Notices of the American Mathematical Society
November 1984, Issue 237 Volume 31 , Number 7, Pages 737- 840 Providence, Rhode Island ·USA JSSN 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 o(fice 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# DATE PLACE ABSTRACT DEADLINE ISSUE 816 January 9-13, 1985 Anaheim, California EXPIRED January (91st Annual Meeting) 817 March 22-23, 1985 Chicago, Illinois January 23 March 818 April 12-13, 1985 Tucson, Arizona January 25 March 819 April 20-21, 1985 Worcester, Massachusetts January 28 March 820 May 3-4, 1985 Mobile, Alabama January 30 March 821 August 12-15, 1985 Laramie, Wyoming (89th Summer Meeting) October 26-27, 1985 Amherst, Massachusetts November 1-2, 1985 Columbia, Missouri January 7-11, 1986 iNew Orleans, Louisiana (92nd Annual Meeting) January 21-25, 1987 San Antonio, Texas (93rd Annual Meeting) January 6-11, 1988 Atlanta, Georgia (94th Annual Meeting) August 8-12, 1988 Providence, Rhode Island (AMS Centennial Celebration l
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January 7-8, 1985, AMS Short Course: Fair Allocation, Anaheim, California. May 1985, Symposium on Some Mathematical Questions in Biology, Plant Biology, Los Angeles, California. June 23-August 31, 1985, Joint Summer Research Conferences in the Mathematical Sciences, Humboldt State University, Arcata, California. June 30-July 13, 1985, AMS-SIAM Summer Seminar on Reacting Flows: Combustion and Chemical Re actors, Cornell University, Ithaca, New York. July 8-26, 1985, AMS Summer Research Institute on Algebraic Geometry, Bowdoin College, Brunswick, Maine.
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Volume 31, Number 7, November 1984 EDITORIAL COMMITTEE Paul F. Baum, Ralph P. Boas Raymond L. johnson, Mary Ellen Rudin Bertram Walsh, Daniel Zelinsky 739 L-Series of Elliptic Curves, the Birch-Swinnerton Everett Pitcher (Chairman) Dyer Conjecture, and the Class Number Problem of MANAGING EDITOR Gauss, Lincoln K. Durst D. Zagier ASSOCIATE EDITORS 744 28th Annual AMS Survey Hans Samelson, Queries Ronald L. Graham, Special Articles Faculty Salaries, Tenure, Women, 744 SUBSCRIPTION INFORMATION Salaries of New Doctorates, 749 Subscription prices for Volume 31 (1984) 1984 Survey of New Doctorates, 754 are $50 list; $25 member. (The subscrip· Doctoral Degrees Conferred in 1983-1984, 757 tion price for members is included in the (1982-1983 Supplement, 770} annual dues.) A late charge of 10% of the subscription price will be imposed upon 771 Mathematics Salaries: Up and Competitive, orders received from nonmembers after R. D. Anderson january 1 of the subscription year. Sub 772 Mathematics and Technology, scribers outside the United States and India must pay a postage surcharge of Robert Hermann $5; subscribers in India must pay a 774 News and Announcements postage surcharge of $15. Subscrip- 778 Letters to the Editor tions and orders for AMS publications should be addressed to the American 783 NSF News & Reports Mathematical Society, P.O. Box 1571, 784 Queries Annex Station, Providence, Rl 02901. All orders must be prepaid. 786 AMS Elections of 1984 787 Future Meetings of the Society ORDERS FOR AMS BOOKS AND INQUIRIES ABOUT SALES, SUBSCRIP Anaheim, january 9-73, 787 TIONS, AND DUES may be made by Chicago, March 22-23, 790 calling Carol-Ann Blackwood at Tucson, April 72-73, 791 800-556-7774 (toll free in U.S.) between Worcester, April 20-27, 793 8:00a.m. and 4:15p.m. eastern time, Monday through Friday. Tucson, May 3-4, 795 Invited Speakers and Special Sessions, 796 INFORMATION ABOUT ADVERTISING 798 Joint Summer Research Conference Series in the Notices may be obtained from Wahlene Siconio at 401-272-9500. 799 1985 AMS-SIAM Summer Seminar CORRESPONDENCE, including changes 800 Special Meetings of address should be sent to American 804 New AMS Publications Mathematical Society, P.O. Box 6248, 806 Miscellaneous Providence, Rl 02940. Personal Items, 806; Deaths, 806; Second class postage paid at Providence, Rl, and additional mailing Visiting Mathematicians (Supplement}, 806; offices. Copyright © 1984 by the Application Deadlines, 807 American Mathematical Society. 809 Advertisements Printed in the United States of America. 834 Preregistration Forms The paper used in this journal is acid-free and falls within the guidelines established Employment Register, 834, 835, 836 to ensure permanence and durability. Anaheim Preregistration and Housing, 837, 838 The following article is the eighth in the series of Special Articles published in the Notices. Its author, DoN ZAGIER, studied at M.I.T. as an undergraduate (B.S. in mathematics and B.S. in physics, in 1968) and did graduate work at Oxford (D.Phil., 1972) where he worked with Atiyah and Hirzebruch. Since that time he has worked at Bonn, ETH (Zurich), IHES (Bures-sur-Yvette) and Harvard. Since 1979 he has been a professor at the University of Maryland; he is also a member of the Max Planck Institute for Mathematics in Bonn. His primary research interests are number theory and the theory of modular forms. The series of Special Articles was created to provide a place for articles on mathematical subjects of interest to the general membership of the Society. The Editorial Committee of the Notices is especially interested in the quality of exposition and intends to maintain the highest standards in order to assure that the Special Articles will be accessible to mathematicians in all fields. The articles must be interesting and mathematically sound. They are first refereed for accuracy and (if approved) accepted or rejected on the basis of the breadth of their appeal to the general mathematical public. Items for this series are solicited and, if accepted, will be paid for at the rate of $250 per page up to a maximum of $750. Manuscripts to be considered for this series should be sent to Ronald L. Graham, Associate Editor for Special Articles, Notices of the American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940. L-Series of Elliptic Curves, the Birch-Swinnerton-Dyer Conjecture, and the Class Number Problem of Gauss by D. Zagier
1. Elliptic curves over Q. Consider a Diophan these agree. It is known exactly what groups 1 tine equation in two variables, i.e., a polynomial can occur: 1 has the structure Z/(2n-1)Z, Z/2nZ, equation f(x, y) = 0 with rational coefficients or Z/2Z X Z/2nZ for some n EN, depending on which we want to solve in rational numbers. whether 4x3 - ax- b in (1) has 0, 1, or 3 rational Already in the works of Diophantus it is clear roots (this is elementary), and a deep theorem of that the level of difficulty of this problem is Mazur (1977) says that n is then ~ 5, ~ 6, or ~ 4, very different for different classes of polynomials respectively, all fifteen cases occurring infinitely f. If f is quadratic, then, given one solution often. As for r, it is known by recent examples (xo, y0 ), one can find all solutions in terms of a of Mestre (1983, 1984) that values as large as 14 rational parameter t by solving the linear equation occur, and it is conjectured that all values can (1/u)f(xo +u, y0 +tu) = 0 (this method was used occur. sporadically long before, and systematically by, By (2) the number of rational solutions of Diophantus). For cubic and certain quartic j, f(x, y) = 0 is finite or infinite according to whether there are methods in Diophantus' works-and r = 0 or r > 0. In fact, we can even get later much more extensively in Fermat's-for an asymptotic estimate for the number .A/(A) studying the rational solutions of f = 0 and, of rational solutions P = (x, y) for which the particularly, for constructing new solutions out numerator and denominator of x are less than A of known ones. For higher degree f no general in absolute value, namely method for getting solutions has ever been found. 2 Poincare realized that this division into three (3) .AI(A) ~ C(log A)'l (A_,. oo) classes depends on the topology of the set of with the same r as in (2) and some C > 0. complex points of the curve X defined by the Indeed, part of the proof of (2) consists of equation f(x,y) = 0 (or rather by its projective showing that there is a positive definite quadratic version f(x, y, z) = 0), i.e., on the genus g of the form ("heighe') h : E(Q) 0 R __,. R with h(P) Riemann surface X( C). If g = 0 the set of rational log max {I num x(P)I, Iden x(P)I} bounded (such points X(Q), if nonempty, is isomorphic to P1 (Q). an h is clearly unique). Equation (3) follows by If g = 1 then X(Q), if nonempty, has the structure counting points in an r-dimensional ellipsoid of of an abelian group. (In this case the curve can diameter ~ (log A)112 , the constant C being given always be put into the standard Weierstrass form by 2 3 (1) y =4x -ax-b (a,bEZ), 1fr /2 111 (4) C=---- and the group structure is 0 = point at infinity, (r/2)! y!R' -P = (x,-y) if P = (x,y), P+Q+R = 0 if where R (the regulator) is the determinant of the P,Q,R E X(Q) are collinear.) If g ~ 2 then symmetric r X r matrix defining h w.r.t. a Z-basis we know by Faltings' recent work that X(Q) is of E(Q)/1 (so R = 1 if r = 0, R = h(Po) if r = 1 a finite set ("Mordell conjecture"); no further and P0 is a generator of E(Q)/ 1). Note that (3) structure is known. The most interesting case yields an elementary definition of both r and the from a Diophantine point g of view is thus = 1, in ratio R/111 2 which does not refer at all to the which case X we call an elliptic curve and write group structure on E(Q). As examples, we have E instead of X. Here Poincare conjectured, and (a) Fermat's equation a3 + b3 = c3 (which can Mordell proved, that the abelian group E(Q) is be put into Weierstrass form y2 4x3 - 27 by a finitely generated; the structure theorem for such = = groups then gives y-9, b = 6x, c = y+9); here r = 0, C = 111 = 3; (b) y2 - y = x3 - x; here r = 1, 111 = 1, C =
(2) E(Q) ~ zr EB 1 8.8464916. 0 .; (c) y2 = 4x3 -28x+25; here r = 3, 111 = 1, C = for some ~ integer r 0 and some finite abelian 6.48553546 ... (cf. [2]). group 1. For a given curve E one can find 1 by a finite algorithm, while for r we can get upper 2. The conjecture of Birch and Swinnerton bounds by descent (Fermat) and lower bounds by Dyer. Around 1960, Birch and Swinnerton-Dyer exhibiting independent solutions; if we are lucky, formulated a conjecture which determines r, and
739 to some extent C, in {3). The idea is that we should have r = 0, R = 1); in certain cases one a curve with a large value of r (or, given r, can show that it is a rational square multiple. with a large value of C) has an especially large 2. If E has complex multiplication {for elliptic number of rational points and should therefore curves over Q this happens if and only if the have a relatively large number of solutions modulo J·-invariant 1728a3 f(a3 - 27b2) takes on a prime p on the average as p varies. More one of thirteen integral values 0, 1728, precisely, let N{p) be the number of pairs of -3375, ..., -262537412640768000), then m = 0 => integers x, y (mod p) satisfying (1) as a congruence r = 0, i.e., if LE(1) ¥- 0 then {1) has only finitely (mod p); then the BSD conjecture in its crudest many rational solutions. form says that we should have an asymptotic 3. If Eisa Weil curve, then m = 1 => r ~ 1, i.e., formula if LE(1) = 0 and L~(1) ¥- 0 then {1) has infinitely many rational solutions. N(p) 1 C1(log (5) II + ~ Pt (x---+ oo) 4. If Eisa Weil curve with LE(1) = 0 and r = 1, p
740 even or odd according to whether the sign of the hence, infinite order in E(Q). Moreover, by 1 functional equation of LEis +1 or -1, and this in we know that LE(dJ(1)/0E
741 purported equality had been calculated explicitly with an effectively computable constant Co(E) by as a sum of about a dozen terms, some of them Heeke's theorem; if Ld0 (s) has such a zero for qu.ite coi?plicated; these matched perfectly, and some discriminant do, then h(d) > C1(E)jdjl/2-• thts provtded the proof-without, however, giving for all d, where C1(E) is given explicitly but the least inkling of why the height of the Heegner depends on do. Thus, to decide, say, whether point and the derivative of the L-series should there is ad< -907 with h(d) = 3, we must either have anything to do with one another. It is to ~now that the generalized Riemann hypothesis be hoped that this rather unsatisfactory state of ts true, or else have our hands on a particular affairs will eventually change. ~o~nterexample; until we have this, the problem ts m some sense just as unsolved as if Siegel's 4. Application to the class number problem result were unknown. of Gauss. Of the three consequences of (9) and (10) given in §2, the last one-the assertion No further progress was made on the problem of the existence of a single elliptic curve with for general values of h for the next forty years, m = 3-appears to be the most special and although the special (and most interesting) case of least interesting. Yet it is this result which class number 1 was solved by important work of leads to the most dramatic application the final Heegner (1952) and Baker and Stark (1969); the solution of a problem stated by Ga~ss nearly last two authors also settled the case h = 2 but 200 years ago. The problem concerns class the methods failed for larger class numbers.' The numbers of binary quadratic forms and appears final breakthrough came in 1975, when Dorian at first sight very remote from questions about Goldfeld proved a deep and entirely unexpected the Diophantine analysis of cubic equations· that theorem to the effect that the existence of a single there is a connection is a beautiful discovery 'made £-function with appropriate analytic properties by Goldfeld a few years ago. We review the and a zero of sufficiently high order at the history briefly. symmetry point of its functional equation could be used to give an effective lower bound for h( d) In Article 303 of the Disquisitiones Gauss which goes to infinity as d----> -oo. What Gross describes extensive computations of class numbers and I did was to produce such a function. of imaginary quadratic fields (or, rather, of posi piece tive definite binary quadratic forms, an equivalent Goldfeld's argument is a long and difficult problem) and observes that the sequence of dis of analytic number theory. A simplification and criminants with a given class number h seems to very clear exposition of it was given in a recent Bourbaki talk by Joseph Oesterle [4), which we e~d for each value h. Thus, the last d with h(d) = reader (this paper 1 ts apparently 163, the last with h = 2 427 and recommend to the interested also contains references to Goldfeld's work and the last with h = 3, 907 (Gauss uses ~ different normalization, so his values look different from to previou~ work on the class number problem). these). The proof of this remained an entirely Here we gtve only a brief indication of the way open problem for over a hundred years. Around that the L-series with a triple zero is used to 1916, Heeke showed that obtain analytic information. Suppose we have a discriminant d with ldl very large; we want to show that h = h(d) is also large. We may h(d) > c Jldf assume that the Legendre symbol (d/37) is 0 or log ldl -1, because if (d/37) = 1 then 37 is the norm of with an effective constant C if the L-series a prime ideal p in g,( Vd) and 37h is the norm of Ld(s) = "£(d/n)n-s has no zeros nears= 1, thus the principal ideal p and, hence, the norm of an solving Gauss's problem under the assumption integer (x + yVd)/2 (x, y E Z, y i' 0), so of the generalized Riemann hypothesis. Then, in 1933, Deuring showed that the falseness of 37h = x2 + y2jdj ~ the (ordinary) Riemann hypothesis would imply 4 > 4' h(d) > 1 for ldl large enough. This was a and we already have the desired effective lower decisive step, for, soon after, Mordell showed bound for h. From (d/37) = 0 or -1 it follows that h(d) goes to infinity with ldl if the Riemann that the L-series of E(d), where E is the particular hypothesis is false, and Heilbronn (1934) proved the same if the generalized Riemann hypothesis is ~ll~ptic cun:e mentioned in 5 of §2, has a minus sign m equation and, hence, the product false; together with Heeke's result, this provided tts functwnal an unconditional proof of Gauss's claim on the L(s) = LE(s)LE(dJ(s) has a functional equation sign (say "Y(s)L(s) = +1(2- s)L(2- s) finiteness of the set of d with a given value of h(d). with a plus of A year later Siegel proved the definitive result with an appropriate r-factor 1(s)) and a zero 1. hand of this type by showing that h(d) > C(E)jdjl/2-• order at least 4 at s = On the other the same argument which gave (d/37) i' 1 show~ as d ----> -oo for any E > 0. But his result, like -1 for all small primes p d (namely those of Deuring, Mordell, and Heilbronn was that (d/p) = f 1 ineffective in a very basic sense, since it said ~ll p < ld/4j 1k; in fact, with an argument given something like this: if no L-series has a zero in m [4, p. 10), one can extend this to all p < the interval [1- E/10, 1), then h(d) > Co(E)jdjl/2-• ld/4j1/(v'2h+l) with at most one exception). This
742 means that (d/n) = >.(n) for most small integers whether Pd = 0 on any Weil curve and for any n, where >.( n) is the Liouville function, defined d by a finite computation, but here there is a by >.(p1···Pr) = (-1Y for any primes P1,···,Pr· pretty argument, found by Gross, which requires But LE(dl(8) is the twist of LE(8) by (d/·) (i.e., essentially no calculation. The class number of if LE(8) = L:;a(n)n-8 , then LE
R(8) do not have the same qualitative behavior, 00 and this contradicts the above assertion that L(8) Ll(z)=q II (1-qn)24 (q=e2,.iz, zE,SJ), and R( 8) are close to one another if h is very n=l small compared to \dl- The actual contradiction is obtained by comparing the two integrals it now follows that the function
C+ioo 1(8)L(s) ~C+ioo i(8)R(8) (z) = 12 Ll(z) _ 3 + iy'l39 [ -7-'---~-::- ds and d8 C-ioo (s -1)3 C-ioo (8 -1)3 g Ll(37z) 2
(C any constant > 1). The first is identically zero - -3 oo ( 1 - qn )2 - 3 + iy'f39 because the fact that ord 8 =1 L(8) ~ 3 permits us to - q n:g:1 1 - q31n 2 move the path of integration from Re( 8) = C > 1 to Re(s) = 2- C < 1, and then the oddness of vanishes at z1, z2, and z3 . On the other hand, the integrand under s --+ 2 - 8 implies that the g(z) is r 0(37)-invariant, has a triple pole at z = integral is minus itself. The second integral is oo, and has no other poles (since Ll ¥- 0 in ,SJ), nonzero because it is dominated by the nontrivial so these are the only three zeros. Therefore, residue at 8 = 1; this residue has the form (zt) + (z2) + (z3 )- 3(oo) is a principal divisor on A log \d\+B, because R(s) is independent of d and Xo(37), so
743 28th Annual AMS Survey 1984 First Report The following pages contain a first report on the 1984 AMS Survey. Included in this report are salary and other data on faculty members in four-year colleges and universities, a report on the 1984 survey of new doctorates, a report on salaries of new doctorates, and a list of names and thesis titles for members of the 1983-1984 Ph.D. class. The Annual AMS Survey is conducted in two parts. Questionnaires were distributed in May to all departments in the mathematical sciences in colleges and universities in the United States and Canada, and later to the recipients of doctoral degrees granted by these departments between July 1983 and June 1984, inclusive. This report is based on the information collected from these questionnaires. A second round of questionnaires was distributed in September; these are concerned with data on fall enrollments, class size, teaching loads and faculty mobility. These data will be reported in the March 1985 issue of the Notices. This Survey is the twenty-eighth in an annual series begun in 1957 by the Society's Committee on the Economic Status of Teachers. The present Survey is under the direction of the Committee on Employment and Educational Policy (CEEP), whose members are Lida K. Barrett, Stefan A. Burr, Lis! Novak Gaal, Gerald J. Janusz, Irwin Kra, and Donald C. Rung (chairman). The questionnaires were devised by CEEP's Data Subcommittee consisting of Lida K. Barrett, Susan J. Devlin, Lincoln K. Durst, Wendell H. Fleming, Arthur P. Mattuck, and Donald C. Rung (chairman).
Faculty Salaries, Tenure, Women
The questionnaries sent to departments in the Groups I and ll include the leading departments mathematical sciences asked for information on of mathematics in the U.S. according to the 1982 salaries and tenure. Departments submitted a assessment of Research-Doctorate Programs conducted minimum, median, and maximum salary figure by the Conference Board of Associated Research for each of four academic ranks, for staff members Councils in which departments were rated according to the quality of their graduate faculty.1 both with and without doctorates. Annual salaries of full-time faculty members for the academic Group I is composed of 39 departments with scores in the 3.0-5.0 range. year of 9 or 10 months were sought. The 1984 questionnaire requested information for both the Group ll is composed of 43 departments with scores in the 2.0-2.9 range. years 1983-1984 and 1984-1985. The sample in this survey is thus the same for both years and Group m contains the remaining U.S. departments reporting a doctoral program. is different from the sample used in the Twenty Group IV contains U.S. departments (or programs) AMS In Seventh Survey in 1983. the salary tables of statistics, biostatistics and biometrics reporting a on the following pages the numbers in parentheses doctoral program. give the range of the middle fifty percent of salaries Group V contains U.S. departments (or programs) reported. The figures outside the parentheses in applied mathematics/applied science, operations represent the mimimum and maximum salary research and management science which report a listed by any reporting institution. In some doctoral program. categories relatively few departments reported Group VI contains doctorate-granting departments and, because significant figures were not available, (or programs) in the mathematical sciences in Canadian salaries are not listed. universities. The information reported this year on the Group M contains U.S. departments granting a number of faculty members is based on returns master's degree as the highest graduate degree. from 675 departments in the mathematical Group B contains U.S. departments granting a sciences, 101 of which did not contain usable baccalaureate degree only. salary information. 1 These findings were published in An Assessment of Research-Doctorate Programs in the United States: For these reports, the departments are divided Mathematical and Physical Sciences, edited by Lyle V. into groups according to the highest degree Jones, Gardner Lindzey, and Porter E. Coggeshall, offered in the mathematical sciences. The National Academy Press, Washington, D.C., 1982. The doctorate-granting departments are in six groups information on mathematics, statistics and computer as described in the box. science was presented in digest form in the April 1983 issue of the Notices, pages 257-267, and an analysis of the above classifications was given in the June 1983 Notices, pages 392-393.
744 TABLE 1: Total Faculty Reported for Four-Year Colleges and Universities
1983-1984 1984-1985
FAQJLTY WJ!>lEN FAOJLTY WJMEN
With With With Wit.'! Total Tenure Total Tenure Total Tenure Total Tenure WITHOur IXlCI'ORATE Instructor/Lecturer 835 56 487 30 866 49 497 23 Assistant Professor 516 285 136 68 509 263 135 66 Associate Professor 341 323 41 36 336 312 41 34 Professor 94 92 7 7 92 91 9 9 1786 756 671 141 1803 715 682 132
WITH IXlCI'ORATE
Instructor/Lecturer 253 20 46 3 212 21 40 3 Assistant Professor 1889 199 299 34 1967 178 316 30 Associate Professor 2459 2164 199 160 2474 2140 221 179 Professor 3929 3876 158 153 4071 4010 176 173 8530 6259 702 350 8724 6349 753 385
TABLE 2: Percent of TABLE 3: Response Rates Doctorate Faculty with Tenure U.S. Departments Fall1983 Fall1984 Group I II ill IV V M B Groups I, II, ill 74.0% 76.5% %Response 77 77 71 63 30 47 33 Groups IV, V 63.5% 67.0% Canadian Departments Group VI 90.1% 90.5% Masters and Bachelors 68.0% 69.9% Group VI % Response 43
Response Rates. Response rates among the relative changes from one year to the next with various classes of departments vary widely, thus somewhat more confidence. This year's response making it difficult to draw firm conclusions about rates are given in Table 3. As in past years, the studied. Because the sizes of the faculty groups greatest rates of response are in Groups I, II, and data for two years the questionnaires request m, which have a combined response rate of 7 4%. in a row, however, it is possible to estimate
745 Faculty I SIZE OF FACUL TV Salaries 1983-1984 1984-1985 FACULTY WOMEN FACULTY WOMEN 1983-1984 1984-1985 With With With With Total I!!!!!!! Total Tenure ~ !"!!!!!!! Total Tenure Minimum Median Maximum Minimum Median Maximum
DOCTORATE GRANTING DEPARTMENTS. Group I (30 of 39 reporting)
WI'l'fKXJr oocroRATE Instructor/Lecturer 7 2 5 2 7 2 5 2 Assistant Professor 1 1 0 0 1 1 0 0 Associate Professor 3 3 0 0 3 3 0 0 Professor 1 1 0 0 1 1 0 0 12 7 5 2 12 7 5 2
WITH oocroRATE Instructor/Lecturer 63 2 10 0 39 3 5 2 105 ( 200-225) (210-230) (210-235) 332 113 ( 210-250) (210-250) (230-251) 398 Assistant Professor 184 4 18 0 182 3 17 0 180 ( 209-239) (225-255) (245-275) 310 210 ( 220-259) (240-278) (262-310) 330 Associate Professor 191 180 14 13 184 169 11 11 237 (248-303) (278-315) (306-347) 429 237(266-323) (307-350) (331-380) 450 Professor 859 858 26 26 886 885 28 28 262(308-362) (405-502) (580-662) 800 262 ( 318-378) (435-554) (641-735) 900 -...! .j:>. 1297 1044 68 39 1291 1060 61 39 "' DOCTORATE GRANTING DEPARTMENTS. Group II (33 of 43 reporting)
WITHO!Jr oocroRATE Instructor/Lecturer 89 6 57 3 87 6 52 2 123(143-193) (155-201) (179-226)331 150(158-193) (178-216) (185-253) 362 Assistant Professor 6 5 1 0 4 4 0 0 Associate Professor 12 11 3 2 10 9 3 2 Professor 4 4 0 0 3 3 0 0 111 26 61 5 104 22 55 4
WITH oocroRATE Instructor/Lecturer 56 3 7 0 55 3 8 0 175 (180-215) (183-217) (190-240) 320 165 (180-237) (190-239) (190-250) 320 Assistant Professor 256 24 29 5 249 14 33 3 175 (205-224) (225-260) (256-285)315 201 (215-242) (268-300) (242-270) 338 Associate Professor 369 351 20 16 350 335 22 20 204(231-273) (273-321) (310-360) 443 210 ( 250-300) (287-326) (330-384) 560 Professor 587 585 17 15 632 629 18 18 255 (295-340) (355-429) (506-641) 712 277 ( 310-366) (383-465) (545-705) 770 1268 963 73 36 1286 981 81 41
DOCTORATE GRANTING DEPARTMENTS. Group Ill (50 of 70 reporting)
WI'l'fKXJr oocroRATE Instructor/Lecturer 73 4 52 4 78 3 53 3 105(140-175) (143-198) (146-235) 290 117(144-200) (160-200) (170-214) 310 Assistant Professor 45 33 18 10 40 32 16 11 180 (208-240) (208-250) (215-256) 281 193 ( 217-252) (232-264) (232-271) 294 Associate Professor 18 18 1 1 19 19 1 1 220 (251-342) (269-342) (269-347)364 223 ( 254-377) (280-377) (280-377) 388 Professor 7 7 0 0 5 5 0 0 143 62 71 15 142 59 70 15
275 275
376 376
480 480
757 757
455 455
546 546 690 690
700 700
456-587) 456-587)
407-546) 407-546)
(541-639)830 (541-639)830
(310-387)504 (310-387)504
(260-310) (260-310)
(320-377) (320-377)
(600-668) (600-668)
(190-220) (190-220)
(363-430) (363-430)
(281-346)380 (281-346)380
( (
(508-700) (508-700)
( (
(255-294)354 (255-294)354
(290-408)408 (290-408)408
(417-541) (417-541)
(294-354) (294-354)
(248-285) (248-285)
(434-530) (434-530)
(178-215) (178-215)
(360-415) (360-415)
(270-324) (270-324)
(360-433) (360-433)
(285-330) (285-330)
(319-509) (319-509) (240-270) (240-270)
(265-338) (265-338)
(430-614) (430-614)
(324-449) (324-449)
(243-294) (243-294)
(280-340) (280-340)
(350-410) (350-410)
(220-250) (220-250)
(170-210) (170-210)
(332-450) (332-450)
(233-300) (233-300)
294 294
220 220
290 290
248(250-296) 248(250-296)
243(303-358) 243(303-358) 194(234-260) 194(234-260) 168 168
289(289-468) 289(289-468)
233 233
365(380-480) 365(380-480)
182 182
194 194
332 332
456 456
378 378
800 800
420 420
650 650
340 340
784 784
514 514
(511-601) (511-601)
(295-368) (295-368)
(256-277) (256-277)
(260-310) (260-310)
(431-538)701 (431-538)701
(309-355)438 (309-355)438
(237-276)323 (237-276)323
(564-645) (564-645)
(170-230)260 (170-230)260
(343-392) (343-392)
(505-784) (505-784)
(386-514) (386-514)
(260-408)408 (260-408)408
(410-522) (410-522)
(286-345) (286-345)
(238-266) (238-266)
(404-510) (404-510)
(160-199) (160-199)
(330-375) (330-375)
(245-294) (245-294)
(345-418) (345-418)
(269-310) (269-310)
(310-473) (310-473) (218-252) (218-252)
(211-338) (211-338)
(388-590) (388-590)
300) 300)
354-420) 354-420)
315-557) 315-557)
185-
( (
(156-198) (156-198)
(295-360) (295-360)
(287-335) (287-335)
(262-410) (262-410)
(201-238) (201-238) ( (
( (
266(316-423) 266(316-423)
212(271-331) 212(271-331)
282 282
230(230-284) 230(230-284)
207 207 173(220-250) 173(220-250)
331 331
156(228-275) 156(228-275)
150 150
262 262
315 315
182 182 185 185
0 0
5 5
0 0
0 0
0 0
0 0
0 0
8 8
0 0
0 0
0 0
0 0
0 0
0 0 0 0
0 0
0 0
0 0
20 20
0 0
36 36
0 0
11 11
4 4
0 0
8 8
21 21
12 12
7 7
2 2
0 0
0 0
2 2 0 0
0 0
0 0
4 4 4
0 0
4 4
0 0
0 0
0 0
23 23
6 6 5
1 1
40 40
3 3 3
81 81
0 0
11 11
6 6
I I
27 27
54 54
12 12
13 13
12 12
reporting) reporting)
reporting) reporting)
reporting) reporting)
53 53
0 0
65 65
1 1
3 3
1 1
0 0
0 0
2 2
28 28
7 7
0 0
28 28
0 0
6 6 3
1 1
I I
5 5
91 91
22 22
352 352
938 938
379 379
128 128 of of
106 106
101 101
151 151
of of
of of
6 6 2 2
3 3
1 1 1
6 6
2 2
1 1 1
2 2
0 0
25 25
0 0
I I
6 6
(16 (16
21 21
11 11
28 28 42 42
33 33
391 391
314 314
564 564 558
(41 (41
(12 (12
296 296 286
578 578
126 126
152 152
183 183
287 287 258 107 107
103 103
1294 1294
151 151
0 0
3 3
IV IV
V V
VI VI
0 0
0 0
0 0
0 0
1 1 4 1 2 1
0 0 6 6
0 0
0 0
0 0
0 0
4 4
0 0
0 0
0 0
0 0
20 20
6 6
1 1
31 31
3 3
0 0
4 4
2 2
18 18
11 11
11 11
7 7
8 8 8
2 2
0 0
0 0
2 2
0 0
0 0
0 0
4 4
5 5
0 0
Group Group
0 0
23 23
38 38 6 6
1 1
Group Group
76 76
3 3
0 0
6 6
3 3
Group Group
24 24
50 50
13 13
11 11
15 15
0 0
1 1
3 3
1 1
0 0
0 0
7 7
0 0
27 27
0 0 6 6 6 2
I I
7 7
84 84
25 25
350 350
927 927
550 550
281 281
369 369
127 127
268 268
102 102
149 149
9 9
8 8 2 3
3 3 3
1 1
5 5 1 2
1 1 1
2 2 1 1
27 27
3 3 3 1 1 2 2
3 3 3
1 1
1 1
I I
9 9
21 21
32 32
31 31
12 12
293 293
394 394
33 33
556 556
286 286
119 119
152 152
562 562
103 103
149 149
113 113 113
178 178 296 296
1270 1270
DEPARTMENTS. DEPARTMENTS.
