephone: 502-583-2841 (10 minutes) All Participants $20 each Singles $33 Registration fees may be paid at the meetings Doubles $38 in cash, by personal or travelers' check, or by VrsA Twin Doubles $43 or MASTERCARD credit card. Canadian checks Triples $48 must be marked for payment in U.S. funds. Quads $53 There is no extra charge for members of the No personal cheeks will be accepted as payment families of registered participants, except that all for room deposit or balance of room charges; professional mathematicians who wish to attend however, all major credit cards, money orders, sessions must register independently. and travelers' cheeks will be honored. All full-time students currently working toward or diploma qualify for the student The AMS-MAA Joint Meetings Committee al a degree of income. ways endeavors to obtain the lowest possible registration fees, regardless sleeping room rates for participants at annual The unemployed status refers to any person meetings. The Committee is also responsible currently unemployed, actively seeking employ for maintaining a sound fiscal position for these ment, and who is not a student. It is not intended meetings, and, until recently, has been able to to include any person who has voluntarily resigned keep the deficits at a reasonable level, while still or retired from his or her latest position. providing the very best meeting facilities available Persons who qualify for emeritus membership in to the participants. either the Society or the Association may register The emeritus status As the meetings have grown in scope and at the emeritus member rate. has been a member of complexity over the years, however, it has been refers to any person who years or more, and is necessary to find larger facilities with more and the AMS or MAA for twenty from his or her latest more session rooms. For this reason, the meetings retired on account of age in Louisville will take place in the Commonwealth position. Convention Center. Unfortunately, the cost of Nonmembers who register at the meetings this excellent facility is higher than can be covered and pay the $93 nonmember registration fee are by the registration fees, and the Committee has entitled to a discount of the difference between the arranged for most of the hotels in Louisville member registration fee of $61 and the nonmember to collect an extra $3 per room per night from registration fee of $93 as a $32 credit against dues participants, which will be used to offset the rental in either the AMS or MAA or both, provided they cost of the Center. (The rates above include this apply for membership before February 29, 1984. extra charge where applicable.) The Committee Nonmember students who register at the hopes that these extra funds will not be necessary meetings and pay the $15 registration fee are at future annual meetings, and therefore chose entitled to a discount of the difference between this method over an increase in the registration the student preregistration fee of $12 and the fees. registration fee of $15 as a $3 credit against dues

780 TIMETABLE

WEDJ\'ESDAY, January 25 AMS Mathematical Association of America 3:30p.m. - 4:30p.m. INVITED ADDRESS Some recent results concerning minimal surfaces Leon Simon 8:30p.m. - 9:30 p.m. JOSIAH WILLARD GIBBS LECTURE Computer programs that model the process of scientific and mathematical discovery Herbert A. Simon

Mathematical Association of America THURSDAY, January 26 AMS and Other Organizations 8:00a.m. - 4:00p.m. REGISTRATION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE MAA BOOK SALE morning Special Sessions Sessions for Contributed Papers 8:30 a.m. - 10:30 a.m. MAA - MINICOURSE #2 Discrete algorithmic mathematics StephenB. Maurer 9:00a.m. - 9:30a.m. EMPLOYMENT REGISTER ORIENTATION SESSION 9:00a.m. - 10:00 a.m. INVITED ADDRESS Vorticity and fluid dynamics Andrew lllajda 9:00a.m. - 4:00 p.m. MAA - BOARD OF GOVERNORS' MEETING 9:00a.m. - 5:00p.m. EXHIBITS 9:30a.m. - 4:00p.m. EMPLOYMENT REGISTER REGISTRATION 10:15 a.m. - 11:15 a.m. National Association of Mathematicians William W. S. Claytor Lecture Some notions and applications in probability theory-numerical methods A. T. Bharucha-Reid 11:15 a.m. - 12:30 p.m. Association for Women in Mathematics Panel Discussion Lipman Bers, a mathematics mentor Jane P. Gilman Linda Keen (moderator) Irwin Kra Tilla h.'1otz Milnor RubiE. Rodriguez Leslie Sidnor 12:30 p.m. - 12:55 p.m. AWM - BUSINESS MEETING 1:00 p.m. - 2:00 p.m. COLLOQUIUl\I LECTURE II On the arithmetic of curves Barry Mazur 2:00p.m. - 4:00 p.m. Rocky Mountain Mathematics Consortium Board of Directors' Meeting 2:00p.m. - 4:00p.m. MAA- MINICOURSE #1 Linear programming Charles E. Haff 2:15 p.m. - 3:15 p.m. The Mathematical Sciences at the National Science Foundation Judith S. Sunley, NSF 4:00p.m. - 6:00p.m. B6CHER PRIZE SESSION AND BUSINESS MEETING I 6:05 p.m. AWM- PARTY 7:00 p.m. - 10:00 p.m. Joint Concerns Committee for Mathematics A National Meeting of Department Chairman

781 Louisville Meetings SuperPhone Exelusive 800-556-6882 A DELTA US61R. FLY TO LOUISVILLE WITH DELTA OR USAIR AND SAVE Delta and USAir, the two major carriers to Louisville, are making special round trip air fares available to the Joint Mathematics Meetings in Louisville, Kentucky, January 23-28, 1984. Delta is offering a 30 percent discount on full round-trip coach fares. This special fare requires departure between January 23 and 27. Reservations and ticketing must be done at least seven days in advance and a maximum stay of 15 days will be permitted. USAir is offering an unrestricted Super Saver fare to any participant purchasing tickets on its airline at least fourteen days in advance. Other fares will, of course, still be available after the fourteen-day limitation. These special offers are available ONLY through the Louisville Meeting SuperPhone Exclusive. Call SuperPhone toll-free today-800-556-6882-and save!!

(In Rhode Island and outside the Continental U.S. call401-884-9500.) Hours of Operation: 9:00a.m. to 7:00p.m. EST, Monday through Thursday, Fridays until6:00 p.m. Where discounts exceed 30 percent, they will be provided automatically through SuperPhone's FARE CHECK system. in either the AMS or MAA or both, provided they phases of the meeting are welcome. If a written reply apply for membership before February 29, 1984. is desired, participants should furnish their name and Nonmembers and nonmember students who address. thus qualify may apply for membership at the Participants with problems of an immediate nature meetings, or by mail afterward up to the deadline. requiring action at the meeting should see the meeting manager, who will try to assist them. Dates and Times Audio-Visual Assistance AMS Short Course A member of the AMS/MAA staff will be available Prefunction Room, Regency Ballroom South to advise or consult with speakers on their audio Hyatt Regency Louisville visual requirements. Monday, January 23 11:00 a.m. to 4:00p.m. Rooms where special sessions and contributed Tuesday, January 24 8:00a.m. to 2:00p.m. paper sessions will be held will be equipped with an Joint Mathematics Meetings overhead projector and screen. Blackboards will not [and MAA Minicourses (until filled)] be available. Main Lobby, Commonwealth Convention Center Baggage and Coat Cheek Tuesday, January 24 4:00 p.m. to 8:00 p.m. Information on this service will be available later. Wednesday, January 25 8:00 a.m. to 5:00 p.m. Cheek Cashing Thursday, January 26, through 8:00 a.m. to 4:00 p.m. The meeting c8shier will cash personal or travelers' Saturday, January 28 checks up to $50, upon presentation of the official meeting registration badge, provided there is enough Registration Desk Services cash on hand. Canadian checks must be marked for payment in U.S. funds. AMS/MAA Information Loeallnformation Information on the publications and activities of This section of the desk will be staffed by both organizations may be obtained at this section of members of the Local Arrangements Committee and the registration desk. other volunteers from the Louisville mathematical community. Assistance, Comments and Complaints Lost and Found A log for registering participants' comments or complaints about the meeting is kept at the Trans See the meeting cashier. parencies section of the registration desk. All Mail participants are encouraged to use this method of All mail and telegrams for persons attending the helping to improve future meetings. Comments on all meetings should be addressed to the participant,

782 TIMETABlE

Mathematical Association of America THURSDAY, January 26 AMS and other Organizations 7:30p.m. - 9:30p.m. MAA - MINICOURSE #2 Discrete algorithmic mathematics Stephen B. Maurer

Mathematical Association of America FRIDAY, January 27 AMS and Other Organizations

8:00a.m. - 10:00 a.m. MAA - MINICOURSE #3 Teaching problem solving Alan H. Schoenfeld 8:00a.m. - 10:00 a.m. MAA -MINICOURSE #7 CONDUIT microcomputer software David A. Smith 8:00a.m. - 4:00 p.m. REGISTRATION 8:00a.m. - 4:00 p.m. AMS BOOK SALE I MAA BOOK SALE 9:00 a.m. - 5:00p.m. EXHffiiTS 9:00a.m. EMPWYMENT REGISTER DISTRffiUTION OF SCHEDULES 9:00 a.m. - 9:50a.m. MAA - INVITED ADDRESS Some examples of combinatorial averaging Herbert S. Wilf 9:00 a.m. - 9:50a.m. MAA - INVITED ADDRESS The computer as a grader Melvin Maron 9:30a.m. - 5:30p.m. EMPLOYMENT REGISTER INTERVIEWS 10:00 a.m. - 10:50 a.m. AWM- Emmy Noether Lecture Paracompactness Mary Ellen Rudin 10:00 a.m. - 10:50 a.m. MAA - INVITED ADDRESS Mathematics in industry-How do problems arise? Henry 0. Pollak 10:00 a.m. - noon MAA - MINICOURSE #8 NonCONDUIT microcomputer software David A. Smith 11:00 a.m. - 11:50 a.m. MAA - Panel Discussion Issues in remediation Joan Leitzel (moderator) 11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Computational geometry: Paradigms and applications Frances Yao 11:15 a.m. - 12:30 p.m. NAM - Panel Discussion Some approaches for providing computer literacy for students in small colleges and universities Melvis Atkinson Samuel H. Douglas (moderator) Henry L. Hardy John Harris Nelloise Watkins neon - 12:50 p.m. MAA - BUSINESS MEETING 1:00 p.m. - 2:00p.m. COLLOQUIUM LECTURE ffi On the al.'ithmetic of curves Barry Mazur 1:00 p.m. - 3:00p.m. MAA - MINICOURSE #5 Problems from industry Jeanne L. Agnew Marvin S. Keener

783 c/o Joint Mathematics Meetings, Commonwealth downtown hotels will want to take advantage of the Convention Center, 221 Fourth Avenue, Louisville, many shops in this area. Kentucky 40202. Mail and telegrams so addressed Louisville's museums include the J. B. Speed Art may be picked up at the mailbox in the registration Museum, the Museum of History and Science, the area during the hours the registration desk is open. Howard Steamboat Museum and the Kentucky Derby U.S. mail not picked up will be forwarded after Museum at Churchhill Downs. The performing arts the meeting to the mailing address given on the can be seen at Actors Theatre, Kentucky Center participant's registration record. for the Arts, Macauley Theatre, and the Louisville Personal Messages Palace. Information on these and other points of visitor interest will be available at the Local Participants wishing to exchange messages during Information section of the registration desk. the meeting should use the mailbox mentioned above. Message pads and pencils are provided. It is regret Parking ted that such messages left in the box cannot be Parking lots within a few blocks of the Common forwarded to participants after the meeting is over. wealth Convention Center charge from 35 cents to Telephone Messages 75 cents for one hour (50 cents median); twenty-four hour parking ranges from $1 to $3.50 ($3 median). A telephone message center is located in the The Hyatt Regency has its own parking garage at registration area to receive incoming calls for Third Street and River City Mall at a daily charge participants. The center is open from January of $3. This garage is also available for patrons of the 25 through 28 only, during the hours that the Commonwealth Convention Center. Joint Mathematics Meetings registration desk is open. Messages will be taken and the name of any The Galt House has a 600-car parking lot which individual for whom a message has been received will guests can use at no charge, with in and out be posted until the message has been picked up at privileges. the message center. The telephone number of the Social Events message center will be announced later. The Local Arrangements Committee has arranged Transparencies a no-host cocktail party for Friday, January 27, from 7:00 to 9:00 p.m., in the Regency Ballroom North at Speakers wishing to prepare transparencies in the Hyatt Regency Louisville. advance of their talk will find the necessary materials and copying machines at this section of Travel the registration desk. A member of the staff will In January, Louisville is on Eastern Standard assist and advise speakers on the best procedures and Time. There is regular airline service to Standiford methods for preparation of their material. There is a Field by several major airlines. modest charge for these materials. The airport in Louisville is approximately four Visual Index miles from downtown and the trip takes about ten minutes. The airport limousine stops at the major An alphabetical list of registered participants, downtown hotels, and runs every forty-five minutes including local addresses, arrival and departure dates, from 7:00 a.m. until 11:00 p.m. daily. Present cost is maintained in the registration area. is $3.75 per person. A taxi from the airport to a MISCELLANEOUS INFORMATION downtown hotel costs about $8.50, plus 30 cents for each additional passenger one way. There is bus Child Care service provided by Transit Authority of River City We Sit Better, Inc., offers professional babysitting (TARO) on bus #2 from the airport to downtown, in hotel rooms. Day or evening service is available. with the fare varying between 35 cents and 60 cents Their present rate is minimum wage for a minimum depending on the hour of the day. Most major car of four hours, plus $3 carfare. Please notify them as rental agencies maintain desks at the airport. far in advance as possible. For more information call Louisville can be reached by car via 1-65 from the 502-583-9618. Many of the listed hotels will arrange North and South, 1-64 from the East and West, and for a babysitter if given enough prior notice. 1-71 from the Northeast. Local Information There is no passenger train service into Louisville; however, Greyhound and Trailways Bus Lines serve Taxis presently cost $1.90 for the first mile and $1 the Louisville area. for each additional mile. Each additional person is charged 30 cents extra, as long as they go from the Weather same pickup point to the same destination. Fares Louisville is located on the south bank of the from the airport to downtown hotels should average Ohio River. The climate, while continental in $9. The Transit Authority of River City (TARO) type, is of a variable nature because of its position operates buses throughout the area. The fee is 60 in the midlatitudes. The winters are moderately cents during peak hours (6:30-8:30 a.m. and 3:30- cold with temperatures rarely below O"F. The mean 5:30 p.m.) and 35 cents for nonpeak hours. temperature in January is 34°F while the average A section of Fourth Avenue has been turned into a high temperature in January is 42°F and the average Galleria and pedestrian mall. Participants staying in low temperature is 2SOF. On rare occasions the

784 TIMETABLE

Mathematical Association of America FRIDAY, January 27 AMS and Other Organizations

1:00 p.m. - 3:00p.m. MAA - MINICOURSE #6 Applications of computer graphics Joan Wyzkoski 1:30 p.m. - 2:30p.m. NAM - Business Meeting afternoon Special Sessions Sessions for Contributed Papers 2:00p.m. - 4:00p.m. MAA- MINICOURSE #1 Linear programming Charles E. Haff 2:00p.m. - 4:00p.m. MAA - MINICOURSE #4 Applications of discrete mathematics Fred S. Roberts 2:15p.m. - 3:15p.m. INVITED ADDRESS Card shuffling and group representations Persi Diaconis 2:15p.m. - 5:00p.m. RMMC - Symposium The mathematics of large scale simulation 3:30p.m. - 4:30p.m. INVITED ADDRESS Group actions on rings and generalized inner automorphisms M. Susan Montgomery 4:00 p.m. - 5:30 p.m. MAA - Section Officers' Meeting 4:30p.m. - 6:00p.m. Committee on Employment and Educational Policy Panel Discussion The supply of mathematical science researchers in the 1990's Lida K. Barrett (moderator) 7:00p.m. - 9:00p.m. NO-HOST COCKTAIL PARTY

SATURDAY, January 28 AMS Mathematical Association of America 8:00 a.m. - 2:00p.m. AMS BOOK SALE MAA BOOK SALE 8:00 a.m. - 4:00 p.m. REGISTRATION .9:00 a.m. - 9:50a.m. MAA - RETIRING PRESIDENTIAL ADDRESS Reflections on the mystique of R. L. Moore Richard D. Anderson 9:00 a.m. - 11:00 a.m. MAA - MINICOURSE #3 Teaching problem solving Alan H. Schoenfeld 9:00a.m. - 11:00 a.m. MAA - MINICOURSE #7 CONDUIT microcomputer software David A. Smith 9:00 a.m. - noon EXHIBITS 9:00a.m. EMPLOYMENT REGISTER DISTRIBUTION OF SCHEDULES 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 10:00 a.m. - 10:50 a.m. MAA - INVITED ADDRESS Beta and gamma functions from Euler to Selberg and beyond Richard A. Askey 10:00 a.m. - 10:50 a.m. MAA - Committee on Corporate Members SESSION on Mathematics publishing, copyright, and software Jerry Lyons (moderator) Carol Rischer Robert Sickles

785 TIMETABLE

SATURDAY, January 28 AMS Mathematical Association of America

11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Nonexpansive maps Andrew M. Gleason 11:00 a.m. - 12:50 p.m. MAA - Panel Discussion Beginning integration: Calculus and discrete mathematics in the first two years Martha Siegel (moderator) 11:00 a.m. - 1:00 p.m. MAA - MINICOURSE #8 NonCONDUIT microcomputer software David A. Smith noon - 12:50 p.m. MAA - INVITED ADDRESS Turning good mathematics into good TV Donald Berman Ross L. Finney 1:00p.m.- 2:00p.m. COLLOQUIUM LECTURE IV On the arithmetic of curves Barry Mazur afternoon Special Sessions Sessions for Contributed Papers 1:00 p.m. - 3:00p.m. MAA - MINICOURSE #5 Problems from industry Jeanne L. Agnew Marvin S. Keener 1:00 p.m. 3:00 p.m. MAA - MINICOURSE #6 Applications of computer graphics Joan Wyzkoski 2:00p.m. - 4:00p.m. MAA - MINICOURSE #4 Applications of discrete mathematics Fred S. Roberts 2:15 p.m. - 3:15 p.m. INVITED ADDRESS Intersection homology and some applications Robert D. MacPherson 3:30 p.m. - 5:30p.m. MAA Committee on Retraining for Computer Sciences - Panel Discussion Progress report on the Clarkson Institute for Retraining in Computer Sciences Conducted Under the Auspices of the Joint ACM/MAA Committee on Retraining for Computer Sciences Donald L. Kreider (moderator)

Continued from page 784 winters in Louisville are extreme both in temperature and snowfall. w. Wistar Comfort Middletown, Connecticut Associate Secretary

Important information on the Employment Register immediately follows.

786 Mathematical Sciences Employment Register January Meeting in Louisville The Mathematical Sciences Employment Register, held annually at the Joint Mathematics Meetings in January, provides opportunities for mathematical scientists seeking professional employment to meet employers who have positions to be filled. Job listings (or descriptions) and resumes prepared by employers and applicants are displayed for the participants so that members of each group may determine which members of the other group they would like to have an opportunity to interview. A computer program assigns the appointments, matching requests to the extent possible, using an algorithm which maximizes the number of interviews which can be scheduled subject to constraints determined by the number of time periods available, the numbers of applicants and employers, and the pattern of requests. The report below outlines the operation of the register, indicating some of the procedures involved for the benefit of those not familiar with its operation. The Mathematical Sciences Employment Register is apparently unique among employment services offered by professional organizations in the sciences, engineering and the humanities. The computer programs used are constructed around a matching program, devised by Donald R. Morrison and based on an algorithm described in his paper ''Matching Algorithms" in Journal of Combinatorial Theory, volume 6 (1969), pages 20 to 32; see also ''Matching Algorithms" (abstract) Notices, Auguat 1967, page 630. The number of interviews arranged by the program is significantly greater than the number possible at the employment registers of other organizations, in many cases greater by an order of magnitude. 1984 Employment Register in Louisville Saturday sessions must be submitted on Friday The Employment Register at the Louis before 4:00 p.m. ville meeting will take place in the Common On Friday and Saturday mornings at 9 a.m. all wealth Convention Center, Exhibit Space A, on schedules for applicants and employers for the day Thursday, Friday, and Saturday, January 26, 27, (both the morning and afternoon sessions) will be and 28, 1984. A short (optional) orientation available for distribution in the Commonwealth session will be conducted by the AMS-MAA-SIAM Convention Center, Exhibit Space A. Committee on Employment Opportunities at 9:00 The Saturday afternoon session is the annual a.m. on Thursday, January 26. The purpose of the "employers' choice" session. For this session orientation session is to familiarize participants interviews will be scheduled on the basis of with the operation of the Register and with the requests made by employers. Applicants do not various forms involved. Following orientation, submit specific interview requests for this session; participants of the Employment Register can pick but, in order to participate they must indicate up their interview request forms. Computer their availability for the session by filing the scheduled interviews will be held on Friday and Interview Request Form for Saturday, indicating Saturday, January 27 and 28. No interviews will that they will attend the afternoon session that be held on Thursday. day. Request Forms for the "employers' choice" Fifteen-minute intervals are allowed for inter session must be submitted by 4:00 p.m. on Friday views, including two or three minutes between suc in order for the interviews to be scheduled for cessive interviews. The interviews are scheduled in Saturday afternoon. half-day sessions: Friday morning and afternoon, Applicants should be aware of the fact that and Saturday morning and afternoon, amounting interviews arranged by the Employment Register to four half-day sessions for interviews. There are represent only an initial contact with employers, ten time periods (9:30-11:45 a.m.) in which in and that hiring decisions are not ordinarily made terviews can be scheduled in the morning sessions during or immediately following such interviews. and fourteen time periods (1:15-5:00 p.m.) in the Applicants are advised to bring a number of copies afternoon sessions. It is possible that an applicant of their vitae or resumes 80 that they may leave or employer may be scheduled for the maximum them with prospeetive employers. number of interviews in a session. The scheduling All participants in the Employment Register program gives priority to your first six requests. are required to register for the Joint Mathematics The remaining requests will be accommodated Meetings. For applicants there is no additional depending on the availability of participants. The fee for participation in the Employment Register. scheduling program does not have a provision The preregistration deadline is December 5, allowing participants to specify particular times 1983. for interviews beyond the choice of session (day, For employers, additional fees for participation and morning or afternoon). Such requests cannot in the Employment Register are S50, if paid be accommodated. before the December 5 deadline for Joint Meetings Requests for interviews to take place during preregistration, or S75 if paid at the meeting. the two sessions on Friday must be submitted Employers who wish to participate in the on Thunday between 9:30 a.m. and 4:00 p.m. Register and who have neither preregistered Requests for interviews to take place during the nor paid the Employment Register fee must go

787 December Issue of Employment Information in the Mathematical Seienees

For several years the periodical Employment Preparation of Applieants' Resumes Information in the Mathematical Sciences (ElMS) for the December issue of ElMS has published six issues per year listing open The December issue of ElMS will be printed using positions in academic, governmental and industrial photographic reproductions of Forms completed and organizations, primarily in North America, along submitted by applicants. For this reason, special with a few listings from countries in other parts care must be exercised by those who prepare the of the world. ElMS is a joint project of the American Mathematical Society, the Mathematical Forms in order to assure that the results are of good Association of America, and the Society for quality, and will be clear and legible after they have Industrial and Applied Mathematics. It is published been photographed, reduced in size, and printed. by the Society. Because an employer's first impressions of an The December issue of ElMS contains resumes of applicant are likely to be based on the appearance persons seeking professional positions in the math of the printed Form, applicants are strongly advised ematical sciences. Resumes of applicants taking to study the suggestions given below very carefully part in the January 1984 Mathematical Sciences before the forms are filled out, so that the original Employment Register at the Joint Mathematics copy will be neither marred nor damaged. Meetings in Louisville will be included in the The Forms must be carefully typed using a new December 1983 issue provided both that they are black ribbon. The best results are obtained by received before the December 5 deadline specified using a modern typewriter with a carbon-coated below and are in satisfactory condition. Other polyethylene film ribbon, but satisfactory results mathematical scientists who wish to be included may be obtained with a ribbon made of nylon or may have their resumes printed if the same deadline other woven fabric if suitable care is exercised. It is is observed and if the copy supplied meets the same important that the keys be clean and make a sharp technical requirements, described below. clear impression, which must be a uniform dark Copies of the December issue of ElMS will black; gray, blue, or other colors will not reproduce be distributed both to subscribers and to the and should, therefore, not be used. Do not use an employers who participate in the Mathematical eraser, as it will cause smudges which reproduce Sciences Employment Register at the Joint Mathe when photographed. Use a correcting typewriter, matics Meetings in Louisville in January 1984. Job or correction tape or fluid, if necessary. applicants planning to participate in the Employ Only an original copy of the Form should be ment Register in Louisville are therefore strongly submitted, a photocopy or xerographic reproduction urged to preregister so that their resumes can will not reproduce as well and may not be accepted appear in the December issue. for publication. It is therefore important to Applicants who will participate in the Employ exercise care in order to assure that the results are ment Register in Louisville and wish to have their satisfactory. The timetable for production of the resumes included in the December issue of Employ December issue will not permit poor copy received ment Information in the Mathematical Sciences should after the first week of December to be returned to complete both the special MSER Applicant Form applicants for correction or replacement. and the Preregistration and Housing Form at the Submission of copy of good quality is entirely back of this issue of the Notices. Both Forms must the responsibilty of the applicant. The Society be received in Providence by the December 5, 1983 (which will print this material) must be the final deadline. Forms received after the December 5 judge of what copy is capable of being reproduced deadline cannot be included in the printed booklet. adequately, and therefore of what is acceptable For details on registration and preregistration for for inclusion in the printed booklet. The Society the Louisville Joint Mathematics Meetings, please cannot undertake to correct or replace inadequate refer to the information on these subjects which copy, and cannot entertain requests to prepare may be found elsewhere in this issue of the Notices. original copy. In the event the quality of a Applicants for professional positions in the resume, submitted by an applicant participating mathematical sciences, who do not plan to attend in the Employment Register, does not meet the the meeting in Louisville and participate in the necessary conditions for inclusion in the December Employment Register there, may also submit issue, the resume will nonetheless be posted at resumes for publication in the December issue the Employment Register in Louisville, along with if they use the MSER Preregistration Form for those of the other participants. Applicants at the back of this issue of the Notices and observe the same deadline (December 5) as that for applicants who will be attending the meeting. (It is, of course, not necessary to preregister for the meeting if one is not going to attend the meeting. Resumes will not be posted if the participant is not attending the meeting.)

