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z i 0 < ~ 3 November 1980, Issue 205 CT ...~ Volume 27, Number 7, Pages 577-656 ..... 1.0 Providence, Rhode Island USA 00 0 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 783 January 7-11, 1981 San Francisco, California OCTOBER 22 January (87th Annual Meeting) 784 March 20-21, 1981 Notre Dame, Indiana JANUARY19 February 785 April 23-25, 1981 Reno, Nevada FEBRUARY 24 April 786 May 15-16, 1981 Pittsburgh, Pennsylvania MARCH 2 April 787 June 19-20, 1981 Portland, Oregon APRIL 20 June 788 August 17-21, 1981 Pittsburgh, Pennsylvania JUNE 1 August (85th Summer Meeting) November 6-7 Austin, Texas January 13-17, 1982 Cincinnati, Ohio (88th Annual Meeting) January 9-13, 1985 Anaheim, California (91 st Annual Meeting) January 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

ADDITIONAL DEADLINES JANUARY ISSUE FEBRUARY ISSUE Advertising November 14 january 27 News and Special Meetings October 22 january 12

OTHER EVENTS SPONSORED BY THE SOCIETY January S-6, AMS Short Course. Cryptology in Revolution: Mathematics and Models, San Francisco, California, This issue, p. 587 January 8, Symposium on Some Mathematical Questions in Biology, Toronto, Ontario, Canada, This issue, p. 598 June 29-July 11, AMS-SIAM Summer Seminar on Fluid-Dynamical Problems in Astrophysics and Geophysics, This issue, p. 600

Subscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are pared four pre­ to six weeks in advance of the date of mailing. Requests for a change of address should always include the mem­ ber or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U.S. Postal change-of-address Service forms are not adequate for this purpose, since they make no provision for several important items of infor· mation which are essential for the AMS records. Suitable forms are published from time to time in the 1980, page 378). Notices (e.g. june The Society rents three post office boxes in Providence. All general correspondence should be addressed to the at Post Society Office Box 6248, Providence, Rl 02940; dues payments and orders for Society publications (except for ElMS) should be addressed to Post Office Box 1571, Annex Station, Providence, Rl 02901; all correspondence relating to preregistration for meetings or to Employment Information in the Mathematical Sciences should be addressed to Post Office Providence, Rl 02940. Box 6887, [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 and Providence, Rl 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 the other address, and information in brackets above, is a technical requirement of the U.S. Postal Service. This 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 the AMS office. in processing such requests Notices of the American Mathematical Society

Volume 27, Number 7, ~ovember 1980

EDITORIAL COMMITTEE Ed Dubinsky, Richard J. Griego, Robion C. Kirby, Arthur P. Mattuck, Susan Montgomery, Barbara L. Osofsky, Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst

ASSOCIATE EDITOR FOR QUERIES Hans Samelson

SUBSCRIPTION ORDERS Notices is published eight times a 578 MEETINGS OF THE SOCIETY year (January, February, April, June, Knoxville, Tennessee, November 14, 578 August, October, November, and San Francisco, California, january 7, 584 December). Subscription for Vol. 27 (1980), $22.00 list, $11.00 member. Symposium on Mathematical Biology, The subscription price for members Toronto, Ontario, january 8, 598 is included in the annual dues. Sub· Notre Dame, Indiana, March 20, 599 scriptions and orders for AMS publi· cations should be addressed to the Summer Seminar, june 29, 600 American Mathematical Society, Special Sessions, 599; Invited Speakers, 600 P. 0. Box 1571, Annex Station, Providence, R.I. 02901. All orders 601 QUERIES must be prepaid. 602 24th ANNUAL AMS SURVEY Faculty Salaries, Tenure, Women, 602; ADVERTISING & INQUIRIES The Notices publishes situations Salary Survey, 607; Report, 1980 Survey of wanted and classified advertising, New Doctorates, 608; Report, 1980 Nonacademic and display advertising for publishers Salary Survey, 610; Doctorates Conferred in and academic or scientific organiza· tions. Requests for information: 1979-1980, 616 Advertising: Virginia Biber 630 LETTERS TO THE EDITOR Change of address or subscriptions: Rena Harty 634 NEWS & ANNOUNCEMENTS To avoid interruption in service please send address changes four to six News from theN. S. F., 615, 637 weeks in advance. It is essential 638 MISCELLANEOUS to include the member code which appears on the address label with Personal Items, 638; Deaths, 638 all correspondence regarding 639 SPECIAL MEETINGS subscriptions. Address correspondence to American Mathematical Society, 642 AMS REPORTS & COMMUNICATIONS P.O. Box 6248, Providence, Rl 02940. Recent Appointments, 642; Candidates for Telephone 401·272·9500. 1981 Elections, 642 Second class postage paid at Providence, Rl, and additional mailing 643 PROBABILITY THEORY & STATISTICS offices. Copyright © 1980 by the New Selections am! Backlist, 643 American Mathematical Society, Printed in the United States of America. 648 ADVERTISEMENTS Knoxville, November 14-15, 1980, University of Tennessee Program for the 782nd Meeting

The seven hundred eighty-second meeting of the registration fees for the meeting will be $5 for non­ American Mathematical Society will be held at the members, $3 for members of the American Mathe­ University of Tennessee, Knoxville, from noon matical Society, and $1 for students or unemployed Friday to 5:00p.m. Saturday, November 14 and 15, persons. 1980. All sessions will be held in the University Center, Cumberland Avenue and Stadium Drive. Accommodations Although accommodations are available at sev- Invited Addresses eral local motels within walking distance of the meet­ By invitation of the Committee to Select Hour ing, blocks of rooms have been set aside at the Speakers for Southeastern Sectional Meetings there following locations. Participants should make their will be three invited one-hour addresses. The speakers own reservations directly with the motels, and identify and titles of their talks arc: themselves as participants in the AMS meeting. The FRANK QUINN, Virginia Polytechnic Institute deadline for reservations was October 15, 1980. and State University, The topological characterization of manifolds. Sheraton Campus Inn (0.3 mile) DAVID G. SCHAEFFER, Duke University, 1706 Cumberland Avenue, S.W. Qualitative analysis of the Taylor problem in a finite Telephone: 615-524-4681 cylinder by singularity theory. ~n~e $22 Dou~e $27 DON ZAGIER, University of Maryland and $6 per additional person Univcrsitat Bonn, Special values of L series attached to modular forms. University Travel Inn (0.4 mile) 1700 Clinch Avenue, S. W. Telephone: 615-546-5974 Special Sessions Single $19 plus tax-U.T. Student Rates By invitation of the same committee, there will Double $26 plus tax be three special sessions of selected twenty-minute $5 per additional person papers: Holiday Inn (1 mile) Free boundary problems, LAWRENCE C. 621 Dale Avenue EVANS, University of Maryland, College Park. The Telephone: 615-525-5371 speakers will be Roger R. Alexander, Joannis ~n~e $22 Dou~e $29 Athanasopoulos, John R. Cannon, Colin W. Cryer, $4 per additional person Emmanuele DiBenedetto, Lawrence C. Evans, Robert R. Jensen, Bruce Turkington, R. E. White, and David Holiday Inn (1 mile) George Wilson. Downtown Chapman Highway Geometric topology, STEVEN C. FERRY, Uni­ Telephone: 615-573-1921 versity of Kentucky. The speakers will be J. W. Single $25 Double $34 Cannon, Thomas A. Chapman, F. T. Farrell, Wu­ $4 per additional person Chung Hsiang, Larry S. Husch, Shin' ichi Kinoshita, Hyatt Regency Knoxville (1.5 miles) George Kozlowski, Louis Montejano, Gerard A. 500 E. Hill Avenue Venema, John J. Walsh, and David C. Wilson. Telephone: 615-637-1234 Number theory, CARL POMERANCE, University Single $41 Double $41 of Georgia. The speakers are Krishnaswami Alladi, Richard F. Arenstorf, Joel V. Brawley, Jr., E. Rodney Weather Canfield, Harold G. Diamond, John D. Fulton, Joseph The average mean temperature during the month L. Gerver, Robert Gold, J. S. Hsia, Robert M. of November is 60.9°F. The average rainfall for the McConnel, Randy Tuler, Jan Turk, Theresa P. month of November is 2.67 inches, and the probable Vaughan, and Samuel S. Wagstaff, Jr. percent of sunshine is 60%. Contributed Papers There will also be sessions for contributed ten­ Food Service and Entertainment minute papers. Food service is available in the University Center and in each motel listed. Numerous fast food places Registration arc located adjacent to the campus on Cumberland The registration desk will be in Room 239 of the Avenue. A list of restaurants and their locations will University Center, and will be open from 10:00 a.m. be available at the registration desk. Coffee will be to 4:00p.m. on Friday, November 14, and from available in Room 220 of the University Center. 8:30 a.m. to noon on Saturday, November 15. The A beer party is planned for Friday evening.

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v. v...... Travel via Interstates 1-40 and 1-75; exits to the University are clearly marked. Parking facilities on campus will Knoxville is located in eastern Tennessee and is be arranged. served by a major airport, as well as Greyhound and Trailway bus lines. Limousine service is available Emergency Messages from the airport to the University campus and costs Messages may be left. at the office of the Depart­ $7 per person. Knoxville is accessible by automobile ment of Mathematics: 615-974-2462.

PRESENTERS OF PAPERS Following each name is the number corresponding to the speaker's position on the program • Invited one-hour lecturers • Special session speakers *Alexander, R. 28 *Cryer, C. W. 29 )amison-Waldner, R. E. 62 •Quinn, F. 1 *AIIadi, K. 34 Davis, S. W. 60 *jensen, R. R. 11 Rajagopalan, M. 56 Anderson, D. F. 46 *Diamond, H. G. 35 johnson, G. A. 48 •Schaeffer, D. G. 18 *Arenstorf, R. F. 12 *Di Benedetto, E. 25 )ones,)., Jr. 67 Shaw, ). K. 36 Arnold, J. T. 47 *Evans, L. C. 26 Kaneko, H. 44 Spikes, P. W. 43 • Athanasopoulos, I. 27 Evans, T. 64 *Kinoshita, S. 23 *Tuler, R. 14 Aull, C. E. 57 *Farrell, F. T. 21 *Kozlowski, G. 6 *Turk, ). 32 Benz, S. L. 41 France!, M. A. 65 Kreimer, H. F. 63 *Turkington, B. 1 0 Betounes, D. E. 40 *Fulton, ). D. 54 Lang, ). 50 *Vaughan, T. P. 31 Blackmore, D. 42 Gerlach, W. P. 37 Lewis, W. 61 *Venema, G. A. 3 *Brawley,J.V. 16 *Gerver, J. L. 55 *McConnel, R. M. 30 *Wagstaff, S. S., Jr. 53 Brewer, ). 51 Gilmer, R. 49 Mobley, E. C. 52 *Walsh,).). 24 *Canfield, E. R. 33 *Gold, R. 15 Mallin, R. A. 66 *White, R. E. 9 *Cannon, J. R. 7 Gruenhage, G. 59 *Montejano, L. 22 *Wilson, D. C. 2 *Cannon, J. W. 4 *Hsia, J. S. 13 Parker, G. E. 38 *Wilson, D. G. 8 Carmichael, R. D. 39 *Hsiang, W. C. 20 Phelps, I. K. 58 •Zagier, D. 17 *Chapman, T. A. 19 *Husch, L. S. 5 Pleasant, I. C. 45

PROGRAM OF THE SESSIONS The time limit for each contributed paper in the AMS general sessions is ten minutes. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the November 1980 issue of Abstracts of papers presented to the American Mathematical Society. Numbers in parentheses following the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

FRIDAY, 12:30 P.M. Invited Address, Shiloh Room 12:30- 1:30 (1) The topological characterization of manifolds. Professor FRANK QUINN, Virginia Poly- technic Institute and State University (782-G5)

FRIDAY, 1:45 P.M. Special Session on Geometric Topology. I, Room 223 1:45- 2:05 (2) Mappings with 1-dimensional absolute neighborhood retract fibers. Professor JOHN J. WALSH and Professor DAVID C. WILSON*, University of Florida (782-G2) 2:10- 2:30 (3) Approximating topological embeddings of 3-cells. Preliminary report. GERARD A. VENEMA, Calvin College (782-G11) 2:35- 2:55 (4) The growth of fundamental groups. Preliminary report. Professor J. W. CANNON, Uni- veristy of Wisconsin, Madison (782-G16) 3:00- 3:20 (5) Embedding continua up to shape. II. Professor L. S. HUSCH, University of Tennessee, Knoxville (782-G1) 3:25- 3:45 (6) Remarks on the cell-/ike mapping problem. Preliminary report. Professor GEORGE KOZLOWSKI, Auburn University, Auburn (782-G13)

FRIDAY, 1:45 P. M. Special Session on Free Boundary Problems. I, Room 224 1 :45- 2:05 (7) The one phase Stefan problem subject to the specification of energy. Professor JOHN R. CANNON*, University of Texas, Austin, and Professor JOHN VAN DER HOEK, Uni­ versity of Adelaide, Australia (782-B2) 2:10- 2:30 (8) Composition of solidified binary alloy from a simple solidification model. Preliminary report. D. G. WILSON*, Union Carbide Corporation, Oak Ridge, ANDREW LACEY, University of Oxford, England, and A. D. SOLOMON, Union Carbide Corporation, Oak Ridge (782-84)

580 2:35- 2:55 (9) Numerical solution of the Stefan problem with other nonlinear terms. R. E. WHITE, North Carolina State University and Michigan State University (782-C2) 3:00- 3:20 (10) Vortex rings: existence and asymptotic estimates. Professor AVNER FRIEDMAN and Professor BRUCE TURKINGTON*, Northwestern University (782-C1) 3:25- 3:45 (11) The nature of the seepage face. Professor L. CAFFARELLI, University of Minnesota, Minneapolis, Professor ROBERT R. JENSEN*, University of Kentucky, and Professor D. KINDERLEHRER, University of Minnesota, Minneapolis (782-B8)

FRIDAY, 1 :45 P. M. Special Session on Number Theory. I, Room 225 1:45- 2:05 (12) Distribution of integral points on ellipsoids. Preliminary report. R. F. ARENSTORF, Vanderbilt University (782-A 15) 2:10- 2:30 (13) Sums of integer squares in number fields. Professor J. S. HSIA, Ohio State University, Columbus (782-A7) 2:35- 2:55 ( 14) A new class of arithmetic sums. Professor RANDY TULER, University of Georgia (782-A 1) 3:00- 3:20 (15) Cyclotomic units and Coates-Wiles series. Professor ROBERT GOLD, Ohio State Univer­ sity (782-A5) 3:25- 3:45 (16) Counting matrices by Drazin index. Professor JOEL V. BRAWLEY, Clemson University (782-A 11)

FRIDAY, 4:00 P. M. Invited Address, Shiloh Room 4:00- 5:00 (17) Special values of L series attached to modular forms. Professor DON ZAGl ER, Univer­ sity of Maryland, College Park

SATURDAY, 8:30A.M. Invited Address, Shiloh Room 8:30- 9:30 (18) Qualitative analysis of the Taylor problem in a finite cylinder by singularity theory. Pro­ fessor DAVID G. SCHAEFFER, Duke University (782-B9)

SATURDAY, 9:45A.M. Special Session on Geometric Topology. II, Room 223 9:45-10:05 (19) Constructing approximate fibrations. T. A. CHAPMAN* and STEVE FERRY, University of Kentucky (782-G14) 10:10-10:30 (20) A structure set analogue of Chapman-Ferry-Quinn theory. Professor F. T. FARRELL, University of Michigan, Ann Arbor, and Professor W. C. HSIANG*, Princeton University (782-G15) 10:35-10:55 (21) The Whitehead group of poly-(finite or cyclic) groups. F. T. FARRELL*, University of Michigan, Ann Arbor, and W. C. HSIANG, Princeton University (782-A 18) 11 :00-11 :20 (22) (3-homotopy equivalences have a.-cross sections. LUIS MONTEJANO, Institute for Ad­ vanced Study (80T-G85) 11 :25-11 :45 (23) On the decomposition of are-and-ball pairs. Preliminary report. Professor SHIN'ICHI KINOSHITA, Florida State University (782-G6) 11:50-12:10 (24) Examples of cell-like maps which are not shape equivalences. ROBERT J. DA YERMAN and JOHN J. WALSH*, University of Tennessee, Knoxville (782-G3)

SATURDAY, 9:45A.M. Special Session on Free Boundary Problems. 11, Room 224 9:45-10:05 (25) Pseudo parabolic equation and free-boundary problems. Preliminary report. E. Dl BEN­ EDETTO* and R. E. SHOWALTER, University of Texas, Austin (782-B7) 10:10-10:30 (26) Regularity of the solution to the one-dimensional fast chemical reaction problem. Pre­ liminary report. Professor LAWRENCE C. EVANS, University of Maryland, College Park (782-B1) 10:35-10:55 (27) Regularity of the solution of an evolution problem with inequalities on the boundary. Preliminary report. IOANNIS ATHANASOPOULOS, University of Kentucky (782-B6)

581 11:00.11:20 (28) A discontinuous nonlinear eigenvalue problem involving a free boundary. ROGER ALEXANDER, Rensselaer Polytechnic Institute (782-B3) 11 :25-11 :45 (29) Proofs of convexity of free boundaries using the maximum principle. Professor COLIN W. CRYER, Univeristy of Wisconsin, Madison (782-C4)

SATURDAY, 9:45 A. M. Special Session on Number Theory. II, Room 225 9:45-10:05 (30) Characterization and enumeration of subfields of Fq [x ]/(M). Professor ROBERT M. McCONNEL, University of Tennessee, Knoxville (782-A6) 10:10.10:30 (31) Computational methods for algebraic number fields. Preliminary report. Dr. THERESA P. VAUGHAN, University of North Carolina, Greensboro (782-A21) 10:35-1 0:55 (32) Powers and almost powers. Dr. JAN TURK, University of Michigan, Ann Arbor (782-A 16) (Introduced by D. J. Lewis) 11 :0(}.11 :20 (33) On a problem of Oppenheim concerning "Factorisatio Numerorum."' Dr. E. R. CAN­ FIELD*, University of Georgia, Dr. P. ERDOS, Mathematical Institute of the Hungarian Academy of Sciences, Hungary, and Dr. C. POMERANCE, University of Georgia (782-A19) 11 :25-11 :45 (34) The Moebius function and integers with restricted prime factors. Professor KRISHNAS­ WAMI ALLADI, University of Michigan, Ann Arbor (782-A8) 11 :5(}.12:1 0 (35) A kind of harmonic analysis of l~(it)12/t. Professor HAROLD G. DIAMOND, University of Illinois, Urbana-Champaign {782-A4)

SATURDAY, 9:45 A. M. Session on Analysis. Room 227 9:45- 9:55 {36) Arguments of complex solutions of Hamiltonian systems. Preliminary report. Dr. J. K. SHAW, Virginia Polytechnic Institute and State University (782-B5) 10:0(}.1 0:1 0 (37) Connected envelopes of locally compact abelian groups. Preliminary report. WALTER P. GERLACH, Centre College of Kentucky (782-B10) 10:15-10:25 (38) A continuous integral equation arising from a stochastic matrix problem. Preliminary re­ port. TERRY J. WALTERS and G. EDGAR PARKER*, Pan American University {782-Bll) 10:3(}.1 0:40 (39) Growth of HP functions in tubes. Preliminary report. Professor RICHARD D. CAR­ MICHAEL* and Professor STEPHEN P. RICHTERS, Wake Forest University (782-B12) 10:45-1 0:55 (40) Mackey topologies for certain Kothe spaces. Preliminary report. Dr. DAVID E. BE­ TOUNES, University of Southern Mississippi (782-B13) 11 :0(}.11 :10 (41) Parameter estimation for retarded functional equations in a reproducing kernel Hilbert space. Preliminary report. STEPHEN L. BENZ*, Professor JAMES RENEKE, and Pro­ fessor ROBERT FENNELL, Clemson University (782-B14) 11 :1 5-11 :25 (42) On a theorem of Le and Ramanujan. Professor DENIS BLACKMORE, New Jersey In­ stitute of Technology (782-B15) 11 :3(}.11 :40 (43) Asymptotic behavior of the solutions of a higher order differential equation with deviat­ ing argument. Professor JOHN R. GRAEF and Professor PAUL W. SPIKES*, Mississippi State University, and Professor MYRON K. GRAMMATIKOPOULOS, University of loan­ nina, Greece (782-B16) 11 :45-11 :55 (44) Schauder decomposition and its application. Preliminary report. Dr. HIDEAKI KANEKO* and Dr. PETER Z. DAFFER, Louisiana Tech University (782-B17) 12:0(}.12: 10 (45) A uniqueness result concerning Prony's method for fitting linear combinations of ex­ ponentials. Dr. JAMES C. PLEASANT*, East Tennessee State University, and JOSEPH M. GARBER, Tennessee Eastman Company, Kingsport (782-C3)

SATURDAY, 9:45A.M. Session on Algebra. I, Room 235 9:45-' 9:55 (46) The Picard group of a graded domain. Professor DAVID F. ANDERSON, University of Tennessee, Knoxville (782-A2) 10:0(}.1 0:10 (47) Power series rings over Krull domains. Preliminary report. Dr. JIMMY T. ARNOLD, Virginia Polytechnic Institute and State University (782-A9)

582 10:15-10:25 (48) Partitioned matrices satisfying certain null space properties. Preliminary report. GREGERY A. JOHNSON, Auburn University (782-A14) (Introduced by Dr. Ben Fitz­ patrick) 10:3Q-10:40 (49) Ideals contracted from a Noetherian ring. Preliminary report. Professor ROBERT GIL­ MER*, Florida State University, and Professor WILLIAM HEINZER, Purdue University (782-A 17) 10:45-10:55 (50) Further results on the divisor class group of affine surfaces in A 3 over a field k of char­ acteristic p > 0. JEFFREY LANG, Purdue University (782-A20) 11 :OQ-11 :10 (51) Constructing projective algebras. Preliminary report. Professor JAMES BREWER* and Professor ANDREW KUSTIN, University of Kansas (782-A22) 11:15-11:25 (52) A note on the extendobility of geometric nets. Preliminary report. EVERETT C. MOB­ LEY, Emory University, Atlanta (782-A24)

SATURDAY, 1:30 P.M. Special Session on Number Theory. Ill, Room 225 1 :3Q- 1:50 (53) Recursion formulas for the Bernoulli numbers. Preliminary report. Professor SAMUEL S. WAGSTAFF, Jr., University of Illinois, Urbana-Champaign (782-A3) 1:55- 2:15 (54) Fibonacci numbers which ore primes. Preliminary report. Professor JOHN D. FULTON, Clemson University (782-A 13) 2:2(} 2:40 (55) Irregular sets of integers generated by the greedy algorithm. Preliminary report. Dr. JOSEPH L. GERVER, University of Georgia, Athens (782-A 12)

SATURDAY, 1:30 P.M. Session on Topology, Room 227 1:30 1:40 (56) Embedding the free group F(x) into F((Jx). Professor TEMPLE H. FAY, University of Southern Mississippi, Professor M. RAJAGOPA­ LAN*, University of Iowa, and Professor BARBARA V. SMITH-THOMAS, University of Alabama, Birmingham (782-G7) 1:45- 1:55 (57) Various types of embeddings. Preliminary report. C. E. AULL, Virginia Polytechnic Insti­ tute and State University (782-G4) 2:0Q- 2:10 (58) More on a weaker form of countable dense homogeneity. JUDY KENNEDY PHELPS, Auburn University, Auburn (782-GB) 2:15- 2:25 (59) Sup-characterization of stratifioble spaces. C. R. BORGES, University of California, Davis, and GARY GRUENHAGE*, Auburn University, Auburn (782-G9) 2:3(} 2:40 (60) Covering properties of strict p-spaces, Preliminary report. Dr. S. W. DAVIS, Miami Univer­ sity, Oxford (782-Gl 0) 2:45- 2:55 (61) Stable homeomorphisms, Galois spaces, and related properties in homogeneous continuo. Dr. WAYNE LEWIS*, Texas Tech University, and Dr. JUDY KENNEDY PHELPS, Auburn University, Auburn (782-G12) 3:0(} 3:10 (62) A finitary aspect of Helly's intersection theorem. Preliminary report. Dr. R. E. JAMISON­ WALDNER, Clemson University (782-D1)

SATURDAY, 1 :30 P. M. Session on Algebra, II. Room 235 1 :3(} 1:40 (63) Filtered complexes and exact couples. Preliminary report. Professor H. F. KREIMER, Florida State University (782-A23) 1:45- 1 :55 (64) Some connections between Steiner systems and self-conjugate sets of m. o.l. s. Professor TREVOR EVANS* and MARGARET A. FRANCEL, Emory University, Atlanta (782-A25) 2:0(} 2:10 (65) Conjugates of sets of mutually orthogonal latin squares. MARGARET A. FRANCEL, Emory University, Atlanta (782-A26) 2:15- 2:25 (66) Subgroups of simple algebras. Dr. R. A. MOLLIN, University of Lethbridge (782-A27) 2:3(} 2:40 (67) Common solutions of sets of linear matrix equations and applications. Preliminary report. Dr. J. JONES, JR.,* Air Force Institute of Technology, and Lt. MARK KRUELLE, Air Force Flight Dynamics Laboratory (782-A28) Frank T. Birtel New Orleans, Louisiana Associate Secretary

583 SAN FRANCISCO MEETINGS, January 7-11, 1981 Second Announcement

The january 1981 Joint Mathematics Meetings, 87TH ANNUAL MEETING OF THE AMS including the 87th Annual Meeting of the AMS, the january 7-10, 1981 1981 annual meeting of the Association for Sym­ Fifty-fourth Josiah Willard Gibbs Lecture. The bolic Logic, and the 64th annual meeting of the 1981 Gibbs Lecture will be presented at 8:30p.m. Mathematical Association of America, will be held on Wednesday, January 7, by CATHLEEN S. MORA­ january 7-11 {Wednesday-Sunday), 1981, in San WETZ of the Courant Institute of Mathematical Sci­ Francisco, California. The meetings will be preceded ences. Professor Morawetz will speak on The Mathe­ by the AMS Short Course on january 5-6 {Monday­ matical approach to the sonic barrier. Tuesday), 1981. The members of the Local Arrangements Com­ mittee are Donald j. Albers, Lenore Blum, William Colloquium Lectures. There will be one series of G. Chinn (chairman), Morris W. Hirsch, T. Y. Lam, four Colloquium Lectures presented by MARK KAC William J. LeVeque {ex officio), Yiannis N. Moscho­ of Rockefeller University. The title of the lecture vakis, Robert Osserman, Kenneth R. Rebman (pub­ series is Some mathematical problems suggested by licity director), David P. Roselle (ex officio), and questions in physics. The lectures will be given at Kenneth A. Ross (ex officio). 1:00 p.m. daily, Wednesday through Saturday, Jan­ uary 7-10. • • • • • WHERE TO FIND IT PAGE Retiring Presidential Address. PETER D. LAX of the Courant Institute of Mathematical Sciences NEW INFORMATION 585, 586 will speak at 10:45 a.m. on Thursday, January 8, on The influence of computing on mathematics. ANNUAL MEETING OF AMS 584 Gibbs and Colloquium Lectures, 1981 Oswald Veblen Prize in Geometry. The Presidential and Invited Addresses, ninth award of the Veblen Prize will be made at Special Sessions, Contributed Papers, 4:00 p.m. on Thursday, january 8. Council and Business Meetings, Prizes AMS SHORT COURSE 587 MAA MINICOURSE 585 AMS Invited Addresses OTHER ORGANIZATIONS 589 By invitation of the Program Committee, there will be eight invited one-hour addresses. The speak­ ASL,AWM,CBMS,MAA,MAG,NCTM ers, some of the titles, and the times of their talks TIMETABLE 591 are as follows: SHMUEL AGMON, Hebrew University, Israel, OTHER EVENTS 589 and the University of Virginia, How do eigenfunc­ Book Sales, Employment Register, tions decay-some recent results, 3:30p.m. Friday. Exhibits, NSF, Second-Hand Book Exchange GREGORY V. CHUDNOVSKY, Columbia Univ­ INFORMATION FOR PARTICIPANTS 592 ersity, An explicit solution of classical and quantum field theory models and parallel arithmetical prob­ Hotel Accommodations, Map, lems: A unified approach, 2:15 p.m. Thursday. Registration at Meeting, R. KEITH DENNIS, Cornell University, Stabiliz­ Registration Desk Services ation in algebraic K-theory, 2:15 p.m. Wednesday. MISCELLANEOUS INFORMATION 596 FEZA GURSEY, Yale University, Quaternion Child Care, Entertainment, Local Information, functions and the solution of gauge field equations, Parking, Travel, Weather 2:15p.m. Friday. JAMES E. HUMPHREYS, University of Massa­ chusetts, Amherst, Some problems in the cohomol­ DEADLINES ogy of algebraic groups, 9:30a.m. Thursday. Abstracts for consideration DENNIS SULLIVAN, University of Colorado, for special sessions Expired 10:30 a.m. Wednesday. Abstracts, contributed papers Expired MASAMICHI TAKESAKI, University of Califor­ Employment Register November 7 nia, Los Angeles, Report on von Neumann algebras, Preregistration and Housing November 7 2:15 p.m. Saturday. Preregistration cancellations MICHELE VERGNE, Massachusetts Institute of (50% refund) january 4 Technology, Some geometrical aspects of representa­ tions of Lie groups, 3:30p.m. Wednesday.

S84 Additions to First Announcement of San Francisco Meetings

The following changes have been made since the George Chia-Chu Hsiao, Carlos E. Kenig, Murray H. San Francisco meeting was first announced in the Protter, Jane M. Sloss, and Franc;ois Treves. October Notices. These changes have not been made Mathematical physics. Thomas Spencer. in the text of the announcement in this issue. The full name of j. Avron who will speak in the special session on Mathematical Physics is joseph AMS Panel to Discuss the Translation of Mat. Avron. Sbornik. In conformity with a resolution of the Council of August 19, 1980, there will be a panel Number theory. A. 0. L. Atkin, Harvey Cohn, discussion at 4:30 p.m. on Wednesday, january 7, jean-Marie DeKoninck, Daniel j. Madden, Kevin 1981, on questions concerning the Society's transla­ Snow McCurley, E. G. Straus, and Audrey A. Terras. tion of Mat. Sbornik. Panel members will be Anatole Topics in complex variables. Peter Jones. Beck, Ronald G. Douglas, Mark Kac, Calvin C. Moore Operator algebras and K-theory. Wu-Chung (moderator), and Richard S. Palais. The Council of Hsiang. August 22, 1979 passed a resolution deploring the Differential geometry and global analysis. discrimination against jewish authors in Mat. Sbornik Robert B. Gardner, Peter B. Gilkey, Samuel I. as evidenced by the very sharp decline in the number Goldberg, Howard A. Osborn, and jaak Vilms. of papers by jewish authors during the past several years. The president, at the request of the Council The speakers in the CEEP panel discussion on and then of the Trustees, has twice inquired into the Maintaining vitality in graduate programs in the situation without receiving a response. The contract 1980s, scheduled for 7:30p.m. on Thursday, are: for translation is a responsibility of the Trustees Edward A. Connors, department head at the Univer­ according to Article II, Sections 2 and 3 of the by­ sity of Massachusetts, Amherst; Frank T. Birtel, laws. The Trustees are aware of the Council resolu­ provost at Tulane University; john W. Jewett of tion and of a recommendation by the Council that Oklahoma State University; and Srinivasa S. R. in the absence of a response the Society seek to re­ Varadhan, director-elect, Courant Institute of Mathe­ negotiate the contract for the purpose of dropping matical Sciences. Donald C. Rung will serve as the translation of Mat. Sbornik. The panel discussion moderator. has been established in order to inform the members about ramifications of the problem. The subject of the MAA Minicourse is Topics In Data Analysis. The Minicourse will be held from AMS Invited Addresses. The title of Dennis 6:30 to 9:00p.m. on Friday, january 9, and from Sullivan's talk is Geometry of limit sets of Klein/an 7:00 to 9:30 p.m. on Saturday, January 10. groups. Child Care. Arrangements for child care in hotel AMS Special Sessions. More speakers have been rooms may be made by calling Childcare Switchboard added to several of the special sessions, as follows: at 415-282-7858 from 10:30 a.m. to 4:30 p.m., Graph theory. Charles M. Grinstead, Renu Monday through Friday, and between 5:00 p.m. and Laskar, and Thomas W. Tucker. 7:30 p.m. Wednesday evening. Special arrangements made prior to the weekend for weekend Homotopy theory. M. G. Barratt, john Harper, must be service. If arrangements are desired to leave children David Copeland Johnson, Stewart B. Priddy, Douglas during the day for child care, call the Toy Center at C. Ravenel, Clarence W. Wilkerson, and E. Bruce 415-285-7223 and ask for "Ish." Their address is Williams. 3164 24th Street. Ordered fields and real algebraic geometry. William A. Adkins. Entertainment. If sufficient interest is shown in Qualitative theory of differential equations. advance, the local chapter of the Oceanic Society Calvin D. Ahlbrandt, Shair Ahmad, Walter Allegretto, will organize whale watches of grey whales migrating Moses Boudourides, Lynn H. Erbe, John R. Graef, south. The trip will take about four hours, leaving Grant B. Gustafson, Philip Hartman, Don B. Hinton, the pier at approximately 10:00 a.m. At this time, Alan jeffrey, Gary D. jones, Woo Jong Kim, Takasi rates are still subject to negotiation, but they are Kusano, Alan C. Lazer, Sung j. Lee, Roger T. Lewis, estimated to be $40 (in any event less than $50) James S. Muldowney, Allan C. Peterson, Binyamin per person. Included will be a preparatory briefing Schwarz, Willie E. Taylor, Jr., William F. Trench, offered by the Oceanic Society at its headquarters and Norio Yoshida. in Fort Mason, the day prior to departure. Partici­ Elliptic systems in the plane. A. Kadir Aziz, pants are urged to have on hand adequate food, M. S. Baouendi, Freddy Brackx, R. Delanghe, Paul warm clothing (including possibly down jackets, R. Garabedian, Robert P. Gilbert, Gerard N. Hile, (Continued on next page.)

S8S (Continued from previous page.) wool socks, hats, gloves, and/or boots). Also highly Take #38 bus on Geary heading west. Get off at recommended is a good supply of seasickness pills, 8th Avenue and Fulton Street (the bus will be travel­ since rough seas may be encountered. In order that ing west on Fulton), take the pedestrian underpass the Oceanic Society might have an estimate of the leading directly to the museums. number of boats required, and of the most popular To California Palace of Legion of Honor (French day for this outing, interested participants are re­ paintings, Rodin sculptures}: Take #38 bus on Geary quested to complete the coupon on page 598 of this heading west. Get off at 33rd Avenue. Transfer to issue and return it to William G. Chinn, 539 29th #18 going direct to the Legion (operates Saturday Avenue, San Francisco, California 94121 as soon as and Sunday only). On weekdays when there is no possible. shuttle service to the Legion, take the #2 bus going On Friday, january 9, the Local Arrangements west on Sutter Street, get off at 34th Avenue, and Committee plans to hold a cocktail party and dance walk up the hill through Lincoln Park. Admission in the Continental Ballroom of the Hilton, from same as deYoung Museum. 9:00 p.m. to 12:30 a.m. Tickets will be approxi­ To Fisherman's Wharf and Cannery: One block mately $5, and should be purchased at the Trans­ east to Powell, south to Market for cable car (queue parencies section of the meetings registration desk in front of Woolworth's), or catch cable car on before 4:00p.m. on Friday. Powell at any intersection (going north). To Chinatown: Walk east on O'Farrell Street to Local Information. The following corrections Grant Avenue, turn left and follow Grant into China­ apply to the travel instructions given in the October town, four blocks north. Or, walk to Powell, board issue: cable car, get off at California Street. Walk down To Golden Gate Park, deYoung Museum, or the hill two blocks to Grant, or transfer to the Cali­ Asian Art Museum: Go one block north to Geary. fornia Street cable car.

Special Sessions list of speakers is Donald W. Anderson, Ralph Cohen, james P. Lin, Mark Mahowald, J. Peter May, Haynes In consultation with the Program Committee, R. Miller, joseph Neisendorfer, Paul S. Selick, and seventeen sessions of selected papers are scheduled. Victor P. Snaith. Sessions followed by an asterisk (*) will be restricted L and related to Wednesday and to Thursday morning. Sessions 1 metric spaces (e), organized by M. DEZA and RONALD followed by a black dot (•) will be restricted to L. GRAHAM of Bell Lab­ oratories in Murray Hill, New jersey. Thursday afternoon, Friday afternoon, and Saturday The list of afternoon. speakers includes R. Alexander, P. Assouad, D. Avis, Eiichi Bannai, Persi W. Diaconis, Edward R. Howorka, Classification of finite simple groups (•), organ­ lvo G. Rosenberg, W. C. Thompson, Stanislaw M. ized by MICHAEL ASCHBACHER of the California Ulam, and Hans S. Witsenhausen. Institute of Technology, DAVID GOLDSCHMIDT Ordered fields and real algebraic geometry (*), of the University of California, Berkeley, and DANIEL organized by DONALD W. DUBOIS of the Univer­ GORENSTEIN of Rutgers University. A partial list sity of New Mexico. The list of speakers will include of speakers is Michael Aschbacher, David Gold­ Carlos Andradas, Gregory W. Brumfiel, Charles N. schmidt, Daniel Gorenstein, Robert Louis Griess, Jr., Delzell, Andreas W. M. Dress, Gustave A. Efroymson, Geoffrey Mason, Gary M. Seitz, and Ronald M. Victor Espino, Robert Gilmer, Melvin Henriksen, Solomon. john R. Isbell, jonathan L. Merzel, joe L. Mott, jack E. Ohm, Albrecht Pfister, Tomas Recio, Alex Graph theory (e), organized by GARY CHAR­ Rosenberg, Heinz-Werner Schulting, Niels C. Schwartz, TRAND and ARTHUR T. WHITE of Western Mich­ Daniel B. Shapiro, A. Tognoli, T. M. Viswanathan, igan University. The list of known speakers is Stefan and Roger P. Ware. Andrus Burr, A. Keewatin Dewdney, Richard A. Duke, Vance Faber, joseph A. Gallian, Mark Gold­ Quadratic form theory (e), organized by RICH­ berg, Branko Griinbaum, joan P. Hutchinson, Paul C. ARDS. ELMAN of the University of California, Los Kainen, Hudson V. E. Kronk, Linda Lesniak-Foster, Angeles. The list of speakers is Lawrence Berman, Bennet Manvel, Zevi Miller, Torrence D. Parsons, Ronald P. Brown, Craig M. Cordes, Thomas C. Craven, Viera Krnanova Proulx, Richard Delose Ringeisen, Andrew G. Earnest, Robert Fitzgerald, Alexander J. Cecil C. Rousseau, janet Simpson, Saul Stahl, Charles Hahn, J. S. Hsia, Bill jacobs, Donald G. james, Suffel, William T. Trotter, Jr., and Curtiss E. Wall. jerrold L. Kleinstein, David B. Leep, Murray Marshall, Bernard R. McDonald, Takashi Ono, Arnold K. Pizer, Homotopy theory (e), organized by FREDERICK Paul Ponomarev, Olga Taussky-Todd, and Joseph L. R. COHEN of the University of Kentucky. A partial Yucas.

S86 American Mathematical Society Short Course Series Cryptology in Revolution: Mathematics and Models january 5-6, 1981

The American Mathematical Society, in conjunc­ Ziemer. The short course series is under the direc­ tion with its eighty-seventh annual meeting, will tion of the CEEP Short Course Subcommittee, present a one and one-half day short course entitled whose members are Ronald L. Graham (chairman), Cryptology in Revolution: Mathematics and Models Robert M. McKelvey, Cathleen S. Morawetz, Barbara on Monday afternoon, january 5, and all day Tues­ L. Osofsky, and Phillip D. Straffin, Jr. day, january 6, in the San Francisco Hilton. The The short course is open to all who wish to par­ program is under the direction of Richard J. Lipton ticipate upon payment of the registration fee. There of the Department of Computer Science at Princeton are reduced fees for students and unemployed indi­ University. viduals. Please refer to the section entitled INFOR­ Cryptology is rapidly changing. Ever since the MATION FOR PARTICIPANTS for details. invention of asymmetric cryptosystems, public cryp­ tology has changed in fundamental ways. There PROGRAM now are "unbreakable" cryptosystems. Applications The program will consist of six lectures of range from data bases to legal contracts; electronics seventy-five minutes each. The names of the speak­ fund transfers to the U. S. census. ers are listed below with the titles of their lectures. Cryptology depends for its success on several Synopses of these talks may be found on pages 516 areas of mathematics. It draws mostly on classic and 524 of the October 1980 issue of the Notices. number theory and computational complexity. How­ ever, other branches such as aspects of ergodic theory, information theory, and combinatorics also Monday, january 5, 2:00-4:45 p.m. play fundamental roles. The aim of this short course is to present a sur­ A short history of public cryptology. George Davida, vey of the nature and scope of the research in pub­ Department of Electrical Engineering, University lic cryptology. In addition to the basic technical of Wisconsin, Milwaukee, and Department of In­ ideas, there will also be a discussion of the role of formation and Computer Sciences, Georgia In­ public research in this area. stitute of Technology. A basic knowledge of elementary number theory Asymmetric cryptosystems. David P. Dobkin, De­ including congruences, Euler's theorem, primitive partment of Computer Science, University of roots, factorization, greatest common divisors, etc., Arizona will be presumed. For general information about the subject of the course, participants may consult Tuesday, january 6, 9:00 a.m.-5:00p.m. A new kind of cipher that would take millions of How safe are cryptosystems? Richard J. Lipton, years to break, by Martin Gardner in the August Department of Electrical Engineering and Com­ 1977 issue of Scientific American, pages 120-124, puter Science, Princeton University and Cryptology in transition by Abraham Lempel How secure are data bases? David P. Dobkin. (Department of Electrical Engineering, Technion­ Israel Institute of Technology, Haifa, Israel) in ACM Cryptographic protocol. Richard A. DeMilio, De­ Computing Surveys (special issue on cryptology), partment of Information and Computer Sciences, December 1979, pages 285-303. Georgia Institute of Technology. The short course was recommended by the So­ Access control structures. Michael A. Harrison, De­ ciety's Committee on Employment and Educational partment of Electrical Engineering and Compu­ Policy, whose members are Lida K. Barrett (chair­ ter Science, University of California, Berkeley. man), Arthur P. Mattuck, Donald C. Rung, Robert General discussion: What is the future of public j. Thompson, Hans Schneider, and Williasn P. work in cryptography?

HALMOS SYMPOSIUM AND BANQUET Friends of Paul R. Halmos have arranged a symposium and banquet in his honor, to be held january 6, 1981 in Berkeley and San Francisco. Names of speakers are given on page 549 of the October 1980 Notices. Tickets for the banquet are $22 per person; checks should be received by December 15, 1980 by Eric Nordgren, Department of Mathematics, University of New Hampshire, Durham, New Hampshire. 03824.

587 Qualitative theory of differential equations (*), Cohen, Edward George Effros, D. Handelman, Jerry organized by GARRET J. ETGEN of the University Kaminker, Calvin C. Moore, H. Moscovici, William of Houston, and KURT KREITH of the University L. Paschke, Jonathan M. Rosenberg, and Norberta of California, Davis. A related "warm up" meeting Salinas. There will be a problem session led by Effros. is scheduled to be held at the Davis campus of the Differential geometry and global analysis (•), University of California prior to the San Francisco organized by ALEXANDER P. STONE of the Univer­ meeting. sity of New Mexico. Elliptic systems in the plane (e), organized by Most of the papers to be presented at these ROBERT P. GILBERT of the University of Delaware. special sessions will be by invitation; however, anyone Geometric structures on manifolds (•), organized contributing an abstract for the meeting who feels by MORRIS W. HIRSCH of the University of Califor­ that his or her paper would be particularly appro­ nia, Berkeley. A partial list of speakers is David priate for one of these sessions should indicate this Fried, William Mark Goldman, Troels jorgenson, clearly on the abstract and should submit it by Steven P. Kerckhoff, and Shoshichi Kobayashi. October 8, 1980, two weeks earlier than the normal Mathematical physics(*), organized by JOEL L. deadline for contributed papers, in order that it may LEBOWITZ of Rutgers University. A partial list of be considered for inclusion. speakers is Michael Aizenman, j. Avron, jean Bric­ Contributed Paper Sessions mont, Russel Caflisch, Mitchell Feigenbaum, Sheldon Goldstein, Charles M. Newman, Barry Simon, Isadore There will be sessions for contributed papers M. Singer, Leonard Susskind, and M. john Westwater. Wednesday morning and afternoon, Thursday morn­ Low dimensional topology(*), organized by S. j. ing and afternoon, Friday afternoon, and Saturday LOMONACO, Jr., who is visiting at the University afternoon. Abstracts should be prepared on the of Oregon, while on leave from SUNY, Albany. A standard AMS form available from the AMS office partial list of speakers is Andrew Cassen, Micheal in Providence or in departments of mathematics, and Dyer, Michael Freedman, Lee Neuwirth, Dale Rolf­ should be sent to the AMS, P. 0. Box 6248, Provi­ sen, Martin Scharlemann, and Dennis Sjerve. dence, Rhode Island 02940, so as to arrive by the Number theory(*), organized by MELVYN B. abstract deadline of October 22, 1980. Members are NATHANSON and DON REDMOND of Southern reminded that a typing charge of $7 is imposed for Illinois University, Carbondale. The list of known retyping abstracts that are not in camera-ready form. speakers is Tom M. Apostol, RichardT. Bumby, Late papers will be accepted for presentation at the David V. Chudnovsky, Thomas W. Cusick, P. D. T. A. meeting, but will not be listed in the printed program. Elliott, Paul Erdos, Dorian Goldfeld, Larry J. Gold· Audio-Visual Equipment stein, Ronald L. Graham, Douglas A. Hensley, Neil B. Hindman, james G. Huard, Melvyn B. Nathanson, Rooms where special sessions and contributed Don Redmond, and Sanford L. Segal. paper sessions will be held will be equipped with an History of contemporary mathematics (Wednes­ overhead projector and screen. Blackboards will not day), organized by ROY RYDEN and HANK TROPP be available. State University. Fifty-minute talks of Humboldt Committee on Employment will be given by Garrett Birkhoff, Felix E. Browder, and Educational Policy (CEEP) Hugh L. Montgomery, Stephen Smale, Harold M. Stark, and John Todd. A meeting of department heads is being planned History of mathematics (Thursday morning and for 7:30p.m. on Thursday, January 8, which will Friday afternoon), organized by ARTHUR SCHLIS­ include a panel discussion on Maintaining vitality in SEL of the CUNY, John Jay College of Criminal graduate programs in the 1980's. This panel discus­ Justice. A tentative list of speakers includes Paul T. sion is being organized by Edward A. Connors of the Bateman, George P. Dantzig, J. Dieudonm\, Lars University of Massachusetts, Amherst, and Donald C. G~rding, Herman Goldstein, Frank C. Hoppensteadt, Rung of Pennsylvania State University. The names Mark Kac, Kurt Kreith, Jerzy Neyman, Clifford A. of the panel members will be announced in the Truesdell Ill, and Wolfgang R. Wasow. November Notices. Topics in complex variables(*), organized by Council Meeting GLENN E. SCHOBER of Indiana University. The pre­ liminary list of speakers includes Albert Baernstein The Council of the Society will meet at 2:00 II, James E. Brennan, Louis Brickman, David Drasin, p.m. on Tuesday, January 6, in Continental Parlors Peter L. Duren, Carl H. FitzGerald, Wolfgang H. 1 and 2 at the Hilton. Fuchs, Frederick W. Gehring, Walter Hengartner, Business Meeting William E. Kirwan II, Boris Korenblum, Thomas H. MacGregor, Lee A. Rubel, Allen L. Shields, Stephen The Business Meeting of the Society will take Smale, David A. Stegenga, Ted J. Suffridge, Stefan place at 5:00 p.m. on Thursday, January 8, in the ~- Warschawski, and Jang-Mei Gloria Wu. Continental Ballroom at the San Francisco Hilton. Operator algebras and K-theory (*), organized The secretary notes the following resolution of the by CLAUDE L. SCHOCHET of Wayne State Univer­ Council: Each person who attends a Business Meet­ sity. A preliminary list of speakers is William B. ing of the Society shall be willing and able to iden­ Arveson, Paul F. Baum, Bruce E. Blackadar, Joel tify himself as a member of the Society. In further

S88 Committee on the Agenda for Business Meetings The Society has a Committee on the Agenda for Business Meetings. The purpose is to make Business Meetings orderly and effective. The committee does not have legal or administrative power. It is intended that the committee consider what may be called "quasi-political" motions. The com· mittee has several possible courses of action on a proposed motion, including but not restricted to (a) doing nothing; (b) conferring with supporters and opponents to arrive at a mutually accepted amended version to be circulated in advance of the meeting; (c) recommending and planning a format for debate to suggest to a Business Meeting; (d) recommending referral to a committee; (e) recommending debate followed by referral to a committee. There is no mechanism that requires automatic submission of a motion to the committee. However, if a motion has not been submitted through the committee, it may be thought reasonable by a Busi­ ness Meeting to refer it rather than to act on it without benefit of the advice of the committee. The committee consists of Everett Pitcher (chairman), Marian B. Pour-EI, David A. Sanchez, Barnet M. Weinstock, and Guido L. Weiss. In order that a motion for the Business Meeting of january 8, 1981, receive the service to be offered by the committee in the most effective manner, it should have been in the hands of the secretary by December 5, 1980. Everett Pitcher, Secretary explanation, it is noted that each person who is to january 9. The panel discussion will be immediately vote at a meeting is thereby identifying himself as followed by the MAG Business Meeting. and claiming to be a member of the American Math­ ematical Society. For additional information on the OTHER EVENTS OF INTEREST Business Meeting, refer to the box titled Committee on the Agenda for Business Meetings. Employment Register. The Employment Regis· ter provides opportunities for mathematical scientists ACTIVITIES OF OTHER ORGANIZATIONS seeking professional employment to meet employers who have positions to be filled. Resumes prepared The Mathematical Association of America (MAA) by both employers and applicants are posted on bul­ will hold its annual meeting on january 9-11, Fri­ letin boards where they may be examined. Employ­ day-Sunday. Sessions on Friday and Saturday, jan­ ers and applicants submit lists indicating their pre­ uary 9-10, will be held jointly with the National ferences for those they wish to interview. A com­ Council of Teachers of Mathematics. The business puter program assigns the appointments, matching meeting of the MAA will take place at 10:00 a.m. the requests to the extent possible. Interviews are on Sunday, january 11. scheduled at fifteen-minute intervals. The MAA is also planning a Minicourse; details The annual Employment Register at the San will be available at a later date. Francisco meeting will be held in the Imperial Ball­ For a more detailed listing of the activities of room of the San Francisco Hilton Hotel on Thurs­ the MAA, see the Timetable. day, Friday, and Saturday, january 8, 9, and 10. A The Association for Symbolic Logic (ASL) will short (optional) orientation session will be conducted hold its 1981 annual meeting on Friday and Saturday, by the AMS-MAA-SIAM Committee on Employment january 9-10. Opportunities at 9:00a.m. on Thursday, january 8. The Association for Women in Mathematics (AWM) The purpose of this session is to familiarize partici­ will sponsor a panel discussion at 11 :00 a.m. on pants with the operation of the Register and with Friday, january 9. The panel will be immediately registration procedures. Registration for the Employ­ followed by the AWM Business Meeting. The second ment Register will begin at 9:30a.m. on Thursday, annual AWM Emmy Noether Lecture will be given and interviews will begin at 9:30a.m. on Friday. No by Olga Taussky-Todd at 9:00a.m. on Friday. interviews will be scheduled for Thursday. Interview request forms must be turned in to the code clerk The Conference Board of the Mathematical before 4:00 p.m. on Thursday and Friday for inter­ Sciences (CBMS) will sponsor a day-long symposium views to be scheduled on Friday and Saturday, re­ on "Energy research and the mathematical sciences" spectively. at 9:00a.m. on Friday, january 9. The CBMS Coun­ Provisions have been made for scheduling inter­ cil will meet on Saturday, january 10, from 9:00 views in half-day modules. This allows for four half­ a.m. to 4:00 p.m. days of interviews: Friday a.m. and p.m., and Satur­ The Mathematicians Action Group (MAG) will day a.m. and p.m. (There will be no interviews sponsor a panel discussion at 7:00p.m. on Friday, scheduled for Thursday.)