DEPARTMENTS. DEPARTMENTS.
DEPARTMENTS. DEPARTMENTS.
GRANTING GRANTING
GRANTING GRANTING
GRANTING GRANTING
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Departments) Departments)
Professor Professor
Professor Professor
Professor Professor
OOCl'ORATE OOCl'ORATE
OOCl'ORATE OOCl'ORATE
OOCl'ORATE OOCl'ORATE
OOCl'ORATE OOCl'ORATE
OOCl'ORATE OOCl'ORATE
OOCl'ORATE OOCl'ORATE
OOCl'ORATE OOCl'ORATE
Instructor/Lecturer Instructor/Lecturer
Associate Associate
Assistant Assistant Professor Professor
WITH WITH
(Canadian (Canadian
DOCTORATE DOCTORATE
Instructor/Lecturer Instructor/Lecturer
DOCTORATE DOCTORATE
Instructor/Lecturer Instructor/Lecturer
Assistant Assistant Professor Professor
Professor Professor
Associate Associate
Instructor/Lecturer Instructor/Lecturer
WITHOUI' WITHOUI'
Associate Associate
Assistant Assistant
DOCTORATE DOCTORATE
Professor Professor
Instructor/Lecturer Instructor/Lecturer
Professor Professor
WITH WITH
Instructor/Lecturer Instructor/Lecturer
Associate Associate
Assistant Assistant
Professor Professor
WITHOUT WITHOUT
Professor Professor
WITH WITH
Associate Associate
Assistant Assistant
Assistant Assistant
WITHOUT WITHOUT
Associate Associate
WITH WITH
""' ""'
......
265 265
600 600 429 429
510 510
290 290
440 440 574 574
302 302
570 570
397 397
425 425
Maximum Maximum
(220-272)400 (220-272)400
(274-386) (274-386)
(235-311)438 (235-311)438
(200-265)344 (200-265)344
(171-213) (171-213)
(374-450) (374-450)
(301-353) (301-353)
(243-290)370 (243-290)370
(190-256) (190-256)
(323-389) (323-389)
(274-332) (274-332)
(233-290)361 (233-290)361
(174-227) (174-227)
Median Median
(289-375) (289-375) (291-397)
(250-310) (250-310) (259-331)
(216-253) (216-253)
(195-249) (195-249) (195-258)
(274-385) (274-385)
(232-304) (232-304)
(200-253) (200-253)
(168-203) (168-203)
(336-399) (336-399)
(277-324) (277-324)
(230-265) (230-265)
(183-250) (183-250)
(263-311) (263-311)
(225-271) (225-271)
(164-203) (164-203)
(323-389) (323-389)
1984-1985 1984-1985
205-239) 205-239)
254-290) 254-290)
180-239) 180-239)
(238-291) (238-291)
( (
(195-240) (195-240)
(160-197) (160-197)
(302-350) (302-350)
( (
( (
(215-256) (215-256)
(154-190) (154-190)
(323-389) (323-389)
Minimum Minimum
dollars) dollars)
188(275-354) 188(275-354)
170 170
211(274-367) 211(274-367)
170 170
140 140
165(231-295) 165(231-295)
127(192-241) 127(192-241)
250 250
117 117
200 200
260 260
212(255-308) 212(255-308)
179(215-249) 179(215-249)
130 130
172 172
of of
120 120
SALARIES SALARIES
hundreds hundreds
(in (in
350 350 280 280
486 486
250 250
406 406
531 531
292 292
355 355
530 530
372 372
330 330
304 304
Maximum Maximum
(274-375)556 (274-375)556
(240-310)417 (240-310)417
(188-250)316 (188-250)316
(160-200) (160-200)
(358-423) (358-423)
(280-330)420 (280-330)420
(230-280) (230-280)
(185-250) (185-250)
(315-379) (315-379)
Median Median
(270-355) (270-355)
(237-297) (237-297)
(203-240) (203-240) (210-254)
(170-221) (170-221) (170-255)
(250-344) (250-344) (250-344)
(221-285) (221-285) (223-292)
(185-244) (185-244)
(160-190) (160-190)
(320-370) (320-370)
(258-301) (258-301)
(220-249) (220-249)
(183-231) (183-231)
(315-366) (315-366)
(250-302) (250-302) (263-310)
(209-260) (209-260) (219-277)
(155-191) (155-191) (160-216)
1983-1984 1983-1984
366) 366)
151-185) 151-185)
315-
(260-338) (260-338)
(227-281) (227-281)
(194-225) (194-225)
(168-207) (168-207)
(250-344) (250-344)
(221-278) (221-278)
( (
(286-343) (286-343)
(165-225) (165-225)
(241-296) (241-296)
(144-180) (144-180)
( (
Minimum Minimum
94 94
182 182
160 160
140 140
160 160
205 205
160 160
121(180-233) 121(180-233)
254 254 110 110
200(240-273) 200(240-273)
173(201-229) 173(201-229)
130 130
250 250
200 200
148(201-252) 148(201-252)
0 0
7 7
1 1
2 2
2 2
93 93
41 41
10 10
40 40
14 14
18 18
74 74
12 12
71 71
37 37
15 15
143 143
With With
Tenure Tenure
7 7
2 2
59 59
44 44 42
70 70
20 20
88 88
55 55 55
82 82
46 46
11 11
17 17 17
222 222
WOMEN WOMEN
275 275
114 114
236 236
178 178
272 272
207 207
Total Total
reporting) reporting)
reporting) reporting)
2 2 5
6 6
59 59
88 88
50 50
67 67
12 12
31 31
331 331
975 975
489 489
425 425
289 289
145 145
645 645
1010 1010
906 906
325 325
133 133
With With
TV TV
1630 1630
1984-1985 1984-1985
Tenure Tenure
of of
of of
18 18
51 51
65 65
26 26 26
537 537
515 515
458 458
271 271
824 824
338 338
164 164
920 920
755 755
537 537
693 693
345 345
137 137
185 185 135
FACULTY FACULTY
1528 1528
2277 2277
Total Total
(157 (157
(336 (336
FACUL FACUL
0 0
3 3
2 2
OF OF
77 77
35 35
20 20
10 10
43 43
16 16
64 64
14 14
74 74
38 38
16 16
18 18
With With
134 134
!!!!!!!! !!!!!!!!
7 7
4 4 4
2 2 2
35 35 32 49 49
66 66
20 20
54 54 54
74 74
47 47
WOMEN WOMEN
SIZE SIZE
16 16
201 201
268 268
110 110
213 213
178 178
258 258
193 193
Total Total
3 3
9 9
59 59
45 45
97 97
76 76 74
11 11 11
28 28
34 34
DEPARTMENTS DEPARTMENTS
935 935
407 407
308 308
With With
654 654
885 885
338 338
130 130
1983-1984 1983-1984
I"!!!!!!! I"!!!!!!!
1626 1626
DEPARTMENTS DEPARTMENTS
24 24
47 47
65 65
28 28
FACULTY FACULTY
491 491 466
502 502
447 447
260 260
330 330
172 172 157 809 809
898 898
739 739
493 493
326 326
680 680
132 132
194 194 146
Total Total
1464 1464
2195 2195
GRANTING GRANTING
GRANTING GRANTING
DEGREE DEGREE
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
Professor Professor
DJCI'ORATE DJCI'ORATE
DEGREE DEGREE
DJCI'ORATE DJCI'ORATE
IXJCI'ORATE IXJCI'ORATE
IXJCI'ORATE IXJCI'ORATE
Instructor/Lecturer Instructor/Lecturer
Professor Professor
Associate Associate
Assistant Assistant
Instructor/Lecturer Instructor/Lecturer
BACHELOR BACHELOR
Professor Professor
Associate Associate
Assistant Assistant
WITH WITH
Instructor/Lecturer Instructor/Lecturer
Professor Professor
Instructor/Lecturer Instructor/Lecturer
Associate Associate
Assistant Assistant WITHOUT WITHOUT
Professor Professor
Associate Associate
Assistant Assistant
WITH WITH
MASTER MASTER
WITHOUT WITHOUT
.j::o. .j::o. '-.J '-.J 00 00 Salary Survey for New Recipients of Doctorates
The figures for 1984 in this article were present position for several years. (X+ Y) means compiled from questionnaires sent to individuals there are X men and Y women in the 1984 sample. who received a doctorate in the mathematical Quartile figures are given only in cases where the sciences during the 1983-1984 academic year from number of responses is large enough to make them universities in the United States and Canada. meaningful. Questionnaires requesting information on Graphs. For each category and year, the salaries and professional experience were dis median starting salary is denoted by a horizontal tributed to 688 recipients of degrees using bar; a vertical bar extends to the extremes. When addresses provided by the departments which the quartiles have also been recorded, they are granted the degrees. Of these, 2 were returned denoted by the range of the box around the by the postal service as undeliverable and could median, thus for those cases, the middle 50% not be forwarded. There were 333 individuals of starting salaries lie within the range of the who returned forms between late June and early box. The salary information in the graphs is September. The tables below are based on the in hundreds of dollars. This graphical technique responses from 284 of these individuals (230 men is based on a proposal by McGiH, Tukey and and 54 women). Data from 49 responses were not Larsen in Variations of box plots, The American used in the compilation of the tables below; forms Statistician (February 1978). with insufficient data, or from individuals who had indicated they had part-time employment, were The connected line segments equate value of not yet employed, or were not seeking employment the dollar from one year to the next, using were considered unusable. 1965 median starting salary as a benchmark and adjusting that to current dollars by the Readers should be warned that the data in this implicit price deflators prepared annually by the report are obtained from a self-selected sample and Bureau of Economic Analysis, U.S. Department inferences from them may not be representative of of Commerce. Because the deflator is not yet the population. More comprehensive information available for this year, the 1984 figures do not on the number, the sex-minority group status appear on the graphs. If the rate of change in the citizenship, and the employment status of the actual starting salaries is less than the slope of recipients of new doctorates granted last year in the corresponding line segment, median starting the mathematical sciences in the U.S. and Canada salaries did not keep up with inflation. may be found in the previous article of this report on the 1984 Survey. Note that starting salaries for all categories fall behind the cost of living change in 1975 Key to Tables. Salaries are listed in hundreds as compared to 1970. Some of this loss was of dollars. Years listed refer to the academic year made up between 1980 and 1982. Between 1982 ending in the listed year. M and F are Male and 1983, academic salaries just kept up with and Female respectively. One year experience inflation, research and industry salaries showed means that the persons had experience limited real increases, and government salaries showed to one year or less in the same position or a no increase and thus a drop when adjusted for position similar to the one reported; some persons inflation. Generally, the range of salaries is receiving a doctorate had been employed in their increasing with time.
749 Nine-Month Salaries Nine-Month Salaries
1965 Salary 1965 Salary Year Min Ql Median Q3 Max Median in Year Min Median Max Median in Current $ Current $ RESEARCH TEACHING OR TEACHING AND RESEARCH (1 + 0) (146 + 38) 1960 52 65 80 75 1960 49 65 80 74 1965 71 81 90 81 1965 70 80 105 80 1970 78 lOS 160 100 1970 85 110 195 98 1975 100 110 137 1975 90 120 128 135 173 135 1980 125 137 180 195 1980 105 155 171 185 250 192 1981 143 145 213 1981 130 175 190 210 320 210 1982 180 190 235 226 1982 160 190 206 229 370 223 1983 100 200 230 235 1983 80 200 217 240 350 232 1984 205 205 205 1984 140 215 230 255 380 1981M 143 145 l981M 130 175 190 210 320 1981F 145 1981F 146 177 195 216 300 1982M 180 190 190 1982M 160 192 210 229 370 1982F 235 1982F 160 175 198 225 285 1983M 100 200 230 l983M 95 204 220 240 350 l983F 205 205 205 1983F 80 198 210 227 330 1984M 205 205 205 1984M 140 215 232 255 380 1984F 1984F 161 215 228 251 325 One Year Experience (1 + 0) One Year Experience (127 + 30) 1984M 205 205 205 1984M 140 212 230 251 340 1984F 1984F 195 215 228 251 325
Nine-month Teaching
Graph omitted because sample size too small
400
~Q ...0 ~ 300 ~= :t"
200
100
1960 1965 1970 1975 19801982 1983
750 Twelve-Month Salaries Twelve-Month Salaries
1965 Salary 1965 Salary Year Min Median Max Median in Year Min Median Max Median in Current $ Current $ RESEARCH TEACH!~ OR TEACH~ AND RESEARCH (12 + 4) (25 + 4) 1960 97 105 140 86 1960 ••••••••• NO DA.TA •••••••••• 1965 81 93 107 93 1965 78 104 121 104 1970 90 120 205 114 1970 95 128 200 128 1975 90 119 180 157 1975 87 145 204 176 1980 120 180 321 224 1980 143 195 350 250 1981 140 200 280 245 1981 156 203 400 274 1982 130 245 364 259 1982 100 250 500 290 1983 155 262 450 269 1983 160 260 320 301 1984 145 261 415 1984 134 260 450 1981M 140 200 280 1981M 156 200 400 1981F 150 168 200 1981F 165 213 290 1982M 144 230 336 1982M 180 250 500 1982F 130 265 364 1982F 100 266 367 1983M 195 262 450 1983M 160 255 320 1983F 155 260 364 1983F 240 265 270 1984M 170 283 415 1984M 134 260 450 1984F 145 200 253 1984F 240 275 330 One Year Experience (11 + 3) One Year Experience (20 + 4) 1984M 170 276 415 1984M 134 248 340 1984F 145 210 253 1984F 240 275 330
Twelve- Month Teaching Twelve-Month Research
500
400 400 ~ Q ....." " 300 300 i-o =§
200 200
';.. -o 100 z" 100
1960 1965 1970 1975 198019821983 1960 Jq65 1970 1975 1980 1982 1983
751 Twelve-Month Salaries Twelve-Month Salaries 1965 Salary 1965 Salary Year Min Median Max Median in Year Min Median Max Median in Current $ Current $ GJVERNMENr BUSINESS AND INDUSTRY (12 + 2) (34 + 6)
1960 72 93 130 117 1960 78 110 150 126 1965 70 126 160 126 1965 100 136 180 136 1970 100 150 223 155 1970 96 170 235 167 1975 78 182 247 213 1975 114 187 240 230 1980 156 244 501 303 1980 190 284 400 327 1981 220 290 460 332 1981 195 308 500 358 1982 228 325 470 351 1982 196 354 550 379 1983 160 322 422 365 1983 276 375 580 394 1984 140 315 490 1984 180 378 660 1981M 220 294 400 1981M 195 319 500 1981F 252 269 460 1981F 226 290 358 1982M 228 331 470 1982M 196 366 550 1982F 282 326 369 1982F 230 350 430 1983M 160 313 422 1983M 300 370 580 1983F 293 320 350 1983F 276 375 413 1984M 288 326 490 1984M 180 383 660 1984F 140 202 263 1984F 200 342 416 One Year Experience (8 + 1) One Year Experience (21 + 5) 1984M 288 305 390 1984M 180 359 460 1984F 140 140 140 1984F 200 336 390
Twelve-month Government Twelve-Month Business and Industry
500
400 400 ~ ....Q" .;" 300 300 i=
200 200
100
1960 1965 1970 1975 198019821983 1960 1965 1970 1975 198019821983
752 MATHEMATICAL REVIEWS ASSOCIATE EDITORS
The Mathematical Reviews Editorial Committee invites applications and recommendations for positions as Associate Editor of MR, to commence as soon as possible, but no later than the summer of 1985. Applications will be welcomed from persons taking leave from other positions, and in particular from tenured faculty members who could take leave to come to MR for two years. The MR office is located in Ann Arbor, Michigan, adjacent to the campus of the University of Michigan, and the editors enjoy many faculty privileges at the university. At present, MR employs eleven editors, about a dozen con sultants, and over fifty non-editorial personnel. It publishes Mathematical Reviews and Current Mathematical Publications and various indexes. The responsibilities of Associate Editors fall primarily in the day-to-day opera tions of classifying articles and books, assigning these items to reviewers, and editing the reviews when they are returned. Other responsibilities evolve in accordance with the individual's experience and capabilities. At this time, no particular area of mathematical specialization is sought, although strength in applied areas or analysis is desirable. Considerable breadth in mathematics rather than special skill is sought. A reading knowledge of two main foreign languages is important, but not essential. (Russian is especially desirable.) Persons interested in combining a sabbatical or other leave with a part time or full-time appointment as an Associate Editor should write for further details. The twelve-month salary is negotiable, and will be commensurate with the experience applicants bring to the position. Retirement and insurance plans and other fringe benefits are similar to those in universities; of special importance is a policy providing a study leave after at least two years. This amounts to three months of full pay for each two years spent as Editor. Applications (including curriculum vitae, bibliography, data on experience, and names and addresses of three references) and recommendations should be sent to Dr. W. B. Woolf, Acting Executive Editor, Mathematical Reviews, P.O. Box 8604, Ann Arbor, Michigan 48107 (telephone 313-764-7228). Persons interested in applying for this position are urged to inquire immediately. Mathematical Reviews is an equal opportunity/ affirmative action employer.
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753 Report on the 1984 Survey of New Doctorates by Donald C. Rung
This report presents a statistical proffie of new doctorates. The percentage of women remained doctorates in mathematics and statistics from at the same 20% level as last year. Table 6 gives both United States and Canadian universities. these figures for the period 1972-1975 to 1983- It includes the employment status of recipients 1984. The employment matrix, Figure 2, is quite of 1983-1984 doctorates in mathematics and identical to last year's. The number of those statistics, and an analysis of the data by the seeking employment was 39 as compared to last sex, racial/ ethnic group, and citizenship of the year's 38. new doctorates. fu addition, trends in the number Employment Status of New Doctorates, 1983- of doctoral degrees are reported for each group 1984. Table 2 shows the employment status, of departments as defined by the 1982 Jones by type of employer and field of degree, of the Lindzey Survey (described on the first page of this 789 recipients of doctoral degrees conferred by 1983-1984 Survey). mathematical sciences departments in the U.S. Continuing the policy adopted in the 1983 and Canada between July 1, 1983 and June 30, report, doctorates in Computer Science are not 1984. These 789 individuals are listed, with their included in this report. This corresponds to the theses titles, later in this report. current taxonomy describing the mathematical fu rows 1 through 5, the numbers who accepted sciences. appointments in U.S. doctorate-granting mathe The number of new doctorates reported for matics and statistics departments (Groups I-V) 1983-1984 was 789, which is almost identical are given. fu the next two rows, the figures repre to last year's figure of 792. The comparable sent those accepting appointments in U.S. math figure for 1981-1982 was 755 and for 1980-1981 ematical sciences departments granting masters was 812. The figures for the past three years and bachelors degrees only. The information are taken from the survey reported each year in was obtained both from the departments granting the November Notices with the computer science the degrees and from questionnaires subsequently doctorates subtracted (prior to 1982-1983). As is completed by the recipients themselves. customary, a second updated report is planned for the March 1985 Notices. Table 1 contrasts Among those 1983-1984 new doctorates the number of new doctorates reported in the employed in the U.S., about 61% took positions November reports with the more complete total in university or four-year college mathematical reported in the following spring reports for the sciences departments; about 22% took positions period 1979-1980 to 1982-1983. in government, business, and industry, while the remaining 17% are in two-year colleges, high TABLE 1: New Doctorates, Fall and Spring Counts schools, other academic departments, or research 79-80 80-81 81-82 82-83 institutes. These figures are about the same as in Fall 868 904 860 792 1982-1983. Spring 898 927 914 840 Table 2 shows as "not yet employed" about 5% The data for 1983-1984 is markedly similar to of the 1982-1983 new doctorates (this excludes the 1982-1983 data except for one area. Of the those whose employment status is unknown and 743 doctorates reported from U.S. universities those not seeking employment). The data in (there were 46 doctorates from Canadian univer Table 2 were in many instances obtained early in sities), the citizenship is known for 738 of these the summer of 1983 and do not reflect subsequent doctorates, with U.S. citizens accounting for 59% hiring during the summer; an update of Table 2 (433) of this total. The 1982-1983 figures were is planned for the March 1985 Notices. A similar 61% and 455. The percentage of doctorates who update last year revealed that all but 16 new are U.S. citizens has declined dramatically over 1982-1983 doctorates found positions by fall1983. the last five years: from 73% in 1979-1980 to the (See the Notices, November 1983, page 727 and present 59% figure. It is apparent that we are now February 1984, page 147.) Nine persons included producing annually less than 450 doctorates who in Table 2 reported taking part-time employment. are U.S. citizens. (A more detailed analysis is Sex, Race, and Citizenship of New Doctorates, available from the National Science Foundation: 1983-1984. Table 3 below represents a break Science and Engineering Doctorates 1960-1982, down according to sex, racial/ethnic group, and detailed tables and charts, NSF 83-328.) Table 5 citizenship of these 789 new doctorates. The gives this analysis from 1972-1973 to 1983-1984. information summarized in Table 2 was obtained For U.S. citizens, it is instructive to compare from department heads and in some cases from the ratio of men to women among the new recipients themselves.
754 TABLE 2: 1983-1984 Employment Status of New Doctorates in the Mathematical Sciences
PURE MATHEMATICS
Type of Employer
Group I 23 22 14 3 1 2 1 4 2 72 Group II 7 10 6 2 3 1 9 1 39 Group III 3 5 6 4 7 2 3 1 4 35 Group IV 1 19 1 21 Group V 1 1 2 6 7 17
Masters 15 12 8 3 3 18 3 6 13 7 88 Bachelors 18 9 14 2 7 1 7 8 66 Two-year College or High School 2 2 1 1 6 other l\cademic Departments 1 2 1 1 1 19 2 23 5 1 16 72
Research Institutes 2 4 1 2 1 1 8 2 21 Government 1 1 11 3 3 1 20 Business and Industry 8 5 4 1 3 31 6 10 13 19 100
canada, Academic 4 1 4 2 8 1 4 2 26 canada, !ibnacademic 1 1 Foreign, Academic 13 15 6 1 19 4 13 10 81 Foreign, !ibnacademic 5 1 1 2 1 10 2 6 4 32
Not seeking employ 1 3 1 5 Not yet employed 9 8 2 1 7 1 1 6 4 39 Unknown 4 6 9 3 2 6 4 2 7 5 48
Total 111 102 80 21 18 173 19 66 111 3 85 789
TABLE 3: Sex, Minority Group, and Citizenship of New Doctorates
July 1, 1983--,June 30, 1984
U.S. DEXiRE&S MEN l01EN 'IUrAL I CITIZENSHIP CITIZENSHIP ! Not Total Not Total RACIAL/E'HINIC GROUP u.s. Canada Other Known Men u.s. Canada Other Known W::men
Asian, Pacific Islander 15 1 118 3 137 10 14 24 161 Black 3 3 6 6 American Indian, EskiliD, Aleut I I Mexican American, Chicano, i I Puerto Rican 5 3 ! 8 None of those above 313 7 135 1 145: 71 20 91 547 Unknown 10 6 1 I 17 4 4 21
Total Number 346 8 265 5 624 85 34 119 743
CANADIAN JEGREES MEN I l01EN 'IUrAL
CITIZ~~ _ CITIZENSH:I:_~ Not Total Not Total Rl\CIAL/E'mNIC GROUP u.s. canada Other Known Men u.s. Canada Other Known l'bnen ' Asian, Pacific Islander 4 4 4 Black I American Indian, EskiliD, Aleut i Mexican American, Chicano, I Puerto Rican 1 1 1 ! None of those above 1 22 5 28 28 Unknown 6 3 9 2 1 1 4 13 I
Total Number 1 28 13 42 2 1 1 4 46
755 Analysis of the 1983-1984 employment forms between July 1 and June 30 of the indicated years. for the new U.S. doctorates indicates that 10% Column 2 gives the number that were U.S. citi~ens of those employed by Groups I, II, and m and in Column 3 the percentage this represents. departments are women, the same figure as for In Table 6 the number in Column 2 of Table 5 the last two years. Of the new doctorates is further divided into men and women. Note employed by bachelors and masters degree that in both tables all years but 1982-1989 and granting departments, 24% are women, while 1989-1984 contain computer science doctorates. of those employed by government, business, and industry, 13% are women. TABLE 5: U.S. Citizen Doctorates Trends in the Number of New Doctorates. Adjusted Total Total of Table 4 gives the number of doctorates granted of Doctorates Doctorates during 1981-1982, 1982-1983, and 1983-1984 by given by U.S. who are U.S. those departments in Groups I-VI, which reported universities citizens % in all three years (as of August 31, 1984). The 1972-1973 986 774 78% number of such departments out of the total is 1973-1974 938 677 72% indicated in parentheses. This table does not 1974-1975 999 741 74% include computer science doctorates. The groups 1975-1976 965 722 75% are derived from the 1982 rating. 1976-1977 901 689 76% 1977-1978 868 634 73% TABLE 4: Number of New Mathematics 1978-1979 806 596 74% and Statistics Doctorates Reported 1979-1980 791 578 73% by Selected Departments 1980-1981 839 567 68% 1981-1982 798 519 65% 81-82 82-83 83-84 1982-1983 744 455 61% Group I 234 283 232 1983-1984 738 433 59% (36 out of 39 depts.) TABLE 6: U.S. Citizen Doctorates, Group II 80 114 107 Male and Female (36 out of 43 depts.) Group m ___88 _B1 ___Til_ Doctorates (50 out of 72 depts.) who are % Subtotal 402 478 418 U.S. Citizens Male Female Female GroupN 124 120 106 1972-1973 774 696 78 10% (40 out of 66 depts.) 1973-1974 677 618 59 9% Group V 100 98 103 1974-1975 741 658 83 11% (23 out of 54 depts.) 1975-1976 722 636 86 12% Group VI ~ ___illl __.38 1976-1977 689 602 87 13% (18 out of 35 programs) 1977-1978 634 545 89 14% Subtotal 256 257 241 1978-1979 596 503 93 16% TOTAL 658 735 659 1979-1980 578 491 87 15% 1980-1981 567 465 102 18% Citizenship and Gender of U.S. Doctorates, 1981-1982 519 431 88 17% 1972-1984. Again this year information is 1982-1983 455 366 89 20% presented on the annual number of doctorates 1983-1984 433 346 87 20% receiving their degrees from U.S. universities who It is apparent there has been a precipitous are U.S. citi~ens (Table 5). This number is divided into male and female doctorates (Table 6). decline over the last four years in the number of This is presented for the period 1972-1984 using new doctorates who are U.S. citi7;ens. Until1982- 1983 the percentage of women receiving doctorates the CEEP reports on new doctorates published annually in the October or November Notices. who are U.S. citizens has increased steadily, and has remained at the 20% level over the last two In Table 5 the first column is the number of years. doctorates, whose citizenship is known, produced
756 Doctoral Degrees Conferred 1983-1984 THE ANNUAL AMS list of doctoral degrees in the mathematical sciences and related subjects reports 789 degrees conferred between July 1, 1983, and June 30, 1984 by 205 departments in 139 universities in the United States and Canada. Each entry contains the name of the recipient and the thesis title. The numbers in parentheses following the names of universities have the following meanings: the first number is the number of degrees listed for that university; the next seven numbers are the number of degrees in the categories of 1. Pure mathematics (i.e., algebra, number theory, analysis, functional analysis, geometry, topology, logic, or probability); 2. Statistics; 3. Computer science; 4. Operations research; 5. Applied mathematics; 6. Mathematics education; 7. Other. ALABAMA CALIFORNIA Gieringer, Dale, Drugs and choice: A consumer choice analysis of FDA drug Auburn University California Institute of Technology regulation. (2;2,0,0,0,0,0,0) (7;2,0,0,0,5,0,0) Herriott, Scott Robert, The political MATHEMATICS economy of partnerships with applications APPLIED MATHEMATICS Hamm, Rose Condon, Embedding to power pooling in the electric utility theorems for triple systems. Reinelt, Douglas A., The penetration of industry. Walsh, John T., Marczewslr:i sets, measure a finger into a viscous fluid. Khanna, Anupam, An approach to and the Baire property. Robinson, Allen Conrad, Existence and modelling systems of political economy: stability of vortices and vortex arrays. Towards introducing the notion of power University of Alabama, Birmingham Simmen, Jeffrey, Steady deep-water waves in economic analysis. (1;0,1,0,0,0,0,0) on a linear shear current. Lamont, Alan Duryea, Strategies for BIOSTATISTICS AND BIOMATHEMATICS Smyth, Noel Frederick, Part I: Soliton running predictive models. Shamsa, Falah Hassan, Families of on a beach and related problems; Part IT: MacQuhae, Nelson Guillermo, A survival models in clinical trials and Modulated capillary waves. dynamic macro-economic interactive a multivariate methodology of estimation Tanveer, Saleh A., Topics in 2-D separated planning S'IJpport system for policy as applicable to cancer research data. vortex flows. sessment in Venezuela. Manuel, Ernest H., Economic effects of MATHEMATICS University of Alabama, Tuscaloosa air pollution on production: Estimates for (2;0,1,0,0,0,0,1) Fowler, Joel Christopher, Topics in linear selected manufacturing industries. MANAGEMENT SCIENCES AND spaces and proiective planes. Metcalfe, Murray Robert, The adoption STATISTICS MikoliC-Torreira, Igor, Norm constant of an innovation in systems of intercon Davis, Reuben Dean, A process for holomorphic functions on Banach spaces. nected technologies. selecting and breeding plants based on Mir, Anjum Altaf, The strategic implica Claremont Graduate School multiple obiective linear programming. tions of varying environments: Aspects of Wang, Huang-San Samuel, On estimation (2;2,0,0,0,0,0,0) decision malr:ing under instability. of stationary points of a response surface MATHEMATICS Olmsted, Scott Mostyn, On representing function. Larson, Suzanne, Convexity conditions on and solving decision problems. ARIZONA a class of lattice ordered rings. Razavi, Hamid, Generalized dynamic sys Zachariah, Thomas M., Stochastic and tem descriptions: Rectangular descriptor Arizona State University deterministic sets. systems. (1;1,0,0,0,0,0,0) Regulinski, Stephan G., R&D portfolio MATHEMATICS Naval Postgraduate School selection. (1;1,0,0,0,0,0,0) Bank, Edward James, Pollaczek type Samuelson, Ralph Dale, Regulation and polynomials and functions. OPERATIONS RESEARCH efficiency in a public utility: The economics of the natural gas pipeline University of Arizona Kisi, Takasi, Optimization of artificial and distribution industry. (5;2,0,0,0,3,0,0) dispersion in salvo firing. MATHEMATICS .APPLIED MATHEMATICS Stanford University Foddy, Marjorie Ellen, An analytic Gayek, Jonathan Edward, Approximat (34;2,5,0,6,0,0,21) solution for the stationary distribution ing reachable sets for a class of linear ENGINEERING-ECONOMIC SYSTEMS of Brownian motion with drift confined to systems subiect to bounded controL a quadrant by oblique reflection. Agogino, Alice, A primal-duo! algorithm Xaba, Abraham Busa, Maintaining an King, Jonathan, Another counter example for constrained generalized polynomial optimal steady state in the presence of of ergodic theory. persistent disturbances. programming: Application to engineering design and multiobiective optimization. Pei, Hsu, Reflecting Brownian motion, MATHEMATICS boundary local time and the Neumann Ansu, Yaw, An exchange rate system for problem. Pickrell, Doug, Spin extensions and mea an economy with parallel markets. sures of infinite dimensional Grassmann OPERATIONS RESEARCH manifolds. Berman, Lawrence Edward, Incentives for vertical integration in the information The structure and prop Anstreicher, Kurt Martin, Generation of Roten, Charles, services industry. erties of an approximate solution to a feasible descent directions in continuous system of reaction-diffusion equations. Brown, Pamela Clark, The design time linear programming. of incentive-compatible procurement con Ullery, William Davis, The isomorphism Broadie, Mark Nathan, Piecewise linear tracts that allow ris,.._sharing. problem for commutative group algebras. methods for solving equations. Dhebar, Anirudh S., Theory of optimal McCormick, Seth Thomas, V, A com ARKANSAS dynamic pricing and market equilibria for binatorial approach to some sparse matrix goods with positive demand externalities. problems. University of Arkansas Dopfel, Frederick Edward, A composite Preckel, Paul Veitch, Intertemporal equi (1;1,0,0,0,0,0,0) investor criterion for capital budgeting. librium models: Development and results. MATHEMATICAL SCIENCES Duffie, J. Darrell, Advances in general Rosenberg, Adam Nathan, Numerical Hiremath, Mahesh M., Joint graphs, equilibrium theory. solution of systems of simultaneous cyclic graphs and graphs with maximum Edwards, Gonzalo, An analysis of Chilean polynomial equations using continuous local connectivity less than five. wheat imports. homotopy method.