788 Preregistration Information for Mathematical Sciences Employment Register

MSER PREREGISTRATION - Employers indicate availability for the session in question, whether or not any specific interviews are to be Employers who plan to participate in the requested. Employment Register are urged to preregister for it. The MSER Preregistration Form for Employers MSER PREREGISTRATION - Applicants (which appears at the back of this issue of the Applicants planning to participate in the Employ Notices) should be submitted along with the Housing ment Register in Louisville are urged to preregister and Preregistration Form for the Joint Meetings. for it. The special Applicants Preregistration Form Deadline for receipt of both forms is December 5. for the Employment Register {which appears at Preregistration for the Employment Register, in the back of this issue of the Notices) should be addition to permitting inclusion in the printed lists, completed and submitted with the Housing and has the advantage of reduced fees and the services Preregistration Form for the Joint Mathematics of the Mathematics Meetings Housing Bureau, and Meetings prior to the deadline of December 5. has the further advantage of helping to reduce Applicants' resumes will be made available to waiting times at the meeting in Louisville. employers in printed form, so that they may Employers are encouraged to provide more than be studied carefully at leisure. The December one interviewer, when they are able to do so, in order issue of Employment Information in the Mathematical to increase the number of interviews which may be Sciences which will be printed a few weeks before scheduled. Please take care to indicate on the Form the Louisville meeting will contain photographic the number of interviewers for whom simultaneous reproductions of the resumes of applicants who interviews may be scheduled. {If all interviewers have preregistered by December 5. Forms not will be interviewing for the same position, or for received in time cannot be included in the issue. the same set of positions, only one form should be Applicants {as well as others planning to attend submitted and only one employer code number will the Joint Meetings) should note that those who be assigned; therefore, each interviewer would then preregister well in advance of the final deadline receive a separate computer schedule and separate have access to a wider selection of accomodations, table number.) More than one employer code will including, in particular, those in the lower price be required if some interviewers will not interview range, which {being in limited supply) tend to be for all positions. Thus, if there are two disjoint exhausted early in the preregistration process. sets of positions, two forms are required and two The deadline for receipt of applicant forms to be employer codes will be assigned. included in the December issue of ElMS is Deeember A coded strip summarizes the information on 5. They must be accompanied by the Housing each Form; it appears at the bottom of the Form. and Preregistration Form, since registration for the Employers' job listings will be posted at the meeting, Joint Meetings is a prerequisite for registration for so that applicants may study them when choosing the Employment Register. The special forms for which employers they wish to interview. All the Employment Register, as well as the Housing employers are required to complete the Summary and Preregistration Form for the Joint Meetings, Strip. The strip provides an abbreviated version of appear at the back of this issue of the Notices. the information on the Form and is used to prepare Applicants who preregister for the Employment a computer-printed list of preregistered employers Register may pick up their MSER material anytime for distribution to the applicants, called the Winter after 9:30 a.m. on Thursday, January 26, 1984, in List of Employers. the Commonwealth Convention Center, Exhibit Employers who have preregistered must pick Space A. Interview Request Forms must be up their MSER material in the Commonwealth submitted the day before interviews are to be Convention Center, Exhibit Space A, after 9:30 scheduled; applicants who fail to submit the Form a.m. on Thursday, January 26, 1984, and must before the 4:00 p.m. deadline on the previous day, submit an interview request form by 4:00 p.m. in cannot be included in the pool of participants order to reeeive a computer printed schedule for available for interviews on the day in question. The tbe following day. This form is handed out at forms are given out the day before the interviews the meeting only. This is not the form that is to be completed and returned. These are not the submitted with preregistration. forms that are submitted with preregistration. In order for interviews to be scheduled on one day, the Employer's Interview Request Form must be submitted by the 4:00 p.m. deadline on the previous day; it will not be possible to assign any interviews to employers who do not submit the Request Forms in good time even if they choose not to identify particular applicants to be interviewed. Submission of the form is required in order to

789 to the Joint Mathematics Meetings registration List of Applicants. The resumes themselves will desk in the Main Lobby of the Commonwealth be posted at the site of the· Register in addition to Convention Center in order to complete their the resumes of those who register at the meeting. registration. Registration for the Joint Meetings Additional copies of the December Issue of ElMS is required to use the Employment Register and both the summary Winter Lists (of Applicants facilities. (No provision will be made to and of Employers) will be available for sale at handle cash transactions at the site of the the AMS Book Sale at the meeting, as long as Employment Register in the Commonwealth supplies last. Prices at the meeting are $2 each for Convention Center, Exhibit Space A.) the summary lists and $3 for the December issue. Employers and applicants who have completed Any copies remaining after the meeting will be registration for the Employment Register, and available from the Providence office of the Society employers and applicants who have preregistered, for $3 and $6, respectively. (Attention is called may pick up their MSER material after 9:30 a.m. to the fact that the December issue of ElMS will on Thursday, January 26, in the Commonwealth contain the Winter List of Applicants, but will Convention Center, Exhibit Space A, where the not contain the Winter List of Employers.) Employment Register will be held. All who The Winter List of Employers consists of wish to have interviews scheduled for Friday or summaries of the position listings submitted by Saturday, must submit their Interview Request the employers who preregistered for the meeting; Forms on the preceding day by 4:00 p.m. Those it will be distributed without charge to the who fail to do so cannot be included in the applicants participating in the Register. Others pool of available participants when the matching may purchase the Winter List of Employers at program which schedules the interviews is run the AMS Book Sale at the meeting or from the on the computer that night. This applies both Providence office later, as long as the supply lasts. to preregistered employers and applicants, and to (See previous paragraph for prices.) those registering at the meeting. The Mathematical Sciences Employment These forms are given to participants at the Register is sponsored by the American Mathe meeting. These are not the forms that are matical Society, the Mathematical Association of completed with preregistration. America, and the Society for Industrial and Ap Employers who do not plan to attend the Em plied Mathematics; it is operated by members of ployment Register, but wish to display literature, the AMS staff under the general supervision of the may do so (subject to approval) at no charge, joint AMS-MAA-SIAM Committee on Employment provided all copies of the material to be displayed Opportunities. are received in the Providence Office (MSER, P. 0. Box 6248, Providence, RI 02940) no later than Preregistration Information may be found in an accompanying article in this issue of the December 5. Notices. Information on the December Issue of The MSER registration fee for employers covers Employment Information in the Mathematical the cost of a copy of the December Issue of Sciences, including specific suggestions for the Employment Information in the Mathematical proper preparation of material to be submitted Sciences (EIMS). This publication contains for publication in the December Issue, will also printed copies of the resumes of applicants who be. found in a separate article in this issue of preregistered prior to the December 5 deadline; the Notices. it also contains a copy of the summary Winter

Limiting Equations for Problems Involving Long Range Memory concrete classes of problems: nonlinear Volterra Moshe Marcus and Victor Mizel equations with autonomous kernel; a general family of nonlinear functional differential equations; and Asymptotic solution behavior and relevant limit nonlinear Volterra equations with nonautonomous equations are studied for a broad class of nonauton kernel. omous hereditary equations. These problems are pre- 1980 Mathematics Subject Classifications: 54 H20, 45005 sente d on a function space consisting of locally inte- 34K25, 45M05 ' grable functions defined on semi-axes of the rea Is, Memoirs of the American Mathematical Society and the operators occurring in the equations map Memoir Number 278, vi + 66 pages (soft cover) this function space into the space of continuous List price $9, institutional member $7, functions-in a 'nonanticipative' manner. The basic individual member $5 topological dynamic framework which is developed ISBN 0-8218·2278-0; LC 83-3752 Publication date: May 1983 is then employed in the detailed analysis of three To order, please specify MEM0/278N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station Providence, Rl 02901, or call toll free 800-556-7714 to charge with Visa or MasterCard. '

790 Notre Dame, April 6-7, 1984, University of Notre Dame First Announcement of the 810th Meeting

The eight hundred and tenth meeting of the prepared on the standard AMS form available from American Mathematical Society will be held at the the AMS office in Providence, or in departments University of Notre Dame, Notre Dame, Indiana, on of mathematics. Abstracts should be sent to the Friday and Saturday, April 6 and 7, 1984. Sessions American Mathematical Society, P. 0. Box 6248, will be held in the Notre Dame Center for Continuing Providence, Rhode Island 02940, so as to arrive Education. prior to the abstract deadline of February 1, 1984. Members are reminded that a charge of $12 is imposed Invited Addresses for retyping abstracts that are not in camera-ready By invitation of the 1983 Committee to Select form. Hour Speakers for Central Sectional Meetings there Council Meeting will be five invited one-hour addresses. The speakers, The Council of the Society will meet at 7:00 p.m. their titles, and the scheduled times of presentation on Thursday, April 5. are as follows: Symposium GERD F ALTINGS, Gesamthochschule Wuppertal, Arithmetic algebraic geometry, 9:30a.m. Friday. Pseudodifferential Operators and Fourier NIGEL J. KALTON, University of Missouri, Integral Operators with Applications Columbia, Three space problems in functional to Partial Differential Equations analysis, 1:45 p.m. Saturday. With the anticipated support of the Na PAUL G. NEVAI, The Ohio State University, tional Science Foundation, a symposium on Orthogonal polynomials, 11:00 a.m. Saturday. Pseudodifferential operator and Fourier integral KAREL L. PRIKRY, University of Minnesota, operators with applications to partial differential Minneapolis, The role of measurable cardinals in equations is scheduled to take place Monday through set theory and analysis, 1:45 p.m. Friday. Thursday, April 2-5. This topic was selected by the WILLIAM F. SCHELTER, University of Texas, 1982 Committee to Select Hour Speakers for Central Austin, Finitely generated algebras satisfying a Sectional Meetings, whose memebers were Richard polynomial identity, 11:00 a.m. Friday. A. Askey, M. Salah Baouendi (chairman), Paul T. Bateman, R. H. Bing, and J. Ian Richards. All five one-hour talks will be held in the The Organizing Committee for the symposium auditorium of the Notre Dame Center for Continuing consists of Charles Fetferman, Princeton University; Education. Victor W. Guillemin, Massachusetts Institute of Special Sessions Technology; Nancy K. Stanton, University of Notre By invitation of the same committee there will be Dame; Michael E. Taylor, SUNY, Center at Stony Brook; and Fran.;ois Treves (chairman), Rutgers five sessions of selected twenty-minute papers. The University. topics of these special sessions and the names of the Names of speakers in the symposium will be mathematicians arranging them are as follows: announced in the January issue of the Notices. Orthogonal polynomials and their applica tions, THEODORE S. CHIHARA, Purdue University, Association for Symbolic Logie Calumet. There will be a meeting of the Association for Symbolic Logic on Saturday and Sunday, April 1 and Ring theory, BARBARA CoRTZEN, De Paul 8. Further details may be obtained from Julia F. University. Knight, Department of Mathematics, University of Model theory, JULIA F. KNIGHT, University of Notre Dame, Notre Dame, Indiana 46556. Notre Dame. Petition Table Metric linear function spaces, N. TENNEY A petition table will be set up in the registration PECK, University of Illinois, Urbana-Champaign. area. Additional information can be found in a box Differential equations, T. K. PUTTASWAMY, Ball in the Louisville meeting announcement in this issue. State University. Book Exhibits and Sale Most of the papers to be presented at these special There will be an exhibit of assorted mathematics sessions will be by invitation. However, anyone books offered by various publishers, and a sale at submitting an abstract for the meeting who feels that substantial discounts of recent books published by the his or her paper would be particularly appropriate American Mathematical Society. Futher information for one of these special sessions should indicate this will be available in a later issue of the Notices. clearly on the abstract and submit it by January 10, three weeks before the deadline for contributed Travel and Accommodations papers. Information on travel and accommodations will be given in the next issue of the Notices. Contributed Papen Where will also be sessions for contributed ten- Paul T. Bateman minute papers as needed. Abstracts should be Urbana, Illinois Associate Secretary

791 ~MfiTHfiLE -Mathematical Reviews Online

MATHFILE is the online database of Mathematical Reviews (MR) produced by the American Mathematical Society. It provides essentially complete worldwide coverage of pure and applied mathematics as well as mathe matical applications in other fields such as physics, engineering, computer science, biology and operations research. MATHFILE provides excellent and quick access to the international mathe matical research literature. Using Boolean logic, one can identify and inter sect mathematical terms and concepts, authors, publishers, journals, and AMS classifications, to produce research information, bibliographies, statistics, etc., about mathematics. Information published in MR since 1973 is contained in MATHFILE, including the full text of the reviews beginning with July 1979. MATHFILE is available electronically through online vendors DIALOG, BRS and SAMSOM. Communicate with the vendors directly to establish accounts. Costs to use MATHFILE vary with the vendor. Connect time charge is approximately $60/hour. Professional librarians access the online systems daily and can perform most searches within 5 to 10 minutes. A NEW, simplified low-cost system has been designed for home computer use-BRS/After Dark. MATH FILE is accessible through After Dark at the greatly reduced rate of $13/hour from 6 p.m. to 12 p.m. The system is menu driven, eliminating the need for long manuals and training. Communicate with BRS for account and system information. DIALOG Information Services BRS and BRS/After Dark Samsom Data System en 3460 Hillview Ave. Bibliographic Retrieval Services Data Base Services, P.O. Box 180 Palo Alto, CA 94304 1200 Route 7, Latham, NY 12110 2400 EB Alphen aan den Rijn (800-227-1960 or (800-833-4 707 or The Netherlands 800-982-5838 in California) 518-783-1161 in New York) (01720) 62195 or (+31)172062195 outside The Netherlands. MATHFILE User's Guide. This 360-page loose-leaf Guide, which is updated as necessary, is designed to help the user access information more quickly and efficiently. $55 list and $41 for AMS members. See the AMS catalogue for more information. Document Delivery Service. Mathematical Reviews is offering a document delivery service which will provide copies of original articles reviewed in MR. Users of MATHFILE may place orders online through DIALOG (Dial order), BRS (electronic mail), or directly with Mathematical Reviews (by mail or telephone). Requests to MR will be filled and mailed within 48 hours of receipt. If MR cannot fill the order, it will be forwarded to an appropriate library for possible inter-library loan. For each article requested, the first 10 pages or fewer will cost $12. Addi- tional pages beyond the first 10 will be $2 for 10 pages or fewer. Copyright royalties will be added in compliance with Copyright Clearance Center regulations. For more information: MATH FILE and user aids Document Delivery and MR Taissa T. Kusma Bonita D. Ross Database Specialist, American Mathematical Society Librarian, Mathematical Reviews 201 Charles Street, P.O. Box 6248 611 Church Street, P.O. Box 8604 Providence, Rl 02940 Ann Arbor, M148107 (401) 272-9500 (313) 764-7228 Richmond, April13-14, 1984, Virginia Commonwealth University First announcement of the 811th Meeting

The eight hundred and eleventh meeting of the clearly on the abstract and submit it by January American Mathematical Society scheduled jointly 16, three weeks before the deadline for contributed with the Maryland-District of Columbia-Virginia papers. Section of the Mathematical Association of America Contributed Papers will be held at Virginia Commonwealth University, Richmond, Virginia, on Friday and Saturday, April There will also be sessions for contributed ten 13-14, 1984. minute papers. Abstracts should be prepared on the standard AMS form available from the Invited Addresses AMS office in Providence, or in departments of By invitation of the 1983 Committee to Select mathematics. Abstracts should be sent to the Hour Speakers for Southeastern Sectional Meetings, American Mathematical Society, P. 0. Box 6248, there will be three AMS invited one-hour addresses. Providence, Rhode Island 02940, so as to arrive The speakers and their affiliations are as follows: prior to the abstract deadline of February 6, 1984. BELA BALLOBAs, Louisiana State University. Members are reminded that a charge of $12 is imposed THOMAS F. BANCHOFF, Brown University. for retyping abstracts that are not in camera-ready JoHN J. WALSH, University of Tennessee. form. Professor Banchoff is jointly invited by the AMS Other Activities and MAA to address a joint meeting at 7:00 p.m. In conjunction with the joint AMS-MAA sectional on Friday night. Titles and scheduled times of meetings, Virginia Commonwealth University will presentations will appear in the next issue of the host a mini-symposium on Analysis on Semigroups, Notices. coordinated by J. F. Berglund, P. Milnes and H. D. Special Sessions Junghenn. The mini-symposium will be held on April 12 and 13. Persons interested in participating By invitation of the same committee, there will should contact J. F. Berglund, Mathematical Sciences be three special sessons of selected twenty-minute Department, Virginia Commonwealth University, papers. The topics of these special sessions and the Richmond, Virginia 23284. names of the organizers are: Field theory, JAMES K. DEVENEY, Virginia Petition Table Commonwealth University. A petition table will be set up in the registration Low dimensional topology, WILBUR WHITTEN, area. Additional information can be found in a box University of Southwestern Louisiana. in the Louisville meeting announcement in this issue. Applied mathematics, organizer to be announced. Accommodations and Travel Most of the papers to be presented at these special Information on accommodations and travel will sessions will be by invitation. However, anyone appear in the next issue of the Notices. submitting an abstract for the meeting who feels that his or her paper would be particularly appropriate Frank T. Birtel for one of these special sessions should indicate this New Orleans, Louisiana Associate Secretary

Contents CBMS REGIONAL CONFERENCE SERIES, NUMBER 51 I. Noncommutative Integration (Supported by the National Science Foundation) II. General Theory of Crossed Products and Duality This book describes the recent development in Ill. Structure of Factors of Type Ill the structure theory of von Neumann algebras and IV. Connes' Theory of Injective Factors and Auto their automorphism groups. It gives a quick survey morphisms of the Tomita-Takesaki theory needed for the latter 1980 Mathematics Subject Classification: 46L10 use, then moves on to the duality theory for crossed CBMS Regional Conference Series in Mathematics products and automorphism groups, which is applied Number 51, iv + 107 pages (soft cover) list price $17, individuals $9 to the structure theory of factors of type Ill. The last ISBN 0-8218-0701-3; LC 83-6435 part is devoted to Connes' theory of injective factors. Publication date: June 1983 The book can be viewed as a guided tour to the state To order, please specify CBMS/51 N of the art. Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

793 The members of the Organizing Commitee are Darryl 1984 SUMMER SEMINAR D. Holm, James M. Hyman, and Basil Nicolaenko IN APPLIED MATHEMATICS (chairman), all of the Center for Nonlinear Studies, Los Alamos National Laboratory. Members of the Advisory Committee are: Peter D. Lax, Courant Nonlinear Systems of PDE Institute, New York University; J. L. Lions, College in Applied Mathematics de France, Paris; Jerrold Marsden, University of California, Berkeley; David McLaughlin, University July 8-July 21, 1984 of Arizona; Louis Nirenberg, Courant Institute of the College of Santa Fe Mathematical Sciences, New York University; and Santa Fe, New Mezico Isadore M. Singer, University of California, Berkeley. The sixteenth AMS-SIAM Summer Seminar in In the early spring a brochure will be available from Applied Mathematics will be held July 8-July 21, the AMS office which will include a description of 1984, and will take place at the College of Santa Fe, the scientific program, as well as information on the Santa Fe, New Mexico. The seminar will be sponsored residence and dining hall facilities, with firm room and jointly by the American Mathematical Society and board rates, local information, and a reservation form the Society for Industrial and Applied Mathematics. to be used to obtain accommodations on campus. It is anticipated that it will be supported by a grant Each participant will pay a social fee to cover the from a federal agency. The topic Nonlinear systems cost of refreshments served at breaks and for social of PDE in Applied Mathematics was selected by events. There will also be a meeting registration fee the AMS-SIAM Committee on Applied Mathematics of 130 (110 for students and/or unemployed). whose members at the time were R. W. Brockett, Individuals may apply for admission to the seminar. John E. Dennis, Jr., Norman Lebovitz, Alan C. Application blanks for admission and/or financial Newell, (chairman), George C. Papanicolaou, and assistance can be obtained from the Meetings Depart R. S. Warming. ment, American Mathematical Society, P. 0. Box The seminar will address three major subtopics of 6248, Providence, Rhode Island 02940. The deadline nonlinear systems of partial differential equations in for return of applieations is March 2, 1984.. An applied mathematics: hyperbolic systems, completely applicant should have completed at least one year integrable systems, and evolutionary systems of non of graduate school and will be asked to indicate linear partial differential equations. Recent progress his or her scientific background and interest. A has been pushed by interrelated developments in graduate student's application must be accompanied dynamical systems thll

MEMOIRS OF THE AMS Hopf Bifurcation in the Two Locus Genetic Model Ethan Akin Hopf bifurcations occur in the class of simple II. Parametric description of the Hopf locus genetic models for the combined effect of selection 1. Linear maps, bilinear forms and matrices, and recombination. The demonstration of cycling in 2. Coordinates and the cylindrical frame, 3. Lineariz such models is biologically unexpected. To study ations and Hessians, 4. The parametrization. 5. Sym this phenomenon we describe the locus of positions metric cases, 6. MARMC, 7. Asymptotic estimates. at which Hopf bifurcation occurs in the two-locus Ill. Programs and examples two-allele model. The description is given by an ex 1. The general program, 2. The symmetric program plicit, computable parametrization which can be 3. Sample computations used to generate all possible examples. Asymptotic Bibliography estimates show that limit cycles can occur. 1980 Mathematics Subject Classif'ications: 34C25, 92A 10 I. Cycles in simple genetic systems Memoirs of the AMS 1. The space of selection matrices, 2. Eigenvalues, Volume 284, viii + 192 pages (soft cover) eigenvectors and linear differential equations, 3. Non List price $16, institutional member $12, linear equilibria and Hopf bifurcations, 4. The Hopf individual member $8 ISBN 0·8218·2284·5; LC 83·6438 bifurcation locus, 5. Parametrization of ~H• 6. Sym Publication date: July 1983 metries, 7. Concluding remarks. To order, please specify MEM0/284N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

794 Joint Summer Research Conferences in the Mathematical Sciences Bowdoin College, June 10 to August 18, 1984

The 1984 Joint Summer Research Conferences in The Joint Summer Research Conferences in the the Mathematical Sciences will be held at Bowdoin Mathematical Sciences is under the direction of College, Brunswick, Maine, between June 10 and the AMS-IMS-SIAM Committee on Summer Research August 18, 1984. It is anticipated that the series of Conferences in the Mathematical Sciences which week-long conferences will be supported by a grant includes: Benedict Gross, Malcolm R. Leadbetter, from the National Science Foundation. Angus J. Macintyre, Jerrold E. Marsden, James There will be ten one-week conferences in ten McKenna, Evelyn M. Nelson, Katsumi Nomizu, Julius different areas of mathematics. Each week par Shaneson, R. 0. Wells, Jr. (chairman), and Shmuel ticipants will arrive on Sunday and leave the follow Winograd. ing Saturday. The topics and organizers for the Descriptions of the subject matter of each of the ten conferences were selected by the AMS-IMS-SIAM 1984 Conferences appeared in the October Notices, Commmittee on Joint Summer Research Conferences _pages 663 to 665; they were accompanied by lists of in the Mathematical Sciences. The selections were members of the respective organizing committees. based on suggestions made by the members of the committee, by members of the Council of the AMS June 10 to June 16 and others. The committee considered it important New multivariate methods in statistics that the conferences represent diverse areas of math PETER HUBER (Harvard University), Chairman ematical activity, with emphasis on areas currently June 17 to June 23 especially active, and paid careful attention to sub jects in which there is important interdisciplinary Random matrices and their applications activity at present. JOEL CoHEN (Rockefeller University), Chairman The conferences will be similiar in structure to June 24 to June 30 those held throughout the year at Oberwolfach. These The mathematics of phase transitions conferences are intended to complement the Society's RICHARD DURRETT (University of California, Los program of annual Summer Institutes and Summer Angeles), Chairman Seminars, which have much larger attendance and are substantially broader in scope. The conferences are July 1 to July 7 research conferences, and are not intended to provide Aspherical complexes an entree to a field in which a participant has not KENNETH BROWN (Cornell University), Co already worked. Chairman It is expected that funding will be available for F. T. FARRELL (University of Michigan, Ann about thirty participants in each conference. Others, Arbor), Co-Chairman in addition to those funded, will be welcome, within the limitations of the facilities of the campus. Up July 8 to July 14 to about seventy participants can be accommodated Group actions on rings at each conference. Housing accommodations will SUSAN MONTGOMERY (University of Southern be available on campus for those attending the California), Chairman conference, and daily meals will be served in a dining hall near the dormitories. A brochure describing July 15 to July 21 the facilities available at Bowdoin College will be Diophantine problems, including diophantine equations, available from the AMS office in March 1984. The diophantine approximation, and transcendency brochure will include information on firm room rates D. J. LEWIS (University of Michigan, Ann Arbor), and the residence and dining hall facilities, as well as Co-Chairman local information and a reservation form to be used W. M. SCHMIDT (University of Colorado, Boulder), for accommodations on campus. Each participant Co-Chairman will pay a registration and social fee to cover the cost July 22 to July 28 of refreshments served at breaks and for social events. The Selberg trace formula and related topics Those interested in attending one of the conferences should request an application form from Carole AUDREY TERRAS (University of California, San Kohanski, Summer Research Conference Coordinator, Diego), Chairman American Mathematical Society, Post Office Box July 29 to August 4 6248, Providence, RI 02940 (401-272-9500, extension Linear algebra and its role in systems theory 286), specifying which conference they wish to BISWA NATH DATTA (Northern illinois University), attend. Selection of the participants and approval of Chairman participant support will be made by the Organizing Committee for each conference. Women and members August 5 to August 11 of minority groups are encouraged to apply and to Integral geometry participate in these conferences. The deadline for RoBERT L. BRYANT (Rice University), Chairman receipt of applications is January 16, 1984. Those who wish to apply for a grant-in-aid should so indicate August 12 to August 18 on the application form; however, funds available for Complex differential geometry and non-linear differential these conferences are limited and so individuals who equations can obtain support from other sources should do so. Y. T. Sm (Harvard University), Chairman

795 Invited Speakers William L. Perry, Ill-posed problems W. Wiley Williams, Semigroup theory and Special Sessions April1984 Meeting in Notre Dame Invited Speakers at AMS Meetings Central Section Deadline for organizers: Ezpired The individuals listed below have accepted invita Deadline for consideration: January 10, 1984 tions to address the Society at the times and places Theodore S. Chihara, Orthogonal polynomials and indicated. For some meetings, the list of speakers is their applications incomplete. Barbara Cortzen, Ring theory Louisville, January 1984 Julia F. Knight, Model theory N. Tenney Peck, Metric linear function spaces Gunnar Carlsson M. Susan Montgomery Persi Diaconis Herbert A. Simon T. K. Puttaswamy, Differential equations Simon K. Donaldson (Gibbs Lecturer) April1984 Meeting in Richmond Robert D. MacPherson Leon Simon Southeastern Section Andrew Majda Robert E. Tarjan Deadline for organizers: Ezpired Barry Mazur Deadline for consideration: January 16, 1984 (Colloquium Lecturer) James K. Deveney, Field theory Notre Dame, April1984 Wilbur Whitten, Low dimensional topology Gerd Faltings Karel L. Prikry Organizer to be announced, Applied mathematics Nigel J. Kalton William F. Schelter June/July 1984 Meeting in Plymouth Paul G. Nevai Eastern Section Riehmond, April1984 Deadline for organizers: Ezpired Deadline for consideration: April 2, 1984 Bela Ballobas John J. Walsh Thomas F. Banchoff August 1984 Meeting in Eugene Plymouth, June 1984 Associate Secretary: Frank T. Birtel Deadline for organizers: November 15, 1989 David Catlin Amatai Regev Deadline for consideration: May 15 or June 8, 1984 Minneapolis, November 1984 November' 1984 Meeting in Minneapolis Jerry L. Bona Naresh C. Jain Central Section I. Martin Isaacs Stephen C. Milne Deadline for organizers: January 15, 1984 Deadline for consideration: To be announced Organizers and Topics Marian B. Pour-El, Logic of Special Sessions November 1984 Meeting in San Diego The list below contains all the information about Far Western Section Special Sessions at meetings of the Society available Deadline for organizers: January 15, 1984 at the time this issue of the Notices went to the Deadline for consideration: To be announced printer. S.-Y. A. Chang, Classical harmonic analysis The section below entitled Information for Carl Cunningham and David Lesley, Complex Organizen describes the timetable for announcing analysis the existence of Special Sessions. Fall 1984 Meeting January 1984 Meeting in Louisville Eastern Section Associate Secretary: W. Wistar Comfort Deadline for organizers: Ezpired Deadline for organizers: To be announced Deadline for consideration: Ezpired Deadline for consideration: To be announced Donald W. Anderson and Gunnar Carlsson, Homo- Fall1984 Meeting topy theory Southeastern Section J. Thomas Beale, Incompressible fluid flow Deadline for organizers: To be announced John B. Conway, Function theoretic operator theory Deadline for consideration: To be announced Persi Diaconis, Random walks on finite groups January 1985 Meeting in Anaheim Andrew M. W. Glass, Ordered algebraic structures Henry Hermes and Hector Sussmann, Vector field Associate Secretary: Hugo Rossi systems and control Deadline for organizers: April15, 1984 Mark A. Kon, Partial differential operators Deadline for consideration: To be announced Suzanne M. Lenhart, Partial differential equations March 1985 Meeting in Chieago and optimal control problems Central Section M. Susan Montgomery and Lance Small, Ring theory Deadline for organizers: May 15, 1984 Ira J. Papick, Commutative algebra Deadline for consideration: To be announced

796 be arranged so late that it may not be announced in Send Proposals for Special Sessions to the the Notices early enough to allow any member of the Associate Seuetaries Society, who wishes to do so, to submit an abstract for The programs of sectional meetings are arranged by consideration for presentation in the Special Session the Associate Secretary for the section in question: before the deadline for such consideration. Special Sessions are effective at sectional meetings Far Western Section {Pacific and Mountain) and can usually be accommodated. They are arranged Hugo Rossi, Associate Secretary by the Associate Secretary under the supervision of Department of Mathematics the Committee to Select Hour Speakers for Institute for Advanced Study the Princeton, N J 08540 section. The limitation on the number of sessions (Telephone 609-734-8157) depends on the space and time available. The same restriction as for national meetings applies to the Central Section deadline for announcing Special Sessions at sectional Robert M. Fossum, Associate Secretary Presumptive meetings: no Special Session may be approved too Department of Mathematics late for University of Illinois its announcement to appear in time to 1409 West Green Street allow a reasonable interval for members to prepare Urbana, IL 61801 and submit their abstracts prior to the special early (Telephone 217 -333-3975) deadline set for consideration of papers for Special Sessions. Eastern Section W. Wistar Comfort, Associate Secretary Information Department of Mathematics for Speakers Wesleyan University A great many of the papers presented in Special Middletown, CT 06457 Sessions at meetings of the Society are invited papers, (Telephone 203-347-9411) but any member of the Society who wishes to do Southeastern Section so may submit an abstract for consideration for Frank T. Birtel, Associate Secretary presentation in a Special Session, provided it is Department of Mathematics received in Providence prior to the special early Tulane University deadline announced above and in the announcements New Orleans, LA 70118 of the meeting at which the Special Session has been (Telephone 504-865-5646) scheduled. As a general rule, members who anticipate organizing Abstracts of papers submitted for consideration for Special Sessions at AMS meetings are advised to seek presentation at a Special Session must be received approval at least nine months prior to the scheduled date by the Providence office (Editorial Department, of the meeting. No Special Sessions can be approved American Mathematical Society, too late to provide adequate advance notice to members Post Office Box who wish to participate. 6248, Providence, RI 02940) by the special deadline for Special Sessions, which is usually three weeks Information for Organizers earlier than the deadline for contributed papers for the same meeting. The Council has decreed that no Special Sessions at Annual and Summer meetings paper, whether invited or contributed, may be listed are held under the general supervision of the Program in the program of a meeting of the Society unless an Committee. They are administered by the Associate abstract of the paper has been received in Providence Secretary in charge of the meeting with staff assistance prior to the deadline. from the Society office in Providence. Some Special Sessions arise from an invitation to Call for Invitations a proposed organizer issued through the Associate Secretary. Others are spontaneously proposed by The undersigned Associate Secretary hereby interested organizers or participants. Such proposals solicits invitations from institutions interested in are welcomed by the Associate Secretaries. serving as host to a future meeting (Eastern Section) of the Society. The number of Special Sessions at a Summer or Annual Meeting is limited to twelve. Proposals, Among desirable characteristics for the site of a invited or offered, which are received at least sectional meeting are: nine months prior to the meeting are screened for (a) Accessibility via public transportation; suitability of the topic and of the proposed Jist (b) Availability of inexpensive food and lodging of speakers, and for possible overlap or conflict on or near campus; with other proposals (specific deadlines for requesting (c) Minimal cost (normally nil) to the Society for approval for Special Sessions at national meetings are the use of classrooms and other facilities; and given above). If necessary, the numerical limitation is (d) A couple of energetic local mathematicians enforced. willing to serve as an Arrangements Committee. Proposals for Special Sessions should be submitted Planning for a sectional meeting begins ap directly to the Associate Secretary in charge of the proximately two years in advance of the meeting meeting (at the address given in the accompanying itself. At the moment we seek sites for meetings in box). If such proposals are sent to the Providence the Spring and the Fall of 1985. Exact dates are office, addressed to the Notices, or directed to anyone flexible and negotiable. other than the Associate Secretary, they will have to be forwarded and may not be received before the Exploratory correspondence may be addressed quota is filled. to W. W. Comfort, Associate Secretary, AMS, Department of Mathematics, Wesleyan University, In accordance with an action of the Executive Middletown, Connecticut 06457. Committee of the Council, no Special Session may

797 Special Meetings

THIS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES for entries in this section are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting.