589 On Saturday afternoon, an "employers' choice" the same days and hours as the Joint Mathematics session has been scheduled. For this session inter­ Meetings registration desk. views will be scheduled with applicants requested by employers. Applicants do not submit interview re­ National Science Foundation (NSF). NSF staff quest forms for this session. Requests for interviews members will be available in the exhibit area to pro­ must be submitted by the employers on Friday prior vide counsel and information on NSF programs of in­ terest to mathematicians from 9:00 a.m. to 5:00 p.m., to the deadline of 4:00 p.m. in order to receive a schedule for Saturday afternoon. Thursday through Saturday, January 8-10. William G. Rosen, head of the Mathematical Sci­ Interview schedules will be distributed to both ences Section of NSF, will give a talk on applicants and employers on Friday and Saturday How the between 8:45 a.m. and 9:00 a.m. Mathematical Sciences Section at the National Sci­ ence Foundation Works at 9:30a.m. on Saturday, Applicants should be aware of the fact that inter­ views arranged by the Employment Register are only January 10. an initial contact with employers, and hiring decisions Second-hand Book and Journal Exchange. It has are not always made immediately after the interviews. been proposed that the AMS determine whether there All participants in the Employment Register are is an interest in a Second-Hand Book Exchange at the required to register for the Joint Mathematics Meet­ annual and summer meetings. The exchange was ings. For applicants there is no additional fee for tested on a small scale at the Ann Arbor meeting this participation in the Employment Register. There are past August, and met with moderate success. no provisions made for posting the resumes of appli­ At the Joint Books and Journals display in the cants who do not attend the Employment Register. Hilton Plaza of the Hilton, notebooks will be avail­ For employers, additional fees for participating in able with lists of books on mathematics for sale or the Employment Register are $10 if paid at the time being sought. There will be separate notebooks of of preregistration, or $15 if paid at the meeting. books for sale and books wanted with names and Employers who do not plan to attend the Employ­ addresses of the owners (or seekers). The details of ment Register but wish to display literature may do the transactions themselves would have to be ar­ so at no charge. This material must, however, be re­ ranged by the participants and the AMS will not ac­ ceived in the Providence Office (MSER, P. 0. Box cept responsibility for settling disputes if arrange­ 6248, Providence, Rl 02940) no later than Nov­ ments go awry. ember 7. Professor Keith Dennis has volunteered to keep Lists of preregistered employers and applicants the lists for a period of about two months after the will be distributed in San Francisco free of charge to meeting, and to send copies to anyone interested for those who preregistered. Other participants may the cost of copying and mailing. His address is obtain copies of the printed lists at the meeting for Department of Mathematics, White Hall, Cornell Uni­ $1 each. versity, Ithaca, New York 14853. The Employment Register is sponsored by the It is necessary to charge a small fee to cover the American Mathematical Society, the Mathematical cost of preparing the notebooks. Each person parti­ Association of America, and the Society for Indus­ cipating is asked to pay $2 for the first page and $1 trial and Applied Mathematics. for each additional page (one side is one page). Books The Society and Association also sponsor the bi­ for sale must be listed on separate pages from books monthly publication, Employment Information in wanted (as many of either per page as one wishes), the Mathematical Sciences, for which subscription and the lists made up on 8.5 inch by 11 inch pages. order forms may be found in the August 1980 is­ Please include the information below: sue of the Notices. Books Offered: Name, address, telephone, will or will not be at the meeting. Author, title, publisher, Exhibits. The book and educational media ex­ year of publication, condition of book {for example, hibits will be located in the Hilton Plaza of the San slightly used, annotated lightly or heavily, like new). Francisco Hilton from Wednesday, January 7, through Price or books wanted in trade. Saturday, January 10. The exhibits will be open Books Wanted: Name, address, telephone, will or from 1:00 p.m. to 5:00 p.m. on Wednesday; from will not be at the meeting. Author, title, publisher, 9:00a.m. to 5:00 p.m. on Thursday and Friday; and edition, price one is willing to pay. from 9:00 a.m. to noon on Saturday. All partici­ Those who use this service at the meeting will be pants are encouraged to visit the exhibits during the asked to make suggestions concerning its usefulness meeting. or improvement. If the interest is sufficient, the ser­ vice will be continued at the next annual meeting, Book Sales. Books published by the AMS and and possibly at that time expanded to include lists MAA will be sold for cash prices somewhat below from libraries seeking replacements for lost out-of­ the usual prices when these same books are sold by print books and lists from second-hand-book dealers. mail. These discounts will be available only to re­ Please send your lists to: Promotion Department, gistered participants wearing the official meeting AMS, P. 0. Box 6248, Providence, R. I. 02940. Make badge. The book sales will be located in the Tower checks payable to the AMS. If you have questions, Lobby of the San Francisco Hilton, and will be open call Phoebe Murdock, 401-272-9500, extension 237.

590 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 MATIIEMATICAL SOCIETY SHORT COURSE SERIES

MONDAY, January 5 CRYPTOLOGY IN REVOLUTION: MATIIEMATICS AND MODEL'3

9:00 a.m. - 4:00 p.m. REGISTRATION 2:00 p.m. - 3:15 p.m. A short history of public cryptology George Davida 3:30 p.m. - 4:45 p.m. Asymmetric cryptosystems David P. Dobkin

TUESDAY, January 6

9:00 a.m. - 10:15 a.m. How safe are cryptosystems? Richard J. Lipton 10:30 a.m. - 11:45 a.m. How secure are data bases ? David P. Dobkin 1:30 p.m. - 2:45 p.m. Cryptographic protocol Richard A. DeMilio 3:00 p.m. - 4:15 p.m. Access control structures Mlchael A. Harrison 4:15 p.m. - 5:00 p.m. General discussion: What is the future of public work in cryptography?

JOINT MATHEMATICS MEETINGS

TUESDAY, January 6 American Mathematical Society Mathematical Association of America

4:00 p.m. - 8:00 p.m. REGISTRATION 4:00 p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE 2:00 p.m. - 10:00 p.m. Council Meeting

WEDNESDAY, January 7 AMS MAA

8:00 a.m. - 5:00 p.m. REGISTRATION 8:00 a.m. - 5:00 p.m. AMS BOOK SALE MAA BOOK SALE 10:30 a.m. - 11:30 a.m. INVITED ADDRESS Geometry of limit sets of Kleinian groups Dennis Sullivan morning Special Sessions Sessions for Contributed Papers 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE I Some mathematical problems suggested by questions in physics Mark Kac afternoon Special Sessions Sessions for Contributed Papers 1:00 p.m. - 5:00 p.m. EXHffiiTS 2:15 p.m. - 3:15 p.m. INVITED ADDRESS Stabilization in algebraic K-theory R. Keith Dennis 3:30 p.m. - 4:30 p.m. INVITED ADDRESS Some geometrical aspects of representations of Lie groups Michele Vergne 4:30 p.m. - 6:00 p.m. PANEL DISCUSSION: The Translation of Mat. Sbornik Anatole Beck Ronald G. Douglas Mark Kac Calvin C. Moore (moderator) Richard S. Palais

591 INFORMATION FOR PARTICIPANTS will not be in operation. Other services provided at REGISTRATION the registration desk during the meeting will also no Registration at Meeting. Meeting preregistration longer be available {see section below on Registration Desk and registration fees only partially cover expenses of Services). There will, however, be a small desk holding meetings. All who do not preregister, but set up outside the Continental Ballroom where local attend the meetings in San Francisco, are expected to information will be available and where a staff mem­ register during the hours listed below. The fees for ber will provide limited assistance to participants. No registration at the meetings are: registration or cash transactions will be possible at this desk. JOINT MATHEMATICS MEETINGS REGISTRATION Member of AMS, ASL, MAA, NCTM $42 DESK SERVICES Nonmember 65 AMS/MAA Information. Information on the Student/Unemployed 11 publications and activities of both organizations may be obtained at this section of the registration desk. AMS SHORT COURSE Audio-Visual Assistance. A member of the AMS Student/Unemployed $10 staff will be happy to assist speakers unfamiliar with All Other Participants 30 the overhead projector, or consult with speakers with MAA MINICOURSE special requirements. All Participants $15 Baggage and Coat Check. Participants may leave There will be no extra charge for members of the baggage, parcels, coats, etc., for safekeeping at the families of registered participants, except that all pro­ registration desk during the hours it is open, pro­ fessional mathematicians who wish to attend sessions vided these items are picked up before the desk must register independently, and be prepared to show closes for the day. Articles left after closing time their meeting badge, if so requested. cannot be reclaimed until the following morning. Students are considered to be only those currently Check Cashing. The meeting cashier will cash working toward a degree, who do not receive annual personal or travelers' checks up to $50, upon presen­ compensation totaling more than $7,000 employment, tation of a meeting registration badge, and provided fellowships, and scholarships. there is enough cash on hand. The unemployed status refers to any person cur­ Comments and Complaints. A log for registering rently unemployed, actively seeking employment, and participants' comments or complaints about the who is not a student. It is not intended to include meeting is kept at the Transparencies section of the persons who have voluntarily resigned or retired from registration desk. All participants are encouraged to their latest position. use this method of helping to improve future meet­ Registration Dates and locations. Registration ings. Comments on all phases of the meeting are for the AMS Short Course will begin at 9:00a.m. welcome. If a written reply is desired, participants on Monday, January 5. Registration for the Joint should furnish their name and address. Mathematics Meetings and the MAA Minicourse will Emergencies. Participants with problems of an begin at 4:00 p.m. on Tuesday, January 6. The immediate nature requiring action at the meeting registration desks will be open during the following should see the meeting manager, who will be happy hours: to assist them or put them in touch with someone who can. JOINT MATHEMATICS MEETINGS MAA MINICOURSE lost and Found. See the meeting cashier. Tower Lobby, San Francisco Hilton Mail. All mail and telegrams for persons attend­ ing the meetings should be addressed to the partici­ Tuesday, January 6 4:00 p.m. - 8:00 p.m. pant, c/o Joint Mathematics Meetings, Suite 260, Wednesday, january 7 8:00a.m. - 5:00 p.m. San Francisco Convention & Visitors Bureau, 1390 Thursday, January 8 } Market Street, San Francisco, California 94102. Mail Friday, January 9 8:00 a.m. - 4:00 p.m. and telegrams so addressed may be picked up at the Saturday, January 10 mailbox in the registration area during the hours the ASSISTANCE AND INFORMATION DESK registration desk is open. U. S. mail not picked up will be forwarded after the meeting to the mailing Outside Continental Ballroom, San Francisco Hilton address given on the participant's registration record. Sunday, January 11 8:30a.m.- 12:30 p.m. local Information. This section of the desk will AMS SHORT COURSE be staffed by members of the Local Arrangements Committee and other Outside Continental Parlor 6, San Francisco Hilton volunteers from the San Francisco mathematical community. Monday, January 5 9:00 a.m. - 4:00 p.m. Personal Messages. Participants wishing to ex­ Please note that the Joint Mathematics Meetings change messages during the meetings should use the registration desk WILL NOT BE OPEN on Sunday, mailbox mentioned above. Message pads and pencils January 11, and the the telephone message center are provided.

592 TIMETABLE

WEDNESDAY, January 7 American Mathematical Society Mathematical Association of America

8:30 p.m. - 9:30 p.m. JOSIAH WILLARD GffiBS LECTURE The mathematical approach to the sonic barrier Cathleen S. Morawetz

THURSDAY, January 8 AMS MAA

8:00 a.m. - 4:00 p.m. REGISTRATION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE MAA BOOK SALE morning Special Sessions Sessions for Contributed Papers 9:00 a.m. - 9:30 a.m. EMPLOYMENT REGISTER ORIENTATION SESSION 9:00 a.m. - 4:00 p.m. IMAA - Board of Governors Meeting 9:00 a.m. - 5:00 p.m. EXHffiiTS 9:30 a.m. - 10:30 a.m. INVITED ADDRESS Some problems in the cohomology of algebraic groups James E. Humphreys 9:30 a.m. - 4:00 p.m. EMPLOYMENT REGISTER REGISTRATION 10:45 a.m. - 11:45 a.m. RETIRING PRESIDENTIAL ADDRESS The influence of computing on mathematics Peter D. Lax afternoon Special Sessions Sessions for Contributed Papers 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE II Some mathematical problems suggested by questions In physics Mark Kac 2:15p.m. - 3:15 p.m. INVITED ADDRESS An explicit solution of classical and quantum field theory models and parallel arithmetical problems: A unified approach Gregory v. Chudnovsky 4:00 p.m. - 5:00 p.m. PRIZE SESSION 5:00 p.m. - 6:00 p.m. BUSINESS MEETING 7:00 p.m. - 10:00 p.m. MAA - Film Program 7:30 p.m. - 9:30 p.m. Committee on Employment and Educational Policy- Meeting of Department Heads: Maintaining vitality in graduate programs in the 1980's

FRIDAY, January 9 AMS Other Organizations

8:00 a.m. - 4:00 p.m. REGISTRATION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE MAA BOOK SALE 9:00 a.m. - 10:35 a.m. IAssociation for Symbolic Logic Contributed Paper Session 9:00 a.m. - 5:00 p.m. EXHffiiTS 9:00 a.m. - 10:00 a.m. Association for Women in Mathematics Emmy Noether Lecture Olga Taussky-Todd 9:00 a.m. - 11:50 a.m. MAA and National Council of Teachers of Mathematics - JOINT SESSIONS 9:00a.m. INVITED ADDRESS The differing ideals of Dedekind and Kronecker Harold Edwards 10:00 a.m. INVITED ADDRESS Agenda for action: Progress and problems Max A. Sobel, President NCTM

593 Telephone Messages. A telephone message center Commodore Hotel (2) will be located in the same area to receive incoming 825 Sutter Street at jones 94109 calls for participants. The center will be open from Telephone: 415-885-2464 January 6 through January 10, during the same hours Singles $36, $40 Twins $44, $48 as the Joint Mathematics Meetings registration desk. Doubles $40, $44 Triples $48, $52, $56 Messages will be taken and the name of any indivi­ Quads $48, $52, $60 dual for whom a message has been received will be El Cortez Hotel (3) posted until the message has been picked up at the 550 Geary Street 94102 message center. The telephone number of the mes­ Telephone: 415-775-5000 sage center will appear in the January issue of the Notices. Singles $34 Triples $48,$50 Transparencies. Speakers wishing to prepare Doubles $40 Quads $55 transparencies in advance of their talk will find the Twins $42 necessary materials and copying machines at this Handlery Motor Inn (4) section of the registration desk. A member of the 260 O'Farrell Street 94102 staff will be happy to assist and advise speakers on Telephone: 415-986-2526 the best procedures and methods for preparation of Singles $50, $52, $54, $56, $58, $60, $62, $64, $65 their material. Doubles $60, $62, $64, $66, $68, $70, $72, $74, $75 Visual Index. An alphabetical list of registered Twins $60, $62, $64, $66, $68, $70, $72, $74, $75 participants, including local address, arrival and de­ Twin Doubles $60, $62, $64, $66, $68, $70, $72, $74, $75 parture dates, is maintained in the registration area. Triples $70, $72, $74, $76, $78, $80, $82, $84, $85 Quads $80,$82,$84,$86,$88,$90,$92,$94,$95 HOTEl ACCOMODATIONS Suites $100- $200 The rates listed below are subject to a 9. 75 per­ Holiday Inn - Union Square (6) cent city hotel tax. All hotels listed are in San 480 Sutter Street at Powell 94108 Francisco, the number after the name of the hotel is Telephone: 415-398-8900 the number it carries on the map. Participants should be aware that triple and quad Singles $55 Triples $75 rooms in the Hilton contain two double beds only. Doubles $70 Quads $80 In all cases "single" refers to one person in one bed; Twin Doubles $70 Suites $85 - $450 "double" refers to two persons in one bed; "twin" Hotel Verba Buena (11) refers to two persons in two single beds; and "twin 55 Fifth Street 94103 double" refers to two persons in two double beds. Telephone: 415·543-3130 A rollaway cot for an extra person can be added to NB: Special rate and accommodation for students only double or twin rooms only. Single $16; Twin $22 (Bathroom aown the hall) The San Francisco Hilton and Tower (5) Manx Hotel (7) Headquarters Hotel 225 Powell Street at Union Square 94102 333 O'Farrell Street 94102 Telephone: 415-421-7070 Telephone: 415-771-1400 Singles $38,$39,$40,$41,$42,$43,$44 Singles- main building $48, $58, $68 Doubles $42,$43,$44,$45,$46 Singles- tower $68, $78, $88, $98 Twins $44,$45,$46,$47,$48 Doubles- main building $63, $73, $83 Triples $47' $48, $49, $50, $51' $52, $53 Doubles- tower $83,$93,$103,$113 Quads $54,$55,$56,$57,$58 Twins- main building $63, $73, $83 Twins- tower $83,$93,$103,$113 Sir Francis Drake Hotel (8) Double doubles- main building $63, $73, $83 450 Powell Street at Sutter 94101 Double doubles- tower $83,$93,$103,$115 Telephone: 415-392-7755 Triples- main building $78, $88, $98 Singles $49, $69, $79 Triples- tower $98,$108,$118,$128 Doubles $59, $79, $89 Quads- main building $93, $103, $113 Twins $59, $79, $89 Quads- tower $113,$123,$133,$143 Triples $71,$91,$101 Suites- main building $176- $296 Suites $175-$215 Suites- tower $190- $323 Stewart Hotel (9) Bellevue Hotel ( 1 ) 351 Geary Street 94102 505 Geary Street and Taylor 94102 Telephone: 415-781-7800 Telephone: 415-474-3600 Singles $37,$39,$41,$43,$45,$47,$49,$51,$53 Singles $50, $55, $60, $65 Doubles $43,$45,$47,$49,$51,$53,$55,$57,$59,$61 Doubles $60, $65, $70, $75 Twins $45,$47,$49,$51,$53,$55,$57,$59,$61,$63 Twins $60, $65, $70, $75 Triples $59,$61,$63, $65,$67,$69,$71 Triples $70, $75, $80, $85 Quads $67,$69,$71,$73,$75,$77, $79 Suites $90- $150 Suites $60-$100

594 TIMETABLE

FRIDAY, January 9 American Mathematical Society other Organizations

11:00 a.m. INVITED ADDRESS Contact measures in integral geometry William J. Flrey 9:00 a.m. - 5:00 p.m. Conference Board of the Mathematical Sciences - Symposium on Energy Research and the Mathematical Sciences 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 10:45 a.m. - 11:45 a.m. ASL - Invited Lecture The degrees of unsolvability: Global results Richard A. Shore 11:00 a.m. - 12:30 p.m. A WM - Panel Discussion and Business Meeting noon - 12:50 p.m. MAA - Invited Address Applications from UMAP Ross Finney 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE Ill Some mathematical problems suggested by questions in physics Mark Kac afternoon Special Sessions Sessions for Contributed Papers 2:00 p.m. - 4:00 p.m. Rocky Mountain Mathematics Consortium Board of Directors Meeting 2:15 p.m. - 3:15 p.m. INVITED ADDRESS ASL - Invited Lecture Quaternion functions and the Borel sets in products of Polish spaces solution of gauge field equations A. Louveau Feza Giirsey 3:30 p.m. - 4:30p.m. INVITED ADDRESS How do eigenfunctions decay-some recent results Shmuel Agmon 3:30p.m. - 5:30 p.m. ASL - Contributed Paper Sessions 6:30p.m. - 9:00p.m. MAA - Minicourse Topics in data analysis 7:00 p.m. - 9:30 p.m. Mathematicians Action Group Panel Discussion and Business Meeting 8:00p.m. ASL - Council Meeting 9:00 p.m. - 12:30 a.m. COCKTAIL PARTY/DANCE

SATURDAY, January 10 AMS other Organizations

8:00a.m. - 4:00 p.m. REGISTRATION 8:00a.m. - 4:00 p.m. AMS BOOK SALE I MAA BOOK SALE 9:00a.m. - noon EXHIBITS 9:00a.m. - 4:00 p.m. CBMS - Council Meeting 9:15 a.m. - 10:45 a.m. MAA and NCTM - JOINT SESSION Panel Discussion: Gifted students Local programs for gifted high school students Jean J. Pederson (moderator) Student science training projects Edmund J. Deaton Problem competitions Lyle Fisher Project MEGSSS (Mathematics education for gifted secondary school students) Joel Schneider General Discussion 9:30 a.m. - 10:30 a.m. How the Mathematical Sciences Section at the National Science Foundation Works William G. Rosen 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 9:35 a, m. - 10:35 a.m. ASL - Invited Lecture ISome applications of Radin forcing H. Woodin

595 I I I SACRAMENTO ~OB HI~L !~-+--+--+---+ CALIFORNIA ..., < (! !;: : !;; .. -1 iC (! ~ I~ C'l II': iC "' NE !:f-~f-~~~~-~ ~ -~~~-~r--g!C:-!: -5-~ -~ PI ~ Z - !!I !!I "' 0 Z r-1 ~ IZ !j z C'l C ----~::::~I"' z ~ - ,____,., f- _r-r-s ·~- --< -e r-~ BUSH z ~ o 19 Z z F:; SUTTER ~ e ~ ~ fm"'~ POST ~ ~~ct) GEARY o go. A~~~ ~~~-+---+---r--~--;---;---;---+-~~~r---r-~~ ~ O'FARRELL e l...k'~~ '(>~ ~ ------+---+---r--~--;---;---;---+---+---r-~~+ ~~ ~ /• ./ OG, ----~--~-+--+-~--+--+---+-~~~-~~~ ~~ EDDY ~~~ ~ TU_R_K-----+--~--+---~~~~--+--r~--~~~~ ~

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FULTON / GR::-=:OV-:=-E-+---+---+--t----7r/ /~ HA~Y7.E=s~---i---;----~~--/~~ ~ ~..,;"""'\ ~ SAN FRANCISCO FELL / ~ ...... 1. Bellevue 4. Handlery Motor Inn 7. Manx 10. Sutter 2. Commodore 5. Hilton (Headquarters) 8. Sir Francis Drake 11. Verba 3. El Cortez 6. Holiday Inn/Union Sq. 9. Stewart Buena

seniors Sutter Hotel (10) (Adults $1.50, youths age 17 or under $1, and over 50 cents, children age 5 or under 191 Sutter Street 94104 age 65 Telephone: 415·781·3060 free.) To Academy of Sciences and Morrison Planetarium Single $42 Twin $48 in Golden Gate Park: Use same directions as above. Double $48 Triple $56 To California Palace of Legion of Honor (French paintings, Rodin sculptures): Take #38 bus on Geary MISCELLANEOUS INFORMATION heading west. Get off at 33rd Avenue. Walk one block north to Clement; long path up to Legion of Child Care. Members who require childcare service Honor. Admission same as deYoung Museum. can call the Childcare Switchboard at 415-282-7858. To Bay Area Rapid Transit (BART) to Berkeley, These sitters will sit in hotel rooms with children. Oakland, etc.: One block east to Powell; continue Those requiring a daycare type of facility for drop-ins south to Market Street, down Hallidie Plaza to BART. can call the Toy Center at 415-285-7223 and ask for To Fisherman's Wharf and Cannery: One block "Ish." east to Powell, south to Market for cable car (queue Entertainment. The Local Arrangements Commit­ in front of Woolworth's). tee is planning a cocktail party and dance for Friday To Ghirardelli Square: One block north to Geary. evening, january 9. Further details will be available Take #38 bus heading west. Transfer at Geary and at a later date. Polk on #19 heading north. Get off at Polk and Local Information. Many of San Francisco's at­ North Point Street in front of Ghirardelli Square. tractions are easy to reach from the Hilton; directions To Pier 39: Follow directions for Ghirardelli are given below. From these focal points, one might Square, but continue to end of line. be able to strike out to other points along the route To Chinatown: One block east to Powell; south by referring to local maps. to Market Street for cable car; transfer on Clay To Golden Gate Park, deYoung Museum, or Street downhill. Asian Art Museum: Go one block north to Geary. Parking. Free indoor parking is provided by the Take #38 bus on Geary heading west. (Ask for Hilton for guests occupying rooms on the fifth transfer on boarding.) Transfer to #10 bus on Tenth through eleventh floors. Participants should check Avenue heading south (board bus on northwest cor­ the appropriate box on the housing form if free ner); bus stops in front of deYoung Museum. parking is desired. Participants not staying in the

596 TIMETABLE

SATURDAY, January 10 American Mathematical Society Other Organizations

10:45 a.m. - 11:45 a.m. ASL - invited Lecture Proflnite model theory Angus Mcintyre 11:00 a.m. - 11:50 a.m. MAA and NCTM - JOINT SESSION INVITED ADDRESS The new Soviet challenge in mathe- mattes and science education and manpower training Izaak Wlrszup 1:00 p.m. - 2:00p.m. COLLOQUIUM LECTURE IV Some mathematical problems suggested by questions In physics Mark Kac afternoon Special Sessions Sessions for Contributed Papers 2:15 p.m. - 3:15 p.m. INVITED ADDRESS ASL - Invited Lecture Report on von. Neumann algebras Spaces satisfying the Balre category theorem Masamichi Takesaki Kenneth Kunen 3:30p.m. - 5:30p.m. ASL - Contributed Paper Sessions 7:00 p.m. - 9:30p.m. MAA - Minicourse Topics in data analysis 7:00p.m. - 10:00 p.m. MAA - Film Program

SUNDAY, January 11 MAA

8:30a.m. - 12:30 p.m. ASSISTANCE AND INFORMATION DESK 9:00a.m. - 9:50a.m. MAA - INVITED ADDRESS Curvature Robert Osserman 10:00 a.m. - 10:50 a.m. MAA- BUSINESS MEETING 11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Patterns of problem solving Moshe F. Rubinstein afternoon MAA - SESSION What Is complexity?

Hilton will find several public parking garages in the fare into the city is considerably higher - approxi· area. The closest is the one beneath the Hilton, mately $20. All major car rental agencies have where the present rate is $6.25 per day. desks at the airport. The main railroad depot in Oakland is served by Travel. In January, San Francisco is on Pacific Amtrak. Shuttle busses transport passengers between Standard Time. There is regular airline service to the depot in Oakland and the Trans-Bay Terminal at San Francisco International Airport by several major First and Mission Streets in San Francisco. airline carriers. San Francisco can be reached by auto on 1-80 Participants should be aware that there are from the east; on 1-5, US-1 01, and US-99 from many special air fares available to San Francisco the north and south. which are less expensive than the ordinary econ· omy class fares. Most require that one make res· Weather. During the month of January, San ervations and pay for the ticket at least 30 days Francisco's average maximum temperature is 55F. in advance, but these fares apply to a limited and the minimum is 45F. There is a liklihood of number of seats on each aircraft only. These encountering some rain, so that rain coats, umbrellas, special fare seats go on a first-come, first-served and rubbers or overshoes may prove useful. For basis, and so participants should make their clothing, medium weight wool suits or dresses are reservations and purchase their tickets as early recommended. as possible. Kenneth A. Ross Associate Secretary San Francisco International Airport is approxi· mately 15 miles from the city center, and the trip Mathematics Department takes between 30 and 45 minutes. The airport bus Room 121 - 1984 Mathematics Road presently costs $2.55, and stops at the downtown University of British Columbia terminal just across the street from the Hilton. Taxi Vancouver, B. C., CANADA V6T 1Y4

S97 1981 SYMPOSIUM Some Mathematical Questions in Biology Toronto, Ontario, Canada, january 8, 7987

The fifteenth annual symposium on Some The program is being arranged by an organizing Mathematical Questions in Biology will be held on committee, whose members are Stephen Childress January 8, 1981, in the Quebec Room of the Royal {chairman), Jack D. Cowan, F. C. Hoppensteadt, York Hotel, Toronto, Ontario, Canada, in conjunction Joseph B. Keller, Donald Ludwig, Robert M. May, with the annual meeting of the American Association George F. Oster, Charles S. Peskin, and Sol I. for the Advancement of Science. It will be cospon· Rubinow. sored by the American Mathematical Society, the There will be two half-day sessions, each includ· Society for Industrial and Applied Mathematics, and ing three one-hour speakers. The focus of the sym­ Section A of the American Association for the Ad· posium will be on several areas of biomechanics as vancement of Science. Details regarding registration well as mathematical models arising in develop­ and local arrangements were announced in the mental biology. 12 September 1980 issue of Science. PROGRAM Chairman: STEPHEN CHILDRESS, Courant Institute of Mathematical Sciences, New York University 9:00a.m. Some mathematical questions in biology. Presiding: JEROME K. PERCUS, Courant Institute of Mathematical Sciences, New York The generation of spatial sequences of structures during development of higher organisms. HANS MEINHARDT, Max-Pianck-lnstitut fUr Virusforschung, Durchwahl, Germany Control of ovulation number in a model of ovarian follicular maturation. H. MICHAEL LACKER, Courant Institute of Mathematical Sciences and New York University Medical School, New York Modeling of cell and tissue movements in the developing embryo. STEPHEN CHILDRESS, Courant Institute of Mathematical Sciences, New York

1:30 p.m. Some mathematical questions in biology. Presiding: JEROME K. PERCUS Feeding currents and particle capture by copepods. MIMI KOEHL, University of California, Berkeley Particle motion through pores and near boundaries in biological flows. SHELDON WEINBAUM, The City College of the City University of New York Human locomotion utilizing a computer analysis of various mode/linkages. Sl MON MOCHON, Massachusetts Institute of Technology

JANUARY 1981 SAN FRANCISCO MEETINGS WHALE WATCH To: William G. Chinn (See "Entertainment," page SSS for further details.) 539-29th Avenue San Francisco, California 94121 YES, I am interested in the Whale Watch! Number of penons in my party: ____ Day of week preferred (please give fint, second, and third choices): Monday Tuesday Wednesday Thunday Friday Saturday 1/5 11s 1n 11s 1/9 1/10

Name: ------

598 Notre Dame, March 20-21, 1981, University of Notre Dame First Announcement of the 784th Meeting

The seven hundred eighty-fourth meeting of the minute papers. The topics of these special sessions American Mathematical Society will be held at the and the names of their organizers are: University of Notre Dame, Notre Dame, Indiana on Analytic number theory, KRISHNASWAMI March 20-21, 1981. Notre Dame is located less than ALLADI, University of Michigan, Ann Arbor. 100 miles east of Chicago on the Indiana Toll Road. Algebraic topology, WILLIAM G. DWYER, Uni­ All sessions of the meeting will be held in the Notre versity of Notre Dame. Dame Center for Continuing Education. Harmonic analysis on semi-simple Lie groups, PAUL j. SALLY, JR., University of Chicago. Invited Addresses. By invitation of the 1980 Several complex voriables, WILHELM F. STOLL, Committee to Select Hour Speakers for Western Sec­ University of Notre Dame. tional Meetings, there will be four invited one-hour Most of the papers to be presented at these spe­ addresses. The speakers, times, and titles of their cial sessions will be by invitation. However, anyone talks are as follows: submitting an abstract for the meeting who feels that DANIEL M. BURNS, JR., University of Michigan, his or her paper would be particularly appropriate for Ann Arbor, 11:00 a.m. Friday; Interplay of geometry one of these special sessions should indicate this and analysis in the study of the complex Mange­ clearly on the abstract and submit it by December 29, Ampere equation. 1980, three weeks before the normal deadline for HAROLD G. DIAMOND, University of Illinois at contributed papers. Urbana-Champaign, 1 :45 p.m. Friday; title to be an­ nounced. Contributed Papers. There will also be sessions for PHILIP C. KUTZKO, University of Iowa, 11:00 contributed ten-minute papers as needed. Abstracts a.m. Saturday; Super-cuspidal representations as in­ should be sent to the American Mathematical Society, duced representations; some history and applications. P.O. Box 6248, Providence, Rhode Island 02940, so as ROBERT j. ZIMMER, University of Chicago, to arrive by the abstract deadline of january 19, 1981. 1 :45 p.m. Saturday; Ergodic theory and geometry of Detailed information concerning travel, accommo­ leaves of foliations. dations, and registration will be published in the jan­ All four hour talks will be held in the Auditorium uary issue of the Notices. Housing will be available of the Notre Dame Center for Continuing Education. at the Morris Inn, which is located across the street from the Center for Continuing Education. Special Sessions. By invitation of the same com­ Paul T. Bateman mittee, there will be four sessions of selected twenty- Ann Arbor, Michigan Associate Secretary

Organizers and Topics of Special Sessions

Names of organizers of special sessions to be Frederick R. Cohen held at meetings of the Society are listed below, Homotopy theory along with the topic of the session. Most of the M. Deza and Ronald L. Graham papers presented at special sessions are by invitation. L 1 and related metric spaces Other papers will be considered at the request of the Donald W. Dubois author provided that this is indicated clearly on the Ordered fields and real algebraic geometry abstract form and it is submitted by the deadlines Richard S. Elman given below. These deadlines are usually three weeks Quadratic form theory earlier than the normal abstract deadlines for meet­ Garret J, Etgen and Kurt Kreith ings. Papers not selected for special sessions will Qualitative theory of differential equations automatically be considered for regular sessions unless Robert P. Gilbert the author gives specific instructions to the contrary. Elliptic systems in the plane january 1981 Meeting in San Francisco Morris W. Hirsch Geometric structures on manifolds Deadline: Expired joel L. Lebowitz Michael Aschbacher, David Goldschmidt and Daniel Mathematical physics Gorenstein S. j. Lomonaco, Jr. Classification of finite simple groups Low dimensional topology Gary Chartrand and Arthur T. White Melvyn B. Nathanson and Don Redmond Graph theory Number theory

S99 Roy Ryden and Hank Tropp History of contemporary mathematics Invited Speakers Arthur Schlissel at AMS Meetings History of mathematics Glenn E. Schober The individuals listed below have accepted in­ Topics in complex variables vitations to address the Society at the times and Claude A. Schochet places indicated. For some meetings, the list of Operator algebras and K-theory speakers is incomplete. Alexander P. Stone Differential geometry and global analysis San Francisco, California, January 1981 Shmuel Agmon Peter D. Lax (Retiring March 1981 Meeting at Notre Dame, Indiana Gregory V. Chudnovsky Presidential Address) Deadline: December 29 Roger Keith Dennis Cathleen S. Morawetz Krishnaswami Alladi Feza Giirsey (Gibbs Lecture) Analytic number theory James E. Humphreys Dennis Sullivan William G. Dwyer Mark Kac Masamichi Takesaki Algebraic topology (Colloquium Lectures) Michele Vergne Paul J. Sally, Jr. Harmonic analysis on semisimple Lie groups Notre Dame, Indiana, March 1981 Wilhelm F. Stoll Daniel M. Burns, Jr. Philip C. Kutzko Several complex variables Harold G. Diamond Robert J. Zimmer

1981 SUMMER SEMINAR IN APPLIED MATHEMATICS Fluid-Dynamical Problems in Astrophysics and Geophysics june 29-ju/y 17, 7987

The thirteenth AMS-SIAM Summer Seminar in physical phenomena taking place in the contexts of Applied Mathematics will be held June 29-july 11, stars, planets, oceans, and atmospheres, and with 1981. The location of the seminar has not been mathematical techniques and analysis appropriate to determined yet; it will be announced in the next these problems. The format of the seminar purposely issue of the Notices. The seminar will be sponsored mixes together scientists applying certain areas of jointly by the American Mathematical Society and mathematics with mathematicians expert in those the Society for Industrial and Applied Mathematics, areas. and it is anticipated that it will be supported by a Individuals may apply for admission to the grant from a federal agency. The topic Fluid­ seminar. Application blanks for admission and/or Dynamical Problems in Astrophysics and Geophysics financial assistance can be obtained from the Meeting was selected by the AMS-SIAM Committee on Arrangements Department, American Mathematical Applied Mathematics whose members are Roger Society, P. 0. Box 6248, Providence, Rhode Island Brockett, john Dennis, Frank C. Hoppensteadt 02940. The application deadline is March 15, 1981. (chairman), Norman Lebovitz, and Sanjoy K. Mitter. An applicant will be asked to indicate his or her The members of the organizing committee are Victor scientific background and interest, and should have Barcilon, University of Chicago; Richard DiPrima, completed at least one year of graduate school. A Rensselaer Polytechnic Institute; Peter Goldreich, graduate student's application must be accompanied California Institute of Technology; Norman Lebovitz by a letter from his or her faculty advisor concerning (chairman), University of Chicago; joseph Pedlosky, his or her ability and promise. Those who wish to Woods Hole Oceanographic Institute; and Alar apply for a grant-in-aid should so indicate; however, Toomre, Massachusetts Institute of Technology. funds available to the seminar are limited and so The seminar will focus on fluid-dynamical prob­ individuals who can obtain support from other lems that are relevant to a scientific understanding of sources should do so.

600 QUERIES Edited by Hans Samelson QUESTIONS WELCOMED from AMS members regarding mathematiC

227. Christopher C. White {Department of Mathe­ D;;k = 1 if i = j = k and D;;k = 0 otherwise. Then matics, Castleton State College, Castleton, VT Ill = I, but it is not true that fBI = B for all arrays 05735). Is anything known on the question raised B. {2) Let j = (Eijk), where Eiik = 1/.../S if i = k twenty years ago in Hoffman and Singer's 1960 and Eiik = 0 otherwise. Then jBj = B, but A// =FA Acta paper Maximal algebras of continuous functions and jjC =F C. Clearly this multiplication is not a {Acta Mathematica 103 {1960), 217-241, especially satisfactory analog to the multiplication of matrices page 222): Let X be a compact set in the complex corresponding to composition of linear mappings. Do plane with these properties: {i) X has no interior, there exist useful trinary multiplications of 3-dimen­ {ii) X does not separate the plane, {iii) X is not con· sional arrays analogous to the standard binary multi­ nected, {iv) X has positive Lebesgue measure at each plication of matrices? of its points. Let Ax be the algebra of all continu­ 229. Nicholas Tzanakis {8, Solomou Str., lraklion, ous functions on the Riemann sphere S which are Crete). I have proved by elementary means the fol­ analytic on S - X. Is Ax a maximal subalgebra of lowing: THEOREM. Let us say that a nonempty set C{X)? A is a "ck·set" if it is a subset of Rk and both A 228. Doug Widin and Arnold Feldman {Department and Rk -A are convex sets. Then (i) A is a c 1-set of Mathematics and Astronomy, Franklin and Mar­ iff A is either a line or an open or closed half-line; shall College, Lancaster, PA 17604). We are interested {ii) A is a c2-set iff A is either a plane, or A =PUC, in references to properties and interpretations of tri­ where P is an open half-plane and C is a subset of nary multiplications of 3-dimensional arrays. For ex­ the boundary of P, which is either the empty set or ample, let {X;prl represent an s by s by s array whose a c1-set; {iii) A is a c3-set iff A is either the whole i, j, k entry is X;;k· fhen if A = (A;;k), B = (B;;k), three-dimensional space, or A = P U C, where P is and C = {C;;k)• define the product ABC = an open half-space and C is a subset of the boundary (1:1.,.,/,m,n"'sAilmBm;nCnlk). This multiplication has of P, which is either the empty set or a c2-set. Is this some interesting properties: {1) Let I= (D;;k) where theorem found anywhere in the literature?

SELECTED TABLES IN MATHEMATICAL STATISTICS

THE DISTRIBUTION OF THE SIZE OF THE clusters of defectives, communications engineers who MAXIMUM CLUSTER OF POINTS ON A LINE design system capacity to accommodate clusters, and experts in epidemiology, traffic control, ecolo~y and by Norman D. Neff and joseph I. Naus many other fields who study the clustering of events Researchers in many fields deal with the cluster­ in time and space. just as experts in these and other ing of events in time and space. The probabilities of fields use the binomial, Poisson, negative binomial large clusters under various models are tools of the and other distributions, the present tables are an im· natural, physical and social sciences. The present portant addition to statistical, technical and scientific book provides probabilities for the size of the largest libraries. cluster of random points on the line. Tables of exact values and functional forms are given. A wide Volume 6, vii + 207 pages (hard cover) variety of applications is given. List price $12.80, institutional member $9.60, individual member $6.40 Those who will benefit from this volume are re­ ISBN Q-8218-1906-2; LC 74·6283 searchers who seck to investigate unusual clustering. Publication date: June 1980 These include quality control experts investigating To order, please specify TABLES/6 N Prepayment is required for all American Mathematical Society publications. Send for the book{s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

601 24th ANNUAL AMS SURVEY 1980 First Report

The following pages contain a first report on the ber; these are concerned with data on fall enroll­ 1980 AMS Survey. Included in this report are data ments, class size, teaching loads and faculty mobility. on faculty members in four-year colleges and univer­ These data will be reported in the February or April sities, a report on the 1980 survey of new doctorates, 1981 issue of the Notices. a report on the 1980 nonacademic salary survey, and This Survey is the twenty-fourth in an annual a list of names and thesis titles of members of the series begun in 1957 by the Society's Committee on 1979-1980 Ph. D. class. the Economic Status of Teachers. The present Survey The Annual AMS Survey is conducted in two is under the direction of the Committee on Employ­ parts. Questionnaires were distributed in May to all ment and Educational Policy (CEEP), whose mem­ departments in the mathematical sciences in colleges bers are Lida K. Barrett (chairman), Arthur P. and universities in the United States and Canada, and, Mattuck, Donald C. Rung, Hans Schneider, Robert J. later to the recipients of doctoral degrees granted by Thompson and William P. Ziemer. The question­ these departments between July 1979 and June naires were devised by CEEP's Data Subcommittee 1980, inclusive. This report is based on the informa­ consisting of Lida K. Barrett, Lincoln K. Durst, tion collected from these questionnaires. A second Wendell H. Fleming, Arthur P. Mattuck, and Donald round of questionnaires was distributed in Septem- C. Rung (chairman).

Faculty Salaries, Tenure, Women

The questionnaires sent to departments in the into groups according to the highest degree offered mathematical sciences asked for information on in the mathematical sciences. The doctorate-granting salaries and tenure. Departments submitted a mini­ departments are in six groups as follows: mum, median, and maximum salary figure for each Group I and Group II include the leading de­ of four academic ranks, for staff members both with partments of mathematics in the U.S. according to and without doctorates. Annual salaries of full-time the findings of the American Council on Education faculty members for the academic year of 9 or 10 in 1969*, in which departments were ranked accord­ months were sought. The 1980 questionnaire re­ ing to the quality of their graduate faculty. quested information for both the years 1979-1980 Group I is composed of the 27 departments and 1980-1981. The sample in this survey is thus ranked highest. the same for both years and is different from the Group II is made up of the other 38 leading sample used in the Twenty-Third Salary Survey in departments listed in that report. 1979. In the salary tables on the following pages Group Ill contains all other U.S. departments the numbers in parentheses give the range of the of mathematics. middle fifty percent of salaries reported. The figures Group IV includes U.S. departments of statistics, outside the parentheses represent the minimum and biostatistics and biometrics. maximum salary listed by any reporting institution. Group V includes all other U.S. departments in In some categories relatively few departments re­ the mathematical sciences. ported and, because significant figures were not Group VI consists of all doctorate-granting de­ available, salaries are not listed. partments in the mathematical sciences in Canadian The information reported this year on the num­ universities. ber of faculty members is based on returns from Although Canadian doctorate-granting depart­ 867 departments in the mathematical sciences, 164 ments are grouped separately, those granting bachelor of which did not contain usable salary information. and master degrees are included with U.S. depart­ For these reports, the departments are divided ments, as in previous reports.

*The findings were published in A Rating of Graduate Programs by Kenneth D. Roose and Charles J. Andersen, American Council on Education, Washington, D.C., 1969, 115 pp. The information on mathematics was reprinted in the February 1971 issue of the Notices, pages 338-340.