757 Roundy, Robin Otho, 98%-effective Hobby, David Charles, Algebra derived Hsueh, Yuang-Cheh, Varieties generated lot-sizing for multi-item multi-stage from minimal congruences. by lattices not containing a given partially production/inventory systems. Hochwald, Scott Howard, The uniqueness ordered set. of the adjoint operation. Jennings, George Alan, Algebra- STATISTICS Krasny, Robert, A numerical study of geometric invariants ans~ng from the Green, Timothy Allen, Asymptotic Kelvin-Helmholts instability by the point local differential geometry of projective enumeration of Latin rectangles and as vortez method. varieties. sociated waiting t~mes. Ng, Kwok Choi, Contributions to the Lin, Kai-Ching, Harmonic analysis on the Henry, David H., Multiplicative models in computation of the martiz ezponential. bidis c. projection pursuit. Perlman, Mirta Beatriz, On the accuracy Moss, Lawrence Stuart, Power set Hogan, Michael Leo, Problems in bound of vortez methods. recursion. ary crossing for random walks. Ryan, John Gerard, Eztensions of repre Rimbey, Scott Everett, Transonic jets: Huh, Myung-Hoe, Regression analysis of sentations of Lie algebras. A numerical approach in the hodograph multicollinear data. Rychlik, Marek Ryszard, Invariant plane. Therneau, Terry M., Variance reduction measures and the variational principle Rothstein, Mitchell Jay, Supermanifolds techniques for the bootstrap. for Lozi mappings. over an arbitrary graded commutative Saunders, Gregg Willard, Iteration of algebra. University of California, rational functions of one complez variable Berkeley and basins of attractive fized points. University of California, (34;20,0,1,6,6,0,1) Sing, Banson, Decompostion of certain Riverside (3;0,0,0,0,2,0,1) INDUSTRIAL ENGINEERING AND principal semi-AFLs. OPERATIONS RESEARCH Ventura, Belisario Augusto, On spectral MATHEMATICS subspaces of covariant representations of DeGuia, Arthur Araujo, Design of Moghadam, Hosien Said, Compression C* -algebras. a hierarchial production planning and operators and a solution to the bandwidth Automatic continuity inventory control system for a consumer Viet, Ngo Nhu Phu, problem of the product of n paths. in algebras of differentiable functions. products manufacturing network. Moussavi, Saadat, Generalized two Reducibility Hackman, Steven Todd, A general model Wadge, William Wilfred, parametric "SOR" method for linear and determinateness on the Baire space. of production: Theory and application. sparse systems. Walsh, Shelley Lauren, Cyclic vectors for Ireson, Robert Grant, Information trans Shabell, Barbara Jo, Computable error the backward Bergman shift. fer structures, a model of formal analysis estimates resulting from modifications of addressing the effects of formulation on Yang, Ja.e-Heun, Einstein-Hermitian vec Newton's method for finding roots. the interpretation of results. tor bundles. Karayel, Mabmut Nedim, Dual Zandi, Ahmad, Quaternionic Kahler University of California, based heuristics for capacity-constrained manifolds and their twister spaces. San Diego production scheduling. University of California, (7;3,2,0,0,0,0,2) Kasper, Martin, Production planning Davis MATHEMATICS of capacitated, multi-stage, discrete (2;2,0,0,0,0,0,0) manufacturing systems. Egecioglu, Orner, Combinatorial proofs of MATHEMATICS identities for symmetric functions. Miller, Douglas Alan, A class of topologi cal oriented matroids with some applica Iraniparast, Nezam, Qualitative behavior Fletcher, Evan Martin, Holomorphic mappings and invariant metrics on the tions to non-linear programming. of solutions of the Goursat problem for unit ball of n X n matrices. Politof, Themistocles, A characterization hyperbolic differential equations. Fochler, Michael, Potential theory of and efficient reliability computation of Kunitaka, Shoji, On right self-injective random processes. t::. - y reducible networks. regular semigroups. Goldstein, Larry Mark, Eztensions of Shamir, Ron, On the efficiency of simplez University of California, stochastic approzimation procedures. method. Irvine Johnson, Roger William, Simultaneous MATHEMATICS (l;l,O,O,O,O,O,O) estimation of generalized Pearson means. Anderson, Christopher Radcliff, Vortez MATHEMATICS Kaschube, Paul August, Matroid al methods for flows of variable density. Davidson, Mark Gregory, The harmonic gorithms, recursion and the subgraph Caldwell, Chris Kelly, The elliptic curve representation of U{p,q) and its connec homeomorphism problem. a.X3 + bY3 + cZ3 = d.XY Z. tion with the generalized unit disk. Kemp, Paul Martin, Focal and focal-cut points. Christy, Joseph Parsons, Anosov flows University of California, on three-manifolds. Los Angeles University of California, Djomehri, Mohammad Djabed, Moving (11;6,3,0,0,2,0,0) Santa Barbara finite element solution of systems of par (8;5,2,0,0,1,0,0) tial differential equations in !-dimension. BIOSTATISTICS Donmez, Dogan, On the degree of Chun, Calvin Siu Yuen, Testing equality MATHEMATICS symmetry of product manifolds. of two multiple correlation coefficients. Deretsky, Tatiana, Abelian inverse Ebrahimzadeh, Elizabeth Shabnaz, On Cohen, Betty Jo, Prediction theory property neofields: Ezistence and algebraic the sums of a certain arithmetic function. approach to multistage sampling with structure. Enomoto, Kazuyuki, Contributions to the unknown cluster size. Deretsky, Zakhar Yuryevich, On the geometry of submanifolds of codimension MATHEMATICS Smith Normal form for (v, k, >.) designs. bigger than one in Eculidean space. Brenan, Kathryn Eleda, Stability and Hausserrnann, John William, IV, Gen Fan, Paul Shih, Amalgams and trees with convergence of difference approzimations eralized porosity characteristics of a resid prime valence. for higher indez differential-algebraic ual set of continuous functions. Fox, Jeffrey Stephen, Harmonic analysis systems with applications in trajectory Hsu, Lifang, New procedures of group on algebraic solvable groups. control. testing problem based on Huffman lower Gompf, Robert Ernest, An invariant Brenner, Charles Hallam, Asymptotics of bound and Shannon entropy criteria. for Casson handles, disks, and knot partition functions. Janeba, Mark Riley, Analytic structures concordance. Chou, Jine-Phone, Multivariate ezponen in certain compactifications of the unit Hellerstein, Nathaniel Shawn, Diamond: tial families: An identity and the admis ball and polydisc in C 2 . A four-valued logic of paradoz. siblity of standard estimation. Nemzer, Dennis, Boehmians as a F-space.
758 Rodriguez Esquerdo, Pedro J., Group University of Northem Colorado Kumar, Seshavadhani, A simulation testing to identify the sample minimum (4;0,1,0,0,0,0,3) study of a multi-nodal communication from a discrete uniform distribution. network with contention. MATHEMATICS AND APPLIED Morningstar, Kay, Self-teaching enrich,. Wilson, Greg, A family of modular STATISTICS functiom: Comtruction and computer ment modules on modem applicatiom of application. Al-Heeti, Khalaf Nassar, Judgment mathematics for talented secondary stu analysis technique applied to readability dents and evaluation of effective utiliza University of California, prediction of Arabic reading material. tion through an original prediction model. Santa Cruz Boynton, Mary, Academic and social (2;1,0,0,0,0,0,1) success of Colorado migrant children: DISTRICT OF COLUMBIA Perceptiom by child, tutor, teacher, and MATHEMATICS parent. American University Hartsfield, Nora Anne, The toroidal Britton, Gary L., A history of some (2;0,2,0,0,0,0,0) splitting number of the complete graph recent applicatiom of 8'/Jrvey sampling for MATHEMATICS, STATISTICS Kn. human populatiom. AND COMPUTER SCIENCE Sarli, John, On the maximal 8'/Jbgroups of J ost, Allen P., Residential property tax Brick, John Michael, Bootstrap methods 2F4(q). equity in Greeley, Colorado. for finite population sampling. Samuhel, Michael, A general approach to CONNECTICUT COLORADO the missing data problem. University of Conneetieut George Washington University Colorado State University (2;2,0,0,0,0,0,0) (7;1,1,0,5,0,0,0) (9;2,4,0,0,3,0,0) MATHEMATICS MATHEMATICS MATHEMATICS Goeters, Herman Pat, Some injective Mifflin, Thomas, Almost periodic selec- Chien, Peter Cheng-Sheng, Continuation classes. tiom. and local perturbation for numerical Venugopalan, Poothampilly, Z-continu- OPERATIONS RESEARCH treatment of simple and non-simple O'IJB partially ordered sets and union complete 8'/Jbset systems. Blackwell, Louis Mason, IT, Filtering bifurcatiom. in colored noise-a Bayesian perspective: Huotari, Robert Heikki, Best L1 ap Wesleyan University Applications to accelerated life testing. proximation by nondecreasing functiom. (1;1,0,0,0,0,0,0) Jackson, Richard Henry Frymuth, Ten Nagata, Kenneth Wayne, Codimemion sors, polyads, and high,.order methods in MATHEMATICS two bifurcation in double-diffusive convec factorable programming. tion. Madden, James Joseph, Two methods in Kyparisis, Jerzy, Semitivity and stability Strate, Gordon Joseph, A multilevel the study of ~vector lattices. for nonlinear and geometric programming: scheme for the Cauchy-Riemann equa- Yale University Theory and applications. tiom. (6;4,2,0,0,0,0,0) Sabbagh, Mohammad Saiid, A general STATISTICS lexicographic partial enumeration algo MATHEMATICS rithm for the solution of integer nonlinear Cline, Daren B. H., Estimation and linear Bhate, Hemant, Discrete scattering programming problems. prediction for regression, autoregression theory. Sofer, Ariela, Efficient matrix methods for and ARMA with infinite variance data. Chatzidakis, Zoe Maria, Model theory of solving nonlinearly comtrained optimiza Gonzalez-Cossio, Felix Valerio, Estima profinite groups. tion problems vio Newton's method when tion of the parameters of pareto distribu Smith, Stuart Thomas, Nomtandard the projected Lagrangian Hessian is given tion by order statistics and empirical syntax and semantics and full satisfaction in dyadic form. Bayes procedures. classes for models of arithmetic. STATISTICS Halteman, Edward James, Location esti Wildberger, Norman John, Quantization mation in tow dimemiom. Meinhold, Richard James, A robust and harmonic analysis on nilpotent Lie ification of the Kalman filter via the Leiva, Ricardo Anibal, Properties, con groups. Bayesian approach. vergence and range behavior of shifting level processes. STATISTICS FLORIDA Vecchia, Aldo Vincent, Aggregation and Possolo, Antonio M. G., Spatial point estimation for periodic autoregressive processes. Florida State University moving average models. Zelterman, Daniel, Goodness of fit tests (3;1,1,1,0,0,0,0) for large sparse tables of categorical data. University of Colorado MATHEMATICS AND (5;4,0,0,0,1,0,0) DELAWARE COMPUTER SCIENCE Pacheco, Peter, K-i obstructions to MATHEMATICS University of Delaware factoring an open manifold. Baltus, Christopher, Limit-periodic con (7;1,1,0,4,0,1,0) Zemankova-Leech, Marie, Fuzzy rela tinued fractiom: Value regiom and trun MATHEMATICAL SCIENCES tional data bases. cation error bounds. Carlson, Dean Allen, On the existence STATISTICS Merrill, Kathy Donovan, Cohomology of step functions under irrational rotatiom. of optimal solutiom for infinite horizon Rasp, John Milton, ill, Determining a optimal control problems. sufficient level of inter-rater reliability. Meyers, Charles, Topological and statisti cal stability of dynamical systems. Chakravarthy, Srinivasaraghavan, A University of Florida stochastic model for two servers sharing a ( ) Quinn, Terrence Raymond, Exponential common tool magazine and its analysis. 6;0•4•0•1•1•0•0 L 2 and uniform convergence of a class of Flam, Sjur Didrik Beck, Resource INDUSTRIAL AND SYSTEMS infinite dimemional diffusion and jump management under uncertainty. ENGINEERING processes. Hoerl, Roger Wesley, A simulation of Chen, Mei-Lung, Location problems on Shultz, Gerald, Computationally practi biased and subset selection regression tree-like networks. cal globally convergent algorithms for techniques. Lawphongpanich, Siriphong, Decomposi- uncomtrained and linearly comtrained Katsuura, Hidefumi, Set functiom and tion techniques for the traffic assignment optimization. contino'IJB mappings. problem.
759 STATISTICS STATISTICS AND Winker, Steven Karl, Quandles, knot COMPUTER SCIENCE Breen, Timothy, On the combination of invariants, and the N-fold branched cO'IIer. 2 X 2 contingency tables. Prince, Robert H., Selecting the best population with a preliminary test. University ofDlinois, Chen, Wen-Jen, Directional data and Urbana-Champaign some tests of hypothesis. HAWAn (9;4,0,0,0,3,0,2) Groggel, David John, Asymptotic non parametric confidence interoals for the University of Hawaii MATHEMATICS ratio of scale parameters in balanced (1;0,1,0,0,0,0,0) Beezer, Robert Arnold, Polynomials of one-way random effects model. the adjacency matrix of a graph. PUBLIC HEALTH SCIENCES Kezouh, Abbas, Association models for Challener, David Carroll, A qt~estion of cross-classification having ordered catego Shiono, Patricia, Maternal exposure to completeness of expansions arising from a ries. tobacco, alcohol, and caffeinated beverages method of solm,'ng the biharmonic problem. and the occurrence of spontaneous abor University of Miami tions. Haken, Armin, Computational complexity. (5;3,0,0,0,0,0,2) Menninga, Nadine Louise, Immersions of IDAHO positively curoed manifolds into manifolds MATHEMATICS AND with curoature bounded abO'IIe. COMPUTER SCIENCE Idaho State University Raggi-Cardenas, Alberto Gerardo, Zeta C ruz, Eliseo G w'11 ermo, On mono t one (1;1,0,0,0,0,0,0) function defined by two-sided ideals. methods and the solution of nonUnear MATHEMATICS Wu, Jinn-Wen, Nonlinear problems in integral eqt~ations of Hammerstein type. Waters, Steven Ray, Inertia mechanics and some other areas. Elkhoury, Walid N., Linear skew product theory for transformations H-+ THEORETICAL AND APPLIED flows, exponential dichotomies and struc gi;A.;,HAj. MECHANICS tural stability. El,j=l Kurath, Peter, Extension of the local Jagadish, Mysore, Seqt~ential techniqt~e in ILLINOIS strain fatigue analysis concepts to incor optimization. porate time dependent deformation in Marin, Myriam M., The multiplier Dlinois State University Ti-6A-4V at room temperature. theorem. (1;1,0,0,0,0,0,0) Pott, John, Two studies in evanescent Martinez, Victor J., On Fatou's theorem MATHEMATICS wave propagation. and an extension of Rudin. Miller, Mark, Computer-oriented applica- Sehitoglu, Huseyin, Characterization of University of South Florida tion modules for abstract algebra. thermo-mechanical fatigue. (2;1,1,0,0,0,0,0) Northwestern University INDIANA MATHEMATICS (4;2,0,0,1,0,0,1) Liles, Albert Douglas, Mixed and memory INDUSTRIAL ENGINEERING AND Indiana University MANAGEMENT SCIENCES fading forecasting models. (6;3,1,0,0,1,0,1) Knapp, Connie M., Factors influencing Steele, David Arthur, A commentary on MATHEMATICS the correlated random walk: Some addi formal and informal key communicator tional results and a two-step correlation. effectiveness in the multidivision in Adams, Gregory T., The Bergman dustrial corporation. bilateral shift. Schneider, Michael H., Single commodity GEORGIA Namazi, Javad, On a singular integral. spacial eqt~ilibria: A network complemen Ralescu, Anca Luminita, General rates tary approach. Emory University of decay for weighted empirical processes. (2;2,0,0,0,0,0,0) MATHEMATICS Schaeffer, John, Wave eqt~ations with Bouzar, Nadjib, Strict C-seqt~ences: A positive nonlinearities. MATHEMATICS AND class of Martingale-like seqt~ences. Seoh, Munsup, Rate of convergence COMPUTER SCIENCE Joshua, Roy, Spanier- Whitehead duality to normality and Edgeworth expansions Fichtner, Ronald Raymond, The closed and Beeker-Gottlieb transfer in etale for signed linear rank statistics with graph theorem and perfect seqt~ence homotopy. regression constants. spaces. WJ.!liams, John K., Some problems in Pedersen, John F., Confluence methods University of Chieago function theory. and the word problem in universal algebra. (5;3,1,0,0,1,0,0) MATHEMATICS Purdue University Georgia Institute of Technology (23;3,6,0,8,5,0,1) Garcia, Sonia Maria Fidelia, Mixed finite (1;0,0,0,1,0,0,0) element methods for semilinear second INDUSTRIAL ENGINEERING order parabolic problems. MANAGEMENT Cochran, Jeffery Keith, Improving the Lowe, James K., ModelUng with integer Hudson, Steven M., Polynomial ap productivity of the American automobile: variables. proximation in Sobolev spaces. A stochastic process view. Muder, Douglas Jacob, Zero cycles on del Fox, Dale Robert, Parametric and al University of Georgia Pezz surfaces over local and global fields. gorithmic solutions for the steady-state Scott, Ronald L., Fourier transforms of (5;4,1,0,0,0,0,0) analysis of Markovian qt~eueing systems orbital integrals for GL2. MATHEMATICS using graphical enumeration. STATlSTICS Kang, Keebom, Confidence interval es Argyros, Ioannis Konstantinos, Quad Lahiff, Maureen, Bayes and likelihood timation via batch means and time series ratic eqt~ations in Banach space, per methods for prediction and estimation in modeling. turbation techniqt~es and applications to Klein, Cerry Martin, Duality in dynamic Chandrasekhar's and related eqt~ations. the AR {1} model. programming. Brown, Jeffrey Lawrence, Local codimen University of Dlinois, Chieago sion one splitting. Lin, Zone-Ching, A qt~asi-steady state (2;2,0,0,0,0,0,0) thermo-elasto-plastic analysis of stress Hurd, Spencer Peyton, 0-primitive MATHEMATICS, STATISTICS AND CoM distribution in the workpiece in machin lattice-ordered permutation groups. PUTER SCIENCE ing. Yokura, Shoji, Polar classes and Segre Ahlbrandt, Gisela E., Totally categorical Maimon, Oded Zvi, Activity controller for classes on singular projective varieties. structures of modular type. a multiple robot assembly cell.
760 Matsumoto, Yoichi, Mechanics of chip Smith, Ronald Kenneth, I. Circum Ordonez, Alfred Abelard, Jr., Applica formation and its effect on the surface spheres in Hilbert space. 11. Automatic tions of sequential methods in observa integrity of hardened steels. handling of finite-dimensional, nonas tional studies. Nagaraj, Kolinjuwadi Sankaran, The a sociative algebras. Samaranayake, Vanniarachchige posteriori approach for discrete optimiza Steiner, Donald DeWitt, Bij"ectional, Amaraisi, Asymptotic properties of tion. generic and permutational models of ZF. sample autocorrelations, least squares es Nelson, Barry Lee, Variance reduction in timators and predictors of non-stationary simulation experiments: a mathematical STATISTICS multivariate time series. statistical framework. Chua, Tin Chiu, Response errors in Reilly, Charles Henry, III, PIPZI: A repeated surveys with duplicated observa- University of Kansas partial enumeration algorithm for pure 0- tions. (2;2,0,0,0,0,0,0) 1 polynomial integer programming prob Harter, Rachel M., Small area estimation MATHEMATICS lems. using nested-error models and auxiliary Sharit, Joseph, Human supervisory control data. Gokhale, Sudhir B., Joint quasitrian of a flexible manufacturing system: An Hung, Hsien-Ming, Use of transformed gularity of certain pairs of essentially exploratory investigation. LANDSTAT data in regression estimation commuting operators. Vinod, Balakrishnan, Queueing models of crop acreages. Tikoo, Mohan L., Remainders of H-closed for flexible manufacturing systems subj"ect Lee, Youngjo, Estimation of multivariate extensions. to resource failure. normal mean and its application to mized MATHEMATICS linear models. KENTUCKY Arzberger, Peter William, A mathemati Lewis, Jerry, Some effects of subdivision cal treatment of regular inbreeding sys of finite populations on genetic diversity University of Kentucky tems. measures. (6;0,6,0,0,0,0,0) Brophy, John Francis, Computation of Lin, Cherng-Tarng, Waiting times for capacity, polarization and added mass. target detection models. STATISTICS Frohliger, John Jlnthony, Maximal McNulty, Sallie, Exact generalized in Hosmane, Balakrishna, Bias reduction in homotopy Lie subgroups of maximal rank. verses and solution to least squares prob the estimation of log-linear contrasts and Ganapathy, Jayanthi, Il'•q inequalities lems using multiple modulus arithmetic. for related chi-square test criteria. for the Hardy-Littlewood maximal func Petenate, Ademir, Optimal allocation and Leitnaker, Mary Grace, Delayed and non tions and the Hardy operator. other aspects of kriging on a line. linear stochastic compartmental models. Kraft, Jfugen, Singularity of monomial Zamudio, Francisco, Estimation of Pois Liu, Jen-Pei, On evaluation of the curves. son parameters: Maximum likelihood, predictive ability of an estimated response STATISTICS Bayes, empirical Bayes or compromise?. surface. Chen, Shun-Yu, Restricted risk Bayes University of Iowa Malpass, Peter Gordon, A queue estimation. (7;6,1,0,0,0,0,0) ing analysis of a telecommunications Huang, Mong-Na Lo, Design problems node, and related models. in model robust regression and exact MATHEMATICS Mansouri-Ghiassi, Seied Hossein, D-optimality. Boyland, Philip Lewis, Bifurcations of Asymptotically distribution-free tests in Huang, Wen-Jang, On a study of point circle maps/Amol'd tongues, bistability balanced two-way layouts. processes arising in certain live situations. and rotation intervals. Sharma, Subhash C., On the rates of Lau, Tai Shing, Theory of canonical mo Burkholder, Douglas Glenn, On convergence to asymptotic normality least ments and its applications in polynomial Azumaya rings. squares estimators in linear regression regression. Froelich, John, Compact operators, in model with autocorrelated errors. Leu, Lii-Yuh, Contributions to multiple variant subspaces and spectral synthesis. decision theory. Gallegos-Jarpa, Gricelda, Representation LOUISIANA Taylor, Wayne A., Selecting efficient theory of Gl of a local ring. single stage and double stage attribute Salas, Hector Nicolas, C* -algebras of Louisiana State University, sampling plans of a given power. isometries with commuting range projec Baton Rouge University of Notre Dame tions. (1;0,0,0,0,0,0,1) (5;5,0,0,0,0,0,0) Tsau, Chichen Michael, Killers of knot MATHEMATICS MATHEMATICS groups. Elko, Constance Louise, Embedding 4k STATISTICS AND Bridgland, Michael F., Geodetic graphs manifolds up to cobordism. ACTUARIAL SCIENCE and convexity. Elko, David, Extending semifree actions Manmin, Mookda, Parameter changes in on finite groups on spheres. Tulane University time series models. (6;4,0,0,0,1,0,1) Fania, Maria Lucia, Extension of modifications of ample divisors on four MATHEMATICS folds. KANSAS Higgins, Aparna Narayan Pradhan, Ballotti, Michael E., Modem versions of the theorems of Kneser and Wiener. Heterogeneous algebras associated with Kansas State University non-indexed algebras, a representation (5;1,3,0,0,0,1,0) Farag, Saad F. M., The central measure algebra of a connected Lie group . . theorem on weak automorphisms. MATHEMATICS Khor, Hoe Peng, On the automorphisms of Keith, Verena Sabine, On invariant the unipotent radical of certain parabolic Maleki, Pir Mohammad, An investigation bilinear forms on finite dimensional Lie subgroups of groups of Lie type A. of factors affecting social science students algebras. attitudes towards mathematics. Latiolais, Marion Paul, Homotopy type IOWA Ronsse, Gregory, Sub-manifolds of Sas versus simple homotopy type in dimension Iowa State University kian manifolds which are tangent to the 2. (12;2,9,0,0,0,0,1) structure vector field. Soileau, Peggy Lynn, Tensor and tor MATHEMATICS STATISTICS sion products of modules over valuation domains. Rockswold, Gary Kent, Stable variable Albohali, Mohamed Hassan, A time step stiff methods for ordinary differential series approach to the analysis of repeated Spurr, Michael J., On the zero set of a equations. measures designs. homorphic one form.