Fall 1983. Special Semester in Hodge Theory: Valley 5-7. Everett Pitcher Lecture Series, Lehigh University, Geometry Seminar, Amherst College, Amherst, Mas Bethlehem, Pennsylvania. (August 1983, p. 542) sachusetts; Mount Holyoke College, South Hadley, Mas 5-7. Second Latin Ameriean Conference on Applied sachusetts; Smith College, Northampton, Massachusetts; Mathematics, Laboratorio de Computa~ao Cientffica University of Massachusetts, Amherst, Massachusetts. LCC/CNPq, Rio de Janeiro, Brazil. (April 1983, p. 364) (October 1983, p. 669) 1983-1984. Academic Year Devoted to Problems on 5-16. Workshop on Pattern Recognition and Aoalysis of Iteration in Classical Real and Complex Analysis, The Seismicity, Miramare-Trieste, Italy. (June 1983, p. 438) Mittag-Lefller Institute, Djursholm, Sweden. (February 6-9. Congres du Centenaire de la S.E.E., "Electricite, 1983, p. 205) electronique et civilisation", Paris, France. (August 1983, 1983. Special Year in Commutative Algebra and Al p. 542) gebraic Geometry, University of lllinois, Urbana, Illinois. (November 1982, p. 699) JANUARY 1984 October 2, 1983-September 29, 1984. Mathematisehes Forsehungsinstitut Oberwolfaeh (Weekly Conferences), 1-December 14. Symposium on Hyperbolic Geometry, Federal Republic of Germany. (October 1983, p. 669) Kleinian Groups and Three-Dimensional Manifolds, 1984. European Mechanics Colloquia, Various locations. University of Warwick, Coventry, England. (October 1983, Information: Secretary of the European Mechanics Com- p. 671) mittee, H. H. Fernholz (Hermann-Fottinger-Institut fiir 6-10. NSF-CBMS Regional Conference on Some Global Thermo- und Fluiddynamik) Techn. Universitiit Berlin, Problems Concerning Curvature of Riemannian Manifolds, Strasse des 17. Juni 135, D-1000 Berlin 12, Germany. Polytechnic Institute of New York, Brooklyn, New York. (August 1983, p. 542) NOVEMBER 1983 9-13. NSF-CBMS Regional Conference on Minimax 16--18. Eighth Conference on Probability & Statistics in Methods in Critical Point Theory and Applications to the Atmospheric Sciences, Hot Springs, Arkansas. (June Dift'erential Equations, University of Miami, Coral Gables, 1983, p. 438) Florida. (October 1983, p. 672) 24-28. First Asian-Pacific Conference on Science Educa 16--20. Symposium International "Signatures Micro-ondes tion, Taipei, Republic of China. (October 1983, p. 671) en Teledetection", Toulouse, France. (October 1983, p. 672) 28-December 2. Eighth Australasian Fluid Mechanics 27-29. Mathematieal Association of America Aonual Conference, Newcastle, Australia. (October 1983, p. 671) Meeting, Louisville, Kentucky. (October 1983, p. 672)

DECEMBER 1983 FEBRUARY 1984

1-2. International Conference on Collective Phenomena (A 6-9. Second International Modal Analysis Conference, Moscow Refusenik Seminar-in-Exile), Stockholm, Sweden. Orlando, Florida. (October 1983, p. 672) (October 1983, p. 671) 2-3. Midwest Conference on Representation Theory and Automorphic Forms, Ohio State University, Columbus, MARCH 1984 Ohio. Program: There will be five one-hour talks given by P. 12-16. Seventeenth Annual Simulation Symposium, Bay Gerardin, J. I. Igusa, P. Sally, N. Wallach and one Harbor Inn, Old Tampa Bay, Florida. (October 1983, additional speaker. p. 672) Information: S. Rallis or R. J. Stanton, Department of 19-21. lotemational Conference on Numerical Analysis, Mathematics, Ohio State University, Columbus, Ohio Technische Universitat Munich, Munich, Federal Republic 43210. of Germany. (October 1983, p. 672)

798 APRIL 1984 7-11. ACM-IEEE Computer Society Tutoriala for Profea sional Development, Chicago, illinois. (October 1983, 2-4. Third ACM SIGACT-SIGMOD Symposium on p. 672) Principle& of Databae Syatema, Waterloo, Ontario, 13-b'l". Computer Graphica Canada. (October 1983, p. 672) '84, Anaheim Convention Center, Anaileim, California. (October 1983, p. 672) 9-~3. Brit_illh Mathematical Colloquium, University of 17-18. IMACS International Symposium on Bristol, Bristol, United Kingdom. Modelling and Simulation of Eleetric:al Machines and Converten Liege Program: The principal speakers will be J. P. Serre Belgium. (October 1983, p. 672) ' ' (Paris), M. 0. Rabin (Harvard and Jerusalem), and H. Furstenberg (Jerusalem). There will also be fifteen 28--June 1. Sixteenth Yugoalav Congreaa of Theoretical additional speakers. The colloquium will include an and Applied Mechanics, Bei!iCi, Yugoslavia. educational forum on the use of computers in university Program: There will be general lectures and contributed mathematics teaching. papers in the areas of general mechanics· ftuid Information: H. E. Rose, Colloquium Secretary, School mechanics; and mechanics of deformable bodies.' of Mathematics, University of Bristol, University Walk, Information: J. Jaric, Yugoslav Society of Mechanics (16th Bristol BS8 1TW, United Kingdom. Congress 1984), Kneza Milosa 9/i, 11000 Belgrade Yugoslavia. ' 11-13. Symposium on Theoretic:al A.pecta of Computer Science, Paris, France. (October 1983, p. 672) JUNE 1984 12-14. Annual Lecture Series in the Mathematic:al Sciences: Eatimation and Control of Distributed Systema 4-8. Fifth International Conference on the Theory Fayetteville, Arkansas. (October 1983, p. 672) ' and Applications of Graphs, With Special Emphasia 17-19. Sixth Colloque Internationalaur Ia Programmation, on Computer Science Appllcationa, Western Michigan Toulouse, France. (October 1983, p. 672) University, Kalamazoo, Michigan. (June 1983, p. 438) 6--8. 1984 American 19-20. Fifteenth Annual Pittabmgh Conference on Model Control Conference, San Diego California. (October 1983, p. ing and Simulation, University of Pittsburgh, Pittsburgh, 673) ' Pennsylvania. (October 1983, p. 672) 1()-.14. Conference on Global DitiVential Geometry-Global Analysia, Technical University Berlin, 23-27. Conference Celebrating the Sixtieth Birthday of Berlin, Federal Republic of Germany. Profeaaor Hariah-Chandra, Institute for Advanced Study Princeton, New Jersey. ' Org~nizing Committee: Ferns, Gardner, Helgason, Kiihnel, Simon, Wegner. Theme: Harmonic analysis and the representation theory of reductive groups. The talks are intended to be of Information: (United States and Canada) Robert B. general interest, and will include surveys of recent work. Gardner, Department of Mathematics, University of North Carolina, Chapel Hill, North Carolina, Speakers (tentati11e): J. Arthur, J. Bernstein, F. Bruhat, L. 27514. (Other countries) Dirk Ferns, Fachbereich Clozel, T. Enright, S. Helgason, R. Howe, H. Jacquet, 3--Mathematik, Technische Universitat Berlin, Strase D. Kazhdan, R. Langlands, G. Lusztig, W. Schmid, V. des 17 Juni 135, 1000 Berlin 12, Federal Varadarajan, D. Vogan. Republic of Germany. Information: V. S. Varadarajan, Department of Mathe matics, University of California, Los Angeles, California 12--14. Tenth International Symposium on Machine 90024. Proceasing of Remotely Sened Data, Purdue University, West Lafayette, Indiana. (October 1983, p. 673) MA¥1984 18-20. Twenty-sixth International Meeting of the Institute of Management Seiencea, Copenhagen, Denmark. 1-4. Conference on the Mathematica of Finite Elementa Information: Julie Eldridge, TIMS, 146 Westminster Street, and Application&, Uxbridge, Great Britain. Providence, Rhode Island 02903, 401-274-2525. Information: The Secretary, The Institute of Computa 19-21. Fifth IMACS International Symposium on Com tional Mathematics, Brunei University, Uxbridge, Mid puter Methods for Partial Dift'erential Equations, Lehigh dlesex UB8 3PH, Great Britain. University, Bethlehem, Pennsylvania. (October 1983, 2-4. Optimisation Days 1984, Concordia University, p. 673) Montreal, Quebec, Canada. 20-22. Fourteenth International Conference on Fault Organizers: Ecole Polytechnique, McGill University, Con Tolerant Computing, Hyatt Orlando Hotel, Kissimmee, cordia t:niversity, Universite de Montreal, Ecole des Florida. Hautes Etudes Commerciales, Universite du Quebec a Topics: Papers and panel ession proposals in the Montreal. following areas are invited: fault-tolerant com puter system/network/ Program: Sessions will consist of invited and contributed switching/distribution systems; hardware fault-tolerant design talks. Topics may include: mathematical program and methodology; dependable software development ming; optimal control theory; numerical methods of and recovery tech niques; topics optimization; systems theory, including large scale sys in testing and testability; modeling, evaluation, simulation, verification and measurements; tems; statistical methods; estimation and identification, new concepts and merging as well as applications to engineering, management disciplines. sciences, transportation, economica, urban and environ Deadline for Submissions: All papers and panel proposals mental problems, resource management, biology, and so must be submitted by November 18, 1983, to the on. Program Committee Chairman, Ben M. Y. Hsiao, IBM Corporation, P. 0. Box 390, Dept. D18, Deadline for Abstracts: A 200- to 700-word abstract in Bldg. '707, Poughkeepsie, New York, 12602, 914-463-8007. English or French should be sent to the address below by January 31, 1984. Information for Authors: Submit five copies, double-spaced, of a 1000-5000-word paper. The first page must include Information and Abstracts: G. Pederzoli or C. L. Sandblom, title and subject index and an abstract of not more Department of Quantitative Methods, Concordia Univer than 150 words; all of the authors' names, addresses, sity, 7141 Sherbrooke Street West, Montreal, Quebec affiliations and telephone numbers; H4B 1R6, Canada. and indication that the paper has been cleared through the authors' 4--6. Midwest Algebraic Geometry Conference, Purdue affiliations. For panel proposals, a 1000-word summary University, West Lafayette, Indiana. (October 1983, p. 672) of each propoed panelist's subject is needed.

799 Information: Richard M. Sedmak, General Chairman, AUGUST 1984 FTCS 14, Sperry Corporation, P. 0. Box 500, M.S. C1-SW12, Blue Bell, Pennsylvania, 19424, 215-542-3638. 1-3. Fit'th ASCE-EMD Specialty Conference: Engineering Mechanics in Civil Engineering, University of Wyoming, 20-22. Third International Conference on Boundary and Laramie, Wyoming. Interior Layers (BAIL m), Dublin, Ireland. (October 1983, p. 673) Deadline for Abstracts: December 1, 1983. Information: Ken P. Chong, Department of Civil Engineer 25-29. International Workshop on Applied Optimi1ation ing, University of Wyoming, University Station Box Techniques in Energy Problems, Linz, Austria. 3295, Laramie, Wyoming 82071. Topics: Optimal scheduling of power systems; forecasting techniques for the electrical power demand; network 19-25. Sixteenth International Congress of Theoretical flow problems; optimization of electrical power plants; and Applied Mechanics, Lyngby, Denmark. (October 1983, real time river flow forecasting techniques. p. 673) Information: Hj. Wacker, Math. Institut, Johannes-Kepler 24-30. Fit'th International Congress on Mathematics Universitat Linz, Altenbergerstrasse, A-4040 Linz, Education, University of Adelaide, Australia. (June 1982, Austria. pp. 331, 376) Information and Registration: ICMI 5, Wattle Park Teachers' JULY 1984 Centre, 424 Kensington Road, Wattle · Park, South Australia 5066, Australia. 2-11. Canadian Mathematical Society Summer Seminar 27-31. COMPSTAT 1984: Sixth Symposium on Computa on Algebraic Geometry, University of British Columbia, tional Statistics, Prague, Czechoslovakia. Vancouver, Canada. (October 1983, p. 673) Program: The symposium will cover computational statis 8-14. Gatlinburg IX: Householder-Gatlinburg Meeting on tics, including numerical and algorithmic aspects of Numerical Algebra, Waterloo, Ontario, Canada. statistical methods and their applications and relevant Deadline for Applications: November 30, 1983. Attendance techniques in computer science. limited to 100. Information: M. Novak, General Computer Center, Information: Alan George, Department of Computer Czechoslovak Academy of Sciences, 182 07-Prague, Science, University of Waterloo, Waterloo, Ontario, P. 0. Box 5, Czechoslovakia. Canada N2L 3G 1. 9-12. Twelfth Annual National Computer Conference, Las OCTOBER 1984 Vegas, Nevada. 15-17. Society of Engineering Science Annual Meeting, Program: The theme of the conference is "Enhancing Blacksburg, Virginia. Creativity." The conference will consider the increasing personalization of computer systems, and the attendant Information: Daniel Frederick, Department of Engineering focus on individual productivity and innovation. Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061. Information: Dennis J. Frailey, Program Chairman, Texas Instruments, 8642-A Spicewood Springs Road, Suite 15-18. International Symposium on Orthogonal Polyno- 1984, P. 0. Box 10998, Austin, Texas 78766-1998, mials and their Applications, Bar-le-Duc, France. (October 512-250-6663. 1983, p. 673) 11-14. Conference on Universal Algebra and Lattice 25-28. American Mathematical Association of Two-Year Theory, The Citadel, Charleston, South Carolina. (October Colleges' Annual Convention, New York, New York. 1983, p. 673) Call for Papers: Those wishing to speak at the convention 23-27. Conference on Complex Analysis and Approxima should contact Larry Gilligan, Mattatuck Community tion Theory, State University of Campinas, Campinas, College, Waterbury, Connecticut 06708. Those wishing Sii.o Paulo, Brazil. to preside over sessions should contact Larry Rubin, Nashville State Technical Institute, Nashville, Tennessee Information: Jorge Mujica, Instituto de Matematica, 37209. Universidade Estadual de Campinas, Caixa Postal 6155, 13100 Campinas SP, Brazil. Program Deadline: March 1, 1984. Information: Allen Angel, 1984 AMATYC Convention 23-August 8. NATO-ASI Conference on Computational Chairperson, Monroe Community College, Rochester, Mathematical Programming, Bad Windsheim, Federal New York 14623. Republic of Germany. Information: K. Schittkowski, Institut fiir Informatik, Azenbergstrasse 12, D-7000 Stuttgart 1, Federal Republic of Germany. 24-27. International Congress on Computational and Applied Mathematics, University of Leuven, Belgium. (February 1983, p. 210) 25-August 4. Edinburgh Mathematical Colloquium, University of St. Andrews, Scotland. (October 1983, p. 673)

800 New AMS Publications

AMS Book Orders-Toll Free Number For Users of VISA, MasterCard. Individuals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card. The number will be attended from 8:00a.m. to 4:15 p.m. Eastern Time, Monday through Friday except on holidays. When using a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number, expiration date, and signature. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901. A reminder: the individual member rate applies to the purchase of one copy of any book for personal use, and is not an alternative means of lowering costs for libraries.

AMS SHORT COURSE LECTURE NOTES CONTEMPORARY MATHEMATICS Introductory Survey Lectures (ISSN 0271-4132) (Proceedings of Symposia in Applied Mathematics) (ISSN 0160-7634) Central Extensions, Galois Groups, Applied Cryptology, and Ideal Class Groups of Number Fields Cryptographic Protocols, A. Frohlich and Computer Security Models Preface "These notes deal with a set of interrelated prob Richard A. DeMilio, George I. Davida, lems and results in algebraic number theory, in which David P. Dobkin, Michael A. Harrison, and there has been renewed activity in recent years. The Richard J. Lipton underlying tool is the theory of the central exten sions and, in vaguest and most general terms, the On january 5-6, 1981, the authors delivered a underlying aim is to usc class field theoretic methods series of lectures entitled Cryptology in Revolution: to reach beyond Abelian extensions. The literature Mathematics and Models to a meeting of the Ameri in this area is now quite extensive, with often differ can Mathematical Society. This survey of cryptology ing but overlapping approaches. One purpose of this and computer security is an edited and expanded ver write-up is to give an introductory survey, assuming sion of the notes which the Society published for the the basic theorems of class field theory, as mostly original lecture series. recalled in § 1. No originality is claimed as regards The presentation is organized as follows. A survey the general theory, although our approach seems to of cryptographic theory which emphasizes the two have some novel features, in particular in the central major developments of contemporary cryptography role that the Tate cohomology groups Pt- 1 play. (the federal data encryption standard and public-key "Our principal aim is, however, to usc the general cryptography) is presented in Chapter 2. Chapter 3 theory, as developed here, together with the special presents a survey of the security problems which features of class field theory over Q, to derive some arise in the use of time-shared and networked digital rather strong theorems of a very concrete nature, with computers. Finally, a number of protocols which are Q as bascfield. This is where the main emphasis of used to achieve levels of security in computer systems these notes lies. The specialization of the theory of and the emerging theory surrounding cryptographic central extensions to the base field Q will be shown protocols arc presented in Chapter 4. As this survey to derive from an underlying principle of wide applica is being compiled, some friction exists between cer bility. We shall describe certain non-Abelian Galois tain U.S. Government agencies, academic researchers, groups over the rational field, and their inertia sub and professional societies. A brief account of the groups and use this description to gain information issues which have led to this controversy is given in on ideal class groups of absolutely Abelian fields, and Chapter 1. this in entirely rational terms. Here indeed we shall This work was supported in part by the National obtain precise and explicit arithmetic results, which Science Foundation and the Office of Naval Research. go far beyond anything available in the general theory. 1980 Mathematics Subject Classifications: 68-02, 68B99, Much of this really goes back to the author's thesis, 68C99 but has so far not been genuinely accessible in terms of Symposia in Applied Mathematics Proceedings of modern class field theory, and indeed our proofs Volume 29, xii + 204 pages (hard cover and soft cover) Hard cover prices: List $30, institutional member $23, arc entirely new. As we shall show, some of the re individual member $15 sults on class groups have also an interpretation in Soft cover prices: List $23, institutional member $17, terms of the group of norms modulo total norm individual member $12 residues, the so-called number knot. ISBN 0-8218-0041-8; LC 83-15548 Publication date: November 1983 "The theory of the genus field, which is needed as To order, please specify PSAPM/29N (hard cover) background, but of course is of independent interest, PSAPMS/29N (soft cover) is presented in §2. Then we develop the theory of

801 central extension in §3. The special features over Q as Fourier transforms of measures of finite variation are pointed out throughout, also in §1. Next, §4 on Li. This integral has good translation and rotation deals with Galois groups, and in §5 come the appli properties and permutes with other integrals and sums cations to class groups. Finally §6 contains some re in a reasonable way. Applications to the Schroedinger marks on the history and literature, but no Gom equation are given and the relationship to other se pleteness is attempted." quential definitions is discussed. 1980 Mathematics Subject Classifications: 12Axx, 12Bxx 1980 Mathematics Subject Classification: 28C20 Contemporary Mathematics Memoirs of the American Mathematical Society Volume 24, viii + 86 pages (soft cover) Number 288, iv + 48 pages (soft cover) List price $17, institutional member $13, List price $9, institutional member $7, individual member $9 individual member $5 ISBN 0·8218·5022·9; LC 83·19685 ISBN 0-8218-2288-8; LC 83-15605 Publication date: November 1983 Publication date: November 1983 To order, please specify CONM/24N To order, please specify MEM0/288N

TRANSLATIONS OF MATHEMATICAL MEMOIRS OF THE AMS (ISSN 0065·9266) MONOGRAPHS (JSSN 0065-9282) R-linear Endomorphisms of (R) preserving invariants Integral Representations and Residues n Bernard R. McDonald in Multidimensional Complex Analysis This Memoir examines and classifies the R-endo· I. A. Aizenberg and A. P. Yuzhakov morphisms of (R)n which preserve rank one matrices, Abstract where R denotes a commutative ring with identity This book deals with integral representations of and (R)n the matrix ring of size n over R. This ex holomorphic functions of several complex variables, tends the standard work of Marcus and Moyls over the multidimensional logarithmic residue, and the an algebraically closed field. These rank one preserv theory of multidimensional residues. Applications are ing maps are invertible and their groups are discussed given to implicit function theory, systems of non and related to the Picard group Pic(R). Applications linear equations, computation of the multiplicity of of the above results include a classification of those a zero of a mapping, and computation of combina R-endomorphisms of (R)n which preserve the deter torial sums in closed form. Certain applications in minant. This latter result dates to Frobenius in 1897 multidimensional complex analysis are considered. where the solution was given over the complex field. The monograph is intended for specialists in theo This Memoir additionally contains a study of the retical and applied mathematics and theoretical invertible R-submodules of (R)n, a description of the physics, and for post graduate and graduate students rank one matrices, and a theory of generalized equiv interested in multidimensional complex analysis or alence transformations. its applications. 1980 Mathematics Subject Classifications: 15A33, 15A72, Contents 13C10 I. Integral representations and the logarithmic Memoirs of the American Mathematical Society residue Number 287, iv + 68 pages (soft cover) II. Integral representations of special form for holo List price $10, institutional member $8, morphic functions individual member $5 ISBN 0·8218·2287-X; LC 83-15648 Ill. The theory of residues Publication date: November 1983 IV. Applications to implicit functions, systems of To order, please specify MEM0/287N nonlinear equations, computation of the multiplicity of a zero, and combinatorics V. Some applications in multidimensional com A Simple Definition plex analysis of the Feynman Integral, with Applications 1980 Mathematics Subject Classifications: 32-02, 32A25, R. H. Cameron and D. A. Storvick 32A27 This Memoir presents a simple sequential definition Translations of Mathematical Monographs of the Feynman integral which is applicable to a Volume 58, x + 283 pages (hard cover) rather large class of functionals. The existence theo List price $68, institutional member $51, rem shows that this sequential Feynman integral individual member $34 ISBN 0·8218-4511-X; LC 83-15549 exists and equals the analytic Feynman for all ele· Publication date: November 1983 ments of a Banach algebra of functionals expressible To order, please specify MMON0/58N

802 PROCEEDINGS OF THE RECENT REPRINTS STEKLOV INSTITUTE TOPICS IN DYNAMIC (ISSN 0081-5438) BIFURCATION THEORY Theory and Applications Jack K. Hale of Differentiable Functions CBMS Regional Conference Series in Mathematics Number 47, 84 pages (ISBN 0-8218-1698-5) of Several Variables. VIII 1981; reprinted 1983 (soft cover) S.M. Nikol' skii, Editor List price $7, individual $4 To order, please specify CBMS/47N Abstract In the papers of this collection, properties of dif MARKOV RANDOM FIELDS ferentiable functions of real variables are investigated, AND THEIR APPLICATIONS inequalities between integral norms of partial deriva Ross Kindermann and J. Laurie Snell tives are established, boundary and approximation Contemporary Mathematics properties of functions are studied, generalized Riesz Volume 1, 142 pages (ISBN 0-8218-5001-6) potentials and hypersingular integrals are investigated, 1980; reprinted 1983 (soft cover) and difference methods for approximate solution of list price $11, institutional member $8, Laplace's equation and approximate computation of individual member $6 integrals are proposed. To order, please specify CONM/1 N Contents TRANSLATION LATTICES G. G. Akopyan, Sequences of cubature formulas for R. S. Pierce differentiable functions on domains with degen Memoirs of the AMS, Number 32 erate corners 66 pages (ISBN 0-8218-1232-7) 0. V. Besov, Weighted estimates of mixed derivatives 1959; reprinted 1983 (soft cover) in a domain List price $13, institutional member $10, V. I. Burenkov, On exact constants in inequalities individual member $7 for the norms of intermediate derivatives on a To order, please specify MEMOI32N finite interval A RIEMANN-TYPE INTEGRAL THAT INCLUDES E. A. Volkov, An efficient cubic mesh method for LEBESGUE-STIELTJES, BOCHNER AND solving Laplace's equation on a parallelepiped STOCHASTIC INTEGRALS under discontinuous boundary conditions M. L. Go I' dman, A covering method for describing E. J. McShane general spaces of Besov type Memoirs of the AMS, Number 88 G. A. Kalyabin, Descriptions of functions in classes 54 pages (ISBN 0-8218-1288-2) 1969; reprinted 1983 (soft cover) of Besov-Lizorkin-Triebel type list price $9, institutional member $7 I. A. Kipriyanov and B. M. Bogachev, On the proper individual member $5 ties of functions in a weighted space on differen To order, please specify MEM0/88N tiable manifolds GLOBAL SUBDIRECT L. D. Kudryavtsev, On the construction of a sequence PRODUCTS of compactly supported functions approximating Peter H. Krauss and David M. Clark functions from weighted classes Memoirs of the AMS, Number 210 P. I. Lizorkin, Estimates of mixed and intermediate 109 pages (ISBN 0-8218-2210-1) derivatives in weighted 1979; reprinted 1983 (soft cover) LP-norms List price $10, institutional member $8, M. K. Potapov, Imbedding theorems in a mixed individual member $5 metric To order, please specify MEM0/21 ON S. G. Samko, Generalized Riesz potentials and hyper singular integrals with homogeneous characteristics, THE PROBLEM OF MOMENTS their symbols and inversion J. A. Shohat and J. D. Tamarkin B. V. Tandit, On boundary properties of functions Mathematical Surveys and Monographs in the space wr, 1 Number 1, 144 pages (ISBN 0-8218-1501-6) P'f' V. N. Temlyakov, Approximation of periodic func- 1943; revised edition 1950, reprinted 1983 (soft cover) list price $29, institutional member $22, tions of several variables with bounded mixed individual member $15 derivative To order, please specify SURV/1 N 1980 Mathematics Subject Classifications: 26, 35, 41, 42, 45 and others Proceedings of the Steklov Institute Volume 156, x + 285 pages (soft cover) Prepayment is required for all AMS publications. list price $82, institutional member $62, Order from AMS, PO Box 1571, Annex Station, individual member $41 Providence, Rl 02901 ISBN 0-8218-3017-1; LC 68·1677 Publication date: September 1983 To order, please specify STEKLOI156N

803 Miscellaneous

Personal Items Deaths

Myron B. Allen of Princeton University has been Karen C. Beck of the University of Utah died on appointed to a visiting assistant professorship at the June 25, 1983 at the age of 31. She was a member of University of Wyoming. the Society for 9 years. A. T. Bharueha-Reid of the Georgia Institute of William W. Boone of the University of Illinois, Technology has been appointed Distinguished Profes Urbana-Champaign, died on September 14, 1983 at sor of Mathematics, Department of Mathematics and the age of 63. He was a member of the Society for 37 Computer Science, Atlanta University. years. Seott W. Brown of the University of Hawaii, Gustave Efroymson of the University of New Manoa, will be on faculty exchange for the spring Mexico died on August 13, 1983 at the age of 46. He semester of 1984. He will be exchanging teaching was a member of the Society for 23 years. duties with Donald Hadwin of the University of New Hampshire. Visiting Mathematicians George L. E. Csordas of the University of Hawaii, (Supplementary List) Manoa, has been appointed to a professorship at that university. Mathematicians visiting other institutions during Riehard E. Ewing of Mobil Research and the 1983-1984 academic year have been listed in recent issues of the Notices: June 1983, pages 450- Development Corporation has been appointed to 452; August 1983, pages 550-552; and October 1983, a professorship of mathematics and petroleum engineering at the University of Wyoming. pages 685-686. The list below gives the name and home country, the host institution, period of visit, Peter Hilton of the State University of New and field of special interest of additional visiting York, Binghamton, has been appointed Distinguished mathematicians. Professor of Mathematics at that university. Rafal Ablamowiez (Poland), Southern Illinois E. Lee Lady of the University of Hawaii, Manoa, University, Carbondale, August 1983 to May 1984, has been appointed to a professorship at that degenerate Clifford algebras, twisters and their university. He will be on sabbatical leave at applications, Yang-Mills Theory. the University of California, Berkeley, during the academic year 1983-1984. Georg W. Deseh (Austria), Southern Illinois University, Carbondale, August 1983 to May 1984, Ralph N. MeKen11ie of the University of Califor semigroups, integral and integrodifferential equations. nia, Berkeley, has been appointed to a visiting professorship at the University of Hawaii, Manoa, for Rohan Hemasinha (Sri Lanka), Southern Illinois the Fall1983 semester. University, Carbondale, August 1983 to May 1985, probability theory on linear spaces. Tom S. Pitcher of the University of Hawaii, Manoa, will be on sabbatical leave at the University of Aleksander Janicki (Poland), Southern Illinois Southern California during the spring 1984 semester. University, Carbondale, August 1983 to May 1985, partial differential equations, numerical methods, Doraiswamy Ramaehandran of the University of optimization. Georgia has been appointed to an associate profes sorship at California State University, Sacramento. Andras Kro6 (Hungary), Central Michigan Univer sity, September 1983 to June 1984, approximation Wayne S. Smith of the University of California, theory. Berkeley, has been appointed to an assistant professorship at the University of Hawaii, Manoa. Toshio Nomura (Japan), Southern Illinois Univer sity, Carbondale, August 1983 to May 1984, control Steven T. Tsehant11 of the University of California, theory, systems theory. Berkeley, has been appointed to a visiting assistant professorship at the University of Hawaii, Manoa, for the academic year 1983-1984.