602 TABLE 1: TOTAL FACUL 1Y REPORTED FOR FOUR-YEAR COLLEGES AND UNIVERSITIES 1979-1980 1980-1981

FACJ.!LTY WOMEN FACULTY WOMEN With With With With Total Tenure Total Tenure Total Tenure Total Tenure

~THOUTDOCTORATE Instructor/Lecturer 654 86 315 42 643 84 312 36 Assistant Professor 675 525 160 124 634 492 149 113 Associate Professor 559 529 73 69 560 532 75 70 Professor 153 151 __!i __!i 163 161 __!i __!i 2041 1291 562 249 2000 1269 550 233

~TH OOCTORA TE Instructor/Lecturer 254 8 43 1 220 8 41 0 Assistant Professor 2193 311 273 34 2178 291 287 33 Associate Professor 3025 2779 182 159 3034 2762 200 176 Professor 3583 3523 150 148 3693 3639 154 152 9055 6621 648 342 9125 6700 682 361

NUMBER OF FACULlY MEMBERS REPORTED making it difficult to draw firm conclusions about the sizes of the faculty groups studied. Because the The figures in Table 1 for the number of faculty questionnaires request data for two years in a row, members with doctorates, and among them those however, it is possible to estimate relative changes with tenure, show relative increases this year less from one year to the next with somewhat more than half as large as those reported last year. For confidence. This year's response rates are given in women, however, the percentage increases in both Table 3. As in past years, the greatest rates of these categories are larger than last year's; of the response are in Groups I, II, and Ill, which have a tenured doctorate-holding faculty members reported, combined response rate of 77%. For these depart­ the number of women now exceeds 5% of the total and is increasing more rapidly than the size of the ments an independent count (cf. February 1980 group as a whole. Notices, page 173, Table 3) indicates that the num­ The figures in Table 2 break out tenure percent­ ber of faculty members reported constitutes just ages for several groups of departments. These figures under 76% of the total. Corresponding counts are are comparable to last year's figures (October Notices, not available this year for the other groups. page 383) which indicated a sharp drop in the growth of tenure percentages compared to prior years. TABLE 2: PERCENT OF DOCTORATE FACULlY WITH TENURE TABLE 3: RESPONSE RATES Fall 1979 Fall 1980 U. 5. Departments Group I II Ill IV v M B Groups I, II, Ill 74.1% 76.3% Groups IV, V 64.7% 64.0% %Response 74 82 76 51 37 51 44 Group VI 89.2% 89.8% Canadian Departments Masters and Bachelors 72.9% 71.7% Group VI M B Response Rates. Response rates among the various classes of departments vary widely, thus %Response 44 42 50

603 Maximum

(195-225)235 (251-288)340 (478-530)560

(155-206)223

(149-206)259 (198-224)240 (257-288)330 (422-490)572

(231-270)301

(190-222)259

(129-189)245 (181-209)240

(118-161)200

(249-292)322 (328-443)555

Median

(178-203) (237-261) (332-408)

(142-206)

(142-177)

(235-257) (312-367)

(226-267)

(176-200)

(120-166) (170-204)

(179-195) (223-250)

(118-157)

(284-340)

1980-1981

Minimum

dollars)

98(115-164)

160(174-190) 185(201-232)

230(262-300)

120(137-206)

183(206-230) 160(250-281)

130(137-177) 119(160-184)

135(158-202) 145(210-251)

136(165-185)

194(245-280)

105(118-155)

165(199-227)

of

SALARIES

hundreds

(in

Maximum

(225-278)299 (438-479)513

(135-195)220

(180-200)215

(398-460)537

(181-210)277 (234-281)300

(110-174)235 (166-192)226

(130-166)230 (180-203)250

(210-245)271

(107-150)167

(235-269)301 (305-402)509

Median

(163-183) (210-238) (298-365)

(125-190)

(125-156) (160-185) (215-233) (283-330)

(110-153) (156-188) (209-245)

(263-318)

(107-142) (163-183) (210-231)

1979-1980

Minimum

85(148-168)

95(107-143)

96(105-145)

145(151-170) 177(188-210)

211(235-273)

115(120-190)

110(120-154)

164(107-212) 160(225-262)

122(153-187)

137(202-237)

130(152-170) 153(189-210) 182(225-260)

0

0

2

2

0

7

0

0 4

0

4

11

25

17

37

0

15

26

17 21

3

42

Wdh

Tenure

2

0

0

4 4

6

18 11 12 12

46

22

23 19 19 16 16

62

2

16 49

69

24 36

17

83

WOMEN

Total

reporting)

reporting)

reporting)

0

2 5

4

6 0

2 8

9

9

0

27

47

48

38

707

87

152

549

921

0

532

12

1235

of

Wdh

1980-1981

TV

of

of

Tenure

2

0

8 6 1 1

44

45

59

13 13

89

49 46 46

47

(20

155

(31

150

550

899

-2 391 369

(66

224

542 541

197 115

361 564

665 655

1216

FACULTY

1637

53

Total

FACUL

I

II

Ill

0

0

9

2

0 0

5

0

7

3

0

4 0

OF

12

23

16

34

0

27

5

35

With

Group

Tenure

Group

Group

2

9

0 0

8

0

4 4

19

12

47

25

25 18 18

2

15 15

59 16 16

39

41

11

61 16 14 17 17 WOMEN

SIZE

83

Total

0

2 7

9

4

1

2

9

9

0

48

55

730

568

-0 363

897

119

529

l5

627

With

1979-1980

Tenur.!_

2

1

8 5

71

74

42

11 11

52 51 83

48

56

159 163 156

569 962

DEPARTMENTS.

2

382

240

532 523

194

DEPARTMENTS.

384 562

639

DEPARTMENTS.

FACULTY

1228

51

1641 1211

Total

TE

TE

TE

TE

GRANTING

GRANTING

GRANTING

DOCTORATE

OOCTORA

Professor

DOCTORATE

Professor

Professor

Professor

Professor

Professor

Professor

Professor

Professor

Professor

OOCTORA

OOCTORA

OOCTORA

DOCTORATE

WITHOUT

Instructor/Lecturer WITH

Professor

Assistant Associate Faculty Instructor/Lecturer

WITHOUT Assistant

Instructor/Lecturer

DOCTORATE

Professor

Associate

WITH Salaries

Professor

Assistant Associate Instructor/Lecturer

Assistant Associate

DOCTORATE

Professor

WITHOUT

Instructor/Lecturer

Assistant

WITH

Instructor/Lecturer

Associate

0'1

i

77)550 77)550

7-4 7-4

---

(198-283)310 (198-283)310

(392-481)589 (392-481)589

(246-299)409 (246-299)409

(38 (38

(305-386)400 (305-386)400

(400-500)600 (400-500)600

(250-300)375 (250-300)375

(220-245)300 (220-245)300

(196-221)295 (196-221)295

---

(262-314) (262-314)

(352-403) (352-403)

(179-249) (179-249)

(334-388) (334-388)

(243-275) (243-275)

(232-287) (232-287)

(210-226) (210-226)

(188-206) (188-206)

(344-396) (344-396)

---

197(281-350) 197(281-350)

168(168-225) 168(168-225)

196(216-269) 196(216-269)

173(190-216) 173(190-216) 206(211-267)

165(177-199) 165(177-199)

216(271-346) 216(271-346) 226(233-256) 226(233-256)

251(282-342) 251(282-342)

(370-453)535 (370-453)535

(237-280)350 (237-280)350

(235-277)364 (235-277)364

(180-208)257 (180-208)257

(282-350)390 (282-350)390

(371-452)550 (371-452)550 (205-283)300 (205-283)300

(194-225)279 (194-225)279

(387-462)520 (387-462)520

------

(243-310) (243-310)

(320-372) (320-372)

(167-244) (167-244)

(312-366) (312-366) (223-255) (223-255)

(224-264) (224-264) (186-207) (186-207)

(175-194) (175-194)

(318-399) (318-399)

---

185(203-272) 185(203-272)

197(259-320) 197(259-320) 149(150-224) 149(150-224)

193(211-240) 193(211-240)

178(212-259) 178(212-259) 150(176-195) 150(176-195)

155(162-182) 155(162-182)

200(259-321) 200(259-321)

254(255-336) 254(255-336)

1 1

1 1

0 0

0 0

0 0 0 0

0 0

0 0 0 0

0 0

6 6 0 0

0 0

0 0

0 0

0 0

1 1

6 6

5 5

1 1

2 2

11 11

0 0

u u

7 7

7 7

1 1

7 7

0 0

0 0

1 1

3 3

3 3

1 1

0 0

0 0 0 0

6 6

2 2

6 6

5 5

9 9 9 0 0

1 1

5 5 4

10 10

19 19

22 22 32 32

10 10

10 10

40 40

9 9

8 8

reporting) reporting)

reporting) reporting)

reporting) reporting)

1 1 1

1 1 7

0 0 0 0

0 0

0 0

0 0

0 0

0 0

8 8

4 4

96 96 11 11

19 19

127 127

36 36

67 67

344 344

106 106

243 243

328 328 240 240

353 353

158 158

26 26

6 6

6 6

of of

of of

of of

7 7 7

0 0

0 0

6 6

6 6 6 3 3 3

5 5

3 3

1 1

11 11

16 16

21 21

14 14

55 55

(16 (16

(47 (47

(38 (38

151 151 151

137 137

112 112

186 186 246 246

147 147

241 241

583 583

506 506

158 158

365 365

2s 2s

22 22

31 31

V V

VI VI

IV IV

7 7

0 0 0 0

0 0

0 0

0 0

0 0

1 1

1 1

2 2

2 2

2 2 0 0

0 0

0 0 1 1 1 1 1 1

0 0

0 0 0 0

11 11

0 0

7 7

u u

7 7

1 1

Group Group

Group Group

Group Group

7 7 7

7 7

7 7

1 1

0 0

6 6 6 0 0 0 0

9 9

2 2

1 1

6 6 5

0 0

3 3

3 3

1 1

1 1 0 0

0 0

2 2 2

4 4

29 29 18 18

35 35

21 21

10 10

10 10

7 7

9 9

7 7

0 0 0 0

0 0

0 0

0 0

0 0

1 1

1 1

1 1

1 1

8 8 1 1 8 8

5 5

5 5

20 20

98 98

330 330

158 158

102 102

324 324

227 227

345 345

8 8

2s 2s

6 6

7 7

7 7

7 7 7

1 1

9 9 1 1

2 2

0 0

3 3 8 8

3 3

3 3 3

57 57

11 11 11

18 18

21 21

159 159

129 129

110 110 494 494

169 169

363 363 242 242 238 149 149

228 228

549 549

146 146 146

DEPARTMENTS. DEPARTMENTS.

DEPARTMENTS. DEPARTMENTS.

2s 2s

2s 2s

DEPARTMENTS. DEPARTMENTS.

2s 2s

TE TE

TE TE

TE TE

GRANTING GRANTING

GRANTING GRANTING

GRANTING GRANTING

DOCTORATE DOCTORATE

OOCTORA OOCTORA

DOCTORATE DOCTORATE

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Departments) Departments)

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

DOCTORATE DOCTORATE

OOCTORA OOCTORA

OOCTORA OOCTORA

(Canadian (Canadian

Professor Professor

Professor Professor

DOCTORATE DOCTORATE

Professor Professor

Professor Professor Professor Professor

Associate Associate

Assistant Assistant Professor Professor

Associate Associate Assistant Assistant

Assistant Assistant

Instructor/Lecturer Instructor/Lecturer

Associate Associate

Assistant Assistant

Assistant Assistant

WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer

Instructor/Lecturer Instructor/Lecturer

Associate Associate

WITH WITH

WITH WITH DOCTORATE DOCTORATE

WITH WITH

Instructor/Lecturer Instructor/Lecturer

Instructor/Lecturer Instructor/Lecturer

Associate Associate

Associate Associate

Assistant Assistant

WITHOUT WITHOUT

DOCTORATE DOCTORATE

~ ~ u. u.

---

Maximum Maximum

(229-305)470 (229-305)470

(186-244)347 (186-244)347

(161-200)273 (161-200)273

(174-224)322 (174-224)322

(155-208)263 (155-208)263

(226-283)410 (226-283)410

(126-156)272 (126-156)272

(288-356)527 (288-356)527

(230-286)425 (230-286)425

(185-221)308 (185-221)308

(220-263)420 (220-263)420

(266-360)489 (266-360)489

(135-183)227 (135-183)227

(184-223)325 (184-223)325

---

Median Median

(225-295) (225-295)

(183-232) (183-232)

(157-188) (157-188)

(221-283) (221-283)

(172-220) (172-220)

(150-200) (150-200)

(125-151) (125-151)

(220-252) (220-252)

(176-207) (176-207)

(262-320) (262-320)

(132-167) (132-167)

(177-215) (177-215)

(262-345) (262-345)

(209-250) (209-250)

1980-1981 1980-1981

---

Minimum Minimum

dol/ors) dol/ors)

80(120-147) 80(120-147)

75(125-160) 75(125-160)

137(218-278) 137(218-278)

125(173-223) 125(173-223)

120(154-182) 120(154-182)

164(221-283) 164(221-283)

120(172-214) 120(172-214)

115(146-192) 115(146-192)

159(238-292) 159(238-292)

140(197-230) 140(197-230)

125(166-197) 125(166-197)

222(238-337) 222(238-337)

148(200-241) 148(200-241)

133(170-211) 133(170-211)

of of

SALARIES SALARIES

hundreds hundreds

(in (in

Mo.~rimum Mo.~rimum

(207-284)440 (207-284)440

(175-223)320 (175-223)320

(149-181)264 (149-181)264

(163-205)285 (163-205)285

(140-190)264 (140-190)264

(210-260)380 (210-260)380 (120-145)256 (120-145)256

(268-325)477 (268-325)477

(213-258)387 (213-258)387

(168-219)287 (168-219)287

(270-317)457 (270-317)457

(125-172)219 (125-172)219

(203-249)382 (203-249)382

(173-206)300 (173-206)300

Departments) Departments)

Departments) Departments)

------

Median Median

(202-270) (202-270)

(171-212) (171-212)

(145-172) (145-172)

(163-202) (163-202)

(210-260) (210-260)

(140-183) (140-183)

(118-141) (118-141)

(161-190) (161-190)

(246-298) (246-298)

(204-234) (204-234)

(165-197) (165-197)

(256-314) (256-314)

(116-161) (116-161)

(197-234) (197-234)

Canadian Canadian

1979-1980 1979-1980

Canadian Canadian

32 32

19 19

of of

---

------

of of

16 16

8 8

Minimum Minimum

95(135-179) 95(135-179)

80(110-140) 80(110-140)

69(110-148) 69(110-148)

125(200-260) 125(200-260)

125(166-206) 125(166-206)

117(140-167) 117(140-167)

151(209-260) 151(209-260)

110(160-201) 110(160-201)

110(152-186) 110(152-186)

141(226-272) 141(226-272)

134(185-213) 134(185-213)

123(156-190) 123(156-190)

194(245-307) 194(245-307)

144(188-225) 144(188-225)

including including

including including

0 0

8 8

0 0

98 98

47 47

11 11 80 80

25 25

36 36

70 70

13 13

47 47

39 39

16 16 55 55

130 130

ill ill

With With

!'!!!!!!! !'!!!!!!!

8 8 8

6 6 6

43 43 43

85 85 30 30

59 59

64 64

74 74

10 10 85 85

49 49

39 39

61 61

reporting reporting

WOMEN WOMEN

191 191

211 211

109 109

218 218

218 218

112 112

reporting reporting

Totol Totol

4 4 4

0 0

1064 1064

77 77

66 66

352 352

30 30

38 38

510 510

535 535

193 193

133 133

846 846

242 242

569 569

1049 1049

1763 1763

of of

of of

Wlfh Wlfh

TV TV

!'!!!!!!! !'!!!!!!!

1980-1981 1980-1981

79 79

21 21

28 28

55 55 55

497 497 469

618 618

521 521

890 890

262 262 235 (470 (470

794 794 784

304 304

245 245

906 906

534 534

243 243 (179 (179

259 259 234

220 220

m m

1657 1657

2262 2262

FACULTY FACULTY

Totol Totol

FACUL FACUL

0 0

8 8

0 0

OF OF

99 99

43 43 26 26

48 48

86 86

40 40

12 12

14 14

45 45

63 63

37 37

18 18

122 122

123 123

With With

!'!!!!!!! !'!!!!!!!

8 8 8

6 6 6

58 58

43 43

WOMEN WOMEN 30 30

77 77

68 68

69 69

47 47

37 37

68 68 62

SIZE SIZE

183 183

208 208

102 102

202 202

otol otol

129 129

240 240

T T

3 3 3

1 1 9

DEPARTMENTS DEPARTMENTS

73 73 79

28 28 68 68

39 39

510 510

449 449

203 203 745 745

140 140

863 863

579 579

232 232

538 538

253 253

1035 1035

1749 1749

DEPARTMENTS DEPARTMENTS

Wlfh Wlfh

1979-1980 1979-1980

Tenure Tenure

70 70

18 18

18 18

55 55 55

603 603

509 509 473 473

884 884

268 268 239

754 754

315 315

231 231

917 917

526 526

826 826

233 233

283 283

255 255

1603 1603

FACULTY FACULTY

2215 2215

Total Total

TE TE

GRANTING GRANTING

GRANTING GRANTING

TE TE

DEGREE DEGREE

OOCTORA OOCTORA

Professor Professor

Professor Professor

DOCTORATE DOCTORATE

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

DEGREE DEGREE

OOCTORATE OOCTORATE

OOCTORA OOCTORA

Professor Professor

Assistant Assistant

Professor Professor

Instructor/Lecturer Instructor/Lecturer Associate Associate

WITH WITH

MASTER MASTER

Assistant Assistant Professor Professor

BACHELOR BACHELOR Instructor/Lecturer Instructor/Lecturer Associate Associate Professor Professor

WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer Associate Associate

Assistant Assistant

WITH WITH

Instructor/Lecturer Instructor/Lecturer

WITHOUT WITHOUT

Assistant Assistant

Associate Associate ~ ~ Salary Survey for New Recipients of Doctorates

The figures for 1980 in this article were compiled senior systems analyst in a dental school. from questionnaires sent to individuals who received Readers should be warned that the data in this a doctorate in the mathematical sciences during the report are obtained from a self-selected sample and 1979-1980 academic year from universities in the inferences from them may not be representative of United States and Canada. This year no attempt was the population. More comprehensive information on made to obtain information from individuals who the number, the sex-minority group status-citizen­ were reported to have left the U. S. or Canada. ship, and the employment status of the recipients of Questionnaires requesting information on salaries new doctorates granted last year in the mathematical and professional experience were distributed to 781 sciences in the U.S. and Canada may be found on recipients of degrees using addresses provided by the the pages which follow. departments which granted the degrees. Of these, 3 were returned by the postal service as undeliverable KEY TO TABLES BELOW and could not be forwarded. There were 455 in­ Salaries are listed in hundreds of dollars. Years dividuals who returned forms between late june and listed refer to the academic year ending in the listed early September. The tables below are based on the year. M and Fare Male and Female respectively. responses from 422 of these individuals (368 men One year experience means that the persons had ex­ and 54 women). Data from 33 responses were not perience limited to one year or less in the same posi­ used in the compilation of the tables below; forms tion or a position similar to the one reported; some with insufficient data, or from individuals who had persons receiving a doctorate had been employed in indicated they had part-time employment, were not their present position for several years. (X + Y) yet employed, or were not seeking employment were means there are X men and Y women in the 1980 considered unusable. In addition, one individual not sample. Quartile figures are given only in cases included in the tables below is a second-year resident where the number of responses is large enough to in psychiatry and another accepted a position as a make them meaningful.

NINE-MONTH SALARIES TWELVE-MONTH SALARIES

Year Min. _g1 Median _g3 Max. Year Min. Median Max. Year Min. Median Max.

TEACHING OR TEACHING AND RESEARCH TEACHING OR TEACHING GOVERNMENT (18 + 4) (198 + 28) AND RESEARCH (39 + 5)

1976 85 124 133 145 245 1976 100 155 270 1976 115 194 270 1977 72 130 140 150 328 1977 111 170 260 1977 105 187 330 1978 92 135 145 159 211 1978 101 185 290 1978 170 220 320 1979 100 145 157 170 234 1979 120 195 240 1979 180 243 357 1980 105 155 171 185 250 1980 143 195 350 1980 156 244 501 1976M 93 125 134 145 245 1976M 100 150 270 1976M 118 194 270 1976F 85 120 125 145 168 1976F 100 174 240 1976F 115 194 200 1977M 72 130 140 150 328 1977M 111 170 260 1977M 105 192 330 1977F 72 120 135 148 170 1977F 125 182 1977F 115 182 204 1978M 100 135 145 160 211 1978M 101 180 290 1978M 170 220 320 1978F 92 131 145 151 195 1978F 187 195 223 1978F 170 200 250 1979M 100 145 158 170 234 1979M 120 188 240 1979M 180 254 357 1979F 115 145 152 171 200 1979F 210 233 240 1979F 190 231 256 1980M 120 155 171 185 250 1980M 143 190 350 1980M 156 230 501 1980F 105 151 164 198 210 1980F 147 200 220 1980F 205 247 280 One year experience (164 + 16) One year experience (28 + 4) One year experience (14 + 4) 1980M 120 155 170 184 242 1980M 143 190 282 1980M 156 208 296 1980F 105 148 158 168 200 1980F 147 180 220 1980F 205 247 280

RESEARCH (5 + 0) RESEARCH (20 + 5) BUSINESS AND INDUSTRY (88 + 12) 1976 70 80 180 1976 90 130 210 1976 120 205 400 1977 80 86 160 1977 100 156 250 1977 100 210 380 1978 120 125 1978 100 185 248 1978 145 240 387 1979 110 132 160 1979 100 174 271 1979 140 254 380 1980 125 137 180 1980 120 180 321 1980 190 284 400 1976M 70 80 180 1976M 90 121 210 1976M 120 206 400 1976F 1976F 195 1976F 185 200 1977M 80 160 1977M 100 139 210 1977M 100 216 380 1977F 86 1977F 190 222 250 1977F 130 195 220 1978M 120 125 1978M 100 187 248 1978M 145 246 387 1978F 1978F 180 1978F 180 210 251 1979M 110 132 160 1979M 100 174 271 1979M 140 251 380 1979F 1979F 1979F 200 255 350 1980M 125 137 180 1980M 120 180 321 1980M 190 284 400 1980F 1980F 178 200 264 1980F 218 283 345 One year experience (5 + 0) One year experience (18 + 3) One year experience (66 + 10) 1980M 125 137 180 1980M 120 175 267 1980M 190 280 343 1980F 1980F 178 180 200 1980F 218 264 345

607 Report on the 1980 Survey of New Doctorates by Donald C. Rung This report concerns new doctorates in the year-down from 890 to 858. Whether a plateau mathematical sciences. It includes the employment has been reached remains to be seen. status of recipients of 1979-1980 doctorates in the mathematical sciences, and a breakdown according Employment Status of New Doctorates, 1979- to their sex, minority group, and citizenship. In 1980. Table 1 shows the employment status, by addition, trends in the number of doctoral degrees type of employer and field of degree, of 858 in the mathematical sciences are reported for each recipients of doctoral degrees conferred by mathe­ group of departments as defined by the 1969 matical sciences departments in the U.S. and Canada American Council on Education survey (described between July 1, 1979 and June 30, 1980. These on page 602). 858 individuals are listed, with their thesis titles, in The job market for new mathematical science this issue of the Notices. doctorates continued to be good in 1980. By mid­ In rows 1 through 5, the recipients are counted summer only 4. 7% reported that they were not em­ who accepted appointments in U.S. doctorate­ ployed although seeking employment. As observed granting mathematical sciences departments (Groups in previous reports in this series most of this group 1-V as defined on page 602). In the next 2 rows, do find employment by the end of the summer. (A the figures represent those accepting appointments second report on the employment status of 1979- in U.S. mathematical sciences departments granting 1980 doctorates is planned for the February or April masters and bachelors degrees only. The information 1981 issue of the Notices.) was obtained from the departments granting the The number of new mathematical sciences doc­ degrees and from questionnaires subsequently com­ torates reported for 1979-1980 decreased only pleted by about 52% of the recipients themselves. slightly from the total reported at this time last Among those 1979-1980 new doctorates em-

TABLE 1 1979-1980 EMPLOYMENT STATUS OF NEW DOCTORATES IN THE MATHEMATICAL SCIENCES / PURE MATHEMATICS

C> 't7 't1& 't7 fJ ~~ !J~ ...... f2"' ..f2"' "' ~§ J:t.. -~ §.~ YtJ :::: .CJ ~

Group I 12 22 14 2 1 2 0 0 3 0 5 61 Group II 16 5 13 1 5 3 0 0 5 1 3 52 Group III 9 13 6 5 2 11 1 0 9 0 0 56 Group IV 0 0 1 0 2 17 0 1 0 0 0 21 Group V 0 0 0 0 1 2 21 7 2 0 3 36 Masters 11 7 8 3 1 13 7 1 5 2 7 65 Bachelors 21 17 11 0 1 3 4 2 8 6 10 83 Two-year College or High School 8 1 0 0 0 0 0 0 1 1 2 13 Other Academic Departments 1 3 1 1 3 21 5 9 2 1 4 51 Research Institutes 6 2 5 0 2 4 1 2 3 0 3 28 Government 2 2 3 0 2 11 1 3 6 0 2 32 Business and Industry 9 14 10 6 4 31 23 25 17 0 11 150 Canada, Academic 3 3 1 0 1 0 11 2 2 0 2 25 Canada, Nonacademic 0 0 2 1 1 0 1 2 3 0 1 11 Foreign, Academic 7 10 3 3 1 6 2 9 8 1 4 54 Foreign, Nonacademic 3 6 1 0 0 9 4 1 1 0 4 29 Not seeking employ. 1 1 2 0 0 2 1 1 2 0 0 10 Not yet employed 2 4 4 4 2 6 2 2 9 1 4 40 Unknown 4 8 6 1 1 4 6 3 4 0 4 41 Total 115 118 91 27 30 145 90 70 90 13 69 858

608 played in the U.S. about 60% took positions in uni­ heads and in some cases from recipients themselves. versity or college mathematical sciences departments, Table 2 shows that 12.7% of the 1979-1980 the same percentage as last year. About 29% took doctorates are women. This is a decrease from the positions in government, business, and industry, 13.7 percentage reported a year ago. Table 2 shows while the remaining 11% are in two-year colleges, thirty-five new doctorates who are both U.S. citizens high schools, other academic departments, or research and members of a minority group, a decrease of four institutes. These figures are virtually identical with from last year; as in previous years this represents those reported last year. only a small percentage of the total. Table 1 shows as "not yet employed" about Analysis of the 1979-1980 employment forms 4.7% of the 1979-1980 new doctorates (this excludes for the new U.S. doctorates indicates that 8% of those whose employment status is unknown, and those employed by Groups I, II, and Ill departments those now in Canada or other foreign countries). are women, as compared to a 10% figure last year. The data in Table 1 were in many instances obtained (This percentage is just under 10% if Groups IV and in early summer of 1980 and do not reflect subse­ V departments are included.) Among new doctorates quent hiring during the summer; an update of Table employed by bachelors and masters degree-granting 1 is planned for the February or April 1981 Notices. departments 18% are women, while among those em­ A similar update last year revealed that nearly all new ployed by government, business, and industry 15% 1978-1979 doctorates not yet employed by early are women. Among the 40 individuals shown in summer subsequently found positions by Fall 1979. Table 1 as not yet employed five are women. (See the Notices, October 1979, p. 388, and Feb­ Trends in the Number of New Doctorates. The ruary 1980, p. 171. Only eleven individuals included downward trend observed since 1971 in the number in Table 1 were reported as having taken part-time of new mathematical sciences doctorates from Groups employment. I-III universities seems to have abated during 1979- Sex, Race, and Citizenship of New Doctorates, 1980. Table 3 gives the number of doctorates 1979-1980. Table 2 below represents a breakdown granted during 1977-1978, 1978-1979, and 1979- according to sex, racial/ethnic group, and citizenship 1980 by those departments in Groups I, II, and Ill of these 858 new doctorates. The information sum­ which reported in all three years. The number of marized in Table 2 was obtained from department such departments is indicated in parentheses.

TABLE 2: SEX, RACE, AND CITIZENSHIP OF NEW DOCTORATES July 1, 1979-June 30, 1980

U.S. DEGREES I ~!EN \VO~IEN I TOTAL

CITIZENSHIP I II CITIZENSHIP I I 1 1 Not , Total , j I Not I Total , RACIAL/ETHNIC GROUP U.S. Canada i other; Known i ill en l1 U.S. Canada other i Known 1 \\'omen 1 ; 114 Asian, Pacific Islander I 11 1 85 3 100 i' 4 10 T 14 I 19 Black I 11 i I 3 i 14 I! 5 I 5 American Indian, Eskimo, Aleut 2 2 I I i 2 Mexican American, Chicano, ' i I I Puerto Rican 1 I i 2 i 3 : 1 I 1 ~ 4 I i None of those above 425 10 89 1 525 73 9 82 607 I i ' 2 6 50 Unknown 41 2 ' 1 ! 44 4 I I I ' i Total Number 491 11 ! 181 5 688 ' 21 ' 108 796 i I s7 I I I I i I

CANADIAN DEGREES MEN WOMEN I TOTA L I CITIZENSHIP i CITIZENSHIP I Total 1 Not Total I , I Not 1 I RACIAL/ETHNIC GROUP U. S.l Canada i other Known i\1en U.S. 1 Canada 1 other I Known IWomen 1

Asian, Pacific Islander 3 4 I 7 Black I 2 71,2 i 2 American Indian, Eskimo, Aleut Mexican American, Chicano, I I il I Puerto Rican I None of those above 2 25 12 39 I 1 40 13 Unknown I I 11 1 13 I II Total Number 3 39 19 61 1 1 1 62

609 TABLE 3: NUMBER OF NEW M~THEMATICAL In Table 4 the decline for the statistics-related SCIENCES DOCTORATES REPORTED departments in Group IV is perhaps caused by the excellent employment prospects for statisticians. 1977-19781978-19791979-1980 Possibly more statistics students are opting for a relatively well-paying job after the masters degree. Group I (23 depts.) 205 216 228 Table 4 also indicates a drop for the computer sci­ Group II (34 depts.) 146 128 118 ence, operations research, and other applied depart­ Group Ill (74 depts.) 158 123 132 ments in Group V, although returns from those Total 509 467 478 departments are somewhat fragmentary. Table 3 shows a modest 2.6% increase among these departments from 1978-1979 to 1979-1980. However, Group II departments continued to de­ TABLE 4: NUMBER OF NEW DOCTORATES crease while Groups I and Ill showed an upturn. The decline in the number of new doctorates 1977-1978 1978-1979 1979-1980 continued in the departments reporting in Groups Group IV (44 depts.) 133 109 99 IV, V, and VI. Table 4 compares the number of doctorates granted during 1977-1978, 1978-1979, Group V (32 depts.) 109 117 115 and 1979-1980 in those Groups IV, V, and VI de­ Group VI (22 depts.) ___.22 __§§ __21 partments which reported in all three years. Total 311 292 268

Report on the 1980 AMS Nonacademic Salary Survey by Robert j. Thompson The AMS Nonacademic Salary Survey was de­ with doctorates and nonacademic employment; from signed for individuals with a doctorate in the mathe­ this list 540 additional people were identified, but matical sciences who had full-time nonacademic em­ their citizenship and full-time employment status ployment in the U.S., and who were citizens or were not known. permanent residents of the U.S. At the instigation In March, 1980, questionnaires were mailed to of the Society's Committee on Employment and these 1,175 individuals; 608 were returned, and all Educational Policy, the 1980 AMS dues notice con­ but 9 of them were usable. Respondents were asked tained several questions to be used for constructing to provide information that was accurate as of a list of such people; in this manner, 635 individuals March 1, 1980. (The questionnaire is reproduced on were identified. The Mathematical Association of p. 612.) There are certainly a number of people in America graciously provided a list of MAA members the intended group who were not sent the question­ 60 naire. Statisticians and computer scientists, for ex­ ample, are certainly under-represented. How many

ss ss

so so

~ 45 I

~ " ~ ~ :0 ~ ~ ~ :.z t1 :0 .. 1 I ~ ! T ! T ,. ~ I ~ z " ~ .. r ::. ~ ~ t ~ z ::. ,. " .. ·T ~ z ~ ~ "z 1 z ~ ttt!H 25 ttaHttH

MAX MAX

MIN MIN

SAMPLE SAMPLE SIZE SIZE 5 6 7 8 9 10 11 13 15 17 19 21 8 9 10 ' ' . 14 16 18 20 25 ,." >30 YEARS SINCE DOCTORATE" YEARS SINCE BACHELORS FIGURE 1 FIGURE 2 610 Since 1957 the American Mathematical Society has conducted an annual survey of faculty salaries. In addi· tion, new recipients of the doctorate are surveyed annually for a study that includes both academic and non· academic salaries. The results of the most recent of those two salary surveys appear in this issue of the Notices. Those surveys were made under the direction of the Society's Committee on Employment and Educational Policy (CEEP), whose members in 1980 are Lida K. Barrett (chairman}, Arthur P. Mattuck, Donald C. Rung, Hans Schneider, Robert J. Thompson and William P. Ziemer. Because of the growing importance of the employment of mathematicians outside traditional academic areas, CEEP decided in 1977 to conduct a salary survey of non· academically employed Ph.D.'s. The results of that survey appeared in the August 1978 Notices, pages 307-310. The committee is grateful to members of the AMS staff, especially Peggy Reynolds, for the efficiency with which the 1980 survey was conducted and for the preliminary organization of the data. people were missed, and how they would have smaller. A weighted average of median salaries for affected the results reported here are not known. the total survey population shows an increase of One comparison with another survey can be made. only about 12%. The AMS survey of new doctorates referred to above Figure 2 shows salaries as a function of years reported that for males accepting jobs in business since bachelors degree. That is a measure of expe­ and industry in 1980 the minimum twelve-month rience which is often used in salary reports. To the salary was $19,000; the first quartile (Q1 ), the extent that experience is correlated with salary, it median, the third quartile (Q3) and the maximum was thought that perhaps years since bachelors were $25,000, $28,000, $30,600 and $34,300, re­ degree might be a more appropriate measure of ex­ spectively. For the survey reported here, the corre­ perience than years since doctorate. Comparison of sponding numbers are $24,000, $24,000, $28,000, Figures 1 and 2 does not reveal any significant ad­ $33,500 and $35,000. vantage of one over the other, so years since doctor­ In Figures 1 to 8 of this report the heavy hori· ate is used throughout the rest of this report. zontal lines designate median salaries; the lighter Figure 3 is based on the salaries of the 46 femal1 horizontal lines mark the first and third quartiles: respondents and the 542 males. (Eleven respondents thus the vertical lines joining them represent the did not answer Question 4.) range of the middle fifty percent of the salaries re­ Survey respondents were asked whether or not ported. Figure 1 displays salaries as a function of they had supervisory responsibilities. Figure 4 is years since receipt of doctorate. This measure of ex· based on the salaries of those who answered yes to perience was used in the report of the 1977 non­ that question. There was a similar figure in the re· academic salary survey and is used almost exclusively port of the 1977 survey, but for that survey re­ in this report, so comparisons can be easily made. spondents were not asked explicitly if they were For example, the median salary for people who have had the doctorate for a year or less is about 27% •• higher for the 1980 survey than the corresponding median for the 1977 survey (about 2l>S years earlier). For more experienced people, however, the percent· 60 age increase in median salaries was substantially " ,. .. ll •• ..::! ~ •• ; :s .. 1!1 ~ 8 .. !; 1!1 I " "'l< :5 I ;I ! .. ~ .. z . "z ~ .. tf TL+t ~ z " " tt 25 ~ f

MAX 38 MIN 17 MIN " SAMPLE f--"TT--, SAMPLE SIZE SIZE f-"":...... 1--'--'-'"i FEM 0 2 1 Oto 5 6to 10 > 10 YEARS SINCE DOCTORATE YEARS SINC£ DOCTORATE SUPERVlSORS FIGURE 3 FIGURE 4

611 American Mathematical Society, P. 0. Box 6248, Providence, Rl 02940 NONACADEMIC DOCTORAL SALARY QUESTIONNAIRE

Answers to the questions below will be kept confidential. Published summaries will not permit identification of individuals or employers. The Information requested below should be accurate as of March 1, 1980. This questionnaire is addressed to individuals who have a doctorate in the mathematical sciences, who have full·time nonacademic employment in the U.S. and who are citizens or permanent residents of the U. S. If you are not In this category, please do not return this questionnaire. 1. Employer______City ______State ______2. Type of employer: [ I Business or industry [ I Federal government [ I State or local government [ I None of these (Explain): ______3. Do you have management responsibilities-that is, are you a supervisor, group leader, section head, etc.? [ ] Yes [ I No 4. [ I Female [ I Male S. Twelve month salary: $ ______6. Number of years since receipt of: bachelors degree ______doctoral degree. ______7. Number of years of nonacademic professional experience since receipt of: bachelors degree __ doctoral degree __ 8. Field of doctoral thesis: [ I Probability theory [ I Other pure mathematics [ I Statistics [ I Operations research [ J Computer science [ I Other applied mathematics l I None of these (Explain): ______9. How do you spend your time at work? (Total should equal 100%) __% Supervising others or administration __% Computer programming % Applied research __% Consulting or problem solving __% Basic research =%Other (Explain): supervisors. An arbitrary decision was made that the category business/industry in the report of the people who reported that they spent at least 30% of 1977 survey. For this report they are in a separate their time supervising others would be classified as category. Figure 5 is based on the salaries of re­ supervisors. That distinction should be kept in mind spondents in that category. There is no adequate in comparing the 1980 and 1977 results. short description that applies to all of these institu· There are a significant number of mathematicians tions, but for this report they are designated as Fed­ employed by institutions that receive essentially all eral Contract Research Centers. Figures 6 and 7 are of their funding from the federal government, but based, respectively, on the 357 respondents employed are not run directly by the government-such as Los in business/industry and the 131 respondents em­ Alamos National Laboratory and The Center for ployed by the federal government. Eighteen indi· Naval Analyses. Employees at these institutions are viduals were employed by state or local governments.

not under Civil Service, and they were included in 70

" ..

so .. " •• II.. II j 50 g ~ 40 ~ ~ 45 l ~ z I!! ;:; l 5 ;: 40 1 z ~ " ,. !,. .." .." ~ 35 ~ ~ ~ z .. "z z .. "z y+f .. 25 t lf

MAX MIN "23

SAMPLE SIZE II 0 2 I

YEARS SINCE DOCTORATE. YEARS SINCE DOCTORATE FED. CONTRACT RES. CENTERS BUSINESS/INDUSTRY FIGURES FIGURE 6 612 For this group the median salary was $22,000; Q1 Finally, the following table shows how many was $19,000 and Q3 was $30,000-essentially no people reported that they spent no time in research. change from 1977. For business/industry-the largest group of re­ spondents-those living in California and the North­ east were separated from the rest of the group. The results are displayed in Figure 8. Here Northeast from the Boston refers to the Eastern Seaboard No Applied Research 44% 52% 32% 39% metropolitan area to the Washington metropolitan No Basic Research 72% 81% 68% 66% area. No Research of Either Type 42% 47% 24% 33% Respondents were asked to select from among several general areas the one which best described EDITOR'S NOTE: The Employment Concerns Sub- their field of doctoral thesis. The results were: Pure committee of the Society's Committee on Employ- Mathematics 63%, Probability 5%, Statistics 5%, ment and Educational Policy (CEEP) felt that grad- Operations Research 2%, Computer Science 5%, and uate students in mathematics and their advisors Other Applied Mathematics 20%. would find useful a list of organizations where Ph.D. Respondents were asked to report the percentage mathematicians have found nonacademic employ- of their time at work spent in each of the activities ment. The list below contains the names of or- listed below. (A category "other" was included, and ganizations that have employed Ph.D. mathemati- the total was supposed to be 1 00%.) The table cians; it is not a directory of employers seeking shows for each activity what percent of the re- mathematicians, and should not be used as such. spondents reported it as their maximum. For ex- (Those seeking nonacademic or academic employ- ample, seven percent of the respondents reported ment should consult Employment Information in the that they spend at least as much time on basic re- Mathematical Sciences, which is published jointly by search as they spend on other activities. The totals the AMS and the MAA six times each year. Univer- in each column are over 1 00% because there were sity and college placement offices also have informa- many ties. tion on nonacademic employers.) ~ ~ The list on nonacademic employers below con- ~ #;! f tains, with few exceptions, those organizations which ,!> I ~ d" l f were mentioned as the employer of at least two lJ / l '! ~- l! people who responded to the nonacademic salary ------+-"-"~+-q;~""--T-~._,-__c.;'- survey reported above. This list does not include Supervising Others or the names of a substantial number of employers of 20% 19% 16% 34% Administration one of the respondents to the survey; among these Consulting or Problem Solving 44% 49% 41% 32% Computer Programming 21% 24% 16% 14% organizations are insurance companies, state, county Applied Research 19% 14% 30% 26% 5% 14% 4% 10 Basic Research 7% .. " ..

50 " " tn

MAX 37 MIN 19 SAMPLE 1-----,---,-....,-,-,---:~~:T:":T-::-r---:-:--r:ll.l S~M:S~ESI~: L71-~"'f'-lfl;-~ ~ZEL_~~~·~-~~~~-~~~~~--:-:---:-:-~~ DOCTORATE 3 01 ' ' CALIFORNIA NORTHEAST OTHERS YEARS SINCE DOCTORATE FEDERAL GOVERNMENT BUSINESS/INDUSTRY FIGURE 7 FIGURE 8 613 and city governments, medical centers, and small Martin Marietta Corp., Denver, CO consulting firms. Anyone considering nonacademic Math tech, Princeton, Nj; Arlington, VA employment should be aware that others have found McDonnell-Douglas, Huntington Beach, CA; Houston, jobs in such places. TX MIT Lincoln Laboratory, Lexington, MA BUSINESS AND INDUSTRY Mitre Corp., Colorado Springs, CO; Bedford, MA; Aerospace Corp., El Segundo, CA Mclean, VA Amoco Production Co., Tulsa, OK Motorola Inc., Phoenix, Tempe, AZ; Schaumburg, IL Analytic Sciences Co., Reading, MA NCR Corp., Wichita, KS; St. Paul, MN; West ANSER (Analytic Services Inc.), Arlington, VA Columbia, SC Argonne National Laboratory, Argonne, I L R & D Associates, Los Angeles, Marina Del Rey, CA ARINC Research Corp., Annapolis, MD RCA Corp., Princeton, Nj AT&T, Bedminster, Morris Plains, Nj; New York, NY Raytheon Co., Bedford, Sudbury, MA Babcock and Willcox, Barberton, OH; Lynchburg, VA Rockland Research Institute, Orangeburg, NY Battelle Memorial Institute, Columbus, OH; Richland, Sandia National Laboratories, Livermore, CA; WA Albuquerque, NM Bell Laboratories, Holmdel, Murray Hill, Piscataway, Science Applications, Inc., Ft. Walton Beach, FL; South Plainfield, Whippany, Nj Albuquerque, NM; Mclean, VA Boeing, Seattle, WA Scientific Systems Inc., Cambridge, MA Center for Naval Analyses, Alexandria, VA Sperry Univac, Irvine, CA; Washington, DC; Roseville, Computer Sciences Corp., El Segundo, San Diego, CA; MN Washington, DC SRI International, Menlo Park, CA Control Data Corp., Minneapolis, St. Paul, MN; System Development Corp., Santa Monica, CA New York, NY System Planning Corp., Arlington, VA Daniel H. Wagner Associates, Paoli, PA TASC, Reading, MA Educational Testing Service, Princeton, Nj TRW, Los Angeles, Redondo Beach, Sunnyvale, CA; EG&G Idaho Inc., Idaho Falls, ID Mclean, VA EXXON Production Research Co., Houston, TX Union Carbide Corp., Oak Ridge, TN; Charleston, WV Ford Motor Co., Dearborn, Ml Vought Corp., Dallas, TX General Electric Co., Schenectady, NY; Cincinnati, Westinghouse, Pittsburgh, West Mifflin, PA OH; Philadelphia, PA Xerox, Palo Alto, CA General Motors, Detroit, Warren, Ml Grumann Aerospace Corp., Bethpage, NY GTE, Mountain View, CA; Northlake, IL; Needham, GOVERNMENT MA Hewlett-Packard, Cupertino, CA; Corvallis, OR Defense Mapping Agency Honeywell, Inc., Billerica, MA; Minneapolis, MN; Department of Agriculture Department of Commerce Silverdale, WA Hughes Aircraft, Culver City, El Segundo, Fullerton, Department of Defense Los Angeles, CA; Denver, CO Department of Energy IBM Corp., Los Angeles, Palo Alto, San jose, CA; Department of Transportation Boulder, CO; Chicago, IL; Rockville, MD; Armonk, ICASE (NASA) Endicott, Mount Kisco, Poughkeepsie, Yorktown National Security Agency Heights, NY National Bureau of Standards ITT Research Institute, Annapolis, MD National Ins ti tu tes of Health Institute for Defense Analyses, Princeton, Nj; National Oceanographic & Atmospheric Administration Arlington, VA Naval Research Laboratory jet Propulsion Laboratory, Pasadena, CA Naval Surface Weapons Center Ketron, Inc., Wayne, PA; Arlington, VA Naval Weapons Center Lawrence Livermore National Laboratory, Livermore, Office of Naval Research CA U. S. Air Force Lockheed, Sunnyvale, CA; Plainfield, Nj U.S. Army Los Alamos National Scientific Laboratory, Los U.S. Navy Alamos, NM Veterans Administration

614 NEWS FROM THE NSF U.S. SCIENTIFIC COOPERATION (Reported in the NSF Bulletin) WITH WEST GERMANY, BELGIUM Programs which foster and support cooperation between scientists of the U.S. and the Federal Re­ PRESIDENT CARTER ANNOUNCES public of Germany and between those of the U. S. NATIONAL SCIENCE BOARD NOMINEES and Belgium were described recently in the NSF Bulletin. On June 20, 1980, President Carter announced Federal Republic of Germany. The counterpart his intention to nominate the following seven in­ sponsoring organizations are NSF (West European dividuals for membership on the National Science Regional Programs) and the German Research Asso­ Board for six-year terms expiring May 1 0, 1986. ciation (DFG). Eligible activities include joint re­ Renominee: Donald B. Rice, Jr., President, The search projects, binational workshops or seminars, Rand Corporation, Santa Monica, California. and short-term research visits. A small number of New Nominees: Peter T. Flawn, President, Uni­ sabbatical travel awards are also available. versity of Texas at Austin; Mary L. Good, Boyd All proposed activities must be reviewed and Professor of Materials Science, Louisiana State Uni­ approved by NSF and DFG. The annual deadline for versity, Baton Rouge; Peter D. Lax, Director, Courant joint research projects is November 1. Applications Institute of Mathematical Sciences, New York Uni­ for workshops and seminars and short-term research versity; Homer A. Neal, Dean of Research and Grad­ visits will be considered throughout the year. Sab­ uate Development and Professor of Physics, Indiana batical travel applications must be received at NSF University; Mary jane Osborn, Professor of Micro­ by May 11, 1981, for fall-semester travel, and by biology, University of Connecticut Health Center; August 1, 1981, for the spring semester. and Stuart A. Rice, Frank P. Hixon Distinguished Belgium. The sponsoring organizations are NSF Service Professor of Chemistry, The james Franck (U. S.-Belgium Program) and the Belgian National Institute, University of Chicago. Fund for Scientific Research. Activities eligible for The terms of the following Board Members ex­ support include individual visits, exchange of sci­ pired May 10, 1980; jewel Plummer Cobb, Norman entific personnel, joint seminars and workshops, and Hackerman, W. N. Hubbard, Jr., Saunders Mac Lane, cooperative research. Grover E. Murray, L. Donald Shields, and james H. Proposals or letters of interest for either program Zumberge. should be submitted only after consulting the re­ -NSF Bulletin spective program guidelines, which are available from the NSF Programs cited at the Division of Inter­ national Programs, NSF, 1800 G Street, N.W., Wash­ 1981 ALAN T. WATERMAN AWARD ington, DC 20550 (202-357-7554). NOMINATIONS SOUGHT The deadline for receipt of nominations for the NSF PROGRAM REPORTS 1981 Alan T. Waterman Award is December 3, 1980. NSF Program Reports are a part of the continuing The Award, presented annually to an outstanding ing process of review and evaluation of NSF pro­ young scientist, mathematician or engineer, will be grams. They present appraisal of the program con­ announced and presented in May 1981. For further tent, management, organizational and other major information, and/or a copy of the guidelines for sub­ trends, and reveal problems that require the attention mission, contact Mrs. Lois Hamaty, Office of Planning of senior management. and Resources Management, National Science Foun­ Accompanied by charts, photographs, and dia­ dation, 1800 G Street, N.W., Washington, DC 20550; grams, the following reports of interest to Notices (202-357-94 71 ). readers are now available from the U.S. Government -NSF Bulletin Printing Office, Washington, DC 20402: Computer Science, April 1980 (NSF 80-34). Pre­ sented by the Directorate for Mathematical and NATIONAL SCIENCE BOARD Physical Sciences. Request stock number 038-000- ELECTS CHAIRMAN, VICE CHAIRMAN 00443-3. Price is $2. At its Thirtieth Annual (216th) meeting the Electrical, Computer, and Systems Engineering, National Science Board elected Lewis M. Branscomb, March 1980 (NSF 80-27). Presented by the Direc­ Vice President and Chief Scientist, International Busi­ torate for Engineering and Applied Science. Request ness Machines, Inc., as its new Chairman; and Herbert stock number 038-000-00439-5. Price is $2.50. D. Doan, Chairman, Doan Resources Corporation, Mathematical Sciences, june 1980 (NSF 80-56). Midland, Michigan, as Vice Chairman. The two terms Presented by the Directorate for Mathematical and expire May 1982. Physical Sciences. Request stock number 038-000- 00449-2. Price is $2.25. -NSF Bulletin -NSF Bulletin

(NSF News continued on p. 637.)