761 MARYLAND Sawyer, Ann K., The Dynamics of Datskovsky, Boris, On zeta functions piecewise linear mappings of the plane. associated with the space of binary cubic Johns Hopkins University forms with coefficients in a function field. ( 4;4,0,0,0,0,0,0) Brandeis University Dunne, Ed, Hyperfunction solutions of (6;6,0,0,0,0,0,0) the zero-rest mass equations and repre MATHEMATICS MATHEMATICS sentation theory. Bremser, Priscilla Suzanne, Some studies Gilbert, George, Analytic multiplicity ones Boffi, Giandomenico, The universal form on character sums over finite fields. theorems for GL(n). of the Littlewood-Richardson rule. Chin, Kok Leang, On the classification Gurevich, Mikhail, Theory of €- Brown, Anne, A structure theorem for a of the finite dimensional Lie algebras representations. class of grade three perfect ideals. generated by two differential operators Kengmana, Thongchai, Discrete series Ko, Ki Hyoung, Seifert matrices and one with constant coefficients and the characters on non-Riemannian symmetric boundary links. other with polynomial coefficients. spaces. Dellomo, Michael R., Through the non Kollar, Janos, Canonical threefolds. McCallum, William, The Tate- simply connected looking glass or the Munroe, Carol L., Orders whose in Shafarevich group of the Jacobian of inverse limit of the finite branched cyclic decomposable nonprojective lattices are a quotient of the Fermat curve. covers of a knot. irreducible. Ticciati, Robin, Singularities in moduli Irk, Sitki, Operators induced by Gauss Platt, Mary L., On the Alexander spaces of Yang-Mills fields. sums over finite fields and the algebra polynomial. generated by these operators. Massachusetts Institute of Clark University Technology University of Maryland, (1;0,0,0,0,0,0,1) (16;11,0,0,1,3,0,1) College Park (14;8,2,0,0,4,0,0) MATHEMATICS MATHEMATICS
MATHEMATICS Bisk, Richard C., A Markov chain model DeBlassie, Richard Dante, Hitting times of smooth muscle contraction. of Brownian motion. Chambers, Daniel Warren, Central and Gonzalez, Fulton Beltran, The Radon functional central limit theorems for Harvard University transform on Grassmannian manifolds. functionals of Gaussian processes. (24;8,6,4,3,3,0,0) Grant, Caroline Galt, Entire holomorphic Chang, Myron, Nonparametric estimation APPLIED SCIENCES mappings of C into surfaces of general for doubly censored data. type. Deanin, Cao, Xi-ren, Optimization of discrete Alice Ann, Mahler's p-adic Gregory-Allen, Richard W., Regarding continued fraction event dynamic systems. algorithm. the evolution of warmed interfacial swells. Gordon, Denenberg, Lawrence A., Computational Ben Brent, Intersections of Haddad, Ziad S., Infinite dimensional flag higher weight cycles and modular forms. complexity of logical problems: Formulas, varieties. Katok, Svetlana R., Modular forms as dependencies, and circuits. Haughton, Dominique M. A., On the sociated to closed Dumas, William R., Extended sensitivity geodesics and arithmetic choice of a model to fit data from an applications. analysis in linear programming. exponential family. Fennell, James, A p-adic transcendence Huang, Peter H., Asymptotic and struc Lasaga, Fernando Rene, Counting full measure for the Weierstrass PE-function. tural stability of signalling equilibria. graphs on N sets and squares which block Majer, Vaclav, Numerical solution of Keyes, David Elliot, Numerical model a pentomino. boundary value ing of steady, laminar free-convective problems for ordinary Levstein, Fernando, A classification of differential equations boundary layer flow beneath heated or of nonlinear elas involutive automorphisms of an affine ticity. combusting horizontal surfaces. Kac Moody Lie algebra. Peck, Stephen R., Pole placement by Pearn, Wen-Lea, Capacitated Chinese Lubarsky, Robert Seth, Topics in admis Postman problem. constrained output feedback. sibility theory. Reed, Shasha, Dennis, Concurrent algorithms George W., Some properties and Magnuson, Alan W., Symplectic sin applications of higher order crossings. for search structures. gularities, periodic orbits of the billiard Robinson, E. Arthur, Jr., Ergodic Tay, Yong-chiang, A mean value perfor ball map, and the obstacle problem. measure preserving mance model for locking in databases. transformations with Ritter, Niles D., Progressing wave solu finite spectral multiplicities. Sistla, Prasad A., Theoretical issues in tions to nonlinear hyperbolic Cauchy Rogers, Robert Charles, Analysis of the the design and verification of distributed problems. nonlinear equations systems. describing the elastic, Schroeder, Carolyn Lee, Decay rates of thermal, and electromagnetic behavior of Taylor, Thomas J., Hypoelliptic diffusions Green's functions for the time indepen solids: Existence of solutions of semi and non-linear control theory. dent Schrodinger equation with periodic inverse problems. BIOSTATISTICS potentials. Schumer, Peter David, On the large sieve Sturtevant, Dean G., Three combinatorial Accomando, William, Resistant fitting inequality in an algebraic number field. problems. Wun, Lap-Ming, The effect of misspecified and diagnostic methods for discrete data analysis. Tuckerman, Laurette S., Formation of intervention function on parameter es Taylor vortices in spherical couette flow. timation of time series models. Baker, Stuart, Markov models for catego rical longitudinal data. Yang, Jin-Gen, On quintic surfaces of Zettler, George, Howe duality over finite general type. fields. Day, Roger, A general cell kinetics model with applications to cancer treatment. OPERATIONS RESEARCH MASSACHUSETTS DerSimonian, Rebecca, Combining evi Matsuo, Hirofumi, Capacitated lot size dence from different sources. problems. Boston University Halvorsen, Katherine Taylor, Estimating (3;1,1,0,0,1,0,0) population parameters using information Northeastern University from several independent sources. (2;0,0,0,0,1,0,1) MATHEMATICS Polansky, Marcia, Robust estimation with MATHEMATICS Deutsch, David, An integral equation for applications to the Poisson distribution. the solution of non-linear wave equations. Abadeer, Adel A., On zeros of solutions Heeren, Timothy C., The robustness of MATHEMATICS of ordinary differential equations. the T-test when applied to ordinal scale Bailey, Colin George, B-degrees for weakly Erbland, John P., Factoring maps through D data. inadmissible B. immersions.
762 University of Massachusetts, Jaraiedi, Majid, Inspection error modell Western Michigan University Amherst ing and economic design of sampling (2;0,0,0,0,0,0,2) plans subject to inspection error. (4;3,0,0,0,1,0,0) MATHEMATICS Umar, Amjad, The allocation of data and MATHEMATICS AND STATISTICS programs in distributed data processing Gimbel, John, The chromatic and Bennett, Fredricka Terry, On a sequence environments. cochromatic number of a graph. of Markov processes converging to a Tsui, Louis, Production scheduling for a Ruiz, Sergio, On isomorphic decomposi multivariate Ornstein-Uhlenbeck process. fabrication-assembly system. tions of graphs. Costa, Peter Justin, The linearization of nonlinear evolution equations. MATHEMATICS MINNESOTA Necochea, Alejandro, Equivariant Euler Ansari, Mohammed, On reductive and University of Minnesota, classes and group actions on Poincare transitive operator algebras. Minneapolis duality spaces. Exner, George R., Systems of equations (10;3,3,0,0,1,0,3) Prisco, Mary Kathryn, On the structure in the predual of an operator algebra, the and classification of nilpotent Lie algebras classes /An, and related operators. BIOMETRY of maximal rank. Fenson, Eitan M., Recursion over con McRoberts, Ronald, Near non- tinuous type structures. identifiability in non-linear parameter MICmGAN estimation. Flinn, Barbara Brown, The geometry of conformal mappings. MATHEMATICS Michigan State University (7;3,2,0,0,2,0,0) Kim, Hyuk, Complete le~invariant flat Du, Bau-Sen, Bifurcations of diffeo affine structures on simply connected morphisms on Ra. MATHEMATICS nilpotent Lie groups. George, Adel Aziz Michael, Some results Abudiak, Fawaz, Z2,-actions on the 2- Koh, Jee Heub, The direct summand on groups related to compact Riemann dimensional and the Klein bottles. conjecture and behavior or codimension surfaces. Long, John J., Hyponormal Toeplitz in graded extensions. Greene, John R., Character sum operators and weighted shifts. Lamken, Esther Rose, Coverings, or analogues for hypergeometric and general Martinez, Rafael, PL homeomorphisms of thogonally resolvable designs and related ized hypergeometric functions over finite period 2n on the solid Klein bottle. combinatorial configurations. fields. Mohseni, Moghadam Mahmoud, Levenberg, Norman, Jr., Capacities in Hernandez, Gaston E., Existence of Homotopy continuation method for non several complex variables. solutions of populations problems with linear equations. Levy, Bruce Jay, A splitting for right nonlinear diffusion. Riazi-Kermani, Mohammad, Periodic angled reflection manifolds. Lau, Chi-Ping, The boundary behavior of orbits in the modified logistic equation. Lo, Libo, On the computational complexity solutions of quasilinear second order el liptic partial differential equations arising of the theory of Abelian groups. STATISTICS AND PROBABILITY from geometrical problems. Lyons, Russell D., A characterization Waksman, Peter, The associated function Schick, Anton, On adaptive estimation. of measures on whose Fourier-Stieltjes of a plane polygon. Wang, Wei-hong, Statistical inference for transforms vanish at infinity. randomly censored linear model. Ma, Frank Tzen, Splitting in module-finite STATISTICS University of Michigan, Ann Arbor extensions and Cohen-Macaulay modules Clayton, Murray K., Bayes sequential (31;12,15,1,1,0,0,2) and algebras. sampling for choosing the better of two populations. BIOSTATISTICS STATISTICS Tsai, Chih-Ling, Contributions to the Bromberg, Judith, Modified estimators in Daghel, Mohamed M., Asymptotic min design and analysis of non-linear models. log-linear models. imax point estimators with compact Witmer, Jeffrey Alvin, Multistage deci Chu, Shenghui, Some aspects of the parameter space. sion problems. direction and collinearity factors of Wilks' Denby, Lorraine, Smooth regression func lambda. tions. MISSOURI Hung, Yung-Tai, Some aspects of dis Kramer, Morrey, Stopping a size depen criminant analysis. dent exploration process. St. Louis University (1;1,0,0,0,0,0,0) Katz, Barry, Detection of a random Rehailia, Mohamed-el-hadi, Lp expan alteration in a multivariate observation sions for posterior moments with applica MATHEMATICS AND COMPUTER based on knowledge of probable direction. tions in sequential analysis. SCIENCE Mahmoudi, Mohamed, Using auxiliary Tsang, Vincent Ying Yin, Density Ryan, Kara, A class of affine geometries. information to improve estl.mates of the estimation for censored data. population element variances, element Verathaworn, Theeraporn, Decision University of Missouri, Columbia covariances, and correlation coefficients. theoretic approaches to estimating (3;2,1,0,0,0,0,0) Naberhuis-Stehouwer, Sharon Ann, covariance matrices in the multivariate MATHEMATICS Some aspects of recovery in interblock normal one-sample and two-sample prob Lucas, Thomas George, The annihalator information. lems. Ruppel, Patricia Kemp, Drug evaluation conditions: Property (A) and (AC). using blocking agents in receptor systems Wayne State University Trautman, David Anthony, Linear topological properties of non-locally con consisting of multiple subsites. (2;1,0,0,0,0,0,1) Vonesh, Edward F., Jr., Relative vex Hardy-Orlicz spaces. efficiencies in the multivariate analysis MATHEMATICS STATISTICS of repeated meaurements. Hong, Yi, On helical submanifolds in Tarmast, Ghasem, Reliability of complex INDUSTRIAL AND OPERATIONS Euclidean spaces. systems. ENGINEERING Tan, Xiao-Jiang, Holomorphic mappings: {1} Classification of embeddings of com Washington University Golhar, Damodar, Sequential analysis: (7;3,0,0,0,0,0,4) Non-stationary processes and truncation. pact complex manifolds with given normal bundle. The Schwartz lemma for Hopp, Wallace John, Non-homogeneous {2} MATHEMATICS the Skwarcynski distance and a family of Markov decision processes with applica Rigoli, Marco, Surfaces with parallel mean biholomorphic invariants. tions to R & D planning. curvature vector in a 4-space form.
763 Semmes, Stephen, The Cauchy integral STATISTICS Vargas, John David, The Smimov and related operators on smooth curves. Morgenthaler, Stephan, Robust Sobelev and Cagniard technique for the SYSTEMS SCIENCE AND MATHEMATICS confidence intervals for location and scale solution of the Lamb half-space problem parameters: The configura! approach. in elastodynamics. Cheng, Jing-shiang, Performance analysis O'Brien, Fanny 1., Polyefficient and for randomly dispersive optical channels. CUNY, Graduate Center Polyeffective simple linear regression es {5;4,0,1,0,0,0,0) Hill, Stacy D., Estimation and control on timators and the absolute polyefficiency the unit circle. of the biweight regression estimator. MATHEMATICS Leake, Don H., Acceleration of iterative processes in a multiprocessor environ Rutgers University, New Brunswick Hurwitz, Carol M., On the homotopy of ment. {12;7,2,0,1,2,0,0) monoids. Lin, Shin-Yeu, Emergency control to MATHEMATICS Jarnigan, Richard, Statistical aspects of data structures for database systems. remedy voltage and thermal violations in Adams, Norman S., Set theoretic methods a segment of the large scale power system in topos theory. Kalish, Diane, The Morse index theorem by active and reactive means. Chapin, Steven A., Periodic solutions with ends submanifolds. Stendahl, Steven J., F'u.nctional integrals of some nonlinear differential-delay equa Pzena, Howard, The explicit construction and stochastic control problems. tions. of ring class fields with applications to Cho, Eung Chun, Smith equivalent quadratic forms. MONTANA representations of generalized quantemion Sureson, Claude, Excursion en groups. mesurabilite. University of Montana Farmer, Joan Eileen, Mathemati- Clarkson University {3;1,1,0,0,1,0,0) cal models of one-dimensional non- ( ) 5 MATHEMATICAL SCIENCES equilibrium systems. ;1,0,0,0,3,0,1 Ferreyra, Guillermo Segundo, The par- MATHEMATICS AND Boyd, Ernest James, A model for succes tial differential equations of nonlinear CoMPUTER SCIENCE sional change in a grassland ecosystem. Hollister, Robert Ashley, A correlation filtering. Briggs, Sanda C., Topics in nonlinear Lindgren, Terence, Proper morphisms of mathematics. coefficient based on maximum deviation. topoi. illsafer, Carol A., Module categories. Heinssen, Dennis Karl, Graph theory Maier, Robert Sullivan, Random applications to architecture. Schroedinger operators on a lattice: NEW HAMPSHIRE Kachroo, Pandit Dilaram, On Rigorous results on the density of states. the Allendoerfer-Eells cohomology of Mitzman, David, Integral bases for differentiable spaces. Dartmouth College affine Lie algebras and their universal Knickerbocker, Collen Joseph, I, Long {1;0,0,0,0,0,0,1) enveloping algebras. waves in nonuniform media. MATHEMATICS Opsut, Robert, Optimization of set assignments for graphs. Santini, Paolo Maria, Studies on non Halsey, Mark D., Line closure and linear evolution equations and the inverse Suh, Dong-Youp, Smith equivalence of the Steinitz exchange axiom: Hartmanis scattering transform. matroids. representations. STATISTICS Columbia University University of New Hampshire Chiou, Wen-Jau, Estimating common {7;5,2,0,0,0,0,0) {3;0,1,0,0,1,1,0) location of exponential distributions. STATISTICS MATHEMATICS Natarajan, Jayalakshmi, Sequential James-Stein estimation and related Chang, Fu, Contributions to the multi Dick, Thomas Patrick, An investigation armed bandit problem. of calculus learning using factorial model results. ing. Liu, Yueh-Chin {Regina), Histogram NEW MEXICO estimation of failure rate and some related Kokoska, Stephen Michael, Statisti functions under random censoring. cal methods for analysis of cancer New Mexico State University chemoprevention experiment. {2;1,0,0,1,0,0,0) MATHEMATICS Magness, Carolyn Margaret, Some prob MATHEMATICAL SCIENCES Lok, Walter Lawrence, Deformations of lems in Bayesian inference in a nonclas Kirby, James Carroll, Admissible vari locally homogeneous spaces and Kleinian sical setting. ables and extreme point analysis. groups Stelzer, Joerg Mathias, Ring theoretical Lyubeznik, Gennady, Set-theoretic inter NEW JERSEY criteria for cancellation. sections and monomial ideals. Princeton University Pittaluga, Marilena, On the automor University of New Mexico phism group of a polynomial algebra. {8;5,2,0,0,1,0,0) {3;2,1,0,0,0,0,0) Suciu, Alexandru Ion, Homotopy type in MATHEMATICS MATHEMATICS AND STATISTICS variants of four-dimensional knot comple de Shalit, Ehud, On p-adic £-functions Andradas, Carlos, Real places in function ments. associated with CM elliptic curves and fields. Wu, Xiaolong, On the extensions of arithmetical applications. Kim, Hae Kyung, Statistical properties abelian varieties by affine group schemes. of generalized nonlinear regression es Ho, Lop-Hing, Subellipticity of the "d timators with application. Cornell University Neumann problem on non-pseudoconvex {12;4,3,0,3,2,0,0) domains. Ombe, Hitoshi, Besov spaces on certain groups. Kuhn, Nathaniel S., A conjectural APPLIED MATHEMATICS inequality on the slice genus of links. NEW YORK Housman, David Leo, Some Noncoopera Redmond, Timothy St. J., PL equi tive game models of exchange. Adelphi University variant characteristic classes and G Pothen, Alex, Sparse null bases and {2;0,0,0,0,1,0,1) signature. marriage theorems. Scheinerman, Edward R., Intersection MATHEMATICS AND COMPUTER classes and multiple intersection param SCIENCE BIOMETRICS eters of graphs. Baderian, Armen Robert, Solutions of Evans, John C., Stagewise selection Silverberg, Alice, Mordell- Wei! groups of the random one dimensional Reynolds and classification of multivariate repeated generic polarized Abelian varieties. equation of lubrication theory. measurements.
764 Piegorsch, Walter William, Admissible Barr, Alan, Geometric modeling and Kim, Kwang lck, Inverse problems for and optimal confidence bands in linear fluid dynamic analysis of swimming attenuated random transform. regression. spermatozoa. Lee, Kelvin C., Numerical study of an Sitonik, Wilson K., Effects of distribu Ganser, Gary, Nonlinear waves in one orthotropic solid under dynamic loads. tional assumptions on the probability of dimensional bubbly flow. Ong, Michael King, Numerical solution correctly selecting the largest mean in a Hagan, Robert, Dynamic phase transi of elasto dynamic problems in fracture Model II balanced one-way classification. tions. mechanics. MATHEMATICS Itzikowitz, Samuel, Theoretical studies of Rodriguez, Juan Carlos, Maximum mesoscale eddies and their influence on entropy histograms. Helou, Charles, An explicit 2nth acoustic transmission through the ocean. Xie, Guan-Quan, Theoretical analysis and reciprocity law. Kaltofen, Erich, On the complexity computational method of inverse problems Lou, Jiann-Hua, Some properties of a of factoring polynomials with integer of wave equations. special class of self similar processes. coefficients. MATHEMATICS Odell, David Alan, Trace constructions in Kandri-Rody, Abdelilah, Effective Cortes, Victor, About the smoothness of alpha-recursion theory. methods in the theory of polynomial the limiting distribution functions. Webb, David Lea, Grothendieck groups of ideals. Hurley, John, The Schur multiplier of the dihedral and quaternion group rings. Narendran, Paliath, Church-Rosser and exceptional Lie group G2. OPERATIONS RESEARCH related Thue systems. Lee, Min Ho, Conjugation of group Fox, Robert William, Asymptotic Sandberg, Jonathan Sheffer, The mini theoretical Abelian schemes over an properties of parameter estimates for mum circuit cover problem. arithmetic variety. Local recognition of strongly dependent random variables. Spagnuolo, John, Moskowitz, Ira, Volume preserving folia Hilliard, Michael Ross, Weighted voting: certain digitized curves using automata tions and diffeomorphism groups. theoretic concepts. Theory and applications. Petersen, Troels, On the geometry of Madras, Neal Noah, A process in a SUNY at Albany Abelian schemes over arithmetic varieties. randomly fluctuating environment. (4;3,1,0,0,0,0,0) Purohit, Dayal, Curvature inequality and certain Toeplitz-like operators. New York University, MATHEMATICS AND STATISTICS Courant Institute Rosenthal, William Evan, On the (9;4,0,0,0,5,0,0) Ali, Mirza W., Test of equality of expected cohomology of Lie algebra extensions. values of positive definite quadratic forms. Sung, Li-yeng, Gaussian beams. MATHEMATICS Cupillari, Antonella, Inner functions Xia, Jingbo, Traces, indices and spectral Battifarano, Ernest, Conservative and boundaries for H"" on strictly theory of Toeplitz operators on multiply modification of upwind differencing. pseudoconvex domains. connected domains. Bledsoe, Margaret Randolph, The Dabrowski, Romuald, Rationality of method of complex characteristics for the compact forms of semisimple affine Syracuse University design of transonic compressors. groups. (1;1,0,0,0,0,0,0) Hsieh, June, The bad Boussinesq's equa Perera, Shelton, Support points and MATHEMATICS tion. extreme points of some classes of analytic Droms, Carl Gordon Arthur, Graph Klingenberg, Christian, On the stability functions. groups. of triple deck flow. SUNY at Binghamton University of Rochester Kondopirakis, Emanuel, A time substitu (2;2,0,0,0,0,0,0) tion problem. (1;1,0,0,0,0,0,0) Mullhaupt, Andrew, Boolean delay equa MATHEMATICAL SCIENCES MATHEMATICS tions: A class of semi discrete dynamical Lawrence, L. Brian, General product Silva, Cesar Ernesto, On Radon-Nikodym systems. spaces. derivatives. Sturm, Rachel, Link cobordism invariants. Mahdavianary, Seyed Kazem, Groups Szyld, Daniel Benjamin, A two level with many subgroups. NORTH CAROLINA iterative method for large sparse general ized eigenvalue calculations. SUNY at Buffalo Duke University Tso, Kaising, Perturbation theorems (3;2,1,0,0,0,0,0) (5;3,0,0,0,2,0,0) for nonlinear positive symmetric sys MATHEMATICS MATHEMATICS tems and nonlinear degenerate elliptic Flagg, Robert C., Integrating classical Goodrich, John Winston, II, A mathe parabolic equations. and intuitionistic mathematics. matical analysis and numerical simula Polytechnic Institute of New York Shambayati, Rahim, Fourier transforms tion of inert gas flow in a model avian (4;1,3,0,0,0,0,0) of distributions with one-sided bounded parabronchial lung. supports and their products. Israel, Karen Foster, Monotone behavior MATHEMATICS for equilibria of dynamical systems. STATISTICS Bennett, David Alan, A new sequen Messer, Thomas Clark, The propagation tial group-screening design for factorial Chen, Chang-Shang, On the estimation and creation of singularities of solutions experiments. of system reliabilities. of quasilinear, strictly hyperbolic systems Kneisler, Theodore Frederick, A hybrid in one space dimension. K-means clustering method. SUNY at Stony Brook (17;9,1,0,0,6,0,1) Micheli, Lucio, Propagation of sin Lawson, John Scott, Some aspects of the gularities for non-strictly hyperbolic semi statistical analysis of time to tumor data APPLIED MATHEMATICS AND linear systems in one space dimension. in carcinogenicity tests. STATISTICS Reid, Leslie Foster, Some results on the Pomerance, Errol, A generalization in Chen, Dao-Qi, Methods for function lower K-theory of singular affine algebras. cobordism of the Lefschetz fized point minimization. theorem. North Carolina State University, Choi, Young-Myung, Single vehicle trailer Raleigh Rensselaer Polytechnic Institute routing and scheduling problem with (12;2,3,0,4,0,0,3) (10;1,0,5,0,4,0,0) partial loads, time windows and dwell times. MATHEMATICS MATHEMATICAL SCIENCES Don, Eugene C., A numerical procedure Jensen, David Warren, Derivations of a Ahn, John Kwangho, Automatic map for the solution of nonlinear eigenvalue prime ring which satisfy a polynomial name placement system. problems. identity.
765 Smith, Marjolein V., Stochastic Hemakul, Wanida, A Neuman problem Sheen, Rong-Chyu, Orthogonal polyno differential equations from a modeling associated with the ordinary differential mials associated with exp(x6 /6). point of view with special emphasis on equation of second order. Thirunavukkarasu, K., Quotient sets, biological applications. Martin, Mary Barone, Invertible ideals in homomorphic images and multipliers. a polynomial ring. OPERATIONS RESEARCH Wajima, Masayuki, Non-associative al Sullivan, Frances Patrick, Entropy and gebras and their automorphism groups. Abdel-Gawad, Ekram Fathy, Control of dimension for conformal real and complex arrivals and routing in networks of queues dynamical systems. STATISTICS with applications to communication sys Chauhan, Chand K., Orthogonal factorial tems. OPERATIONS RESEARCH AND SYSTEMS ANALYSIS structure in an incomplete block design. Chou, Jaw H., Contributions to Mitchell, John Christopher, Multi-item Shukla, Rakesh, The statistical analysis nondifferential mathematical program of DNA/RNA base sequence sym ming. {s, S) inventory systems with a service objective. metries and the role of biological marker Erdem, Ismail, Three phase sampling for in leukemia through multistate survival misclassified binary data. STATISTICS analysis. Rajasekera, Jayantha Ranjith, Per Giltinan, David Michael, Bounded Voss, Daniel Thomas, Confounding in turbational techniques for the solu influence estimation in heteroscedastic single replicate factorial designs. tion of posynomial, quadratic and lp linear models. Wang, Chinying Jean, Simulation study approximation programs. Kim, Byung Soo, Studies in multinomial of grouped effect of Cox's regression with STATISTICS mixture models. application to liver cancer. Smith, Robert Alan, Asymptotic behavior Willavize, Susan Anne, Nonparametric Chalfant, James Allen, Choosing among of degenerate U-statistics. discrimination: A comparative study of flexible functional forms: An application Stefanski, Leonard A., Influence and several methods for the univariate two of the generalized Box-Cox and Fourier measurement error in logistic regression. sample case. flexibile forms to U. S. agriculture. El Badawi, Ibrahim, Semi-nonparametric omo Ohio University analysis of consumer demand systems. (1;1,0,0,0,0,0,0) Elssamadisy, Elssayed Mousa, An ex Case Western Reserve University tended life cycle model of investments, (6;0,0,0,5,0,0,1) MATHEMATICS work and consumption. Grabner, Elise Marlene, Pre-images of BIOMETRY Fountis, Nicolaos George, Test for a unit certain generalized metric spaces. root in autoregressive multivariate time Keltner, Lew, A software system for series. display of family relationships and infor- University of Cincinnati mation in pedigree form. (7;2,1,1,1,0,0,2) Hester, Robert Allen, Jr., Uniform residuals and NU residuals tests for OPERATIONS RESEARCH EPIDEMIOLOGY AND BIOSTATISTICS heteroscedasticity. Chen, Wen-Kuei, A mean-lower partial Ruberg, Stephen John, An adaptive Tamura, Roy Noriki, Minimum Hellinger moment analysis of hedge portfolios. two-sample for shifts in location using distance estimators for multivariate loca Madey, Gregory Richard, A corporate truncated ranks. tion and covariance. R&D strategic planning and budgeting MATHEMATICAL SCIENCES University of North Carolina, model. Nishimura, Koichi, Applications of in Bendjilali, Boualem, Stability of an Chapel Hill teger programming to radio frequency economic system using ordt"nary and (17;3,11,0,1,1,0,1) management. retarded functional differential equations. BIOSTATISTICS Thadathll, Jacob Mani, Optimiza Benedict, Jeffrey P., A unification of Andrade, Dalton, ML estimation and LR tion methods in hierarchical holographic several multivariate statistical procedures tests for the multivariate normal distribu modeling. with new applications. tion with patterned mean and covariance Venkateswaran, V., A new approach for Guacaneme, Julio Enrique, Aspects ·of matrix. Complete and incomplete data determining when the linear complemen the theory of Tikhonov's method for the cases. tarity problem has no solution. numerical solution of integral equations. Boyle, Kerrie Eileen, Survival model for Kent State University Ortega, Louis A., A Sturmian theorem fertility evaluation. (3;3,0,0,0,0,0,0) for parabolic operator with periodic Bryant, Edward Carroll, Area-under coefficients and applications. MATHEMATICAL SCIENCES the-curve analysis and other analysis QUANTITATIVE ANALYSIS strategies for repeated measures clinical Eid, Ghazi Mahmoud, Classical quotient Godlewski, Fabienna, Analysis of coor trials. rings with perfect topologies. Norfolk, Timothy Shane, On the zeros dination mechanisms in decentralized, Hawkins, Doyle L., Sequential detection hierarchical decision making processes. procedures for autoregressive processes. and poles of Pade approximants to certain hypergeometric functions. Leigh, William Ernest, Jr., Interpretation Johnson, Robert Earl, A comparison Wei, Yu Chuen, L-L integral transforms. of natural language database queries using of error probabilities for two standard optimizating methods. analyses of variance in unbalanced two Ohio State University way designs. (12;5,3,0,0,1,0,3) Stanek, Edward J., III, The relationship OKLAHOMA between weighted least squares categorical MATHEMATICS data analysis, seemingly unrelated regres Bagchi, Sitadri Nath, On A.E. conver Oklahoma State University sion and growth curve analysis. gence of classes of multivalued asymptotic (6;1,4,0,0,1,0,0) Whaley, Fredrick Seymour, Some martingales. MATHEMATICS properties of the two-sample multidimen Chidume, Charles Ejike, Iteractive El-Gebeily, Mohamed, Isometries and sional runs statistic. methods and nonlinear functional equa tions. epsilon-near isometries of analytic func MATHEMATICS Grove, John Whitaker, A priori estimates tion spaces. Goolsby, Ronnie, Duality for polynomially t"n non-isentropic gas dynamics. Hoecker, Niel Edward, A modified finite complete subspaces for Bergman spaces. Hung, David Cheung-Yan, Theta series difference method to solve elliptic par Hal chin, Judy Diane, Analytic properties of quadratic forms over Z and tial differential equations with reentrant of random power series. Z((1 + JP)/2]. comers.