804 Application Deadlines for Grants and Assistantships

Many fellowship programs have deadlines for December 31 receipt of applications. These deadlines are noted Institute for Advanced Study Memberships [PS] in news items and in the Stipends Section of the Massachussetts Institute of Technology (C. L. E. December Notices. They are listed below for Moore Instructorships in Mathematics) [PS] your convenience, and as a reminder since many of University of Wisconsin, Madison (Van Vleck these deadlines occur before the publication date of Assistant Professorships in Mathematics) [PS] the special December issue on Assistantships and Fellowships. Dates taken from the 1982 special January 1 issue have been updated with information received Brown University (Jacob David Tamarkin Assistant in preparation for the December 1983 issue. For Professorships) [PS] information about the various programs, the reader Courant Institute (Instructorships in Mathematics) is referred to the appropriate part of the Stipends [PS] Section of the December 1982 Notices as follows: [GS] Courant Institute (Postdoctoral Visiting Member = Graduate Support Section; [PS] = Postdoctoral ships [PS] Support Section; [TSA] = Travel and Study Abroad Indiana University, Bloomington (V aclav Hlavaty Section; [SFN] = Study in the U.S. for Foreign Research Assistant Professorships) [PS] Nationals. Mathematical Sciences Research Institute [PS] * Information from the December 1982 issue not yet * University of California, San Diego (S. E. confirmed for this year. Warschawski Assistant Professorship) [PS] November January 2 NSF Graduate Fellowships [GS] Harvard University (Benjamin Peirce Lectureships) NSF Minority Graduate Fellowships [GS] [PS] November 1 University of Michigan, Ann Arbor (Theophil American-Scandinavian Foundation [TSA] Henry Hildebrandt Research Assistant Profes * Fannie and John Hertz Foundation Fellowships sorships) [PS] [GS] January 15 November 7 Committee on Institutional Cooperation National Academy of Sciences (Exchange Programs (Minorities Fellowships in the Sciences, Mathe with China) [TSA] matics and Engineering) [GS] Dartmouth College (John Wesley Young Research November 15 Instructorships) [PS] NSF Mathematical Sciences Postdoctoral Research Institute for Mathematics and its Applications [PS] [PS] * Kosciuszko Foundation [GS] [SFN] Weizmann Institute of Sciences (Feinberg Graduate * Kosciuszko Foundation (Graduate and School Postdoctoral Fellowships) [TSA] Postgraduate Exchange with Poland) [TSA] * Woodrow Wilson Women's Studies Research * National Research Council (Research Associateship Grants [GS] Program) [PS] November 30 Natural Sciences and Engineering Research Council North Atlantic Treaty Organization [TSA] of Canada (Visiting Fellowships) [TSA] Rice University (Griffith Conrad Evans Instructor December 1 ships) [PS] American Philosophical Society [PS] Smithsonian Institution (Predoctoral Fellowships) Lady Davis Fellowship Trust [TSA] [GS] Lady Davis Visiting Professorships [TSA] Smithsonian Institution (Postdoctoral Fellowships) * Royal Norwegian Council for Scientific and In [PS] dustrial Research (Postdoctorate Fellowships) University of California, Los Angeles (Earle [TSA] Raymond Hedrick Assistant Professorships in * Sigma Delta Epsilon, Graduate Women in Science Mathematics) [PS] (Eloise Gerry Fellowship) [GS] University of Chicago (Leonard Eugene Dickson [PS] December 15 Instructorships in Mathematics) * University of Pittsburgh (Andrew Mellon Postdoc * Los Alamos National Laboratory (J. Robert toral Fellowships) [PS] Oppenheimer Research Fellowship) [PS] * State University of New York, Buffalo (George January 16 William Hill and Emmy Noether Research California Institute of Technology (Harry Bateman Instructorships) [PS] Research Instructorships) [PS]

805 National Research Council (Postdoctoral Fellow February 18 ships for Minorities) (PS] * AAAS Science, Engineering and Diplomacy Fellow January 27 ships (PS] * National Center for Atmospheric Research February 22 (Advanced Study Program) (PS] * Hubert H. Humphrey Doctoral Fellowships (GS] January 30 February 28 Centro de Investigacion del lPN (Solomon Australian Institute of Nuclear Science and En Lefschetz Research Instructorships) (TSA] gineering (Research Fellowships) (PS] IBM Thomas J. Watson Research Center (Mathematical Sciences Department Postdoc Mardt 1 toral and Junior Faculty Research Fellowships) American Philosophical Society (PS] (PS] March 14 January 31 NSF United States-India Exchange (TSA] * Yale University (Josiah Willard Gibbs Instructor March 31 ships) (PS] Hubert H. Humphrey Doctoral Fellowships (GS] February 1 North Atlantic Treaty Organization (TSA] * AAAS Summer Fellowship (GS] April1 American Philosophical Society (PS] American Philosophical Society (PS] American Society for Engineering Education (NASA-ASEE Summer Faculty Fellowships) (PS] April30 American Society for Engineering Education * Organization of American States (SFN] (Navy- and DOE-ASEE Summer Faculty Re May1 search Programs) (PS] Carnegie-Mellon University (Zeev Nehari Instruc Air Force Office of Scientific Research (Research torship in Mathematics) (PS] Contracts and Grants) (PS] Kenneth 0. May Fellowship in the History of July 1 Mathematics (GS] Indo-American Fellowship Program (TSA] * Minna-James-Heinemann-Stiftung (Research Abroad) (TSA] August 1 * Sigma Delta Epsilon, Graduate Women in Science American Philosophical Society (PS] (Grants-in-Aid) (GS] August 15 * University of Cincinnati (Charles Phelps Taft North Atlantic Treaty Organization (TSA] Postdoctoral Fellowships) (PS] August 31 February 9 Australian Institute of Nuclear Science. and En * California State Graduate Fellowships (GS] gineering (Research Fellowships) (PS] February 15 * Organization of American States (SFN] American Society for Engineering Education (ONR September 14 Graduate Fellowship Program) (GS] NSF United States-India Exchange (TSA] AMS-MAA-SIAM Congressional Science Fellowship (PS] * University of California, Irvine (Visiting Irvine Lectureship) (PS]

Hodge Theory and new proofs are given for the case of curves. In higher dimensions an affirmative answer is given for a the Local Torelli Problem smooth family of varieties of dimension at most four LoringW. Tu having a large number of holomorphic 1-forms. Throughout the book the presentation has been This monograph consists of two parts. The first kept as down-to-earth and as elementary as possible. part is an exposition of some developments in Hodge theory dating from the sixties and due largely to 1980 Mathematics Subject Classifications: 14C30, 14H15, 14)15 Phillip Griffiths and his coworkers. The topics in Memoirs of the American Mathematical Society clude the period map, Hodge bundles, monodromy Memoir Number 279, vi + 66 pages (soft cover) and variation of Hodge structure, mixed Hodge struc list price $9, institutional member $7, tures and the numerical invariants of a degeneration. individual member $5 This machinery is applied in the second part to the ISBN 0-8218·2279-9; LC 83-3781 Publication date: May 1983 local Torelli problem in algebraic geometry. Several To order, please specify MEM0/279N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. 806 AMS Reports and Communications

Reeent Appointment LEO A. HARRINGTON, University of California, Berkeley, did not present his scheduled address. Committee members' terms of office on standing IRA W. HERBST, University of Virginia, The committees expire on December 31 of the year Schriidinger equation. given in parentheses following their names, unless HERVE JACQUET, Columbia University, On the otherwise specified. residual spectrum of the linear group. The presiding officer was Charles W. Curtis. David W. Ballew, Felix E. Browder, Paul W. J. H. B. KEMPERMAN, University of Rochester, Davis, Bernard L. Madison, Robert E. O'Malley, Jr., Functional equations over a group, and the mean and William T. Trotter, Jr., have been appointed value property. The presiding officer was Kenneth by Presidents Julia B. Robinson (AMS), Ivan Niven A. Ross. (MAA) and Hirsh G. Cohen (siAM) to the Organizing WEN-CH1ING WINNIE LI, Pennsylvania State Committee for a Meeting of Department Chairmen. University, University Park, Fourier transforms and This is a committee of the .AMS-MAA-SIAM Joint representations of general linear groups. The Concerns Committee in Mathematics. Professor presiding officer was A. H. Atkin. Madison will serve as chairman. Special Sessions. By invitation of the same committee, there were eleven special sessions of Reports of Past Meetings selected twenty-minute papers as follows: The calculus of variations in the large and its The Summer Meeting in Albany applications, MEL S. BERGER and ALEXANDER EYDELAND, University of Massachusetts, Amherst. The 87th summer meeting of the American The speakers were F. Almgren, Charles J. Amick, Mel Mathematical Society was held from August 8 to S. Berger, Kung-chin Chang, Alexander Eydeland, August 11, 1983, at the State University of New York, L. E. Fraenkel, George H. Knightly, Wei-Ming Ni, Center at Albany. It was held jointly with the 63rd Martin Schechter, Jean E. Taylor, and Michael I. summer meeting of the Mathematical Association of Weinstein. America, and the 1983 annual meeting of Pi Mu Dynamical systems, LOUIS BLOCK, University of Epsilon. The meeting was preceded by the AMS Florida. The speakers were Steve Batterson, Chris Short Course, Population Biology. There were 901 Bernhardt, Philip Boyland, Sue Goodman, Glen R. participants, including 612 members of the Society. Hall, David Hart, Chung-wu Ho, Mike Hurley, Tien Colloquium Lectures. BERTRAM KosTANT of Yien Li, Michael Maller, R. McGehee, Kenneth the Massachusetts Institute of Technology presented Meyer, John Milnor, Dennis Pixton, Clark Robinson, a series of four Colloquium Lectures entitled On Stephen Schecter, James Selgrade, Russell B. Walker, the Coxeter element and the structure of the R. F. Williams, and Helena S. Wisniewski. exceptional Lie groups. The presiding officers were Ergodic theory concerning point transformations Julia B. Robinson, Louis Auslander, and I. Satake. with finite invariant measure, NATHANIEL A. FRIEDMAN, State University of New York, Center at Steele Pri1es. Three 1983 Leroy P. Steele Prizes Albany. The speakers were Alexandra Bellow, Jane were awarded at a prize session on Wednesday, August M. Hawkins, Roger L. Jones, Nelson G. Markley, 10. The 1983 recipients were PAUL liALMOS R. N. F. G. Martin, Kyewon Park, Karl Petersen, of Indiana University, Bloomington; STEPHEN C. V. S. Prasad, William L. Reddy, Robert Sine, and KLEENE Professor Emeritus of the University of Sherman Wong. Wisconsin, Madison; and SHnNG-SHEN CHERN of Tensor products and p-summing operators in the University of California, Berkeley (see pages 574 harmonic analysis, CoLIN C. GRAHAM, Northwes to 579 of the October 1983 Notices). tern University, and BERTRAM ScHREIBER, Wayne Invited Addresses. By invitation of the AMS State University. The speakers were John J. F. Program Committee, there were eight invited one Fournier, Colin C. Graham, D. Hajela, Michael B. hour addresses as follows: Marcus, Cora Sadosky, Bertram M. Schreiber, Brent SELMAN AKBULUT, Michigan State University, Smith, and Martin Walter. The topology of real algebraic sets. The presiding Applications of algebraic topology, TIMOTHY L. officer was Paul Baum. LANCE, State University of New York, Center at JAMES EELLS, University of Warwick, England, Albany. The speakers were Douglas R. Anderson, Harmonic maps of Riemann surfaces. The Paul Baum, Michael Chisholm, David Handel, presiding officer was Hugo Rossi. Norman Levitt, Jack Morava, and Mark Steinberger. ROBERT C. GUNNING, Princeton University, Automorphic functions and automorphic repre Riemann surfaces and their associated Wirtinger sentations, WEN-CH1ING WINNIE LI, Pennsylvania varieties. The presiding officer was Joseph J. Kohn. State University, University Park. The speakers were

807 A. 0. L. Atkin, Solomon Friedberg, Paul Gerardin, Guy Henniart (presented in absentia by Paul Gerar din), Martin L. Karel, Wen-Ch'ing Winnie Li, Carlos Julio Moreno, I. Piateckii-Shapiro, Arnold K. Pizer, Steve Rallis, and Stephen V. Ullom. Several complex variables, R. MicHAEL RANGE, State University of New York, Center at Albany. The speakers were H. Alexander, Frank Beatrous, Steve Bell, Daniel M. Burns, Jr., Joseph Cima, John Lev Leifman, Editor P. D'Angelo, Frank Farris, B. L. Fridman, Daryl Geller, C. Robin Graham, J. J. Kohn, John M. Tab lc of Contents D. M. Galin, Versa/ deformations of linear Hamil Lee, Ngaiming Mok, Hugo Rossi, Walter Rudin, tonian systems Jerzy Ryczaj, Bernard Schiffman, Yum-Tong Siu, 0. A. Olcinik and E. V. Radkevi~, On the analyticity David S. Tartakoff, Boguslaw Tomaszewski, Sidney of solutions of linear second order partial differen M. Webster, John Wermer, Paul Yang, and William tial equations R. Zame. V. M. Petkov, Necessary conditions for the Cauchy Summability methods, BILLY E. RHOADES, problem for nonsymmetrizable hyperbolic sys Indiana University, Bloomington. The speakers trtms to be well-posed were Wolfgang Beekmann, Shao-Chien Chang, David P. R. Popivanov, On the local solvability of a class of pseudodifferential equations with double char Borwein, Martin G. Buntinas, J. DeFranza, Allen R. acteristics Freedman, Billy E. Rhoades, William H. Ruckle, J. J. A. N. So~itai~vili, On bifurcation of topological type Sember, Bruce L. R. Shawyer, A. K. Snyder, and of singular points of vector fields depending on Albert Wilansky. parameters Solutions of operator equations and fixed points, D. A. Silaev, Construction of the solutions of a sys V. M. SEHGAL, University of Wyoming, and S. tem of boundary-layer equations by the method P. SINGH, Memorial University, Newfoundland. of lines with respect to time The speakers were M. Altman, David G. Bourgin, A. I. Suslov, On Prandtl's system of equations for Patrick M. Fitzpatrick, Gilles Fournier, W. A. Kirk, the boundary layer with a surface of discontinuity Anthony To-Ming Lau, Teck-Cheong Lim, Mario M. I. Vi~ik and A. I. Kame~, On the solvability of Martelli, M. Zuhair Nashed, W. V. Petryshyn, L. B. the Cauchy problem for the Hopf equation corre sponding to a nonlinear hyperbolic equation Rail, Simeon Reich, V. M. Sehgal, K. L. Singh, S. P. ju. V. Egorov and C. V. Rangelov, On a class of Singh, and S. Thomeier. pseudodifferential equations with multiple charac Differential analysis in infinite dimensional teristics spaces, SRINIVASA SWAMINATHAN, Dalhousie ju. S. ll'ja~cnko, The multiplicity of limit cycles University. The speakers were Mel S. Berger, Sean arising from perturbations of the form w' = Dineen, E. P. Hamilton, M.P. Heble, Boris Mityagin, P2jQ1 of a Hamiltonian equation in the real and Louis D. Nel, C. C. A. Sastri, T. N. Subramanian, complex domain K. Sundaresan, and Kok-Keong Tan. T. F. Kalugina, A priori estimates for equations of parabolic type Topological methods in combinatorial group theory, EDWARD C. TURNER, State University V. ju. Kisclev, Almost periodic Fourier integral oper ators and some of their applications of New York, Center at Albany. The speakers A. A. Lok~in, Fundamental solutions of quos/hyper were A. M. W. Glass, Guenther Huck, R. Kramer, bolic equations and polynomials of several vari Alexander Lubotzky, Darryl McCullough, Allan J. ables Sieradski, Craig Squier, John R. Stallings, Marvin 0. A. Olcinik and N. 0. Maksimova, On the behavior Tretkoff, and Thomas W. Tucker. of solutions of inhomogeneous elliptic systems in Contributed Papers. There were nine sessions for unbounded domains A. V. Fursikov, First integrals and integrability of contributed ten-minute papers. The presiding officers systems of quasilinear equations for these sessions were Saber N. Elaydi, Michael J. M. A. Sub in, The density of states of selfadjoint Hoffman, James F. Hurley, L. F. McAuley, Diane elliptic operators with a! most periodic coefficients Meuser, Howard Osborn, K. I. Rosenthal, Alan H. Stein, and Donald R. Wilken. 1980 Mathematics Subject Classifications: 34, 35, 42, 47, Council and Business Meetings. The reports of and others Volume 118, iv +340 pages (hard cover) the Council and Business Meetings held during the List price $70, institutional member $53, summer meeting were given on pages 689 and 690 of individual member $35 the October 1983 issue of the Notices. ISBN 0-8218-3072-2; LC 82-20595 Publication date: December 1982 To order, please specify TRANS2/118N Hugo Rossi Salt Lake City, Utah Associate Secretary Prepayment is required for all AMS publications. Order from AMS, PO Box 1571, Annex Station, Providence, Rl 02901, or call 80()..556-7774 to charge with VISA or MasterCard. BYLAWS of the American Mathematical Society

ARTICLE I and the Memoirs; a committee consisting of the Officers representatives of the Society on the Board of Editors of the American Journal of Mathematics; and a Seetion 1. There shall be a president, a president committee for Mathematics of Computation. elect (during the even-numbered years only), an ex president (during the odd-numbered years only), three Seetion 3. There shall be a communications vice-presidents, a secretary, four associate secretbries, committee called the Committee to Monitor Problems a treasurer, and an associate treasurer. in Communication. Seetion 2. It shall be a duty of the president to Seetion 4. The size of each publications committee deliver an address before the Society at the close of and communications committee shall be determined his term of office or within one year thereafter. by the Council. ARTICLEll ARTICLE IV Board of Trustees Council Seetion 1. There shall be a Board of Trustees Seetion 1. The Council shall consist of consisting of eight trustees, five trustees elected by fifteen members-at-large and the following ex officio the Society in accordance with Article VII, together members: the officers of the Society specified in with the president, the treasurer, and the associate Article I, the members of the publications committees treasurer of the Society ex officio. The Board of and the chairman of the communications committee Trustees shall designate its own presiding officer and specified in Article III, any former secretary for a secretary. period of two years following his terms of office, and Seetion 2. The function of the Board of Trustees members of the Executive Committee (Article V) who shall be to receive and administer the funds of the remain on the Council by the operation of Article Society, to have full legal control of its investments VII, Section 4. and properties, to make contracts, and, in general, to Seetion 2. The Council shall formulate and conduct all business affairs of the Society. administer the scientific policies of the Society and Seetion 3. The Board of Trustees shall have shall act in an advisory capacity to the Board of the power to appoint such assistants and agents Trustees. as may be necessary or convenient to facilitate Seetion 3. In the absence of the secretary from any the conduct of the affairs of the Society, and to meeting of the Council, one of the associate secretaries fix the terms and conditions of their employment. present may be designated as acting secretary for The Board may delegate to the officers of the the meeting, either by written authorization of the Society duties and powers normally inhering in their secretary, or, failing that, by majority agreement respective corporative offices, subject to supervision among the associate secretaries present. by the Board. The Board of Trustees may Seetion 4. All members of the Council shall be appoint committees to facilitate the conduct of the voting members. The method for settling matters financial business of the Society and delegate to before the Council at any meeting shall be by such committees such powers as may be necessary majority vote of the members present. If the result or convenient for the proper exercise of those of a vote is challenged, it shall be the duty of the powers. Agents appointed, or members of committees presiding officer to determine the true vote by a roll designated, by the Board of Trustees need not be call. In a roll call vote, each Council member shall members of the Board. vote only once (although he may be a member of Nothing herein contained shall be construed to the Council in several capacities), and he shall state empower the Board of Trustees to divest itself of before the vote in which capacity he votes. The group responsibility for, or legal control of, the investments, consisting of the four associate secretaries shall have properties, and contracts of the Society. one vote, and it shall be divided equally among those who vote as associate secretaries. Each of the eight ARTICLEm publications committees shall have one vote, and it Publications and Communications Committees shall be divided equally among those who vote as Seetion 1. There shall be eight publications members of the respective publications committees. committees, which shall be the eight editorial All other members of the Council shall have one vote committees specified in Section 2 of this Article. each. Fractional votes shall be counted. Seetion 2. There shall be eight editorial com Seetion 5. Any group of members of the Council mittees as follows: committees for the Bulletin, for who have a total of five votes as defined in Section 4 the Proceedings, for the Colloquium Publications, of this Article for a vote by roll call shall constitute for Mathematical Surveys, for Mathematical a quorum for the transaction of business at any Reviews; a joint committee for the Transactions meeting of the Council.

809 Section 6. Between meetings of the Council, is requested, prior to final a.ction by the Council, business may be transacted by a mail vote. Votes by two hundred or more members. The taking of a shall be counted as in the case of a roll call as specified referendum shall act as a stay upon Council action in Section 4 of this Article, "members present" being until the votes have been canvassed, and thereafter replaced by "members voting." An affirmative vote no action may be taken by the Council except in by mail on any proposal shall be declared if, and accordance with a plurality of the votes cast in the only if, (a) more than half of the total number of referendum. possible votes is received by the time announced for the closing of the polls, and (b) at least three ARTICLEV quarters of the votes received by then are affirmative. Executive Committee If members who have a total of five or more votes Section 1. There shall be an Executive Committee request postponement at the time of voting, action of the Council, consisting of four elected members and on the matter at issue shall be postponed until the the following ex officio members: the president, the next meeting of the Council, unless either (1} at the secretary, the president-elect (during even-numbered discretion of the secretary, the question is made the years}, and the ex-president (during odd-numbered subject of a second vote by mail, in connection with years). which brief statements of reason, for and against, are Section 2. The Executive Committee of the circulated; or (2} the Council places the matter at Council shall be empowered to act for the Council on issue before the Executive Committee for action. matters which have been delegated to the Executive Section 7. The Council may delegate to the Committee by the Council. If three members of Executive Committee certain of its duties and powers. the Executive Committee request that any matter be Between meetings of the Council, the Executive referred to the Council, the matter shall be so referred. Committee shall act for the Council on such matters The Executive Committee shall be responsible to the and in such ways as the Council may specify. Nothing Council and shall report its actions to the CounCil. It herein contained shall be construed as empowering may consider the agenda for meetings of the Council the Council to divest itself of responsibility for and may make recommendations to the Council. formulating and administering the scientific policies Section 3. Each member of the Executive of the Society. Committee shall have one vote. An affirmative vote on any proposal before the Executive Committee shall Section 8. The Council shall also have power be declared if, and only if, at least four affirmative to speak in the name of the Society with respect votes are cast for the proposal. A vote on any to matters affecting the status of mathematics proposal may be determined at a meeting of the or mathematicians, such as proposed or enacted Executive Committee, but it shall not be necessary federal or state legislation; conditions of employment to hold a meeting to determine a vote. in universities, colleges, or business, research or industrial organizations; regulations, policies, or acts ARTICLE VI of governmental agencies or instrumentalities; and Executive Director other items which tend to affect the dignity and effective position of mathematics. Section 1. There shall be an Executive Director who shall be a paid employee of the Society. He shall With the exception noted in the next paragraph, a have charge of the central office of the Society, and favorable vote of two-thirds of the entire membership he shall be responsible for the general administration of the Council, taken in accordance with the of the affairs of the Society in accordance with the provisions of a vote by roll call as specified in Section policies that are set by the Board of Trustees and by 4 of this Article, shall be necessary to authorize any the Council. statement in the name of the Society with respect Section 2. The Executive Director shall be to such matters. With the exception noted in the appointed by the Board of Trustees with the consent next paragraph, such a vote may be taken only if of the Council. The terms and conditions of his written notice shall have been given to the secretary employment shall be fixed by the Board of Trustees. by the proposer of any such resolution not later than Section 3. The Executive Director shall work one month prior to the Council meeting at which the under the immediate direction of a committee matter is to be presented; and the vote shall be taken consisting of the president, the secretary, and the not earlier than one month after the resolution has treasurer, of which the president shall be chairman been discussed by the Council. ex officio. The Executive Director shall attend If, at a meeting of the Council, there are present meetings of the Board of Trustees, the Council, and members having a total of twelve votes, as specified the Executive Committee, but he shall not be a for a vote by roll call in Section 4 of this Article, then member of any of these bodies. He shall be a voting the prior notification to the secretary may be waived member of the Committee to Monitor Problems in by unanimous consent. In such a case, a unanimous Communication but shall not be its chairman. favorable vote by those present shall empower the Council to speak in the name of the Society. ARTICLE VII The Council may also refer the matter to a Election of Officers and Terms of Office referendum by mail of the entire membership of the Section 1. The term of office shall be one year in Society, and shall make such reference if a referendum the case of the president-elect and the ex-president;

810 five years in the case of the trustees; two years in member is elected to the Executive Committee for the case of the president, the vice-presidents, the a term extending beyond his regular term on the secretary, the associate secretaries, the treasurer, and Council, he shall automatically continue as a member the associate treasurer. The term of office in the of the Council during his term on the Executive case of members of the publications committees and Committee. elected members of the communications committees Section 5. The president and vice-presidents shall shall be four years for the Proceedings and the not be eligible for immediate re-election to their Transactions and Memoirs committees and three respective offices. A member-at-large or an ex officio years for the remaining committees, except that member of the Council shall not be eligible for when the size of a publications or communications immediate election (or re-election) as a member-at committee is changed, the Council may authorize the large of the Council. election of a member for a shorter term. The term Section 6. If the president of the Society should of office for members-at-large of the Council shall die or resign while a president-elect is in office, be three years, five of the members-at-large retiring the president-elect shall serve as president for the annually. The term of office for elected members remainder of the year and thereafter shall serve of the Executive Committee shall be two years, two his regular two-year term. If the president of the of the elected members retiring annually. All terms Society should die or resign when no president-elect of office shall begin on January 1 and terminate on is in office, the Council, with the approval of the December 31 with the exception that the officials Board of Trustees, shall designate one of the vice specified in Articles I, II, III, IV, and V (excepting presidents to serve as president for the balance of the president-elect and ex-president) shall continue the regular presidential term. If the president-elect to serve until their successors have been duly elected of the Society should die or resign before becoming and qualified. The members of a communications president, his office shall remain vacant until the next committee with terms ending on December 31 are regular election of a president-elect, and the Society meeting, elect a president designated as past members through February 10 of shall, at the next annual for a two-year term. If the ex-president should die the following year. or resign before expiration of his term of office, the vice-presidents, Section 2. The president-elect, the Council, with the approval of the Board of Trustees, the secretary, the associate secretaries, the treasurer, shall designate a former president of the Society to the associate treasurer, the trustees, the members serve as ex-president during the remainder of the of the publications and communications committees, regular term of the ex-presidency. Such vacancies and the members-at-large of the Council shall be as may occur at any time in the group consisting elected by written ballot. An official ballot shall be of the vice-presidents, the secretary, the associate sent to each member of tlie Society by the secretary secretaries, the treasurer, the associate treasurer, and on or before October 10, and such ballots, if returned the members of the publications and communications to the secretary in envelopes bearing the name of committes shall be filled by the Council with the the voter and received within thirty days, shall be approval of the Board of Trustees. If a member of counted. Each ballot shall contain one or more a publications or communications committee should names proposed by the Council for each office to take temporary leave from his duties, that committee be filled, with blank spaces in which the voter may shall nominate a substitute for consideration by the substitute other names. A plurality of all votes cast Council. The Council shall then elect a substitute. shall be necessary for election. In case of failure to The Council shall fill from its own membership any secure a plurality for any office, the Council shall vacancy in the elected membership of the Executive choose by written ballot among the members having Committee. the highest number of votes. Each communications Section 7. If any elected trustee should die or committee elects one of its members as chairman in resign during his tenure of office, the vacancy thus a manner and for a term designated by the Council. created shall be filled for his unexpired term by the Past members, as designated in Section 1, may be Board of Trustees. authorized to vote in this election. Section 8. If any member-at-large of the Council Section 3. At the end of his term of office, the should die or resign more than one year before the president-elect shall become the president. At the expiration of his term, the vacancy for the unexpired end of his term of office, the president shall become term shall be filled by the Society at the next annual the ex-president. meeting. Section 4. On or before January 15, the secretary Section 9. In case any officer should die or decline shall send to all members of the Council for a mail to serve between the time of election and the time at vote a ballot containing two names for each place to which he was to assume office, the vacancy shall be be filled on the Executive Committee. The nominees filled in the same manner as if he had served one day shall be chosen by a committee appointed by the of his term. president. Members of the Council may vote for ARTICLEVTII persons not nominated. Any member of the Council who is not an ex officio member of the Executive Members and Their Election Committee (see Article V, Section 1) shall be eligible Section 1. Election of members shall be by vote for election to the Executive Committee. In case a of the Council or of its Executive Committee.