615 Doctorates Conferred in 1979 -1980

The annual AMS liat or doctoral degreea in the mathematical aciencea and related aubjecb reporh 858 degree• conferred between Ju)J- 1, 1979, and June 30, 1980 by 216 department. in 141 univenitiea in the United State• and Canada. Each entry containa the name of the recipient and the theaia title. The numben in parentheaea following the name• or univenitie1 han the following meaning•: the flrat number ia the number or degree• lilted for that univenity; the next 1even numbers are the number of degree• in the categoriea of 1. Pure mathematic• (i.e., algebra, number theory, analy1ia, functional analyais, geometry, topology, logic, or probability); 2. Statiatica; 3. Computer acience; 4. Operation& re1earch; 5. Applied mathematic&; 6. Mathematic& education; 7. Other.

OPERATIONS RESEARCH ALABAMA Wu, Hueytlen Jamea, Vector lattice repre· uratatiorar arad related Stone- Wtierrtr411 Condap, Robert Jarnea, Marl:et prraelr• Aub1U'Il Unlvenlty th.eoremr. tiora of eraergg rupplr techraologier. (3;3,0,0,0,0,0,0) Djang, Arthur, Algorithmic equivlllerace ira quadratic programmirag. MATHEMATICS CALifORNIA Fleming, Randall Elliott, Coherent ,,,. Brandley, Michael Duri, Vector jielth tem repair models. fllliclt. generate flo•• to ruit molt iraitilll­ California Institute of Teehnology Fosaett, Lawrence Duane, Simu/atirag point·dutiraatiora-poirat poir1. (5;0,1,0,0,2,0,2) geraerlllized remi-Marl:ov procuru. Fuller, Luther Bulb, Treer arad proto­ APPLIED MATHEMATICS Fourer, Robert Ha.rold, So/oirag rtairc41e· mdriMble rpacer. rtructured /iraear program• bg adaptation Lane, Keith Whiteside, Ora th.e Borel c141r McLean, John Weidman, I. The jirager­ of the rimplez method. irag problem ira /lotll th.rougll porour media. of th.e IJI4Ce of prohGbilitr me41uru. Freund, Robert Michael, Vari4ble­ II. The l:irattic equation for Hamt1toraiara dimemiora complezer with application~. Unlvenlty of Alabama, Tusealooaa 11/rlemr. (5;1,2,0,2,0,0,0) McCord, Richard Kenneth, Miraimiz• Peroni, David Joseph, I. Seirmic rar· tiora with orae /inrar equlllity comtraint 4rad tracing ira piecewire /aomogeraeour media. APPLIED STATISTICS bourath ora the vari4bler. II. Aralllgrir of optimal rtep rize u/ectiora Liu, Wallace C., Minimum bi41 eltimatiora ira homotoPJ arad continuation mtthodr. Pollens, Lynne Janet, The rtairc41t 4rad 1111d e:tperimeratlll derigra for th.e ruporau related structure~ ira integer programming. rurface rlope. MATHEMATICS Rosenberg, Eric, Globlll/11 convergent 41- Takacs, Helen C., Ertimatirag comporaeratr Anstee, Richard Paul, I. Moore t1111e gorithmr for coravez programrru·rag with ap­ of variarace for th.e compldeiJ random graphr. II. Proprrtier of (0, 1)-matricu plicatiorar to geometric programmirag. model. with forbidden corajiguratiom. III. Prop­ STATISTICS MATHEMATICS erties of (0, 1)-matricer with prucribed Bell, Robert Michael, Ara adaptive method Chen, Pin Chung E., Stoch.41tic multiple row arad column rumr. of choorirag tht rcale parameter for M­ ohj relive programmirag problrmr. Calderbank, Arthur Robert, Algebraic e~timatorr. Fenceroy, Emma Rose, Furactioralll repre· codirag theor11. Duan, N a.ihua, Significance te~t for prior uratatiorar of refle:tive operator 41gebr41. Huffman, Michael David, Efficient ap­ dirtributiom: the modified efficient score Natarajan, Balakrish R., Eigemttr of pro:timate rolutiom to the Kiefer- Wtiu tell arad itr arymptotic theory. moraotorae proceuu. problem. Foo, Chen-Hui, Probability modtlirag arad Stanford Unlvenlty ertimatiora for hourly variation of air pol­ ARIZONA lution conceratratiorar. (21;7,4,0,10,0,0,0) Sarniei, Mahmood S., Tertr of rrm· Arhona State Unlvenlty MATHEMATICS metryand confidence regiorar for treatment (1;0,0,0,1,0,0,0) Chen, Jin-Tsu, Ora the e:tirterace of capil­ effrctr ira paired compari1011 modt/1. MATHEMATICS larg free rurfacu ira tht 4brerace of gravitg. Unlvenlty of California, Berkeley Winter, Jeffrey Lynn, A c141r of number Davis, Ronald Edward, Nev jump coradi­ ( 41;32,0,1,0,7,1,0) 1111d location optimization problemr, with. tiom for llate comtrairaed optimlll control MATHEMATICS 41lfllicatiom ira iraventor114rad catlllog prob­ prob/emr. lemr. Davis, Thomas Rowlands, Saturation Andersen, Niels Tort, Compact perturb• lllgebrar. propertier of a Berrarteira aJIJirozimatiora tiom of refte:tiue Unlvenlty of Arisona ora N -dimrrarioralll ballr. Austin, Beverly Marilyn, Comp/ezity arad (2;0,0,0,0,1,0,1) J clar1 llructure of finite remigroupr. Debell, Charles Neal, A comtructive, cora­ MATHEMATICS tirauour ro/utiora to Hilbert'• 17th prob­ Avihour, Daniel, Weal: mi:tirag ira c•. d11namiclll ryllemr. Forest, Mark Gregory, Multiph.41e averag­ lem, arad othtr re~ultr ira ~tmilllgebraic irag of periodic ro/uliora equaliom. geometry. Ba.las, Andrew Joseph, Hermiti1111 rur­ Kubelka, Richard Preston, The tr11111fer facer with conrt1111t holomorphic rectioraal Thompson, Donald Mark, Derigra cora­ curuaturr. rtructibilit!l: rtrorag/11 regular graph• arad 1111d Steerarod rquarer. The A-llabilitr blocl: derigrar. Mok, Ngaiming, The Serre problem ora Bar-Da.vid, Tsvi Israel, Riemarara rurfacer. of uporaentially fitted linear multi-llep methoth ezact ora periodic furactiom. ARKANSAS Trudinger, Peter Lawrence, The iraverre Bra.vo, Jaime Ricardo, Re/atio111 between rcatterirag problem for a perturbed wave 1 2 Unlvenlty of Arbnsas equatiora. /at T, /at T- arad /at T , arad operatorr with compact imaginary partr. (2;2,0,0,0,0,0,0) Wright, Christopher Glen, Computirag Cirincione, Ross Joseph, A mathematical MATHEMATICS the Wall group• L" for 2-h11J1ere/ementar11 rtudy of the raora-relatiuirtic limit ira quara­ Wiley, Joe A., Bitopologiclll1f14Cu. group1. tum mech4raicr.

616 Dana, Glenn Hamilton, Nflll-co6ortlilfll of Weiuer, Daniel P., Blliplic pli. point. of Hane7, Richard, TAl .,tication of non­ 10me cotlimenrion-1 C 00 /otiatiom. the Hilbert modular group and c/ur nutn­ linear progruaming,. • optirnilalion of Ennis, Christopher Jamea, Suf/icient con­ berr of imaginarp abelian number fieltlt. multitfop methotlt for 1M numerical rolu­ tlifiom for lfllootlting co-tlimenri on one Williams, Dana Peter, Tl&e primitifle ideal tion of ordin~~rr differential equatiom. /oliati ont. lpiJCI o/trant/ormation group c•-alge6r111 Haruki, Kaauhito, Monetarr and /Vetil Erkip, Albert K, Tl&e nth order elliptic and covariance alge6r111. policr effect• in 11 dpn~~mic macroeconomic 6oundorr value problem on non-compact Williams, Daniel Arthur, ill, On 11 global modeL tlomainr. par11metris of the Helmholtz oprr11tor Louie, Ming Yiu, Acceu-controt rclemu Fenimore, Charles Paine, AniiiJri• of al­ bounded 6rt•ren cert11in •eig/lled So6ole11 /or real-time and tfore-and-/or••d multi­ gorithm• for advection in tlirconfinuour lpGCII. ple-acceiB communication channelr. flour. BCI&NCB AND MATIIBMATICB BDVCATION Ro11, Alan, Stabilitr and tfllbilillt&6ilitr Gerber, Marliea, Topicr in ergodic throrf. Rou, Peter, Student diJficultiu in rolfling of infinite tlimenrionlllline• ~ptfemr fli11 Giller, Cole A., Some thrre and four calculut vord problemr. Li11pun011't direct method. dimenrional co"''"'" to Convap'• knot Tai, Tin Choi, P11r11meter erfimation of the the orr. University o1 Calltornla, Davis human rupiratorp ~prtem. Goldman, William Mark, Dircontinuour (3;1,0,0,0,1,0,1) groupr and the Euler cl111t. U nivenlty o1 Calltornla, Rlvenlde MATHEMATICS (4;3,0,0,0,1,0,0) Harman, Jonathan William, Chaim of Clarke, Judith Lorraine, A tfudJ o/ higl&er level ordering•. commutative cGncellative idempotent-free MATHEMATICS Hart, David Charles, On the lflloothnur 11migroupr. of generatorr /or fl01111 and /otiationr. Bunch, Henry Forrest, Reprerentationr o/ Hayes, David Frank, Long path~ in gr11ph1 11 dirtributive topological lattice of finite Hickenon, Dean Robert, Splitting• of implr the esirtencr of long circuitr. breadth. finite groupr. Jaaiulek, Joachim Norbert, Confinuou1 Okon, James Sidney, A•rmptotic prime Hull, Richard Baxter, Containment 6e­ line11r progrAmming; theorp 111111 computa­ divirors and /iltrotionr. t•ren interucfion /amiliu of linear and tion. reut /anguagu. Terlinden, David Milia, T•o rpectral prob­ UDiversity of Calltornla, Irvine lem• for operatorr generAting differentitll Jewell, Angelyn, Rational mapr of the equllfionr. Riemann sphere. (2;2,0,0,0,0,0,0) Wareham, Arlan Keith, Product functorr Kumjian, Alexander Anthony, On MATHEMATICS and related rtructuru in the category of localization and rimple c•-algebrlll. Jacoby, Carol Cook, Tl&e cl~~tlificlltion in netvorA:1 11nd flov-morphirmr. Lin, Shao-Shiung, Theoretical tfudp L':;' of groupr vith partial decomporifion of a reaction-tliffurion mode/ /or flame bllret. Univenlty of Calltornia, San Diego propagation in a g111. Smith, Raymond Frederick, Operatorr (5;4,1,0,0,0,0,0) Livingston, Charles, The knotting o/BUr· on p-adic Banach rpacu. facu in 4 ·IJHICU. MATHEMATICS Univenity of California, Los Angeles Lugo, Gabriel Guillermo, Structure o/ (17;6,0,2,4,2,0,3) Atkinson, Bruce Walker, Tl&e general tvirtor and H-rpacu. theorr of procurer for Markov /11miliu of McCurdy, Allan Charles, Accurate com­ MATHEMATICS tr·fieltlt. putation of divided tlifferencu. Beaver, John Bradley, Biharmonic func­ Border, James Samuel, NonlineAr H11rdr Menel, Jonathan Lee, Quadratic /ormt tionr on Riemannian mani/oltlr. rpacer and electrical pover tranr/er. over fieltlt vith finite/r manr orderingr. Becker, Howard Starr, Some application• Deyo, Roderic Carleton, Univerral trace Murio, Diego Antonio, Numerical methotlr of ordinal gamer. c/111111. for inveru tranrient heat conduction prob­ Fitlgerald, Robert William, Qulltlratic Sarraille, John Joseph, PI ringr vith lo• lemt. formr under /unction field estenrionr. Krull tlimenrion 111111 the rtructure o/ in­ Nitao, John Jun, The mathematical Koaaki, Hideki, Canonical LP -1pac11 u­ cidence algebrar of graphr. analrrir of tl&e thermal-hrtlraulic netvorA: tociated vith 11n ubitr11rr abrtract von Strait, Stewart Charles, A quwatic equafionr vltich occur in nuclear reactor Neumann alge6r11. mearure of deviation o/ rprctral utimatu. rafdf codu. Oxford, Stephen Charles, The HAmiltoni­ Peatien, Victor Charles, Jr., Stopping­ an of the quanfind non-line• Schrotlinger Unlvenity of Calltornia, Santa Crus fime-indesed convergence and mearurab/e equ11tion. (3;2,0,0,0,0,0,1) gambling. Trace, Bruce Stewart, Jr, H11111i/e6odp Radin, Lon Berk, Adding c/ored cofinal decomporitionr of /our-dimenrional mllni­ MATHEMATICS requencu to large cardinalr. /oldr. Langer, Joel Cosgrove, On 11 Pllriotional Ratiu, Tudor Stefan, Eu/er-Poi11on equa­ Urwin, Ron William, Geometric quan­ problem involving curvaturer of immerred fionr on Lie algebr111. ti•llfion ~~nd the cohomologr of Lie al­ rur/acu. Richman, David Ross, Some propertiu gebr~~t. McClurg, Phillip, C'l~~trification of F1 · of matric11 and their tranrporu, vith em­ SYSTEM SCIENCE pairr in Cl&eval/ey groupr over fie/dr of phlllir on fie/dr of characterirtic t•o. even order. Aryaneshad, Mir-Bahador-Qoli, Re­ Schlafly, Roger Sherwood, Univerral con­ plAcement and correction modelr vith im­ Roach, Michael Dean, Energr-mommtum nection• and 11 characterirtic cl111t for perfect information. rur/~~eu /rom left-invAriant metric• on Lie euclidean rpace. Asoury, Katy, Dpn11micinventoryproblem groupr. Smith, Stuart Preston, Contributionr to vith unknovn demand dirtribution. the eigenvalue problem for the Lap/aci1111. University of Southern Calltornla Berman, Arie, Adllptation of ret-defining (2;1,0,0,0,1,0,0) Sohrab, Houahang Haghighat, The c•• notation to the rpecification of/ormall~~n­ algebra of the N-tlimenrional harmonic or­ gu~~gu. MATHEMATICS eil/ator. Bose, Samireah, Tvo-dimenrionGI •mootll• Squier, Craig Cecil, On the homological Craig, Susanne Louise, Strong trichat­ ing o/1111ector LllpGCian r~~ntlom field vith omier 11nd the rplitting indes for linear algebra of Arlin groupr. application to geode.,. differential •rttemr. Stowe, Dennis Clark, Stable orbit• of Cutler, Melvin, A formal progr11m modal Milman, Mark, here"­ differentiable group acfiont. for tlircrete event rimulation and itt ure FeetlbllcA: control of in the verification and fllllidotion of rrtfem itllry lfdemr governed br linear operator Wei, Shihahu Walter, MinirnalitJ, rta.bilitp equaliont. and Plateau problem. model• and implement11fionr.

617 COLORADO Wealeym UDivenlty Georp Wuhlqton UDivenlty (1;1,0,0,0,0,0,0) (4;0,0,0,4,0,0,0) Colorado State UDivenlty MATHEMATICS OPII:RATIONS RESEARCH (1;0,1,0,0,0,0,0) Turner, Philip Harold, Arpedr ofcon­ Rappoport, Harold Kalman, An op­ ftATIIITICB !llsitr in Wli•ll kllllrnamieal rptemr. lilnilaliora teclr.nique for " naulti-timr­ perioll prollitirmiflf pro61rm. I,Jer, Hariharan K., B-opliu klancell Yale Unlvenlty 'P""' Shayan, Mohammad Ebrahim, A 2 3 urignr of llae m X ,. "ri". (12;10,2,0,0,0,0,0) mellaollo/ogr for comP"'iflf algoritlr.mr w Unlvenlty or Colorado MATHEMATICS " mdlr.oll of compulirag mth orller direc­ (7;5,0,0,0,2,0,0) lionallleriviJiivu buell ora ftJCtortJble prP­ Arnon, Jonathan Dan, T/r.e IJiecial ,,,_ grtJmming. MATHEMATICS rentalirm cnll mollul• reprerenliJiiofll of Smith, Wray Jackson, StJmple ,;., tJM •ffine Clr.evaller groupr. Baldwin, Stewart L., Malllo e•llinalr lilniflf lleciriofll for repeiJiell rocioecP­ 1111/l etJnonieal /ormr for 11queneu of Bergelson, Robert Joel, An IJilelic raolnic rur11err. ultrtJfilterr. Euler-MtJCitJurin /ormul• for imiJfifiMJ Wong, Man-Yuen, Improvemerat ofl:emel qutJilriJiic fie/Ill Mil tlr.e inlles of llae Barge, Marcy Muon, A qualittJii11e IJnal­ erlimtJCu of llae /r.ilure riJie functiora 6r Slicl:elberger iual of orur k rm 1(N). rnr of Taital:e equali rmr. c uftflf tlr.e generalinll jtJCirbiife IJM tine Cossec, Francois Roland, Projecliue Fickett, James Wildon, Iromdriu, •p• furacliora. mollelr of Enriquu rurftJCer •nil Reye con­ JI'OsimtJie iromdrier, w meuure. grueneer. fLORIDA Hopponen, Jerry D., Generali•ell in11erru Frenkel, Igor B., Orbital llaeorr for •ffirae of miJirien """ local riflf•· Lie algebru. florida State Unlvenlty Johnson, Kenneth Richard, Reci,oeitr Kersey, Donald Thomas, T/r.e inlles of (11;3,6,0, 1,1,0,0) 11111l mulliplicalillitr in• ""'' of tJrit/&mdic funcliofll. molluiM unitr. MATHEMATICS Little, John B., Tr•rarl•tiora muifolllr Mil Mitchell, Wealey Edward, Multiplier rep­ Malik, Saroj, A rlullr of rlrP"f S-tlcnrulirar th.e coraverre of Abel'• th.eorem. retenlaliofll of tlr.e twP-IlimennonaiiiJICice Mil Priifer v-multiplicalirm ~tom,;,.,. group. Sawka, John Martin, 0/lll prim•r Steera­ Morrison, Tim, Inllucell tptJCer oflleri!ltJ­ roll OJiertJtiorar ira tJIIdral requeneer. Tadjeran, Hamid, Bour&Wr •JIJirosimtJ• tiorar ira tlr.e p-tJilic Galoir tlr.eorr. Silver, Daniel S., Firalliflf rtiJble-bound­ Iion •nil time dep conlrol in iteriJiive im­ Schreur, Barbara, Ora llae prolluclion of Mier for opera Jive-llimerarirmal mMifolllr. JI'P!Iement for tlr.e numerical rolulirm of lorag-perioll comdr by dell• perlurbtJiionr ,.,tialllifferential equalionr. Traldi, Loren1o, Ora th.e llder!niraiJfltal of tlr.e Oort comet cloud. illealr of liM mollulet tJralltJ generaliziJiiora STATISTICS U nlvenlty or Denver of Torru' recorall re/aliorar. (1;1,0,0,0,0,0,0) Yu, Jing, A curpillal cltJrt raumber formul• Barker, Lawrence Edward, EslrefiUI for tlr.e mollultJr curlier X 1 (N). problemr ira ltJrge llellitJCiorar w B•renfll MATHEMATICS AND COMPUTICR SCII!:NCE """P"'tJmetric f•ilure riJie etlim.liora. STATISTICS Zerbe, Julia E., Generali•ell meuure Cheng, Errguang Philip, Ora """" 1/r.eorr. Spencer, Bruce D., Beraejil-cort IJflalrtir ,.,.metric ertimtJtiora of lleratitr 1114 of lltJttJ urell to alloctJte furallr: general regrertiora furactirmr. Unlvenlty or Northem Colorado re11enue rlr.IJriflf. Cheng, Kuang Fu, Crmtributiofll to (6;1,3,0,0,1,1,0) Wong, Manshek Anthony, Hrbrill clurter­ M,mptotic tlr.eorr for diJiirticr "' fune­ irag. tioraalr of llae empirical uratitr furacliiJfl. MATHEMATICS Cooper, Paul G., Two-••r clurter Malptir Barlow, Richard Lee, An invuligalion DELAWARE for raomiraal llottJ. of two tJrpectr of th.e Beii-DIJUum normal Fagerstrom, Richard M., Jr, A com,.,,.. """' tnt. UDivenlty or Delaware ti11e dully of rome bi""''"' mdlr.IJU. Fairbanks, Paul, Plllr•'• JI'Ppertr W, llir­ (3;1,0,0,0,2,0,0) Hannum, Robert Charlton, Jr, Conlri­ conjugtJCr, 1111/l llae conjugiJie point fane­ butionr to B•reriiJfl raonJIMGmdric rttJiir­ lion. MATHEMATICAL SCIENCES ticr. Manfred, Ernest John, A multiple regret­ Buchanan, James Landrum, Tlr.e Hilbert Wu, Ke-Tsai, T/r.e rltJbilitr of conlirauour lion •JIJirOtJCir. to pltJCemenl in miJI/r.e­ IJflll Riemura-Hilberl problem for ••rlemr JI'PfrtJmlniflf. malicr IJI 1/r.e United StiJier CotJII Gu.ll of Pucali trpe. Zinsmeister, Alan, Crmtirauour lime ActJilemr. Foulkes, John Banett, Sd-valuell fune­ M•kov inllepenllerat p•ticlr rrrtemr willa Vick, Donald M., Tlr.e mtJC/r.emalicr cur­ liorar tJM crmvesitr. coratirauour time iraput. riculum in tw11-re• collegu. Jordan, Kirk Edmond, A raumerical treiJI­ menl of riflfultJrlr Jllrturbell bow•rr •rail Unlvenity or Florida ftATIIITICI AND RlilSEARCH Ml!lTHODI initial-bounll•r 11alue pro61emr. (6;3,3,0,0,0,0,0) Crouch, William H., Legal w alrtJ­ MATHEMATICS IegalftJCtorr •ffecling court lliiJionliofll of DISTRICT Of COLUMBIA Boyles, Stephanie Marion, A courater­ felrmr offenrer. rztJmple to tlr.e bounllell orbit conjecture. Swank, Paul Russell, Hier•clr.ical clurler Ameriean University Winslow, Alicia Browner, ComptJCttJ ira flllalrtirfor ellucali rmal re~ttJrclt.. (3;0,3,0,0,0,0,0) th.e Storae-Ceclr. remtJinller of Rn. MATHEMATICS, STATISTICS AND COMPUTER Winslow, David G., Periodic lr.omeomor­ CONNECTICUT SCIBNCE plr.irmr Prl 8 2 X (0, 1) IJrlfl f?'. Berman, Nancy Greene, Terlirag tlr.e STATISTICS Unlvenlty or Conneetleut equalit' of llae meiJfll of two raormal llir­ Louv, William C., A comptJrirPfl ofmdh, (2;2,0,0,0,0,0,0) tributiofll wlr.era tlr.e rampler •e truneiJietL ou for combiniflf terlr of tignific•nee. Rinaman, William C., AlltJptive proce- MATHEMATICS Ondrasik, John Anthony, POJiulaliora tlurer in ~malrrir o/IIMiiJfiCe. uratitr ertimtJCiora utirag friJfllect ••m• Chung, Jae Muung, Tlr.e injedin hall of Smith, William, AJIJirosimiJiirm of tlr.e plirag. torlirm free IJ6elicn grouJII. dirtribuliora furacliora tJM momenl of Yun, Sang un, Erlimalion of ,.,.meterr Riley, John Henry, Jr., Su6Gige6ru of 1/r.e one-r•mJIIe two-nllell Kolmogorov­ for th.e mollelr willa raormal w esporaenlial H"" 1114 llae coronc priiJIIrlr. Sinimov rlalirlic. dirlribuliofll urell in life terliflf pro61emr.

618 UDivenltJ or Miami U.LINOJS UDiveralty or Chlc:~~~o (1;1,0,0,0,0,0,0) (1;0,1,0,0,0,0,0) DUnoblnlltltute Tec:bnolozr MATHBMATICB or ITATIS'I'ICB (1;0,0,1,0,0,0,0) Heller, Barbara Ruth, Sfl'eial /uraeli11P11 Sumner, John Sanford, GmerlllUecliiMi­ COMPUTER SCIENCE orad tile cAaracteriHtion of probobilitr dir­ tion rdr. tri6utioru br corutant regrerriora of pol,. Wojciechowaki, Witold, MultiJI/e-valued raomial rtatimcr on tAe mean. UDivenitJ or South florida cora6iraational/ogic derign uring theorem (2;1,1,0,0,0,0,0) ,oving. UDivenlty of BUnola, Chlc:ago (5;1,2,0,1,1,0,0) MATHBMATICS DUnoil State Unlvenlty Lachance, Michael A., Bstrerr&GI pro6/emr (1;1,0,0,0,0,0,0) MATHEMATICS Filar, Jeny Andnej, Algoritllmrfor ro/11- for conrtrained po/pomialr and univalent MATHBIIIATICS ing rome uradircounted lfoeluutic gamer. functioru. Foody, Walter M., Propertier, corartrue­ Weng, Chen-Ming, Nora,.ramdric quon­ Chao, Kenneth, An algoritAra module for Gbrtraet algebrA. tiora, orad &flfl/icaliora of BIB derigru vitA Baruiora utimolion of re/iobilitr on4 prior repeated 6/ocl:r. dirtributiora. Northweatern UDivenlty Lucu, Richard John, Bigera11alue bouradr (14;1,0, 7,3,0,0,3) orad rtabilitr of coruervative fluid and ,..,.. /101111. GEORGIA BLECTRICAL ENGINI!ZIUNG AND COMPUTBR SCIENCE Magda, Conatantine Gregory, On B­ optimal 6/ocl: derignr and Scllur optirr&GI­ Emoey UDivenlty Devor, Charles C., A rimulaliora rtudr (1;0,0,0,0,0,0,1) if'/1. of attribute-hued /oekirag mecAanirmr for Thulin, Frederick Adolph, Ill, Undecida- MATHBIIIATICB relational data buu. 6i/itr of rome natural differential fieldr. Mekly, Leon J., A rrrtemr ap,oaell to Jacobaon, Michael Scott, Ora variour es­ roflware drrign reprueratatiora. UDivenicy of Dlinoil, Urbana­ terarioru of Ramrer tAeorJ. Nakajima, Kaauo, Ora multiproeuror nora­ Champaign UDivenlty or Georgia ,ermptive rclleduling witll dircrde dart­ (15;13,0,0,0,1,1,0) (11;3,4,0,0,1,3,0) ing timer. EDUCATION Naqvi, Shamim A., Performing irrjerencu Timraz, Kadria Ali, An aflfl/icatiora­ MATHBMATICS over recurrive dato6uu. orierated 4flflrOGell to matricer "' unifierr Alif, Metod, Geometric c/urification of Verolf, Robert Louia, Automatic tramfor­ of rome mt~tllemolical topicr iralligll rcllool rimJIIieial rtrueturu ora topological mani­ matioru ira tile irr/ererace ,oce11. matArmGticr. fold.. Yang, Chen-Chau, An &flflrOGcll to rofl­ MATHBMATICS Kuhn, Stephen Walter, Ora tAr modular ware arcllitecture derigra orad rpeeificGtiora. Bonvallet, Robert, Tile martingale prob­ reprueratGtiora ring of Z 4 x Z 2. Yaanolf, William Alan, Error meuurer for lem for tile dfP14mic g111 model. Malakian, Kourken, Linear orad rac~rrliraear rcerae ~rgmeratGtion ira automated cytolof11. Fry, Michael D., Lifting outomo,llirmr to rtoeluutic operGtorr. INDUSTRIAL ENGINEERING AND 1tem esterariorar oft~ finite group. Whitaker, Genevieve Gaither, Two-rtep MANAGEMENT SCIENCES Fry, Robert Marvin, Cwaeterilfic IUr· ro/vo6/e Lie algdru orad the iromorfllli•m Fang, Shu-Cherng, Geraeralind com­ ft~cu ira raon-orientt~6/e 3-mtmifo/dr. ,o6/em. JI/emerataritp, variational iraequalitr on4 Geih, Robert Frederick, Tile Pettir in­ tegral. MATHBMATICS ZDUCATION fised point ,o6/emr: tAeorr and apJI/ica­ tioru. Harner, James Lee, On tile 011erage order Corbitt, Mary Kay, Validation of two cora­ Kinch, Kenneth C., Mara.,ement po/ieier of tile dilliror furactiora, lattice point func­ lfruetr of Attitude toward •c/aoo/ matAe­ tioru, and otller aritllmeticalfuraetioru. for rclledulirag palieratr ira an emergency molicr. room: a computer rimulatiora &flflrOGciL Hurder, Steven Edmond, Dualllomoton iravt~riaratr of G-foliationr. Ehr, Carolyn Kathryn, Cognitive lfr/e Libman, Ardwin S., Procurement of orad irrjormoliora ~election during tAe •lllu• Karney, Dennis F., Dualitr on4 ap­ evaluation rrrtemr: a cue rtudr of the ,ozimGtiora ira umi-irafiraite program­ tiora of matAemolicr word ,o6/emr. fl"'&mdric foetor evaluation &flflroaeA to ming. Spikea, Willie Curtia, On • model for rource u/ectiora. Lockhart, Robert Bruce, Ji'redllo/m prop­ clai/drera'r /earning oftuUitiora ondiUbtrae­ Osekici, Suleyman, Optirr&GI control of tiora. em" of 11 clur of elliptic ope rat orr on lforGfe modrlr witll Marl:o11 IIMitive ira­ PIOPI•COmfiGef maraifo/dr. putr. ITATIS'I'ICS AND COMPUTER SCIENCE McKenty, Geoffrey Evan, Independent Sauter, Vicki Lynn, In/ormation ure ira Lu, Hain-Haien Hank, A unit dratifiealion utr ira grt~pllr and the partition problem. dreiriora-makirag; three cue rtudiu focur­ Moore, Vardeman G., Recurrive function '"""''' derign uring rotational ramJI/ing. ing upon the ure of criteria ira tile deeiriora­ theor11 ira group• t~rad umigroufll. Pickett, John R., Selecting all po,Wationr making procerr. better tAara • controL Perkins, Edwin Arend, A raora·ltt~ndard Venta, Enrique R., Productiora-/oeation &flflroaell to Brownian local time. Taai, Li-Yueh Denise, Brtimation ora tAr decirionr. truncated gamma dirtributiora. Rawsthorne, Daniel A., Improvement• ira Taai, Paul-Jeih, Interval utimation, rw­ MATHEMATICS the rmall neve ertimate of Selberg 6r itera­ tion. ing and ~election ,oceduru. Hurley, Michael G., Attraetorr: perrirt- Sunseri, Richard Frank, Zero• of P-odic ence, and deraritr of tMir buirar. orad L-furactioru orad deraritier relating to IDAHO Southern Dlinoil University, Bernoulli raum6err. Carbondale Vasak, Janet Tncinaki, Periodic Ber­ Idaho State UDivenlty (2;1,0,0,0,0,0,1) noulli num6err and po/rraomialr. (2;1,0,0,0,0, 1,0) MATHBMATICS INDIANA MATHBMATICB Becker, Leigh Carl, Stobilitr coraridera- Indiana UDivenlcy Haertel, Raymond Delbert, Corau of tioru for Volterra integrodiffereralial equa- (2;1,1,0,0,0,0,0) mGtricu and linear trGruformolioru. tioru. MATHBMATICS Johnaon, Jack Van, MatAemolicr r/cil/r for VanHaagen, Antoniua Johannes, Finite Chiang, Ching-Yuan, Some rani: ordtr Ao .. ondworA:. rirraecl meuurer on function 'fl""· telfr ira linear regrerrion.

619 Johna, Ronald Alan, 7\'act monotonicif,, Ormsby, Ellen, Holomorpl&ic mapr of Lin, Lawrence 1-Kuei, TAr •ff•ct o/non­ -.sifa 111111 dollle ,otsnlilllr. fikretliJHKrr. normlllitr on multiple rro.p dircrilllin. lion 111111 erlimalion of 1/&e /ogidic rir/r. Purdue UDlvenlty Smiley, Leonard, De,entlence 1/&eortllll for meromor,ll8c llliJIII. function vl&en tlala. are Ata.llf tailrtl will& (22;0,4,5,9,4,0,0) Snow, Dennis, Preutloeonca.ve Aomogene­ clumping 41 •ero. COMPU'I'ZR. SCIENCBS ou• manifoltlr. Pendergast, Jane Frances, Ro6UII 111ima.. Balbo, Gianrranco, A,prosimofe mdAOIU lion in rrovl/& curve motlelr. in com,uter l"rformance evaluali on. IOWA Soliman, Zeinab Selim, Two ra.mple loea.. Boin•ert, Ronald Fernand, High ortler lion a.ntl rcllle ''"' for didri6ulionr will& /irrile difference tecWquer for elli,tic Iowa State UDlvenlty 1/&e ra.me /inile inlel'lllll o/ru,orl. llountlorr vlllue ,roblemr. (1 T;0,8, T,0,2,0,0) KANSAS Dennis, Thomas Donald, A capabili" ar­ COMPUTER SCIENCE cll8tedure. Kansas State UDlvenlty Hevner, Alan Raymond, QuerJ ,roceu­ Allan, Stephen John, Tile retluction of (4;1,2,1,0,0,0,0) ing on a didribuletl tlGIGbue rpdem. tlala. tle,entleneier in l&ig/& /eve/ progra.llll. Miller, James Rosa, Computer gra,Aicr in Boyaen, John Peter, Fa.dorr a.ffeding MATHEMATICS macromolecular crJIIIIIIogra,AI/. com,uter ,,ogra.m com,rel&enrion. Shad, Saeed Ahmed, CI&Gracteri•alionr of Brown, Walter E., Tova.rtl a.n optimUing geomdriu re/a.letllo polar rpa.cer. INDUSTRIAL ENGINEERING compiler for a. verJ l&igl& /eve//angua.ge. Wittekind, Glen W., Col/oca.lion mel/&otU Akileawaran, Vaidyanathan, o,timlllitp Henry, Sallie M., An in/ormGiion flow for rlli,tic partiAl differentiAl equAiionr. anaiJri• of Aeurirtic tlecirion rulu in vGier mdl&otloiOfll 41 a. biSiir for tile tlerign 111111 STATISTICS rerource planning. evlllua.lion of o,.raling rprlemr. A.adivar, Farhad, OplimizGiion of do­ Mara1inghe, Mervyn G., Temng ru6Ja,. Roeder, Robert D., 7Jpe tlderminAiion in ,otl&uu in tile mullifllica.live interaction eMilie ••dem• IAroug/& rimuiGiion uring an Ol'timizing compiler for APL. docl&ulic a,rosimAiion mell&od. motlel. Thoreaon, Sharilyn A., A dutlJ of mem­ Mira, Seham Ismail, lntera.elion in lvo­ Evans, Gerald W., o,timal generGiion orp re/erenetl in a. tla.la. flow environment planning /or electric ulilitiu. va.p cova.ria.nce motlelr will& one o6rerva.. Wittneben, Walter James, Derign a.ntl lion ,er cell. Hiatt, William H., A grou, 1/&eoretic evllluali on of a. reference dring ra.m,ling a,rOGCI& to '"rametric integer ,rogram­ metl&od. UDlvenlty of Kansas ming. {2;2,o,o,o,o,o,o) Philipson, Roland Henry, An lllgoritl&m MATHEMATICS MATHEMATICS for 1/&e oplimirGiion of a multiple-rpintlle Skar, Sherwin James, SIGbilit, of ,over Alomofic bar macll8ne. rpllemr a.ntl otl&er rpdemr of recontl ortler Atkin•, David Lee, Automor,lt8rmr of Preklaa, David Michael, A uni/ping 1/&eo, differenlilll equa.lionr. ,over reriu ringr. of lllgorill&mr for dircrde 01'limi1alion Strasburger, Martin Jamea, Fa.miliu of Watkins, John, Power rerier over 11on Nruma.nn regular ringr. problemr. mfflp da.b/e Ada.mr twe linea.r multilltl' Sadagopan, Sowmyanarayanan, Multiple formulu. criteria mGI/&emofical ,rogramming-a KENTUCKY STATISTICS unified inleradive a,rOACI&. UDlvenlty of Kentucky Sneider, Richard Mark, A mdl&otlologp Bhattacharyay, Biswanath, Edimalion (8;2,4,0,0,1,0,1) for optimal urem61J line blllancing. for varping para.mder docwlic difference Wilson, James R., Variance reduction equa.lionr. MATHEMATICS tecAniquu for 1/&e rimulation of queuing Dahm, Paul Frederick, Ertimofion of tile Badawi, Faris, Structurer a.ntl algorill&mr ndvorb. ,ara.mderr of 1/&e multivaria.le linear er­ in rloe/&ulic relllila.lion tl&eor, a.ntl 1/&e rorr in va.ria.blu motlel. rmooiAing ,rob/em. MATHEMATICS Ebrahimi, Nader, Some topic• in relia.bi/­ Patteraon, James C., ill, (z,!l)·divirible Dickerson, Charlea Everett, Solutionr lo illl 1/&eorp. enfltlol"l over commulaliflt ringr. 1/&e Liouville equation 6p dalionarp ,/&ue Saylor, Annie Victoria, Estra.po/a.lion, in infinitelp manp dimenrionr. Kackar, Raghu Nath, Va.riance a.,prosi­ ma.tionr for utimoforr of fisetl a.ntl ra.n­ deferred correction, anti defect correc­ Etheridce, William L., Conformal/' Ifill" dom effect• in mised linear motlelr. tion of dircrde-lime Glllerlr.in metl&otU for metric RiemAnnian manifoltlr. Paraian, Ahmad, Admirrible a.ntl minimu linea.r parabolic problemr. Medhin, Negaah Gabre, NectiiGrJ con­ mullipara.mder utimalion in es,onenlial Yanik, Harry Joe, Projective alge6r41. ditionr for Ol'limal control ,ro61em viti& fami/iu. bountletl dale bJ ,enlliiJ metl&od. STATISTICS Sallas, William Michael, Recurrive misetl Woolford, Samuel Whitefield, II, On a Bernia, Kerry G., Ba.n ulimalion 111111 model ulimofion. doroge motlel. urm,lolic cAi-rquare for tile condrllinl Scott, Mark, Cl&ara.cteriJa.lionr of drong equation motlel. STATISTICS ergotlicilp /or conlinuoUI lime Ma.r/r.ov Craig, Robert James, Tile rim,les rearcl& Albert, James Harry, Ro6ud Baper II· ci&Ainr. in da.lirlical oplimira.lion ,roblemr. limalion. Werner, Neil, ProbGbilirlic antl dalidiclll Jordan, David Charles, On 1/&e Ull of Hsiao, Ping, Some conlribulionr lo gam­ ..,,ct, of ra.ntlom rto,ping. ,rior informolion for ,rediclion. ma-minimu anti empiriclll BAJII relec­ Schwartz, Jeffrey H., o,limalllllocalion tion ,roeetluru. Univenity of Iowa {6;2,4,0,0,0,0,0) of ruourcu lo reduce ,rotluct or proceu Hwang, Jiunn Tson, Im,roving u,on in­ variabililp; a. com,a.riron of rome tlerignr Gdmilli61e edimGiorr in dircrde es,onen­ MATHEMATICS lo ulimale tile lllloealion para.mderr anti tilll/amili u. Pizarro-Geraldo, Antonio, Simila.rilp 1/&e va.riance com,onenll. Sundheim, Richard Allen, AIJIIll'loliclliiJ cla.u11 in 1/&e ring o/3 X 3 mofricu over oplimlll multipGramder requentilll Ba.Jer a. complete dircrde vAluation ring. LOUISIANA regionAl ertimofion procetlurer. Taghva, Sidkazem, Topic• in motlel com­ Louisiana State UDlvenlty, Baton Unlvenlty of Notre Dame pldentll of direct I'OVtrl a.ntl direct Rouge (4;4,0,0,0,0,0,0) protluclr of tl&eorier. {2;2,0,0,0,0,0,0)

MATHEMATICS STATISTICS MATHEMATICS Erdman-Snow, Joanne, Comples rolfi­ Kepner, James Lee, Tlrlr uring tile null Andenon, Mary Jorgenaen, Con11ergence M4nifoltlr of dimenrion two anti tArt~. l&ptJoll&rrir o/6i11a.riGir rpmmdrJ. 1/&eoremr for linear evolution equalionr.