766 STATISTICS Saphire, Diane G., Estimation of vic University of Pittsburgh Cook, Peyton, A Bayesian analysis of timization prevalence using data from the (7;1,5,0,0,1,0,0) national crime survey. auto-regressive processes: Time and BIOSTATISTICS frequency domain. Stasny, Elizabeth Ann, Estimating gross Arbutiski, Thomas, A family of mul Hamdy, Hosny, Sequential estimation of flows in labor force participation using tiplicative survival models incorporating the parameters of negative exponetial and data from the Canadian labour force cure as a function of covariates. survey. rectangular distributions. Seth, Anand K., Some statistical con Moen, David, The Bayesian analysis of Wu, Da-Ching, An analysi8 of first nuptial siderations in the analysi8 of incomplete structural change in multivariate linear confinements in Australia. data on weight of cleft palate children. models. Lehigh University MATHEMATICS AND STATISTICS s:~ai~~~~!~~:!~~· The estimation of (2;2,o,o,o,o,o,o) Nayak, Tapan K., Applications of entropy functions in measurement and analysis of University of Oklahoma MATHEMATICS diversity. (1;1,0,0,0,0,0,0) Frantz, Deborah A., Summability Peddada, Shyamal Das, Some contribu methods, probability distributions, and tions to the theory of non-negative es MATHEMATICS associated positive linear operators. timation of variance components, with Harmon, Dennis Ray, NK1 of non Friedland, Lewis, A certain class of applications components. abelian groups. almost Hermitian manifolds. Sarkar, Shakuntala, Correlated regression equations and inference from nonnormal OREGON Pennsylvania State University populations. (5;5,0,0,0,0,0,0) Sledge, Frank R., A finite element Oregon State University implementation of the dual variable (2;0,2,0,0,0,0,0) MATHEMATICS method for the Navier-Stokes equations. Zomorrodian, Reza, Homomorphisms of STATISTICS Abu-Sbeih, Moh'd Zuheir Ibrahim, Wrapped coverings and genus embeddings Fuchsian groups and nilpotent automor Hanlen, Richard C., An atomic approach of graphs. phism groups of Riemann surfaces. to assessing the outlier properties of Bator, Elizabeth Mary, Duals of separable probability models. RHODE ISLAND Banach spaces. McClellan, Paul James, Maximum Matet, Jean Pierre, Filters of partitions efficient admissible linear unbiased es Brown University and generalized descriptive set theory. ( 4;4,0,0,0,0,0,0) timation in mixed linear models. Presler, Dwayne Lyle, On the solution of MATHEMATICS University of Oregon a minimax dual. Blomstrom, Carol Ann, Extrinsically (3;2,0,0,0,0,0,1) Reiter, Clifford Arno, Large fundamental symmetric and planar geodesic isometric MATHEMATICS units and the monomial norm equation. immersions in Pseudo-Riemannian space forms. Johnson, Diane Louise, Fixed point Temple University Dorman, David Richard, Prime fac evaluation in Gaussian quadrature and (5;2,3,0,0,0,0,0) generalized monosplines of minimal norm. torization of singular moduli. Ryan, Kevin M., Schubert varieties in the Owens, Margaret Ann, Continua which MATHEMATICS flag manifold ofSC(n,C). are unicoherent at a subcontinuum. Cavaliere, Richard, Automorphic integrals Spyropoulos, Konstantine, Certain Rowell, James W., Unilateral Ji'redholm and their period functions. diophantine equations of degree three and theory in Banach algebras. Horwitz, Alan, Optimal recovery and four. restricted interpolation of certain classes PENNSYLVANIA of functions. SOUTH CAROLINA Camegie-Mellon University STATISTICS Clemson University (12;1,5,0,0,3,0,3) Boik, Robert J., Multiplicative models (4i0•0•2•0•2•0•0) MATHEMATICS for interaction in unbalanced two-way MATHEMATICAL SCIENCES ANOVA. Black, Stephen Bennett, Coordination of Chen, Tsu-fen, On finite element ap Dinh, Khoan Tan, A new multivariate dis- control for large-scale systems. proximations to compressible flow prob tribution related to the minimum variance Frawley, Michael David, Discrete models lems. unbiased estimator of the multivariate for nonwoven fabrics. Cox, Christopher Lee, Weighted least normal with applications. Pfaff, John Stuart, Algorithmic com- squares finite element methods for Moore, Annette L., Extensions of mu.l- plexities of domination-related graph domains with corners. tivariate missing plot techniques to parameters. Deisher, Caroline A survey of I., bivariate design settings. Stevenson, Dennis Elliott, A framework the applications of P6lya 's enumeration for the development of simulation systems. theorem. University of Pennsylvania Miller, Dale, Proofs in higher-order logic. (4;2,2,0,0,0,0,0) University of South Carolina Spear, Kathleen Ann, Some results in (1;0,1,0,0,0,0,0) continuum mechanics. MATHEMATICS MATHEMATICS AND STATISTICS Suri, Manil, Mixed variational principles Brittain, Donald Lee, A diameter pinch Patterson, Ronald F., Strong convergence for time dependent problems. ing theorem for positive Ricci curvature. theorems for exchangeable arrays of Thomas, John Powers, Jr., A qualitative Petro, John, Great sphere fibrations of random variables and random elements analysi8 of an elastic-plastic oscillator manifolds. in banach spaces. with conservative loading. STATISTICS TENNESSEE STATISTICS Dunn, Dennis, Estimation of parameters Bellow, Michael Elliot, Performance of University of Tennessee in discrete time hazards models. self-organizing sequential search heuristics (6;2,0,0,0,4,0,0) under stochastic reference models. Haroun, Ahmed, On the asymptotic MATHEMATICS May, Sherry!, Log-linear modelling tech efficiency of the moment estimates of Allen, Edward J., A Galerkin method for niques applied to some epidemiologic and the covariances of a stationary moving numerically solving the energy-dependent psychiatric data. average process. neutron transport equation.
767 Bestvina, Mladen, Characterizing K Roberson, Pamela D., An uncountable Goodlow, Janis Lee, Use of confidence dimensional universal Menger compacta. collection of Case- Chamberlain type con regions for testing hypotheses concerning Bowers, Philip Lee, Applications of tinua with no model. activity and therapeutic synergism in general position properties of dendrites Sparra, James, Stochasitc approximation chemotherapy experiments. to Hilbert space topology. of fixed points. Schwab, Barry S., Parametric and non de Luna, Jose T., Analysis of mathemati parametric analysis of the multiple design cal models of resource-consumer-toxicant University of Texas, Arlington mulitvariate linear model. interactions. (5;2,1,0,0,0,0,2) Goyal, Sulbha, A class of Rosenbrock MATHEMATICS Virginia Polytechnic Institute type schemes for second-order nonlinear Chiou, Chwei-Jeng (Paul), On the choice and State University systems of ordinary differential equations. of a prior distribution for binomial sam (18;1,3,0,6,1,0, 7) Guirguis, George H., On the existence, pling: An information theoretic approach. uniqueness, regularity and approximation INDUSTRIAL ENGINEERING AND Mahaney, Lou Ann, On primary fac OPERATIONS RESEARCH of the exterior Stokes problem in R 3 . torization and generating sets for ideals in commutative rings. Beaton, Robert John, Image quality and TEXAS McCasland, Roy Lynn, Some commuta human performance: An evaluation of tive ring results generalized to unitary quantitative predictors for soft-copy and North Texas State University hard-copy displays of digital images. (3;3,0,0,0,0,0,0) modules. Moore, Jane Karen Camp, Two general Cavalier, Tom Michael, Static and MATHEMATICS ized concepts of ordinary differentail equa sequential location-allocation problems on Huang, Kuodo James, Algebraic numbers tions: Mo-stability and mia:ed monotone networks and areas with probabilistic and topologically equivalent measures. operators. demands. Walsh, John Breslin, Iterative solution of Pandit, Sudhakar G., The method of Chansaenwilai, Petcharat, Monotone linear boundary value problems. upper, lower solutions for hyperbolic bounds on the productivity of fixed-cycle Williams, Stanley Carl, Universally mea partial differential equations. production lines. surable sets and nonisomorphic subal Chao, Betty Pao-Ti, Human perfor gebras. University of Texas, Austin mance evaluations of selected image (3;1,1,0,0,1,0,0) Rice University enhancement/restoration techniques. (5;1,1,1,0,2,0,0) MATHEMATICS Co, Henry C., Design and implementation Kuga, Ken'ichi, On immersed 2-spheres of flexible manufacturing systems: Some MATHEMATICAL SCIENCES in some 4-manifolds. analysis concepts. Boswell, Steven Blake, Nonparametric Seager, Mark Kennedy, Adaptive finite Cordes, Richard Edward, Use of mag mode estimation for higher dimensional element grid generation and extension nitude estimation for the evaluation of densities. for elliptic problems posed on unbounded software ease-of-use using direct and in Fontecilla, Rodrigo, A general conver domains. direct comparison approaches. gence theory for quasi-Newton methods Wuu, Julie, Efficient incomplete block Jones, Marilyn Smith, A computerized for constrained optimization. designs. robot selection system. Scheidler, Michael Joseph, Acceleration waves. !Gessler, Peter Charles, Flows in queueing UTAH networks. Zadeck, Frank Kenneth, Incremental data flow analysis in a structured program University of Utah Leung, Larry C., A time-dynamic produc editor. tion function approach to equipment re (1;1,0,0,0,0,0,0) placement decisions and economic equip MATHEMATICS MATHEMATICS ment replacement models for flexible Wilkinson, Steven V., Characterizing Luminet, Denis Laurent, A functional manufactun"ng systems. Gauss maps. calculus for Banach algebras with polyno Rajan, Roby, A game theoretic analysis Southern Methodist University mial identities. of cooperative phenomena in oligopolistic (4;0,2,0,2,0,0,0) markets. VIRGINIA Revesman, Mark Elliot, Validation and OPERATIONS RESEARCH application of a model of human decision Farhangian, Keyvan, Networks with side University of Virginia making for human/computer communica constraints: An LU factorization update (4;2,0,2,0,0,0,0) tion. for the working basis inverse. Patty, Bruce Willard, The suppressed APPLIED MATHEMATICS MATHEMATICS AND COMPUTER SCIENCE basis algorithm for linear programs with Fernandez, Roberto, Study of ferromag special structure. Carson, Scott David, Geometric models of concurrent programs. netic systems with many phase transi STATISTICS Charlton, Spottswood Coleman, tions. Eslinger, Paul W., Minimum Hellinger Lookahead paging algorithms. Khouzam, Fouad, Stiffly stable Adams distance estimation. type methods. Lee, Young-Ha, A modified bootstrap MATHEMATICS Landman, Bruce Michael, Generalized method for distribution free confidence Kennedy, Thomas Garrett, A rigorous van der Waerden numbers. intervals. study of the mean field approximation of Miekisz, J acek, Gibbs states in ferromag Debye and Hucke! for Coulomb systems. netic, abelian systems. Texas A & M University Young, Virginia Ruth, Branched cover (1;0,1,0,0,0,0,0) ings arising from group actions. STATISTICA STATISTICS Virginia Commonwealth University Banks, David Lane, A nonparametric Spector, Philip Charles, Analysis of (3;0,3,0,0,0,0,0) Bayesian test. variance with autocorrelated errors. BIOSTATISTICS Grubbs, William Douglas, Collinearity University of Houston in simultaneous systems. Best, Alvin M., ill, A Monte Carlo (3;2,0,0,0,1,0,0) Hussey, James Robert, Effects of cor evaluation of a method to determine MATHEMATICS confidence region about the stationary relation induction schemes on variance criteria and experimentally designed com Nail, Van Clyne, Weak confluence and point and the response of the stationary puter simulation. W-sets. point in a response surface model.
768 WASHINGTON Franzosa, Robert David, Index filtrations Queen's University and connection matrices for partially (2;1,0,1,0,0,0,0) ordered Morse decompositions. University of Washington MATHE!Ii!ATICS AND STATISTICS (11;3,0,0,2,5,0,1) Goldwasser, John L., Some contributions to the theory of permanents. Dilcher, Karl H., Zeros of Bernoulli APPLIED MATHEMATICS polynomials. Jia, Rong-qing, Spline interpolation and Cryptology: Computa Easthope, Paul Fripp, An alternative some related topics. Meijer, Hendrikus, tional complexity and applications. approach to boundary layer disturbances. Kass, Steven Neil, A recursive formula Li, Hon Keung, Part I. Resonant interac for characters of simple Lie algebras. Universite de Montreal tions for nearly periodic weakly nonlinear Ross, David A., Measurable transforma ( 4;1,2,0,0,1,0,0) dispersive waves. Part II. Resonant modal tions in saturated models of analysis. MATHEMATIQUES ET STATISTIQUE interactions and adiabatic invariance for Shao, Jia-yu, On the properties of a nonlinear wave equation in a variable Baghagha, Layachi, Estimation par le nonnegative primitive matrices, irreducible domain. maximum de vraisemblance dans les matrices and their associated directed modeles des reponses aliatoires. Mansfield, Edward Joseph, Modeling and graphs. control of membrane transport processes: Boivin, Andre, Approximation uniforme Applications to lung fluid balance. harmonique et tangentielle holomorphe ou Murray, John Michael, On the proper WYOMING meromorphe sur les surfaces de Riemann. ea:tension of optimal control problems to Hudon, Georges, Tests concernant la admit impulses. University of Wyoming moyenne d 'une population normale {2;1,1,0,0,0,0,0) multivariee. MATHEMATICS Karrakchou, Jamila, Analyse et com Bell, Allen Davis, Localization and ideal MATHEMATICS mande des systemes differentiels fonction theory in Noetherian crossed products and Waters, Charles William, Some fixed nels de type hireditaire. differential operator rings. point theorems for radial contractions, Universite Laval Bell, Bradley Martin, Nonsmooth op nonexpansive, and set valued maps. {2;1,0,0,0,1,0,0) timization by successive quadratic pro STATISTICS gramming. MATHEMATIQUES Chakravarti, Rajiva Srinivas, The basic Andrew, Michael Elliot, Hypothesis tests Fortin, Andre, Methodes d'eliments finis element theorem for fully bounded rings. involving ocean wave properties. pour les equations de Navier-Stokes. Saerens, Rita, Interpolation manifolds. Zraibi, Abdelwalrab, Sur les fonctions Sallee, John Francis, Some triangulations CANADA analytiques multiformes. of cubes. University of British Columbia Treinran, JayS., A new characterization of Carleton University (5;4,0,0,0,1,0,0) Clarke's tangent cone and its applications (3;3,0,0,0,0,0,0) to subgradient analysis and optimization. MATHEMATICS MATHEMATICS AND STATISTICS Vakil, Nader, Infinitesimal spaces: A Foreman, Michael, Dispersion analyses topological characterization of Wattenberg Chaudhry, Muhammad Aslam, Distribu- of finite element solutions of the shallow infinitesimals. tional Hilbert transform and boundary water equations. value problems. Holzmann, Wolfgang, Involutions with Washington State University Estrada Navas, Luis, On selfinjective 1 or 2-dimension fixed point sets on {3;3,0,0,0,0,0,0) algebras of finite representation type. orientable torus-bundles over a 1-sphere MATHEMATICS Shalr, Mihr Jalranian, Certain infinite and on unions of orientable twisted 1- sums involving ultraspherical polynomials bundle over a Klein bottle. Boerner, Victoria Lee, A new class of and ultraspherical functions of the second Sertoz, Sinan, Singular holomorphic folia semifields. kind. tions. Chang, Li-Ly, Basic scales. Sharpe, Bruce, The Faddeer-Popov tech Perez-Esteva, Salvador, Convolution MeGill University niques in gauge field theories. operators for the one-sided Laplace trans {6;4,1,0,0,1,0,0) Slade, Gordon Douglas, An asymptotic formation. loop expansion for the effective potential MATHEMATICS AND STATISTICS in the P(4> )2 quantum field theory. WISCONSIN Jay, C. Barry, Generalizing the structure semantics adj"untion: Operational catego University of Calgary (1;1,0,0,0,0,0,0) University of Wisconsin, Madison ries. (14;14,0,0,0,0,0,0) Kenny, Patrick Joseph, Ergodic measures MATHEMATICS AND STATISTICS for a class of horocycle flows. Offin, Daniel C., An index theory for MATHEMATICS Power, John Anthony, Butler's theorem periodic orbits in Hamiltonian systems. Adams, Colin Conrad, Hyperbolic struc and adjoint squares. tures on link complements. Provost, Serge, Distribution problems University of Manitoba Byun, Hyeja, Endomorphism rings and connected with the multivariate linear {1;0,1,0,0,0,0,0) elementary division theory for modules functional relationship models. STATISTICS over Dedekind-like rings. Sangines, Luis Manuel, On quadratic Weiss, Giinter Max Theodor, A large Calcaterra, Robert Anthony, Galois planes. deviation study of consistent estima correspondences in group actions. Selby, Alan M., Determinacy and unfold- tion of a translation invariant location Carroll, Jeffrey Steven, Recursively ings for non-smooth maps. parameter. enumerable equivalence relations. Enayat, Ali, Topics in the model theory Lf McMaster University University of Toronto set theory. (2;1,0,0,0,0,0,1) (5;0,5,0,0,0,0,0) Fajardo, Sergio, Contributions to the MATHEMATICAL SCIENCES STATISTICS model thoery of probability logics. Bartlett, Sheryl Anne, Posterior and Cho, Chung Je, Combinatorial designs Falk, Michael J., Geometry and topology predictive distributions for the normal with prescribed automorphism types. of hyperplane arrangements. multivariate linear model with monotone Prime ideals and Fernando, Suren Lala, Simple weight Poole, David Gordon, blocks of data which are missing at modules of complex reductive Lie algebras. localization in Noetherian Ore ea:tensions. random.
769 Berkowitz, Jonathan, On assessing O'Neill, Philip Francis, Piecewise con University of Windsor the chi-squared appro:cimation to log tinuous optimization. (1;0,1,0,0,0,0,0) likelihood ratio tests. Richter, Robert Bruce, The topology of MATHEMATICS Hui, Tak-Kee, On tests of multivariate embedded graphs. normality. Masaro, Joseph C., A-optimal weighting PURE MATHEMATICS Katapa, Rosalia Sam, Statistical analysis designs. of familial data. Simons, Gordon Edward, Varieties of lattices with definable Stukel, Therese, Generalized logistic rings, groups and principle congruences. Doctoral Degrees models. STATISTICS AND ACTUARIAL SCIENCE University of Waterloo Conferred 1982-1983 (11;4,2,0,3,2,0,0) Bartlett, Roy F., On estimation with kriging for finite populations under super APPLIED MATHEMATICS population models. Supplementary List Goode, Stephen W., Spatially in DiCiccio, Thomas Jules, Higher order The following entry supplements the homogeneous cosmologies and their rela comparisons of asymptotic methods for list of thesis titles published in the tion with the Jilriedmann-Robertson conditional and unconditional interval November 1983 Notices, pages 734-747, Walker models. estimation. and in the April 1984 Notices, pages Vrscay, Edward Robert, Continued frac- 331-332. tions, algebraic and quantum mechanical University of Western Ontario large order perturbation theory. (3;1,0,0,0,2,0,0) MINNESOTA APPLIED MATHEMATICS COMBINATORICS AND OPTIMIZATION University of Minnesota, Yves, The iterative solution of Caron, Richard John, A parameterized Beaudoin, a nonlinear equation using the integral Minneapolis Hessian quadratic programming problem. {1;0,1,0,0,0,0,0) equation formulations of an imbedding. Cook, William John, On some aspects of Douglas Stephen, Numerical STATISTICS totally dual integral systems. Salhani, solutions to porous flow problems. Feofiloff, Paulo, Disjoint transversals of Christensen, Ronald R., Searching for directed coboundaries. MATHEMATICS the lowest price using Dirichlet processes to model the unknown price distribution. Koop, Gerald Jacob, Optimal multiple Thomas, George Rubin, Reflectivity: A shift manpower scheduling models and generalization of commutativity, cancel algorithms. lation and separativity in semigroups.
Maximal Functions Measuring Smoothness Ronald A. DeVore and Robert C. Sharpley tials and fractional derivatives in the study of frac tional order smoothness. This monograph develops Maximal functions are most often used to control the intrinsic properties of these maximal functions the size of a function. The best known example is and their related smoothness spaces. maximal function which gives the Hardy-Littlewood 1980 Mathematics Subject Classifications: 26835, 46E35, bounds for estimates over cubes. More recently 26A15; 42825 other maximal functions which measure oscillation Memoirs of the AMS or cancellation have found important application Number 293, viii + 116 pages (soft cover) in the study of HP spaces and BMO. This mono list price $11. institutional member $9, graph studies a third (but related) type of maximal individual member $7 ISBN 0-8218·2293-4; LC 83-21494 function which measures smoothness. These maxi Publication date: January 1984 mal functions offer attractive alternatives to poten- To order, please specify MEM0/293N
Shipping/Handling: 1st book $2, each add'l $1, max. $25; by air, 1st book $5, each add'l $3, max. $100 Prepayment is required. Order from American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-556-7774 to charge with Visa or MasterCard.
CONTEMPORARY MATHEMATICS terns in two complex variables, while Delanghe and Sommen, Brackx and Pincket, and Lounesto investi Plane Ellipticity and Related Problems gate hypercomplex function theory in Rn, that is the class of homogenic functions having values in a Robert P. Gilbert, Editor Clifford algebra. In this collection of papers concepts associated The remaining talks comprising this special meet with plane-ellipticity are extended in several ways. ing cannot be categorized as falling into a general For example, the investigations of Begehr and Gilbert, group, but rather explore isolated, albeit important, Begehr and Hsiao, Hile and Snyder treat systems of topics associated with ellipticity. elliptic partial differential equations in the plane which resemble in some sense the Cauchy-Riemann Contemporary Mathematics Volume 11, viii + 245 pages (soft cover) equations. Their point of view is to seek general List price $22, institutional member $18, representation formulas and to use these in some individual member $13 cases to solve boundary value problems. Continuing ISBN 0·8218-5012·1; LC 82·11562 with the theme of generalizing the Cauchy-Riemann Publication date: September 1982 N equations, Buchanan treats the Bers-Vekua type sys- To order, please specify CONM/11 Shipping/Handling: 1st book $2, each add'l $1, max. $25; by air, 1st book $5, each add'l $3, max. $100 Prepayment is required. Order from American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-556-7774 to charge with Visa or MasterCard.
770 Mathematics Salaries: Up and Competitive by R. D. Anderson
The College Placement Council Salary Survey Of the eighteen categories of employment listed analyzes initial (nonteaching) offers to bachelor's in the report about a third of the 533 offers to and master's candidates in various disciplines mathematicians were in the "banking, finance and and by various categories of employment. The insurance" category and another third were in the 1983-1984 report (July 1984) uses data from 187 "aerospace, electronics and instruments" category placement offices at 162 colleges and universities with the remaining third scattered among the in the United States. The table below gives other sixteen categories. Interestingly, in each data for all those curricula with at least 500 of these two employment categories with high offers reported for bachelor's candidates in 1983- employment of mathematicians, the average offer 1984 (with monthly salary reports converted to an to mathematicians was slightly in excess of the annual basis). average offer to computer scientists in the same employment category. Average The average Master's candidate offer in math 83-84 % ematics (78 offers reported) was $28,764, about Curriculum Offer Change $1,300 below that for Computer Scientists and (for all types (12month From $2,200 below that for Electrical Engineers but of Employers) basis) 82-83 about $5,500 above that for Master's candidates Chemical Engineering $27,420 +2.6 in Accounting. The average math offer was up Electrical Engineering 26,556 +4.0 12.9% from the 1982-1983 level, more than twice (incl. Comp. Engineering) the increase in the three other disciplines cited Mechanical Engineering 26,280 +4.5 here. Industrial Engineering 25,224 +2.6 The data here provide further evidence that Engineering Technology 24,936 +3.6 mathematicians are in increasing demand and are Computer Science 24,552 +5.4 doing very well in the "real world". Mathematics Mathematics 23,400 +8.4 training as well as that in computer science and Civil Engineering 22,764 +1.5 engineering is being recognized as increasingly Economics 19,980 +4.7 important in the age of technology. Those of us Accounting 19,524 +4.0 in mathematics should get the word out to high Business (Gen'lincl. Mgmt.) 18,660 +4.6 school students and undergraduates. Marketing & Distribution 17,820 +5.2 A Word of Caution: The size of salary offers Humanities 17,724 +7.0 depends on supply, demand, the state of the Other Social Sciences 17,424 +10.0 economy, tradition, and many other factors. One cannot tell with certainty what the market would The information contained herein from the be like under a really large increase in the supply College Placement Salary Survey is reprinted of mathematics majors. However, the central with the permission of the College Placement and pervasive role of mathematics in the age of Council, Bethlehem, Pennsylvania 18017. technology should help prevent the boom-or-bust employment phenomena that occasionally affect more specialized areas of science and engineering.
771 Mathematics and Technology by Robert Hermann
For twenty-five years I have been involved world. The Committee which wrote the Report with the development of mathematics in science is strongly represented by people from these and technology: Thus I am very pleased to see Centers, and their point of view is evidently the recent Report of the "Ad Hoc Committee dominant. Everything looks neat and clean from on Resources for the Mathematical Sciences," this Olympian perspective: Let us drive ahead published in the August 1984 issue of the Notices. and develop Global Analysis or Supercomputers As part of their campaign to persuade· Congress or whatever and the goodies will flow out to to make up for the bad treatment mathematics Science and Technology. However, those of us has received in the last fifteen years, they have out in the trenches often find little appreciation suggested as first priority-at least it is first on or understanding among most mathematicians of their list of "Opportunities" -the development what is involved in this process of development of of Mathematics and Technology. I hope such mathematics used in other disciplines. It is very attention by a distinguished panel will, as a side difficult for anyone trained in pure mathematics benefit, bring to the attention of the mathematical who wants to work on the mathematical problems world the prospects and realities of life outside of of interest to scientists and engineers: Like rowing the cocoon of academic mathematics. I would like upstream, with people on the shore throwing rocks to supplement the Report with a few comments at you. based on my own experience. The mathematical areas of greatest importance The main thrust of the Report is the financial for science and technology often first arise from situation: Mathematicians, having no need of inconspicuous origins which have no obvious place extensive facilities or postdoctoral programs, have in the world of the mainstream mathematician. not fought as have the physicists and other scien Two examples are Soliton and Control theory. tists and engineers to keep the share of the pie Now in principle there is nothing contradictory which they had in the 1960s. The Report goes about this: From a sufficiently broad perspective into considerable documentary detail about this, everything flows together. Solitons have been but does not speculate on the underlying reasons. absorbed into this Big Picture-thanks mainly My own belief is that the mathematicians who to the Russian mathematical community, which were involved with process of scientific policy and for historical reasons seems to have more of a politics-and they form a small closed group feeling of how mathematics is applied. In Control, did not want to become involved with the messy this understanding by the broader mathematical political business of radically changing direction world has yet to take place! from the monolithically "pure" emphasis of the A major obstacle is the Nlli (Not Invented 1960s and developing new institutions needed to Here) syndrome. Thus it is now (but not in solve old problems of balance between "pure" and the 1960s, when the physicists were doing the "applied." These problems are especially acute original work, and a few of us were trying to in American mathematics, which has historically make some sense of it!) respectable in terms had little of the interaction between theory and of Berkeley /Harvard/Princeton mathematics to applications which existed in the great European think about the challenging mathematical prob centers of the early 20th century. (Many of lems at the summit of Quantum Mechanics or the refugees of the 1930s-most notably Weyl Elementary Particle Physics, but someone think and von Neumann-remarked on this imbalance ing about things mathematical at the level of in the structure of American mathematics, and the present-day ''working" scientist or engineer warned of the problems to come.) There has often still finds himself extremely isolated and his been some encouraging change of emphasis since work hindered because of the Nlli factor. And 1970 towards renewed intellectual contact between of course under present conditions-in contrast science and engineering, and development of sub to the 1960s-this is likely to mean death for jects like Numerical Analysis and Combinatorics financial reasons. The rewards and recognition which are closely linked to applications; but it has for mathematical research are made on classical been too little and too late. Calvinist lines: He who has gets more! Part of the problem has been the gap between Another delicate but crucial point is at the life and perception in the mathematical Centers level of what what one might call the "sociology" the Berkeleys, Harvards, NYU's-and the outside of the mathematical world. This world, as it
772 stands, is very hierarchical and even colonial: Pure thirty or so years and find the same pattern Mathematicians are to be educated as graduate over and over again: Attempts to develop a students in the Centers, trained as Algebraists, topic of interaction between mathematics and Analysts, Topologists, or whatever, then scatter engineering, which is enthusiastically pursued on out to serve in the Provinces, where they will bring the engineering side for a few years, but then dies Mathematical Culture to the Natives. Applied when the mathematicians reject or ignore it, or on Mathematicians are trained in such subjects as the engineering side it is considered to fall under Numerical Analysis or Combinatorics and are "basic research" and therefore out-of-bounds for then either to work in Industry (where they will engineering-oriented supporting agencies. There rarely meet a problem in the form which their is much peer pressure among engineers, even the training will do them much good) or else teach "mathematical" ones, to only work on topics and try to emulate their "pure" cousins. This which have a short pay-off time, and/or to drop is the state of the mathematical world that we it when the mathematical formalism seems too have inherited from the expansion of the 1960s, exotic or difficult. and the underlying structure is now threatened One can sympathize with the engineers: It is by bankruptcy. The Report is an admirable the mathematician's job to take over the oars at a attempt to raise money to save it, but going certain point. For example, the Report mentions in the directions it suggests will require more with pride the role that Wiener and Levinson fundamental changes to overcome the inertia of played in the development of the mathematics of the present system. 1-D linear filtering theory: What it does not say Turning to the intellectual side of the issues, is that, after the brisk development in the 1960s I want to pose as a main problem the state (mainly by engineers), the further development of of communication between the academic mathe the theory and its extension to higher-dimensional maticians-and it is strange that it makes so little or nonlinear situations suggested by current topics difference whether they are "pure" or "applied" of importance in engineering is not at all presently and those of us who work on the mathematical of concern to any substantial number of people in problems encountered in engineering and try to the mainstream mathematical world. Nll:I again! make use of what has been developed in the I can understand that this Report is something "pure" world, and adapt it to the applications. I of a political document-like a Party Platform often feel that we live in a Black Hole: Information and not the place to face head-on these difficult about the mathematical world filters in, but it and structural problems. However, I have seen seems that none gets out. This is not primarily the many chances slip by over the last twenty years fault of those on the engineering side: They often while the Dr. Panglosses who speak for us assure make great efforts to establish communication and us that everything is for the best in the best of all intellectual collaboration with the mathematical possible worlds. Now that it is clear that we are world, but more often than not find themselves headed over the cliff perhaps more attention will rebuffed. One can go over the history of the last be paid.
between the two is often deceptive. Thus, it is de AMS TRANSLATIONS, SERIES 2 sirable to publish from time to time a summary of important problems with the participation of a large circle of authors. The Kourovka notebook is such a The Kourovka Notebook: collection of unsolved problems in group theory. Unsolved Problems in Group Theory The current edition is the seventh, the first having appeared in 1965. Experience has shown that the translated by D. L. Johnson and others idea of collecting problems of interest in a given area Lev J. Leifman and D. L. Johnson, Editors at a given time is fully justified. Of the 422 prob- From the Preface: !ems in the sixth edition, 151 have now been solved. To form an up-to-date picture of what is going This edition is augmented by Chapter 7. The on in a given area of mathematics, we usually consult first six chapters have been reproduced from the a shelf of current periodicals or, to save time, the sixth edition with slight editorial changes. The com- appropriate section of a reviewing journal. Thus we ments on the problems have been reviewed and learn of new advances in the area, which problems augmented. have been solved, what progress has been made with 1980 Mathematics Subject Classification: 20-06 others, while rarely, and then only in the context of AMS Translations, Series 2 the author's own resu Its, we learn which problems Volume 121, vi + 112 pages (hard cover) the author failed to solve but considers interesting. List price $33, institutional member $26, individual member $20 In all this, a summary of current problems has no ISBN 0.821 8-3079-1; LC 83-9965 less a place in the development of a subject than a Publication date: August 1983 list of achievements, though the apparent connection To order, please specify TRANS2/121 N Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.