811 Section 2. There shall be four classes of Section 8. After retirement from active service on members, namely ordinary, contributing, corporate, account of age, any ordinary or contributing member and institutional. who is not in arrears of dues and with membership Section 3. Application for admission to ordinary extending over at least twenty years may, by giving membership shall be made by the applicant on a proper notification to the secretary, have his dues blank provided by the secretary. Such applications remitted, on the understanding that he will thereafter shall not be acted upon until at least thirty days receive the Notices but not the Bulletin. after their presentation to the Council (at a meeting Section 9. An ordinary or contributing member or by mail), except in the case of members of other shall receive the Notices and Bulletin as privileges societies entering under special action of the Council of membership during each year for which his dues approved by the Board of Trustees. have been discharged. · Section 4. An ordinary member may become a Section 10. The annual dues of ordinary, contributing member by paying the dues for such contributing, and corporate members shall be due by membership. (See Article IX, Section 3.) January 1 of the year to which they apply. The Section 5. A university or college, or a firm, Society shall submit bills for dues. If the annual dues corporation, or association interested in the support of any member remain undischarged beyond what of mathematics may be elected a corporate or an the Board of Trustees deems to be a reasonable time, institutional member. his name shall be removed from the list of members after due notice. If a member wishes to discontinue ARTICLE IX his membership at any time, he shall submit his Dues and Privileges of Members resignation in writing to the Society. Section 1. Any applicant shall be admitted to Section 11. Any member who became a life ordinary membership immediately upon election by member before October 25, 1941, by the payment the Council (Article VIII) and the discharge within of a sum determined in accordance with actuarial sixty days of election of his first annual dues. Dues principles, shall have for life the status and privileges may be discharged by payment or by remission when of an ordinary member without further payment of the provision of Section 7 of this Article is applicable. dues. No additional applications for life memberships The first annual dues shall apply to the year of will be accepted. election, except that if any applicant is elected after August 15 of any year, he may elect to have his first ARTICLE X annual dues apply to the following year. Meetings Section 2. The annual dues of an ordinary member Section 1. The annual meeting of the Society of the Society shall be established by the Council shall be held between the fifteenth of December and with the approval of the Trustees. The Council, with the tenth of February next following. Notice of the the approval of the Trustees, may establish special time and place of this meeting shall be mailed by rates in exceptional cases and for members of an the secretary or an associate secretary to the last organization with which the Society has a reciprocity known post office address of each member of the agreement. Society. The times and places of the annual and Section 3. The minimum dues for a contributing other meetings of the Society shall be designated member shall be three-halves of the dues of an by the Council. There shall be a business meeting ordinary member per year. Members may, upon their of the Society at the annual meeting and at the own initiative, pay larger dues. summer meeting. A business meeting of the Society Section 4. The minimum dues of an institutional shall take final action only on business accepted by member shall depend on the amount of published unanimous consent, or business notified to the full material credited to that member in certain journals membership of the Society in the call for the meeting, during a specific period. The formula for computing except that the business meetings held at either the these dues shall be established from time to time annual meeting or the summer meeting may take final by the Council, subject to approval by the Board of action on business which has been recommended for Trustees. Institutions may pay larger dues than the consideration by the Council and has been accepted computed minimum. by the vote of four-fifths of the Society present and Section 5. The minimum annual dues of a voting at such a meeting. Such notification shall be corporate member shall be one thousand dollars. made only when so directed by a previous business Section 6. The privileges of a corporate or an meeting of the Society or by the Council. institutional member shall depend on its dues in a Section 2. Meetings of the Executive Committee manner to be determined by the Council, subject to may be called by the president; he shall call a meeting approval by the Board of Trustees. These privileges at any time upon the written request of two of its shall be in terms of Society publications to be received members. by the institution and of the number of persons it may Section 3. The Council shall meet at the annual nominate for ordinary membership in the Society. meeting of the Society. Special meetings of the Section 7. The dues of an ordinary member of the Council may be called by the president; he shall call a Society shall be remitted for any years during which special meeting at any time upon the written request he is the nominee of an institutional member. of five of its members. No special meeting of the

812 Council shall be held unless written notice of it shall Publications which shall embody in book form new have been sent to all members of the Council at least mathematical developments. It shall publish a series ten days before the day set for the meeting. of monographs called Mathematical Surveys which Section 4. The Board of Trustees shall hold at shall furnish expositions of the principal methods least one meeting in each calendar year. Meetings of and results of particular fields of mathematical the Board of Trustees may be called by the president, research. It shall also cooperate in the conduct of the treasurer, or the secretary of the Society upon the American Journal of Mathematics. It shall three-days' notice of such meetings mailed to the publish a news periodical known as the Notices last known post office address of each trustee. The of the American Mathematical Society, containing secretary of the Society shall call a meeting upon the programs of meetings, items of news of particular receipt of a written request of two of the trustees. interest to mathematicians, and such other materials Meetings may also be held by common consent of all as the Council may direct. the trustees. Section 2. The editorial management of the Section 5. Papers intended for presentation at any publications of the Society listed in Section 1 of this meeting of the Society shall be passed upon in advance article, with the exception of the Notices, and the by a program committee appointed by or under the participation of the Society in the editorial manage authority of the Council; and only such papers shall ment of the American Journal of Mathematics shall be presented as shall have been approved by such be in the charge of the respective editorial committees committee. Papers in form unsuitable for publication, as provided in Article III, Section 2. The editorial if accepted for presentation, shall be referred to on the management of the Notices shall be in the hands of program as preliminary communications or reports. a committee chosen in a manner established by the Council. ARTICLE XI Publications ARTICLE XII Communications Section 1. The Society shall publish an official organ called the Bulletin of the American Math The Committee to Monitor Problems in Com ematical Society. It shall publish three jour munication shall perform such tasks in the field of nals, known as the Transactions of the American communication of mathematics as are assigned to it Mathematical Society, the Proceedings of the by the Council. American Mathematical Society, and Mathematics ARTICLE XIII of Computation. It shall publish a series of mathematical papers known as the Memoirs of the Amendments American Mathematical Society. The object of the These bylaws may be amended or suspended at Transactions, Proceedings, Memoirs, and Mathe any meeting of the Society on recommendation of matics of Computation is to make known important the Council and by a two-thirds vote of the members mathematical researches. It shall publish a periodical present, provided notice of such proposed action and called Mathematical Reviews, containing abstracts of its general nature shall have been given in the call or reviews of current mathematical literature. It for such meeting. shall publish a series of volumes called Colloquium

Presidents R. L. Moore, 1937, 1938 Secretaries J. H. Van Amringe, 1889, 1890 G. C. Evans, 1939, 1940 Marston T. S. Fiske, 1888--1895 J. E. McClintock, 1891-1894 Morse, 1941, 1942 M. H. Stone, F. N. Cole, 1896-1920 G. W. Hill, 1895, 1896 1943, 1944 T. H. Hildebrandt, R. G. D. Richardson, 1921-1940 Simon Newcomb, 1897, 1898 1945, 1946 Einar Hille, 1947, J. R. Kline, 1941-1950 R. S. Woodward, 1899, 1900 1948 J. L. Walsh, E. G. Begle, 1951-1956 E. H. Moore, 1901, 1902 1949, 1950 John von J. W. Green, 1957-1966 T. S. Fiske, 1903, 1904 Neumann, 1951, 1952 G. T. Whyburn, Everett Pitcher, 1967- W. F. Osgood, 1905, 1906 1953, 1954 R. L. Wilder, H. S. White, 1907, 1908 1955, 1956 Richard Brauer, Treasurers Maxime Bocher, 1909, 1910 1957, 1958 E. J.McShane, T. S. Fiske, 1890, 1891 H. B. Fine, 1911, 1912 1959,1960 Deane Montgomery, 1961, 1962 Harold Jacoby, 1892-1894 E. B. Van Vleck, 1913, 1914 R. S. Woodward, 1895, 1896 E. W. Brown, 1915, 1916 J. L. Doob, 1963, 1964 A. A. Albert, 1965, 1966 Harold Jacoby, 1897-1899 L. E. Dickson, 1917, 1918 W. S. Dennett, 1900--1907 Frank Morley, 1919, 1920 C. B. Morrey, Jr., 1967, 1968 Oscar Zariski, J. H. Tanner, 1908--1920 G. A. Bliss, 1921, 1922 1969, 1970 Nathan Jacobson, W. B. Fite, 1921-1929 Oswald Veblen, 1923, 1924 1971, 1972 Saunders Ma.c Lane, 1973, 1974 G. W. Mullins, 1930-1936 G. D. Birkholf, 1925, 1926 P. A. Smith, 1937 Virgil Snyder, 1927, 1928 Lipman Bers, 1975, 1976 R. H. Bing, B. P. Gill, 1938-1948 E. R. Hedrick, 1929, 1930 1977, 1978 Peter D. La.x, A. E. Meder, Jr., 1949-1964 L. P. Eisenhart, 1931, 1932 1979, 1980 Andrew M. W. T. Martin, 1965-1973 A. B. Coble, 1933, 1934 Gleason, 1981, 1982 Julia. B. Robinson, F. P. Peterson, 1973- Solomon Lefschetz, 1935, 1936 1983, 1984

813 FUNDS Society, volume 36 (1934), pp. 445-492, and volume 37 (1935), pp. 21-50. Sixth award, 1943: To Jesse Douglas for his Endowment Fund memoirs, Green's function and the problem of Plateau, American Journal of Mathematics, volume In 1923 an Endowment Fund was collected to 61 (1939), pp. 545-589; The most general form meet the greater demands on the publication pro of the problem of Plateau, American Journal of gram of the Society, these demands caused by the Mathematics, volume 61 (1939), pp. 590-608; and ever-increasing number of important mathematical Solution of the inverse problem of the calculus of memoirs. Of this fund, which amounted to ap variations, Proceedings of the National Academy of proximately $94,000 in 1960, a considerable propor Sciences, volume 25 (1939), pp. 631-637. tion was contributed by members of the Society. In Seventh award, 1948: To A. C. Schaeffer and D. 1961, upon the death of the last legatees under the C. Spencer for their memoir, Coefficients of schlicht will of the late Robert Henderson-for many years functions. I, II, III, IV, Duke Mathematical Journal, a Trustee of the Society-the entire principal of the volume 10 (1943), pp. 611-635, volume 12 (1945), estate was received by the Society, thereby bringing pp. 107-125, and the Proceedings of the· National the total of the Endowment Fund to approximately Academy of Sciences, volume 32 (1946), pp. 111-116, $648,000. volume 35 (1949), pp. 143-150. Eighth award, 1953: To Norman Levinson for Prize Funds his contributions to the theory of linear, nonlinear, ordinary, and partial differential equations contained The Boeher Memorial Prize in his papers of recent years. This prize was founded in memory of Professor Ninth award, 1959: To Louis Nirenberg for his work Maxime Bocher with an original endowment of $1,450. in partial differential equations. It is awarded every five years for a notable research memoir in analysis which has appeared during the Tenth award, 1964: To Paul J. Cohen for his paper, past five years. Either the recipient is a member of On a conjecture of Littlewood and idempotent the Society or the Memoir is published in a recognized measures, American Journal of Mathematics, volume North American journal; this provision, introduced 82 (1960), pp. 191-212. in 1971, is a liberalization of the terms of the award. Eleventh award, 1969: To I. M. Singer in recognition First (preliminary) award, 1923: To G. D. Birkhoff of his work on the index problem, especially his for his memoir, Dynamical systems with two share in two joint papers with Michael F. Atiyah, degrees of freedom. Transactions of the American The index of elliptic operators. I, III, Annals of Mathematical Society, volume 18 (1917), pp. 199-300. Mathematics, Series 2, volume 87 (1968), pp. 484-530, 546-604. Second award, 1924: To E. T. Bell for his memoir, Twelfth award, 197 4: To Donald S. Ornstein Arithmetical paraphrases. I, II, Transactions of the in recognition of his paper, Bernoulli shifts with American Mathematical Society, volume 22 (1921), the same entropy are isomorphic, Advances in pp. 1-30, 198-219; and to Solomon Lefschetz Mathematics, volume 4 (1970), pp. 337-352. for his memoir, On certain numerical invariants with applications to Abelian varieties, Transactions Thirteenth award, 1979: To Alberto P. Calderon in of the American Mathematical Society, volume 22 recognition of his fundamental work on the theory of (1921), pp. 407-482. singular integrals and partial differential equations, · and in particular for his paper Cauchy integrals on Third award, 1928: To J. W. Alexander for his Lipschitz curves and related operators, Proceedings memoir, Combinatorial analysis situs, Transactions of the National Academy of Sciences, USA, volume of the American Mathematical Society, volume 28 74 (1977), pp. 1324-1327. (1926), pp. 301-329. The Frank Nelson Cole Prize in Algebra Fourth award, 1933: To Marston Morse for his memoir, The foundations of a theory of the The Frank Nelson Cole Prize in Number Theory calculus of variations in the large in m-space, These prizes were founded in honor of Professor Transactions of the American Mathematical Society, Frank Nelson Cole on the occasion of his retirement volume 31 (1929), pp. 379-404; and to Norbert as secretary of the American Mathematical Society Wiener for his memoir, Tauberian theorems, Annals after twenty-five years of service as editor-in-chief of Mathematics, Series 2, volume 33 (1932), pp. of the Bulletin. The original fund was donated 1-100. by Professor Cole from moneys presented to him on his retirement, was augmented by contributions from Fifth award, 1938: To John von Neumann for his members of the Society, and was later doubled by memoir, Almost periodic functions and groups. his son, Charles A. Cole. The present endowment I, II, Transactions of the American Mathematical is $2,250. The prizes are awarded at five-year

814 intervals for contributions to algebra and the theory characters, Annals of Mathematics, Series 2, volume of numbers, respectively, under restrictions similar to 48 (1947), pp. 502-514. those for the Bacher Prize. Eighth award, 1951: To Paul Erdos for his many First award, 1928: To L. E. Dickson for his papers in the theory of numbers, and in particular for book Algebren und ihre Zahlentheorie, Orell Fiissli, his paper, On a new method in elementary number Ziirich and Leipzig, 1927. theory which leads to an elementary proof of the Second award, 1931: To H. S. Vandiver for his prime number theorem, Proceedings of the National several papers on Fermat's last theorem published Academy of Sciences, volume 35 (1949), pp. 374-385. in the Transactions of the American Mathematical Society and in the Annals of Mathematics during the Ninth award, 1954: To Harish-Chandra for his preceding five years, with special reference to a paper papers on representations of semisimple Lie algebras entitled On Fermat's last theorem, Transactions and groups, and particularly for his paper, On some of the American Mathematical Society, volume 31 applications of the universal enveloping algebra (1929), pp. 613-642. of a semisimple Lie algebra, Transactions of the American Mathematical Society, volume 70 (1951), Third award, 1939: To A. Adrian Albert for his pp. 28-96. papers on the construction of Riemann matrices published in the Annals of Mathematics, Series 2, Tenth award, 1956: To John T. Tate for his volume 35 (1934) and volume 36 (1935). paper, The higher dimensional cohomology groups Fourth award, 1941: To Claude Chevalley for his of class field theory, Annals of Mathematics, Series paper, La theorie du corps de classes, Annals of 2, volume 56 (1952), pp. 294-297. Mathematics, Series 2, volume 41 (1940), pp. 394-418. Eleventh award, 1960: To Serge Lang for his Fifth award, 1944: To Oscar Zariski for four papers paper, Unramified class field theory over function on algebraic varieties published in the American fields in several variables, Annals of Mathematics, Journal of Mathematics, volumes 61 (1939) and 62 Series 2, volume 64 (1956), pp. 285-325; and to (1940), and in the Annals of Mathematics, Series 2, Maxwell A. Rosenlicht for his papers, Generalized volumes 40 (1939) and 41 (1940). Jacobian varieties, Annals of Mathematics, Series Sixth award, 1946: To H. B. Mann for his paper, A 2, volume 59 (1954), pp. 505-530, and A universal proof of the fundamental theorem on the density mapping property of generalized Jacobians, Annals of sums of sets of positive integers, Annals of of Mathematics, Series 2, volume 66 (1957), pp. Mathematics, Series 2, volume 43 (1942), pp. 523- 80-88. 527. Twelfth award, 1962: To Kenkichi Iwasawa for his Seventh award, 1949: To Richard Brauer for his paper, Gamma extensions of number fields, Bulletin paper, On Artin's L-series with general group of the American Mathematical Society, volume 65

Colloquium Leeturers James Pierpont, 1896 H. S. Vandiver, 1935 Raoul H. Bott, 1969 Maxime Bacher, 1896 E. W. Chittenden, 1936 Harish-Chandra, 1969 W. F. Osgood, 1898 John von Neumann, 1937 R. H. Bing, 1970 A. G. Webster, 1898 A. A. Albert, 1939 Lipman Bers, 1971 Oskar Bolza, 1901 ~. H. Stone, 1939 Armand Borel, 1971 E. W. Brown, 1901 G. T. Whyburn, 1940 Stephen Smale, 1972 H. S. White, 1903 Oystein Ore, 1941 John T. Tate, 1972 F. S. Woods, 1903 R. L. Wilder, 1942 M. F. Atiyah, 1973 E. B. Van Vleck, 1903 E. J. ~cShane, 1943 E. A. Bishop, 1973 E. H. ~oore, 1906 Einar Hille, 1944 F. E. Browder, 1973 E. J. Wilczynski, 1906 Tibor Rad6, 1945 Louis Nirenberg, 1974 Max ~son, 1906 Hassler Whitney, 1946 John G. Thompson, 1974 G. A. Bliss, 1909 Oscar Zariski, 1947 H. Jerome Keisler, 1975 Edward Kasner, 1909 FtichardBrauer, 1948 Ellis R. Kolchin, 1975 L. E. Dickson, 1913 G. A. Hedlund, 1949 Elias M. Stein, 1975 W. F. Osgood, 1913 Deane ~ontgomery, 1951 I. M. Singer, 1976 G. C. Evans, 1916 Alfred Tarski, 1952 Jiirgen K. Moser, 1976 Oswald Veblen, 1916 Antoni Zygmund, 1953 William Browder, 1977 G. D. Birkhoft', 1920 Nathan Jacobson, 1955 Herbert Federer, 1977 F. R. ~oulton, 1920 Salomon Bochner, 1956 Hyman Bass, 1978 L. P. Eisenhart, 1925 N. E. Steenrod, 1957 Philip A. Griffiths, 1979 Dunham Jackson, 1925 J. L. Doob, 1959 George D. Mostow; 1979 E. T. Bell, 1927 S. S. Chern, 1960 Julia B. Robinson, 1980 Anna Pell-Wheeler, 1927 G. W. ~~ 1961 Wolfgang M. Schmidt, 1980 A. B. Coble, 1928 Saunders~ Lane, 1963 Mark Kac, 1981 R. L. ~oore, 1929 C. B. ~orrey, Jr., 1964 Serge Lang, 1981 Solomon Lefschetz, 1930 A. P. Calderon, 1965 Dennis Sullivan, 1982 Marston Morse, 1931 Samuel Ellenberg, 1967 Morris W. Hirsch, 1982 J. F. Ftitt, 1932 D. C. Spencer, 1968 Charles L. FetTerman, 1983 R. E. A. C. Paley, 1934 J. W. Milnor, 1968 Bertram Kostant, 1983 Norbert Wiener, 1934

815 {1959), pp. 183-226; and to Bernard M. Dwork for his modular forms of half integral weight, Annals of paper, On the rationality of the zeta function of an Mathematics, Series 2, volume 97 {1973), pp. 440-481. algebraic variety, American Journal of Mathematics, Nineteenth award, 1980: To Michael Aschbacher for volume 82 (1960), pp. 631-648. his paper, A characterization of Chevalley groups Thirteenth award, 1965: To Walter Feit and John over fields of odd order, Annals of Mathematics, G. Thompson for their joint paper, Solvability of Series 2, volume 106 (1977), pp. 353-398; and groups of odd order, Pacific Journal of Mathematics, to Melvin Hochster for his paper Topics in the volume 13 {1963), pp. 775-1029. homological theory of commutative rings, CBMS Regional Conference Series in Mathematics, Number Fourteenth award, 1967: To James B. Ax and 24, American Mathematical Society, 1975. Simon B. Kochen for a series of three joint papers, Diophantine problems over local fields. I, II, III, Twentieth award, 1982: To Robert P. Langlands American Journal of Mathematics, volume 87 (1965), for pioneering work on automorphic forms, Eisenstein pp. 605-630, 631-648, and Annals of Mathematics, series and product formulas, particularly for his paper Series 2, volume 83 (1966), pp. 437-456. Base change for GL(2), Annals of Mathematics Studies, volume 96, Princeton University Press, 1980; Fifteenth award, 1970: To John R. Stallings for his and to Barry Mazur for outstanding work on elliptic paper, On torsion-free groups with infinitely many curves and Abelian varieties, especially on rational ends, Annals of Mathematics, Series 2, volume 88 points of finite order, and his paper Modular (1968), pp. 312-334; and to Richard G. Swan for curves and the Eisenstein ideal, Publications his paper, Groups of cohomological dimension one, Mathematiques de l'Institut des Hautes Etudes Journal of Algebra, volume 12 (1969), pp. 585-610. Scientifiques, volume 47 (1977), pp. 33-186. Sixteenth award, 1972: To Wolfgang M. Schmidt for the following papers: On simultaneous approxima The Oswald Veblen Prize in Geometry tion of two algebraic numbers by rationals, Acta This prize was established in 1961 in memory of Mathematica (Uppsala), volume 119 (1967), pp. 27-50; Professor Oswald Veblen through a fund contributed T-numbers do exist, Symposia Mathematica, volume by former students and colleagues. The fund was IV, Academic Press, 1970, pp. 1-26; Simultaneous later doubled by the widow of Professor Veblen, approximation to algebraic numbers by rationals, bringing the fund to $2,000. The first two awards of Acta Mathematica (Uppsala), volume 125 (1970), pp. the prize were made in 1964 and the next in 1966; 189-201; On Mahler's T-numbers, Proceedings of thereafter, an award will ordinarily be made every Symposia in Pure Mathematics, volume 20, American five years for research in geometry or topology under Mathematical Society, 1971, pp. 275-286. conditions similar to those for the Bacher Prize. Seventeenth award, 1975: To Hyman Bass for his First award, 1964: To C. D. Papakyriakopoulos for paper, Unitary algebraic K-theory, Springer Lecture his papers, On solid tori, Annals of Mathematics, Notes in Mathematics, volume 343, 1973; and to Series 2, volume 66 (1957), pp. 1-26, and On Dehn 's Daniel G. Quillen for his paper, Higher algebraic lemma and the asphericity of knots, Proceedings of K-theories, Springer Lecture Notes in Mathematics, the National Academy of Sciences, volume 43 {1957), volume 341, 1973. pp. 169-172. Eighteenth award, 1977: To Goro Shimura for Second award, 1964: To Raoul Bott for his papers, his two papers, Class fields over real quadratic The space of loops on a Lie group, Michigan fields and Heche operators, Annals of Mathematics, Mathematical Journal, volume 5 (1958), pp. 35-61, Series 2, volume 95 {1972), pp. 130-190; and On and The stable homotopy of the classical groups,

Gibbs Lecturers M. I. Pupin, 1923 S. Chandrasekhar, 1946 D. H. Lehmer, 1965 Robert Henderson, 1924 P. M. Morse, 1947 Martin Schwarzschild, 1966 James Pierpont, 1925 Hermann Weyl, 1948 Mark Kac, 1967 H. B. Williams, 1926 Norbert Wiener, 1949 E. P. Wigner, 1968 E. W. Brown, 1927 G. E. Uhlenbeck, 1950 R. L. Wilder, 1969 G. H. Hardy, 1928 Kurt GOdel, 1951 W. H. Munk, 1970 Irving Fisher, 1929 Marston Morse, 1952 E. F. F. Hopf, 1971 E. B. Wilson, 1930 Wassily Leontief, 1953 F. J. Dyson, 1972 P. W. Bridgman, 1931 K. 0. Friedrichs, 1954 J. K. Moser, 1973 R. C. Tolman, 1932 J. E. Mayer, 1955 Paul A. Samuelson, 1974 Albert Einstein, 1934 M. H. Stone, 1956 Fritz John, 1975 Vannevar Bush, 1935 H. J. Muller, 1958 ArthurS. Wightman, 1976 H. N. Russell, 1936 J. M. Burgers, 1959 Joseph B. Keller, 1977 C. A. Kraus, 1937 Julian Schwinger, 1960 Donald E. Knuth, 1978 Theodore von Karm&n, 1939 J. J. Stoker, 1961 Martin D. Kruskal, 1979 Sewall Wright, 1941 C. N. Yang, 1962 Kenneth G. Wilson, 1980 Harry Bateman, 1943 C. E. Shannon, 1963 Cathleen S. Morawetz, 1981 John von Neumann, 1944 Lars Onsager, 1964 Elliott W. Montroll, 1982 J. C. Slater, 1945 Samuel Karlin, 1983

816 Annals of Mathematics, Series 2, volume 70 (1959), partial differential equations, especially his work on pp. 313-337. existence and regularity theory for nonlinear elliptic equations, and applications of his work to the theory Third award, 1966: To Stephen Smale for his contributions to various aspects of differential of minimal surfaces in higher dimensions. topology. Fourth award, 1978: To Garrett Birkhofffor bringing Fourth award, 1966: To Morton Brown and Barry the methods of algebra and the highest standards of Mazur for their work on the generalized Schoenflies mathematics to scientific applications. theorem. Fifth award, 1978: To Mark Kac for his impor Fifth award, 1971: To Robion C. Kirby for his tant contributions to statistical mechanics and to paper, Stable homeomorphisms and the annulus probability theory and its applications. conjecture, Annals of Mathematics, Series 2, volume Sixth award, 1978: To Clifford A. Truesdell for 89 (1969), pp. 575-582. his outstanding contributions to our understanding Sixth award, 1971: To Dennis P. Sullivan for of the subjects of rational mechanics and nonlinear his work on the Hauptvermutung summarized in materials, for his efforts to give precise mathematical the paper, On the Hauptvermutung for manifolds, formulation to these classical subjects, for his many Bulletin of the American Mathematical Society, contributions to applied mathematics in the fields of volume 73 (1967), pp. 598-600. acoustic theory, kinetic theory, and nonlinear elastic Seventh award, 1976: To William P. Thurston for theory, and the thermodynamics of mixtures, and for his work on foliations. his major work in the history of mechanics. Eighth award, 1976: To James Simons for his work Seventh award, 1983: To Paul R. Garabedian for on minimal varieties and characteristic forms. his important contributions to partial differential equations, to the mathematical analysis of problems Ninth award, 1981: To Mikhael Gromov for his of transonic flow and airfoil design by the method work relating topological and geometric properties of of complexification, and to the development and Riemannian manifolds. application of scientific computing to problems of Tenth award, 1981: To Shing-Tung Yau for his fluid dynamics and plasma physics. work in nonlinear partial differential equations, his contributions to the topology of differentiable The Norbert Wiener Prize manifolds, and for his work on the complex Mange in Applied Mathematics Ampere equation on compact complex manifolds. This prize was established in 1967 in honor of The George David Birkhotf Prize Professor Norbert Wiener and was endowed by a in Applied Mathematics fund amounting to $2,000 from the Department of Mathematics of the Massachusetts Institute of This prize was established in 1967 in honor Technology. The prize is normally awarded every of Professor George David Birkhoff. The initial five years, beginning in 1970, for an outstanding endowment of $2,066 was contributed by the Birkhoff contribution to "applied mathematics in the highest family. It is normally awarded every five years, and broadest sense." The award is made jointly beginning in 1968, for an outstanding contribution to ''applied mathematics in the highest and broadest by the American Mathematical Society and the sense." The award is made jointly by the American Society for Industrial and Applied Mathematics. The Mathematical Society and the Society for Industrial recipient must be a member of one of these societies and Applied Mathematics. The recipient must be a and a resident of the United States, Canada, or member of one of these societies and a resident of the Mexico. United States, Canada, or Mexico. First award, 1970: To Richard E. Bellman for his First award, 1968: To Jiirgen K. Moser for his pioneering work in the area of dynamic programming, contributions to the theory of Hamiltonian dynamical and for his related work on control, stability, and systems, especially his proof of the stability of differential-delay equations. periodic solutions of Hamiltonian systems having two Second award, 1975: To Peter D. Lax for his broad degrees of freedom and his specific applications of the ideas in connec.tion with this work. contributions to applied mathematics, in particular, for his work on numerical and theoretical aspects Second award, 1973: To Fritz John for his of partial differential. equations and on scattering outstanding work in partial differential equations, theory. in numerical analysis, and, particularly, in nonlinear elasticity theory; the latter work has led to his study Third award, 1980: To Tosio Kato for his of quasi-isometric mappings as well as functions of distinguished work in the perturbation theory of bounded mean oscillation, which have had impact in quantum mechanics. other areas of analysis. Fourth award, 1980: To Gerald B. Whitham Third award, 1973: To James B. Serrin for his for his broad contributions to the understanding fundamental contributions to the theory of nonlinear of fluid dynamical phenomena and his innovative

817 contributions to the methodology through which that Bulletin of the London Mathematical Society, volume understanding can be constructed. 4 (1972), pp. 257-300.