620 Michael, Mark, s;,m..com,_t n6reu of Vopliue, Michael, A dimriViOfllll rlfluc· Tu, Loring W., Vorioliora of HIHigt lfnlt:. ,.,.,,_,. lion .,,_/& to lAc roluliora of pomfll fur• ontl tll.r local Torrlli pro61rm. diff~rerllifll rquiJiiom. Talane Uulvenlt7 Ma1saehusetta lnlltltute of ( 1; 1,0,0,0,0,0, 0) Technology MASSACHUSETTS (24;13,1,1,0,2,0,7) IOIATHBMATICI Pnygocki, Antoni, Be/tar irulicer of Bolton Unlvenlt7 MATHBMATICS ell..r.cterr of Sp(4, q). (6;0,5,1,0,0,0,0) Abbott, John Steele, ill, Long-rll.ort woq interoctionr w .,,oei.tetl imtflllililirr. Unlvenlt7 of Southwelltero MA'l'HBMATICS Aniek, David Jay, A countereamp/r to • Louillana Andenon, Jennifer Jane, A eomporiron conjecture of Serre. (1;1,0,0,0,0,0,0) of rmooth. empiriefll Borer ertimatorr. Bell, Steven Robert, AppliciJiiom of lAc Buoneristiani, John, Pro6116ilitr on Bergman projector in tll.r IAcorr fane· MATHBMATICI AND STATISTICS /uur of retr. tionr of reveral complrs vtuio6/rr. Norwood, Frederick, One-re/.tor hotr. Cupplea, L. Adrienne, Uring rereening Boas, Harold Philip, Kernel junction• llalo to ertim.te • tli,.,, nalural hirtorr rel.tetl to projeetionr onto '~'"" of MARYLAND wll.iell. ir eii.Mging in time. h.olomorphie /unctionr. Deitel, Harvey, Structured rojtwore tkr~el· Branson, Thomas Patrick, Quon· John• Hopldu Unlvenlt7 opment. intJorionee, rprcial rolutionr, ontl Bon.cll. (7;4,1,0,2,0,0,0) Finberg, Naomi, A proporetl rolulion to tll.e monifoltl geometrr. BIOSTATISTICS Brll.renr·Firll.er pro6/em. Chaiken, Seth David, M.tris tree Sibley, Thoma• Quinton, Tll.e tll.eorp of tll.eorrmr ontl tlegree requencr rraliziJiion White, Billy G., A e.,, of dlaical tknffl• 6r rtrongl11 2-eonnectetl tligropll.r. /or control/ell clinical trialr. finite/r otltlitive pro6o6ilitr uring nonrton· tlortl onalrrir. Dorer, David John, Initial regmentr in or­ MATHBMATICAL SCIENCES dinal rrcurrion th.ror11. Harvard Unlvenlt7 Levy, Yonatan Aharon, Inventorr •r•· Duflot, Jeanne, Equivariont eoll.omolon temr viti& intlepentlent rtoe/&Mtie /eflll.. (1 7;3,1,6,0,5,0,2) ontl rmootll. P-toral .ctionr. timer. APPLIED SCIENCES Dunt, Mark Joseph, Donrk.er cl.,ur, McKinney, Jacqueline, Optimal multi· Vopnik.-Ch.ervonenlcir el.,rer, ontl chi· Andenon, Gary, Th.e trGr~~portiJiion pro6· rquoretl tertr of fit viti& rontlom ce//r. product rell.etluling on one moell.ine over • lrm: on opplieotion of linear programming finite ll.orizon. Edelman, Paul Henry, Th.e zeta polpo­ teeh.niquer to ur6on economic motlelling. miol of• portial/11 ortleretl ret. MATHBMATICS Caaanova, Marco A., Tl&e coneurrenc11 Gillick, Laurence Steven, IteriJiir1e el/ip­ Chan, Kenneth, App/ieiJiiom of tll.e kr control pro6/em for tl.to6ore 111rtemr. roitlol trimming. ontl eo6or rpeetral requencer to tll.e Brovn· Cohen, Norman Howard, Source-to· Griffor, Edward Ronald, E-recurritelr Pderron rpedrum. rouree improvement of recurrive pro­ enumeroble tlrgreer. Kotlanky, Mark, Tl&e drueture of projee· gromr. Grimaon, William Erie Leitur, Comput­ tive motlulu. Dayal, Umeshwar, Scll.emo-mopping pro6- ing rupr uring o tll.eorr of h.umon rtereo Meuser, Diane Mae, On tll.e riJiionalitr lrmr in tlatobMe r11rtemr. virion. of certain gener.ting funetiom w re/.tetl Goodman, Nathan, Tll.e power of remi· Kupershmidt, Boris Abram, Geometrr of /oefll zdo/unetiom. joim in tlirtri6utetl tl.to6.,e quer11 procerr· jet 6untller ontl th.e rtructure of Logrongion Ramaroaon, Francois, Elliptic carver viti& ing. ontl Homiltonion /ormalirmr. eontluetorr • rquore of • prime. Karakaahian, Ohannes, Galer/cin mdll.otlr Levin, Leonid A., A general notion of in­ for rome nonlinear equationr in h.ptlrotlr· tleprntlenee of math.emotieal o6;eetr. It. UD1venlt7 of Maryland, College Park nomicr. oppliciJiionr to rome pro6/emr of probo6il· (11;6,0,0,0,5,0,0) Noiseux, Claude F., Rerononce in open it11 th.eora m.tl&emalieal Iogie ontl algo­ MATHBMATICS ll.or6orr. ritll.m tll.eor11. Ploedereder, Erhard 0. J., A remon· Mendosa, Gerardo Alvaro, Brm6ol Alligood, Kathleen, Homological irulicu tie motlelfor tll.e Malrrir w verification ealculur .,,oeiatrtl with. interrecting ontlll.omotoPJ eontinu.tion. of progromr in grneral, higll.er-lruel ion· Logrongionr. Cipra, Barry, Tll.do funetiom w curp fUllfil. Murty, Maruti Ram Pedaprolu, Artin'r /ormr ofweigll.t 3/2. Roberta, Erie Steniua, Software tech,. conjecture w non-obelion nevrr. Evans, Ward Reea, Spectral Malrnr o/ niquer for pr.ctical multi-proeerrorr. Ocone, Daniel Leonard, Topier in non­ eontinuour preutlo-meorurer. Semmelman, Jaequea, M.tll.em.tieal tll.e· linear filtering tll.eorr. Kahn, Steven Marshall, Cll..r.cterirtic orr of nonrtiJiionorr rlip flow for ll.omo­ Paneits, Stephen Mark, Coural drueturrr number o6rtructiom to fi6ering rtruduretl geneour, flireour, ineompruri61e jluitlr. in Lit groupr ontl opplic.tionr to rtobilitr monifoltlr over rurf.cu ontl /0t1-tlimen· of differential equotionr. rional rpll.erer. Stein, Joel, Hopf algebr• rtrueturer on ten­ ror protluetr of Z·motlulu. Peskin, Barbara Rose, Quotient nn­ Kenney, Charles S., Greenhill'• problem guloritirr in ell..~octerirtic p. for non-/ineor/p e/.,tic rotlr. BIOSTATISTICS Pincus, Steven Michael, Strong lowr of Lo1ier, Daniel William, Numrrieal rolu· Berkey, Catherine S. Grooms, Tll.ree Iorge num6err for protluetr of rwom tion of /ineor difference equ.tionr. /ongitutlinal growth. motle/r for prerch.ool motrieer. Mansfield, Arthur W., Newton ontl ehiltlren.· comporiron ontl opplieiJiion. Saka, Michael Esra, Dualitp propertier of tlompetl rell.emu for th.e rolutionr of rin· Levenstein, Marcia Joanne, A/ternotive finite rrt •11rtemr. gular bifurcation equiJiiom. regrurion mdh.otlr in th.e pruenee of mul· Shearer, James Bergheim, Some pro61rmr Ng, Hock, On tl&e e/.,rifieiJiion of unitorr tieo//ineor regreuorr. in eom6inotoricr. eo6ortlirm e/.,rer whiell. uve reprerento­ Winaton, Kenneth Jamea, Arpmptotie MATHBMATICS titer tAM otlmit remi/ree C 00 comp.ct Lie onalrrir oflatticu w tournoment rcorr group oetionr prererving SACX rtrueture. Jamahidian, Farahid, Integral geometrr of urctorr. Picardello, Angelo, Loeal/r eomp.ct p/one eompleser. unimodular groupr wit/& eomp/de/r retlut:· Monash, Curt Alfred, Stocii.Mtie gomu: NoJthealltero Uulvenlt7 i61e regular reprerentiJiion. tll.e miramos tll.eorem. (1;1,0,0,0,0,0,0) Rodrigue1-Acoata, Jeaua, A generalized Morriaon, David Robert, Semirtoble MA'l'HBMATICS fllterniJiive metll.otl for 6ounflorr value tlegeneriJiionr of Enriquu' ontlll.pperellip- Bush, James Preston, On 2·tltngnr .;,. pro6/emr wit/& large nonlinearitier. tie rurf.cer. tll.e rrmmetrie diffrrencr propertJ

621 UDIY~ of Mauaehaaetta, Swartwout, Donald Eugene, A61fract MISSOURI Amherst tlata rlructurrr w querirr: towartl mall&­ (4;0,0,4,0,0,0,0) 'matical analJrir in logical-level tlata-IHue St. Lonls Umenlt)' tlrrign. (2;0,0,0,0,0,1,1) CONPUTIIIR AND INFORMATION SCIBNCZ Wa)'ne State Umenlt)' Kineticr 11t111 op- MATHEMATICS Maulucci, Ruth Anne, (1;0,0,0,0,0,0,1) timalitJ in qur.drupetllocomotioiL Baumeyer, Joel Bernard, Pol,tosrr: 6fllic Nagin, Paul Ale:under, Slutlirr in if1149e MATHEMATICS polrnomial llleorr willlout alp/&116dical rrgmentolion algoritl&mr IHuetl on llir­ Arlinghaua, William Charlea, Tile rlruc­ notation. lurr of minimal grapl&r will& given a6elian togram clurlering anti rriiiHfioiL Bun, Robert Raymond, Newton'• ure of automorp/Urm group. Singer, Andrew Jay, Formal metl&otlr anti Hutltle'• rule in lair tlevelopment of tl&r cal­ l&uman faclorr in 1/&r tlerign of intrraclin Western Mlehlgan Umenlt)' culur. languagrr. (1;o,o,o,o,o,o, 1) Wooda, John Lowe, Pat/& rrlection for Umenlt)' of Missouri, Columbia lflllbolic e:zrculion lflltmr. MATHEMATICS (8;1,5,1,0,1,0,0) Burna, David Peter, UniformfactoriHiion MICHIGAN of grap/&r. MATHEMATICS MINNESOTA Kochhar, Ram P., Scattering from a Mlehlgan State Unlvenlt)' porour 1pllere. (5;3,2,0,0,0,0,0) Umerslt)' of Minnesota, Minneapolis Kuo, Ren-Tai, Vector mearuna61e func­ (15;10,1,0,0,0,0,4) tion• via Stonian IJIAC"· MATHEMATICS BIOMETRY Nolting, David Jerome, Linear multirtep Daepp, Ulrich, Saturation• of an analytic mdllotlr wit/& near-optimal rta6ilitJ. ring over an algrbraicallr clorrtl ftrltl. Burau, Keith, Gtomrtric featurrr of tile vectorcardiogram anti tliagnortic clarrift­ Alan, On llle l&omologp of local STATISTICS Evans, catioiL Collen-Macaular ringr. Koretl, Maria Marton, Eflectr of Fairbank&, Kenneth Brian, Ertimation Bocl&nrr pro­ Naik-Nimbalkar, Uttara, cenroring on parametric utimation in of an esponential poramder from life tell prrlr in Banaei& rpacr~. parametric rurvival analJrir. tlatll. STNMSTICSANDPRO~TY Parvin, Curtis, Evalualion of analrrir Kelly, Robert Patrick, Itlentiftcation pro61emr in 1/&e e:zponentialfamilr. Chow, Shin-Sun, On rtruclure prrrrrving lecllniqurr in euolr.etl rrrponrer rrrearcll. groupr of latin rquarrr anti llleir applica­ Willard, Chriatopher, A rrrtemr frame­ Khedr, Magdy Sayed, Slatirlical inference tionr to dalirlicr. worlr. for management of clinical rerearcll on 1/&e /og-•ero-Poirron dirtributioiL Vandenanden, Alfred, Some rrrullr for tlatll. Stith, Marion Joaeph, Scatter diflf'Aml 1/&r weigllletl empirical proce11 concerning MATHEMATICS for tlala analrrir uring • cl&aracteriHiion properlp. lllr law of tile ilrratetllogarilllm anti weak Gutierres, Angel, A priori V -emmatrr convergence. for tilt rolution of tile Navirr equationr of Weier, Dennia R., On tert• of intlrpentl­ elarlicilp. ence will& life luting applicationr. UDIYenlt)' of Mlehlgan, Ann Arbor J amea Allen, A cl&aracleriHiion (15;11,0,0,0,0,0,4) Hewitt, Umenlt)' of Mlaaouri, Kan1as Cit)' of component lffle ftnilt groupr wlaicll con­ (1;0,0,0,0,1,0,0) MATHEMATICS tain the centralinr of an involution will& Brown, Johnny Earl, Linear e:zlrrmal an SP(2m, q) 2-componenl. MATHEMATICS Hummel, Robert Alexander, Variational pro61emr in llle clan of uniualent func­ of intqralr inequaliliu for tile l&otlograpl& mell&otl in Ting, Bing-Yuan, Evaluation tionr. 11t111 lin.. ftuitl mechanicr. wllore integrantlr are orcillatorJ Ephron, Mark Steven, Intlicatorr of gular. protluclr anti rurjectivr convolution mapr. Kleven, Donald John, A charactrri•• lion of tile regular rimplrs 6y ilr minimal Exoo, Geoffrey Allen, E:zlrrmalatljacencr Waahlngton Umenlt)' volume for • ftzetl widtll. ,.,~~r. (8;3,0,0,0,2,0,3) Kranakia, Evangeloa Koatantinou, Gonek, Steven Mark, Analrtic proprrtirr Recurrive analogurr of large cartlinalr. MATHEMATICS of uta anti L-funclionr. Lastufka, William Stanley, Tigl&l topolog­ Charlea, A nonlinear Chiu, Bo-Yuan, Clarre1 of non-commu­ Hagwood, Robert ical immrrrionr ofrurfacrr in euclitlean renewal 1/&rorem for tlircrrle rantlom vari­ tative ring• will& Detld:intl-tlomain-lilr.e lfi&Ce. propertier lltlll motlulu over non-commu­ a61rr. Marver, Jamea Milton, Gelfantl-Segalrep­ CJclic neofteltlr 11t111 tative valuation ringr. Hau, Derbiau Frank, rr~entationr of a full Hilbert algrbr11. Foged, Lealie Owen, Weak IHuu for topo­ combinatorial tlerignr. Marx, Lawrence Joel, Collen-Macaular logical IJIACII. Kabell, Jerald Allan, lnlrrrrction grapl&r: rings will& monomial gradingr. molecular tile­ rtruclurr anti invarianlr. Sciuora, Richard Howard, Mulliparame­ Hemler, Michael Lee, Tile Morton, Richard Patrick, Tile 2-clarr­ lrr Levp procrrru. orr of HM·"(H"). of• quotlratic number fteltl anti 1/&e group Wong, Dominic Hing Yuen, Conlrolla6il­ SYSTEMS SCIENCE AND APPLIED 2 Pell equation z - t:.JJ2 = -1. ilp for non-linear differential equationr in MATHEMATICS Steven Paul, Knolr, aulomor­ Plotnick, infinite dimenrional 1pacu. Praaad, Krishna V., Decirion 11t111 control p/Urmr, antlllomologr4-rpllrrrr. STATISTICS operation of tile large interconnectetl power Rietl, Kenneth Paul, Completenrrr of Orin, A Baruian 111rlem in emrrgencirr. conrlant-coelficienl conneclionr on R". Johnaon, Wealey metl&otl of tletecting influential 1u6retr of Schlereth, Eugene Paul, On llle Korte­ Ned Ira, Wellklr Ramrer Roaen, tlata in prediction. weg-De Vrier equation: • nonlinear trtiPII­ anti P-poinlr. ullrtsfillerr formation anti an allietl equation. 1 Simen, David Charlea, R actionr on MISSISSIPPI Singh, Jagjit, Normal operating date con­ rnr.nifoltlr. Umenlt)' of Mlsalaalppl trol of tile electric power rrrtem. Simon, Burton E., Equiualent Marlr.ofl­ (1;1,o,o,o,o,o,o) Whang, Keh-wen, Control of power ,,,_ renrwal procerrrr. lemr in emerfencier. Interpolation MATHEMATICS Squirea, William Allan, Patricia Ellen, A uniftetl t/u"'f of Buchanan, Virginia M., Variationr on Wirth, lllrorf for "*" of entire fut~clionr will& linear di/furion in multil.,eretl fMlerialr. growtll contlitionr. Jlleutlonormalitr in Moore "*"·

622 MONTANA Cheu, Daniel S., Structure tlleoreflll for NEW YOU dileomorphilfllr. Montana State UDlvenlty DeMeo, Roy Edward, Co6ordirflll ofllllll­ Adelphi UDlvenlty (1;0,1,o,o,o,o,o) bountlarr linl;r. (4;1,0,0,0,2,0,1) Dummit, David Steven, Tlu ttructure of SCIBNCIIS MATHEMATICS MATHBMATICAL Galoit motlaln. in Zp·ntennrmt. Hinkina, Suaan, u.m, ineompde malei­ Gabai, David, Foliationr Mill genera of Bouacher, Meyer, A rftltlr of IJIGflldogrw­ llarillle 4ata to llim.altaneou/r utimale tAr liw. itr WGIIU. fllllllll. Jeriaon, David Saul, The Dirichlet problem Chen, Chun-Kuen, A tlenritr pro6lsm in for the Kohn Laplacian on the Heiren6rrg combinllloricr. Uulv~ty of Molltana Kunotr, Sharon M., AIJfllplotic 11111alrti• (2;1,0,0,1,0,0,0) group. Kohn, Robert Vita, NN ettimalet for of certain ordinarr linear dilerential equa­ MATHBMATICS tleformatiom in termr of their drain. tiom with tpecial emp/ati.Bir on the equation Caton, Gerald Lee, QUGlitatin analrsi• Nicaa, Andrew John, Intludion U.eoremt z"ll("l(z)- z"'11(z) = 0. of tAr cla11 of nonlinear initial llfllue for groupr of homotopr manifold. lfrac­ Winn, John A., Arrmptotic bounrll for probleflll arising in the field of ,Aar­ turu. cl111ncal Ramrer number~. fii&Coanetict. Rogawaki, Jonathan David, Application• CUNY, Graduate Cellter problem: Helfman, Richard, Arsif11ment of the building to orbital integral•. (5;8,0,0,0,0,0,2) heurirtic approad. STATISTICS MATHEMATICS Kafadar, Karen, Robuet conjid.enee inter­ NEBRASKA Aulicino, Daniel Joseph, Unitr, admis­ vals for the one-Mid-two ramp/e problemr. nble oriented parallelepi,.dl, Mill buer. Silverberg, Arthur Richard, Statillical UDlvenlty of Nebrasb Gorin, Allen, On the volume of tub11. (5;2,2,1,0,0,0,0) motlels for Q-permutatiom. paramderi~td p­ Stroup, Donna Fox, Stopping ralu for Mawyer, Farley, Units in MATHEMATICS AND STATISTICS rtochlllfic Gl'l'rozimation proceduru. adalropmc number jie/d.t. Carroll, John Lester, A ttudr of clo•ed Sullivan, Frances, WreatA prod.ucts of Lis queueing networ.b witA popullllion nee Rutgers Uulverslty, New Brunswlek algtbrti.B. comtraintr. (11;7,2,0,0,0,0,2) Wisniewski, Helena Staaia, Rate of ap- minim• aM Chang, Kun Soo, Scale-invariant metl.lur­ MATHEMATICS proach to nw. tl.bilitr in function 1pacu. Andrilli, Stephen Francia, On the unique­ Cllll'kson College of Teehnolo&f Pakala, Jagannadham V., Commutative "'" of O'Nan'• 1poradic simple group. (2;0,1,0,0,1,0,0) tornon U.eoriu. Stephen Lloyd, Two od.d rta.ndartl Davia, MATHEMATICS AND COMPUTER. SCIBNCB Smith, Norman L., Inequalitier for fune­ form problemr. tiom of order flatitticr under an additive Delotr, Edward Donald, Naturallr reduc­ Kodama, Yuji, Perturbalion and Bltl.bilitr and a multiplicative mod.eL tive metricr and metric• with volume problems ti.Bsociated with nonlinear e~~olu­ Wetsell, David E., Allocation of o6rer- pre~Crlling geotleric IJfllmdrier on NC al­ tion equatiom. 11Aiion• in ranting Mill relection prob­ gebru. Nelligan, John D., Petroleum rt~ourcll Mill relaled in­ homogeneoUB lem• via majori11ation other Ko, Chen-Shung, Broadct~.~ting, graph analrsis in geologicallp equalitifl. homomorphism and chord inter~ectirm. regionr. Mladineo, Regina Hunter, A Grti.BBfiiMI· NEW HAMPSBmE Columbia Uulversity nian for piecewire linear topologr. (8;6,1,0,0,0,0,1) Robbin, Ira L ., Orthogonal invariant dis­ Dartmouth College tributiom in comples dimennon. MATHEMATICAL STATISTICS (8;2,0,0,0,0,0,1) Tutinaa, Bernadette Romualda, Charac­ Du Prees, Johannea Petrua, Occupation MATHEMATICS teri•atiom of Thom,.on's sporadic nmple tlensitiu and. continuitr of locallr Belding, David French, Jac.bon queueing group br the csntralieer of an dement of Gausnan proceBBCB. networ.b with tlenumertl.b/r ma.nr Blatiom. order three. Karatzas, Ioannis, A free bountlarr prob­ controL Devlin, Denis Campau, Some partition Watnick, Richard Mark, Recursive antl lem in stochutic optimal IMoremr and altrll/ilferl on w. conrlructive linear ordering•. Wei, Ching-Zong, Limit 1/aeoremr of to regrer­ Shull, Ernest Randy, Collineatiom of Weiss, Michael C., Re/Aiivdr diophan­ weighted BUmr with application• ~triCB motlel•. projective plan11 of ortler 10. tine predicatu and esistentiallr complete non antl time model• for ariU.mstic. UDlversity of New Hampshire MATHEMATICS (1;0,0,0,0,0,1,0) STATISTICS Borror, Jeffry Alan, On the ti.Bffllplotic Fernhoh, Luisa Turrin, Topicr in mlllhe­ analrns of Griffith'• period. mapping. MATHEMATICS AND COMPUTl!:R SCIBNCE malical dlllittics antl probtl.bilitr U.eorr. Joshi, Ragini L., Gentrali!latiom of DeVecchi, James Martin, The conrtruc- Wang, Yu-Chung Jeff, Analrsi• of ordered Eisemtein'• logarithm. tion of a logical-empirical rtructure of and partiallr ordered clllegorical dala. Rose, Julian, Re/ativdr invariant dittribu­ l:now/tdge for diler•ntial calcalur unng t1. tiom. fMoretical framework bt~.~td upon learning NEW MEXICO Sit, Cho Wei, Topological quotientr of ltierarchr U.eorr and order theorr. graplar. UDiverslty of New Me:s:ieo Valenza, Robert Joseph, Variatiom on NEW JERSEY (4;1,1,0,0,2,0,0) dimenrion BUbgrou,.. MATHEMATICS AND STATISTICS P!lneeton UDlverslty Comell UDlversity (18;11,2,0,0,0,0,0) Barefoot, Curtiss A., Eztremal mazima/ (29;10,2,7,9,1,0,0) unique/r Hamiltonian graplar. MATHEMATICS Chandler, Leon, Separalion of variabler BIOMETRICS Anderson, Greg William, Theta fune­ br tlar rrmmetrr method for recontl order Chang, Suk-Hwan, An altrmati111 morlel ti- antl holomor,mic dilferential forflll linear partial dilerential equations. for d.etermining U.e optimalfertili!ler le111l on compact quotientr of bountled. rrm­ Davia, George James, Numerical 1olution on rice. metric domaim. of a quadralic mtllris equation. Henderson, Harold V., Di!lperlion, plll- Beals, Robert Michael, LP bountltd.ner~ of Huang, Tsung-Dow Tony, Double Bfo­ terned antl rtructured. mlllrict~: lleC certain Fourier integral operalor1. clalltfic integrals. operalorr antl rtlaled. topic1.

623 COMPlJTBR SC!ENCIC New York Unlvenlty Davia, Stephen F., An Adaptive grid finite (3;2,0,0,0,0,0,1) elemenl mel/t.od for initilll-boundorJ vlllac Batea, Joseph Louis, A logic fur curred Jlf'Oblemr. MATHEMATICS EDUCATION Jlf'Of"tlm development. Hamilton, Kenneth George, Analrnt af Brusard, Gillea, Rellllil1i•ed crfptogrtJphf. De Vincenso, Mary Ann, In~emglllion tJCouttic vtJri/Jlionr in the oceon produce4 of tile rei/Ilion between elementMf lllgebrtJ Fortunl!, Steven Jonathan, Topict in br combined environmenllll effectr. ttudtntr' error• in arithmetic ond lllgebrtJ computlllioMI comple%itr. in relected trper of Jlf'Oblemr. OPERATIONS RESEARCH AND STATISTICS Lee, A rubu:ponenlilll tJI. Furat, Merrick Gottschall, Carl, An uominlllion And Aquino, Rodolro, Conlributiom to tile gurithm for trivlll ent grAph iromorphilfn. evlllulllion of the h.ittoriclll importrJnce of unified treatmenl of nonlife inturGnce Hauaer, Carl Howard, Specijiotion And tile innovlllive contribution~ to formllllogic Jlf'Ob/emt. verijiclllion of communicAtion in pt~rllllel bJ Augutlut De Morgan {1806-1871}. Delaney, Nancy Jo K., Roburt procedurn ,ltemr. Rosenfeld, Rochelle Susan, Ce/ertilll for the multivtJrillfe normlll ditlribution. Siegel, Morris Mitchell, Proving proper­ m4p1 tJnd glober Gnd liM catllloguer of tile Obata, Takashi, Algoritlt.mr fur the quad. tier of SNOBOL-4 plllterm. lizteenlh Gnd etJr/y revenleenlh cenluriu. rlllic tJBtignmenl Jlf'Oblem. Wyllie, James Christopher, The com· New York Unlvenity, Courant ple%ity of pMIIIle/ comput11tiom. SUNY at Albany Institute (4;4,0,0,0,0,0,0) (15;7,0,6,0,1,0,1) ldATHEMATICS MATHEMATICS AND STATISTICS COMPUTER SCIENCE ·3eckmann, William Henry, Complettlr De Sou1a, Geraldo Soares, Sp4Ctt furmed Deak, Edith Gail, The trtJm/orma-­ upllerictJ/2 -comp/uer. bg Bpecilll lllomr. tioMI llpprollch to the development fJM Bell, John Bruce, The nonclt.flrtJderilfic verific/Jlion of progromt in o very high/eve/ Leary, Francis Christian, The functiom CtJUchy Jlf'Oblem for time dependent equa-­ ~~nd lt~nguoge. X Xn in generlllized rummobilitg. tiom. Fisher, Joseph A., The optimization of Pearce, Kent, Support pl1iniB ond eztreme Freeland, Mark Steven, AbllrGd Witt horizontlll microcode witlt.in ond beyond point1 for ~euerlll cllllttB of 11Ml,tic June· ringr: lign~~ture~ of GrbitrtJrglevel. boric bloclr.t: on llpp/ication of procertor tiom. Hsiao, Cheng-Tan, The rtochutic time rcheduling with re~ourcer. Roby, Donald, On certtJin m4p1 between evolution of GtJutlitJn intertJCting rptemr. Goldberg, Allen T ., On the comple%ity of SchwtJrz-Bru/t.tJt tptJCtl. Hutton, James Edward, Recurrence Gnd the allliBfit~bility problem. SUNY at Binghamton trGmience of two-dimenlioMI/inetJr birth Loerinc, Beatrice Margaret, Computing (2;1,1,0,0,0,0,0) ~~nd delllh proctBBtl. c/t.romlltic polynomilllt for tpecilll /t~milie~ Meister, James Elliot, On rupercurpidal of graplt.B. MATHEMATICAL SCIENCES reprerentationr of tile mettJplectic group. Meyer, Jeanine, An implement/Ilion for Coppola, Alan Joseph, On p-otlic front· Mon, Kenneth Norman, Homology of the GYVE: fJ /angu4ge for concurrent proceu­ formt~tion groupB. rpecillllinetJr group of the ring of integert ing. Russo, Ralph P., A Btoclt.IJitic opprozim• loclllized tJW41/ from tJ prime. Stolfo, Salvatore Joseph, Jr., Automlllic lion Jlf'Octdure u1ing quantile curvu. dircovery of heurirtica for nondeterminis­ Sevilla, Alicia Norma, On conlinuout tic programt from ttJmple ezecution trtJcta. SUNY at Butralo Gllloir co/t.omologr. (6;3,0,2,0,1,0,0) Sipe, Patricia Lilaine, Root. of the MATHEMATICS c11noniclll bundle of the univertlll Teich­ Belbruno, Edward A., A new regulMiza-­ COMPUTER SCIENCE miiller curve. tion of the rertricted three-body problem Manthey, Michael J., Real-time round Velj an, Darko, Euler m4nifoldr 4nd Stiefel­ with an llpp/ication. ByntheBiB-tJ BofttDtJre microcorm. Whitner homology cltJBrtB. Byrnes, Raymond Albert, Jr., The Riccardi, Gregory A., The independence re/Gtion between rquMe of conlrol tfructuru in tJbrtrllCt program­ Wagner, Catherine Mary, On M11rtin'r complete tpectrlll m11trices. ming rgatemt. conjecture. in 11 rtoclt.IJI­ Dalcher, Amnon, Ettimlllion MATHEMATICS OPERATIONS RESEARCH AND INDUSTRIAL tic model of neurlll 4Ctivity. on ENGINEERING Greene, Robert R., ConBiructive rolu­ Barbanel, Julius B., Ruultr rupercom­ ptJCt cordinlllt. Awoniyi, Samuel, A piecewire-linetJr tion and cht~rfJCterization of 1/t.e inverse rcllltering problem for the one-dimenlionlll Hu, Shou-Chen, The initilll olllue problem /t.omotopy lllgorithm for computing zero• of for tJ non-/ineiJI" infinite tiring. certtJin point-to-ut m11pping1. tJCoullic wtJve equation. Koppel, Moshe, Buer of recurtive/p enu­ Lin, Ferng-Ching, AlgebrtJic propertiu of limit Carmody, David, Control ruler mertJb/e re/lllionr. fitldt with ezponentilll mopt. ~~nd tlleir optimlllity in M11rlr.ov decition Majda, George, Dyn~~miclllly filtered /ine11r Rosenthal, Kimmo Ilari, Arpectr of iten­ Jlf'OCUBtl. multi-tltp melhodt fJM the computGtion of due. Diegert, Carl, The probllbilitr of turvivlll of rmooth tolutiom of osci/1/Jlory Iliff ordi­ SUNY at Stony Brook reduntlllnt tptlemt under tJ 1tlllic loflll. ntJry differentilll equationt. (13;6,0,3, 1,3,0,0) Hsu, Wen-Lian, Efficient lllgorithmt for McKissick, Burnell T ., Generlllion of tome p4Cir.ing tJnd covering Jlf'Oblemr on non-linear temi-groupB ond BrownitJn mo­ APPLIED MATHEMATICS AND STATISTICS grllpiiB. tion. Cheng, Wei Min, Numericlll metlt.fldt for Kannan, Ravindran, The lize of numbert Sylvester, John, A generlllizlllion of the tolving pMtitJI diffmntilll equllliom with. in the llMlglir of certtJin lllgon"thmr. Leroy-SchtJUdtr indez formultJ ond tJn ez· intJdequllle dllltJ. Rosenfeld, Philip, Scheduling policie~ for tJ iatence theorem for the Lichnerowicz equa-­ Sexton, Thomas Raymond, The lingle mllchine withlOtJd dependenl service rtJttl. tion. vehicle m4nyto mony routing ond rchedul­ Snell, Mark, The tJpp/iclllion of regre11ion Weiss, John, A clut of comJif'ttlible ptJrtilll ing problem. methodt to tile initilll trGnlienl problem in difJerentilll equllliom relllled to the incom­ Shraga, Yoaefa, PtJrtJmeter ettimlllion computer rimullllionr. prulible NtJPier-Stolr.es equation. from intJdequllle dlllo. 'l'ierney, Luk~Jon, Limittlt.euremr fur tile Renuelaer Polyteehnle Institute Song, Chipin, Numericlll ro/ution of two ftJilure time of bundler of fiberr under un­ (6;0,2,0,1,3,0,0) poinl 6oundorr olllue difJerenlilll equ• equlll/ OtJd tlt.tJring. tiom. MATHEMATICAL SCIENCES Wong, Thomas, The tlrucfure of lllllion· Brannan, James Richard, A mlllhemllli­ COMPUTER SC!ENCIC IJI"f pl1int procurer, with tJpplicllliom to clll model of fp/Jlilll/r /ocolized neurlll ,,,. Kamin, Samuel Noah, Tile remanlicr of plllm procurer Gnd renewlll procurer. temr. encoprulllled dllltJ tfper.

624 Mabjoub, Ahmed, Analgli1 of rerpome NORTH CAROLINA COMPUTER SCIBNCB lime ill real-lime ''"'""· Frank, Geoffrey Alson, Virtual me_, Subrahmanya.m, Paaupathi Ananta, Dub UDI.veraity s,.tems for cloretl "flplieatin lllltfUIIP in­ (9;5,0,4,0,0,0,0) Towardt a fAeorr of program lf'IIAelil: terprrter~. aufomalirlf implementation~ of .,,,act COMPUTER SCIBNCB OPERA'I'IONS RESEARCH AND IIYliTBM8 ""'" ,,. .. Nau, Dana S., Qualify of play 11errur depfA ANALYSIS MATIIBMATICS of rearcA in f111me fii•Jirlf. Adlakha, Veena Gupta, Strirlf 11M tlop­ Eisenberg, Frank, Spectrum of the rwom Sigmon, Timothy Miller, Performance­ ping rultB for dola collection in queueirig walk on fAe furulamental group. oriented derign models for computer 1111· rimulationr. Gallo, Daniel, Uniforfllillation of Arperel­ Kastner, George, A cost- elfectit~~~~ell liptic rurfaeu. Smith,'""'· Douglas Robert, On IAe com- dudg of infection suneillanee and control Kaplan, Gail, On quori-friGngularifg of putolional complesity of brancA 11M bound progrtJms in U.S. Aorpitalr. commuting pair~ of operators. rearcA rtrategieB. Schultz, Carl Richard, (•, S) in11entorr Lue, Ping-Charng, A111mptotic espanrion von Mayrhauser, Anneliese Katharine, policieB for a 111h.olerale warehoure inllen­ of 1M fraee of the Aeol kernel on generol­ Performance-oriented derign of interac­ fory ryrlem. illed rurfaees of revolution. tive computer Bllrlemr. O'Hare, Scott, Spectral in11ariance for nor­ MATHEMATICS OHIO mal operolors under trace ela11 perturbtJ­ Peter, A recurrion IAeoretic anal11Bi1 Clote, Bowling Green State University tionr. of certain generalillationt of Ram~ey's Taylor, Richard, On fAe subalgebras of theorem and of tile Gale-Stewart IAeorem. (1;0,1,0,0,0,0,0) continuous functiont IJirlf between A(D") Holder, Ernest Jeffrey, On fAe esirtence, MATHEMATICS AND STATISTICS andC(T"). scathrirlf, blo111 up, 11M decar of solutions Kellermeier, John H., TAe empiriclll Syracuse Univenlty to system~ of nonlinear ScArodinger equtJ­ ch.araeteri1tic function and large rample (3;0,0,1,0,1,0,1) tionr. AypotAeri1 teBting. Johnson, Samuel Bishop, A Hegting al­ COMPUTER AND INFORMATION SCIENCE gebra bestiarg: BefiO"'ting esampleB in Case Western Reaei'Ve University Munay, Neil Vincent, Linear and almo,­ non-lfantlardlogic. (5;0,0,0,5,0,0,0) linear melllodt for fAe unification of first Norman, Paul Dennis, A monotone OPERATIONS RESEARCH ordtr esprerrionr. method for a Bl/lfem on nonlinear parabolic differential equationt. Chaudhuri, Asok, Analgtical modelling for MATIIBMATICS planning and budgeting: IJflplication of Christopher, The resol11ent Smith, Lance math.emolical programming in a 11ero base Andrianoft', Steven Keith, A modification for !Ae LIJfllaeitJn on tJ smooth. bounded of NgBirom's meiAod for approsimolirlf plane domain. •flflroaeh.. fAe eigenvaluer and eigenvectors of an in­ Duraiswamy, Nallalya, A management tegral Ofltrator. North Caronna State University, game for produetion-in11entory decirions Schats, James Robert, On tAe cord Raleigh under inflationarr conditions. leaderr of Reed-Muller code~. (7;0,2,0,2,1,0,2) Javad, Shahriar, Multi-echelon inventorr BI/BtefTIII in Aealth. care delivery organizfl­ University of Rochester MATHEMATICS tiom. Moultrie B., Criticality eB­ (13;3,2,5,0,3,0,0) Paulling, John Kovacevic, Antonio, Selection of secon­ timateB for neutron transport in a Blab with. dary kegs 11M indicer for a rlatabare. COMPUTER SCIENCE partiallg reflecting boundarr conditions. Gertner, Dya, Performance evaluation of Quotah, Mohammed, Molh.ematical commuflil:olirlf fi'OCeiiU. OPERATIONS RESEARCH models for food demand in Sautli ArabitJ. of ar­ Lant1, Keith Allen, Uniform interfaetB for Ghoneim, Hussein, Optimal control Kent State UDiversity rillals to a nef111ork of two queues in seriea. tlirtributed rgrtems. (6;5,0,0,0,1,0,0) Rashid, Richard, LIGHTS: a ryrlem for Venkatesan, Meyappan, Production-in­ inttrprdation of mollirlf ligM tlisfll•11'· ventory fllitA equipment replacement. MATHEMATICS Shopiro, Jonathan Edward, A verr h.igA STATISTICS Benander, Alan Charles, Projective con­ in torrion tAeorier. level language 11M OPtimized implementtJ­ Corral, Ada Ray, Repeatability of sptJ­ cepts tion derign for relational databases. tial configuratiom defined br interaction Benander, Barbara Ann, Torti on IAeorr Williams, Graeme John, Program cAecl:­ molrices. and modules of finite lengt/L irlf. Gellatly, Colin, Incorporating futurea DeFranza, James, Norlund mefAodt of summabilitr that miJfl fAe rpaee of ab­ MATHEMATICS pricer in commotlitg models: Ike U.S. broiler aeclor. rolutely convergent. Cox, David Charles, Swp inequaliti11 for Haase, Nickolette, On semiprime ideals in probabilitg tli,ributiont. Ramachandran, Viswanath, TAe economics of farm tractorization in lnditJ. NoeiAerian rings. Ellis, C. Lane, Rice trpe IAeorem~ for n2 Krishna, Lala, Argmptotic rates of conver­ retr. Souza, Geraldo de Silva E., Statistical a pseudo gence for the sllfrlmelric succeBBive over­ King, Walter Paul, Dual rtruclurer in inference in nonlinetJr models: likelihood aJIJiroaeh.. rei~JS~Jtion {SSOR) me!Aod. JBW-algebrar. Rhee, WanSoo, Studies on fAe rate of con- Nogueira, Arnaldo, A111mptotic rolutions University of North Caronna, Chapel vergence in tAe central limit theorem. of quantum llocAatlic differential equtJ­ Hill tionr. (7;0,3,1,3,0,0,0) Ohio State Univenity Roy, Dev Kumar, Linear orderr from (9;3,0,0,0,1,0,5) recurrively enumerable preorderr. BIOSTATISTICS DeLong, Eli1abeth Ray, Estimation of MATHEMATICS Varilly, Joseph, Dilationr of d~~Mmical Al-Jarrah, Radwan A., Error emmoler evolutiom. general parameferr uring progresri11elg truncated U-Bfatistics. for GauB8-Jacobi quadrature .formula 11M STATIS'l'ICS Makuc, Diane M., An anal,.is of two Padi aJIJirosimanfs of Stieltjes BerieB. Begun, Janet M.', Emmolion of relative comples rurvegr to e11aluate dental AealfA Egawa, Yoshimi, Standard components of ritA: in a proJIOrtional M8ardt model. rlatus changes in NoriA CaroliM. trpe M24 and +(8.2). Keater, Nancy, Diagnorir!fW}illirlfCOII­ Verter, Ivan Joel, Early decision 11M IAe Dinitz, Jeffrey H., Lo111er boundt for fAe cumnt 11M related modelr for two-wag ure of Bimple linear rank Blalimcr for ac­ number of pair111iBB orthogonal rymmefric and /#gAer-way layoutr. cumulating survival rlattJ. latin squares.

625 Game•, Richard Alan, TAt pael:i"f profl. Lodwick, Weldon Alexander, Two nu­ van Ros1um, Marijke, Artira'• Cflfljrctwr. lrm /llr ~rate ,ro;rcli'lr geomelrier. merical mrt/aollr for IAe rolulione of o~ STATISTICS Huffman, William P., m, A 111111/aemati­ limlll control ,roblell&l lftt/a com,ulell er­ cal mo4elfor 1/ae rrlaliflidic llpomicr ofo ror 6ourallr uft"f 1/ae tiiUimum principle of Chriatie, Theodore J., Jr., T/ae ue of 'lUll Pontrrogin. /engtu in ,Uient alloeotion rcAemer /llr "'''"' of porlicler. cliniclll trilllr. Leonard, Douglaa A., Semi-6iploner orad STATISTICS ,.,.j.,.metric llenff11. McAllister, Paul R., BSJ~~rimrnt lftre ,. Tarng, Suey-Huey, Bm!Miion of 1/ae Roth, Robert Lyle, Jr., Hall triple ,,_ ror rlllu for lle,eMent F-tertr in two wor ,IIJiullllion tofJJl wlarn liar romplr ir talen non ortlaogonlll ANOVA willaoul intrrGC· ''"" orad commulllli•r Mou/o"f eqonent from olirl contllira"f on u~Mraown amount tione. 3IOIIJII. of llu,licalion. Valentini, Robert Charle1, Weierrfl"lllr Shanmugam, Ramalingam, On ,rofl. ,ointr llllll oulomorp/airll&l of lllgr6roic Unlvenity of Oregon A6ilit, dirlri6utiom invollli"f liar Stirli"f function firlllr. (5;4,0,0,0,1,0,0) numbrrr. Wein, Alfred R., T/ar lrorl ,rime ialll MATIIBMATICS Unlvenity ol Pennl)'lvania lftt/a ,rrrcribell llrcom,onlion 6r/aollior. (4;4,0,0,0,0,0,0) Alvi1, Dean Leland, Dualit, onll ilr ·~ Ohio Unlvenity plicotionr to 1/ae claorocler 1/aeor, of jinile MATIIBMATICS (1;1,o,o,o,o,o,o) Lie grou,r. L 2 -coAomolllff Alward, Herbert Lewi•, Stllllllorll rub· DeBaun, David Richard, MATIIBMATICS grou,r oft,, o-(8, 2). of non-com'"' rurfACu. of metricr Grabner, Gary Clem, A rlullr ofto,ologi­ Erick1on, Roger P ., Di11rcliom of finite DeTurck, Dennis M., Bsirfrnce clll ''*" /aollirlf boeer o/ru6in/irale ron.!: groupr onll 1/arir urocilllell co11rring lftt/a ,rercri6ell Ricci teneorr: /oclll 1/ar~~r,. onll relotrll IIIJiic1. grou,r, ,ro;ectorr OM normllli11rr. Schack, Samuel D., On 1/ae aformolion of Vahidi-Aal, Mohammad Quasaem, Firrt· on algebrA /aomomorp/airm. OKLAHOMA purage ,ercolotion on t/ae ample cu6ic /Ill· Schmidt, Frank Whitney, On integer rr· lice. qurncu not contAirli"f orit/amelic progrer­ Oklahoma State Unlvenity Zwick, Daniel Steven, Weal Tclaeb,.laeff rione. (8;6,1,0,1,0,0,0) ''"" oM generalinll conves /unctiom. Unlvenity ol Pittsburgh MATIIBMATICS (4;2,2,0,0,0,0,0) PENNSYLVANIA Bell, Joan Eliubeth Pal•meier, Tlar lle­ MATHBMATICS AND STATISTICS vriiiJimenl of normlll /unctione. CIU'Degie-Mellon Unlvenity Gee, Fannie Ruth, A c/aorGCterUotion of• Fariabi, Said, Sturmion 1/arorr /or nonrel/· (3;0,1,0,0,2,0,0) c/orr of Lagrongion groupr. olljoint ""'"" oM o clo11 of Nth orller Griffith, William S., Multirlole reliaWifr equolione. MATIIBMATICS mo4elr llllll rome estemiom on A ura'lflri. Greenhaw, Richard Morton, Jr., Cui Murphy, Lea France•, Minimillotion of llle rlaock mo4el. teclartiquu in integer linear ,rogrommirlf. work oM rlrur in linear llircoelorticit,. Ismail, Mohammad, Genrrllli.rotionr of Murdock, Stephen R., A recent coun­ Yatomi, Chikayoshi, On 1/ae llynomic com'"'"'" onll cardinlll inPoriance of tereH~~&ple in Bonocla rpoce 1/aeorr. enern releore rille in rlorlic crock pro,o­ Salasar, Jorge Antonio, Sturmion 1/aeorr glllion. Tan,''""· Suan-Boon, Muimum lik.e/illoo4 ,._ rrr· onll periodic rolulione of differrnlilll STATISTICS limotion in AUtoregrerrive ,rocuru • mi•ring o6rervotionr. Sedory,''""· Stephen Andrew, Dilliri6ilitr in Pei, Gabriel, A•rm,totic llirlri6utionr of M-ertimlllor1 in non-rtllllllorll coru. 3-moni/o/11 groupr. RHODE ISLAND Ward, Phillip Ray, Fiberi"fr of rplaerer br Pennsylvania State Unlvenity ,,Aeru. (7;5,2,0,0,0,0,0) Brown University STATISTICS MATIIBMATICS (17;12,1,0,0,3,0,1) Chi, Albert Yu-Ming, T/ae Borerion Chein, Joaeph E. Z., An o4ll ,erfect num­ APPLIED MATIIBMATICS onlllrnr of rfructural CM"fl in linear ber /au Ill /roll 8 ,rime foci orr. Richard Michae~ TAt probdilit' mo4elr. Bates, Herring, John Roy, Tlar 1Aco6i equotion meuurr of ""'"'/arrer in o GAUrnan left invAriont metricr on Lie groupr. Unlvenity ol Oklahoma for Hilbert rpoce IliA stoclaulic integralr. (3;2,0,0,0,0, 1,0) Kadell, Kevin, Genrrali111lionr ofboftc "•· Belbas, Stavros Apostol, StAbilit' of pergeometric rerier. infinite dimemionlll rloc/aorlic ""'""· MATIIBMATICB Lang, Sheau-Dong, LineAr ina,enance Bienenstock, Elie Lucien, A 1/arorr of M· Curley, Robert Dean, T/ae effect of••rr· of rome c,clotomic unitr. ve/IIJiment of neuronlll re/ectillit,. i"f ,ro,~~rtione of ,onti11e OM negotive STATISTICS Chow, Yun-shyong, Brtimotion of con/or­ inetoncu on rfullent mirinter,retotion of mill _,pi,., •. rtotirticlll A,otlarnr luling. Cheng, Kuo-Sheuan, On •eighlell /eArl rqUArer ronA: utimlllu. Lyons, William Kimbel, TAr angle COI'I­ Moore, Jeanna Beth, Clunjicotion of 1/ae ,,IIIIlion IAfll o/llircontinuour mediA. normlll rubgroupr of GL,.(R). King, Terry Lee, SAmple rize lletermino­ tionr /or rome reliA6ilitr pro6/emr. Massatt, Paul Darrell, PriiJiertiu of con­ Tan, Richard Beng-Tok, Brauer grou,, of anring ma,, llllll llirripotiPe rrrlemr. H-dimflllule lllge6ru llllll lruncotell ,ower Shoemaker, Lewia Howard, Ro6urt er­ 1/ar one-rAm,le rcale Michaud, Marion Catharine, Numerical reriu Ho,f lllgebru. tillllller onll tulr for mo4el fllitla A,licAtionr to vori~Jr~Ce com­ rimulotion of rrrrrvoirr. ,onent moall. Mirie, Rid a Mostafa, Collinone of rolilll'f OREGON IIA VII. Temple Unlvenity Rosen, Irwin Gary, A dircrrle o,rosimo­ Ore1on State Unlvenity (6;3,3,0,0,0,0,0) lion /rAmrfllork./or /aerrditarr rrrlemr. (3;2,1,0,0,0,0,0) MATIIBMATICS Turyn, Lawrence, Sturm-Liouville ,ro6- MATIIBMATICS Ayoub, Ayoub, On 1/ae /unllomental urat1 lemr lftt/a revrral por~~mrlerr. Zamani Kashani, Nader Gholi, Kemtl Kim, Jong-Chul, /lmbelllli"f• of Lorwrat. of ,rime crclotomic jie/111. function A,roocA to liar /rut rquoru iM mllllifolllr ro/utionr of liar II'A/em­ Burns, John Buchanan, Interpolotion 6r 6r /irate element met/aod.. bertion equotione. monotone cu6ic rp/iraer.

626 IIIIA'l'IIBMNriCB TEXAS Graham, George Erwin, Mtanifa~U ~ Andenon, Stephen Lynn, Green'• furu:­ generali•etl 6ountlarr 111111 tliJierenlil.l6/e North Tens State UDivenit)' fionr, Jennn IIUIIIurll, lind 6ountletl jtoint umigrou,.. enlulllionr. (1;1,0,0,0,0,0,0) Neha, Robert M., Generalizetl retlucetl Damiano, David Burritt, We6r, de/ian MA'I'IIIIlMATICS rnnologr 111111 tlualitr. equafionr, 111111 cluarruterirfic cltUIII. Simrin, Harry S., Me111Ura6/e n/ection Peres, Dorothy Brewerton, Clorure OJter· filion• on multip/iclllille l.tficu. Hansen, Johan P ., A connedetlnen theoremr for jtGrtitionr of Polirla ''"" theorem for flalmorNfoltlr Mtl GrlllriJUUt­ into G 6 equivalence ciGIIII. UDivenit)' of Texas, Arlington niMII 111111 ringuiGritiu of morjt/lirmr to pm, Rlee Unlvenlt)' (3;0,1,0,0,2,0,0) (3;1,2,0,0,0,0,0) Lasarafeld, Robert Kendall, Brwachetl MA'I'IIIIlMATICB covrringr of l"oiedifle ''"'· MATHEMATICAL SC!BNCBII Cheng, Wen-Hsiu, Crnnputational mdla­ McNertney, Louise V., One-l"""mder Nesamea, Donna Marie, Srnne rerultr for otlr of 171rtem itlentificlllion Gntl J'Gramder f•miliu of rurftull witA conrtlll'lt curva.­ utimating 6ivari•te tlenritier uring kernel, edimation. ture in Lorenb 3-ll'fUe. ortlaogtmal uriu •ntl prnalintllikeli/aootl Hallmark, Jamea Carl, PMamder ertima.­ Mitchell, Kevin John, Foltlingr 111111 procetlurer. tion in compartmental ryrlemr. crimjtingr of alge6rGic vGridier. Smith, Melvyn Lee, Survivorr/lip motlelr Radhakrishna, Atur V., Tlae Gpp/iclllion for usually UDivenit)' of Rhode Island tr.nrmirrible tlin1.1111. of generalizetl group invene to tlircrde (1;0,0,0,0,1,0,0) MATHEMATICS finite Markov claainr.