773 News and Announcements
Z. W. Birnbaum Awarded as chief actuary in a life insurance company in Wilks Medalist Poland until he came to New York University as a biometrician in 1937. In 1939 he joined At the 1984 Annual Meeting of the American the faculty of the Department of Mathematics at Statistical Association, Z. W. Birnbaum was the University of Washington, where he made his awarded the Wilks Medal "for major contributions best-known contributions as a researcher, teacher, to the theory of reliability and to nonparametric and collaborator. statistics, for the study of the characteristics of The Samuel S. Wilks Memorial Medal Award wearout and multicomponent systems, for the was established in 1964 with funds donated by ingenious derivation of inequalities and bounds Philip G. Rust, Thomasville, Georgia. The used in his theory, for the wide applications and Award consists of a medal, a citation, and an leadership provided by his work, and for his honorarium and is given to honor an individual inspiration as a collaborator with and teacher of "for contributions to statistical theory or practice, outstanding statisticians." through publications or participation in programs Birnbaum is Professor Emeritus at the Univer of instruction on practical application, that sity of Washington. He is best known for his directly or indirectly have benefited the U.S. iimovative work in reliability and, in particular, in Government or the country generally." multicomponent systems. But professional statis ticians are well acquainted with his results in non Statistical Awards Presented parametric statistics and stochastic inequalities and bounds. What is not as well known is his At the 1984 Joint Statistical Meetings the early work in actuarial science and biometry. following awards were presented. Birnbaum was born in Lwow, Poland, and The COPSS Presidents' Award was presented received his Ph.D. in Mathematics at University to David V. Hinkley, University of Texas at of Lwow in 1929. After several postdoctoral Austin. This award, sponsored by the statistical years at the University of Goettingen, he served societies in North America, is given annually to a statistician under 40 years of age "in recognition AMS Research Fellowship Fund of a single contribution or an aggregate of Request for Contributions contributions to the profession of statistics." The award consists of a certificate and a $1,000 prize. The AMS Research Fellowship Fund was The George W. Snedeeor Award, sponsored by established in 1973. From this fund AMS the North American Regions of the Biometric Research Fellowships are awarded annually to Society and the American Statistical Association, individuals who have received the Ph.D. degree, is for the best paper published in biometry. The who show unusual promise in mathematical award, which consists of a prize of $300, was given research, and who are citizens or permanent to two papers: Estimation of time-specific survival residents of a country in North America. rates from tag-resighting samples: A generalization Twenty-seven Research Fellowships have been of the Jolly-Seber model, C. Brownie and D. awarded including one granted for 1984-1985 S. Robson, Cornell University, Biometrics, 39 and one for 1983-1984 (see the announcements (1983), pages 437-453, and Determination of the in the February 1984 Notices, page 157, and maximum Foregut volume of western rock lobsters in the April 1983 issue, pages 304-305). The (Panulirus cygnus) from field data, R. A. Mailer, number of fellowships awarded depends on the E. S. De Boer, and L. M. Joll, CSIRO, Western contributions the Society receives. The Society Australia, and D. A. Anderson and J. P. Hinde, contributes a minimum of $9,000 to the Fund University of Lancaster, England, Biometrics, 39 each year, matching one-half of the funds in (1983), pages 543-551. excess of $18,000 raised from other sources, up to a total contribution by the Society of $20,000. Each member of the Society is requested to The 1985 Pierre Robillard Award contribute to the fund. The objective of this award is to recognize Contributions to the AMS Research Fellow ship Fund are tax deductible. Checks should the best Ph.D. thesis defended at a Canadian be made payable to the American Mathematical university in 1984 and written in a field covered by The Canadian Journal of Statistics. Judging Society, clearly marked "AMS Research Fellow ship Fund," and sent to the American Mathe will be on the basis of the level of originality in matical Society, Post Office Box 1571, Annex the ideas and techniques, the possible applications Station, Providence, Rhode Island 02901. and their treatment, and the potential impact on the statistical sciences.
774 The Award Coordinator must receive four (4) (Hartwick College), Austria; and KATHLEEN M. copies of the thesis together with a covering letter STONE (College of St. Catherine), West Germany. from the thesis supervisor indicating why the thesis is suitable as an entry in the competition Claude Chevalley (description of the problem, techniques and 1909-1984 results, potential impact ...), by January 16, 1985. Official confirmation that the thesis has Claude Chevalley, professeur honoraire, been defended in 1984 must also be provided. Universite de Paris 8, died on June 28, 1984. Award Coordinator: C. Field, Department of He was born February 11, 1909, in Johannesberg, Mathematics, Statistics and Computing Science, Transvaal. He was educated in Paris, completed Dalhousie University, Halifax, Nova Scotia B3H his agregation in 1929 and received the Docteur 4H8, Canada; 902-424-3339. es Sciences degree in 1934. Chevalley was one of the founding members of the Bourbaki project. Claude Shannon Given In 1937 he was awarded the Prix Francoeur in Who's Who Achievement Award Paris. He came to the Institute for Advanced Study in 1938 and during the 1940s he served Claude E. Shannon is one of five Americans on the faculty at Princeton. From July 1949 who have received the Marquis Who's Who, fuc., to June 1957 he was a professor of mathematics 1984-1985 Achievement Award. Shannon's award at Columbia University. Following his service at was given in the Technology, Mathematics, and Columbia, he returned to France. the Physical Sciences category. Chevalley received the Society's Cole Prize in Shannon, who is Donner Professor of Science at 1941 for his paper La thiorie du corps de classes, M.l. T., and who was a member of the Technical Annals of Mathematics (2), volume 41 (1940), Staff at Bell Laboratories before joining the M.l. T. pages 394-418. He gave an invited hour address, faculty in 1956, is a member of the National Theory of algebraic Lie groups, at the AMS meeting Academy of Sciences and the American Academy in New York City, April1947, and he served as a of Arts and Sciences. He was awarded the member of the Transactions editorial cominittee National Medal of Science in 1966 by President from 1950 to 1955. fu 1951 the Society published Johnson. his book Introduction to the theory of functions of Shannon was educated at M.l. T. (Ph.D. 1940). one variable in the Mathematical Surveys series He is noted for his contributions to information (volume 6), which was most recently reprinted in theory (as developed in his paper A mathematical 1979. In 1967 he was elected an honorary member theory of communication, Bell System Technical of the London Mathematical Society. Journal 27, 1948) and for his application of boolean algebra to the theory of switching circuits NRC Senior and Postdoctoral (which he developed in his master's thesis at Research Associateships M.l. T.). The National Research Council (NRC) has 1984-1985 Fulbright-Hays Awards announced the 1985 Postdoctoral, Resident, and Cooperative Research Associateship Programs for Four hundred ninety-seven U.S. graduate stu research in the sciences and engineering to be dents have received Fulbright-Hays awards for conducted on behalf of twenty-one federal agencies 1984-1985. These awards are administered by or research institutions, whose laboratories are the Institute of International Education. Only located throughtout the United States. The two of the awards were given to students in the programs provide Ph.D. scientists and engineers mathematical sciences. The mathematics' stu of unusual promise and ability with opportunities dents, their U.S. institutions and the countries in to perform research on problems largely of which they will study are DIANE M. HARRINGTON their own choosing yet compatible with the research interests of the supporting laboratory. Request for Photos Initiated in 1954, the Associateship Programs have contributed to the career development of In conjunction with the Centennial of the over 3,800 scientists ranging from recent Ph.D. American Mathematical Society which is to be recipients to distinguished senior scientists. celebrated in Providence in 1988, the AMS would like to set up an exhibit of group photos from Approximately 250 new full-time associateships meetings and siinilar items of interest. will be awarded on a competitive basis in If anyone has memorabilia of this kind which 1985 for research in chemistry, engineering, and mathematics, and in the earth, environmental, they would like to give or loan to the AMS, please write to William J. LeVeque, Executive physical, space, and life sciences. Most of the Director, American Mathematical Society, P.O. programs are open to both U.S. and non-U.S. Box 6248, Providence, Rhode Island 02940. nationals, and to both recent Ph.D. degree holders and senior investigators.
775 Awards are made for one or two years; senior News from the Mathematical applicants who have held the doctorate at least five Sciences Research Institute years may request shorter tenures. Stipends for Berkeley the 1985 program year will begin at $25,350 a year for recent Ph.D.'s and be individually determined Three programs are in progress during 1984-1985, for senior associates. A stipend supplement up the third year of MSRI: K-theory and index theory of operator algebras, low-dimensional topology, and to $5,000 may be available to regular (not senior) differential geometry. The first two are full scale awardees holding recognized doctoral degrees in programs and differential geometry is a "miniprogram". those disciplines wherein the number of degrees Operator algebras began with an intensive week-long conferred by U.S. graduate schools is significantly workshop in August. The three members of the program committee (Alain Connes, Ronald Douglas, below the current demand. In the 1984 program and Masamichi Takesaki) each gave a presentation that year these areas have been engineering, computer ran a full morning and there were also such presentations science, space-related biomedical science, and by Raout Bott, Daniel Quillen, and Isadore Singer. A petroleum-related earth sciences. similar closing workshop will take place in June 1985. Applications to the National Research Council A highlight of the workshop was the announcement by Vaughan Jones of a new polynomial invariant for knots; must be postmarked no later than January 15, this arose in a totally unexpected way from his work on 1985. Initial awards will be announced in March subalgebras of factors of Type II. This has subsequently and April followed by awards to alternates later. been generalized by several mathematicians: Adrian Information on specific research opportunities Ocneanu, Ray Lickorish and Kenneth Millett, Peter Freyd and David Yetter, and James Hoste; they found and federal laboratories, as well as application a polynomial in two variables which includes as special materials, may be obtained from Associateship cases both the Jones polynomial and the classical Programs, Office of Scientific and Engineering Alexander polynomial. This work is of course of Personnel, JH 608-D3, National Research Council, keen interest to the low-dimensional topologists and has 2101 Constitution Avenue, N.W., Washington, brought about an unanticipated bridge between the two programs. D.C. 20418; 202-334-2760. -NRC News Release Three workshops on manifolds will move logically from dimension 2 (October) to 3 (January) and then to Smithsonian Opportunities in the 4 (May). The program committee consists of Robert Edwards, Robion Kirby, John Morgan, and William History of Seienee and Technology Thurston. The programs for 1985-1986 have been announced The Smithsonian Institution announces its pro in widely distributed posters: there will be a full gram of research training in higher education in program in computational complexity, and half size the History of Science and Technology for 1985- ones in mathematical economics and geometric function 1986. Smithsonian Fellowships are awarded to theory. Plans for 1986-1987 are virtually complete. The feature will be a large program in number theory with support independent research, in residence at the connections to algebraic geometry. Smithsonian, related to research interests of the Topics will include: Institution's professional staff and using the In (a) The relationship between the arithmetic of stitution's collections, facilities, and laboratories. algebraic varieties and the analytic properties of their Six to twelve month pre- and postdoctoral fellow L-series; the conjectures of Tate, Birch and Swinnerton ship appointments and ten-week graduate student Dyer, Deligne, and Beilinson. appointments are awarded. Proposals for research (b) Finiteness theorems for curves and abelian varieties. may be made in fields in which the Institution has (c) The arithmetic of Shimura varieties and automor research strength: history of mathematics, physi phic forms. cal sciences, medicine and pharmacy, engineering, (d) p-adic analysis and uniformization. transportation, agriculture, air and space, electri The organizing committee for the program consists cal technology, and the history of science in of Benedict Gross (chairman), Nicholas Katz, Barry America. Mazur, Kenneth Ribet, and John Tate. In addition, Applications are due by January 15, 1985. two innovations will be introduced in 1986-1987. The first is partial sabbatical-type support for midlevel Stipends supporting the awards are: $18,000 per mathematicians; this will be publicized well in advance, year plus allowances for postdoctoral fellows; with applications invited. The second innovation $11,000 per year plus allowances for predoctoral will be several (probably two) programs running for fellows; and $2,000 for graduate students for approximately a month; these are intended to widen the coverage MSRI is able to give to important areas the ten-week period of appointment. Pre- and of mathematics. Suggestions for these ''microprograms" postdoctoral stipends and allowances are prorated are welcome and can be communicated to Calvin Moore, on a monthly basis for periods of less than one the Deputy Director. year. In the middle of December 1984, MSRI will move to Awards are based on merit. Smithsonian its new building in the hills overlooking the Berkeley campus. Fellowships are open to all qualified individuals Shiing-Shen Chern became Director Emeritus on without reference to race, color, religion, sex, September 1. However, he continues to be very active national origin, age, or condition of handicap in MSRI affairs and is running the current differential of any applicant. For more information and geometry program. His successor is Irving Kaplansky. application forms, please write: Office of Fellow ships and Grants, Smithsonian Institution, Desk
776 News from the Institute for Mathematics I and its Applications COLLOQUIUM Minneapolis PUBLICATIONS The 1984-1985 year in Continuum Physics and Partial Differential Equations is well under way. In addition to a workshop on Homogeniza tion and Effective Moduli, October brought The Geometric Topology of 3-Manifolds a series of visits from several distinguished R. H. Bing physicists. These included Peter Chen of Sandia The book starts with a treatment of some of the Laboratory, Pierre de Gennes of the College geometric and topological properties of the plane. de France, Roger Tanner of the University This treatment is expanded to study such funda of Sydney, and Robert Thurston of Bell Com mental properties of 3-space as the PL Schoenflies munications Research. A number of interest theorem, Dehn's lemma, the loop theorem, and the ing problems concerning ferro-electric crystals, side approximation theorem. Applications of these dynamics of wetting, numerical viscoelasticity fundamental results are made to develop further and stability of liquid crystals were considered. properties of 3-manifolds. Melvin Hochster, Peter Huber, and Victor This book is most meaningful to a mathematician Klee have agreed to serve three-year terms on interested in geometry who has had at least a begin the board of governors of the IMA. They will ning graduate course in topology. While a student replace Wendell Fleming, Frederick Gehring, can start the book with less preparation, the chances and Jiirgen Moser, whose terms expire on are that those with weaker backgrounds will bog December 31. Continuing members of the board down if they work without the benefit of discussion. are Donald Burkholder, James Glimm, Elliott The book belongs in both graduate and under Lieb, Joseph Keller, Daniel Kleitman, Karen graduate libraries. It can serve as a useful reference Uhlenbeck, and Shmuel Winograd. for a graduate student in topology or a researcher in topology. A study of the book should provide The Board will be selecting topics for pro the reader with a better understanding of the phys grams beyond the 1986-1987 year on Scientific ical properties of Euclidean 3-space-the space in Computation. Suggestions from the mathe which we presume we live. The reader should learn matical community would be much appreciated. of some unsolved problems that continue to baffle Persons with ideas for programs should contact researchers. the director, Hans Weinberger, at an early date. The most profound result in the volume is the P, 3300 L'Enfant Plaza, Washington, D.C. 20560. side approximation theorem. However, as a reference Please indicate the particular area of the proposed tool some of the preliminary results and some of the research and give the dates of degrees received or applications may be used more frequently. expected. Contents Mathematics Educators' Program Preface in the Soviet Union 1. Planar complexes 2. PL planar maps Soviet mathematics is an important component 3. The Schoenflies theorem in elementary and secondary school curricula. 4. Wild 2-spheres Since educators in the U.S. are strengthening 5. The generalized Schoenflics theorem the mathematics requirements in schools, the 6. The fundamental group Citizen Exchange Council (CEC) is sponsoring a 7. Mapping onto spheres visit to the USSR, March 8-25, 1985, for U.S. 8. Linking mathematics educators. 9. Separation During this visit, the U.S. educators will meet their Soviet counterparts in their institutes and 1980 Mathematics Subject Classification: 57-XX schools to discuss with them methods and aims Colloquium Publications Volume 40, viii + 240 pages (hard cover) in mathematics education. The program will be List price $54, institutional member $43, lead by James Ware, Professor of Mathematics individual member :$32 and Head of the Department of Mathematics ISBN 0·8218·1 040·5; LC 83·14961 at the University of Tennessee at Chattanooga. Publication date: October 1983 He will be assisted by a fluent Russian-speaking To order, please specify COLL/40N CEC staffer. The program will visit Moscow, Shipping and handling charges: surface Simferopol, Yalta, and Leningrad in the USSR, delivery - $2 first book. $1 each additional. maximum and Helsinki in Finland. For a detailed brochure $25; air delivery - $5 first book. $3 each additional. please write to Citizen Exchange Council, 18 maximum $100. Prepayment Is required. Order East 41 Street, New York, New York 10017; from American Mathematical Society. PO Box 1571. 212-889-7960. Annex Station. Providence. Rl 02901-1571 USA.
777 Letters to the Editor
Renewing U.S. Mathematics an excellent young teacher is cutting his own I am a new mathematics Ph.D. who turned down throat. At one university where I interviewed, I academic offers to take a job in industry. I suppose was warned not to let the students take up my this qualifies me as one of the "disillusioned young time. Another university considered one of its researchers" discussed in the report of the Ad Hoc selling points to be its large lecture classes, which Committee on Resources for the Mathematical would be completely outlined for me so that I could teach them by rote, without ''wasting" my Sciences and in the companion article by Murray research time. What could be more demoralizing Gerstenhaber, both of which call for increased than a system which expects (or even demands) federal funding. As I examine the causes of my that I do a bad job? disillusionment with academics, however, I find I do not know whether I am typical of those that they have much more to do with the academic leaving academia. But if I am, it is clear that system itself than with the lack of funding. more is needed than just additional funding. The In the mathematical community today, there is mathematical community needs to realize that no common view of what is good mathematics. discovering new knowledge is only half of its job. There is no common definition of our purpose as The other half is to make sense out of this new mathematicians or our role in the world. There knowledge, i.e. to figure out what this knowledge is no global vision that would allow us to see how means to mathematics and to the world. our individual research contributes to the progress If this second half of the job is ever going to get of man. Instead, each group of specialists seems done, it must be done in the universities. Mathe to trudge forward with its head down, not even matics departments should commit themselves to bothering to interpret its work for the rest of us, this sense-making, both in the form of exposition to say nothing of the general public. and in the form of teaching. Moreover, this I make this complaint for a very specific reason: commitment must be made where it counts-in In the absence of any cultural standards, I have no promotion and tenure decisions. Any other kind way to evaluate the significance of my own work. of commitment is just a lot of pious mumbling. My nightmare is not that I will reach 40 and lose Of course more funding would be welcome. support for my research, it is that I will reach 70 But if more money simply reinforces the notion and decide that my research was pointless. that mathematics can sprawl endlessly without Many believe that this kind of chaos is inevitable priorities or values, then the mathematical com in a field as large as mathematics, but I think it munity may be better off without it. is the result of an academic system that actively Douglas J. Muder discourages the search for a global view, especially MITRE Corporation among younger mathematicians. (Received July 27, 1984) For example, if a young mathematician takes a So the National Research Council's Ad Hoc theorem whose significance he does not understand Committee on Resources for the Mathematical and generalizes it blindly, this is publishable Sciences says in the August 1984 issue of the research and increases his chances for promotion Notices that pumping large amounts of new and tenure. If, instead, he works to discover research money mainly into the top 10 or 20 the significance of this theorem, and writes mathematics centers will renew mathematics in an expository article explaining this to other the U.S.A. mathematicians (or even to the general public), We don't believe it. this is likely to go unpublished or, if published, How will that increase our ridiculously low be discounted by those who evaluate him for salaries, or reduce our high teaching loads, or advancement. improve the quality of students we are sent from A young mathematician who tries to understand the high schools, or make careers in mathematics mathematics' relationship to the other sciences more attractive to our students? It won't. is courting trouble in a similar way. At one Students don't have to be told that mathematics university where I had a job offer, I was told about in the U.S.A. is terminally ill. Why would any a previous assistant professor who was denied student consider mathematics even for a fleeting tenure because his interdisciplinary work ''wasn't moment when, for example, starting salaries for really mathematics" . Ph.D.'s in mathematics are thousands of dollars A young mathematician is expected to teach, less than B. Sc. 's in engineering? but not to teach well. An abominable teacher Putting fresh icing on a rotten cake will not may have his advancement hindered slightly, but make the cake edible. Those at the top 10 or 20 one who puts in the time and effort to be excellent mathematics centers in the U.S.A. will eat most will not be rewarded. To the extent that this time of the fresh icing, and the rotten cake will remain and effort detracts from his publishable research, untouched.
778 P.S. Only when mathematics becomes a profession In addition, instead of doing outside consulting with an accreditation organization and lobby for industry and government, why not bring like the medical, business, and engineering industrial problems into the schools? This could organizations will it be possible to begin rebuilding be accomplished by closer cooperation between mathematics in the U.S.A. mathematical and industrial groups and the very Dallas S. Lankford contacts we use to obtain consulting work. Louisiana Tech University Instead of complaining how other fields are (Received August 1, 1984) draining the pool of mathematical talents we should be encouraging mathematics to grow in Status of the Profession areas that are of obvious use and interest. What are we working on today that will create new It seems from Professor Gerstenhaber's article departments in the future because we can't cope "On the Status of the Mathematics Profession" with success? that he understands the problems and causes David M. Weiss but that he can't find any practical solutions. Ridgewood, New Jersey The basic problem of course is that nobody (Received August 14, 1984) understands us and we won't explain ourselves. Instead of waiting for the public to get smart and Mathematics Education recognize us for the "national treasures" we are, it is time for us to actively come out of our holes. In the fifties and sixties, knowing the power We have fostered the public perception that and pleasure youngsters have in advanced mathe mathematics stopped in the eigthteenth century matical thinking, the "new math" was brought by striving for ever greater abstraction and purity. into being by mathematicians. Spreading first on This has removed the understanding of this the secondary level, it caused real problems on the elementary level; after a period of agony it work from all but specialists. When important was mostly rejected, to be replaced by a demand applications such as computers and game theory for "back to the basics." In the present time of were opened up we abdicated these fields to other pressures, the focus is on the passing of multiple departments such as engineering and economics. choice tests, the lowest indicator of learning, It is time to realize that in abstracting our and more discipline and harder work in school work we have denied the public the ability to are called for, while the true state of growth understand and appreciate us. We have at the and learning is at its lowest ebb, particularly in same time confused ourselves so that many of us "problem solving" [5]. don't realize any ultimate purpose to our work. On the highest levels, search for the underlying I suggest that we refocus our efforts to give the causes of failure seems to be abandoned, with nation a better understanding of how twentieth recommendations aimed at symptoms, not the century mathematics has contributed to the disease. The two national commissions of 1983 growth of other fields in the soft and hard (see [6]) both call for all students to take more sciences. Perhaps we can restate this work to mathematics in high school, for lengthening the show its relevance. school day and year, and for more homework, testing and monitoring. It is clear on the face Poli~y on Letters to the Editor of it that for the great mass of failing students Letters submitted for publication in the Notices are with real "math anxiety," this will push them reviewed by the Editorial Committee, whose task is increasingly into dropping out, delinquency, crime to determine which ones are suitable for publication. and suicide. The publication schedule requires from two to four months between receipt of the letter in Providence and It is essential for the health of our youth and the publication of the earliest issue of the Notices in which country that we regain responsibility and move it could appear. in better directions. True cures are simple and Publication decisions are ultimately made by majority well known: Let the students regain their natural vote of the Editorial Committee, with ample provision powers. What is needed is a full understanding for prior discussion by committee members, by mail or of what pushes children into rote learning at an at meetings. Because of this discussion period, some early age, how teachers and students can return letters may require as much as seven months before a final decision is made. to proper creative work, and especially, how to get community cooperation to let good programs The committee reserves the right to edit letters. continue, once started. Above all, we need to The Notices does not ordinarily publish complaints about reviews of books or articles, although rebuttals face openly our loss of true goals and subsequent and correspondence concerning reviews in the Bulletin denying of the humanity of both students and of the American Mathematical Society will be considered teachers; your help here is sorely needed. for publication. To regain real goals, it is sufficient to note that Letters should be mailed to the Editor of the preschool children are exploring and learning in Notices, American Mathematical Society, Post Office the best possible manner, at a level far above Box 6248, Providence, Rhode Island 02940, and will be acknowledged on receipt. any school mathematics (for instance in verbal and non-verbal communication), and without any
779 formal teaching. It is such powers that are fourth grader "What is 6t- 2.~?" her answer needed in adult life, and need to be nurtured came easily: "Take away ¥, leaves 6; take away and practiced in school; but particularly in another ¥,leaves 5¥; take away 2, leaves 3¥." mathematics, such experience is almost totally After the initial grade or two, the teachers are lacking. We give a brief description of the usual nearly always pressed to cover the material. Each school experience, as seen through my intensive topic must be taught and continually retaught; observations since 1967, in the classroom and and next year's teacher has the same problem out. The low morale in the schools is well known with the same topics. Remedial classes are under [4], but the actual dynamics and attitudes in the way, and there are lower tracks for the "slow" mathematics classroom have not been brought out and "disadvantaged" (labeled through pressure clearly. The general pattern is that of presenting and failure, not true ability). The teachers are all material, denying the knowledge and power in pressed to teach, monitor and test more, and they the children, and through pushing for constant demand more work, which only aggravates the work, completely stopping their own thinking and problem; that is the system which all must obey. hence learning with meaning. We blame the teachers quite unfairly for this. Early on, the patterns like 2 + 3 = D are All this pressure causes the children to listen easily handled; you find the number 5 and harder to the teacher at all moments, answer write it in the box. But later patterns like questions at once (otherwise you are passed over); 4 = D - 7 given no clue as to what to do; this and especially, don't think for yourself! (There forces explanations like "the equal sign means is never time to, anyway.) There are many " which are totally incomprehensible and homework problems (all meaningless). You do against the children's experience. The resulting the first simply by trying to apply the rules for rejection of explanations and search for rules of the day; most are done haphazardly, and in none the day increase right through high school. of them do you pay attention to either question Most of the teaching is traditional in nature. or answer as something to learn from. The idea Subtraction of 2-digit numbers is taught first that in all this you are learning bit by bit is ''without borrowing." In -~~ ''we work first with preposterous. The main result is the building of the units" tells the children to cut the problem negative feelings, anxiety in particular. into two subtractions; the message is: Forget the I am painting the general picture; there are numbers, learn the rules. This is easy, and exceptions among students and whole classes, but the topic is soon "mastered." Next comes -!~ these are relatively rare. In the better classes, the ''learning" is still essentially as I describe, mostly which is again easy for the children; there are without meaning, but with less pressure. The two problems, and of course you always take the NAEP question, 26 children, four per car, how smaller number from the bigger. But no, there many cars needed, got 3% correct response from comes "can you take 8 from 2? What does that 4 the 9-year olds with calculators (12% said 6.5, 7% mean?'' The new message is ominous: The rules said 65). Word problems are school problems, not you learn one day will change with a new topic, real. All the way around a rectangular garden, even if you see nothing new. The children are 10 feet by 6 feet, gave rise to adding the numbers beginning to experience those feelings they have by 59% and 38% and multiplying them by 14% seen in older children and adults: "I never could and 21% of the 9- and 13-year olds respectively. do math!" Putting the fractions 5/8, 3/10, 3/5, 1/4, 2/3 and The reality of the failure is shown by the 1/2 in order of size was accomplished by 0%, 2% national assessments (NAEP); see [5]. The exercise and 12% of the three age groups respectively. "Subtract 237 from 504" was asked of all three Would the best procedure be simply to throw age groups, 9, 13 and 17, with success rates 28%, out all this teaching, merely helping the children 73% and 84% respectively. In division, 6)608 was attack valid problems? This, if allowed, would done by 69% and 65% of the 13- and 17-year be ideal; and it was actually done with amazing olds respectively. Yet with decimal currency, it results by Benezet in the thirties [2]. In the present is trivial to divide six 100's and eight 1 's between period we must choose a partial solution: Begin six people, with two 1's left over. by allowing some real exploration, leading at first "Drop long division and fractions from the directly to those elusive algorithms; this is needed curriculum" is the present call. If the baby suffers to satisfy both the public and professionals. Here from pumping trash food into him, throw him is one sample. Using play money with ones, tens out. It is the continual teaching, forcing rote and hundreds only, give a child (better, a small learning, that is at fault. I have seen countless group) five hundreds and four ones for instance, hours of teaching addition and subtraction of and offer an object for sale for $237. On being "mixed numbers" with continual forgetting the given three hundreds, respond "Sorry, I have no only result. The futility is shown by the NAEP change." This gives the responsibility to the child exercise 2~ + 5, done by 43% and 65% of the (or group) to find a way. In real life, go to a 13- and 17-year olds respectively. Before you are bank; here, see that you can look in that money taught, there is no problem. When I asked a bag and use it as a bank. You have to get change
780 twice (get tens, then more ones); then the object The usual "individualized" programs and is bought and the change counted. The result, "I "mastery learning" have the basic flaw of con can subtract without help!" is generally magic. trolling all by standardized tests. This removes Repeating the process and recording what was the students from contact with the teacher, so done, the algorithm appears; using the recording complete lack of understanding goes undetected to repeat your (or another group's) process relates [3]; and 20% failure is called 80% success and the written work firmly to meanings. Shortly the hence "mastery." topic is solidly understood, and the teacher may For positive results, work in local school proceed to other topics, abandoning those long systems, first to promote real communication lists of useless homework exercises and escaping among people and groups (starting through more the pressure of covering the material. I have seen accepting listening); then cooperation for true the validity of this plenty of times. Ail to long goals is vital. Getting experiments started where division, I have carried out a similar process with real explorations take place, particularly to arrive a group of teachers in a poor school in Brazil, six at algorithms as shown above, can be of enormous of them to share a given sum, and seen the electric benefit. I cannot make specific recommendations; change from "impossible to teach long division" you must explore ways and means yourself. to "Now I know they can," since no mathematical References rules of any kind were used. For their future, true responsibility belongs to [1] Helen L. Beck, Don't push me, I'm no the students. It is stopped by the handing in of computer, McGraw-Hill, New York, 1973. papers and waiting for the papers to be marked. [2] L. P. Benezet, The story of an experiment, It is promoted by the student's asking, "Do I Journal of the National Education Association, know I can do this well?" before doing it, and 24 (1935), 241-244 and 301-303; 25 (1936), handing in only top work. 7-8. Algebra, as now taught, removes responsible [3] S. H. Erlwanger, Benny's conception of rules exploration, since the student has no basis on and answers in IPI mathematics, Journal of which to judge validity; there is no clear situation Children's Mathematical Behaviour, 1, No. 2, to explore. And I realized recently how I failed (1973), 7-26. to do really well with my college and graduate [4] J. I. Goodlad, A placed called school, McGraw students when I asked an adult (with real math Hill, New York, 1984. anxiety) how she might put numbers from one to [5] National Council of Teachers of Mathematics, a million on one line, showing enough numbers to Report on the Second National Assessment get a feeling for different sizes. She soon spaced 1, of the National Assessment of Educational 10, 100 ... evenly. Then, trying numbers 2, 3, ... , Progress (NAEP), Reston, VA, 1980. 9, and looking at 11 and up, she found squeezing [6] Notices, 30, No. 6 (October), 580-590; No. 7 needed. Now she chose a better place for 2 (November), 748-754, 1983. ahead of 1, and at once put 20 correspondingly Hassler Whitney ahead of 10. I suddenly realized she had invented Institute for Advanced Study the (general) exponential function and found its (Received September 28, 1984) derivative! She had gotten a feeling for meanings that my calculus students almost never reached, Erratum and with absolutely no teaching! We are really holding back our college students' natural powers In my letter titled Definitions (Notices, October in the same way it happens all through school. 1984, page 629), an error occurs in the next-to What are the most pressing needs? Certainly of the-last paragraph (beginning "A non-unit ... "). high priority are the stopping of mandating more In place of the last two words of that paragraph, work which serves only to increase anxiety, and "integral domains," one should read "unique educating against promoting still earlier teaching factorization domains." [1], [2]. The excuse for the above mandating lies P.M. Cohn in the belief of researchers that "time on task" is University College London the only factor in learning, and this in turn arises (Received October 9, 1984) from studying school results on standardized tests only. It represents what happens in school, not Black Women Mathematicians what could happen. The quality is held down Since my article on black women in mathe by this belief, the belief that students cannot matics appeared in the· October 1981, Monthly, solve problems involving two or more steps, and many people have asked me about other black the belief that most students are slow learners women research mathematicians. There are two or disadvantaged. All these beliefs are shown Americans inadvertantly omitted from the article to be false by [2], along with the belief that and three who received their degrees between the accomplishment can come only through prolonged time the article was written and mid-1982, as teacher training. Moreover, the pressing need of well as several in other countries. The November improved language skills is solved by the same 1983, Notices reports that there were six other program of Benezet. who received degrees recently.