The Leroy P. Steele Prizes January 1975: To Martin D. Davis for his paper, Hilbert's tenth problem is unsolvable, American These prizes were established in 1970 in honor of Mathematical Monthly, volume 80 (1973), pp. 233- George David Birkhoff, William Fogg Osgood, and 269. William Caspar Graustein, and are endowed under the terms of a bequest amounting to $145,000 from January 1975: To Joseph L. Taylor for his paper, Leroy P. Steele. From 1970 to 1976 one or more prizes Measure algebras, CBMS Regional Conference Series were awarded each year for outstanding published in Mathematics, Number 16, American Mathematical mathematical research; most favorable consideration Society, 1972. was given to papers distinguished for their exposition August 1975: To George W. Mackey for his paper, and covering broad areas of mathematics. In 1977 Ergodic theory and its significance for statistical the Council of the AMS modified the terms under mechanics and probability theory, Advances in which the prizes are awarded. Since then, up to three Mathematics, volume 12 (1974), pp. 178-286. prizes have been awarded each year in the following categories: (1) for the cumulative influence of the August 1975: To H. Blaine Lawson for his paper, total mathematical work of the recipient, high level Foliations, Bulletin of the American Mathematical of research over a period of time, particular influence Society, volume 80 (1974), pp. 369-418. on the development of a field, and influence on mathematics through Ph.D. students; (2) for a book 1976, 1977, 1978: No awards were made. or substantial survey or expository-research paper; January 1979: To Salomon Bochner for his (3) for a paper, whether recent or not, which has cumulative influence on the fields of probability proved to be of fundamental or lasting importance in theory, Fourier analysis, several complex variables, its field, or a model of important research. and differential geometry. August 1970: To Solomon Lefschetz for his paper, January 1979: To Hans Levy for three fundamental A page of mathematical autobiography, Bulletin papers: On the local character of the solutions of the American Mathematical Society, volume 74 of an atypical linear differential equation in (1968), pp. 854-879. three variables and a related theorem for regular August 1971: To James B. Carrell for his paper, functions of two complex variables, Annals of written jointly with Jean A. Dieudonne, Invariant Mathematics, Series 2, volume 64 (1956), pp. 514-522; theory, old and new, Advances in Mathematics, An example of a smooth linear partial differential volume 4 (1970), pp. 1-80. equation without solution, Annals of Mathematics, Series 2, volume 66 (1957), pp. 155-158; On hulls of August 1971: To Jean A. Dieudonne for his paper, holomorphy, Communications in Pure and Applied Algebraic geometry, Advances in Mathematics, Mathematics, volume 13 (1960), pp. 587-591. volume 3 (1969), pp. 223-321, and for his paper, written jointly with James B. Carrell, Invariant August 1979: To Antoni Zygmund for his cumulative theory, old and new, Advances in Mathematics, influence on the theory of Fourier series, real variables, volume 4 (1970), pp. 1-80. and related areas of analysis. August 1971: To Phillip A. Griffiths for his paper, August 1979: To Robin Hartshorne for his expository Periods of integrals on algebraic manifolds, Bulletin research article Equivalence relations on algebraic of the American Mathematical Society, volume 76 cycles and subvarieties of small codimension, (1970), pp. 228-296. Proceedings of Symposia in Pure Mathematics, volume 29, American Mathematical Society, 1975, August 1972: To Edward B. Curtis for his pp. 129-164; and his book Algebraic geometry, paper, Simplicial homotopy theory, Advances in Springer-Verlag, Berlin and New York, 1977. Mathematics, volume 6 (1971), pp. 107-209. August 1979: To Joseph J. Kohn for his fundamental August 1972: To William J. Ellison for his paper: Harmonic integrals on strongly convex paper, Waring's problem, American Mathematical domains. I, II, Annals of Mathematics, Series 2, Monthly, volume 78 (1971), pp. 10-36. volume 78 (1963), pp. 112-248 and volume 79 (1964), August 1972: To Lawrence F. Payne for his paper, pp. 450-472. Isoperimetric inequalities and their applications, August 1980: To Andre Wei! for the total effect of SIAM Review, volume 9 (1967), pp. 453-488. his work on the ge.neral course of twentieth century August 1972: To Dana S. Scott for his paper, A proof mathematics, especially in the many areas in which of the independence of the continuum hypothesis, he has made fundamental contributions. Mathematical Systems Theory, volume 1 (1967), pp. August 1980: To Harold M. Edwards for mathe 89-111. matical exposition in his books Riemann's zeta January 1975: To Lipman Bers for his paper, function, Pure and Applied Mathematics, number Uniformization, moduli, and Kleinian groups, 58, Academic Press, New York and London, 1974;

818 and Fermat's last theorem, Graduate Texts in function quantifiers, Transactions of the American Mathematics, number 50, Springer-Verlag, New York Mathematical Society 79 (1955), pp. 312-340; On and Berlin, 1977. the forms of the predicates in the theory of August 1980: To Gerhard P. Hochschild for his constructive ordinals (second paper), American significant work in homological algebra and its Journal of Mathematics 77 (1955), pp. 405-428; applications. and Hierarchies of number-theoretic predicates, Bulletin of the American Mathematical Society 61 August 1981: To Oscar Zariski for his work (1955), pp. 193-213. in algebraic geometry, especially his fundamental contributions to the algebraic foundations of this August 1983: To Shiing-Shen Chern for the subject. cumulative influence of his total mathematical work, high level of research over a period of time, particular August 1981: To Eberhard Hopf for three papers influence on the development of the field of differential of fundamental and lasting importance: Abzweigung einer periodischen Losung von einer stationiiren geometry, and influence on mathematics through Losung eines Differential systems, Berichte Ph.D. students. iiber die Verhandlungen der Siichsischen Akademie der Wissenschaften zu Leipzig. Mathematisch Special Funds Naturwissenschaftliche Klasse, volume 95 (1943), pp. 3-22; A mathematical example displaying fea AMS Research Fellowship Fund tures of turbulence, Communications on Applied Mathematics, volume 1 (1948), pp. 303-322; and This fund was established by the Society in 1973 The partial differential equation Ut +uu, = p,u,,, and provides one-year Research Fellowships awarded Communications on Pure and Applied Mathematics, each year in March. The number of fellowships volume 3 (1950), pp. 201-230. granted each year depends on the contributions the Society receives, matched by a contribution from the August 1981: To Nelson Dunford and Jacob T. Society of between $9,000 and $20,000. Schwartz for their expository book, Linear operators, Part I, General theory, 1958; Part II, Spectral First Award, 1974-1975: Fred G. Abramson and theory, 1963; Part III, Spectral operators, 1971, James Li-Ming Wang. Interscience Publishers, New York. Second award, 1975-1976: Terence J. Gaffney, Paul August 1982: To Lars V. Ahlfors for his expository Nevai, and George M. Reed. work in Complex analysis (McGraw-Hill Book Company, New York, 1953), and in Lectures on Third award, 1976-1977: Fredric D. Ancel and quasiconformal mappings (D. Van Nostrand Co., Joseph A. Sgro. Inc., New York, 1966) and Conformal invariants (McGraw-Hill Book Company, New York, 1973). Fourth award, 1977-1978: Steven Kalikow, Charles Patton, Duong-Hong Phong, and David Vogan. August 1982: To Tsit-Yuen Lam for his expository work in his book Algebraic theory of quadratic Fifth award, 1978-1979: Alan Dankner, David forms (1973), and four of his papers: K 0 and Harbater, Howard Hiller, Steven P. Kerckhoff, and K 1 -an introduction to algebraic K-theory (1975), Robert C. McOwen. Ten lectures on quadratic forms over fields (1977), Serre's conjecture (1978), and The theory of ordered Sixth award, 1979-1980: Scott W. Brown, Jeffrey E. fields (1980). Hoffstein, Jeffry N. Kahn, James E. McClure, Rick L. Smith, and Mark Steinberger. August 1982: To John W. Milnor for a paper of fundamental and lasting importance, On manifolds Seventh award, 1980-1981: Robert K. Lazarsfeld, homeomorphic to the 7 -sphere, Annals of Mathe Thomas H. Parker, and Robert Sachs. matics (2) 64 (1956), pp. 399-405. Eighth award, 1981-1982: Lawrence Man-Hou Ein August 1982: To Fritz John for the cumulative and Mark Williams. influence of his total mathematical work, high level of research over a period of time, particular influence Ninth award, 1982-1983: Nicholas J. Kuhn. on the development of a field, and influence on mathematics through Ph.D. students. Tenth award, 1983-1984: Russell David Lyons. August 1983: To Paul R. Halmos for his many The Emest William Brown Fund graduate texts in mathematics and for his articles on From the estate of Professor Ernest William how to write, talk and publish mathematics. Brown, a fund of $1,000 is available. The August 1983: To Steven C. Kleene for three Board of Trustees stipulated that the interest from important papers which formed the basis for later this fund should be used for the furtherance of developments in generalized recursion theory and such mathematical interests as (a) the publication descriptive set theory: Arithmetical predicates and of important mathematical books, memoirs, and

819 periodicals, and (b) for lectures to be delivered on The Solomon A. Joffe Fund special occasions by invited guests of the Society. A gift of $3,000 was presented to the Society by The Levi L. Conant Fund Solomon A. Joffe, and the Board of Trustees set this aside in a fund bearing his name. Levi L. Conant bequeathed a sum of $9,500 which the Trustees incorporated with the permanent The Helen A. Merrill Fund endowments for prize funds. From the estate of Professor Helen A. Merrill, a The Delbert Ray Fulkerson Fund fund of $650 is available for use of the Society at the discretion of the governing bodies. Gifts of friends of the late Professor Fulkerson have provided a fund in excess of $7,000. Part The Eliakim Hastings Moore Fund or all of the proceeds is to be used jointly by This fund was donated in 1922 in honor of the Mathematical Programming Society and the Professor Eliakim Hastings Moore on the occasion of American Mathematical Society for the award of one the twenty-fifth anniversary of the Chicago (Western) or more prizes in discrete mathematics at regular section of the Society. The income from this fund, intervals. which is $2,575, is to be used at the discretion First award, 1979: To Richard M. Karp, for of the Council for the publication of important On the computational complexity of combinatorial mathematical books and memoirs and for the award problems, Networks, volume 5 (1975), pp. 45-68; of prizes. to Kenneth Appel and Wolfgang Haken, for Every The Marion Reilly Fund planar map is four colorable, Part 1: Discharging, Illinois Journal of Mathematics, volume 21 (1977), pp. Dean Marion Reilly willed to the American 429-490; and to Paul D. Seymour, for The matroids Mathematical Society a portion of her estate to with the max-flow min-cut property, Journal of be used for the advancement of research in pure Combinatorial Theory, Series B, volume 23 (1977), mathematics. The principal of this fund is $23,600. pp. 189-222. The Joseph Fels Ritt Memorial Fund Second award, 1982: To D. B. Judin and A. S. From the estate of Estelle F. Ritt, the income Nemirovskil, for Informational complexity and from a fund of $22,500 is available for the publication effective methods of solution for convex extremal of works in the field of mathematics as shall be problems, Ekonomika i Matematicheskie Metody determined by the governing bodies of the Society. 12 (1976), 357-369, and to L. G. Khachiyan for A polynomial algorithm in linear programming, The James K. Whittemore Fund Akademiia Nauk SSSR. Doklady 244 (1979), 1093- From the estate of James K. Whittemore, a fund 1096; to G. P. Egorychev, for The solution of van of $1,000 is available for use by the Society. der Waerden 's problem for permanents, Akademiia Library Proceeds Fund Nauk SSSR. Doklady 258 (1981), 1041-1044, and D. I. Falikman, for A proof of the van der Waerden A fund of $66,000 was established by the Board of conjecture on the permanent of a doubly stochastic Trustees in 1951 from the proceeds of the sale of the matrix, Matematicheskie Zametki 29 (1981), 931-938; library of the Society. and to M. Grotschel, L. Lovasz and A. Schrijver, Friends of Mathematics Fund for The ellipsoid method and its consequences in combinatorial optimization, Combinatorica 1 An anonymous gift of $2,700 was received by the (1981), 169-197. Society in 1970. A special fund called the Friends of Mathematics Fund was created; further donations The Genevra B. Hutchinson Fund have been included in this fund, the proceeds of From the estate of Genevra B. Hutchinson, a fund which are a part of the invested assets of the Society. of $1,000 is available to be used at the discretion of The principal of this fund is now $29,584. the Council and the Board of Trustees.

820 Classified Advertisements

SUGGESTED USES for classified advertising arc books or lecture notes for sale, books being sought, positions available, exchange or rental of houses, and typing services. THE RATE IS $.55 per word with a minimum of $5.00. The same ad in 7 consecutive issues is $3.50 per word. Type will be set solid unless centering and spac ing arc requested. A centered line of any length or the equivalent in white space is $5.00. A word is defined as a group of characters with space at each end. Prepayment is required of individuals but not of institutions. For an additional $10.00 charge, announcements can be placed anonymously. Correspon dence will be forwarded.

DEADLINES are listed on the inside front cover. U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available" advertisements from institutions outside the U. 5. cannot be published unless they are accompanied by a statement that the institution does not discriminate on these grounds, whether or not it is subject to U.S. laws. Details and specific wording may be found on page 98 of the january 1983 issue of the Notices. SITUATION WANTED advertisements are accepted under terms spelled out on page A-355 of the April1979 Notices. (Deadlines are the same as for other classi fied advertisements.) SEND AD AND CHECK TO: Advertising Department, AMS, P.O. Box 6248, Providence, Rhode Island 02940. Individuals arc requested to pay in advance, in stitutions are not required to do so.

POSITIONS AVAILABLE DEPARTMENT OF MATHEMATICS UNIVERSITY OF CALIFORNIA, SANTA BARBARA UNIVERSITY OF CALIFORNIA, SANTA BARBARA DEPARTMENT OF MATHEMATICS Applications are invited for a tenure-track assistant Applications are invited for assistant professor positions professor position in statistics. Candidates must have out in the general areas of nonlinear differential equations and standing research potential and have demonstrated excel· global analysis. Successful candidates must have outstanding lence in teaching. Qualified candidates from minority groups research potential and have demonstrated excellence in and qualified women are encouraged to apply. Exceptionally teaching. Exceptionally well-qualified persons, whose back well-qualified persons, whose background and experience ground and experience warrant a tenure-level appointment warrant a tenure-level appointment are also encouraged to are also encouraged to apply. We especially encourage apply. Resumes and three letters of recommendation should applicants in the following areas: dynamical systems, global be sent prior to December 15, 1983 to james B. Robertson, or qualitative theory of nonlinear partial differential equa Department of Mathematics, University of California, Santa Barbara, CA 93106. tions, or modern mathematical physics. Resumes and letters of recommendation should be sent no later than The University of California, Santa Barbara is an equal December 15, 1983 to: ]ames B. Robertson, Chairperson, opportunity/affirmative action employer. Department of Mathematics, University of California, Santa Barbara, CA 93106 Mathematics The University of California, Santa Barbara, is an equal Virginia Polytechnic Institute & State University opportunity affirmative action employer. Applications and nominations are invited for anticipated tenure-track positions at the Assistant Professor level begin· UNIVERSITY OF CALIFORNIA ning September 1984. Candidates should have demonstrated DEPARTMENT OF MATHEMATICS, IRVINE, CA 92717 strong research potential in an area of computational mathe· matics. These persons should have expertise in areas such as Position for an Assistant Professor in the Department of numerical analysis, numerical solutions of differential equa Mathematics. Duties involve undergraduate and graduate tions, software, hardware, and applications. Applications teaching. Research area: Algebra or Analysis in the broad accepted until positions are filled. sense (including Mathematical Physics and Probability). Applicants should send a resume and three letters of Applicants must possess a Ph.D. Send applications, curricu recommendation to Bruce E. Reed, Assistant Chairman, lum vitae (work in print or preparation), a brief description Department of Mathematics, Virginia Polytechnic Institute of research plans, and three letters of recommendation. & State University, Blacksburg, Virginia 24061-4097. Appointment begins on July 1, 1984. U. C. Irvine is an The University is an Equal Opportunity/Affirmative Affirmative Action/Equal Opportunity Employer. Action Employer. Department of Mathematics Mathematics University of Kansas Virginia Polytechnic Institute & State University Applications and nominations are invited for two or more Applications and nominations are invited for anticipated tenure-track positions at the Assistant and Associate Pro senior level position beginning September 1984. Candidates fessor level beginning August 16, 1984, or as negotiated. should have a demonstrated record of outstanding research Field is unrestricted, but for one position preference will ability in an area of computational mathematics. This person be given to algebra. Otherwise, candidates whose interests should have expertise in areas such as numerical analysis, mesh well with the department's needs are preferred. numerical solutions of differential equations, software, Requires Ph.D. or doctoral dissertation accepted with only hardware, and applications. The person chosen to fill this formalities to be completed. position will have an unusual opportunity to aid in the Send detailed resume with description of past and present development of a program in computational sciences. Appli· research, and arrange for three letters of recommendation cations accepted until position is filled. to be sent to C. J. Himmelberg, Chairman, Department of Applicants should send a resume and three letters of Mathematics, University of Kansas, Lawrence, KS 66045. recommendation to Bruce E. Reed, Assistant Chairman, Deadline: December 15, 1983, for first consideration, then Department of Mathematics, Virginia Polytechnic Institute February 1, 1984, then monthly until the search is ended. & State University, Blacksburg, Virginia 24061-4097. Complete job description will be sent on request. The University is an Equal Opportunity/Affirmative The University of Kansas is an EO/AA employer. Action Employer.

821 POSITIONS AVAILABLE Faculty of Science Opening 1983/1984 SYRACUSE UNIVERSITY Department of Mathematics An independent Arab University in the Israeli-occupied West Bank of jordan has the following faculty openings for Applications are invited for several tenure-track renewable the academic year 1983/1984 in the field of: Mathematics, positions effective 1 September 1984. Strong research poten preferred areas of specialization: Topology, Applied or pure tial is of primary importance, teaching ability is essential, Mathematics, Algebra and Analysis, and Computer Science. and the Ph.D. is required. Preferred research areas include statistics, numerical analysis, and any of the specialties with· English is the basic language of instruction and candi in the broad area of analysis; other areas compatible with dates should have a Ph.D. or a Master's Degree. Starting the research activity in the department will be considered. annual salary for Ph.D. 4414 jDs., approximately $12,433, Candidates should send a detailed vita, and arrange to have and for Masters Degree 2680 J Ds., approximately $7,550. three letters of reference and a transcript sent to Professor Higher salaries are offered depending on experience. Fringe L. j. Lardy, Chairman, Department of Mathematics, Syracuse benefits include air ticket and relocation allowance for new University, Syracuse, New York 13210. Syracuse University faculty members, accident and health insurance, cost of is an affirmative action equal opportunity employer. living coverage. All applications should include resume and be addressed UNIVERSITY OF SOUTH CAROLINA to: Applications are invited for faculty positions in mathe· Dean of the Faculty of Science matics, applied mathematics, and statistics, starting Fall 1984. Birzeit University Ph.D. degree with strong research potential and dedication P.O. Box 14 to teaching at undergraduate and graduate level required. Birzeit Candidates should send vita and arrange for four letters of West Bank recommendation to be sent to Dr. William T. Trotter, Jr., Via Israel Chairman, Department of Mathematics and Statistics, Univer sity of South Carolina, Columbia, SC 29208. AA/EOE. LOUISIANA STATE UNIVERSITY DEPARTMENT OF MATHEMATICS CHAIRPERSON DEPARTMENT OF MATHEMATICS KANSAS STATE UNIVERSITY Applications and nominations are invited for the position the Tenure-track position at the Assistant Professor level for of chairperson of the Department of Mathematics. The Chair with ability. academic year 1984-1985. Salary commensurate person is the chief administrative officer of the Department Candidates must have demonstrated research ability in global and has responsibility for all aspects of the departmental work. and topology analysis and the use of differential geometry Candidates should have a strong record of research, a com physics. for the study of problems in analysis or theoretical mitment to excellence in teaching, and should be able to A Ph.D. Commitment to excellence in teaching is expected. effectively administer a large department within a state uni in mathematics or equivalent required. Starting date: August versity. Depart 13, 1984; Closing date: january 31, 1984. Contact: The·position will commence in August 1984. Applications Kansas State Univer ment Head, Department of Mathematics, should include a curriculum vitae and names and addresses of KSU is an sity, Manhattan, KS 66506; (913) 532-6750. at least three references. Applications will be accepted until AA/EOE. the position is filled, but to insure consideration, applications should be submitted by December 1, 1983. Applications and Tenure-track position at the Assistant Professor level for the nominations should be submitted to: Chairperson Search academic year 1984-1985. Salary commensurate with ability. Committee, Department of Mathematics, Louisiana State Candidates must have demonstrated research ability in num University, Baton Rouge, LA 70803. ber theory. Some areas of particular interest are the applica LSU is an Affirmative Action/Equal Opportunity Employer. tion of dynamical systems to number theory and sequences of integers. A broad background in algebraic number theory is also desirable. Commitment to excellence in teaching is expected. A Ph.D. in mathematics or equivalent required. UNIVERSITY OF FLORIDA Starting date: August 13, 1984; Closing date: january 31, ANNOUNCEMENT OF VACANCY 1984. Contact: Department Head, Department of Mathe DEPARTMENT OF MATHEMATICS matics, Kansas State University, Manhattan, KS 66506; Applications are invited for a full professorship/senior (913} 532-6750. KSU is an AA/EOE. associate professorship available August 1984. This position requires a record of substantial research accomplishment and MATHEMATICS/COMPUTER SCIENCE teaching experience. Outstanding candidates in all areas of ASSISTANT PROFESSOR mathematics will be given serious consideration. Departmen CONNECTICUT COLLEGE is a very selective, coeducational, tal preferred research specialties include: partial differential private, liberal arts institution (1600 students) located on equations, numerical analysis, theoretical computer science, Long Island Sound midway between New York City and combinatorics, and related areas. The academic year salary Boston. We invite applications for this regular position from for this position is highly competitive. Ph.D.'s committed to scholarship and teaching (3 courses Applicants should provide a resume!, a list of publications, per semester). The teaching comprises courses in introductory selected papers, and should arrange for five letters of refer and advanced computer science and mathematics. Our com ence to be sent to: puter resources include a PRIME 55011, a PDP11/44(UNIX), Chairman, Senior Search and Screen Committee and several micros. A starting date of either 1/84 or 9/84 Department of Mathematics is acceptable. Send resume! and 3 letters of recommendation University of Florida to: S. Wertheimer, Chairman, Mathematics Department, Box Gainesville, Florida 32611 1614, Connecticut College, New London, CT 06320. Application deadline is january 10, 1984. The committee An Equal Opportunity Employer urges early application.

822 POSITIONS AVAILABLE EMORY UNIVERSITY DEPARTMENT OF MATHEMATICS AND SOUTHWEST TEXAS STATE UNIVERSITY COMPUTER SCIENCE One or more non-tenure·track instructorships expected Tenure-track assistant or (junior) associate professor in anal· for fall 1984. Master's degree in mathematics or computer ysis, numerical analysis or computer science, beginning science and potential for excellence in teaching required. August 1984. Strong research commitment is required. Contact Dr. john Spellmann, Chairman, Department of EMORY UNIVERSITY, located in suburban Atlanta, is en· Mathematics/Computer Science, Southwest Texas State Univ· larging the faculty of the Department of Mathematics and ersity, San Marcos, TX 78666. Application deadline 2/1/84. Late applications considered if openings exist. SWTSU is an Computer Science in response to the growth of both the graduate and undergraduate programs. The teaching environ· EO/AA employer. ment (small classes, able students, no remedial programs) is unusually good. All applications should include a vita, a One or more assistant or associate professorships ex· publication list, and at least three letters of reference. These pected for fall 1984. Possibility of tenure-track appointment. should be submitted to: Ph.D. (or equivalent) and potential for excellence in research Paul Waltman, Chairman and teaching required. Prefer those in applied math, com· Department of Mathematics and Computer Science puter science, differential equations (o.d.e. or p.d.e), math Emory University education, number theory (analytic or algebraic) and topol· Atlanta, GA 30322 ogy (geometric). Applications also invited in operations re· Applications will be reviewed beginning February 1, 1984. search, quadratic forms and topological dynamics. Contact EMORY UNIVERSITY is an affirmative action/equal oppor· Dr. john Spellmann, Chairman, Southwest Texas State Univ· tunity employer. Applications from members of minority ersity, San Marcos, TX 78666. Application deadline 2/1/84. groups and women are particularly encouraged. Late applications considered if openings exist. SWTSU is an EO/AA employer. EMORY UNIVERSITY STATE UNIVERSITY OF NEW YORK DEPARTMENT OF MATHEMATICS AND AT BINGHAMTON COMPUTER SCIENCE The Department of Mathematical Sciences expects to have Senior position in analysis, professor or associate professor, tenure-track-junior positions open in fall 1984. A senior beginning August 1984. Established research record, proven appointment is also a possibility. Applications are invited ability to work with graduate students and a willingness to from candidates having excellent research records or poten· play a major role in the development of a quality graduate tial. All areas of pure and applied mathematics, including program are required. Preferred areas are differential equa computer science, will be considered. The department has tions, numerical analysis or applied mathematics. All applica· considerable computer science responsibilities, so applicants tions should include a vita, a publication list, and the names with CS experience, at whatever level, are asked to describe of at least three references. Submit to: it. Send vita and letters of recommendation to: Paul Waltman, Chairman David L. Hanson, Chairman Department of Mathematics and Computer Science Department of Mathematical Sciences Emory University State University of New York at Binghamton Atlanta, GA 30322 Binghamton, NY 13901 Applications will be reviewed beginning january 1, 1984. An Equal Opportunity/Affirmative Action Employer EMORY UNIVERSITY is an affirmative action/equal oppor· tunity employer. Applications from members of minority Mathematics groups and women are particularly encouraged. UNIVERSITY OF IOWA Applications are encouraged for anticipated tenure-track, MICHIGAN TECHNOLOGICAL UNIVERSITY -Several tenured positions, and visiting positions at all levels. Appli· tenure-track positions in applicable mathematics (e.g., proba· cation, vita, and three letters of recommendation should be bility, fluid mechanics, ODE, PDE, etc.) statistics, opera sent to Robert H. Oehmke, Department of Mathematics, tions research, numerical analysis, and computer science as University of Iowa, Iowa City, Iowa 52242. Selections will well as visiting positions in all areas are available. Assistant be based on evidence of the applicants' effective teaching or associate professors preferred. Excellent research and and research achievements and potential, instructional needs teaching required. MTU is a strong engineering school with of the Department, and the potential for interaction with good students and consulting possibilities. Some 3-year in· the faculty at the research level. Special attention will be structorships are also open. Houghton has temperatures given to applicants in numerical analysis or partial differen· moderated by Lake Superior with a great deal of snow and tial equations. The selection process will begin on january recreational activities. To apply, write to R. Millman, Mathe· 25, 1984. The University of Iowa is an Affirmative Action matical and Computer Sciences, Michigan Technological and Equal Opportunity Employer and specifically encourages University, Houghton, Michigan 49931. MTU is an equal applications from women and minorities. opportunity educational institution/equal opportunity em· player. NORTHEASTERN UNIVERSITY Department of Mathematics Applications are invited for several tenure-track appoint· University of Central Florida ments (Associate or Assistant Professor, depending on quali· Applications are invited for two tenure-track positions fications). A Ph.D. is required, and priority will be given to at the Assistant or Associate professor level, beginning candidates with strong records of scholarship and excellence August 1984. Ph.D. degree with strong research potential in teaching. Particular needs of the department are in applied or experience and dedication to teaching at undergraduate analysis, applied algebra and statistics. Pending budgetary level required. Preferred research areas include analysis, considerations, non-tenure track Assistant Professorships applied mathematics in the broad sense. Candidates should and/or Postdoctoral lectureships may be available. All posi· send a detailed r6sum6, and arrange to have at least three tions start fall 1984. Please send r6sum6 and three letters of letters of recommendation and a transcript sent to: reference to Hiring Committee Chairman, Department of Lokenath Debnath, Chairman, Department of Mathemat· Mathematics, Northeastern Univ., Boston, MA 02115, by ics, University of Central Florida, Orlando, FL 32816, not Feb. 1, 1984. Northeastern University is an Equal Oppor· later than February 1, 1984. The University is an equal tunity/Affirmative Action Employer. opportunity/affirmative action employer.

823 POSITIONS AVAILABLE MIAMI UNIVERSITY anticipates at least two tenure track assistant professorships in the Mathematics and Statis MELLON FELLOWSHIP PROGRAM 1984 tics Department beginning August 1984. Candidates should The Program in Science, Technology, and Society at have a Ph.D. in mathematics, statistics or operations re MIT invites applications from scientists, engineers, and search and a genuine interest in teaching and scholarship. physicians for several one-year study fellowships on the Duties include teaching an average of 8 to 9 classroom relationships of science, technology, or medicine with hours per week, continuing research, and departmental society. Ph.D. or equivalent in science or engineering is service. For one position, preference will be given to appli desirable. Partial or full stipend available. Deadline: Feb cants in operations research. The second position will be ruary 1, 1984. For more information, write: Leon Trilling, unrestricted. Candidates should send vitas, graduate tran Chairman, Mellon Fellowship Committee, E51-128, MIT, scripts and three letters of recommendation to Professor Cambridge, MA 02139. MIT is an equal opportunity/ Fred Gass, Mathematics and Statistics Department, Miami affirmative action employer. University, Oxford, Ohio 45056 by February 1. (Late appli cations may be considered.) AA/EOE UNIVERSITY OF CALIFORNIA, SANTA BARBARA DEPARTMENT OF MATHEMATICS IHPST, University of Toronto The Institute for the History and Philosophy of Science The University of California at Santa Barbara Mathe and Technology of the University of Toronto invites appli matics Department anticipates making several temporary, cations for a tenu~e-track assistant professorship in the part- or full-time, teaching appointments during the 1984- history of mathematics, for which the salary, depending on 1985 academic year. We anticipate both part-time visiting qualifications, is $25,400 to $43,000; the position begins faculty positions and full-time visiting lectureships at a on July 1, 1984. The rank of beginning associate professor, junior level (with possibility of renewal up to a maximum with salary starting at $31,200, is also a possibility. Candi of 2 years). Applicants should be active research mathema dates must have a Ph.D. or its equivalent and a strong record ticians or statisticians with certifiably good teaching skills. of scholarly publications. The Institute seeks as its first We encourage applicants in all research areas. Please send choice someone whose work concentrates on aspects of vita, publications list, letters of recommendation on teach eighteenth or nineteenth century mathematics which are ing and research, and financial requirements by February closely related to the history of physics. We will also con 15, 1984 to: sider applicants concentrating in the scientific revolution or Professor James B. Robertson, Chair in ancient mathematics. We require a person able to provide Mathematics Department leadership to a program of graduate teaching. Applications, University of California including curriculum vitae and names of at least two refer Santa Barbara, CA 93106 ences, should be sent by January 15, 1984, to Professor An Affirmative Action/Equal Opportunity Employer. J, Z. Buchwald, IHPST, Victoria College, 73 Queen's Park Crescent East, Toronto, Ontario M5S 1 K7. In accordance DEPARTMENT OF with Canadian immigration requirements, this advertisement MATHEMATICAL SCIENCES is directed to Canadian citizens and permanent residents. WORCESTER POLYTECHNIC INSTITUTE Tenure-track assistant professorships requiring a strong commitment to scholarship, excellent classroom teaching The Citadel and project advising. Preference will be given to applicants Applications are invited for tenure-track position(s) at whose research interests parallel current work in the depart the Assistant or Associate leveL Teaching responsibilities at ment, which includes discrete modeling, computer mathe all undergraduate levels of Computer Science and Mathe matics, applied analysis, differential equations, mathematical matics. physics, operations research, statistics, and applied proba Qualifications include master's degree in Computer Sci bility. ence or Ph.D. in Mathematical Science with a strong back Worcester Polytechnic Institute is an Equal Employ ground in Computing, capacity for research, and a dedica ment Opportunity/ Affirmative Action Employer. tion to undergraduate teaching. Salary negotiable. Liberal Send applications to Bruce C. McQuarrie, Mathematical benefits include possible resources for assistants to pursue Sciences Department, Worcester Polytechnic Institute, advanced Computer Science degrees. The Citadel is a state Worcester, Massachusetts 01609. supported, liberal arts, military college offering undergradu ate degrees in the arts, sciences, engineering, education, and DEPARTMENT OF MATHEMATICS business administration. LEHIGH UNIVERSITY Please send resume which includes the names of three references to: Applications are invited for three tenure-track positions Charles E. Cleaver, Head, Department of Mathematics of assistant professor, beginning in August 1984. One of the and Computer Science, The Citadel, Charleston, SC 29409. appointments may be made at the rank of associate professor Applications should be received by February 1, 1984 to for an individual with outstanding credentials. Candidates ensure consideration. The Citadel is an AA/EOE. must possess a Ph.D. in mathematics, statistics or operations research. Preferred areas of specialization are classical analy sis, geometry, mathematical statistics, numerical methods, EMPORIA STATE UNIVERSITY invites applications for an operations research, partial differential equations, and prob Assistant or Associate tenure-track appointment. Ph.D. in ability. A strong commitment to excellence in teaching and Computer Science preferred. Ph.D. in Mathematics, Statistics, research is essentiaL Salary and benefits are highly competitive. or related areas with strong background in Computer Science Anticipated teaching load is approximately six hours per will be considered. Excellence in teaching and commitment week every semester. to scholarly activities is expected. Send r~sume and three Send r~sume, transcripts, and three letters of recommen letters of reference to Dr. John Carlson, Search Committee dation to Professor Gregory McAllister, Chairman of Search Chair, Division of Mathematical and Physical Sciences, Em Committee, Department of Mathematics, Lehigh University, poria State University, Emporia, Kansas 66801. Deadline for Bethlehem, PA 18015. Applications will be accepted until applications: February 15, 1984 or until position filled. February 1, 1984, or until the positions are filled. Appointment date: August 15, 1984. Equal Opportunity Lehigh University is an EO/AA employer. Employer.