IIIIA'I'IIIIllliiATICS Farria, Mark Kelling, Egorov'r tAeorem Unlvenit)' of Texas, Austin for • tliJfradive 6ountl4rr problem. (4;3,0,0,0,1,0,0) Leva11eur, Kenneth Maurice, Bert Gfi­ J"O:r.imation wit/a rl'l'ed to two objectiver. Southern Methodist UDivenit)' MATHEMATICS (6;0,3,1,2,0,0,0) SOUTH CAROLINA DiBenedetto, Emmanuele, Implicit de­ COMPUTER SCIENCE gener.te evolution equGtionr in Hilbert Clemson UDivenit)' Heller, Robert Wayne, A rtatrment rptull. (3;0,2,0,0,0,0,1) oriented dGfG/lfllll proce110r. Hunt, Walker Eugene, Unique Jteriodic ro/ulionr of• ciGit of tliJferentialequlllionr OPERATIONS RESEARCH IIIIA'I'IIIIlMATICAL SC!BNCBII .nd com,orite 1olutionr of a ryttem of par­ Allan, Robert Boyd, On tlrnninlllion 111111 Helgason, Richard Vernon, A L"f'Gngian tial diJ!erenlial equGtionr. re/ulllion Gpproac/a to t!ae generali~edfisetl rome re/Gtrtl tojticr in ''"'" tAeory. Krause, Gary Alan, SmootA group actionr Fillkeaux, Charles David, Nry rmootla­ cluarge multicommotlitr problem. of prime ortler antl fisetl point retr. '" "' prejtroce~rorr for o6tGining roburt Kim, Sung Shick, M/M/S queueing •r•· Whittington, Keith Edwin, Prime tlivi­ emm.tu of ARMA pGrGmderr. tem v/arre customer• tlrm.nd multiple rorr antl t!ae altitutleformul& Hill, Hoke Smith, Jr., A Monte CMio rertllr ure. dully of AR( 1) utim.torr untler nveral STATISTICS UTAH JterformGru:e criteri11. Chou, Youn-Min, Some rcrnning J"OCe­ tlurn 6G~ed on data/rom a Binglr trunc.tetl UDivenit)' of Utah TENNESSEE bivariGte normal tlilfri6ution. (4;3,0,0,0,0,0,1) Haaa, Roy W., Selection procedurer uring Memphis State UDivenit)' MATHEMATICS uveral screening variab/er untlrr tvo-Bitled (4;3,1,0,0,0,0,0) rpecification limitr. Herron, Gary Joseph, Triangular lll'ld mul­ IIIIA'I'IIIIllliiATICAL SCIENCBII Hua, Tauahung Auguatin, Estenrionr of tiBitlrtl pate/a rclaemer. Cheng, Song-Chow, VGriGnt:e comJtonent inference J"OCetlurer for biGied ertim•torr. Montejano Peimbert, Luia, {J-Iaomoton telling of un6a1Gnt:etl n11tetl tlerignr untler equivalencer IaGue a-croll 11ctionr. Texas A and M UDiversit)' Morley, David John, On tlae convergence normal 1111tl non-normal uni11erru. (7;2,5,0,0,0,0,0) Parrott, Mary E., Convergeru:e of ralu­ of a Neflllon-lik.e metlaotl in the appro:r.ima.­ tionr of furu:tional tliJierential equation• MATHEMATICS tion of clo~etl conves rurfacer. wit/a infinite tlel•y. Su, Lo-Yung, Bert /ocalai'I"O:r.imation. Ward, Michael Bryce, Solvabilitr offru­ Powers, R. Glenn, Some rnultr coru:ern­ Zeller, Mike, Centralinr near ringr on torizable groupr. ing ith Ramrer num6en. infinite grou,.. VIRGINIA Robinson, James E., B•nac/a IJ'IUe r/li/f STATISTICS IIJIIrGtorr. Bowen, William Michael, Masimum uDlversit)' or VIrginia UDI.venit)' of Tennessee like/i/aootl ertimlllion for the "Law of tAe (6;4,0,0,2,0,0,0) (3;3,0,0,0,0,0,0) Minimum•. Dunn, Charles Lealie, Combinatoric APPLIED MATHEMATICS AND COMPUTBR MA'I'IIIIllliiATICS SCIENCE cl~.~rrificGtion of multivari.te normal o6- Cripps, Alfred, Green'• tlaeorier lind cor:z­ urllation fllctorr. Carpenter, William Alfred, A jtrobdi/­ tenrionr. Eubank, Randall Lester, A denrity­ ilfic I.IIBIBtment of Mglafllay Gir qualit11 im­ Lewia, Ruth Ann, P-l.ltlic number ryrtemr qu~~r~tilefuru:tionappratula to chooBing or­ ptutl. for '"or-/rn computation. der rtGtilficr for the ertimGtion ofloc.tion Kim, Kwang Woong, Vector criterion Preston, Donald Krisa, A ltutlr of l"otlud .nd rcale pGramders. Markov tlecirion procener. tlrcom,oritionr of tojtological manifoltlr. Guy, P au! William, A rmall rample tAeorr MATHEMATICS for J'Orf stratification. Vanderbilt UDivenit)' Hardin, Clyde Durham, Jr., Lp irome­ (2;2,0,0,0,0,0,0) LaRiccia, Vincent N., A family of mini­ mum quantile tlirtlll'lce utim.torr. trier .nd rt1.161e proceuer. IIIIA'I'IIIIlMATICB Newhart, Donald William, Information UDiverslt)' of Houston rdr in quadratic ruidue cotlu. Dean, Arnold Andrew, Stability of com­ (4;3,1,0,0,0,0,0) jti.ICtnerr of reraiP~ntr 111111 of dronglr con­ Steelman, John Henry, Cobortlirm of tinuour nmigroupr. MATHEMATICS mGnifoltlr with two rtructures. Johnston, Katherine Gay, Congruence Baau, Rekha, EJ!ect of motlel 'l'ecificlllion Voas, Charles Howard, Toep/ib operatorr l.tficer of Reer m.tris nmigroupr. in p.ttern c/urificlllion. .nd univalent functionr.

627 V1rlbda Po)fteelmle lnatltute and Huynh, Hung Thiet, Rtflllaritr IINl Tonnenen, Lowell Hovden, MH~~~rtmrnt State U nlvent.tr 6ountlllt'J value JlroblefM for • cltUI of uf the /eoelr ofattllinment 6r co/lrre mat/t,. (5;0,4,0,0,1,0,0) h,oe//iptic ucontl order OJieratorr. tmaticr rtutlentr of the concept "vMillble". Klein, Vivian Susan, Beullior ofl&olomor­ Vance, Jamea Thomaa, Jr., V'-6oun4- MATHEMATICS pl&ic functi onr at generalirlf ru6mlltlifoltlr ednm of the multiple Hilbert lrGnlform Shoukry, Ha1em, A rtutlr of lwirtirlf of tile bountlllt'J. alo"f 4 rurfa.:r. lfPt N fl'llfliltJliOfUII fie/tlr ratirffirlf tl&e Kroon, John David, Equiringul4rilr IINl Weinberg, David A., Si,.,WM inte,.lll va.:uum Eindtin equalionr. the NtUII blowing-uJI Jlrocut. OJierlllorr Glrociated to 4pprosimGlelr llomogenrour curvet. STATISTICS Meaney, Christopher, Localilalion IINl uniquenur ofiJIIIerical illll'monic tSJ)Gn­ Yuater, Thomas R., Orbit rizer untler Binkley, Doris Ann, Tl&t perform~~t~ct rionr. 4Ufomorphirm utionr in finite fi'OUpt. of Huber'• M-utimatorr of rtfl'trlion O'Halloran, Joyce, Werl modulu IINlll&t STATISTICS coef/icienlr in tluignetl t%J1trimentr untler collomologr of the tpetiallintlll' fi'OUJI. rome non-rtantl4rtl contlilionr. Skrien, Dale John, Interval gr4pl&r, cl&ro­ Bailey, Steven P., Stutliu in inferential Deaton, Michael Lee, Tilt c4ural tJnalrrir nological ortleri"ft 4ntl re/atetl matterr. tecllniquer for motlel builtling. of mulliJI/e lime uriu: 4 frequencr Chen, Evan Eva, BGJU requential ertim• tloiMin 4JIJI'Oa<:l& Uling fi'OUJI tlt/4y. Washington State UnlvenJ.tr lion procetlurer for life terting problemt. Guyton, Deborah A., A r4ntlom Jllll'4mt­ (3;0, 1,0,0,1, 1,0) Fortney, William Gordon, B4rrri4n ler 4JIJiroa.:/& lo motle!irlf 4ntlforec4rtirlf coefficient /ine4r MATHEMATICS inference in r4ntlom time uriu. modelr. Wu, Huan-Ter, Motlijietl Jlrinci,tJJ com­ Johnson, Kenneth Allen, Tile evolution of Grupe, Michael R., Hidden periodic line Jionentr in regrurion. the integral. 4Uiorefl'errif1e-mollirlf 4tler4ge mode/r in Notestine, Ronald Douglas, A nonlint4r time reriet tlGl11. r14bi/itp 4nalrrir ofll&e s olitlificali on of 4 WASHINGTON Hsieh, Fang-Yuh, Mullirtatr rurllival JIUre rublf4nce. Malrrir. Unlvenlty of Waahlngton Woo, Jung-Soo, J4cknife utimatu of Langeland, Thore, Tertt for dependence prob4bilitier in rmlll/ B4mplu (22;9,7,5,0,0,0, 1) rigllt-tllil in multivlll'i4te obrerualion1. from 4 g4mm4 tJidribution. BIOMATHEMATICS Unlvenlty of Wlseonsln, Milwaukee Butler, William John, CltUrijicalion Jlro­ WISCONSIN (1;1,o,o,o,o,o,o) cetluru for Jlo/rc/&olomour JlretJiclor vlll'i- MATHEMATICAL SCIENCES 116lu on ort/&ogonalfunclionr. UnlvenJ.tr of Wheonsln, Madlson (27;16,6,0,0,3,2,0) Kosier, Karl Andrew, V-ringt, QI-rin11 Jo, A rlutlr of 1/&e Friedlander, Lindy tJnd rtrong/y prime moduler. rlalirlical JlrOJiertiu of ralio V4ri4blu. MATHEMATICS Lathrop, Mark Gregory, Tl&e re/i4bi/ilr Arratia, Richard Alej andra, Colllucirlf WYOMING of pedigreu 4ntl 1/&e rlatirtical Malrrir of BrownitJn motionr on tile line. Jlo/rgenic tlat11 Compton, Kevin Jay, Applicalionr of logic UnlvenJ.tr of Wyoming McDonald, John William, Ertimlllirlf tl&e to finite combinGloricr. (4;1,3,0,0,0,0,0} number of occurrencu untler Jl4rlialtUcer­ Garity, Dennis Joaeph, General Jlontion MATHEMATICS lllinment. JI'Opertiu of homologp m4nifoldr. McFarland, Bentson Hayes, Ertimalion Haslach, Henry Wehrman, Jr., Two Simoson, Andrew James, DecomporGbil­ tJntl luting in t/&e mirring Jlrob/em. homological tecllniquu: tile Aoo-tlleorr itp 4ntl dual OJIIimizalion BtJna<:l& IJI4Cel. Roberson, Paula Karen, Dirtributional t~nd free reto/utionr for RPT complesu. STATISTICS ~~t~tl roburtnen JlroblefM in time-rp4Ct dir­ Jones, Christopher K.R. T., Spllerical/p Chen, Elisabeth Y., Slalirtical tJirlribu­ etUt c/urtering. rpmmelric W4VU of 4 rea.:tion-diffurion tion of V4Ve lleigllt• 4ntl ptriotlr for llur­ Schreiner, Donald Edmond, Jr., equation. rictJne V4ver. Generalizetl r4nA: tutr for ure with rigllt Kalman, Daniel S., Proceuu of re4ding Mardekian, Jack, Plll'allel fla.t• fra.:tionr cenroretl tlat4 untler general Lellmt~nn mtJtllemGlical esporilion. 3k f4ctorial. motle/r. for tile Kane, Jonathan Michael, Unit4ri/r in­ Urn, Jung-Koog, PMalltl fla,tr rtMcll COMPUT&R SCIENCE VIII'i4nt tubalgebr41 of C(S2n-1). derignr for tile 3" ftJCtoriaJ. Philip, SrnttJ.Z 4ntl Frank, Paul Douglan, Bountled nontlder­ Kierstead, David rem4nficr in lligller-trpe recurrion lheorr. tninirm 4ntl tile p4rallel Jllll'nrlf of contu;t­ CANADA free /1J.r1fu4ger. Lee, George Su-An, Some combinGlorial ruultr on Stone IJIIICU. Jette, Chistina L., Derign tlirectetl Jlro­ Carleton Unlver<y rrsm imfi'OIIemtnll. Lin, Kun-Chou, Contribulionr to Jltrilfal­ (1;0,0,0,1,0,0,0) tic trtJnsport fi'Oblemr. Lewis, Brian Thomas, Sequential con­ MATHEMATICS AND STATISTICS Moa.k, Daniel S., Tile q-g4mm4functionr trol rtructure 4blfr4cli ont for progrtJm­ Cheng, Shuen-Fong, Optimal m4Mge­ ming /4ngU4get. tJnd q-L4guerre pol,nomialr. Moeckel, Richard Barry, Orbitt neGr ment of renevl&ble rerourcu, erpeciallr in Petenon, Gary Lynn, Tile complesitr of firllerier. Jllll'alle/ algoritllmr. triple collin on in tile tlaree-botlp fi'Oblem. Nestlerode, William Gary, L2 ertimGler Dalhousie UnlvenJ.tr MATHEMATICS for singu/4r integralr 4ntl mtJ.simal func­ (2;2,0,0,0,0,0,0) Cameron, Edna Jane, Tilt number of tionr GBroci4fttl villi llighlr monotone function• defining complez 4nlllytic utr. curvet. MATHEMATICS Berman, Francine D., Srntutic 4ntl Painter, Jeffrey Farrar, Connection at Ong, Sing-Cheong, OperGlor algebrGI 4ntl tem4nlic rtructure in Jlroporitional clore quGrters to generalized turnirlf inu4ri tJnt operGl or rGnger. dp4mic logic. pointt. Rai, Rajandra Komal, Orth.ogonaJ com­ Cox, Dennis Dean, Normalized Browni4n Parker, Jeffrey Daniels, 4-tJimenriontJI G­ pletions of reduced 4ntl remiprime rirlfl. motion on B~~t~a.:h IJIIICU. mtJnifoldr wil/13-tJimenn'onal orbitr. MeGill Unlvenlty Fitspatrick, Simon Peter, Tile Reid, Russell MacKay, Some control­ (2;2,0,0,0,0,0,0) differenti4bilitr of dirttJnce funclionr 4ntl /4bilily tJntl t14biliz4bililr prOJiertier of the GSP in B4n4C/11J14Cer. /ine4r water wGuer. MATHEMATICS Heaton, John Patrick, Sleenrotl OJier• Ron, Jeffrey A., Some fi'Oblemt in com­ Rowley, Brian, Spectral Gftalrri• of tionr on -nifoltlr. binGlorial mlllriz 1/leorr. OJierGlor po/rnomialr.

628 Singman, David Howard, Bsceptionol 1el1 UnlvenJ.tr of Toronto Peacock, John Kent, Dillributed rimula­ in 11 product of hArmonic IJIIICCI and 11p- (12;3,0,4,5,0,0,0) lion uting 4 network of proce,orr. plicllliont. Ramire1 Inurrigarro, Raul Javier, COMPUTER SCIENCE Efficient algoritllmt for relecnng efficient UnlvenJ.tr MeMallter Chang, Ernest Jen-Hao, Decentralized al­ llAI4 stor~~ge rtructure~. (3;3,0,0,0,0,0,0) gorithm~ in llidributed lfrtemt. Santoro, Nicola, Efficient Abrtr~~et im­ MATHEMATICAL SCIENCES Colbourn, Charles Joseph, Tile com­ plement41iom for re/4lional lllll4 llruc­ Bradley, John Scott, Weigl&ted norm ple:zitr of gr4pll iromorpllirm 4nd relAted turer. inequalitiu and llomogeneout IJIIICCI. problemB. Suwanda, Hendra, Implicit d414 rtructure~ Royle, John C., Prime ideal• in n·ngr tllli•• Tripathi, Satish Kumar, On 4ppro:r.im4te for the dictionMIJ pro6/em. fying polrnomial identitier. •olution tecllniquer for queueing network Therien, Denis, C/4Biijic4fion of regul~~r Tiller, John Albert, Continuout llllticu models of computer rydem1. langu~~gtB by congruenctB. John Konstantine, Afr4mework and conve:zitr theory. Tsotaos, PURE MATHEMATICS for virual monon under Blanding. Memorial UnlvenJ.tr of Ralston, Chiu-Tsen, A clulr~~eterintion of Newfoundland INDUSTRIAL ENGINEERING n-dimenrional Lie geometry. pro­ (1;1,0,0,0,0,0,0) Buie, Randolph Neil, Continuour STATISTICS gr4mming. MATHEMATICS AND STATISTICS Goulden, Ian Peter, Combin4forial de­ Jenkins, Alan Lawrence, Optimal/oclllion Morgan, Christopher C. A., F-jibrlllion• comporitionr in th.e theory of algebrAic of f~~eilitiu for recrcling municipal rolid and groupr of gauge tramforrMiiom. enumer4tion. wade in routllern Ont4n·o. Wild, Christopher, Problemr in ertim• Queen's UnlvenJ.tr Lieberman, Robert William, Sclleduling tion witll m4lch.edllllle~. (1;0,0,0,0,1,0,0) under interference comtraintr. Shanthikumar, Jeyaveerasingam George, Univenity of Western Ontario MATHEMATICS AND STATISTICS ApprosirMie queueing modelr of dyn4mic (7;1,0,0,0,3,0,3) C., Mee~~uru of informG­ Cartledge, John job rllopr. tion for continuour time unrMiion prob­ APPLIED MATHEMATICS Thomas, Sidney Fih-Ralph, A th.eory of lem•. Sauro Elio, Incomprurible flow sem~~ntic1 11nd potlible inference witll ap­ C amiletti, Simon Fraser Unlvenlty pliclllion to decilion analyrir. in 11 divided chAnnel. (3;2,0,0,0,0,0, 1) Dewey, Raymond James, Some 111pectr of MATHEMATICS non-rt4fion~~ry turbulent dirperlion. MATHEMATICS Chan, Beda S. C., Simi/4ritr and unicel­ Forsyth, Peter Allan, Jr., Tecllnique~for Cooper, Glen Runell, Firrt-orller mallei lularity of triangular oper4torr. tile solution of electrocllemical m~~ellim"ng llleory. Davies, Peter C., Small H4ire IJIIICCI 4nd and electroforming. Dukarm, James, AlgebrAic and locallr al­ u-denre p~~rtial orderr. Ramadurai, Kumbakonam S., Inequali­ gebrAic functor~. Moore, Eric J. H., LocalizAtion and 4n tier and boundr for nucleon-nucleon •c4l• Varma, Badri, Some decompolition prob- utended Brown reprerentllbility theorem tering. lem• for complete grap/11. in 4/lomotopy cAtegory. Robinson, John Llewelyn, Higll energr /ow PT ringle inc/ulive muon-proton rc4f­ Unlvenlti de Montrial University of Waterloo tering. (3;2,0,0,0,1,0,0) (20;1, 1, 9,0,2,0,7) Tailor, Anilkumav Bhukhanbhai, Equi­ MATJitMATIQUES ET STATISTIQtiE ~~nd rtability analylir of a APPLIED MATHEMATICS librium line4r Birts, Alain, NouveGUs invariant• pour ler claBB of ro/utiom of4 tllin ring mode/for 11 Unitarr group 4JI­ Abelienr ram torrion de rang Ileus Boyle, Michael James, rt4tion4ry field electron ring ~~eceleruor. grouper correlation et llflplicllliom d lliverB problimu de llruc­ pro4cll to tile m~~ny-electron MATHEMATICS turu. problem. Green function Cerdro Gauthier, Claude, Sur let iqullliom in­ Jerrard, Robert James, Roberts, Kenneth Lee, Strong virtual lurf4ce tf4fer. integral•. variantu rout le groupe de de Sitter. tileory of summllbility factorr for Gauthier, Gilles, La tlliorie du ritr~~et1 COMBINATORICS AND OPTIMIZATION U nlvenity of Windsor et le tlliorime du point• AI'Jiro:zimlllif• Ball, Andrew Harvie, Tile conrtruction of (1;0,1,0,0,0,0,0) jisu de Leftclletz. word lengtll. comm4-free codu witll odll MATHEMATICS UnlvenJ.tr of Alberta Carter, Michael Walter, Integer qullllr4lic Wong, Kai Sang, Opnmiz4fion problem~ programming: 11 continuour approACh. (5;2,0,3,0,0,0,0) in Bt4tisticr. Thomas Frederick, A ru­ COMPUTING SCIENCE Coleman, per/inear/y convergent penalty function 0., Tile comple:zitr of Achugbue, James method. tome deterministic tclleduling problemr. Koch, Etan, R4mijic4fions of m4lclling Sreekaanth S., ConH·rtency IIIJICcfr Isloor, tlleory. ofdilfributedlllllabarel. Lins, Sostenes Luis Soares, Gr4ph.r of Willoner, Robert G., On tile delign of a m4p1. parallel arithmetic unit. Simeone, Bruno, Qu41lr4fic 0 - 1 progr4m­ MATHEMATICS ming, Boolean function• and gr4piiB. Chapin, Jared, Bstenlion of tile Berrr­ SCIENCE Eueen utirMie to converging uquence1 COMPUTER Erratum of AbBorbed r4ndom walkB. Carey, Thomas Todd, Re~~eh.Ability in den- restricted ciAIICI of Petri netr. Hardy, George, On tile Scllnirelmann CORRECTION: On line 4 of the lity of tile k-free 4nd (k, r)-free integer~. Cargill, Thomas Alan, A view of rource test for lliverrely configurllble softw4re. Editor's Note, these Notices, Unlvenl.tr of British Columbia de Carvalho, Carlos Alberto Picanco, vol. 27, p. 533, insert "and (1;0,0,1,0,0,0,0) On tile 4nalyris of progr4ms witll equlllionl mathematical" between "sonal" COMPUTER SCIENCE ~~nd binary relali onB. Rowat, Peter Forbes, Repretenting rplllial Livesey, Norman John, Run-time control and "reasons." esperience and Bolving rplllial problemt in in 4 tr4ntACtion-oriented oper4fing syl­ G. Hoc hac hild. alimulllled robot environment. tem.

629 LETTERS TO THE EDITOR

Berufsverbot on political grounds cannot, in most cases, practise is referred to by oppo­ A letter by A. Dress, U. Pieper-Seier and U. his profession. This situation as a "Berufsverbot" (literally Knauer, on the subject of the case of H. E. Gross, nents of this system was published in the Notices (January 1980, pages "forbidding-of-profession"). Official usage, however, 76-78). In an answering letter to the editors from does not allow the use of the word "Berufsverbot" W. Heise, H. Karzel, H. J. Kroll and K. Sorensen in political cases. A particularly comical case of this (Notices, June 1980, pages 346-34 7}, the facts pre­ terminological confusion is described in a report in sented in the first letter were disputed and Dress, the liberal paper Frankfurter Rundschau, in which it Pieper-Seier and Knauer were strongly attacked. I is reported that the Minister of Science in Lower wish to take issue with the authors of this answering Saxony, E. Pestel, who happens also to be the re­ letter. sponsible minister in the case of Gross, "sharply These authors say of the first letter: "The diction rebuked" a university for an official use of the word and content of this letter is qualified to defame "Berufsverbot" in the political context, and ordered Germany (Federal Republic), especially in the eyes an investigation into how this had happened. of our American colleagues." I know Dress person­ The authors of the answering letter claim that ally, and I know that members of his family sacrificed there is no Berufsverbot on political grounds, and their lives in the Nazi Period in their struggle for a that Dress and the other authors of the first letter better Germany. This is a part of the experiences use the term to "defame"; I think that the weight that leads Dress to speak out again and again for the this assertion should be given is clear from the above. respect of the rights guaranteed by our constitution. The description and justification of the practice in the letter of Heise, Anyone who knows him knows that he would not of (political) Berufsverbot is a fabric of half-truths. slander our country. It is hardly possible, in any Karzel, Kroll and Sorensen I cannot go into each of them, case, to take a criticism of an injustice as a "defama­ For reasons of space but perhaps an example will suffice to show how the tion" of Germany. "American colleagues" are misled, and by whom. The authors of the answering letter are particu­ They write: "No DKP (German communist party) larly incensed by the use of the word "Berufsverbot." member dares to exhaust all the legal stages of appeal Here is some background which explains this use: to our Supreme Court because they (sic) know that Applicants to official positions in Germany are, the Communist Party of Germany and all its succes­ in many cases, as in the case of Gross, rejected if sors have been officially declared to be illegal." they hold views or have engaged in activities that are thought to be "extremist" or "communist." They The facts are as follows: Article 21 (2) of our are screened by the "Verfassungsschutz" (literally constitution, says: "Parties which, according to their constitution-protection-agency), normally by a search goals or to the behaviour of their members, tend to of files that typically contain, for example, informa­ injure or destroy the fundamental free democratic tion on the participation of a subject in demonstra­ order, or to threaten the existence of Germany, are tions against the Vietnam war, his distribution or contrary to the constitution (verfassungswidrig). writing of leaflets, his travel in East Germany, his The Supreme Court (Bundesverfassungsgericht) has membership and activities in the (legal) German com­ the power to declare a party contrary to the consti­ munist party or pacifist or radical democratic orga­ tution." (Parties that have been so declared, and nizations, as well as his previous candidacies, backed only such parties, are illegal.) The "Communist by leftist student organizations, for student parlia­ Party in Germany" (KPD) was declared illegal in this ments, etc. It is estimated that some one million way in 1956. In 1968 a new communist party, the applicants for official positions have been so screened· "German Communist Party" (DKP) was founded. the number is this large because about 20% of em- ' This party is to this day legal; it takes part in elec­ played West Germans, including all university teachers tions and has representatives in some of the German and most scientists, arc in positions that are official city councils. In particular, it has not been declared in the above sense. (It must be said that the indi­ contrary to the constitution. However, in a decision vidual states in the Federal Republic that are gov­ in 1975, the Supreme Court called the DKP "hostile erned by the more liberal "Social Democrats" have to the constitution" (verfassungsfeindlich). This ex­ recently tried to reduce this massive screening.) pression does not occur in the constitution, and does These routine screenings have, in at least 4,000 not carry the same legal connotation as "contrary to cases, lead to an interrogatory interview with the the constitution." applicant on the materials in his file which have been The Court's decisions on Berufsverbot are quite found objectionable. It is impossible here to go varied. It often happens that a Berufsverbot that has further into this practice; I refer the reader to the been challenged is struck down by the court. The ·interview with Dress in Nature (Vol. 282, December state then usually appeals its case, and a higher court 1979). often, though not always, reverses the lower court's Since there are no private universities in decision. Germany, a scientist who has been denied a position The case of H. E. Gross followed just this course.

630 I know Gross personally, and value the work that he last war in order to prevent the erosion of democracy has done on the position of mathematics in society from .within, as it had taken place during the years of and its implications for mathematical training. I can the Weimar republic leading to the rise of Nazism. assure the reader that every word of the letter of (c) In West Germany the position of a school Dress, Pieper-Seier and Knauer is true. The Commit­ teacher in public schools, as well as that of a univer­ tee on the Human Rights of Mathematicians was not sity professor, belongs to the civil service. This is in misled in this case. I would like to thank all of the marked distinction to the situation in the U.S., and. mathematicians who have lent Gross their support it certainly is debatable which of these two arrange­ in this matter. ments is preferable. As employment in the civil E. Brieskorn service here implies absolute job security, together Mathematisches I nstitut with various other benefits, the professional organiza­ Universitat Bonn tions have been keen not to have this situation changed. Until the early seventies, the loyalty pre­ requisites connected with the privileges of the civil service were not considered a burden. Since then a In the January 1980 Notices, pages 76-78, you small number of communist teachers and an even printed a letter "The case of Horst Eckart Gross" by smaller number of communist university assistants Professor Dress and associates. While I was preparing have been refused employment in the civil service or the following commentary, I received the June issue as public employees, and communist propaganda, which on pages 346-347 contains a rejoinder by directed by East Germany, has in this connection Professor Heise and associates. coined the phrase "Berufsverbot." This is definitely I am very concerned over this issue, particularly misleading in the case of school teachers since they since those of our colleagues who re,nember the law­ can look for employment in private schools, and it lessness and terror of Nazi Germany may, from a is at least partly misleading in the case of university distorted representation of facts, obtain the impres­ personnel. In the particular case of pure mathemati­ sion of a new lawlessness and oppression coming up cians a different situation could indeed arise since in today's West Germany. there is one mathematical research institute outside In the following, I shall under (1) collect some the public domain, viz. the Max-Pianck-lnstitut at general information concerning the procedures of ad­ Bonn which was established only recently. Still, in mission to the West German civil service. Under (2) the case of Mr. Gross no mathematical career seems I shall connect this with the case of Mr. Gross, and to be in danger of disruption since he is not working under (3) and (4) I shall compare these facts with in mathematical research but, as Mr. Dress' letter the allegations made in Mr. Dress' letter. makes only partly clear, in the kind of sociology­ cum-statistics which is applied in various private 1. (a) There are, to begin with, indeed "Berufs­ companies working on background research for ad­ verbote," viz. legally binding interdictions to pursue vertising and opinion polls. a particular profession or trade. But they exist only in those professions for which there are particular (d) There is no 'political police' in the West procedures for admission, exercised by professional German federal republic nor in any of its states. chambers-admission to the bar and admission for What Mr. Dress' letter refers to under that name are practice as a physician. What is referred to in Mr. the "Bundesamt" (federal) and the "Landesamter" Dress' letter is not at all of this kind; it concerns the (statewise) "fiir Verfassungsschutz." These are employment in the civil service or as a public em­ chartered agencies, organized within the ministries of ployee. the interior of the federal and state governments and (b) As stated by German law (Grundgesetz, completely separate from the police force. Their Bundesbeamtengesetz, Beamtengesetze der Lander), purpose is the gathering by observation of information a prerequisite for employment in the civil service is concerning extremist activities aiming at an overthrow the active support of the constitutional principles. of the constitutional order. They fundamentally As developed by the federal constitutional court differ from law enforcement agencies in that they (Bundesverfassungsgericht), these include in particular have no executive power at all: they cannot search (i) the sovereignty of parliament, (ii) the responsibility premises or persons, cannot detain or arrest, and can­ of the government to the parliament, (iii) the prin­ not force anyone to grant an interview. Obviously, ciple of several factions and political parties, including those restrictions were put upon them precisely in the right to form and operate an opposition, (iv) the order to avoid the recreation of a powerful political division of powers (legislative, executive, judicative), police as it had existed under the Nazi rule. Infor­ (v) the independence of the courts. The prerequisites mation gathered by these agencies can, under narrowly for the simpler public employment do not demand defined circumstances, be called upon by other gov­ the particular loyalty expected from a civil servant ernment agencies, and it can, if so warranted, be but, as defined by courts, preclude activities explicitly handed to the public prosecutor who then, if he aiming at the abandonment of the above principles.-I decides to prosecute, will have to employ the services should add that the formulation of such prerequisites of the normal police force and the standard means is not a relict of times authoritarian or feudalist, but of law enforcement. that it was worked out with particular care after the (e) In the state of Niedersachsen, which is

631 responsible for the university at Oldenburg, the in the Soviet Union and in the DDR where critics of the loyalty prerequisites for an appointment in the civil regime are suffering severe persecution." "There does not exist a service are examined according to the following pro­ declaration or an oath in which the applicant would have promised his support of the con· cedure. If an applicant has been chosen for appoint­ stitution in a future position in the civil service or as a ment upon his professional and personal qualifications, public employee in Niedersachsen. Such a declaration is re· the respective agency responsible for the appointment quired only after an appointment has been made." notifies the ministry of the interior. The ministry I should add that, according to information given then has the files of the Landesamt fUr Verfassungs­ to me by an Oldenburg mathematician, Mr. Gross schutz examined as to whether there are facts on actually did take his case to the courts, and that, in record casting doubts upon the applicant's loyalty. the course of this procedure, the appeals court re­ This is an inspection of records only, without addi· cently upheld the government's refusal to appoint tiona! interviews; facts must be usable in court so him. that hearsay or unproven suspicions are excluded. If 3. From what has been said above, it follows nothing is on record, the appointment will be made that Mr. Dress' use of the term "Berufsverbot" is, effective. to say the least, quite misleading, and his consistent If, however, a record containing detrimental use of this word cannot be viewed as anything but facts does exist, an interministerial commission of a conscious propagandistic effort. Mr. Dress' use of five members examines the case; it is not bound by the name "political police," meaning the Amter fiir any directives and may decide that the materials on Verfassungsschutz, is without any base whatsoever; record do not justify serious doubts, in which case he thereby creates an association of thought which the applicant is to be appointed. If its decision is borders on the libelous. different, the commission will ask the applicant for Likewise, the "resolution passed by the Council an interview, informing him in advance of the facts of the University of Oldenburg" and quoted by Mr. considered as speaking against him; for this inter· Dress, makes use of the same terminology; it claims view, the applicant may be accompanied by a lawyer that unconstitutional methods ("by the political of his choice. Based upon this interview, the com· police") had been used against Mr. Gross and that mission produces a written recommendation on his non-appointment was based on a generally un­ whether or not to appoint the applicant. If the gov­ constitutional practice ("of Berufsverbote"). As for ernment agency responsible for the appointment, or the case of Mr. Gross, claims about particular uncon­ the minister of the interior, or the prime minister, stitutional methods are nowhere specified. As for is in disagreement with the recommendation, the the general practice of vetting applicants for civil case is brought before a cabinet meeting where the service appointments, it follows from what was said final decision is made. above that it is not only in accordance with the con­ This describes the process by which the executive stitution, but is explicitly founded on its require­ branch comes to its decision. If it turns out to be ments, together with those of the positive law. negative, the applicant now has access to the courts, Finally, the Amter fUr Verfassungsschutz were where after approaching the first court he may go at created by specific federal and state laws which de­ least one step further to an appeals court. If no pre­ fine narrow limits within which they must operate. vious rulings for analogous situations exist, the case Mr. Dress is quite correct when he observes that will go on to the respective supreme courts, the the refusal of appointment may not necessarily be Bundesverwaltungsgericht, the Bundesarbeitsgericht based on criminal acts committed or on federal laws or, even, the Bundesverfassungsgericht. violated by the applicant. But neither is the appli· cant being 2. Concerning the particular case of Mr. Gross, I prosecuted, nor are his civil rights in any way restricted. wrote to Professor Peste!, the minister responsible for What is the case-and this Mr. Dress suppresses-is the executive decision. On May 17th I received his that the applicant wants to have a position answer, stating that the procedure described above as a civil servant or as a public employee and that the employer, had been followed and that Mr. Gross had been viz. the government, then indeed discriminates interviewed by the interministerial commission. The against applicants subscribing to an organization with following are direct translations from his letter, explicitly anti-constitutional referring to Mr. Gross: aims. And it is quite incorrect if Professor Bers, in his commentary to Mr. Dress' letter, surmises that "In view of his political activities, it could not be this discrimination comes about because assumed from the outset that he consistently subscribed to the appli­ the democratic principles in the sense of the federal consti· cant is "being suspected" of disloyalty and "refusing tution. Here the doubts concerning his constitutional Readers loyalty are based essentially on his identification with the who wish to respond to letters published in aims of the DKP, but not on his membership in the "Freund· this issue are urged to do so prior to January 20, 1 981. schaftsgesellschaft BRD·Kuba e.V." which, by the way, is Responses received by that date may be edited to considered to be under communist influence. In the course reduce repetition and will be considered for publi· of the interview it had to be observed that Mr. Gross either cation in the April 1981 issue. A second round of re· could not or would not disassociate himself from the anti· joinders to these responses will then be scheduled for constitutional aims of the "Deutsche Kommunistische possible publication in the August 1981 issue. After Partei" (DKP). The DKP openly subscribes to the aims of publication of the second set of responses, the com­ Marxism-Leninism, supports the dictatorship of the prole· mittee hopes that readers will find some new topics tariat and, for instance, considers as exemplary the situation to discuss in these pages.

632 to answer certain questions pertaining to lawful poli­ libelous character of its content I have already pointed tical affiliation." The fact is that the applicant has out (e.g. "this Berufsverbot case shows perhaps more to be provably disloyal, where proof is defined by clearly than any previous case the unconstitutional verifiable criteria like that of membership in the DKP. methods used by the political police"), but it is just I have described under (1) the elaborate precautions as much the form of this document which by its taken in order to assure that in the first place the very phrasing exactly conforms to the communist executive decision be based on such proofs; the propaganda line. For it is a characteristic communist courts then will examine and may revise the execu­ phrase, known no doubt to many readers of the tive decision. I should also add that just recently Notices and used in translations into various lan­ several suits of rejected applicants did reach the guages, to speak of "work towards peace and friend­ respective supreme courts which then confirmed ship among the peoples of the world" when what is these criteria of proof (and, in the cases under de­ meant is communist propaganda, subversion or plain bate, did uphold the refusal of their application by military intervention. And so the council's resolution the executive). reads: "It is especially shocking that work towards That the aims of the DKP explicitly contradict peace and friendship is deemed to be unconstitu­ the constitutional principles as listed under (1 b) can tional." be read freely in the DKP's own literature. That Here is an example of how an important univer­ such words are not just rhetorical is shown by the sity body (which, as an institution of self-administra­ reality of communist rule as it may be inspected in tion, has a legal position comparable to that of a various countries, beginning with the Soviet Union town council) has, at least in this case, fallen under and ending, for the time being, with Afghanistan. the domination of activists who now are managing And as for the lawfulness of political affiliation with to spread communist propaganda from within, and the DKP, there simply are more shades to grey than with the very voice of, a democratic institution. Of just black and white. The West German federal gov­ course, while no longer the only maverick, it still is ernment and the state governments have considered only a university council-but this is by no means it neither necessary nor expedient to file a suit with the only nor the gravest example. And it is the the Bundesverfassungsgericht, asking that the DKP be existence of situations like this one which seems to declared unconstitutional-though there can be no leave no choice but the full application of the law doubt that such a suit would be successful, particu­ if the democratic institutions-and in particular their larly since the DKP's direct predecessor, the KPD, executive arm, the civil service-shall not be sub­ was declared unconstitutional as long ago as 1955. verted by a massive influx of forces determined to But obviously the adoption of such a liberal policy abandon them. to ideal­ in no way implies that the government itself, in the Such a policy may well cause hardship have been made to believe form of its civil service, must be opened up to these istic young persons who constitutional right to work groups whose very aim is the forceful and irreversible the lie that there is a overthrow of the constitution. But if anyone abandonment of government by democratic principles. for the is to be blamed here, it cannot be the guardian of 4. It follows that the possibility to refuse appli­ the constitution or the executive of its institutions. cants for the civil service, as well as the procedure This blame must go to those who, partly in naivite used to ascertain whether or not such a refusal and partly in cool calculation, set up those young should be made, rests firmly upon the constitution persons as the victims upon the altar of their hoped­ and the positive law. While there can be no doubt for revolution and who then do not refrain from as to the legality of the situation, one still may ask using them as martyrs in order to attract more sup­ whether the strict execution of the law is actually porters. It is with sadness that I see how the moral required: every prosecutor and every government sensitivity of Mr. Dress and his associates seems also may, after all, choose not to apply the full force of to have been misused for such infamous purposes. its laws for reasons of expediency. And is this not, one may ask, just the case of a maverick, an eccen­ Walter Felscher tric, who shouts aloud at Sather Gate, but does so Mathematisches lnstitut without any actual consequence? Universitat Tilbingen However, Mr. Dress' letter makes it perfectly plain that Mr. Gross is in no way an isolated eccen­ tric; he is associated with the thoroughly organized DKP and is the admittedly active secretary of a com­ Research Institutes munist front organization. I cannot possibly present I believe that much of the discussion of the pro­ here a detailed description of the considerable in· posed NSF Mathematics Research Institute has been fluence which, over the last couple of years, com­ unrealistic-1980 is very different from 1965 after munist groups have acquired first in the so-called all-and ignores the most successful recent examples intellectual and now also in the political life of West of mathematically-oriented institutes. Germany. But a quite telling example can be found In 1959-1961 I worked at Lincoln Laboratory in Mr. Dress' letter itself, viz. the "resolution of the of MIT. It had a relatively large number of mathe­ Council of the University of Oldenburg," a high­ maticians and what one might call 'mathematical ranking body of the university's administration. The engineers', and they contributed seminal work in

633 computer science and system theory. Another insti­ mathematics. I am sure that an isomorphic institu­ tution that played a very creative role in the science tion will be re-invented some day, probably in Japan. of the day was the Research Institute for Advanced (In fact, there was a little-known effort there in Study {RIAS) in Baltimore. It was started by the 'mathematical engineering' in the 7950s called RAAG. Martin Company under the benevolent dictatorship They also did innovative work, inspired by the Amer­ of Solomon Lefschetz. (I believe Lefschetz himself ican electrical engineer Gabriel Kron, that was far wa~ pa~t ~eventy: ~ure\y th\~ c\\nche~ h\~ record a~ ahead o\ \ts t\me.) the greatest mathematical leader since Felix Klein!) I came to Boston in 1973 to work in physics, It was considerably smaller than Lincoln, filling a but transferred my interest to the small group at converted private mansion in the suburbs of Balti­ Harvard and MIT who were doing serious work on more. The mathematical part was a group of mathe­ the mathematical problems of system-control theory. maticians and engineers of about a dozen, centered (Most engineers are quite content to exploit the work around ord\nary diHerent\a\ equat\om and ~y~tem­ done at RIA.S and Unco\n twenty years ago.) Momen­ control theory. tum has built up again, and for the first time since RIAS was spectacularly successful: In addition to RIAS, there is now a critical mass of people working the well-known Kalman-Bucy work, it nurtured the on the main issues. However, it is all very fragile­ pioneering work in system theory by Florentine, only two members of the group have tenure and the Kushner and Wonham. I am sure that more came administration at both Harvard and MIT is even less out of that place in a few short years than has ever sympathetic than that of Martin twenty years ago. been accomplished in the expensive Gaullist labora· Perhaps it is time to try again-we have no Lefschetz, tories implanted in Europe in recent years. Their alas, but times are changing and the need is clearly reward was to be abandoned: Many of them moved there. to Brown, Kalman to Stanford, but they lost momen­ Robert Hermann tum and never recaptured that magic spark. Brookline, MA Perhaps RIAS will merit a footnote someday when a historian writes about the decline of Ameri· can science and technology. In particular, General Motors please note that the concepts surrounding the Letters submitted for publication in the Notices are re­ Kalman-Bucy filter are basic to any serious attempt viewed by the editorial committee whose task is to determine which ones are suitatile for publication. The at industrial automation. This confirms the theory publication schedule requires from two to four months that we seem to be blindly following the path of between receipt of the letter in Providence and the pub­ industrial stupidity pioneered by England. lication of the earliest issue of the Notices in which it I think that the greatest accomplishment of RIAS could appear. The committee adopted a policy that the Notices does not ordinarily publish complaints about re· trained as engineers to put was to stimulate people views of books or articles, although, following an in· the extra effort into mastering the difficult mathe­ struction from the Council, rebuttals and correspondence matical tools they need to do the most creative work. concerning reviews in the Bulletin will be considered for Similarly people trained as mathematicians (Bucy, publication. Letters submitted for consideration by the Hale, Hermes, LaSalle) were inspired to get out of editorial committee should be mailed to the Editor of the Notices, American Mathematical Society, P.O. Box the mathematician's rut and make contributions that 6248, Providence, Rhode Island 02940. have been really useful, while doing very creative

NEWS AND ANNOUNCEMENTS

NSF ANNOUNCES POSTDOCTORAL These fellowships are distinct from and in addi­ PROGRAM FOR MATHEMATICIANS tion to other NSF postdoctoral fellowships previously announced [see page 544 of the October 1980 Notices]. The National Science Foundation has announced Details and application procedures can be found it will award about thirty fellowships for postdoctoral in the Mathematical Sciences Postdoctoral Research The fellow· research in the mathematical sciences. Fellowships 1981 Announcement which will be dis­ ships, for periods of one or two yea~, will carry a tributed to U.S. colleges and universities and is avail­ yearly stipend of $20,000 for full-time research. able from the NSF Publications Office, Washington, will be announced by March, 1981. Awards D.C. 20550. The competition will be open to U.S. citizens The closing date for applications is January 3, or nationals who have earned their doctorate degrees 1981. after January 1975. Selection will be based mainly -NSF News Release on ability of the applicants, likely impact on their Editor's Note: The item above supplements the future scientific development, and the scientific earlier announcement printed on page 540 of the quality of the research likely to emerge. October 1980 Notices.