781 Who and where are these? I would appreciate impute erroneous interpretations to my presenta being told their names and addresses. One young tion: My own responses ('I didn't say that,' or mathematician telephoned 3000 miles to tell me 'Nothing can be further from the truth,' e.g.) in how much the article had "motivated" him two cluded clarifications which Silverman conveniently years before, and many others have express!ld ignored in his letter. appreciation for knowledge about this scattered My presentation, like the abstract, pointed but inspiring group. Recent information would out that the word, 'truth,' and therefore its enable me to write other articles to help combat acquisition, have different connotations in different the sense of isolation that minorities and women cultures, a result molded in large part by their too often feel as they strive toward mathematical respective religious bases. What Silverman excellence. has conveniently omitted to say is that I Patricia C. Kenschaft cited in the post-session discussion the current Montclair State College 'evolutionists-creationists debate' as yet another (Received July 1984) example of 'truth' suffering abuse because of the archaic definition of that term as it applies An International Shame to the Hebraic Old Testament ['unwavering I am writing to request an apology from the conformity with God's will as made known in Editorial Committee for the publication of the the (Hebraic/Talmudic/Mosaic) law']. He also 4 November 1983 letter, An international shame, ignored the abstract's penultimate reference &nd of H. Silverman [Notices, June 1984, page 375] its referents, in which it is made clear not only and for the evident lack of professional courtesy that the Western/Christian connotation of 'truth' for not providing me the opportunity to refute follows that of the New Testament (in Greek, Silverman before publishing his slanderous claim, 'truth' means 'the actual state of affairs') but also an unfounded attack on the presentation at our that this connotation of truth has as its established Fairfield, Connecticut, 29 October 1983 AMS motivation: survival. Einstein's relativity theories meeting of my paper, Is not relativity theory are like that of the creationists: if true, only of a becoming an international shame? [Abstracts AMS, prophetic, not a scientific, nature. vol. 4, 1983, page 424, No. 806-83-56]. Silverman commences his letter with one Silverman asserts that, in my presentation, I paragraph of political diatribe, interspersing more stated, without even an attempt at justification, of the same into his false account of my presenta that Einstein was led to his relativity theories tion at Fairfield, and then concludes in his third because of his Judaic background and that these paragraph with a request that our AMS Abstracts theories should therefore be discredited. not contain 'political diatribe,' the overall effect Silverman is absolutely wrong. I never made of his letter being an implication that my own this statement, either during the paper's 10- abstract [No. 806-83-56] is 'political diatribe' [!] minute presentation or during the roughly twenty Neither my abstract nor its presentation discussed minutes of discussion which ensued at the close politics. of the session in which I presented the paper in Silverman's invective, if left uncorrected, would question. establish a policy of permitting mathematicians I of course have a tape recording of both to be assailed if ever they seek to evaluate my presentation and the post-session discussion the truth content, if any, of one of our major and, as their transcript reveals, there were at subject categories (i.e., Relativity). However, least three attempts in questions formulated from we mathematicians can, I believe, sustain any the audience (including, I suspect, Silverman) to discussion, at our AMS meetings, regarding the truth about truth. G. Arthur Mihram Princeton, New Jersey (Received June 25, 1984)
782 National Science Foundation News 8 Reports
NSF Evaluation NSF Awards Visiting of Research Institutes Professorships for Women
The Mathematical Sciences Research Institute The National Science Foundation {NSF) has {MSRI) in Berkeley, California, and the Institute announced twenty-nine awards designed to help for Mathematics and Its Applications (IMA) in make full use of the Nation's scientific and tech Minneapolis, Minnesota, were approved by the nical resources by encouraging women to develop National Science Board {NSB) in April1981, after careers in science and engineering research. an evaluation process that took over three years. The awards, called Visiting Professorships for The Institutes were approved for a start-up period, Women, will enable experienced women scientists plus five full years of operation. Full operation and engineers to participate in the research and at each Institute commenced in September 1982 teaching programs of a host institution. The visit and each is now in its third year of activity. The ing professors will also serve as advisors and coun NSB will consider any renewal of these Institutes selors to students and provide encouragement to in the Fall of 1985. Accordingly, we are at other women to pursue careers in science. Among present actively engaged in the evaluation of these the recipients are nine mathematical scientists. Institutes. These scientists, their home institutions, fields of Any input from the mathematical science study and the institutions they will attend are as community involving the scientific activity at follows: the Institutes or the operation of them is SuN-YUNG ALICE CHANG (University of welcome. We are also interested in suggestions California, Los Angeles), Applications of modern of factors to be considered in the evaluation. real analysis methods, California Institute of Items may be sent to the undersigned at the Technology; GRACIELA CHICHILNSKY {Columbia Division of Mathematical Sciences, National University), Topology and its applications to Science Foundation, Washington, D.C. 20550. economic equilibrium, game theory and so John C. Polking, Division Director cial choice, University of California, Berkeley; Alvin Thaler, Program Director PATRICIA J. EBERLEIN (State University of New York, Buffalo), Norm-reducing methods for al gebraic eigenproblems for parallel and micro com Grants for Scientific putation, Cornell University; JuLIA F. KNIGHT Computing Research Equipment (University of Notre Dame), Recursion theoretic problems in model theory, University of il The Division of Mathematical Sciences of the linois, Urbana-Champaign; DIANE LAMBERT National Science Foundation plans a limited {Carnegie-Mellon University), Nonparametric mix number of grants for the purchase of computing tures of logistic regression models, University equipment for research in the mathematical of Chicago; JANE CRONIN ScANLON (Rutgers sciences. University), Mathematical models of electrically These grants are for the purchase of special active cells: Problems in singularly perturbed equa purpose equipment dedicated to the support of tions, Courant Institute of Mathematical Sciences, research in the mathematical sciences. The New York University; MARIA E. ScHONBEK {Duke equipment should be necessary for the pursuit of University), Nonlinear dispersive and diffusive specific research projects, rather than intended to equations, Princeton University; NELL SEDRANSK provide general computing capacity. These grants {State University of New York, Albany), Statisti are intended for researchers of high quality and cal theory for combining experiments and implica productivity whose research has been handicapped tions for experimental design, Yale University; or limited due to lack of access to suitable and SusAN SzczEPANSKI {Lehigh University), equipment. Topology of singularities, Courant Institute of U.S. graduate-degree-granting institutions with Mathematical Sciences, New York University. departments or research programs in mathe -NSF News Release matics, applied mathematics, or statistics may submit proposals; proposals involving inter institutional or inter-departmental sharing ar rangements are welcome. The deadline for proposals is December 1, 1984. Proposals received after this date will be returned. -NSF Announcement
783 Queries Edited by Hans Samelson QUESTIONS ARE WELCOMED from AMS members regarding mathematical matters such as details of; or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. This is not intended as a problem corner, except for occasional lists of problems collected at mathematical meetings. REPLIES from readers will, when appropriate, be edited into a composite answer and published in a subsequent column. All answers received will be forwarded to the questioner. QUERIES and RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Queries a subgroup of the alternating group An (McKay). (Contributed by J.-P. Serre) 316. Joseph DiGiallonardo (16 Metcalf Avenue, 305. (vol. 31, p. 376, June 1984, A. Wilansky) With Milford, MA 01757). For the equation (E) LnY = the measure J.L induced by the outer measure J.L*, lpy (where Liy = Pi(Li-1y)', Loy = PoY, i = and the outer measure J.L+ induced by J.L, is every 1, 2, ... , n, Pi(x) > O, p(x) > 0, Pi(x) E C(n-i), and J.L+ -measurable set J.L*-measurable? Reply: (1) If p(x) E C fori= 0,1, ... ,n and x E (O,oo)) consider J.L* is induced by a measure then J.L+ = J.L* (well the eigenvalue problem (P) ~~:;- 1 A.k(Lky)(a) = known). (2) Let J.L* be arbitrary. Then if M is J.L+ 1 measurable and J.L+(M) < oo, M is J.L*-measurable 0, i = 1, 2, ... ,p, ~~:;- Bik(Lky)(b) = 0, i = (see Hahn and Rosenthal, Set functions, Univ. 1,2, ... ,q, with 0
784 the Evans-Knuth-Bendix completion procedure in REMARK. In Bergman (op. cit.) (c1 was stated T. Evans, On multiplication systems . .. , Proc. only for n = 1 (as (6.3)) because we thought this Cambridge Philos. Soc. 47 (1951), 637-649 and might be equivalent to the case of general n. The D. Knuth-P. Bendix, Simple word problems ... , condition that would have made them equivalent Computational Problems in Abstract Algebras (J. is there noted as question (6.4). W. Dicks and D. Leech, ed.), Pergamon, New York, 1970, pp. 263- Saltman have each given me examples answering 297. (Contributed by S. Bergman, D. S. Lankford, that question in the negative; hence, the strong R. H. Gilman, Anonymous) form of condition (c1 used here. 2. (Amitai Regev, Weizmann Institute). (1) Problem List Decompose n 2 = 1 + 3 + 5 + ·· · + (2n -1); then construct the following polynomial in 2 · n 2 Combinatorial Ring Theory noncommutative variables: The following problems were introduced at a p(x1, ... , Xn2, Yb · · ., Yn 2) special session on Combinatorial Ring Theory organized by Amitai Regev and held at the AMS 2: sgn(u) · sgn(77) · Xu(1)Y..,{1) meeting in Plymouth, New Hampshire, June 29- u,..,ESn• July 1, 1984. · (xu(2)' • • Xu(4))(Y..,(2)' · · Y'1(4))· · · 1. (George M. Bergman, University of Califor (xu((n-1)2+1)' · · Xu(n2))(Y..,((n-1)2+1)' · • Y..,(n•)) nia, Berkeley). From George M. Bergman, Embed (Skis the symmetric group on 1, .. .,k). ding rings in completed graded rings. I: Triangular CONJECTURE. p(x~, .. ., Xn2, Yb .. ., Yn2) is not an embeddings, J. Algebra 84 (1983), 14-24. identity for n X n matrices (over a field). (This (1) Let k be a field and D a small k-linear was checked for n = 1, 2, 3.) nontrivial category, i.e., not all spaces D(X, Y) (2) Let >.. be a partition of n, >.1--n, and let dx are 0. We seek necessary and sufficient conditions denote the number of standard tableaux of shape for the existence of a faithful functor from D into >... Let a> 1 and define fa(n) = card{>..l-n Idx ~ a commutative Tv-algebra, considered as a 1-object an}. k-linear category. Clearly, necessary conditions, for all objects X, Y, ... of D, are Prove or disprove: There exist k such that for all n, fa(n) ~ nk (i.e., fa(n) is polynomially (a) For E E (i 1, ... , ai D(X, Y), bi D(Y,X) = n), bounded). aEk, 3. (Warren Dicks, Pennsylvania State Univer L:aibi = a1x => l:biai = a1y. sity). Let k be a field, X a set, F = k(x) the free associative k-algebra. Let b E F and let (b) For ai E D(X, Y), bE D(Y, Y), Ci E D(Y, Z), S ={IE Flfb E bF}, the idealizer of b in F. Is 2: aici = 0 => 2: aibCi = 0. F free as right 8-module? This is the analogue for one-relator associative algebras of the Cohen (c) In D(Z, Z), 1z # 0. Lyndon Theorem for one-relator groups. It is Are these conditions sufficient? known that the answer is yes if b is homogeneous, REMARK. One can deduce the commutativity for example. of each algebra D(X,X) from either (a) or (b). (2) (ibid.). More generally we may ask for such Corrections to Problem List necessary and sufficient conditions on a k-linear on Partial Differential Operators category D when k is an arbitrary commutative ring. There is no hope of sufficiency unless we (vol. 31, p. 631, October 1984) strengthen (c) to the condition (clearly necessary, In Problem 4, line 4, for "p" read "po". and equivalent to (c) when k is a field): Problem 10, beginning with the word Problem, (c') For all X, Y, z~, the map .. ., Zn, should read as follows: D(X, Y)---+ D(X, Y)®kD(Z~, Zl)®k· · · ®kD(Zn, Zn) Show p(r) is nonincreasing in r E (0, oo ). Partial answers. Two are known: (1) p(r) is nonincreasing taking a to a® lz, ® · · · ® lzn is one-to-one. for sufficiently large r; (2) PTF ( = Thomas-Fermi Are (a), (b), (c') sufficient? approximation to p) is nonincreasing in r for all r > 0 provided N ~ Z.
785 AMS Election 1984 Candidates
OFFICERS Vice President (one to be elected) Linda Preiss Rothschild Shmuel Winograd Some Mathematical Questions Secretary* Everett Pitcher in Biology- Neurobiology Robert M. Miura, Editor )Lssociate Secretaries* Frank T. Birtel W. Wistar Comfort The six papers presented in this book deal with three different aspects of neurobiology-the morph (Southeast) (East) ology of nerve cells, the analysis and study of action Treasurer* Franklin P. Peterson potential phenomena, and ion movements inside and outside nerve cells. The papers are addressed to )Lssoeiate Treasurer* Steve Armentrout biologists, especially physiologists and neuroscien Member-at-large of the Council (five to be elected) tists, and mathematicians who are interested in the applications of mathematics to neurobiology. They A. T. Bharucha-Reid Carl Pomerance should also appeal to others who have general inter Daniel M. Burns, Jr. Michael C. Reed ests in seeing the interactions between mathematics Joseph B. Keller Cora S. Sadosky and experimental neurobiology. Harvey B. Keynes Audrey A. Terras The collection of papers contains experiments Neall. Koblitz David A. Vogan, Jr. and theory working together and leads to a better Board of Trustees (one to be elected) understanding of neurobiology. Most of the earlier Ramesh A. Gangolli Lee P. Neuwirth books in this series have concentrated mainly on mathematics-a few on biology. Here there is a Committee to Monitor Problems healthy mix of the two. Four of the papers were in Communication* written by experimentalists who also do mathematics. Judith D. Sally Floyd L. Williams Readers should gain an appreciation of the synergy between experiment and mathematics and a view of Publication Committees* the current state of basic research in mathematical Bulletin Calvin C. Moore neurobiology. Colloquium Raoul H. Bott These lectures were presented at the Sixteenth Mathematical Reviews Morton Lowengrub Annual Symposium on Some Mathematical Ques Mathematical Surveys M. Susan Montgomery tions in Biology at the AAAS meeting in Washing Mathematics of ton, D. C. in January 1982. It was jointly organized Computation Donald Goldfarb and sponsored by AMS, SIAM, and Section A, Proceedings Donald S. Passman Mathematics of the AAAS.
NOMIN)LTING COMMITTEE FOR 1985 CONTENTS (Preferential Ballot, four to be elected) Speakers and session chairmen Robert M. Miura, Preface Meyer Jerison Michael Shub Charles F. Stevens, Quantitative specification of W. B. Johnson Stephen G. Simpson neuron form VeraS. Pless William T. Trotter, Jr. John Rinzel, Neuronal plasticity (learning) Mary Ellen Rudin R. 0. Wells, Jr. Richard E. Plant, The analysis of models for excit able membranes: An introduction Alwyn C. Scott, Nerve pulse interactions *Uncontested offices. John A. Connor and Georgia Nikolakopoulou, Cal cium diffusion and buffering in nerve cytoplasm Charles Nicholson and Joseph M. Phillips, Diffusion in the brain cell microenvironment
1980 Mathematics Subject Classifications: 92; 34, 35, 42, 58, 76, 94 Lectures on Mathematics in the Life Sciences Volume 15, x + 122 pages {soft cover) List price $20; institutional member $16, individual member $12 ISBN 0·8218·1165·7; LC 82·18418 Publication date: November 1982 To order, please specify LLSCII1SN Shipping and handling charges: surface delivery - $2 first book, $1 each additional. maximum $25: air delivery - $5 first book. $3 each additional, maximum $100. Prepayment Is required. Order from American Mathematical Society. PO Box 1571. Annex Station, Providence. Rl 02901-1571 USA.
786 Anaheim Meetings, January 7-13, 1985 Supplement to Announcement in October Notices
Please refer to the Preliminary Announcement for and 3:30p.m. Saturday. Alberto L. Delgado, Richard this meeting which appears on pages 651-680 of Foote, J. Lepowski, George Lusztig, Richard Lyons, the October 1984 issue of the Notices. The Table Geoffrey Mason, Gary M. Seitz, Stephen D. Smith, of Contents for the preliminary announcement is Ronald Solomon, and John H. Walter. reproduced below for convenience. Asymptotic properties of hyperbolic groups, JAMES W. CANNON, University of Wisconsin, AMS Invited Address Madison, 8:00a.m. Wednesday and Thursday. Max L. Benson, James W. Cannon, William J. Floyd, N. The title of the invited address to be given by Smythe, D. Sullivan, and K. Tatsuoka. RuTH M. CHARNEY has been changed to Some Teichmuller theory for surfaces, graphs and new approaches to moduli spaces. hyperbolic manifolds, RuTH M. CHARNEY, Ohio State University, 8:00 a.m. Thursday and 1:00 p.m. Friday. Henry Glover, Lisa R. Goldberg, William M. AMS Speeial Sessions Goldman, Steve Kirkhoff, Ronnie Lee, John Millson, Updated lists of speakers are now available for and Karen Vogtmann. some of the Special Sessions. Algebraic deformation theory, MURRAY Finite group theory, MICHAEL AscHBACHER, GERSTENHABER, University of Pennsylvania, 3:30 California Institute of Technology, 2:15 p.m. Friday p.m. Wednesday and 8:00 a.m. Thursday. W. Ar venson, Murray Gerstenhaber, Alexander Lubotzky, Andy Magid, Joyce O'Halloran, Richard Rochberg, WHERE TO FIND IT PAGE S.D. Shack, James Stasheff, and C. Wilkerson. PREREGISTRATION AND HOUSING 652, 653 DoRIAN GoLDFELD, ANNUAL MEETING OF THE AMS 651 Analytic number theory, Gibbs Lecture, Colloquium Lectures, Prizes, Harvard University, 2:15 p.m. Wednesday, 8:00a.m. Invited Addresses, Special Sessions, Contributed Thursday, and 1:00 p.m. Friday. Krishnaswami Papers, Other Sessions, Council and Alladi, Enrico Bombieri, Boris Datskovsky, Leon Business Meetings Ehrenpreis, G. Freiman, Solomon Friedberg, Patrick AMS SHORT COURSE 655 Gallagher, Dorian Goldfeld, D. A. Goldston, Mait EMPLOYMENT REGISTER 677 Ghosh, H. Halberstam, Jeffrey Hoffstein, Henryk ANNUAL MEETING OF THE MAA 656 Invited Addresses, Minicourses, Iwaniec, Gerald Myerson, Andrew Odlyzko, Ilya Contributed Papers, Other Sessions, Piatetski-Shapiro, Ralph Phillips, Peter Sarnak, H. Business Meeting, Board of Governors, M. Stark, Audrey Terras, Jeffrey D. Vaaler, and Section Officers David Wright. OTHER ORGANIZATIONS 660 Ordinary differential equations, WILLIAM A. AAAS,ASL,A~,MPS,NAM,NSF,RMMC TIMETABLE 663 HARRIS, JR., University of Southern California; and OTHER EVENTS OF INTEREST 661 GEORGE R. SELL, University of Minnesota, 8:00 Book Sales, Exhibits, Information Table, a.m. and 2:15 p.m. Wednesday, and 8:00 a.m. and MATHFILE, Meeting of Department Chairmen, 7:30p.m. Thursday. Werner Balser, Hyman Bass, C. Petition Table C. Conley, Jack K. Hale, R. A. Johnson, D. A. Lutz, ACCOMMODATIONS 664 Hotels J. J. Mallet-Paret, Lawrence Markus, K. R. Meyer, REGISTRATION DESK 668 Y. Sibuya, and Barry Simon. Fees, Dates, Times, Locations, Services Infinite dimensional topology, JAMES P. HEN MISCELLANEOUS INFORMATION 672 DERSON, Texas A & M University; and DENNIS Child Care, Disneyland, Local Information, J. GARITY, Oregon State University, 7:30 p.m. Parking, Social Event, Travel, Weather Thursday, 3:30p.m. Friday, and 1:00 p.m. Saturday. MAP 662 F. D. Ancel, R. D. Anderson, Mladen Bestvina, Phil IMPORTANT DEADLINES lip L. Bowers, Doug Curtis, Jan Dijkstra, Tadeusz AMS Ablltraet1, Dobrowolski, Terry L. Lay, J. Mogilski, Leonard For conaideration for 1peeial aealliona Expired R. Rubin, R. M. Schori, Frederick C. Tinsley, H. or contributed papen Expired Torunczyk, J. J. Walsh, and David Wright. MAA Ablltraeta, Celestial mechanics, NEAL D. HULKOWER, Jet or contributed papen November 15 Employment Regi1ter Propulsion Laboratory, 1:00 p.m. Saturday and (Applieant1& Employen) November 15 9:00 a.m. Sunday. Edward A. Belbruno, Roger EARLY Preregilltration and Houlling Expired Broucke, John G. Bryant, Robert L. Devaney, Robert Preregilltration and Houlling November 15 W. Easton, Joseph L. Gerver, Martin P. Kummer, Motion. for AMS Bulline11 Meeting December 10 Ernesto Lacomba, K. R. Meyer, Richard Moeckel, Preregilltration eaneellation1 (50% refund) January 4 Duee credit for nonmembenfetudentl Febl"Wil')' 13 Filomena Pacella, Julian I. Palmore III, Dieter Schmidt, and John Urenko.
787 Nonstrictly hyperbolic conservation laws, BAR Other MAA Sessions BARA L. KEYFITZ, University of Houston, Univer sity Park, 8:00 a.m. and 2:15 p.m. Wednesday The Panel on Remediation will sponsor a Panel and 8:00 a.m. Thursday. J. Goodman, Eduard Discussion on Is there an alternative to remedia Harabetian, Harumi Hattori, E. Isaacson, Daniel D. tion? on Saturday, January 12, at 7:00 p.m. The Joseph, Barbara Lee Keyfitz, Herbert C. Kranzer, R. moderator is DONALD W. BusHAW, Washington LeVeque, Brent Lindquist, D. Marchesin, Ben-Artzi State University. Matania, Stanley Osher, R. Saxton, Michael Shearer, M. Slemrod, B. Temple, and Cheng Chin-Wu. Activities of Other Organizations Stochastic differential geometry, MARK A. PINSKY, Northwestern University, 8:00 a.m. Wed The Rocky Mountain Mathematics Consortium nesday and 10:15 a.m. Thursday. R. Chacon, I. (RMMC) Board of Directors will meet on Thursday, Chavel, R. W. R. Darling, Jozef Dodziuk, Richard January 10, from 2:00 p.m. to 4:00 p.m. Durrett, Gerard G. Emch, Samuel Goldberg, Leon Karp, Peter March, M. Ann Piech, Dennis Sullivan, Other Events of Interest and Daniel Stroock. Algebraic combinatorics, RICHARD P. STAN Special Session for Mathematics LEY, Massachusetts Institute of Technology, 1:00 Department Chairmen p.m. Friday, 3:30 p.m. Saturday, and 9:00 a.m. Sunday. Louis J. Billera, Anders Bjorner, Paul The Joint Policy Board for Mathematics, AMS, H. Edelman, Adriano Garsia, Ira M. Gessel, Curtis MAA, and the Society for Industrial and Applied a Special Session for Math Greene, Mark Haiman, Phil Hanlon, Jeff Kahn, Gil Mathematics, will sponsor Chairmen on Friday, January Kalai, Robert A. Proctor, David P. Robbins, Gian ematics Department Carlo Rota, Bruce Sagan, Richard P. Stanley, Dennis 11 at 7:30 p.m. The Special Session is being Department Chairmen Stanton, Michelle Wachs, Jim Walker, Dennis White, arranged for all Mathematics Dale R. Worley, and Thomas Zaslavsky. on topics requested by them through a national survey. The session will be keynoted by LESTER Differential geometry, KAREN K. UHLENBECK, H. LANGE, Dean of the College of Science at San University of Chicago; PETER LI, Purdue University; Jose State University, who will speak on relations and WILLIAM H. MEEKS, ill, Rice University; 1:00 between Chairmen, Deans, and Presidents. The p.m. and 3:30 p.m. Friday, 1:00 p.m. Saturday, session will split into two parallel sessions from which and 9:00 a.m. Sunday. Stephanie Alexander, Tom Department Chairmen can choose one. Branson, Robert Brooks, Shiu-Yuen Cheng, Hyeong In Choi, Christopher Croke, Doris Fischer-Colbrie, Session A: How to Build a Successful Research Gregory J. Galloway, Robert Greene, Joel Hass, Program David A. Hoffman, Qi-Keng Lu, Robert C. Reilly, Session B: How to Manage a Computer Science Steven Rosenberg, Ernst A. Ruh, Luen-Fai Tam, Program in a Mathematics Department Chuu-Lian Terng, Walter Wei, B. Wong, and Stephen This was announced in the October Notices as the S. T. Yau. National Meeting of Department Chairs. The Preregistration/Housing Form, Employment Other AMS Sessions Register Applicant Resume Form, Employer Form, and instructions to complete the resume form can MathSei (formerly MATHFILE) be found at the back of this issue. MATHFll..E is expanding its subject and time coverage and adding new subfiles. The database has been renamed MATHSCI to indicate its broader scope. A presentation of the new features and additions in MATHSCI will be held on Friday, January 11 at 4:45 p.m.