824 POSITIONS AVAILABLE TEXAS A&M UNIVERSITY DEPARTMENT OF MATHEMATICS The Department of Mathematics and Statistics at Mississippi Applications are invited for several tenure-track openings. State University anticipates two or more tenure-track posi· All areas and ranks are considered. The Department has tions at the Assistant Professor level for the 1984-1985 aca· active research groups in Algebra, Approximation Theory, demic year. A Ph.D. is preferred. Responsibilities include Functional Analysis, Geometry and Non-Linear Analysis, teaching and research. Candidates should submit a vita and Number Theory and Partial Differential Equations and Com· three letters of recommendation by February 1, 1984, to binatorics, Applied Mathematics, Probability, and Topology. J. L. Solomon, Head, Department of Mathematics and Statistics, Mississippi State, MS 39762. Mississippi State Univ· Interested individuals should send a vita and arrange for letters (if appropriate) to be sent to: ersity is an equal opportunity/affirmative action employer. Dr. H. E. Lacey, Head Department of Mathematics NORTHWESTERN UNIVERSITY Texas A&M University The Mathematics Department invites applications for one or College Station, Texas 77843 more possible positions at the Full, Associate, or Assistant Equal Opportunity through Affirmative Action Professor level. Outstanding candidates with excellent re· search credentials and a demonstrated commitment to teach· TEXAS A&M UNIVERSITY ing are sought in all fields of mathematics. Please send appli· DEPARTMENT OF MATHEMATICS cations including vita and names of at least three references to: Texas A&M University and the Department of Mathe· Professor Eric M. Friedlander matics invites applicants for the OWEN CHAIR in Mathe· Department of Mathematics matics. This is an endowed chair established by the gift of Northwestern University George Arthur and Mary Emolene Owen. The successful Evanston, I L 60201 candidate must have a distinguished research record and Northwestern University is an Equal Opportunity/Affirmative considerable stature in the international mathematical com· Action employer. munity. The position is open to all areas of Mathematics. The Department has active research groups in Algebra, Approximati_on Theory, Functional Analysis, Ge?metry and NORTHWESTERN UNIVERSITY Non-Linear Analysis, Number Theory and Combmatoncs, Two 2-year positions at the assistant professor level and/or Partial Differential Equations and Applied Mathematics, shorter term positions for higher level visitors are anticipated. Probability, and Topology. Preference will be given to mathematicians who will profit Interested individuals should contact: from and contribute to our emphasis year in Group Coho· Dr. H. E. Lacey, Head mology and its applications to Algebraic Topology and Alge· Department of Mathematics braic K-theory. Send applications including vita and three Texas A&M University letters of reference to: College Station, Texas 77843 Professor Eric M. Friedlander Equal Opportunity through Affirmative Action Department of Mathematics Northwestern University DEPARTMENT OF MATHEMATICS Evanston, IL 60201 UNIVERSITY OF ALABAMA IN BIRMINGHAM Northwestern University is an Equal Opportunity/Affirmative Action employer. A tenure-track position for fall 1984. Candidates must have an established record of quality research and be able to en· hance the current research efforts of the department. Depart· PURDUE UNIVERSITY CALUMET ment members are currently active in algebra, applied math· Hammond, Indiana ematics, ordinary and partial differential equations and point DEAN set topology. Appointments will be made at the rank of School of Science and Nursing assistant professor, associate professor or professor, de· pending on qualifications and experience. Salary negotiable. Applications and nominations are invited for the position Applicants should send letter of application, vita and three of dean in this school which includes departments of Biology, letters of reference to Professor Louis Dale, Mathematics Chemistry and Physics, Mathematical Sciences, and Nursing. Department, University of Alabama in Birmingham, Birming· The School of Science and Nursing is one of three degree ham, AL 35294. UAB is an Affirmative Action/Equal granting schools of Purdue Calumet, a commuter campus of Opportunity Employer. approximately 7800 students, located in the northwest Indiana-Chicago metropolitan area. Undergraduate and mas· Pending final budgetary approval, Associate or Full Professor ter's level programs offered. tenured position beginning fall 1984. Must have distinguished Candidates must have an earned doctorate in an appro· research record. Inquiries to Leo Breiman, Chair, Personnel, priate discipline from a recognized institution, effective col· Department of Statistics, University of California, Berkeley, lege or university teaching experience, a record of research CA 94720, by January 15, 1984. The University of California or creative activity, administrative experience, and must is an Equal Opportunity, Affirmative Action Employer. qualify for full professor. This position will be available July 1, 1984. Salary is competitive. Deadline for applications is Pending final budgetary approval, tenure-track Assistant January 9, 1984. Nominations or applications, including Professor position beginning fall 1984. Must have strong re· vita and names of three references, should be sent to: search potential, preferably in statistics. R~sumes to Leo Professor Samuel D. Paravonian, Chairman Breiman, Chair, Personnel, Department of Statistics, Univer· Dean Selection Advisory Committee sity of California, Berkeley, CA 94720, by January 15, 1984. Purdue University Calumet Names of three references also required. The University of Hammond, Indiana 46323 California is an Equal Opportunity, Affirmative Action An Equal Access/Equal Opportunity University Employer.

825 POSITIONS AVAILABLE GEORGETOWN UNIVERSITY Department of Mathematics UNIVERSITY OF UTAH Applications are invited for a tenure-track position at the DEPARTMENT OF MATHEMATICS assistant professor level. Ph.D. is required with research cre invites applications for the following positions dentials in one of the following areas: harmonic analysis, par tial differential equations, differential equations in function Per 1. Three or four non-renewable 3-year Instructorships. spaces. Strong interest in undergraduate teaching with some or 1984 are sons of any age receiving Ph.D. degrees in 1983 experience is preferred. Send a detailed vita and reprints or of ability eligible. Applicants will be selected on the basis preprints, if available, and arrange to have three letters of and potential in teaching and research. Starting salary this reference sent to: year is $21,500 and cost of living increases are contingent Chairman on action by the State Legislature. Duties consist of teach· Department of Mathematics ing two courses through the academic year. Georgetown University 2. One visiting position of one year or less. Selection criteria Washington, D.C. 20057 are teaching ability and potential contribution to our research Georgetown University is an Equal Employment Oppor environment. tunity/Affirmative Action Institution in employment and 3. Permanent senior level positions may become available. admissions. Selection will be based on availability of funds, research ex pertise and teaching ability. CLEVELAND STATE UNIVERSITY, Mathematics depart 15, Applications must include curriculum vita, bibliography ment, offers tenure-track position available September and three references. (Instructorship applications must also 1984; rank open. Tliis position requires Ph.D. in mathematics, a commit include an abstract of thesis and a list of graduate courses established record or strong potential for research, completed or transcripts.) Applications will not be accepted ment to excellence in teaching, and broad undergraduate after our deadline date of March 31, 1984. teaching interests. The ideal candidate will have, in addition Please send your application to: to above, research interest or experience in partial differen COMMITTEE ON STAFFING tial equations, numerical analysis, statistics, operations re DEPARTMENT OF MATHEMATICS search. Duties include teaching graduate and undergraduate UNIVERSITY OF UTAH mathematics courses (normal load, two courses per quarter) SALT LAKE CITY, UTAH 84112 and mathematics research. Competitive salary with excellent fringe benefits. Send vita and at least three letters of recom The University of Utah is an equal opportunity- affirmative mendation by january 6, 1984 toT. W. Hungerford, Chair action employer person, Department of Mathematics, Cleveland State Univer sity, 1983 E. 24th Street, Cleveland, OH 44115. APPLIED MATHEMATICS University of Wyoming Equal Opportunity Employer M/F /H One or more tenure-track positions arc anticipated in applied mathematics. Emphasis on energy-related research, UNIVERSITY OF SOUTH ALABAMA interaction with the scientific and engineering communities, Department of Mathematics and Statistics and leadership within the Mathematics Department. Excellent Applications are being accepted for at least two tenure research opportunities. track positions at the rank of Assistant Professor. A success· Inquiries or applications should be sent to Professor ful applicant must possess a Ph.D. in Mathematics. Preferred Richard E. Ewing, Personnel Committee, Department of specialties include differential equations, dynamical systems, Mathematics, The University of Wyoming, Laramie, Wyoming ergodic theory, functional analysis, geometric topology, in 82071. formation theory, number theory, and numerical analysis. The University of Wyoming is an Equal Opportunity/ The duties of these positions include teaching undergcaduate Affirmative Action Employer. and graduate mathematics courses, carrying out research or other creative activity, and contributing to a scholarly WESLEYAN UNIVERSITY atmosphere. The appointment will begin September 1984. DEPARTMENT OF MATHEMATICS Applicants should send a detailed resume, transcripts, and Applications are invited for a tenure-track position in three letters of recommendation to Dr. S. Gene Crossley, traditional mathematics, at the Assistant Professor level, Chairman, Department of Mathematics and Statistics, Uni with a preference for someone working in analysis or proba versity of South Alabama, Mobile, AL 36688. The closing bility. However, applications from any area are welcome. date is February 1, 1984. USA is an equal opportunity/ The position begins in 1984-1985, with the initial appoint· affirmative action employer. ment normally for four years. Wesleyan is a university of 2,500 students. The depart COMPUTER SCIENCE/MATHEMATICS ment has 14 members and conducts a small graduate program GETTYSBURG COLLEGE invites applications for a (roughly 12 students with two Ph.D.'s awarded each year). tenure-track position in computer science and mathematics To apply, please arrange that a vita and three letters of at the assistant professor level, to begin September 1984. A reference be sent by january 15, 1984 (earlier if possible) doctorate in mathematics or computer science is required. to: Search Committee, Department of Mathematics, Wesleyan Computer science background at least at the masters level University, Middletown, Connecticut 06457. is preferred. Duties include teaching computer science and Wesleyan University is an Equal Opportunity /Affirmative some mathematics. Salary is commensurate with qualifications. Action employer. Gettysburg College is a four-year coeducational, selective liberal arts college related to the Lutheran Church in America. ARIZONA STATE UNIVERSITY It has approximately 1850 students, with a student-faculty Department of Mathematics ratio of 13:1, and is located near Baltimore and Washington, Applications are invited for positions at ranks of Assistant D.C. Computing facilities include a Burroughs 5920 and a and Associate Professor. There is a possibility of appoint Microcomputer Laboratory with 28 Apple II computers. ments at Professor rank. Visiting positions are also expected. Send resume and three letters of reference to David Send vita and direct 3 letters of recommendation to j. Flesner, Acting Chairman, Department of Computer Studies, Bustoz, Chair, Department of Mathematics, Arizona State Gettysburg College, Gettysburg, PA 17325. To insure con University, Tempe, AZ 85287. A. S. U. is an equal oppor sideration, submit application by February 1, 1984. An Equal tunity employer. Equal Opportunity/Affirmative Action Employer.

826 POSITIONS AVAILABLE APPLIED MATHEMATICS TRINITY UNIVERSITY CLEMSON UNIVERSITY Trinity University invites applications and nominations DEPARTMENT OF MATHEMATICAL SCIENCES for a tenure-track position in applied mathematics at the The Clemson University Department of Mathematical rank of Assistant Professor, appointment beginning August, Sciences has at least three approved faculty positions begin 1984. Responsibilities include teaching nine credit hours per ning Fall Semester 1984. semester, continuing scholarly activity, developing and ex SENIOR POSITION (Full Professor) panding applied mathematics offerings as appropriate to the The Department seeks a senior mathematical scientist needs of the department and the university, interacting in a with specialization in one of three areas: APPLIED ANAL creative way with other departments and programs, advising YSIS/COMPUTATIONAL MATHEMATICS, DISCRETE and the usual committee service. MATHEMATICS/OPERATIONS RESEARCH, OR STA· Minimum qualifications are the Ph.D. in mathematics, TISTICS. l_nterest in the computational aspects of the area applied mathematics or operations research, training and/or is desirable as are research interests in the applications of the experience in discrete mathematics, excellence in and strong mathematical sciences to the solutions of real world prob commitment to teaching. Salary is $23,000 to $24,000. lems. The salary is competitive and commensurate with ex Trinity University is one of the thirty most heavily perience. financed private institutions in America. Founded in 1869, ASSISTANT PROFESSORSHIPS it occupies a modern campus overlooking the San Antonio Each of at least two assistant professorships will be filled skyline. Purposely small and selective, with about 3000 stu by a mathematical scientist possessing the Ph.D. degree with dents,-Trinity stresses a high quality, largely undergraduate emphasis in one of the three areas: APPLIED ANALYSIS/ liberal arts program. COMPUTATIONAL MATHEMATICS, DISCRETE MATHE· Send vita, transcripts and three letters of reference to MATICS/OPERATIONS RESEARCH, OR STATISTICS. The Donald F. Bailey, Department of Mathematics, Trinity Univ completion of all requirements for the Ph.D. degree prior to ersity, San Antonio, Texas 78284. Closing date for applica August 15, 1984, may be substituted for the awarded Ph.D. tions is February 25, 1984. degree. Strength in the computational aspects of the area is Trinity University is an equal opportunity, affirmative highly desirable as are research interests in the applications action employer. of the mathematical sciences to the solutions of real world problems. All approved positions will be nine-month, tenure CASE WESTERN RESERVE UNIVERSITY track positions and salaries will be competitive. Expected tenure-track and visiting positions in mathemat The Department of M"athematical Sciences at Clemson ics and statistics to begin August 15, 1984. Outstanding re University embraces algebrafcombinatorics, analysis, compu search record and/or proven research potential and teaching tational mathematics, operations research and statistics and excellence required. Rank and area open. Contact Professor integrates these mathematical sciences into its B.A., B.S., W. A. Woyczynski, Chairman, Department of Mathematics M.S., and Ph.D. programs. Applications will be accepted and Statistics, Case Western Reserve University, Cleveland, until all approved positions are filled. Vitae (with names and Ohio 44106. telephone numbers of three references), nominations, and An Equal Opportunity Employer. requests for further information should be sent to: Dr. john D. Fulton, Head, Department of Mathematical Sciences, BURROUGHS CORPORATION, ADVANCED TECHNOL Clemson University, Clemson, SC 29631. OGY DIVISION-AUSTIN RESEARCH CENTER has are CLEMSON UNIVERSITY IS AN AFFIRMATIVE search position available in mathematics/logic/computer ACTION/EQUAL OPPORTUNITY EMPLOYER. science. Candidates must have solid theorem-proving ability and should have some training in mathematical logic. Famil UNIVERSITY OF NORTH FLORIDA iarity with lambda-calculus, Scott-Strachey semantics, and higher-order logic is desirable. Computer science background Applications are invited for a visiting position in statistics in LISP, applicative languages, mechanical theorem proving, for the spring semester (January--May), 1984. Rank is up to program verification, or A. I. is desirable. Applicant must be Associate Professor, depending upon qualifications. A Ph.D. willing to work on specific problems in logic and semantics in statistics is strongly preferred. Duties include teaching major and service courses, with some consulting available. related to applicative (functional) programming languages. Send r~sum~ to Dr. Carl Pixley, Burroughs Corporation, A second visiting position at the Assistant Professor (Ph.D.) level for the same period in either mathematics or statistics ATD-Austin Research Center, 12201 Technology Blvd., is anticipated. Apply by December 1, 1983 to William Austin, Texas 78727. Burroughs Corporation is an Equal Caldwell, Chairperson, Department of Mathematical Sciences, Opportunity/Affirmative Action employer. University of North Florida, jacksonville, FL 32216. UNIVERSITY OF WISCONSIN-MADISON, MATHEMAT ... An AA/EEO Employer ... ICS DEPARTMENT, VAN VLECK HALL, 480 Lincoln ASSISTANT PROFESSOR, Mathematics, full-time, january Drive, Madison, WI 53706. The Department of Mathematics 1, 1984 to june 30, 1984, non-tenurable. Duties: Teach solicits applications from Logicians of established excellence undergraduate courses in algebra, precalculus mathematics for a possible Assistant Professor appointment commencing and applied mathematics. Minimum Qualifications: Ph.D. in in the Fall of 1984. Applications should be sent no later mathematics or computer science. Salary: $16,872-$22,800 than December 1, 1983 to Professor J. Marshall Osborn, Ch., depending on qualifications and experience. Send letter of Department of Mathematics (address above). The University application, vita and three letters of reference to Robert G. of Wisconsin is an Equal Opportunity Employer. Griswold, Chair, Mathematics Discipline, College of Arts and Sciences, University of Hawaii at Hilo, 1400 Kapiolani University of Wisconsin-Milwaukee, Street, Hilo, HI 96720; phone 808-961-9387. Deadline for Mathematics Department, Milwaukee, Wisconsin, 53201. receipt of applications: November 30, 1983. AA-EEO The Department of Mathematics solicits applications from Employer. algebraists for a possible senior and/or junior position com mencing in the fall of 1984. Applications should be sent to Professor A. K. Boyle, Department of Mathematics (address above). The University of Wisconsin is an AA/EOE.

827 POSITIONS AVAILABLE Applications are invited for four full-time, tenure-track positions, fall 1984. Ass't. Prof.-Prof. ($22,000-$38,000/yr. Eastern Iowa Community College District depending on qualifications). 12 units/semester, committee 2804 Eastern Avenue work, mathematical activity. Applicant must have Ph.D. in Davenport, Iowa 52803 Math. or Stat. or Math Education. Teaching excellence a primary consideration. Qualified candidates should submit Full-time instructor needed for 20 instructional hours/week nlsum~, supporting documents and 3 letters of reference to for a growing department to teach freshman/sophomore jim jones, Chair, Department of Mathematics, California mathematics and computer science (BASIC, FORTRAN or State University, Chico, CA 95929 by February 1, 1984. COBOL) or to teach freshman/sophomore mathematics and Affirmative Action Employer. engineering related courses. Qualifications: Master's Degree or be able to meet Iowa Department of Public Instruction certification requirements. Salary: commensurate with edu BRYN MAWR COLLEGE cation and experience. Starting date: january 9, 1984. Ap Applications are invited for a tenure-track position in Mathe plication deadline: November 15, 1983. Equal Opportunity matics at the Assistant Professor level, beginning September Institution. 1984. Candidates must have a Ph.D. in Mathematics and have demonstrated strong rese~rch potential and excellence in teaching. Applications, rcsum~s and three letters of recom MATHEMATICS DEPARTMENT mendation should be sent to M. Martelli, Acting Chairman, UNITED STATES NAVAL ACADEMY Department ot Mathematics, Bryn Mawr College, Bryn ANNAPOLIS, MARYLAND 21402 Mawr, PA 19010 by january 15, 1984. Bryn Mawr College Applications arc invited for a three-year tenure-track appoint is an Equal Opportunity/Affirmative Action Employer. ment as Assistant Professor commencing january 1984 or August 1984. Ten-month salary $21,000-$28,000, commen FOR SALE surate with experience and qualifications. Research oppor tunities exist for augmenting salary during summer. Special MATH SCI PRESS, 53 jordan Rd., Brookline, MA 02146; ization in applied mathematics desired but not essential. 617-738·0307. just published: Geometry of Riemannian Applicants must possess Ph.D., have a commitment to excel Spaces, by Elie Cartan. Translation by james Glazebr~ok of lence in teaching, and be capable of pursuing independent 1946 edition, notes by R. Hermann. $50. 20% reduction research. Send inquiries and applications to Professor F. I. on two or more volumes of entire list (see ad in Oct. '82 Davis, Chairman. Required of each applicant are a r~sumc, Notices) of 35 volumes. transcripts, and three letters of recommendation discussing applicant's teaching and research. The Naval Academy is an EO/AA employer.

Convergence of Solutions 4. Asymptotic behavior of the Kolmogorov equation of the Kolmogorov Equation under full heating 5. Convergence of the Kolmogorov equation in the to Travelling Waves case A> 2y, Maury Bramson 6. Hitting probabilities for Brownian bridge 7. Estimates for the Kolmogorov equation in the The classic Kolmogorov equation u1 = Y:!uxx + f{u) is investigated under general initial data. A nec case A= 2y, essary and sufficient condition on the initial data is 8. Convergence of the Kolmogorov equation in the case A = 2y, for finite initial mass given for convergence to a travelling wave as t-> =. In the case of convergence, a formu Ia is given for 9. Convergence of the Kolmogorov equation in the computing the position of the wave. The methodol case A = 2y, for infinite initial mass ogy involves use of the F eynman-Kac integral and 1980 Mathematics Subject Classifications: 60 J60, 35 K55 sample path estimates for Brownian motion. Memoirs of the AMS Contents Number 285, iv + 196 pages (soft cover) 1. Introduction List price $16, institutional member $12, 2. Some properties of Brownian motion and individual member $8 ISBN 0-8218·2285-3; LC 83·6437 Brownian bridge Publication date: july 1983 3. Basic properties of the Kolmogorov equation To order, please specify MEM0/285N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

828 REVIEWS IN RING THEORY Compiled and Edited by Lance W. Small Department of Mathematics, University of California, San Diego

These volumes collect 5,396 reviews from Mathematical Reviews of papers in noncommutative ring theory. All reviews of papers in ring theory from Volume 21 (1960) through Volume 58 (1979) appear here. Additionally, the editor has collected those papers from Volume 1 through Volume 20 which are necessary background. Papers on group rings, homological questions, and enveloping algebras with ring theoretic interest are also included. Each review has an "appearance number" specifying the location of the review by chapter, section and number within the section. By and large, reviews within one section are arranged in "rough" chronolog ical order (i.e., by appearance in Mathematical Reviews). The principal exceptions are papers in a series and very closely related papers. If a cited review occurs in these volumes, then its appearance number is listed after the review in which it is cited. Cross-references are given at the beginning of some sections and chapters to inform the reader of closely related reviews appearing elsewhere. These cross-references may also be useful to the reader as a guide to finding reviews which do not appear where the reader thinks they should. These volumes are a research tool. There are no other books containing the information herein except Mathematical Reviews itself. The editor's previous work includes over 40 papers in ring theory. He has been a reviewer for Mathe matical Reviews since 1968. The work is divided into 31 chapters each subdivided into 3 to 21 sections. Chapter headings are:

1. Primitive, prime and semi-prime rings 16. Injective modules, self-injective rings and generalizations 2. Theory of radicals 17. Von Neumann regular rings and their generalizations 3. Nil, nilpotent and radical rings 18. Arlin rings 4. Simple and semi·simple Arlin rings 19. Quasi·Frobenius (QF) rings and their generalizations 5. Division rings 20. Perfect, semi-perfect rings and modules and their general- 6. Matrices over commutative rings and fields and linear izations algebra (ring theoretic) 21. Integral domains 7. Classical orders, integral representation theory, arith· 22. Goldie's theorem, rings of quotients matic in algebras 23. Noetherian rings 8. Separable algebras, Azumaya algebras and their generaliz 24. Group rings zations 25. Homological and categorical methods in ring theory 9. Galois theory 26. Torsion theories 10. Hopf algebras-algebraic theory 27. Automorphisms, endomorphisms and derivations on rings 11. Rings satisfying a polynomial identity 28. Commutativity theorems. Generalizations of commutative 12. Rings with involution rings 13. Lie and jordan structures on rings 29. Topological rings and modules. Ordered rings 14. Module theory (general) 30. Other rings and algebras. Miscellaneous topics and results 15. Projective modules, flat modules and their generalizations 31. Books, conference proceedings and surveys

Published in 2 volumes, xii + 1,114 pages (soft cover). List price $176, institutional member $132, individual member $44, student $22. ISBN 0-8218-0215-1; LC 81-10770. Publication date: August 1981. To order, please specify REVRING.N Prepayment is required. American Mathematical Society, P. 0. Box 1571, Annex Station, Providence, Rhode Island 02901 Or call toll free 800-556-7774 to charge with Visa or MasterCard.

829 RECENT AMERICAN MATHEMATICAl SOCIETY PUBLICATIONS

CONTEMPORARY MATHEMATICS VI. Ramification of abelian extensions (ISSN 0271-4132) VII. The Weil groups of a local field VIII. Shafarevitch's theorem IX. The Herbrand distribution Advanced Analytic Number Theory 1980 Mathematics Subject Classifications: 10015, 12A65, Part 1: Ramification Theoretic Methods 12B10, 12B25,12B27, 14G10, 10H99 Carlos J. Moreno Contemporary Mathematics Volume 15, viii + 192 pages (soft cover) ABSTRACT List Jlrice $18, institutional member $14, the ram individual member $9 The book presents in a coherent way all ISBN 0-8218-5015-6; LC 82-22620 ification results from local fields which are necessary Publication date: January 1983 for an understanding of the new developments in To order, please specify CONM/15N advanced analytic number theory. Chapter Ill gives an elementary introduction to Complex Representations of G L(2, K) /-adic Haar measures, a topic which has gained much for Finite Fields K importance in recent years due to the work of Mazur llya Piatetski-Shapiro and others. Chapters I, II, IV, V and VI are basic and could This book is composed from lecture notes of a very well serve as an introduction to local class field course given at Tel-Aviv University by Professor theory. Piatetski-Shapiro, who holds the Cissie and Aaron Chapter VII gives a detailed discussion of the rela Beare Chair in Algebra and Number Theory at that tive Weil group; it includes a proof of Grothendieck's institution. They were prepared for publication by local monodromy theorem which is the essential in Moshe jarden. gredient in the construction of the Weii-Deligne Contents group. The chapter ends with the precise statement 1. Preliminaries: Representation theory; the general of the conjectural non-abelian local reciprocity law. linear group. (1) Linear representations of finite After some preparations in chapter VIII, chapter groups, (2) Induced representations, (3) The Schur IX presents a detailed study of the Herbrand distri algebra, (4) The group GL(2, K), (5) The conju bution which serves as a suitable substitute for the gacy classes of GL(2, K). Artin and Swan representations when dealing with 2. The representations of GL(2, K). {6) The repre conductor questions. The point of view is that of sentations of P, (7) The representations of B, (8) harmonic analysis and /-adic valued distributions. The Inducing characters from B to G, (9) The Schur main goal of the chapter has been to prepare the algebra of lnd~ll. (10) The dimension of cuspidal way for the development of the so-called "general representations, (11) The description of GL (2, K) ized explicit formulas of number theory" associated by generators and relations, (12) Non-decomposable to the L-functions of automorphic representations characters of L x, (13) Assigning cuspidal represen and algebraic varieties over number fields. tations to non-decomposable characters, (14) The An introductory chapter outlines some of the correspondence between v and Pv• {15) The ·small most significant discoveries in algebraic number the Weil group and the small reciprocity law. ory dealing with the phenomenon of ramification, 3. r-functions and Bessel functions. (16) Whittaker notably the introduction by Hilbert of the higher models, (17) The r-function of a representation, ramification groups and the generalization to infinite (18) Determination of p by r , (19) The Bessel extensions by Herbrand. The same chapter also gives function of a representation, (20) A computation an introduction to the powerful technique of the of rp(w) for a non-cuspidal p, (21) A computa "explicit formulas" which leads to some far reaching tion of rP (w) for a cusp ida I p, (22) The characters generalizations of the known prime number theorems. of G. Contents 1980 Mathematics Subject Classification: 20G05 0. Introduction Contemporary Mathematics I. Galois theory for infinite extensions Volume 16, viii + 72 pages (soft cover) II. Projective limits List price $13 , institutional member $10, individual member $7 Ill. Elementary theory of /-adic integration ISBN 0-8218·5019-9; LC 82-24484 IV. Ramification theory Publication date: January 1983 V. Multiplicative versus additive reduction To order, please specify CONM/16N

Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1 571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard. .-JOHNS HOPKINS

MATRIX COMPUTATIONS GeneH Golub and Charles F. Van Loan Matrix Computations is a landmark book in the literature on the computer sciences: informative, up-to-date, and above all, practical. At home in the classroom and the research library, it provides the vital mathematical back ground and algorithmic skills required in the production of numerical software. While discussing such general principles as the exploitation of struc ture, reliance on orthogonal transformations, and the assessment of prob lem sensitivity, the authors touch on numerous specifics, including Toeplitz systems, Vandermonde systems, constrained least squares, generalized eigenvalue problems, and matrix function problems. johns Hopkins Series in the Mathematical Sciences, no. 3 $49.50 hardcover, $24.95 paperback

GEOMETRY AND NUMBER THEORY A VOLUME IN HONOR OF ANDRE WElL edited by jean-Plen-e Serre and Goro Sbimura Articles by twenty-six leading mathematicians, all reflecting the influence of one of the seminal figures in modern mathematics, Andre Weil. Originally published as volume 105, numbers 1 and 2, of the American journal of Mathematics. Included are articles by Iipman Bers, Pierrette Cassou-Nougues, Shiing-shen Chern, Jon Gordon Wolfson, V. G. Drinfeld, Bernard Dwork, Jun-Ichi Igusa, Kenkichi Iwasawa, Nicholas M. Katz, J. Kollar, T. Matsusaka, Goro Shimura, J. Tate, Enrico Bombieri, A Borel, H. Garland, C. Goldstein, J. Coates, H. Jacquet, I. I. Pyatetskil-Shapiro, J. A Shalika, R. P. I.anglands, B. Mazur, A Wiles, Kenneth A Ribet, and]. Tits. American journal of Mathematics Supplement, no. 4 $48.00

1HE JOHNS HOPKINS UNIVERSI1Y PRESS ' Baltimore, Maryland 21218 831 UNIVERSITY OF CALIFORNIA The McConnell Bernard Professorship BERKELEY in Mathematics Department of Mathematics UNIVERSITY OF VIRGINIA Berkeley CA 94720 The Department of Mathematics wishes A. Weinstein, Vice Chair for Faculty Appts. to fill the McConnell-Bernard Professorship Several positions are anticipated for new in Mathematics. Applications for this senior and recent Ph.D.s of any age in the fields of position are invited from distinguished algebra, analysis, applied mathematics, research mathematicians. Nominations for foundations, or geometry. The term of candidates are also welcome. All areas of these appointments may range from one to pure and applied mathematics will be con three years, depending partly upon the sidered. qualifications of individual applicants and Submit vita and names of references to: partly upon pending administrative deci sions. Applicants for NSF or other postdoc Chairman toral fellowships are encouraged to apply Department of Mathematics for these positions; combined Mathematics-Astronomy Building teaching/research appointments may be University of Virginia made for up to 3 years. Send by January Charlottesville, Virginia 22903 31, 1984, resume, reprints, preprints, and/ or thesis abstract. Ask three people to The University of Virginia is an Equal send letters of recommendation to the Opportunity /Affirmative Action Employer. above person. The University of California is an Equal Opportunity AJ/irmative Action Employer.