634 AMS RESEARCH FELLOWSHIPS NSF ANNOUNCES COMPETITION Invitation for Applications FOR FOUR FELLOWSHIP PROGRAMS The National Science Foundation (NSF) plans to AMS Research Fellowship Awards are made in award, subject to availability of funds, approximately February each year; the application deadline is the 550 fellowships in the spring of 1981 for advanced previous December 31. For awards made in 1980 study to help meet the continuing national need for the stipend was $15,000 plus an allowance of $500. qualified scientific personnel. Included are 400 NSF The stipend for 1980-1981 is yet to be determined Graduate Fellowships, 50 NSF Minority Graduate by the Trustees of the Society, but will be at least Fellowships, 50 NSF Postdoctoral Fellowships, and $17,000 (including a portion exempt from income 50 NATO Postdoctoral Fellowships. Application tax). materials now are available for all four programs. These postdoctoral fellowships support research Competition for the fellowship awards is open to in mathematics during the academic year, and are qualified citizens and nationals of the United States. open to individuals who have recently received the Awards are made on the basis of merit in all fields Ph.D. degree, regardless of age, and who are citizens of science, including interdisciplinary and multi­ or permanent residents of a country in North Amer­ disciplinary areas. Excluded are awards in clinical, ica. Recipients of the fellowships may not hold law, education or business fields; history or social another grant or salaried position concurrently with work; study leading to medical, dental, or public the Research Fellowship. It should be noted, how­ health degrees; or study in joint Ph.D.-professional ever, that these fellowships are more flexible than. degree programs. Also excluded are training and many others, including NSF postdoctoral fellowships. residency programs leading to certification in clinical AMS Research Fellowships may be held at any insti­ fields. tution the Fellow selects, or at more than one in suc­ -NSF News Release cession, and there is flexibility in the choice of time Note: The Graduate Fellowships, Minority Graduate interval(s) in which the Fellow may draw funds. Fellowships and Postdoctoral Fellowships were For further information and application forms, described in detail in the October 1980 Notices, write to Dr. William j. LeVeque, Executive Director, pp. 544-545. Details of the NATO Fellowship com­ American Mathematical Society, P. 0. Box 6248, petition appear below. Providence, Rh~de Island 02940. NATO POSTDOCTORAL FELLOWSHIPS ANNOUNCED BY NSF North Atlantic Treaty Organization (NATO) Post· doctoral Fellowships are awarded for advanced study AMS RESEARCH FELLOWSHIP FUND outside the U.S. in a country that is either a member Request for Contributions of or cooperating with NATO. These fellowships were established by NATO to advance science and The AMS Research Fellowship Fund was technology and to promote closer collaboration established in 1973. From this fund AMS Research among NATO nations. Each member country ad· Fellowships are awarded annually to individuals who ministers these fellowships for its own nationals; have received the Ph.D. degree, who show unusual NSF administers this NATO-funded program in the promise in mathematical research, and who are citi­ U.S. at the request of the Department of State. The zens or permanent residents of a country in North fellowships provide a stipend of $1,150 per month America. with periods of tenure up to twelve months. Limited Twenty-three Research Fellowships have been travel support and a monthly allowance of $75 per awarded including three granted for 1980-1981 (see dependent, up to a maximum of three, are available. the announcement in the June 1980 Notices, p. 363). The application deadline is November 3, 1980, The number of fellowships awarded depends, of and awards will be announced in late February 1981. course, on the contributions the Society receives. For copies of the announcement (SE 81-17) and The Society itself contributes a minimum of $9,000 application materials, contact NATO Fellowship Pro­ to the Fund each year, matching one-half the funds gram Office, Division of Scientific Personnel Improve­ in excess of $18,000 raised from other sources, up ment, National Science Foundation, Washington, to a total contribution by the Society of $20,000. D.C. 20550; (telephone 202-282-7154). It is hoped that every member of the Society will contribute to the Fund. POSTDOCTORAL SCIENCE RESEARCH Contributions to the AMS Research Fellowship PROGRAMS OF THE N.R.C. Fund are tax deductible. Checks should be made payable to the American Mathematical Society, The National Research Council has announced its clearly marked "AMS Research Fellowship Fund", 1981 Research Associateship Programs for post­ and sent to the American Mathematical Society, doctoral work in the sciences to be conducted in P. 0. Box 1571, Annex Station, Providence, Rhode sixteen federal research institutions with laboratories Island 02901. located throughout the United States. The programs

63S provide postdoctoral scientists and engineers of un­ Chapel Hill. Among members of the committee are usual promise and ability with opportunities for re­ Saunders Mac Lane, University of Chicago, and search on problems largely of their own choosing yet Lincoln Moses, Stanford University. compatible with the research interests of the support­ Funding for the study is provided by the Andrew ing laboratory. Initiated in 1954, the Associateship W. Mellon Foundation, the Ford Foundation, the Programs have enhanced the career development of National Science Foundation, and the National Insti­ over 3,500 scientists ranging from recent Ph.D.'s to tutes of Health. Study headquarters are located in distinguished senior scientists. the Commission on Human Resources of the National Four hundred or more full-time Associateships Research Council. will be awarded on a competitive basis in 1981 for The Conference Board of Associated Research research in chemistry, engineering, and mathematics, Councils was organized in 1944 and is made up of and in the earth, environmental, physical, space, and representatives of the American Council of Learned life sciences. Most of the programs are open to both Societies, American Council on Education, National U.S. and non-U.S. nationals, and to both recent Research Council, and Social Science Research Ph.D.'s and senior investigators. Council. -News Release, CBARC Awards are made for a year with possible exten­ sions through a second year; senior applicants may request shorter tenures. Stipends range from ARTHUR SARD $20,500 a year (approximating GS 11, Step 1 Arthur Sard, recently at the University of Cali­ salaries) for recent Ph.D.'s to approximately $40,000 fornia, San Diego, died in Binningen, Switzerland on a year for Senior Associates. Allowances are made August 31, 1980 at the age of 71. He was a mem­ for relocation and for limited professional travel ber of the Society for 43 years. He taught at Queens during tenure. The federal laboratory provides the College in Flushing, New York, 1936-1971; during Associate programmatic support including facilities, the war he was a leading member of the Applied support services, and necessary equipment. Mathematics Group at Columbia. He is noted for Applications to the Research Council must be Sard's theorem (Bull. Amer. Math. Soc. 48 (1942), postmarked no later than january 15, 1981. Awards 883-890)-that the set of critical values of a suitably will be announced in April. smooth function has measure zero, a result well­ Information on specific research opportunities known in differential topology and game theory. and federal laboratories, as well as application mate­ rials, may be obtained from the Associateship Office, NARIAKI KOSE JH 610-D3, 2101 Constitution Avenue, N.W., Washington, D.C. 20418; 202-389-6554. A Memorial Fund is being established in com­ memoration -NRC Press Release of Nariaki Kose, a graduate student at the University of California, Berkeley, who died in a mountaineering accident in july 1980. The fund will STUDY WILL EVALUATE provide an annual prize to a graduate student in RESEARCH-DOCTORATE PROGRAMS mathematics for quality teaching. A new study which will evaluate research­ Those who wish to contribute to the memorial doctorate programs in U.S. universities has been fund should make their checks payable to the Regents launched by the Conference Board of Associated of the University of California, mark them "For the Research Councils (CBARC). Nariaki Kose Memorial Fund," and mail them to the The study will examine graduate programs in the Department of Mathematics, University of California, physical and biological sciences, mathematics, engin­ Berkeley, California 94720; Attention: Colleen Quigley. eering, the social sciences, and the humanities. It will include in its sample, programs that produce approximately ninety percent of the nation's Ph.D.'s RUFUS BOWEN LECTURES in each of thirty-one selected fields within these The University of California, Berkeley, has es­ areas. The study will be concerned with the prep­ tablished the Rufus Bowen Lectures, to honor the aration of students for careers in research. The study memory of Rufus Bowen. Dennis Sullivan, of the plan is designed to provide a better informed and lnstitut des Hautes Etudes Scientifiques, Paris, will more representative sample of evaluators than was give the first series of three lectures during the week employed in past studies. In addition to peer evalua­ of january 12-16, 1981, in Berkeley on topics in tions, programs will be compared on measures of the the Theory of Kleinian Groups and Ergodic Theory. achievements of their faculty and of their recent Donations to the Rufus Bowen Memorial Fund graduates. may be sent to the Department of Mathematics, The study will be guided by a committee University of California, Berkeley, California 94720. appointed by the Conference Board. Co-chairmen ·are Gardner Lindzey, Director of the Center for Ad­ ISRAEL vanced Study in the Behavioral Sciences, Stanford, HALPERIN PRIZE AWARDED California, and Lyle V. jones, Professor of Psychol­ The Israel Halperin Prize is awarded every five ogy and Director of the L. L. Thurstone Psycho­ years for outstanding work in operator theory or metric Laboratory at the University of North Carolina, operator algebras by a member of the Canadian

636 mathematical community who has recently obtained (NSF News continued from p. 61 S.) a doctorate. The first recipient of this prize is Man-duen Choi of the University of Toronto who LARGER INSTITUTIONS' NSF GRANTS was given the award at the Canadian Operator Sym­ CAN AID SMALL COLLEGE posium in May 1980. FACULTY MEMBERS The NSF is providing an opportunity for faculty ASSOCIATE DIRECTOR members at small institutions to arrange work with JOINS MAA STAFF an investigator at another institution who holds or is applying for an NSF research grant. The NSF grantee The Mathematical Association of America (MAA) may request supplemental funding to cover addi­ announced the appointment on September 1, 1980 tional costs. If supplemental funds 11re required, the of Dr. Marcia P. Sward to the newly created position NSF grantee should submit to NSF a brief proposal, of Associate Director. including a description of the proposed research, Until September 1, 1980, Dr. Sward was Asso­ budget, and biographical sketch of the small college ciate Professor of Mathematics and Chairman of the faculty member. Individuals at smaller colleges Department of Mathematics at Trinity College, Wash­ should make their own arrangements with investi­ ington, D.C. She has served since 1978 as a member gators at larger universities or laboratories. NSF does of the MAA Committee on Placement Examinations. not act as intermediary. Further information is avail­ Dr. Sward received a Bachelor of Arts degree able from the National Science Foundation, G from Vassar College in 1961 and a Ph.D. in mathe­ 1800 matics from the University of Illinois in 1967. She Street, N.W., Washington, DC 20550; Attention: has been a member of the faculty of Trinity since Cecilia Spearing, Mathematical and Physical Sciences 1968. During 1979 she served as a University Fellow (202-357-7943); Roland Radloff, Biological, Be­ at the National Highway Traffic Safety Administra­ havioral, and Social Sciences (202-357-9880); or tion of the Department of Transportation. She lives Albert Bridgewater, Astronomical, Atmospheric, in Chevy Chase, Maryland, with her husband, Gilbert, Earth, and Ocean Sciences (202-357-7615). who is a Professor of Mathematics at Montgomery College, Rockville, and their two children. MINORITY RESEARCH INITIATION Dr. Sward will assist the MAA Executive Director The Minority Research Initiation (MRI) program in the general administration of the Washington Head­ (formerly the Research Initiation in Minority Insti­ quarters and have specific responsibility for the tutions RIMI-program) provides support for full­ Association's publication program. She will serve as time minority faculty individuals who are nationals editor of the newsletter which the Association plans of the United States and who wish to establish to begin publishing in 1981. quality research efforts on their campuses. Indivi­ dual minority scientists eligible to submit proposals LADY DAVIS FELLOWSHIP TRUST are those who have full-time status at U. S. colleges The deadline for receipt in Jerusalem of com­ or universities with academic programs in the sci­ pleted application forms for the Lady Davis Graduate, ences and engineering. No specific deadlines or Postdoctoral and Professorial Fellowships in 1981- target dates apply to proposals submitted under the 1982 has been advanced to December 1, 1980. The MRI program. Lady Davis Fellowship Trust provides both fellow­ The MRI program announcement NSF 80-42 may ships for study or research at graduate or post­ be requested from Roosevelt Calbert, Office of Plan­ doctoral levels, and support for visiting professor­ ning and Resources Management (202-357-7350), ships at the Hebrew University of Jerusalem and the National Science Foundation, 1800 G Street, N.W., Technion-Israel Institute of Technology, Haifa. Washington, DC 20550. Specific program inquiries Lady Davis Fellows are selected on the basis of should be directed to the NSF program director who demonstrated excellence in their studies, promise of has responsibility for research support matters in the distinction in their chosen fields of specialization proposer's field of interest and qualities of mind, intellect and character. The -NSF Bulletin fellowships are tenable for a period of one year. They may be renewed for a second year, and in spe­ E. D. BERGMANN cial circumstances extended for a third year. They MEMORIAL RESEARCH GRANTS are intended to defray travel and tuition fees and to meet reasonable living expenses. U.S.-Isroel Binational Science Foundation The Lady Davis Visiting Professorships, for The Professor E. D. Bergmann Memorial Research periods of from one trimester (or semester) to a full Grants for Young Scientists are special awards made academic year, are intended for candidates with the annually to two outstanding young scientists, one in rank of Full or Associate Professor at their own the U.S. and one in Israel. The grants, awarded on institutions. These grants include a professorial the basis of cooperative research proposals, cover the salary and cost of travel. cost of up to two years of research conducted at an Application forms can be obtained from the Israeli institution. Scientists who have completed Lady Davis Fellowship Trust, P. 0. Box 1255, their doctorates within five years prior to application Jerusalem, Israel. may apply. Applications should reach the Israel

637 Binational Science Foundation office in Jerusalem, MISCELLANEOUS Israel, by November 1; the awards will be announced April 1, 1981. Eligible research areas are agriculture, health Personal Items sciences, life sciences, physics, chemistry, mathe­ matical sciences, atmospheric and earth sciences, Fredric Ancel of the University of Texas has oceanography and limnology, materials research, en­ been appointed to an assistant professorship at the vironmental research, energy research, biomedical University of Oklahoma. engineering, economics, sociology, anthropology, and Thomas W. Hungerford of the University of social and developmental psychology. Washington has been appointed professor and chair­ Information and application forms may be re­ man of the Department of Mathematics at Cleveland quested from the U.S.-Israel Binational Science Foun­ State University. dation, Division of International Programs, National Dalton R. Hunkins of Saint Bonaventure Uni­ Science Foundation, 1800 G Street, N.W., Washing­ versity has been appointed chairman of the Depart­ ton, DC 20550 (202-357-7613). ment of Mathematics. -NSF Bulletin S. C. Kothari of Southern Illinois University has been appointed to a visiting assistant professorship NSF SCIENCE EDUCATION PROJECTS at the University of Oklahoma. TRANSFERRED TO Richard Kubelka of Stanford University has DEPARTMENT OF EDUCATION been appointed to a visiting assistant professorship at the University of NSF projects aimed at improving science instruc­ Oklahoma. tion in kindergarten through the fourth grade which Paul Massatt of Brown University has been appointed to an assistant were funded under NSF's Pre-College Teacher Devel­ professorship at the Uni­ opment in Science program have been transferred to versity of Oklahoma. the newly established Department of Education. William Ray of Iowa State University has been The transfer involves thirty-nine newly funded proj­ appointed to an assistant professorship at the Uni­ ects, including sixteen summer workshops and versity of Oklahoma. twenty-three seminars scheduled for the 1980-1981 John Sawka of Yale University has been academic year. Since its inception four years ago, appointed to an assistant professorship at the Uni­ the NSF program has been directed toward improving versity of Santa Clara. science instruction in kindergarten through the 12th Gerald F. Smith of Lehigh University has been grade by offering teachers an opportunity for con­ appointed acting director of the Center for the tinuing education in the subject matter of science Application of Mathematics at that institution. and in strategies for teaching science. Jerzy Szulga of Wroc/aw University, Poland, has NSF will continue to support projects aimed at been appointed Research Fellow in Mathematics at improving the science competency of teachers in Cleveland State University. grades five through twelve in mathematics and the Jeanne Tamaki of Tulane University has been natural and social sciences. appointed to an assistant professorship at the Uni­ Deadline for receipt of proposals, usually initiated versity of Santa Clara. by colleges and universities was October 1, 1980. PROMOTIONS SCIENCE EDUCATION To Professor. Long Island University: Robert A. DEVELOPMENT AND RESEARCH Melter; University of Oklahoma: David Kay. To Guidelines for the preparation of proposals for Associate Professor. Knox College: Dennis M. Schneider. the Division of Science Education Development and Research are available from the NSF upon request For information on the Research in Science Education Deaths program, request SE 80-55 from Rita Peterson (202- 282-7745). For information on the Development in Science Education program, request SE 80-50 from Professor Aldo Andreotti of the Scuola Normale Alexander Barton (202-282-791 0). Superiore, Pisa, Italy, died on February 21, 1980 at A preliminary proposal is required in every case, the age of 55. He was a member of the Society for and it may be submitted at any time during the year. 22 years. To start a project in the summer of 1981, however, James S. Elston of Winter Park, Florida, died on applicants should have sent in the preliminary pro­ April 14, 1980 at the age of 91. He was a member posal during September or early October 1980. For of the Society for 54 years. starts coinciding with the academic year 1981-1982, Professor Carl H. Rasmussen of the University of submissions should be made sometime in October, Michigan, Dearborn, died on August 15, 1979 at the November, or December 1980. age of 33. He was a member of the Society for 3 For further information, request the brochure years. SE 80-56 from the National Science Foundation, Arthur Sard of Binningen, Switzerland, died 1800 G Street, N.W., Washington, DC 20550. on August 31, 1980. (See page 636.)

638 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 So· ciety, 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), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the N~rth 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 are listed on the inside front cover of each issue.

1980-1981. ACADEMIC YEAR DEVOTED TO COMMUTATIVE 16-19. FOURTH CONFERENCE INTERNATJONALE SUR L 'ANA­ ALGEBRA AND ITS RELATIONS TO COMBINATORICS, SVZY­ LYSE ET l'OPTIMISATION DES SYST~MES, Versailles, GIES AND K-THEORY, The Mittag-leffler Institute, France. (June 1980, p. 370) Djursholm, Sweden. (February 1980, p. 186) Sponsor: Institut National de Recherche en Informa­ ti que et en Automati que; cosponsored by Associa­ 1980. SPECIAL YEAR ON FUNCTIONAL EQUATIONS AND tion Fran~;ai se pour la Cybern~ti que Economi que et THEIR APPLICATIONS, University of Waterloo, Ontar­ Technique; Institute of Electrical and Electron­ io, Canada. (February 1980, p. 186) ics Engineers, Inc.; International Federation of Automatic Control; Insti tut de Recherches de 1 a June 1-December 20. MATHEMATISCHES FORSCHUNGSINSTI­ Sid~rurgie Fran~aise. TUT OBERWOLFACH (Weekly Conferences), Federal Re­ Program: Large scale systems; multivariable sys­ public of Germany. (June 1980, p. 366) tems; economic systems; multi dimensional systems and applications to image processing; distributed September 1980-March 1981. NSF CHAUTAUQUA SHORT parameter systems, theory and applications; COURSES FOR NONACADEMIC SCIENTISTS AND ENGINEERS, games, theory and applications; stochastic dynam­ Polytechnic Institute of New York; Oregon Graduate ical systems; applications of microprocessors to Center. (October 1980, p. 546) control; modelling of oil fields; algebraic and geometric system theory; adaptive systems. NOVEMBER 1980 Information: Secr~tariat de la Confe'rence, Service des Relations Ext~rieures, Institut National de 6-8. SIAM 1980 FAll MEETING, Houston, Texas. (April Recherche en Informati que et en Automati que, Do­ 1980, p. 289) maine de Voluceau, Rocquencourt, 78150 Le Ches­ nay, France. I4-15. FOUNDATIONS: LOGIC, LANGUAGE, AND MATHEMAT­ JANUARY 1981 ICS, Graduate Center, City University of New York, New York. (June 1980, p. 370) 2-8. WINTER RESEARCH INSTITUTE ON GEOMETRIC QUANTI­ ZATION, Banff, Alberta, Canada. (June 1980, p. 370) DECEMBER 1980 3-8. ANNUAL MEETING OF THE AMERICAN ASSOCIATION FOR I-6. FIRST CONGRESS OF BIOMATHEMATICS, Concepcion, THE ADVANCEMENT OF SCIENCE, Toronto, Canada. Chile. (April 1980, p. 289) Information: AAAS Meetings Office, 1776 Massachu- setts Avenue, N.W., Washington, D.C. 20036. 1-12. CONFERENCE ON INTERACTIVE GRAPHICAL MAN­ MACHINE COMMUNICATION, Nantes, France. (August 5-8. THIRD CARIBBEAN CONFERENCE ON COMBINATORICS 1980, p. 452) AND COMPUTING, University of the West Indies, Bar­ bados. (August 1980, p. 452) 8-13. WORKSHOP ON NONLINEAR EQUATIONS, Mexico City, 6. SYMPOSIUM ON OPERATOR THEORY AND BANQUET IN Mexico. (October 1980, p. 547) HONOR OF PAUL R. HALMOS, University of California, 12-14. ANNUAL MEETING OF THE CANADIAN MATHEMATICAL Berkeley, California. (October 1980, p. 549) SOCIETY, Vancouver, B.C., Canada. (October I980, p. 547) 7-15. INTERNATIONAL CONFERENCE ON ALGEBRAIC GEOMETRY, La Rabida University, Sevilla, Spain. 15-19. NSF-CBMS REGIONAL CONFERENCE ON HARMONIC ~: Algebraic methods in the theory of singu­ MAPS, Tulane University, New Orleans, louisiana. --rarlties; topological aspects; desingularization. Principal lecturer: James Eells, University of War- Program: The conference will be devoted particular- wick, England. ly, but not exclusively, to singularities of al­ Program: Professor Eells will deliver one morning gebraic varieties and analytic spaces. There will and one afternoon 1ecture on each of the five be 1ectures by invited speakers. There will be days of the conference. Approximately half of the seminar sessions on different topics, and parti­ lectures will be devoted to the existence theory cipants are invited to present their work. and half to the qualitative theory of harmonic Call for Papers: Papers must be submitted by Decem­ maps. ber 15, 1980, to the address below. Support: While most funds will have been c011111itted Information: Tom~s S(nchez, Facultad de Ciencias, by the time of publication of this announcement, Secci6n de Matematicas, Prado de la Magdalena, late requests from the Middle South region will Valladolid, Spain. be considered as funds permit. Requests should be accompanied by a statement of mathematical back­ 10-11. DIFFERENTIAL EQUATIONS AND APPLICATIONS TO ground and research interests. ECOLOGY EPIDEMICS AND POPULATION PROBLEMS, Harvey Information: Ronald J. Knill, Department of Mathe­ Mudd College, Claremont, California. matics, Tulane University, New Orleans, louisiana Or~anizing Committee: J. A. Yorke, K. L. Cooke, and 70118. • N. Busenberg.

639 ~: There will be papers on the dynamics of versity of the Negev, Israel. (October 1980, p. · dlfrerential equations as well as on models in 547) biomathematics and population biology. Proceed­ ; ngs will be pub 1 ished by Academic Press. A re­ 18-20. FOURTEENTH ANNUAL SIMULATION SYMPOSIUM, Tam­ lated CBMS Conference with J. A. Yorke as princi­ pa, Florida. (August 1980, p. 453) pal lecturer will be held in Claremont during the week of January 12. 25-27. CONFERENCE ON INFORMATION SCIENCES AND SYS­ Information: Stavros N. Busenberg, Department of TEMS, Baltimore, Maryland. Mathematics, Harvey Mudd College, Claremont, Cal­ Call for Papers: Authors are invited to submit pa­ ifornia 91711. pers describing new advances, applications, and ideas in the fields of computer science, communi­ 12-16. NSF REGIONAL CONFERENCE ON GLOBAL TOPOLOGI­ cation theory, system and control theory. Two CAL METHODS IN APPLIED MATHEMATICS, Pomona College, kinds of papers are solicited. (1) Regular. papers Claremont, California. requiring approximately thirty minutes for pre­ Principal Lecturer: James A. Yorke. sentation; these will be reproduced in full (up ~: James Yorke will deliver ten expository to six pages) in the Conference Proceedings. (2) -Tectilres on the following topics: The numerical Short papers sui table for presentation in fifteen solution of systems of equations: Homotopy con­ minutes or less; one page summaries of these pa­ tinuation methods that work "with probability pers will be pub 1 ished in the Proceedings. (One one"; Hopf bifurcation and the global continua­ Proceedings page is approximately 2 standard tion of periodic solutions of differential equa­ double-spaced pages.) tions depending on a parameter; Global aspects of Instruction for Authors: A "regular" or "short" the analysis of gonorrhea and measles outbreaks designation, t1tle, and summary are to be submit­ in the United States; Chaos and ergodic behavior ted by January 16, 1981. Summaries should be of in simple dynamical processes. One-hour lectures sufficient detail and length to permit careful on related themes will be given by John Gucken­ reviewing. Authors will be notified of acceptance heimer, Herbert Keller and Paul Rabinowicz. A re- by February 16, 1981. Instructions for the prepa­ 1 ated research conference will be held in Clare­ ration of accepted papers for the Proceedings mont on the weekend preceding this conference will be sent to each author. All manuscripts are (see January 10-11). to be submitted to 1981 CISS, Department of Elec­ ~: A limited amount of financial support is trical Engineering, The Johns Hopkins University, - avallable through an NSF-CBMS conference grant. Baltimore, Maryland 21218. Information: Kenneth L. Cooke, Mathematics Depart- Information: Gerard G. L. Meyer and Wilson J. Rugh, ment, Pomona College, Claremont, California Program Directors, Electrical Engineering Depart­ 91711. ment, The Johns Hopkins University, Baltimore, Maryland 21218. 12-February 6. TWENTY-FIRST SUMMER RESEARCH INSTI­ TUTE OF THE AUSTRALIAN MATHEMATICAL SOCIETY, Uni­ 26-28. INTERNATIONAL CONFERENCE ON SPECTRAL THEORY versity of Tasmania, Hobart, Australia. (June 19BO, OF DIFFERENTIAL OPERATORS, University of Alabama in p. 370) Birmingham, Birmingham, Alabama. (October 1980, p. 547) FEBRUARY 1981 APRIL 1981

8-12. CONFERENCE ON ALGEBRA AND GEOMETRY, Kuwait 6-8. ENVIRONMETRICS '81, Washington, D.C. (August University, Kuwait. (August 1980, p. 453) 1980, p. 453)

25-28. NONLINEAR PROBLEMS IN SCIENCE, Rice Univer­ 8-10. 2e CONFERENCE INTERNATIONALE SlR LES SYSTEMES sity, Houston, Texas. (October 1980, p. 547) INFORMATIQUES REPARTIS, Paris, France. (August 1980, p. 453) MARCH 1981 21-24. SECOND SOUTHEAST ASIAN CONFERENCE ON MATHE­ 2-5. TWELFTH SOUTHEASTERN CONFERENCE ON COMBINATOR­ MATICAL EDUCATION, Department of Mathematics, Uni­ ICS, GRAPH THEORY, AND COMPUTING, Pleasant Hall, versity of Malaya, Kuala Lumpur, Malaysia. (October Louisiana State University, Baton Rouge, Louisi­ 1980, p. 548) ana. Louisiana. (October 1980, p. 547) 23-26. RECENT ADVANCES IN NON-COMMUTATIVE RING 2-6. NONLINEAR PROBLEMS: PRESENT AND FUTURE, Center THEORY: A GEORGE H. HUDSON SYMPOSIUM, State Univer­ for Nonlinear Studies, Los Alamos Scientific Labo­ sity of New York, Plattsburgh, New York. (October ratory, University of California. 1980, p. 548) Program: Survey lectures by C. Bardos, P. Fife, J. Krumhansl, M. Rosenbluth, I. Singer. Opportuni­ 30-May 1. TWELFTH ANNUAL PITTSBURGH CONFERENCE ON ties for invited speakers, contributed talks and MODELING AND SIMULATION, University of Pittsburgh, discussion panels on the themes of the survey Pittsburgh, Pennsylvania. (August 1980, p. 453) lectures: models of turbulence; new methods in nonlinear analysis; nonlinear waves in reaction­ MAY 1981 diffusion systems; nonlinear phenomena in plas­ mas. 11-13. THIRTEENTH ACM SYMPOSIUM ON THEORY OF COM­ Information: Participation open to all interested PUTING, Milwaukee, Wisconsin. (October 1980, p. scientists. For further information and pre-reg­ 548) istration contact the Organizing Committee (A. R. Bishop, D. K. Campbell, B. Nicolaenko), Center 11-15. SECOND AUSTRALASIAN MATHEMATICS CONVENTION, for Nonlinear Studies, Los Alamos Scientific Lab­ Sydney, Australia. (October 1980, p. 548) oratory, University of California, P. 0. Box 1663, MS 457, Los Alamos, New Mexico 87545. 16-23. INTERNATIONAL CONFERENCE ON FUNCTIONAL-DIF­ FERENTIAL SYSTEMS AND RELATED TOPICS. II, Kozubnik, 12-13. COMPUTER SCIENCE AND STATISTICS: THE THIR­ Poland. (August 1980, p. 453) T£ENTH SYMPOSIUM ON THE INTERFACE, Pittsburgh Hilton, Gateway Center, Pittsburgh, Pennsylvania. 21-22. THIRD SYMPOSIUM ON MATHEMATICAL PROGRAMMING (August 1980, p. 453) WITH DATA PERTURBATIONS, The George Washington Uni­ versity, Washington, D.C. 16-20. INTERNATIONAL CONFERENCE ON CONVEXITY AND Sponsors: Institute for Management Science and GRAPH THEORY, University of Haifa; Ben Gurian Uni- Engineering; Department of Operations Research,

640 School of Engineering and Applied Science, The 1981, and must be accompanied by a separate one~ George Washington University. page abstract. Purpose: This symposium is designed to bring to­ gether practitioners who use mathematical pro­ 22-27. INTERNATIONAL SYMPOS!l.t-1 ON STOCHASTICS AND gramming optimization models, and who have to ANALYSIS, Tubingen, West Germany. (October 1980, deal with questions of sensitivity analysis, with p. 548) academic and other research workers who are de­ veloping tools applicable to these problems. 22-July 3. WORKSHOP ON FEEDBACK AND SYNTHESIS OF Call for Papers: Papers are solicited in the fol­ LINEAR AND NONLINEAR SYSTEMS, Center for lnterd·is­ lowlng areas: sensitivity and stability analysis ciplinary Research, Bielefeld, West Germany; Rome. results and their applications; sol uti on methods ~: The first week of the workshop will be on for problems involving implicitly defined problem ---nnedr systems and held at Bielefeld; the second functions; solution methods for problems involv­ week will be on nonlinear systems and will be in ing deterministic or stochastic parameter chan­ Rome. ges; sol uti on approximation techniques and error Information: Feedback and Synthesis of Linear and analysis. "Clinical" presentations are also soli­ Nonlinear Systems, ZentriJJl fur lnterdisziplinare cited that describe problems in sensitivity or Forschung, D-48 Bielefeld 1, Wellenberg 1, West stability analysis encountered in applications. Germany. Deadline for Abstracts: March 1, 1981. Abstracts should be good technical summaries, but should 28-July 5. NINTH INTERNATIONAL CONGRESS ON THE AP­ avoid the use of mathematical symbols and refer­ PLICATION OF MATHEMATICS IN ENGINEERING, Weimar, ences, should not exceed 500 words, and should German Democratic Republic. (August 1980, p. 453) include a title and the name and full mailing ad­ dress of each author. Abstracts should be sent in 29-July 10. CURRENT TRENDS IN ALGEBRAIC TOPOLOGY, triplicate to the address below. The University of Western Ontario, London, Ontario, Information: Anthony V. Fiacco, Department of Oper­ Canada. (August 1980, p. 453) ations Research, School of Engineering and Applied Science, The George Washington Universi­ 30-July 2. FOURTH IMACS INTERNATIONAL SYMPOSIUM ON ty, Washington, D.C. 20052, (202) 676-7511. COMPUTER METHODS FOR PARTIAL DIFFERENTIAL EQUA­ TIONS, Lehigh University, Bethlehem, Pennsylvania. JUNE 1981 (October 1980, p. 548) 1-5. ENERGY SYSTEMS, Salisbury State College, Sal­ isbury, Maryland. JULY 1981 Principal Lecturer: H. T. Odum, University of Flor­ 19-25. SUMMER MEETING IN CATEGORY THEORY, Cam­ ida. bridge, England. Sponsor: MD-DC-VA Section of the MAA. (October 1980, p. 548) Purpose: To make available to teachers in two- and 20-24. EIGHTH BRITISH COMBINATORIAL CONFERENCE, four-year colleges important topics in applicable Swansea, South mathematics. Wales. (October 1980, p. 549) Information: B. A. Fusaro, Department of Mathemati­ cal Sciences, Salisbury State College, Salisbury, AUGUST 1981 Maryland 21801. (301) 546-3261 Ext. 369. 3-7. INTERNATIONAL SEMINAR ON FUNCTIONAL ANALYSIS, 8-10. CONFERENCE ON ANALYSING PROBLEM CLASSES AND HOLOMORPHY AND APPROXIMATION THEORY, Universidade PROGRAMMING FOR PARALLEL COMPUTING, Nurnburg, Fed­ Federal do Rio de Janeiro, Brazil. (October 1980, eral Republic of Germany. (October 1980, p. 548) p. 549) 8-12. COMBINATORIAL PROBLEM-SOLVING, Salisbury 5-7. 1981 ACM SYMPOSil.t-1 ON SYMBOLIC AND ALGEBRAIC State College, Salisbury, Maryland. COMPUTATION, Snowbird, Utah. (October 1980, p. 549) Principal Lecturer: Alan Tucker, SUNY, Stony Brook. ~: MD-DC-VA Section of the MAA. 11-21. SIXTH INTERNATIONAL CONFERENCE ON MATHEMATI­ ~: To make available to teachers in two- and CAL PHYSICS, Berlin, Federal Republic of Germany. four-year colleges important topics in applicable (October 1980, p. 549) mathematics. Information: B. A Fusaro, Department of Mathemati­ 23-28. TENTH CONFERENCE ON STOCHASTIC PROCESSES AND cal Sciences, Salisbury State College, Salisbury, THEIR APPLICATIONS, Montreal, Canada. (October Maryland 21801, (301) 546-3261 Ext. 369. 1980, p. 549) 9-July 3. SYMPOSIUM ON CATEGORICAL ALGEBRA AND TOP­ OLOGY, University of Cape Town, Cape Town, South 3D-September 6. NINTH INTERNATIONAL CONFERENCE ON Africa. NONLINEAR OSCILLATIONS, Kiev, USSR. (August 1980, Speakers (tentative): B. Banaschewski, G. C. L. p. 453) Brummer, P. Cherenack, C. R. A. Gilmour, K. A. Hardie, D. R. A. Harvey, P. J. Hilton, A. V. Jan­ 31-SeptellJber 5. SIXTH CONGRESS OF THE GROUPEMENT sen, L. D. Nel, S. Salbany, A. P. J. van der DES MATHEMATIC lENS D'EXPRESSION LA TINE, Centre Uni­ Walt, S. J. R. Vorster. versitaire de Luxembourg, Luxembourg. (October Call for Papers: Contributions to algebra and top­ 1980, p. 549) ology that are category-theoretical in motivation or in method are solicited. The Proceedings will be published as a special issue of Quaestiones SEPTEMBER 1981 Mathematicae. The papers will be refereed indi­ vidually. 8-10. INTERNATIONAL SYMPOSIUM ON SEMI-INFINITE lnformati on: K. A. Hardie, Department of Mathemat­ PROGRAMMING AND APPLICATIONS, Austin, Texas. ics, University of Cape Town, Rondebosch 7700, (October 1980, p. 549) South Africa. 21-26. JOURNEES ARITHMETIQUES, Metz, France. 17-19. SECOND INTERNATIONAL CONFERENCE ON THE NO­ (October 1980, p. 549) MER !CAL ANALYSIS OF SEMICONDUCTOR DEVICES AND INTE­ GRATED CIRCUITS, Dublin, Ireland. (October 1980, AUGUST 1982 p. 548) Deadline for Papers: Preliminary versions of papers 11-19. INTERNATIONAL CONGRESS OF MATHEMATICIANS, should be submitted not later than March 20, Warsaw, Poland. (October 1980, p. 549)

641 AMS REPORTS AND COMMUNICATIONS

Recent Appointments T. Faires, James P. Fink, William J. LeVeque (ex officio), Richard A. Moore, Earle F. Myers (publicity director), David P. Roselle (ex officio), and Kathleen Committee members' terms of office on standing Ann Taylor. committees expire on December 31 of the year given in parentheses following their names, unless Jack K. Hale (1983) has been appointed by otherwise specified. President Peter D. Lax to the AMS subcommittee of the joint AMS-JMS Committee on Translations from Russian and Other Languages. Continuing members Melvin Woodard has been appointed by Presidents of this subcommittee are Israel Berstein (1983), Dorothy L. Bernstein and Peter D. Lax to the joint Ronald G. Douglas, chairman (1982), Eugene B. AMS-MAA Committee on Arrangements for the Dynkin (1981), David G. Ebin (1983), Solomon Pittsburgh Meeting, August 17-21, 1981. Other Feferman (1982), Frederick P. Gardiner (1982), members of the committee are Elayne Arrington­ John B. Garnett (1982), Victor Kac (1981 ), Nicholas ldowu, William A. Beck, Mario Benedicty, Frank T. D. Kazarinoff (1981 ), Boris Mityagin (1983), Melvyn Birtel (ex officio), Jacob Burbea (chairman), Barbara Nathanson (1983), and Arthur H. Stone (1982).

Candidates Nominated for 1980 Elections

Following are the candidates in the elections of 1980.

OFFICERS Committee to Monitor Problems in Communication Karl H. Hofmann President-elect Lynn A. Steen Andrew M. Gleason Publication Committees Vice President (one to be elected) Paul R. Halmos American journal of Mathematics, Society's Murray H. Protter Representative Victor W. Guillemin Secretary Bulletin Everett Pitcher Felix E. Browder Associate Secretaries Colloquium Raymond G. Ayoub Stephen Smale Frank T. Birtel Mathematical Reviews Treasurer Carl M. Pearcy Franklin P. Peterson Mathematical Surveys Jane Cronin Scanlon Associate Treasurer Mathematics of Computation Steve Armentrout James H. Bramble Member-at-large of the Council (five to be elected) Morris Newman Bernard Aupetit Proceedings Donald L. Burkholder Thomas H. Brylawski Eugenio Calabi Alan J. Hoffman NOMINATING COMMITTEE FOR 1981 Linda Keen Guido L. Weiss Vadim Komkov Reuben Hersh 0. Carruth McGehee Ronald G. Douglas Paul J. Sally, Jr. Michael C. Reed Michele Vergne Ivan Niven Scott Warner Williams Jerome A. Goldstein Ek>ard of Trustees Paul Meier Cathleen S. Morawetz Meyer Jerison

642 PROBABILITY THEORY and STATISTICS New and Back/ist Selections

MODERN STATISTICS: METHODS AND Statistics: Methods and Applications is an excellent APPLICATIONS companion to MAA's Studies in Statistics also edited edited by Robert V. Hogg by Professor Hogg. This volume contains the lecture notes prepared Volume 23, vi + 110 pages prices: List $12.00, institutional Course given in Soft cover by the speakers for the AMS Short member $12.00, all individuals, $6.00 San Antonio on January 7-8, 1980. Hard cover prices: List $18.00, institutional The choice of topics from a field as large as member $13.50, individual member $9.00 Statistics is a difficult one. The organizers wanted ISBN 0-8218-0023-X; LC 80-16093 to avoid any substantial overlap with the short course Publication date: July 1980 To order, please specify PSAPMSI23 N (soft cover) on statistics held three years earlier in St. Louis; PSAPMI23N (hard cover) therefore it seemed very natural to begin with one important topic that is sometimes overlooked in an introductory course, particularly one in mathematical SELECTED TABLES statistics. This topic is one through which the gen­ IN MATHEMATICAL STATISTICS eral public most often hears about statistics, namely, survey sampling. Wayne Fuller spoke on Samples THE DISTRIBUTION OF THE SIZE OF THE and Surveys, noting the operations necessary in con­ MAXIMUM CLUSTER OF POINTS ON A LINE ducting a survey of a human population. In his by Norman D. Neff and joseph I. Naus article, he explains the construction of a probability Researchers in many fields deal with the cluster­ sample design and the corresponding optimal estima­ ing of events in time and space. The probabilities of tors. large clusters under various models are tools of the The more general problem of the design and natural, physical and social sciences. The present analysis of an experiment was covered by Peter John book provides probabilities for the size of the largest in his Analysis of Variance. These techniques have cluster of random points on the line. Tables of been extremely important in applications and have exact values and functional forms are given. A wide also motivated a large amount of statistical research. variety of applications is given. It is clear that even in an elementary design the ex­ Those who will benefit from this volume arc re­ perimenter must understand the importance of ran­ searchers who seck to investigate unusual clustering. domization. These include quality control experts investigating Nonparametric statistical methods have played a clusters of defectives, communications engineers who major role in modern statistics. Two coordinated design system capacity to accommodate clusters, and talks on that subject were given by Ronald Randles experts in epidemiology, traffic control, ecology and and Thomas Hettmansperger. Randles introduced many other fields who study the clustering of events distribution-free rank tests, such as one by Wilcoxon, in time and space. Just as experts in these and other and some of their good asymptotic properties. fields usc the binomial, Poisson, negative binomial Hettmansperger then explained how these rank tests and other distributions, the present tables are an im­ could be used to obtain point and interval estimates portant addition to statistical, technical and scientific for various parameters, including the regression situa­ libraries. tion. These resulting R-estimates are very robust Volume 6, vii + 207 pages because they are not highly sensitive to reasonable List price $12.80, institutional member $9.60, deviations from the underlying assumptions. Price for Individual Member of AMS or IMS $6.40 The important topic of regression was continued ISBN 0-8218-1906-2; LC 74-6283 Publication date: June 1980 by considering isotonic regression and time series. To order, please specify TABLESI6 N F. T. Wright showed how to use the method of maximum likelihood to estimate ordered parameters. Then Douglas Martin considered a time sequence of SELECTED TABLES IN data. After presenting a collection of interesting VolumeS examples, he discussed appropriate models and their MATHEMATICAL STATISTICS. estimates, including robust ones. edited by D. B. Owen and R. E. Odeh with /. M. This book provides an introduction to the statis­ Davenport as managing editor tical topics above. A background of good mathe­ The purpose of the series, Selected Tables in matics through advanced calculus with a little statis­ Mathematical Statistics, is to provide an outlet for tics is adequate preparation for enjoyment of the tables of high quality and utility which are too long contents. The attentive reader will gain a fairly good to be published in a technical journal but too short understanding of the nature of survey sampling, for separate publication_ Each table is carefully design and analysis of experiments, nonparametric checked for accuracy before it is accepted. The series methods, isotonic regression, and time series. Modern is edited by the Institute of Mathematical Statistics.

643 This book consists of three parts: J. Keilson and H. F. Ross, Passage time distributions G. L. Tietjen, D. K. Kahaner and R. J. Beckman, for Gaussian Markov (Ornstein-Uhlenbeck) sta­ Variances and covariances of the normal order tistical processes statistics for sample sizes 2 to 50 Ronald L. lman, Dana Quade and Douglas A. Alex­ H. A. David, W. J. Kennedy and R. D. Knight, Means, ander, Exact probability levels for the Kruskai­ variances and covariances of the normal order Wal!is test statistics in the presence of an outlier Charles E. Land, Tables of standard confidence limits G. Randall Murdock and William 0. Williford, Tables for linear functions of the normal mean and for obtaining optimal confidence intervals in­ variance volving the chi-square distribution Volume 3, 1975; 424 pages The background needed for use of these Tables List $21.60, Institutional Member $16.20 is a basic knowledge of mathematical and applied Price for Individual Member of IMS and/or AMS $10.80 statistics. ISBN 0·8218-1903-8; LC 74-6283 To order, please specify TABLES{3 N Volume 5, 1977, 263 pages List $16.80, Institutional Member $12.60 or IMS $8.40 Price for Individual Member of AMS DECOMPOSITION OF RANDOM VARIABLES ISBN 0·8218·1905·4; LC 74·6283 To order, please specify TABLES/5 N AND VECTORS ju. V. Linnik and L. V. Ostrovsk1i The main problem in the theory of decompo­ SELECTED TABLES IN sitions of random variables is the investigation of the MATHEMATICAL STATISTICS. Volume 4 possible representations of such a variable in the edited by D. B. Owen and R. E. Odeh with j. M. form of a sum of independent random variables. In Davenport as managing editor this book important results in this theory, and some In this volume by M. Sobel, V. R. R. Uppuluri, applications, are presented. Analytic properties of and K. Frankowski, the incomplete Type 1-Dirichlet the characteristic functions of random variables and integral is tabulated in a variety of useful forms. A vectors are studies in detail. One chapter is devoted rather long introductory section gives the essential to limit theorems without the condition of asymp­ properties that were used in the calculation and illus­ totic negligibility. The results and methods of the trates various ways of using tables. It also gives in theory of functions of a complex variable are used. Section 2 some mathematical results that are related Material relating to the history of the topics to problems of interpolation in the table. In general, involved and references to the literature are collected this Dirichlet integral can be used with most multi­ in notes at the end of the book. nomial problems, especially those concerned with the Volume 48, Translations of Mathematical Monographs maximum or minimum frequency in a homogeneous 1977, 380 pages; List $38.80 multinomial. Combinatorial aspects and relations to Institutional Member $29.10, Individual Member $19.40 Stirling numbers of the second kind are also included; ISBN 0·8218·1598·9; LC 76·51345 To order, please specify MMON0/48N in fact these relations give rise to generalized Stirling in Table E along numbers (r > 1), which are listed TWENTY-FOUR PAPERS ON STATISTICS AND with the usual Stirling numbers (r = 1). Table F gives exact and approximate values of n needed for a PROBABILITY multinomial selection problem described in Section This volume contains translations of the follow­ 4.1, the calculation of which depended on the ing articles Type 1- Dirichlet integral. D. V. Anosov, On on integral equation encountered Volume 4, 1977, 309 pages in statistics List $18.00, Institutional Member $13.50 V. Paulauskas, On a smoothing inequality Price for Individual Member of IMS and/or AMS $9.00 L. Z. Liv~ic and I. V. Ostrovoskii, On multidimen­ ISBN 0·8218·1904-6; LC 74-6283 sional infinitely divisible laws which have only To order, please specify TABLES/4 N infinitely divisible components T. A. Azlarov, Stability of characterizing properties of the exponential distribution SELECTED TABLES IN F. F. Mi~eikis, Some extensions of the class of stable MATHEMATICAL STATISTICS. Volume 3 laws edited by H. L. Harter and D. B. Owen, with j. M. N. I. Jakovleva, On the growth of entire characteris­ Davenport as managing editor tic functions of probability laws The following tables are included in this V. M. Tupicyna, On the arithmetic of ridge functions volume: L. S. Kudina, Indecomposable laws with preassigned Bernard Harris and Andrew P. Soms, Tables of the spectrum two factor and three factor generalized incom­ G. P. Cistjakov, On the stability for a theorem of plete modified Bessel distributions ju V. Linnik Kimiko 0. Bowman and Marvin A. Kastenbaum, A. N. Kolmogorov, A theorem on the convergence Sample size requirement: Single and double of conditional expectations and some of its classification experiments. applications

644 Ju. V. Koza'eenko, Sufficient conditions for the con­ Harry Kesten, A renewal theorem for random walk tinuity with probability one of sub-Gaussian in a random environment. random processes Frank B. Knight, On prediction processes. D. V. Gusak, The distribution of the time the maxi­ Oscar E. Lanford Ill, A derivation of the Boltz­ mum is achieved by a homogeneous process mann equation from classical mechanics. with independent increments P. Warwick Millar, Random times and decomposition V. Mackjavi'ejus [V. Mackevi'eius], On some prob­ theorems. lems of the optimal stopping of stable stochas­ Mark A. Pinsky, Stochastic stability and boundary tic processes problems. R. A. Kud~ma, Optimal stopping of semi-stable dif­ William E. Pruitt and S. James Taylor, Some sample fusion processes path properties of the asymmetric Cauchy G. I. Arseni~vili and I. I. E~ov, A certain limit theo­ processes. rem for semi-Markov processes of order r D. Revuz, The Martin boundary of a recurrent ran­ T. G. Tru~ko and E. S. ~tatland, A single-line queue­ dom walk has one or two points. ing system controlled by a Markov chain and John Walsh, The cofine topology revisited. the corresponding system of inventory control Shinzo Watanabe, Poisson point process of Brownian P. S. Knopov, On some problems of hypothesis dis­ excursions and its applications to diffusion crimination processes. V. I. Pagurova, A test for comparison of mean values David Williams, Some Q-matrix problems. in two normal samples Volume 31, Proceedings of Symposia in Pure Mathematics V. M. Do'eviri, The probability of omitting the mo­ 1977, 169 pages; List $19.20 ment of occurrence of a "disorder" during ob­ Institutional Member $14.40, Individual Member $9.60 servation by the Neyman-Pearson method ISBN 0-8218-1431-1; LC 77-2017 To order, please specify PSPUM/31 N Matyas Arata, On the statistical examination of con­ tinuous state Markov processes. I Matyas Arata, On the statistical examination of con­ PROBLEMS IN THE CONSTRUCTIVE TREND IN tinuous state Markov processes. II MATHEMATICS. VI Mayas Arata, On the statistical examination of con­ edited by II. P. Orevkov and N. A. Sanin tinuous state Markov processes. Ill This volume is the sixth collection of papers Matyas Arata, On the statistical examination of con­ on constructive mathematics. The collection con­ tinuous state Markov processes. IV sists of papers on the theory of complexity of algo­ B. L. Granovskii, On the variance of random quadra­ rithms, constructive mathematical analysis and con­ tures of Gaussian type structive mathematical logic. The papers were pre­ These articles were selected by a joint committee sented at a seminar on constructive mathematics at of the Institute for Mathematical Statistics and the the Leningrad Branch of the Steklov Mathematical American Mathematical Society. Institute of the Academy of Sciences of the USSR Volume 14, Selected Translations in Mathematical and at a scientific seminar of the Mathematics­ Statistics and Probability Mechanics Faculty of Leningrad University. 1978, 304 pages; List $38.00, The titles of the papers follow: Institutional Member $28.50, Individual Member $19.00 ISBN 0-8218-1464·8; LC 61-9803 N. K. Kosovskii, Constructive versions of the laws of To order, please specify STAPR0/14N large numbers V. F. Orevkov, On the complexity of expansion of algebraic irrationalities in continued fractions PROBABILITY A. 0. Slisenko, Recognizing a symmetry predicate edited by j. L. Doob by multihead Turing machines with input In March 1976, a symposium on probability N. A. San in, On a hierarchy of methods of inter­ was held at the University of Illinois at Urbana­ preting propositions in constructive mathe­ Champaign. Following is the list of articles and matics authors included in these Proceedings. Part V was published as Number 113 of the R. F. Anderson and Steven Orey, Small random per­ Steklov book series and Part IV as Number 93 turbations of dynamical systems with reflecting (MR 49 #4761 and MR 41 #1539). boundary. Number 129 (1973), Proceedings of the Steklov Institute D. L. Burkholder, Brownian motion and classical 1976, 272 pages (soft cover); List $55.60 analysis. Institutional Member $41.70, Individual Member $27.80 Hans Follmer, A Liapunov principle for semimartin­ ISBN 0-8218·3029-5; LC 75-11951 To order, please specify STEKL0/129 N gales. R. Holley, D. Stroock and D. Williams, Applications STOCHASTIC APPROXIMATION AND of dual processes to diffusion theory. Jean Jacod, A general theorem of representation for RECURSIVE ESTIMATION martingales. M. B. Nevel'son and R. Z. Has'minskiT Naresh C. Jain, Centro/limit theorem and related This book is devoted to sequential methods of questions in Banach space. solving a class of problems to which belongs, for ex-

645 ample, the problem of finding a maximum point of The following chapters are included: 1. Intro­ a function if each measured value of this function duction, 2. Description of the method, 3. Lacunary contains a random error. Some basic procedures of trigonometric series with unweighted summands, stochastic approximation. are investigated from a 4. Stationary .p-mixing sequences, 5. Gaussian se­ single point of view, namely the theory of Markov quences, 6. Lacunary trigonometric series with processes and martingales. Examples are considered weights, 7. Functions of strongly mixing random of applications of the theorems to some problems of variables, 8. Nonstationary mixing sequences, 9. A estimation theory, educational theory and control refinement of the Shannon-McMillan-Breiman theo­ theory, and also to some problems of information rem, 1 0. Markov sequences, 11. Retarded asymptotic transmission in the presence of inverse feedback. martingale difference sequences, and 12. Continuous Unfortunately, an elementary course of proba· parameter stochastic processes. bility theory, as given, say, at technical colleges, is Two appendixes are also included: 1. The Gaai­ not sufficient for an understanding of this book, Koksma strong law of large numbers, and 2. An ex­ since the authors make active use of concepts (such ample. as martingales and Markov processes) based on Kol­ Memoir Number 161 mogorov's general conception of probability theory 1975,140 pages (soft cover); List $7.60 as a branch of measure theory. The authors should Institutional Member $5.70, Individual Member $3.80 nevertheless like the book to be accessible to engin­ ISBN 0-8218-1861-9 eers. The first four sections of the book constitute To order, please specify MEM0/161N an attempt to resolve this dilemma. They are hardly more than a resume of some definitions and theo,· rems from Kolmogorov's Grundbegriffe, collected for later reference. MATHEMATICS OF THE DECISION SCIENCES Chapters 5 and 6 were written by Nevel'son, edited by G. B. Dantzlg and A. F. Veinott, jr. Chapters 8-10 by Has'minskii, and the remaining Part I chapters by both authors in collaboration. Each M. L. Balinski R.E. Gomory R. M. Thrall chapter is prefaced by a brief outline of its contents. R. W. Cottle A.]. Hoffman A. W. Tucker Most of the references are assembled in the notes G. B. Dantzig V. Klee P. Wolfe j. Edmonds C. E. Lemke C. Wltzga/1 following the last chapter. D. R. Fulkerson R. T. Rockafellar The book was translated from the Russian by Part II the the Israel Program for Scientific Translations; K. ]. Arrow S. Karlin E. Polak translation was edited by B. Silver. R. E. Barlow D. Krantz H. Robbins Volume 47, Translations of Mathematical Monographs H. Chernoff H. W. Kuhn j. B. Rosen 1976, 244 pages; List $30.40 G. B. Dantzig W. F. Miller D. Siegmund Institutional Member $22.80, Individual Member $15.20 C. Derman L. W. Neustadt W. R. Sutherland ISBN 0·8218·1597·0; LC 76-48298 A./. Ehrenfeucht M. F. Norman A. H. Taub To order, please specify MMON0/47N D. Gale S. Peters A. F. Veinott, Jr. D. L. Iglehart This publication, in two volumes, contains the ALMOST SURE INVARIANCE PRINCIPLES FOR Proceedings of the Fifth Summer Seminar on the PARTIAL SUMS OF WEAKLY DEPENDENT Mathematics of the Decision Sciences held at Stan­ ford University in 1967. RANDOM VARIABLES The 99 lectures delivered by 33 lecturers are Walter Philipp and William Stout classified in this publication into 11 subjects: Let {xn} be a sequence of random variables, 1. Linear Programming centered at expectations with finite (2 + cS) moments 2. Pivot Theory and Quadratic Programs where cS > 0. For t ;;a. 0 let Sr = S(t) = ~n.;tXn. 3. Convex Polyhedra and Integer Programs Assume that limn .... n-1 ES~ = 1 (*).The authors 4. Combinatorics establish the following almost sure invariance prin­ 5. Nonlinear Programming and for what 6. Control Theory ciple for certain Markov sequences, 7. Mathematical Economics they call retarded asymptotic martingale difference 8. Dynamic Programming sequences: Without changing its distribution they re­ 9. Applied Probability and Statistics define the process {S(t). t ;;a. 0} on a new probability 10. Mathematical Psychology and Linguistics space together with standard Brownian motion 11. Computer Science {X(t), t ;;a. 0} such that S(t)- X(t) = O(t~-A) a.s., where }. > 0 only depends on the given sequence Part 1: Vol. 11, Lectures in Applied Mathematics {xn}. This result implies the usual upper and lower 1968, 429 pages; List $22.40 Institutional Member $16.80, Individual Member $11.20 class results for partial sums and for maxima of par­ ISBN 0-8218·1111-8 tial sums, the functional versions of the law of the To order, please specify LAM/11 iterated logarithm for partial sums and for maxima Part II; Vol. 12, Lectures in Applied Mathematics of partial sums, and distribution type invariance prin­ 1968, 443 pages; List $23.60 ciples. They do not make any stationarity assump­ Institutional' Member $17.70, Individual Member $11.80 tions. As a matter of fact they also obtain similar re­ ISBN 0-8218-1112-6 To order, please specify LAM/12N sults when (*) is not satisfied.