-<••..C••-·•>••,.••>-••,.••)o••)o••)o

UNIVERSITY OF CALIFORNIA UNIVERSITY OF CALIFORNIA BERKELEY BERKELEY

Department of Mathematics Department of Mathematics Berkeley, CA 94720 Berkeley, CA 94720

A. Weinstein, Vice Chair for Faculty Appts. A. Weinstein, Vice Chair for Faculty Appts.

One tenure-track faculty position antici One tenure faculty position anticipated pated, pending budgetary approval, effective pending budgetary approval, effective Fall Fall 1984, at the assistant professor level, in 1984, with the rank to be determined by the areas of algebra, analysis, applied qualifications, in the areas of algebra, mathematics, foundations or geometry. analysis, applied mathematics, foundations Applicants should have demonstrated or geometry. Applicants should have potential in research and teaching. Send by demonstrated substantial achievement in December 31, 1983, curriculum vitae, list research and teaching. Send by December of publications, a few selected reprints or 31, 1983, curriculum vitae, list of publica preprints, and the names of three referees. tions, a few selected reprints or preprints, The University of California is an and the names of three referees. The Equal Opportunity AJ/irmative Action University of California is an AJ/irmatlve Employer. Action Employer.

832 NEW

ANNALS OF OPERATIONS RESEARCH Editor-in-Chief: Prof. Peter L. Hammer, Rutgers Center for Operations Research, Rutgers University, New Brunswick, N.J. Vols. 1 and 2, 1984, together $235. - including postage, ISSN 0254-5330. The journal will publish refereed volumes of conference proceedings and refereed volumes devoted to special topics on the mathematical aspects of operations research, on computational algorithms and on the applica tions of operations research techniques in industry, in government etc.

THREE LEADING, ENGLISH-LANGUAGE MATHEMATICAL JOURNALS FROM CHINA

ACTA MATHEMATICA SCIENTIA Editor-in-Chief: Prof. Li Guoping, Institute of Mathematical Sciences, Academia Sinica, Wuhan Vol. 4, 1984 $117.50 including postage, ISSN 0252-9602

APPLIED MATHEMATICS AND MECHANICS Editor-in-Chief: Prof. Chien Wei-zang, Oing Hua University, Beijing Vol. 5, 1984, $194. - including postage, ISSN 0253-4827

CHINESE ANNALS OF MATHEMATICS Editor-in-Chief: Prof. Su Buging, Institute of Mathematics, Fudan University, Shanghai Series B. vol. 5, 1984, $117.50 including postage, ISSN 0252-9599.

Free sample copies of the journals are available on request

J. C. BALTZER AG Scientific Publishing Company Wettsteinplatz 10, CG-4059 Basel, Switzerland

833 CONFERENCE ON BOUNDARY VALUE PROBLEMS NUMERICAL OPTIMIZATION FOR ELLIPTIC PSEUDODIFFERENTIAL EQUATIONS June 11-14, 1984 by G. I. Eskin, translated by 5. F. Smith The Broker Inn • Boulder, CO The English edition differs from the Russian in that an Introduction and three new sections ( §§ 25- CALL FOR PAPERS 27) have been added. Moreover, various corrections, improvements and remarks have been made by the author throughout the book, especially in Chapter 6. A special conference on computa CONTENTS tional aspects of nonlinear optimization 1. Generalized functions and the Fourier transform including unconstrained problems; 2. Boundary value problems for an elliptic pseudo problems with linear, nonlinear, equality differential operator in a halfspace 3_ Smoothness of solutions of pseudodifferential and inequality constraints; nonlinear equations least squares; and general nonlinear 4_ Systems of elliptic pseudodifferential equations systems of equations. in a halfspace 5. Pseudodifferential operators with variable symbols TO CONTRIBUTE PAPER AND POSTER 6. Boundary value problems for elliptic pseudo PRESENTATIONS WRITE FOR AN differential operators in a bounded domain with ABSTRACT FORM: smooth boundary 7_ Applications • Volume 52, xii + 376 pages (hard cover) List price $75, institutional member $56, SJ.aJ11. individual member $38 ISBN 0-8218-4503-9; LC 80-39789 DEPARTMENT K Publication date: May 1981 117 South 17th Street To order, please specify MMON0/52N Philadelphia, PA 19103 Prepayment is required. Send to AMS, or call 215-564-2929 P. 0. Box 1571, Annex Station, Providence, Rl 02901 Abstracts must be received by February 1, 1984

IEIIEIIEIIEIIEIIEIIEIIEIIEIIEIIEIIEIIEIIEliEliEliEI f'-~-~--~------~-----, UNIVERSITY OF HOUSTON University Park OKLAHOMA STATE UNIVERSITY DEPARTMENT OF MATHEMATICS Tenure Track and Visiting Positions M. D. Anderson Choir POSITIONS: Several tenure track assistant The Department seeks applications or nomina and associate professorships; visiting appoint Anderson Professorship of tions for the M.D. ments all levels. Mathematics. BEGINNING: September 1, 1984 The holder of this chair should have outstanding credentials in research and teaching, and is ex DUTIES: Active research program and teach pected to provide scientific leadership for the De ing load of no more than two courses per partment. semester. The Department is emphasizing development in MINIMUM QUALIFICATIONS: Ph.D. in the applied areas of mathematics and special con mathematics; research achievement or poten sideration will be given to candidates in these tial; commitment to teaching. fields. Inquiries, however, are welcome from DEADLINE: January 15, 1984forfull con people specializing in any area of mathematics. sideration. All inquiries, nominations or applications should be sent to: WRITE TO: William Jaco, Head Professor Garret J. Etgen, Chairman Department of Mathematics Department of Mathematics-University of Houston Oklahoma State University University Park Stillwater, Oklahoma 74078 Houston, TX 77004 (713) 749-4827 Oklahoma State University is an equal The University of Houston is on equal oppor opportunity employer. tunity/affirmative action employer.

834 ~~~;.rna!... fi CALL FOR PAPERS APPLICANDAE MATHEMATICAE An International Journal on Applying Mathematics and Mathematical Applications Editor: IVAN RIVAL University of Calgary, Canada Managing Editor: MICHIEL HAZEWINKEL This interdisciplinary journal seeks to Center for Mathematics and Computer Science, Amsterdam publish original work on the theory of ordered sets and all its applications. For Regional Co-managing Editors further information, potential contribu ALAIN BENSOUSSAN, France tors should write to the Editor at the PALLE E. T. J0RGENSEN, Denmark following address: STEVEN I. MARCUS, U.S.A. Dept. of Mathematics and Statistics H. J. SUSSMAN, U.S.A. The University of Calgary 2500 University Drive N.W. The journal is devoted to the art and Calgary, Alberta T2N 1N4 Canada techniques of applying mathematics and the development of new applicable mathematical theories. It contains papers D. Reidel Publishing Company on the different aspects of the relation between theory and application: de scriptive papers on actual applications, papers on technique and method when applying existing mathematical tools (e.g. in working examples). and of special THE MATHEMATICS DEPARTMENT importance, papers on mathematics of the motivated. by the prospect of potential UNIVERSITY OF FLORIDA application, and on those established announces the opening of one tenure-track assis parts of mathematics which seem to be tant professorship beginning August 1984. Those on the threshold of application. Longer applying for this position should have demonstrable survey, review, and state-of-the-art papers research potential. Of particular interest are appli are written with a large and varied cants with postdoctoral experience and those with academic audience in mind. Mathematics research interests in numerical analysis, partial dif is applicable to a truly imposing range ferential equations, linear algebra, topology, and of problems in a wide variety of fields, logic. The salary will be highly competitive. Appli often in surprising ways, and this journal cants should provide a rl!suml!, a list of publica tions, and should arrange for at least three letters aims to contribute significantly to estab of reference to be sent to: lishing and communicating this applicabil ity. Jean A. Larson Chairman, Search and Screen Committee Subscription Information Department of Mathematics 1983, Volume 1 (4 issues) University of Florida Institutional rate: Dfl.185,- I US$ 74.00 Gainesville, Florida 32611 Private rate: Dfl. 85,- I US$ 34.00 Applications must be received before January 15, 1984. For a free sample copy please write to: The University of Florida is an equal oppor D. Reidel Publishing Company tunity employer. P.O. Box 17 3300 AA Dordrecht Holland

835 MATHEMATICAL SCIENCES EMPLOYMENT REGISTER Instructions for Applicant's Form on facing page The form. Applicants' forms submitted for the Employment Register at the Joint Mathematics Meet ings in Louisville will be photographically reproduced in the December issue of Employment Information in Some Mathematical Questions the Mathematical Sciences to appear in December 1983. in Biology- Neurobiology They will also be posted at the Employment Register. Robert M. Miura, Editor The forms must be carefully typed using a fresh black ribbon. The best results are obtained with a The six papers presented in this book deal with carbon-coated polyethylene film ribbon, but satisfac three different aspects of neurobiology-the morph tory results may be obtained using a ribbon made of ology of nerve cells, the analysis and study of action nylon or other woven fabric if suitable care is exer potential phenomena, and ion movements inside and cised. It is important that the keys be clean and make outside nerve cells. The papers are addressed to a sharp, clear impression. Do not erase-it causes biologists, especially physiologists and neuroscien smudges which reproduce when photographed. Use tists, and mathematicians who are interested in the a correcting typewriter or correction tape or fluid if applications of mathematics to neurobiology. They necessary. Submit the original typed version only. should also appeal to others who have general inter Copies will not reproduce properly and are not accept ests in seeing the interactions between mathematics able. Hand lettered forms will be returned. and experimental neurobiology. Applicants' forms must be received by the Society The collection of papers contains experiments by December 5, 1983 in order to appear in the spe and theory working together and leads to a better cial issue of ElMS, and must be accompanied by the understanding of neurobiology. Most of the earlier Preregistration and Housing Form printed on pages books in this series have concentrated mainly on 839 and 840. See pages 788 and 789 in this issue for mathematics-a few on biology. Here there is a information and instructions. Forms received past the healthy mix of the two. Four of the papers were deadline will be returned. written by experimentalists who also do mathematics. The summary strip. Information provided here will Readers should gain an appreciation of the synergy be used to prepare a printed list of applicants for dis between experiment and mathematics and a view of tribution to employers. Please supply all information the current state of basic research in mathematical requested, and confine your characters to the boxes neurobiology. provided. Use the codes below. Circled letters identify corresponding items on the form and the strip. These lectures were presented at the Sixteenth Annual Symposium on Some Mathematical Ques @ Speeialties tions in Biology at the AAAS meeting in Washing AL = Algebra AN = Analysis ton, D. C. in January 1982. It was jointly organized BI = Biomathematics BS = Biostatistics and sponsored by AMS, SIAM, and Section A, CB = Combinatoric• CM = Communication CN = Control CS = Computer Science Mathematics of the AAAS. CT = Circuits DE = Differential Equations EC = Economics ED = Mathematical Education CONTENTS FA = Functional Analysis FI = Financial Mathematics Speakers and session chairmen FL = Fluid Mechanics GE = Geometry Robert M. Miura, Preface HM = History of Math LO = Logic Charles F. Stevens, Quantitative specification of MB = Mathematical Biology ME = Mechanics neuron form MO = Modelling MP = Mathematical Physics john Rinzel, Neuronal plasticity (learning} MS = Management Science NA = Numerical Analysis Richard E. Plant, The analysis of models for excit NT = Number Theory OR = Operations Research able membranes: An introduction PR = Probability SA = Systems Analysis ST = Statistics TO = Topology Alwyn C. Scott, Nerve pulse interactions john A. Connor and Georgia Nikolakopoulou, Cal @ Career Objectives cium diffusion and buffering .in nerve cytoplasm AR = Academic Research AT = Academic Teaching Charles Nicholson and joseph M. Phillips, Diffusion NR = Nonacademic R&D NC = Nonacad. Consulting in the brain cell microenvironment NS = Nonacademic Supervision

1980 Mathematics Subject Classifications: 92; 34, 35, 42, ®CD Duties 58, 76, 94 T =Teaching U = Undergraduate Lectures on Mathematics in the Life Sciences G =Graduate R =Research Volume 15, x + 122 pages (soft cover) C = Consulting A = Administration List price $19; institutional member $14, S = Supervision IND = Industry individual member $10 GOY = Government DP = Data Processing ISBN 0-8218-1165-7; LC 82-18418 Location Publication date: November 1982 To order, please specify LLSCII15N E =East S =South C =Central M =Mountain Prepayment is required for all AMS publications. W.= West 0 =Outside U.S. I= Indifferent Order from AMS, PO Box 1571, Annex Station, @ U.S. Citizenship Status Providence, Rl 02901, or call 800-556-7774 C = U.S. Citizen P = Permanent Resident to charge with VISA or MasterCard. T = Temporarily in U.S. N = Non-U.S. Citizen

836 MATHEMATICAL SCIENCES EMPLOYMENT REGISTER APPLICANT FORM JANUARY 1984 LOUISVU..LE, KENTUCKY

APPLICANT: Nwn~------ Mailing address (include zip code)------

@ SpecialtieB------ @ Career objectives and accomplishments ACADEMIC: D Research, D Teaching NON-ACADEMIC: 0 Research and Development, 0 Consulting, 0 Supervision Near-term career goal.,______

Significant achievements or projects, including rol.~------

Honors and office,.,______Other (e.g., paper to be presented at THIS meeting)'------

Selected titles of papers, reports, books, patent..______

@Degree Year Institution ------@No. of abstracts, internal report..___ ------@No. of papers accepteu...______------®No. of books and patent..______EMPLOYMENT mSTORY: Present Previous Previous @Employer ------ Position @Duties Years ______to, ______to, ______to, ______DESm.ED POSITION:______@Duties·------ @ Available mo. __ fyr.__ LocatiOIL------ Salary______@References (Nwne and Institution)

©Citizenship ------ @AVAILABLE FOR INTERVIEWS: (Interviews for Session 4 scheduled on the basis of employer's request only.) Se1sion 1 D Session 2 D Session 3 D Session 4 D Fri. AM 9:30-11:45 Fri. PM 1:15-5:00 Sat. AM 9:30-11:45 Sat. PM 1:15-5:00 I do not plan to attend the Annual Meeting D

Family Name Firat Name Mailing Addreu SUMMARY STRIP I I I I I I I I I I I I 1,1 I I I I I I I 1, r-TI1-.-1-r--1 "I 1-.-1-r---1 r-TI 1--r-1-r-11 lr-rl--r-1-r---1 r-TI 1--r-1 ,.,I 1, Addren (cont'd.) Addren (cont'd.) State & Zip Code @ Specialtiea I I I I I I I I I I I I I I 1.1 I I I I I I I I I I I I I I 1.1 I I I I I I I I. OJ OJ OJ CD OJ. @ Career objective• @M~~~==t@ Yr. @ Inatitution @) @ @ @Moat recent employer OJ OJ OJ CD OJ. ITIIJ. OJ. I I I II I II II I. OJ. OJ. DO. II I I I I I I I II. @ Preaent dutiea ITIIJ(!)Deair,ediTIIJdutiea ' ®OJ!~·~.}~' D©, ~ se ..iona D 11111111111. w 0 0 0

837 EHPLOYER FORM 11AThENATICALSCIENCES M1PLGYHE£;TRE(;ISTER LOUISVILLE, KENTUCKY JAiliUARY 26-28, 1984

INSTRUCTIOt-IS: Please read carefully before completinp: form below. Circled letters identify correspondinl! items in the FOI

El1PLOYER ~·oRM Institution Dept.

Name of Interviewer(s) City, State, Zip ® Title(s) of Position(s) ®Number of Positions Number of People Supervised © Starting I Salary @ Term of Appointment ® Renewal ( ) Possible Date mo. yr. yrs. ( ) Impossible Teaching hrs./week ® Specialties Sought 00 UJ © Degree Preferred____ @ Degree Accepted ____ Q) I:uties Q) Experience ® Citizenship Restriction 00 @ Available for Interviews Session 1 ( ) Session 2 ( ) Session 3 ( ) Session 4 ( )* Fri. AM, 9:30-11:45 Fri. PM, 1:15-5:00 Sat. AM, 9:3G-11:45 Sat. PM, 1:15-5:00 ® Number of Interviewers: --- Interviewers --- Interviewers --- Interviewers------Interviewers ©Start Institution City State ®Title of position (IDNo. mo. 1 yr. I I I I I I I I I I I I I I I I I I I I 1.1I I I I I I I I I I I I I I I I /.CD.I I I I II I I 1·1.CD.ITJ/OJ.

® CD ® Specialties sought ® ®

NOTES: ® Inst, Lect, Asst Prof, Asso Prof, Prof, Dean, Open, MTS(Member Technical Staff), OPAN(Operations Analyst), PREN(Project Engineer), RESC (Research Scientist); © Date 01/83, e.g.; ~ Possible=P, Impossible=!; ® Algebra=AL, Analysis=AN, Biomathematics=BI, Biostatistics=BS, Combinatorics =CB, Communication=CM,Control=CN, Computer Science=CS, Circuits=CT, Differential Equations=DE, Economics=EC,Mathematical Education=ED, Functional Analy sis=FA, Financial Mathematics=FI, Fluid Mechanics=FL, Geometry=GE,History of Mathematics=HM,Logic=LO, Mathematical Biology=MB, Mechanics=ME,Modeling =MD,Mathematical Physics=MP, ManagementScience=MS, Numerical Analysis=NA, NumberTheory=NT, Operations Research=DR, Probability=PR, Systems Analysis=SA, Statistics=ST, Topology=TO; ~aD Bachelor=B, Master=M, Doctor=D;

PREREGISTRATION SECTION: Please check the function(s) for which you are preregistering: Joint Mathematics Meetings [ 1 Employment Register- Applicant (no charge) [ 1 AMS Short Course [ 1 NOTE: Applicants who wish to be included in the special MAA Minicourses: issue of ElMS must submit applicant forms with preregistra· #1 [ 1 #5 [ 1 tion form and fee(s) by December 5. #2 [ J #6 [ ] Employment Register - Employer (fee $50) [ 1 #3 [ 1 #7 [ 1 Please be sure to complete and return herewith the appropri· #4 [ 1 #8 [ 1 ate Employment Register form. NOTE: I am preregistering for the Joint Meetings only in order to attend the MAA Minicourse(s). [ 1

1) NAME (Please print) Surname First Middle

2) ADDRESS Number and Street City State Zip Code

3) AMS Member code------orMAAmembercode ______4) ADDRESS FDR CONFIRMATION OF RODM RESERVATION IF OTHER THAN ABOVE

5) Employing institution------Unemployed [ 1 Emeritus [ 1

6) I am a student at------(7) Nameofspouse ____~~~---~~-~~----- (List if accompanying to meeting) 8) Accompanying children (number) ___ (names, ages, sexes) ------9) Member of AMS [ I, MAA [ 1, NONMEMBER [ 1. (Member discount applies only to members of AMS and MAA.) Member of other organizations: AWM [ 1, NAM [ 1 10) Joint Meetings fee enclosed$---- (11) Employer fee enclosed$---- (12) AMS Short Course fee enclosed$, ______

13) TOTAL AMOUNT ENCLOSED FOR 10 through 12 $ (Please make all checks payable to AMS. Canadian checks must be marked "In U.S. Funds". Do not include payment for MAA Minicourse(s).) 14) HOUSING DEPOSIT CHECK enclosed $ . N. B.! Please make this check payable to the Louisville Convention & Visitors Bureau and/or supply major credit card information on reverse where indicated. Please check here if you will not require a room. PLEASE BE SURE TO COMPLETE THE SECTION ON NEXT PAGE IF YOU WILL REQUIRE HOTEL ACCOMMODATIONS.

839 PREREGISTRATION AND HOUSING FORM, LOUISVILLE, KENTUCKY Housing Section: January 1984 Please indicate at least five choices in order of preference by writing 1, 2, 3, etc., in spaces at left on form, and by circling the requested room and rate. If the rate requested is no longer avail able, you will be assigned a room at another hotel at the next best available rate. If not all hotels are ranked, and all rooms have been filled at the ranked hotels, the assignment will be made at an unranked hotel with the next lowest rate. The rates listed below are subject to 9.2% hotel tax.

1) Name Phone number------2) Full address (for confirmation)------

3) Will arrive (date) at a.m./p.m., and depart (date) at a.m./p.m.

4) Enclosed is one night's deposit for each room reserved below in the amount of$ ------Enclosed is my personal check (where applicable) made out to the Louisville Convention .., & Visitors Bureau. Credit card type Card number Expiration date------;;;c ITI ;;;c Order of Name of Hotel (Numbers in parentheses Single Double Triple Quad Other Deposit Payments* ITI Twin Twin Obi. ! c;') choice indicate location on map in NOTICES.) $ $ $ $ $ $ $ (CHECK PAYABLE LC & VB) Vi ...... ;;;c BEST WESTERN-MIDTOWN (5) 25 N/A N/A 31 35 39 A orB > l -1 GALT HOUSE (2) 4() 43 N/A 43 46 48 Parlor A orB :c: i5 ! suitc··-11 0 0 z ~ I c: > HOWARD JOHNSON'S (4) 38 44 N/A 44 50 56 ' A orB Vl z z 0 Suites HYATT REGENCY (7) 50 59 59 59 67 74 A/CC orB c;') :c: 180, 285 Vl 0 i ITIC: THE LOUISVILLE INN (9) 38 N/A 46 46 52 58 Parlor/ A/CC orB (') Vl Bdrm-85 -z-1 - 0 c;') RODEWAY (3) 43 49 N/A 49 49 49 ! A/CC orB z.., 0 ;;;c SEELBACH HOTEL (8) 48 54 54 54 60 66 Suites A/CC orB s: 100, 250 -;:;- 0 LOUISVILLE TRAVELODGE (6) 33 38 N/A 43 48 53 B I I "~- "c: Personal A/CC Personal Major

Augmented Lagrangian Methods Applications to the Numerical Solution of Boundary Value Problems by M. Fortin, Canada and R. Glowlnskl, France Studies in Mathematics and its Applications, Volume 15 The essential purpose of this volume is to present the principles of the Augmented Lagrangian Method, togethef with numerous applications of this method to the numerical solution of boundary-value problems for partial differential equations or inequalities arising in Mathematical Physics, in the Mechanics of Continuous Media and the Engineering Sciences. Contents: Preface. Chapters: 1. Augmented Lagrangian Methods in Quadratic Programming (M. Fortin and R. Glowlnskl). 2. Applications to the Stokes and Navier-8tokes Equations (M. Fortin and F. Thomasset). 3. On Decomposition-Coordination Methods using an Augmented Lagrangian (M. Fortin and R. Glowinskl). 4. Numerical Solution of Mildly Nonlinear Problems by Augmented Lagrangian Methods (M. Fortin, R. Gfowinski and T.F. Chan). 5. Application to the Solution of Strongly Nonlinear Second-Order Boundary Value Problems (M. Fortin, R. Glowinski and A. Marrocco). 6. Application of Algorithm ALG2to a Two Dimensional Elastoplasticity Problem (B. Mercier). 7. Application to the Numerical Solution of the Two Dimensional Flow of Incompressible Viscoplastic Fluids (D. Beg/sand R. Glowlnsk/). 8. Application to the Solution of Finite Nonlinear Elasticity Problems (J.F. Bourgat, R. Glow/nskl and P. Le Tallec). 9. Applications of the Method of Multipliers to Variational Inequalities (D. Gabey). References. 1983. xx+340 pages. Price: US $59.50/011. 140.00. ISBN tl-444-86680-9 Translation of the French edition published by Bordas (Dunod}, Paris.

Near-Rings The Theory and its Applications. Revised Edition by G. Pllz, Austria North-Holland Mathematics Studies, Volume 23 Comments from the Press on the Firat Edition: " ... The book is very well written ... The presentation is clear" (Zentralblatt tor Mathematik) " ... The book is well organized and gives s quick and easy introduction into the field of near-rings. It will certainly contribute to the further development of the subject... " (Mededelingen van het Wiskundig Genootschap) " ... The book is well written, self contained and is useful for beginner and also for specialists in algebra". (Bulletin Mathematique de Ia Societe des Sciences) This revised edition incorporates or at least touches upon most of the results discovered after the first edition. Four new chapters have been added. These concern: regular near-rings, tame near-rings, bicentralizer near-rings, and the connections between near-rings and automata. Contents: Chapters: 0. Prerequisites. Parts: I. Near-Ringa for Beginners. 1. The Elementary Theory of Near-Rings. 2. Ideal Theory. II. Structure Theo,Y. 3. Elements of the Structure Theory. 4. Primitive Near-Rings. 5. Radical Theory. Ill. Special Cluaaa of Near Ringa. 6. Distributively Generated Near-Rings. 7. Transformation Near-Rings. 8. Near-Fields and Planar Near-Rings. 9.More Classes of Near-Rings. Appendix. 1983. xil + 474 pages. Price: US $59.50/Dfl. 140.00. ISBN 0-7204-0566-1

IN THE U.S.A. AND CANADA: IN ALL OTHER COUNTRIES: ELSEVIER SCIENCE ELSEVIER SCIENCE PUBUSHING CO., INC. PUBLISHERS h h II d BOOK ORDER DEPARTMENT P.O. BOX211 1000 AE AMSTERDAM nort • o an s~~l~~~~::aATKlN THE NETHERLANDS US $ ptlces 818 velld only In the USA and Canllda. In ell other countries the Dutch Guilder price Is definitive. NH/MATHIBK/0868 All ptlces are subJect to change without prior notice. u- -;; u ~~ c::: "'u l'! ~ u 0 "'0 u ... Q. c::: :0 ~ u 'C ~ 'C nS ..."'nS .= Take a Look at Springer-Verlag's ·s:: 'C u ...0 c::: ·~ 'C c.. nS Perspectives in Mathematical Logic c::: 0 ... u nS ~ ·a'C

-A Series that explores the diversity of mathematical logic: its interconnections between different lines of research, and the links with other branches of mathematics...

Degrees of Unsolvability the practicing set theorist will find Levy's Local and Global Theory book a welcome addition to literature." Manuel Lerman -Bulletin of the American Mathematical Society The author presents a systematic study of the interaction between local and global Work done during the last one-hundred degree theory. The most recent global years is covered, beginning with Cantor's results, which point to new local theorems discoveries in the 1870's and ending with needed for further progress, are included. results obtained around 1975. Some of the fascinating combinatorial 1979/391 pp./20 illus. I table/Cloth $29.00 methods of recursion theory are introduced, ISBN 0-387-08417-7 and the use of these methods for proving global theorems about the degrees are Recursion-Theoretic Hierarchies simultaneously shown. P.G. Hinman 1983/307 pp./56 illus./Cloth $49.50 "It is an excellent text for beginning ISBN 0-387-12155-2 graduate students with a good formal mathematical background." General Recursion Theory -Bulletin of the American An Axiomatic Approach Mathematical Society. Jens E. Fenstad This volume examines the theory of A unified, detailed and coherent account of definability for some fundamental mathe general recursion theory is presented. Focus matical structures: natural numbers, sets of is on the general theory of computation, natural numbers (real numbers), and showing its connections with other parts of ordinal numbers. recursion theory. 1978/480 pp./Cloth $55.00 1980/225 pp./Cloth $46.00 ISBN 0-387-07904-1 ISBN 0-387-09349-4 Forthcoming in the Basic Set Theory Undergraduate Texts in Azriel Levy Mathematics series ...... "for advanced students who already Mathematical Logic know some logic and set theory, but who H.D. Ebbinghaus and J. Flum, ~ want to see a careful treatment of the 0 LU 0 logical underpinnings of set theory ... Also, Universitiit Freiburg, FRG, and N u -.:1' 0'1 0'1 especially because of the quality references, Wolfgang Thomas, Aachen, FRG 0 N ~ ~ 0 N ...J To order write: Springer-Verlag New York, Inc. 175 Fifth Avenue, New York, N.Y. 10010 § Tokyo ... z \0 Ill Springer-Verlag .... < "'0 u 0 c.. u u"' C2 = ...c ·;; LU :l 0 :E d ~ z