646 PROBABILITY AND RELATED TOPICS IN PHYSICAL SCIENCES Mark Kac This book is an expanded version of twelve lectures delivered at the Seminar in Applied Mathe­ matics held in Boulder, Colorado, in the summer of 1957. It furnishes an introduction to probability the­ ory to a mature audience with little or no prior A rtf.W AMg aor,t-eovflt hooft afJI.i.fA knowledge of the subject. The book is divided into four chapters. The Contemporary first (Nature of Probabilistic Reasoning) serves mainly Mathematics to illustrate how probabilistic notions are introduced and usefully employed in the treatment of a variety CALL FOR PAPERS of problems. The second (Some Tools and Techniques of The AMS has started a new soft­ Probability Theory) is primarily designed to show cover book series. Each book will be how a problem is attacked and solved. published in the shortest possible time The third is Probability in Some Problems of after the manuscript has been accepted Classical Statistical Mechanics. This chapter is sup­ and camera copy has been prepared. plemented by two lectures (reproduced by Appendix The cost will be kept low so that I) by Professor G. E. Uhlenbeck on the Boltzmann copies can be afforded by individuals. equation. The fourth chapter is devoted to a novel way The series can include proceedings of looking at many problems of classical analysis of a conference, whether or not spon­ and physics. The fundamental ideas were introduced sored by the Society, or lecture notes in the early twenties by N. Wiener and from a differ­ submitted by an individual author. AJ ent point of view by R. P. Feynman in 1942. Alec­ ture on the Feynman approach to nonrelativistic is the case with the proceedings of quantum mechanics by A. R. Hibbs is reproduced many symposia, authors are encouraged in Appendix II. to provide camera-ready copy for papen The final two appendices contain lectures de­ that have been accepted for publica­ livered by Professor Balth. van der Pol at the invita­ tion. The Society will pay a typing tion of the program committee. fee of $5 or more per page for author - Volume 1A, Lectures in Applied Mathematics prepared copy, depending upon the num­ 1959, 266 pages (soft cover); List $24.00 ber of lines to the inch, and will provide Institutional Member $18.00, Individual Member $12.00 ISBN 0-8218-0047-7; LC 59-10443 model paper and typing instructions. If To order, please specify LAM/1.1 N necessary, papers can be prepared by the Society, but this increases costs and pro­ ORDER FORM duction time, and therefore sale price. PROBABILITY THEORY & STATISTICS The manuscripts will be refereed Institutional Individual by an editorial board, with proceedings Qty Code" List Member Member PSAPMS/23N $12.00 $12.00 $ 6.00 of a conference being regarded as a PSPUM/31N 19.20 14.40 9.60 unit. Acceptance might therefore pre­ LAM/1.1N 24.00 18.00 12.00 cede a conference and be based upon LAM/11N 22.40 16.80 11.20 LAM/12N 23.60 17.70 11.80 the identity of the sponsor or organiz­ TABLES/3N 21.60 16.20 10.80 ing committee. TABLES/4N 18.00 13.50 9.00 TABLES/5N 16.80 12.60 8.40 Typescripts or preprints of papen TABLES/6N 12.80 9.60 6.40 for this new series should be submitted MEM0/161N 7.60 5.70 3.80 MMON0/47N 30.40 22.80 15.20 to Professor James Milgram, Depart­ MMON0/48N 38.80 29.10 19.40 ment of Mathematics, Stanford Univer­ STAPR0/14N 38.00 28.50 19.00 sity, Stanford, California 94305, for STEKL0/129N 55.60 41.70 27.80 transmission to the editon. If authon ORDERS MUST BE PREPAID. wish to type their papen in the format TOTAL ENCLOSED$---- of Contemporary Mathematics prior to submission for publication, information American Mathematical Society about specifications and model paper PO Box 1 571 , Annex Station is also available from Professor Milgram. Providence, Rl 02901 Please place your Notices mailing label here

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SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Rhode Island 02940. Individuals are requested to pay in advance, in· stitutions arr not required to do -;o. POSITIONS AVAILABLE The Administrative Committee of the TECHNICAL UNI­ VERSITY OF CRETE is pleased to announce the expected opening of 30 professorial positions in the areas of Mathe­ UNIVERSITY OF MARYLAND, College Park 20742-Mathe­ Electrical and Elec­ matics Department. Anticipate positions at all ranks in mathe­ matics, Physics, Chemistry, Mechanics, Chemical Engineering matics and statistics beginning August, 1981. Outstanding tronic Engineering, Computer Science, research credentials required. Vita, brief description of cur­ and Metallurgical Engineering. rent research and three letters of recommendation should be These positions will be in the following three departments: submitted to W. E. Kirwan, Chairman, by january 30, 1981, General Engineering to guarantee full consideration. Electrical Engineering Chemical Engineering SCUOLA NORMALE SUPERIORE It is expected that the official announcement of the open· PISA, ITALY ings specifying the academic areas and procedures for sub­ mitting candidacies will be announced by the end of the for a Postdoctoral Position in Mathematics is offered year and that it will be widely publicised. The establishment period of 1 0 months from 1 October 1981. of 30 more positions will follow in the near future. Applicants may be of any nationality. The total salary attached to this position is 8 million It is also announced that the Technical University of Crete Italian lire. Successful candidates may apply for a partial re­ will consist of three Schools each one of which comprises imbursement of travel expenses. Applications should be sent departments as follows. by january 15, 1981 to 1. School of Technical Sciences, with departments of Director of the Scuola Normale Superiore (a) Electrical Engineering Piazza dei Cavalieri, 7 (b) Mechanical Engineering I- 56100 Pisa, Italy (c) Chemical Engineering and should include a curriculum vitae, a detailed programme (d) Civil Engineering of study, letters from three referees, and reprints of pub­ 2. School of Applied Sciences, with departments of lished papers. (a) General Engineering UNIVERSITY OF SOUTH CAROLINA (b) Technical Education (c) Engineering Management Department of Mathematics and Statistics (d) Geotechnical and Biological Sciences Columbia, South Carolina 29208 3. School of Architecture and Regional Planning, with The Department invites applications for several tenure­ departments of track positions in Mathematics and Statistics beginning Fall, (a) City Planning 1981. The Department is committed to continued growth (b) Architecture and development in Pure and Applied Mathematics and in (c) Regional Planning its Statistics programs. The Ph.D. degree with a commitment (d) Arts to excellence in teaching and strong potential for research The standard teaching load is two courses per are required. MATHEMATICS: The VIRGINIA MILITARY INSTITUTE, semester. a state supported undergraduate college, anticipates openings should submit a resume and arrange for four Applicants at the instructor or the assistant professor level in the to be sent to Professor W. T. letters of recommendation Department of Mathematics in August 1981. The applicant Chairman. The University of South Carolina is Trotter, Jr., should have a strong interest in teaching undergraduates in action/equal opportunity employer. an affirmative a military college environment. Send your resume by Feb· ruary 15, 1981 to Department of Mathematics, The Virginia TENURE-TRACK POSITIONS Military Institute, Lexington, Virginia 24450. AA/EEO. *MATHEMATICS-COMPUTER SCIENCE. Tenure-track position beginning August 1, 1981. Ph.D. in mathematics with Master's degree in computer science or sufficient ex­ HALF-TIME VISITING ASSOCIATE PROFESSORSHIPS perience to teach lower division computer science courses. The Department of Mathematics at ITHACA COLLEGE anticipates that it will have two one-year half-time visiting *MATHEMATICS. Tenure-track position beginning August 1, associate professorships for the academic year 1981-1982. 1981, teaching general undergraduate mathematics courses. The teaching load will consist of two courses one term and Master's degree required, Ph.D. preferred. one course the other term. In addition, the successful appli· Send resume and names of three references to Dr. jerry D. cant will be expected to participate actively in departmental Wilson, Chairman, Department of Science and Mathematics, activities. Letters of inquiry and letters of reference on LANDER COLLEGE, Greenwood, South Carolina 29646. teaching and research should be sent by 1 December 1980 Lander College, a 4-year state supported institution, is an to: Recruiting Committee, Department of Mathematics, affirmative action, equal opportunity employer. Ithaca College, Ithaca, New York 14850.

648 POSITIONS AVAILABLE RUTGERS, THE STATE UNIVERSITY OF NEW JERSEY Department of Mathematics at New Brunswick expects COMPUTER SCIENCE & MATHEMATICAL to have the following positions available beginning Septem­ FACULTY POSITIONS ber 1981: SUSQUEHANNA UNIVERSITY (1) VISITING POSITIONS. Candidates must have Ph.D., proven record of outstanding research accomplishments in The Department of Mathematical Sciences at Susque­ pure or applied mathematics, and concern for teaching: hanna University anticipates openings commencing Septem­ These are terminal one-year positions. ber 1981 in one or more faculty positions teaching under­ graduate courses in Computer Science and Mathematics. (2) HILL ASSISTANT PROFESSORSHIPS. Candidates Doctorate preferred, but others may apply. Academic rank must have Ph.D., with outstanding research ability in pure will be Assistant Professor, unless credentials are unusually or applied mathematics, and concern for teaching. These strong. Salary will be commensurate with qualifications. To are three-year non-renewable positions. apply, a resume, graduate transcripts, and three letters of (3) TENURE-TRACK ASSISTANT PROFESSORSHIPS. reference should be sent to Professor John M. Reade, Chair­ Candidates must have Ph.D., show outstanding promise in man, Department of Mathematical Sciences, Susquehanna research and a concern for teaching. Preference will be University, Selinsgrove, PA 17870. given to those whose research interests are in some area of Susquehanna has a new Hewlett-Packard 3000 computer GEOMETRY or ANALYSIS (especially algebraic geometry). and a strong and growing academic program in computer science with eighty-nine majors in addition to the thirty-two Resumes and letters of recommendation should be sent to: students majoring in mathematics. Ability to contribute to Prof. Daniel Gorenstein, Chmn., Dept. of Math. at New the continued development of a strong computer science Brunswick, Rutgers University, New Brunswick, New Jersey major will be an important consideration in these searches. 08903. RUTGERS UNIVERSITY IS AN EQUAL OPPOR­ Susquehanna University is an Equal Employment TUNITY/AFFIRMATIVE ACTION EMPLOYER. Opportunity, Affirmative Action, and Title IX institution. Research Positions in theoretical and computational fusion SAMUEL G. ORDWAY CHAIR IN MATHEMATICS physics. UNIVERSITY OF MINNESOTA, MINNEAPOLIS The Magnetofluid Dynamics Division of the COURANT INSTITUTE OF MATHEMATICAL SCIENCES, New York at the University of Minnesota The School of Mathematics University, is seeking candidates for full-time research posi­ announces an endowed Chair: tions in theoretical and computational fusion physics. The SAMUEL G. ORDWAY PROFESSOR OF MATHEMATICS MFD Division has been an active participant in the world This position is dedicated to research and graduate educa· fusion program for over twenty years and specializes in tion. Nominations and inquiries on behalf of candidates at those areas of fusion physics which benefit from a sharper the highest level of accomplishment and experience in their mathematical viewpoint. Present research concerns theoreti­ fields are solicited. The position becomes available on Sep­ cal problems of both mainline and alternate magnetic con­ tember 16, 1981, but will not be filled until a candidate of finement fusion approaches, and close contact is maintained suitable distinction is found. Please send letters of nomina­ with national laboratory programs. An on-site mini user tion and inquiries to: service center of the M FE national computer network has Professor Willard Miller, Jr., Head been established by DOE. Interaction with the Courant In­ School of Mathematics (127 VH) stitute staff engaged in varied research programs provides a 206 Church Street S.E. stimulating scientific environment. Rank and salary will University of Minnesota depend on education and experience. Minneapolis, Minnesota 55455 Send resume and three letters of recommendation to: Consideration of nominations for the position will begin Director, Magnetofluid Dynamics Division, New York Uni­ January 12, 1981. versity, Courant Institute of Mathematical Sciences, 251 Mercer Street, New York, NY 10012. The University of Minnesota is an equal opportunity edu­ cator and employer. The University specifically invites and encourages applications from women and minorities. Special year in applied mathematics 1981-1982. The Department of Mathematics of the UNIVERSITY OF CHAIRPERSON CONNECTICUT expects to support several visitors in applied mathematics for either one or both semesters during the DEPARTMENT OF MATHEMATICS AND STATISTICS 1981-1982 academic year. Numerical analysis is to have a UNIVERSITY OF SOUTH ALABAMA significant representation in this special year. Send curriculum Applications are invited for the position of Chairperson vita and references to Professor John Roulier, Department of of the Department of Mathematics and Statistics. Applicants Mathematics, University of Connecticut, Storrs, CT 06268. must be qualified for appointment as Associate Professor or Application deadline is February 1, 1981. The University of Professor of Mathematics. Starting date for position is Sep­ Connecticut is an equal opportunity/affirmative action tember 1, 1981. Qualifications include proven research employer. ability, commitment to quality teaching, and capability to provide dynamic leadership. The Department of Mathematics of the UNIVERSITY OF The University of South Alabama, located in the greater CONNECTICUT anticipates a number of tenure-track open­ Mobile area and established in 1963, serves as the only ings beginning fall 1981. Applications are invited for: major public institution of higher learning on the upper 1. positions at all levels in applied mathematics, Gulf Coast. Current enrollment exceeds 7200. The 17 full­ 2. an assistant or associate professor level position in any time faculty members participate in undergraduate and area, with preference given to candidates with research graduate degree programs in mathematics, as well as in a interests compatible with those of the present faculty. strong minor program in applied statistics. A wide variety of service courses for other colleges on campus is provided. All applicants should hold a Ph.D. in mathematics and have Applicants must submit a detailed resume, three letters a strong record in research and teaching. Send a curriculum of reference, and a letter of interest by December 30, 1980, vita and references to: Jeffrey L. Tollefson, Head, Depart­ to Dr. Suzanne McGill, Chairman-Faculty Search Committee, ment of Mathematics U-9, The University of Connecticut, University of South Alabama, Faculty Court South # 1, Storrs, CT 06268. An equal opportunity/affirmative action Mobile, Alabama 36688. AA/EOE. employer.

649 POSITIONS AVAILABLE SEARCH REOPENED HEAD APPLIED MATHEMATICIAN Department of Mathematics UNIVERSITY OF ALABAMA IN HUNTSVILLE. Tenure· Mississippi State University track position beginning September 1, 1981. Rank and The Department of Mathematics has 29 full-time faculty salary commensurate with experience and credentials. A members and offers degree programs leading to the B.A., Ph.D. degree in mathematics, specialty area(s) in applied B.S., M.A., and M.S. in mathematics as well as service mathematics, strong research credentials, and evidence of courses for all university students. MISSISSIPPI STATE active interest in quality teaching are required. Industrial UNIVERSITY is a comprehensive land grant university and/or mathematical modeling experience preferred. UAH, offering programs in agriculture and home economics, archi­ with over 5,000 students, has advanced degrees in all sci­ tecture, arts and sciences, business and industry, education, ence, computer science, and engineering disciplines. The engineering, forest resources, and veterinary medicine. The University is located in the midst of a large number of re­ Department of Mathematics is one of twenty academic units search and high-technology companies, thereby providing in the College of Arts and Sciences. considerable opportunities for scholarly contract and con­ The Head is the chief administrative officer and academic sulting work. Teaching assignments will be at the under­ leader of the department and reports to the Dean of the graduate and graduate levels. Send letter of application, College, The Head is appointed on a 12-months basis but vita, graduate transcripts, and three letters of reference to also holds faculty rank and is eligible for tenure on a 9- F. L. Cook, Chairman, Department of Mathematics, The months' contract. The salary is competitive. University of Alabama in Huntsville, Huntsville, AL 35899. Qualified candidates will have the terminal degree and a Screening of applicants will begin February 1, 1981. The demonstrated record of accomplishments in teaching and re­ University of Alabama in Huntsville is an Equal Opportunity/ search which would merit the rank of associate professor or Affirmative Action Institution. professor. Administrative experience, especially in budget and personnel matters, is highly desirable. Candidates should send a curriculum vitae and arrange ASSISTANT PROFESSOR to have three letters of reference submitted on or before Applications are invited for an opening at the Assistant Pro· February 1, 1981 to: fessor level, starting fall semester, 1981. Minimum require­ Paul W. Spikes, Chairman ments: Ph.D., evidence of strong research potential and Mathematics Head Search Committee teaching ability, specialty in an area of applied mathematics. Drawer MA U. $. resident status or citizenship. Mississippi State University Vitae and at least three letters of recommendation should be Mississippi State, Mississippi 39762 sent to Professor Warren S. Edelstein, Department of Mathe­ Mississippi State University is an Affirmative Action/ matics, ILLINOIS INSTITUTE OF TECHNOLOGY, Chicago, Equal Opportunity Employer. IL 60616. An Equal Opportunity/ Affirmative Action Employer. DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE SOUTHWEST TEXAS STATE UNIVERSITY MICHIGAN TECHNOLOGICAL UNIVERSITY Applications invited for positions beginning fall 1981: DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE Assistant or Associate Professorships in Computer Science, HOUGHTON, Ml 49931 tenure and non-tenure-track. Applicants should have a Ph.D. Applications are invited for several positions at all levels. in Computer Science and demonstrate potential for excel­ There are limited-term instructorships, for which an M.S. is lence in teaching graduate and undergraduate courses in required, and tenure-track positions, for which a Ph.D. is Computer Science. required. We are looking for people in numerical analysis, Assistant or Associate Professorships in Mathematics, tenure statistics, applicable mathematics, computer science, and and non-tenure-track. Applicants should have a Ph.D. in other areas of mathematics. Candidates for tenure-track Mathematics (or closely related area) and demonstrate po­ positions should show evidence of strong research potential tential for excellence in research and teaching. Preference and teaching ability. MTU is located in Michigan's beautiful will be given candidates with research interests in Topology Upper Peninsula with excellent opportunities for outdoor (decomposition space theory, Q-manifolds, knot theory, recreation. Write Dr. William P. Francis, Acting Head. Michi­ differential topology, continua theory, or group actions on gan Technological University is an equal opportunity educa­ manifolds), Number Theory (analytic or algebraic), Analysis tional institution/equal opportunity employer. (integration theory, integral equations, fixed-point theory, fractional analysis, or differential equations), Applied Mathe­ matics (applied statistics, numerical analysis, operations re­ search, fluid dynamics, applied matrix theory, modeling, WESLEYAN UNIVERSITY, Department of Mathematics, biomathematics or combinatorics), and Mathematics Educa­ Middletown, CT 06457. tion (elementary or secondary). Tenure-track assistant professorship in combinatorial or dis­ Instructorships, non-tenure-track. Applicants should have an crete mathematics or in another area of applicable mathe­ M.A. or equivalent in Mathematics (or closely related area), matics. Four-year contract beginning academic year 1981- demonstrate teaching ability or teaching potential, and be 1982; six hours teaching weekly. willing to participate in faculty seminars and committee projects. This faculty member will complement Wesleyan's growing computer science program; will sometimes teach computer­ Salary and rank commensurate with qualifications and ex­ related courses and introductory programming. perience. Further information concerning specific positions Send vita, three letters of recommendation to: Search Com­ is available from: Dr. John Spellman, Chairman, Department mittee, Department of Mathematics. of Mathematics and Computer Science, Southwest Texas State University, San Marcos, Texas 78666. Deadline for Wesleyan University is an Equal Opportunity/ Affirmative receipt of complete applications: February 15, 1981 (late Action Employer. applications will be considered if openings exist). SWTSU is an equal opportunity/affirmative action employer.

650 POSITIONS AVAILABLE Department of Mathematics OREGON STATE UNIVERSITY APPLIED MATHEMATICS Applications invited for one or more tenure-track Assis­ SOUTHERN METHODIST UNIVERSITY tant Professor positions, available beginning ill September The Mathematics Department expects to have several posi­ 1981 for an applied mathematician. A Ph.D. or the equiva­ lent is required. Duties include research activity, teaching 6 tions available in the fall of 1981. Individuals with proven outstanding research ability or potential and a commitment to 8 class hours per week, and assisting in the development to quality teaching are invited to apply to join our expand­ and implementation of applied and interdisciplinary pro­ ing applied mathematics group. Salary and academic rank grams in mathematics. Salary $17,000-$19,000, depending on qualifications. Closing date for applications is january are negotiable. 20, 1981. For further information, write to: Or. Richard M. Applicants should send their resume and the names of three Schori, Chairman, Department of Mathematics, Oregon State references to G. W. Reddien, Chairman, Department of University, Corvallis, OR 97331. Mathematics, Southern Methodist University, Dallas, Texas An Affirmative Action/Equal Opportunity Employer 75275. An equal opportunity/affirmative action employer. Applications invited for one or more tenure-track Assis­ tant Professor positions in pure mathematics, available begin· jOHNS HOPKINS UNIVERSITY, DEPARTMENT OF ning September 1981. Preference will be given, first, to MATHEMATICAL SCIENCES, BALTIMORE, MD 21218 candidates in geometric topology, and second, to candidates (301-338-7200} in algebraic number theory. A Ph.D. or the equivalent is re· Tenure-track junior appointment in statistics-probability, quired. Duties include research activity and teaching 6 to 8 starts 1981-1982 academic year. Requires research strength class hours per week. Salary $17,000-$19,000, depending and teaching interests in statistical theory and methodology, on qualifications. The closing date for applications is )an· or in probability theory and stochastic processes, and uary 20, 1981. For further information, write to: Or. promise and demonstration of excellence in research, teach· Richard M. Schori, Chairman, Department of Mathematics, ing, innovative application. Applicant should furnish vita Oregon State University, Corvallis, OR 97331. and university transcripts with letter describing professional An Affirmative Action/Equal Opportunity Employer interests and aspirations, and have three letters of recom­ mendation sent to: Applications invited for a possible tenure-track Associate Professor Robert ]. Serfling Professor position, available beginning in September 1981, Faculty Search Committee for a pure or applied mathematician. A Ph.D. or the tquiv­ Mathematical Sciences Department alent is required. Duties include research activity, teaching 6 to 8 class hours per week, and (for an applied mathemati· HEAD, DEPARTMENT OF MATHEMATICAL SCIENCES cian) assisting in the development and implementation of applied and interdisciplinary programs in mathematics. The South Dakota School of Mines and Technology invites Closing date for applications is january 20, 1981. For fur· applications for the position of Head, Department of Mathe­ ther information, write to: Or. Richard M. Schori, Chair­ matical Sciences. The department provides the mathematical man, Department of Mathematics, Oregon State University, training for the engineering and science students of the Corvallis, OR 97331. College and also offers a B.S. degree in mathematics, a B.S. An Affirmative Action/Equal Opportunity Employer degree in computer science and an M.S. degree in mathe· matics. The Department is primarily concerned with the teaching of undergraduate courses and lower level graduate APPLIED MATHEMATICS courses. In addition, Department members have been con­ Department of Mathematics & Statistics sistently active in professional mathematical organizations UNIVERSITY OF PITTSBURGH and in the publication and presentation of papers on a voluntary basis. Applications are invited for three tenure stream faculty positions on the Assistant/ Associate Professor level in com­ Candidates for the position should hold a Ph. 0. in mathe­ putational applied mathematics, numerical analysis or applied matics, have interest and experience in undergraduate teach­ partial differential equations. A Ph.D. is required, and ing, have research experience and an interest in stimulating demonstrated potential in research and interest in teaching scholarly activities, and have the ability to work with mem­ are essential. bers of engineering and science departments on problems The Department offers undergraduate/graduate degrees concerning the curriculum and course content. Administrative in applied mathematics. Its Institute for Computational experience is desirable. Preference may be given to those Mathematics and Applications fosters research in numerical candidates who have experience in Computer Science. analysis/applied mathematics and operates a research com­ Salary is competitive for the nine-month position. Starting puter laboratory. date is August 1981. Deadline for applications is Novem- Rank and salary depend on qualifications. Applications ber 1 5, 1980. will be accepted until positions are filled. Please send vita and supporting material and have at least three letters of Persons interested in the above position should send a letter reference sent to: Professor Charles Hall, Department of of application, resume and at least three letters of reference Mathematics & Statistics, 212 MIB, University of Pittsburgh, to: Or. Harold Orville, Chairman, Search Committee, Institute Pittsburgh, PA 15261. of Atmospheric Sciences, South Dakota School of Mines and The University of Pittsburgh is an Equal Opportunity/ Technology, Rapid City, South Dakota 57701. Affirmative Action Employer. South Dakota School of Mines and Technology is an equal opportunity and affirmative action employer.

651 PERSONALS FOR SALE

MATHEMATICAL TYPING. Professional papers, textbooks. J of Algebra, Vol. 1 thru Vol. 32. PAUL WEICHSEL, F. Fairbrother, Box 1095, Arroyo Grande, CA 93420. MATH, U of Ill., Urbana, IL 61801.

The ASSOCIATION FOR PHYSICAL AND SYSTEMS Copies of the Proceedings of the Conference on Semi· MATHEMATICS would like to contact people with ideas groups in honor of A. H. Clifford held at Tulane University for innovative proposals which have the potential for devel· September 1, 2, 3, 1978, are available from the Mathe· oping mathematics outside of its usual channels. We are matics Research Library, Gibson Hall, Tulane University, particularly interested in such ideas from physicists and New Orleans, LA 70118. There is a charge of $8 to cover engineers and from people with some journalism background the cost of duplicating and shipping the volume. and some mathematical training who want to develop a project of "mathematical journalism." Write to: R. Hermann, 53 jordan Rd., Brookline, MA 02146 (617-738-1 039).

CBMS REGIONAL CONFERENCE SERIES IN MATHEMATICS Supported by the National Science Foundation

AN INTRODUCTION TO THE THEORY OF The one adopted here pertains to Clifford's theorem, SPECIAL DIVISORS ON ALGEBRAIC CURVES and may be informally stated as follows: The failure by Phillip A. Griffiths of a maximally strong version of Clifford's theorem In May, 1979, an NSF Regional Conference was to hold imposes nontrivial conditions on the moduli held at the University of Georgia in Athens. The of an algebraic curve. topic of the conference was "Special divisors on alge­ This monograph contains two sections, respec­ braic curves," and at that time an informal set of tively studying special divisors using the Riemann· lecture notes with the same title was distributed. Roch theorem and the Jacobian variety. In the first About one-half the material in those notes contained section the author begins pretty much at ground an exposition of results from the literature, while the zero, so that a reader who has only passing familiarity other part gave an account of recent joint work by with Riemann surfaces or algebraic curves may be Enrico Arbarello, Maurizio Cornalba, Joe Harris, and able to follow the discussion. The respective sub· P. A. Griffiths. In writing up this monograph it was topics in this first section are (a) the Riemann-Roch decided to restrict to a discussion of the very ele­ theorem, (b) Clifford's theorem and the ~ 0 -mapping, mentary aspects of the theory and an explanation and (c) canonical curves and the Briii-Noether matrix. without complete proofs of a few unpublished results In the second section he assumes a little more, al· together with some from the recent literature, and though again an attempt has been made to explain, then to publish an expanded version of the remaining if not prove, anything. The respective subtopics are contents of the Athens notes in a more traditional (a) Abel's theorem, (b) the reappearance of the Briii­ research format; specifically in Special divisors on Noether matrix with applications to the singularities algebraic curves by the authors listed above (to of Wd and the Kleiman-Laksov existence proof, {c) appear). This monograph, then, gives an exposition the reappearance of the ~ 0 -mapping, and (d) special of the elementary aspects of the theory of special linear systems in low genus. divisors together with an explanation of some more advanced results that are not too technical. As such, Number 44, v + 25 pages (soft cover) it is intended to be an introduction to recent sources. List price $5.60, individual $2.80 ISBN 0·8218·1694·2; LC 80·16415 As with most subjects, one may approach the Publication date: July 1980 theory of special divisors from several points of view. To order, please specify CBMS/44H Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

CBMS REGIONAL CONFERENCE compact groups, Examples-spherical harmonics, The SERIES IN MATHEMATICS general theory of spherical- fUllctions, Fourier and Plancherel transforms, Extension of the Plancherel (Supported by the National Science Foundation) transform, The subtleties of harmonic analysis, Differ­ ential _properties of spherical functions on Lie groups, SPECIAL FUNCTIONS AND LINEAR Sphencal functions on semisimple Lie groups, More REPRESENTATIONS OF LIE GROUPS on SL(2,R), Automorphic functions, Groups of iso­ by jean Dieudonne metrics and Bessel functions, Other special functions. Contents: Introduction, Representations of Number 42, iii + 59 pages (soft cover) SU(2), The general theory of linear representations of List price $8.40, individual $4.20 compact groups, Lie theory of representations of ISBN 0·8218·1692·6; LC 79·22180 compact connected Lie groups, Induced representa· Publication date: January 1980 tions of compact groups, Spherical functions on To order, please specify CBMS/42 K

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901.

652 UNIVERSITY OF CALIFORNIA, BERKELEY UNIVERSITY OF CALIFORNIA Department of Mathematics, Berkeley, CA 94720 BERKELEY A. Weinstein - Vice Chairman for Faculty Appts. Department of Mathematics Berkeley, CA 94720 One tenure track faculty position anticipated, A. Weinstein - Vice Chairman for Faculty Appts. pending budgetary approval, effective Fall 1981 at the Asst. Prof. level (or Associate Prof. level with tenure for individuals with Professorship in Mathematics, starting date exceptional qualifications who currently & salary negotiable, in the areas of algebra, hold non-tenured positions), in the areas of analysis, applied mathematics, foundations, algebra, analysis, applied math., foundations, or geometry. Very substantial achievement or geometry. Applicants should have demon­ and capacity to furnish scientific leadership strated potential in research & teaching. Send required. Breadth of mathematical interest by Jan. 15, 1981, curriculum vitae, list of desired. Send by February 15, 1981, curric­ publications, a few selected reprints or pre­ ulum vitae, list of publications, and names prints, & the names of three referees. The of three referees. The University of University of California is an Affirmative California is an Affirmative Action Employer. Action Employer.

CBMS REGIONAL CONFERENCE SERIES IN MATHEMATICS (Supported by The National Science Foundation) THE MATHEMATICS DEPARTMENT POLYNOMIAL RINGS AND AFFINE SPACES of the by Masayoshi Nagata UNIVERSITY OF FLORIDA

This volume contains expository lectures from the announces the opening of a tenure-track assistant Conference Board of the Mathematical Sciences Region­ professorship beginning August, 1981. Those al Conference held at Northern Illinois University on applying for this position should have demon­ July 25-29, 1977. strable research potential. The academic year In addition to an Introduction and References. the salary for this position will be between $16,129 Table of Contents is: and $18,212. Elementary properties of polynomial rings Affine spaces and projective spaces Applicants should provide a resume, a list of Ruled surfaces and rational surfaces publications, and should arrange for at least three Automorphism groups of polynomial rings letters of reference to be sent to: Cremona groups Group actions on affine rings Mark L. Teply Complete reducibility of rational representations Chairman, Search and Screen Committee Rings of invariants Department of Mathematics Some remarks on orbits University of Florida Number 37 40 pages Gainesville, Florida 32611 List price $7.40: individual price $3.70 ISBN 0-8218-1687-X: LC 78-8264 The application deadline is January 28, 1981. The Publication date: July 31, 1978 University of Florida is on equal opportunity To order, please specify CBMS 37 employer.

Prepayment is required. Send to AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901

653 UNIVERSITY OF UTAH Department of Mathematics invites applications for the following positions 1. Three or four 3-year instructorships. Persons of any age receiving Ph.D. degrees in 1980 or 1981 are eligible. Applicants will be selected on the basis of ability and potential in teaching and research. Starting salary will be $18,000. Duties consist of teaching two courses through the academic year. 2. One visiting position of one year or less. Selec­ tion criteria will be teaching ability and poten­ Am Seminar furAngewandte Mathematik der tial contribution to our research environment. Universitiit Zurich ist eine Professur (Ass. Professur 3. One or two assistant professorships with par­ oder Extraordinariat) zu besetzen. ticular interest in Probability, Statistical, and Gedacht ist an einen Vertreter der Applied Mathematics, but other areas will be considered. Angewandten Statistik oder Biomathematik. Applications should include curriculum vita, Zu den Aufgaben des Stelleninhabers gehoren bibliography and references and should be sent by Kurs-Vorlesungen sowie die Betreuung eines March 1, 1981 to: Beratungsdienstes fur Biologen. Bevorzugt werden Ms. Sylvia Morris Bewerber, die mit biologischen Fragestellungen Committee on Staffing vertraut sind. Department of Mathematics Bewerbungen sind mit den ublichen Unterlagen bis University of Utah zum 15. November 1980 zu senden an den Dekan Salt Lake City, Utah 84112 der Philosophischen Fakultiit II der Universitiit The University of Utah is an equal opportunity - Zurich, Riimistr. 71, CH-8006 Zurich. affirmative action employer.

KUWAIT UNIVERSITY Applications are invited for posts as professors, associate professors and assistant profes­ sors for the academic year commencing September 1, 1981, in computer science, opera­ tions research, statistics and numerical analysis. Initial contracts may be entered for a maximum of three years and are renewable upon mutual agreement of both parties. Applicants must have a Ph.D. or equivalent. Application forms may be obtained from: Embassy of the State of Kuwait Kuwait University Office 4201 Connecticut Avenue N.W., Suite 404 Washington, DC 20008 Completed applications together with non-returnable copies of academic qualifications and representative pub I ications must be received in this office by December 15, 1980. Appointments are governed by the following considerations: 1. Rank and salary will be determined according to present academic position, quali­ fications and years of experience. There is no Kuwaiti income tax deduction. 2. Annual return air tickets to the country of citizenship or permanent residence are provided to spouse and three children not exceeding the age of twenty. 3. Free furnished accommodations with utilities supplied. 4. Education allowance for school-age children. 5. End of service gratuity equal to one month's basic salary for each year spent in the service of the University. English is the language of instruction in the Department of Mathematics.

654 The "Ann ales de Ia Faculte des Sciences de Tou­ louse" have published 78 volumes since 1897. Thomas Stielties in his short life, was one of the f1rst editors of this journal. The" Annales" were mainly de­ voted to mathematical research, and published papers by E. Picard, Liapounov, P. Appell, P. PROCEEDINGS Painlevl!, E. Borel, D. Hilbert, D. Klein and H. Poincare. The publication stopped in 1968 and of the started again in a "new series" in 1979. CONFERENCE ON SEMIGROUPS ANNALES in honor of DE A. H. CLIFFORD LA FACULTE Tulane University DE DES SCIENCES September 1-3, 1978 TOULOUSE Available from Editorial Policy. The main purpose of the "Annales" is to publish original mathematical research papers, Mathematics Research Library especially in analysis and its applications to geom­ etry, probability, theoretical mechamcs and number Gibson Hall, Tulane University theory. New Orleans, Louisiana 70118 Associated Editors: M. ATTEIA, A. BRUNEL, H. BREZIS, Y. CHOQUET-BRUHAT, A. CRUMEYROLLE, $8.00 to cover the cost of duplicating and shipping C. DUVAUT, M. HERVE, ). J. MOREAU, M. WALD­ SCHMIDT. Editorial Board: D. BANCEL, G. LET AC, ). MAUSS. Order form . Specimen copy: ANNAlES FACUl TE DES SCIENCES DE TOUlOUSE UNIVERSITE PAUl SABA TIER 31062. TOUlOUSE. FRANCE

Notes in Banach Spaces Notes on the Witt Classification of Edited by H. Elton Lacey Hermitian lnnerproduct Spaces over a Covers several aspects of Banach spaces, including a Ring of Algebraic Integers number of topics which have never before been treated By P. E. Conner in expository form. The contents are as follows: "Inte­ Intended to give mathematicians at the graduate level gration in Banach Spaces," by Hui-Hsiung Kup; .. and beyond some powerful algebraic and number "Lectures on Matrix Transformation of 1• Spaces, by theoretical tools for formulating and solving certain Grahame Bennett; "Geometry of Finite Dimensional types of classification problems in topology. The Banach Spaces and Operator Ideals," by Aleksander contents are as follows: Chapter I. Relative Quadratic Pelczynski; "Factorization, Tensor Products, and Extensions: Extensions of primes, Hilbert symbols, Bilinear Forms in Banach Space Theory," by John E. The group Gen(E/ F), The group lso(E/ F), The unrami­ Gilbert and Thomas J. Leih; "Characterization of Bauer fied case, and Examples. Chapter II. The Witt Ring Simplices and Some Other Classes of Choquet H(E): General definitions, Anisotropic representatives, Simplices by Their Representing Matrices," by Y. Invariants for H(E), and Algebraic number fields. Chap­ Sternfeld· "The Modulus of Convexity of Lorentz and ter 111. Torsion Forms: Torsion Oe-modules, The quo­ Orlicz Sequence Spaces," by Z. Altshuler; "Applica­ tient E/K Torsion innerproducts, Localizers, and The tions of Ramsey Theorems to Banach Space Theory," inverse different. Chapter IV. The Group Hu(K): Basic by E. Odell; "Banach Lattices and Local Unconditional definitions, The group lso(E/F) again, The Knebusch Structure," by S. J. Bernau and H. E. Lacey; and "A exact sequence, Localization, Computing Hu(K), The Unified Approach to the Principle of Local Reflexivity," ring H(O.), and The cokernel of S. Chapter V. The Witt by S. J. Bernau. $30.00 Ring W(O.): Symbols, The boundary operator, and The ring W(O.). $15.00

y L 0§) 6 ~ b.L....______, L------~ POST OFFICE BOX 7819 University Of Texas Press AUSTIN, TEXAS 78712

655 SCUOLA NORMALE SUPERIORE PISA- ITALY

ANN ALl DELLA SCUOLA NORMALE SUPERIORE Dl PISA CLASSE Dl SCIENZE An International Journal in Mathematics Managing Editor: E. Vesentini Editors: tA. Andreotti, M. F. Atiyah, I. Barsotti, E. Bombieri, L. Carleson, G. Colombo, E. De Giorgi, j. Dieudonne, S. Faedo, H. Grauert, j. Leroy, H. Lewy, j. L. Lions, E. Magenes, L. Nirenberg, G. Prodi, L. A. Radicati di Brozolo, C. A. Truesdell Published: quarterly Subscription Rate: U.S. $60 for 1980 Back Volumes: available at U.S. $60 for each yearly volume. The journal is published from 1871

OTHER RECENT PUBLICATIONS Proceedings of International Conferences on SEVERAL COMPLEX VARIABLES, Cortona, June 1976 and July 1977. pp. 286, $7. Special volume of the Annali collecting papers dedicated in honour of JEAN LERAY, 1979, pp. 1024,$65. Special volume of the Annali collecting papers dedicated in honour of HANS LEWY, 1979, pp. 666, $40. M. F. ATIYAH, Geometry of Yang-Mills Fields, 1979, pp. 98, $10.

ORDERS must be prepaid and should be addressed to: ANNALI DELLA SCUOLA NORMALE- CLASSE Dl SCIENZE SCUOLA NORMALE SUPER I ORE - 56100 PISA (ITALY)

THE GUIDO STAMPACCHIA PRIZE NOTIFICATION OF AN INTERNATIONAL COMPETITION To honour the memory of Guido Stampacchia, a competition for a prize in his name of FIVE MILLION lire has been created by the Scuola Normale Superiore, Pisa, with financial help from the National Research Council. The Prize will be awarded for work devoted to the following subject: New problems on differential equalities or inequalities, or the calculus of variations in presence of unilateral constraints. Monographs or other lengthy works published between January 1st 1980 and December 31st 1981, or unpublished manuscripts, will be taken into consideration. Those wishing to compete are requested to send their publications or manuscripts to the following address by December 31st 1981 : THE GUIDO STAMPACCHIA PRIZE COMMITTEE c/o Scuola Normale Superiore 7, piazza dei Cavalieri 1-56100 Pisa, Italy This subject has been chosen for the competition because, on the one hand, it links up with research carried out by Guido Stampacchia at the end of his life, and, on the other, it offers great scope for development both because of the variety of problems still unsolved in this connection (for instance, elliptic problems with thin irregular obstacles, penalization and stability in relation to obstacles, the movement of a mechanical system in the presence of uni­ lateral constraints, ... ) and because of the methods for solving them. Scuola Normale Superiore The Director Pisa, February 1980. Edoardo Vesentini

656 52NOraRpThHs-HaOnLLAd Vanderbilt Ave ND .. New PUBLISHING York. N.Y. 10017/ COMPANY P.O. Box 211. 1000 AE Amsterdam. The Netherlands _ G AN~ES ~ 1=- techniques of this branch of dependent Families of Dirac tJ Distri· mathematics. With this in mind, butions at a Point. 10. Support and the material in chapters one to Local Properties. Final Remarks. Ap· seven is presented in such a way pendices: 1. Neutrix Calculus and by CLAUDE FRANC(OIS PICARD. that it is almost self-contained. Negligible Sequences of Functions. 2. The Embedding Impossibility NORT H· HOL LAN D MATHE· There is also a descriptive Result of L. Schwartz. 3. A Nonlinear MATICS STUDIES, Vol. 32 chapter, (chapter 8), about the Extension of the Lax-Richtmyer 1980. xiii + 432 pages Atiyah-Singer Index Theorem, Equivalence Between Stability and Price: us $39.00/Df/. 80.00 undoubtedly one of the most im- Convergence of Difference Schemes. ISBN D-444·85239·5 portant mathematical results of 4. The Cauchy-Bolzano Quotient AI· = the last two decades. The book gebra Construction of the Real Num· _ = In a particularly keen and lucid also contains an introductory bers. References. _ 1=== manner this book presents the chapter (chapter 0) on the results -= -=--= - mathematical theory of ques· of Topological K·Theory which ttonnaires and their applications are pertinent to the development Analysis of Variance to the decision sciences. Ques- of this book. edited by P.R. KRISHNAIAH. _ 5- tionnaires constitute a mathe· _ 5 matlcal model of the choice or Nonll"near Partl'al HANDBOOK OF STATISTICS, = ii5 decision phenomena. The author Vol. 1 --- I therefore has defined them as a Differential 1980. xvi + 1002 pages _=_-_- __-_-_- ~= valuated graph which can treat Equations Price: us $134_251of/. 275.00 and transmit a certain quantity Customers subscribing to this = of information. Sequential and Weak · · 1 d 15"' d' --- ~ While the first seven chapters of Solutions ~~~~f are enttt e to a ro ts· ~=-=---=- ~ this book contain material dis· ISBN o-444•85335·9 _ = cussed in Dr. Picard's previous by ELEMER E. ROSINGER. 1 publication, Theories de Graphs NORTH-HOLLAND MATHE· The field of statistics is growing 5 et de !'Information, the material MATICS STUDIES, Vol. 401 at a rapid pace and seems to be = assembled In this work has Notas de Matem,tlca (73). playing the role of a common ~ never before been published. denominator among all the

==== The construction of question· 1980. 334 pages scientists besides having pro- naires, optimal progress, the Price: US $39.00/Dfl. 80.00 found influence on such matters measurement of treated and ISBN D-444·86055-x as public policy. So there is a

==== transmitted information, length The book presents an original great need to have comprehen· and cost are all dealt with in algebraic approach for the study sive self-contained reference -~======- detail.are the Of problems special interestpresented too, at ofequations. nonlinear The partial weak differential solutions tionbooks on tovarious disseminate aspects foinforma- stat is· the end of the book. are seen as elements in quotient tical methodology and applica- This volume will contain much algebras containing the distri· tions. The series "Handbook of food for thought not only for butions. The method establishes Statistics" has been started in mathematicians especially in· a strong and natural connection an attempt to fulfill this need. terested in combinatorial theory, between the weak solutions of Each volume in the series is but for the computer scientist, nonlinear partial differential devoted to a particular topic in program analyst and statistician equations and the theory of alge- statistics. The material in these as well. bras of continuous functions. It volumes is essentially exposito- deals with the following prob· ry In nature, and, in general, the 1 1 t d t • r 1 1 proofs of the results are not in· Some Applications ems rea e 0 sequen Ia so u- eluded. This first volume in the tions' of polynomial nonlinear of Topological PDEs: existence, stability, series is devoted to the area of resolution of singularities and analysis of variance (ANOVA), K·Theory regularity. which was developed by R. A. by N. MAHAMMED, Fisher and others, and has R. PICCININI, and U. SUTER. CONTENTS: Chapters: 1. Sequential emerged as a very important Solutions of Nonlinear PDEs. 2. branch of statistics. An attempt NORTH-HOLLAND MATHE· Necessary and/or Sufficient Condi· MATICS STUDIES, Vol. 451 tions for the Existence of Sequen­ has been made to cover most of Notas de Matem4tica (74). tial SOlutions. 3. Algebras Contain· the useful techniques in ing the Distributions. 4. Resolution univariate and multivariate 1980. viii + 318 pages of Singularities of Weak Solutions ANOVA In this volume. The Price: US $41.50/Dfl. 85.00 for Polynomial Nonlinear PDEs. 5. chapters are written by promi· ISBN D-444·86113·0 Stability and Exactness of Sequen· nent workers in the field for per· In this book the authors syste· tlal and Weak Solutions for Polyno· sons who are not specialists on mial Nonlinear PDEs. 6. Characteri· the topic. Thus, the volume will matlcally present some applica­ zatlon of the Necessary Structure of tions which are more or less ac· the Algebras Containing the Distri· appeal to the whole statistics cessible to a graduate student or butions. 7. Quantum Scattering in community, as well as to scien­ to the non-specialist in Alge­ Potentials Positive Powers of the tists in other disciplines who are braic Topology, who has some Dirac tJ Distribution. 8. Products with interested in statistical metho· feeling for the concepts and Dirac tJ Distributions. 9. Linear In· dology.

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