788 Amendments to the Bylaws at the Business Meeting of 10 January 1985 in Anaheim There are three amendments to consider. In the first, it is recommended by the Council that the name Mathematical Surveys be changed to Mathematical Surveys and Monographs. This corresponds to a modest redirection of the nature of the series. The change occurs in two places in the bylaws, to wit, in the name of the publication committee in Article m, Section 2, and in the name of the publication in Article IX, Section 1. The second amendment concerns the Executive Committee, which consists of four members elected from the Council by the Council and three members ex officiis. The term of office is prescribed in Article vn, Section 1 where it is stated that "[t]he term of office for elected members of the executive committee shall be two years, two of the elected members retiring annually." The Council recommends that the term be changed to four years, with one elected member retiring annually. The proposed change embodies the view of the executive committee and of the board of trustees (with whom the executive committee frequently meets jointly) that the turnover in the executive committee has been too rapid for its members to gather experience and for the Society to profit from that experience. The third amendment is under consideration at the time of writing of this notice to the membership. It is written as though approved by the Council but will be presented to the business meeting only if that approval is forthcoming. The reason for this accelerated process is the wish to make the proposed change effective in 1985. The format of Article IX on Dues and Privileges of Membership is that classes of membership are handled in consecutive pairs of Sections, one on dues and the next on privileges. There is a break in format in that Section 4 sets dues of institutional members, Section 5 sets dues of corporate members, and Section 6 sets privileges of both by the same formula. It develops that the figure of $1,000 for minimum dues of corporate members set in Section 5 is too low and that the formula for their privileges in Section 6 does not correspond to their needs. The proposed change is to follow the format of the rest of the article without affecting privileges of institutional membership but to alter the rules concerning corporate membership. The new Section 5 is to consist of the old Section 6 with the bracketed words deleted, so that the new Section 5 is as follows: Section 5. The privileges of [a corporate or] an institutional member shall depend on its dues in a manner to be determined by the Council, subject to approval by the Board of Trustees. These privileges shall be in terms of Society publications to be received by the institution and of the number of persons it may nominate for ordinary membership in the Society. The new Section 6 shall replace the old Section 5 in its entirety by the following: Section 6. Dues and privileges of corporate members of the Society shall be established by the Council subject to approval by the Board of Trustees. Everett Pitcher Secretary
789 Chicago, March 22-23, 1985, University of Illinois First Announcement of the 817th meeting
The eight hundred and seventeenth meeting of the Kunen, Jeffery S. Leon, Angus Macintyre, Glenn K. American Mathematical Society will be held at the Manacher, Vera Pless, Franco Preparata, and Georg University of Illinois, Chicago, Illinois, on Friday and Schnitger. Saturday, March 22 and 23, 1985. All sessions will be Semi-martingales and stochastic analysis, held in the Lecture Center on the University campus. PHILIP PROTTER, Purdue University. The tentative speakers include K. Bichteler, D. Burkholder, E. Invited Address Cinlar, J. Mitro, P. Protter, and T. Salisbury. By invitation of the Committee to Select Hour Borel structures and classical measure theory, Speakers for Central Sectional Meetings, there will be K. P. S. BHASKARA RAo and RAE MICHAEL four invited one-hour addresses. The speakers, their SHORT, Michigan Technological University. The affiliations, the titles of their talks, and the scheduled tentative speakers include T. Armstrong, Jack Brown, times of presentation are as follows: R. B. Darst, N. Dinculeanu, Gerald A. Edgar, Thomas GRAHAM HIGMAN, University of Oxford, Jech, Roy A. Johnson, R. Daniel Mauldin, Arnold England, and the University of Illinois, Urbana Miller, John C. Morgan II, V. S. Pasad, Karel Prikry, Champaign, Inflexions in characteristic 9, 11:00 D. Ramachandran, Cesar Silva, Arthur H. Stone, and a.m. Saturday. Dorothy Stone. MICHAEL MARCUS, Texas A & M University, Groups and geometries, MARK A. RoNAN and D. College Station, Random Fourier series, 1:30 p.m. STEPHEN SMITH, University of Illinois, Chicago. Friday. The te.ntative speakers include M. Aschbacher, J. Hall, R. Liebler, G. Mason, S. Rees, and E. Shult. J. MARSHALL OSBORN, University of Wisconsin, Most of the papers to be presented at these special Madison, What are nonassociative algebras?, 1:30 sessions will be by invitation. However, anyone p.m. Saturday. submitting an abstract for the meeting who feels that RoGER PENROSE, University of Oxford, England, his or her paper would be particularly appropriate and Rice University, Title to be announced, 11:00 for one of these special sessions should indicate a.m. Friday. this clearly on the abstract form and submit it by January 2, 1985, three weeks before the deadline for Special Sessions contributed papers, in order that it may be considered By invitation of the same committee, there will for inclusion. All abstracts must be accompanied by be eight special sessions of selected twenty-minute payment of $15 to cover a portion of the processing papers. The topics of these special sessions, the costs. Participants are reminded that a charge of $12 names and affiliations of the organizers, and partial is also imposed for retyping abstracts that are not in lists of speakers, are as follows: camera-ready form. Plethysms, JosEPH BRENNAN, Michigan State University, The tentative speakers include Peter Contributed Papers Hoffman, J. Patera, R. C. Read, Frank J. Servedio, There will also be sessions for contributed ten and Hiroshi Uehara. minute papers. Abstracts should be prepared Periodic and almost periodic solutions of on the standard AMS form available from the differential equations, T. A. BURTON, Southern Il AMS office in Providence or in Departments of linois University, Carbondale. The tentative speakers Mathematics. Abstracts should be sent to the include Stephen Bernfeld, C. Corduneanu, John American Mathematical Society, P. 0. Box 6248, Graef, Louis Grimm, John Haddock, Carl E. Lan Providence, RI 02940, so as to arrive before the genhop, Warren S. Loud, W. Mahfoud, Stephen J. January 23, 1985, abstract deadline. All abstracts Merrill, Allan Peterson, Jane Cronin Scanlon, George must be accompanied by payment of the $15 Seifert, Alfredo Somolinos, and Lian Wang. processing charge. Participants are reminded that a History of logic, THOMAS L. DRUCKER, Univer charge of $12 is also imposed for retyping abstracts sity of Wisconsin Extension, Madison. that are not in camera-ready form. K-theory, HENRI GILLET, University of Illinois, Registration and Local Information Chicago. The tentative speakers include W. Dwyer, D. Grayson, J. Jardine, M. Stein, R. Thomason, and Information concerning registration, travel, food C. Weibel. services, and accommodations will be included in the Mathematical computer science, WoLFGANG January issue of the Notices. MAAss, University of Illinois, Chicago. The tentative speakers include Eric Bach, Joel Berman, Andreas Robert M. Fossum R. Blass, Allan Borodin, John W. Case, Harvey Urbana, Illinois Associate Secretary Friedman, Merrick L. Furst, Yuri Gurevich, Kenneth
790 Tucson, April 12-13, 1985, University of Arizona First Announcement of the 818th meeting
The eight hundred eighteenth meeting of the Providence or in Departments of Mathematics. They American Mathematical Society will be held at should be sent to the Editorial Department, American the University of Arizona, Tucson, on Friday and Mathematical Society, P. 0. Box 6248, Providence, Saturday, April 12 and 13, 1985. This meeting RI 02940, so as to arrive prior to the January 25, will be held in conjunction with meetings of 1985, abstract deadline. These abstracts must also the Mathematical Association of America and the be accompanied by payment of the $15 processing Sociedad Matematica Mexicana. charge. Participants are reminded that a charge of that are not Invited Addresses $12 is also imposed for retyping abstracts in camera-ready form. Late papers will be accepted By invitation of the Committee to Select Hour for presentation at the meeting, but will not appear Speakers for Far Western Sectional Meetings, there in the printed program. will be two invited one-hour addresses. The speakers are: MAAProgram GEORGE M. BERGMAN, University of California, The MAA Program will include two invited Berkeley, title to be announced. speakers. IvAN NIVEN of the University of Oregon GREGORY BRUMFIEL, Stanford University, will deliver an address titled Some observations on Modern real algebra. mathematics and mathematicians. CoNSTANCE REID, San Francisco, will also deliver an address; Special Sessions the title is not yet available. A panel discussion on By invitation of the same committee, there will be The history of the mathematical relations between four special sessions of selected twenty-minute papers. Mexico and the United States will also take place, The topics of these special sessions and names of the and a banquet will be held on Friday evening. organizers are as follows: Registration Abelian group theory, Ross BEAUMONT, Univer The meeting registration desk will be located in sity of Washington. the main lobby of the Mathematics Building, and The arithmetic of algebraic function fields of will be open from 1:00 p.m. to 4:30 p.m. on Friday, one variable, DANIEL J. MADDEN, University of and from 8:30 a.m. until noon on Saturday. The Arizona. registration fees are $6 for members of the AMS or Galois module structure of algebraic number MAA, $8 for nonmembers, and $2 for students or fields, ALBRECHT FROHLICH, King's College, unemployed mathematicians. University of London, England, and the University of Arizona. Petition Table New ideas in nonlinear science, ALAN C. A petition table will be set up in the registration NEWELL, University of Arizona. area. Additional information about the petition table Most of the papers to be presented at these special can be found in the Anaheim meeting announcement sessions will be by invitation. However, anyone in the October issue of the Notices. submitting an abstract for the meeting who feels that Accommodations his or her paper would be particularly appropriate The following motels are located five miles or less for one of these sessions should indicate this clearly from the campus. Participants should make their on the abstract form and submit it by January 4, own reservations directly with the motel of their 1985, three weeks before the deadline for contributed choice. Rates are subject to possible change, and do papers, in order that it may be considered for not include any applicable local taxes. inclusion. Abstracts should be prepared on the Arizona Inn (One mile from campus) standard AMS form available from the AMS office in Providence or in Departments of Mathematics. 2200 East Elm Street Telephone: 602-325-1541 Abstracts should be sent to the Editorial Department, American Mathematical Society, P. 0. Box 6248, Toll free in Arizona: 800-421-1093 Providence, RI 02940. Each abstract must be Single $75 and up Double $80 and up accompanied by payment of $15 to cover a portion of Limousine fare from the airport to hotel is $5 per the processing costs. Participants are reminded that person. a charge of $12 is also imposed for retyping abstracts Motel 6 (Five miles from campus) that are not in camera-ready form. 960 South Freeway Contributed Papers Telephone: 602-624-6345 There will also be sessions for contributed ten Single $16.95 Double $20.95 minute papers. Abstracts should be prepared on the Limousine fare from the airport to motel is standard AMS form available from the AMS office in approximately $5.25 per person.
791 Santa Rita Hotel and Conference Center Western 6 (Five miles from campus) (Two miles from campus) 1338 West Grant Road 88 East Broadway Telephone: 602-622-4784 Telephone: 602-791-7581 or toll free 800-528-3444 Single $21.95 Double $25.95 Toll free in Arizona: 800-362-3470 Limousine fare from airport to motel is $6.25 per Single $34 Double $38 person. Limousine service also available between Complimentary limousine service from airport to the motel and campus. hotel. Limousine service also provided between hotel Food Service and Travel and campus; the fare is $1.50 per person. A welcome reception with complimentary margarita cocktails Information about food service, parking, and travel and dry snacks will be provided for hotel guests at will be published in the January issue of the Notices. poolside from 8:30 to 9:30 p.m. on Thursday, April Hugo Rossi 11. Salt Lake City, Utah Associate Secretary
Structure of Factors and Automorphism Groups Masamichi Takesaki Contents CBMS REGIONAL CONFERENCE SERIES, NUMBER 51 I. Noncommutative Integration (Supported by the National Science Foundation) II. General Theory of Crossed Products and Duality This book describes the recent development in Ill. Structure of Factors of Type Ill the structure theory of von Neumann algebras and IV. Cannes' Theory of Injective Factors and Auto their automorphism groups. It gives a quick survey morphisms of the Tomita-Takesaki theory needed for the latter 1980 Mathematics Subject Classification: 46L10 use, then moves on to the duality theory for crossed CBMS Regional Conference Series in Mathematics products and automorphism groups, which is applied Number 51, iv + 107 pages (soft cover) List price $18, individuals $11 to the structure theory of factors of type Iff. The last ISBN 0-8218-0701·3; LC 83-6435 part is devoted to Cannes' theory of injective factors. Publication date: June 1983 The book can be viewed as a guided tour to the state To order, please specify CBMS/51 N of the art. Shipping/Handling: 1st book $2, each add'l $1, max. $25; by air, 1st book $5, each add'l $3, max. $100 Prepayment is required. Order from American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-556-7774 to charge with Visa or MasterCard.
Iterated Integrals and Homotopy Periods Richard M. Hain Of the various approaches to de Rham homotopy the topological interpretation of the Lie algebra theory, perhaps the least known and the one best model and a rational version of Chen's theory for suited to geometric applications is Kuo-Tsai Chen's simplicial sets. iterated integrals and formal power series connections. In this memoir an expanded account of Chen's meth 1980 Mathematics Subject Classifications: 55P62; 57T30 ods for simply connected spaces is presented. It be Memoirs of the AMS gins with a leisurely introduction to the method of Number 291, iv + 100 pages (soft cover) power series connections. The author then proceeds List price $10, institutional member $8, individual member $6 to establish new results necessary for geometric ap ISBN 0-8218-2291-8; LC 83-22416 plications such as the uniqueness of Chen's Lie alge Publication date: january 1984 bra model of a space and its behavior under maps, To order, please specify MEM0/291 N Shipping/Handling: 1st book $2, each add'l $1, max. $25; by air, 1st book $5, each add'l $3, max. $100 Prepayment is required. Order from American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-556-7774 to charge with Visa or MasterCard.
792 Worcester, April 20-21, 1985, College of the Holy Cross First announcement of the 819th meeting
The eight hundred and nineteenth meeting of Most of the papers to be presented at these the American Mathematical Society will be held special sessions will be by invitation. However, at the College of the Holy Cross in Worcester, anyone submitting an abstract for the meeting who Massachusetts, on Saturday and Sunday, April 20 feels that his or her paper would be particularly and 21, 1985. All scientific sessions will be held appropriate for one of these special sessions should in Haberlin Hall in the science and mathematics indicate this clearly on the abstract form and submit complex at the College. it by January 7, 1985, three weeks before the deadline for contributed papers, in order that it may Invited Addresses be considered for inclusion. Abstracts should be By invitation of the Committee to Select Hour prepared on the standard AMS form available from Speakers for Central Sectional Meetings, there will be the AMS office in Providence or in Departments four invited one-hour addresses. The speakers, their of Mathematics. Abstracts should be sent to affiliations, the titles of their talks, and the scheduled the Editorial Department, American Mathematical times of presentation are as follows: Society, P. 0. Box 6248, Providence, RI 02940. Each WILLIAM ABIKOFF, University of Connecticut, abstract must be accompanied by payment of $15 to Storrs, Kleinian groups-an invitation to mathe cover a portion of the processing costs. Participants matics, 1:30 p.m. Saturday. are reminded that a charge of $12 is also imposed IRA M. GESSEL, Brandeis University, Recent for retyping abstracts that are not in camera-ready work in enumerative combinatorics, 11:00 a.m. form. Sunday. Contributed Papers ROBERT W. THOMASON, Johns Hopkins Univer sity Algebraic and topological K-theory, 1:30 p.m. There will also be sessions for contributed ten Sunday. minute papers. Abstracts should be prepared on the STEPHEN S.-T. YAu, University of Illinois at standard AMS form available from the AMS office Chicago and Yale University, Isolated singularities in Providence or in Departments of Mathematics. and finite dimensional solvable Lie algebras, 11:00 Abstracts should be sent to the Editorial Department, a.m. Saturday. American Mathematical Society, P. 0. Box 6248, Providence, RI 02940, so as to arrive before the Special Sessions January 28, 1985, abstract deadline. These abstracts must also be accompanied by payment of the $15 By invitation of the same committee, there will be processing charge. Participants are reminded that a six special sessions of selected twenty-minute papers. charge of $12 is also imposed for retyping abstracts The topics of these special sessions, the names and that are not in camera-ready form. affiliations of the organizers, and some partial lists of It appears unlikely that late papers can be tentative speakers, are as follows: accommodated. Geometric function theory, WILLIAM ABIKOFF and IRWIN KRA, SUNY at Stony Brook. The Registration tentative speakers include William Abikoff, Lipman Bers, Clifford Earle, Fred Gardiner, Fred Gehring, The registration desk will also be located in Jane Gilman, Linda Keen, Irwin Kra, and Bernard Haberlin Hall, and will be open from 8:15 a.m. Maskit. until 1:45 p.m. on both Saturday and Sunday. Differential geometry of submanifolds, THOMAS The registration fees are $10 for members, $16 for E. CECIL, College of the Holy Cross and STEPHEN nonmembers, and $5 for students or unemployed S.-T. YAu. mathematicians. Singularities and complete geometry, THOMAS Petition Table E. CECIL and STEPHEN S.-T. YAu. Enumerative combinatorics, IRA M. GESSEL. A petition table will be set up in the registration Fractal geometry, BENOIT B. MANDELBROT, area. Additional information about the petition table IBM T. J. Watson Research Center and Harvard can be found in the Anaheim meeting announcement University. The tentative list of speakers includes M. in the October issue of the Notices. Barnsley, R. L. Dezaney, A. Douady, J. Hubbard, C. Itzykson, Benoit Mandelbrot, David Mumford, M. Accommodations Taqqu, S. J. Taylor, and C. Tricot. Rooms have been blocked at the Howard Johnson's Methods of K-theory, RoBERT W. THOMASON. Motor Lodge adjacent to the campus, and at the The tentative speakers include T. Fischer, H. Gillet, Quality Inn which is about a mile from the campus H. Hiller, D. Ramakrishnan, K. Vogtmann, and C. in downtown Worcester. Participants should .make Weibel. their own reservations directly with the motel of
793 their choice and identify themselves as attending the Food Service meeting of the American Mathematical Society at A variety of options will be available for luncheon the College of the Holy Cross. The cutoff date for in Hogan Center on Saturday and Sunday. A special reservations at these two locations is February 15, section in the Center will be designated as the dining 1985. The rates listed below are subject to change area for meeting participants, where meal service and do not include applicable taxes. is cafeteria-style. Those who prefer to do so may Howard Johnson's Motor Lodge wish to eat at Kimball Hall instead. Information 800 Southbridge Street about various restaurants in the Worcester area will Worcester, MA 01610 be available at the meeting registration desk. Telephone: 617-791-5501 Single $41 Double $51 Social Event Quality Inn The Local Arrangements Committee, Thomas E. 70 Southbridge Street Cecil and Leonard Sulski (chairman), is planning a Worcester, MA 01610 beer and pizza party at the Hogan Center on Saturday Telephone: 617-791-2291 evening. Although tickets may be purchased at the Single $42 Double $48 door, the Committee requests that those who can conveniently do so should purchase their tickets in The following motels are located between two and advance at the meeting registration desk. five miles from campus. Although rooms have not been blocked at any of these locations, they are Travel included here for information purposes. miles Best Western Centrum Inn The Worcester Airport is located about five from the Holy Cross campus. Airline service to 110 Summer Street Worcester, MA 01610 Worcester is provided by Bar Harbor Airlines, with flights from Logan Airport in Boston and Laguardia Telephone: 617-757-0400 Airport in New York. Tri State Airlines also provides Single $45 Double $51 service from Newark Airport, however, service on Days Lodge of Worcester both of these carriers is very limited or nonexistent 50 Oriol Drive on Saturday and Sunday. Participants who fly to Worcester, MA 01610 Logan Airport should make use of the Worcester Telephone: 617-852-2800 Limousine Service, which will transport passengers Single $42.88 Double $47.88 directly to the campus or elsewhere in Worcester. Howard Johnson's Motor Lodge The cost is $17 one way, but reduced rates usually apply when two or more passengers are transported to West Boylston Street West Boylston, MA 01583 the same destination in Worcester. Reservations are necessary and may be obtained by calling 617-756- Telephone: 617-835-4456 4834; at the same time information will be provided Single $47 Double $54 concerning passenger pickup at Logan. Sheraton-Lincoln Inn Worcester is also served by both Greyhound and 500 Lincoln Street Trailways bus lines. The bus station is about one Worcester, MA 01610 mile from the campus. Taxicab service is available Telephone: 617-852-4000 from the bus station, and the cost for transportation Single $67-$73 Double $76-$81 to the campus is approximately $3. Worcester Marriott Participants driving to the meeting should use 10 Lincoln Square Auburn Exit No. 10 from the Massachusetts Turnpike, Worcester, MA 01610 then take Route 290 East to Worcester. The College Telephone: 617-791-1600 Square Exit from Route 290 is a block from the campus. Single $77 Double $89 Yankee Budget Motor Lodge Parking 531 Lincoln Street Worcester, MA 01610 Free parking is available at several lots located on the Holy Cross campus. Telephone: 617-852-5800 Single $26.96 Double $30.94 W. Wistar Comfort Yankee Drummer Inn Middletown, Connecticut Associate Secretary 624 Southbridge Street Auburn, MA 01501 Telephone: 617-832-3221 Single $49.90 Double $52.90
794 Mobile, May 3-4, 1985, University of South Alabama First Announcement of the 820th meeting
The eight hundred twentieth meeting of the Most of the papers to be presented at these special American Mathematical Society will be held at the sessions will be by invitation. However, anyone University of South Alabama in Mobile, Alabama, on submitting an abstract for the meeting who feels that Friday and Saturday, May 3 and 4, 1985. Sessions his or her paper would be particularly appropriate will be held at the Brookley Center, which also has for one of these sessions should indicate this clearly guest rooms. on the abstract form and submit it by January 9, 1985, three weeks before the deadline for contributed Invited Addresses papers, in order that it may be considered for By invitation of the Committee to Select Hour inclusion. Abstracts should be prepared on the Speakers for Southeastern Sectional meetings, there standard AMS form available from the AMS office will be four invited one-hour addresses. The speakers, in Providence or in Departments of Mathematics. their affiliations, and the general areas of their talks Abstracts should be sent to the Editorial Department, (not the titles) are as follows: American Mathematical Society, P. 0. Box 6248, Providence, RI 02940. Each abstract must be FRED CoHEN, University of Kentucky, Topology. accompanied by payment of $15 to cover a portion of DENNIS DETURCK, University of Pennsylvania, the processing costs. Participants are reminded that Geometry and partial differential equations. a charge of $12 is also imposed for retyping abstracts JOHN GILBERT, University of Texas, Austin, that are not in camera-ready form. Analysis on homogeneous spaces. JEFFERY LAG ARIAS, AT & T Bell Laboratories, Contributed Papers Number theory and cryptography. There will also be sessions for contributed ten Complete titles will be announced in the January minute papers. Abstracts should be prepared on the issue of the Notices. standard AMS form available from the AMS office in Providence or in Departments of Mathematics. Special Sessions Abstracts should be sent to the Editorial Department, By invitation of the same committee, there will be American Mathematical Society, P. 0. Box 6248, six special sessions of selected twenty-minute papers. Providence, RI 02940, so as to arrive before the The topics of these special sessions and names of the January 30, 1985, abstract deadline. These abstracts organizers are as follows: must also be accompanied by payment of the $15 Discrete mathematics, ToM BRYLAWSKI, processing charge. Participants are reminded that a University of North Carolina, Chapel Hill. charge of $12 is also imposed for retyping abstracts Classical homotopy theory and loop spaces, that are not in camera-ready form. FRED COHEN. Registration and Local Information Nonlinear problems in geometry, DENNIS DE TURCK, Information concerning registration, travel, food Analysis on homogeneous spaces, RAYMOND services, and accommodations will be included in the KUNZE, University of Georgia, Athens. January issue of the Notices. Number theory and its applications, JEFFERY LAG ARIAS. Frank T. Birtel New Orleans, Louisiana Associate Secretary Ergodic theory and dynamical systems, SusAN WILLIAMS, University of South Alabama, and BRUCE KITCHENS, IBM T. J. Watson Research Center.
795 Invited Speakers Neal D. Hulkower, Celestial mechanics Barbara L. Keyfitz, Nonstrictly hyperbolic conserva- and Special Sessions tion laws Mark A. Pinsky, Stochastic differential geometry Invited Speakers at AMS Meetings Richard P. Stanley, Algebraic combinatorics The individuals listed below have accepted invitations Karen K. Uhlenbeck, Peter Li, and William H. to address the Society at the times and places indicated. Meeks ill, Differential geometry For some meetings, the list of speakers is incomplete. March 1985 Meeting in Chicago Anaheim, January 1985 Central Section Charney William M. Kantor Ruth M. Deadline for organizers: Expired de Branges William H. Meeks ill Louis Deadline for consideration: January 2 Ron Donagi Michael 0. Rabin Lawrence Craig Evans (Gibbs Lecturer) Joseph Brennan, Plethysms Dorian Goldfeld Laurence C. Siebenmann T. A. Burton, Periodic and almost periodic solutions Daniel Gorenstein W. Hugh Woodin of differential equations (Colloquium Lecturer) Thomas L. Drucker, History of logic Chicago, March 1985 Henri Gillet, K-theory Michael Marcus Roger Penrose Wolfgang Maass, Mathematical computer science J. Marshall Osborn Philip Protter, Semimartingales and stochastic Tucson, April1985 analysis K.P.S. Bhaskara Rao and Rae Michael Short, Borel George M. Bergman Gregory Brumfiel structures and classical measure theory Worcester, April1985 Mark A. Ronan and Stephen D. Smith, Groups and William Abikoff Robert W. Thomason geometries Ira M. Gessel Stephen S.-T. Yau April1985 Meeting in Tucson Mobile, May 1985 Far Western Section Fred Cohen John Gilbert Deadline for organizers: Expired Dennis deTurck Jeffery Lagarias Deadline for consideration: January 4 Laramie, August 1985 Ross Beaumont, Abelian group theory Daniel J. Madden, The arithmetic of algebraic function Stuart S. Antman Ronald J. Stern fields of one variable Richard E. Block Karen K. Uhlenbeck Robert L. Bryant (Colloquium Lecturer) Albrecht Frohlich, Galois module structure of algebraic David B. MacQueen Lai-Sang Young number fields David E. Rohrlich Alan C. Newell, New ideas in nonlinear science Columbia, November 1985 April1985 Meeting in Worcester Eric Friedlander M. Talagrand Eastern Section Carlos Kenig Deadline for organizers: Expired Organizers and Topics Deadline for consideration: January 7 William Abikoff and Irwin Kra, Geometric function of Special Sessions theory The list below contains all the information about Special Thomas E. Cecil and Stephen S.-T. Yau, Differential Sessions at meetings of the Society available at the time geometry of submanifolds this issue of the Notices went to the printer. The section Thomas E. Cecil and Stephen S.-T. Yau, Sin- below entitled Information for Organisers describes the gularities and complex geometry timetable for announcing the existence of Special Sessions. Ira M. Gessel, Enumerative combinatorics January 1985 Meeting in Anaheim Benoit B. Mandelbrot, Fractal geometry Associate Secretary: Hugo Rossi Robert W. Thomason, Methods of K-theory Deadline for organizers: Expired Deadline for consideration: Expired May 1985 Meeting in Mobile Michael Aschbacher, Finite group theory Southeastern Section James W. Cannon, Asymptotic properties of hyperbolic Deadline for organizers: Expired groups Deadline for consideration: January 9 Ruth M. Charney, Teichmuller theory for surfaces, Tom Brylawski, Discrete mathematics graphs and hyperbolic manifolds Fred Cohen, Classical homotopy theory and loop spaces Murray Gerstenhaber, Algebraic deformation theory Dennis deTurck, Nonlinear problems in geometry Dorian Goldfeld, Analytic number theory William A. Harris, Jr. and George R. Sell, Ordinary Raymond Kunze, Analysis on homogeneous spaces differential equations Jeffery Lagarias, Number theory and its applications James P. Henderson and Dennis J. Garity, Infinite Susan Williams and Bruce Kitchens, Ergodic theory dimensional topology and dynamical systems
796 August 1985 Meeting in Laramie Sessions at sectional meetings: no Special Session may be approved too late for its announcement to appear in time Associate Secretary: Robert M. Fossum to allow a reasonable interval for members to prepare and Deadline for organizers: February 15, 1985 submit their abstracts prior to the special early deadline Deadline for consideration: To be announced set for consideration of papers for Special Sessions. reserves the right of first refusal for Fall 1985 Meeting in Amherst The Society the publication of proceedings of any special session. Eastern Section These proceedings appear in the book series Contemporary Deadline for organizers: April15, 1985 Mathematics. Deadline for consideration: To be announced Fall 1985 Meeting in Columbia Infonnation for Speakers Central Section A great many of the papers presented in Special Sessions Deadline for organizers: April15, 1985 at meetings of the Society are invited papers, but any member of the Society who wishes to do so may submit Deadline for consideration: To be announced an abstract for consideration for presentation in a Special Fall1985 Meeting Session, provided it is received in Providence prior to the Far Western Section the special early deadline announced above and in announcements of the meeting at which the Special Session Deadline for organizers: April15, 1985 has been scheduled. Deadline for consideration: To be announced Abstracts of papers submitted for consideration for Fall1985 Meeting presentation at a Special Session must be received by the Providence office (Editorial Department, American Southeastern Section Mathematical Society, Post Office Box 6248, Providence, Deadline for organizers: April15, 1985 RI 02940) by the special deadline for Special Sessions, Deadline for consideration: To be announced which is usually three weeks earlier than the deadline for contributed papers for the same meeting. The Council January 1986 Meeting in New Orleans has decreed that no paper, whether invited or contributed, Associate Secretary: Frank T. Birtel may be listed in the program of a meeting of the Society unless an abstract of the paper has been received in Deadline for organizers: April15, 1985 Providence prior to the deadline. Deadline for consideration: To be announced
lnfonnation for Organizers Special Sessions at Annual and Summer meetings are held under the general supervision of the Program Committee. They are administered by the Associate Send Proposals for Special Sessions to the Secretary in charge of the meeting with staff assistance Associate Secretaries from the Society office in Providence. The programs of sectional meetings are arranged by Some Special Sessions arise from an invitation to a the Associate Secretary for the section in question: proposed organizer issued through the Associate Secretary. Others are spontaneously proposed by interested organizers Far Western Section (Pacific and Mountain) or participants. Such proposals are welcomed by the Hugo Rossi, Associate Secretary Associate Secretaries. Department of Mathematics The number of Special Sessions at a Summer or Annual University of Utah Meeting is limited to twelve. Proposals, invited or Salt Lake City, UT 84112 offered, which are received at least nine months prior (Telephone 801-581-8159) to the meeting are screened for suitability of the topic Central Section and of the proposed list of speakers, and for possible Robert M. Fossum, Associate Secretary overlap or conflict with other proposals (specific deadlines Department of Mathematics for requesting approval for Special Sessions at national University of illinois meetings are given above). If necessary, the numerical 1409 West Green Street limitation is enforced. Urbana, IL 61801 Proposals for Special Sessions should be submitted (Telephone 217-333-3975) directly to the Associate Secretary in charge of the meeting (at the address given in the accompanying box). If such Eastern Section proposals are sent to the Providence office, addressed to W. Wistar Comfort, Associate Secretary the Notices, or directed to anyone other than the Associate Department of Mathematics Secretary, they will have to be forwarded and may not be Wesleyan University received before the quota is filled. Middletown, CT 06457 In accordance with an action of the Executive (Telephone 203-34 7-9411) Committee of the Council, no Special Session may Southeastern Section be arranged so late that it may not be announced in Frank T. Birtel, Associate Secretary the Notices early enough to allow any member of the Department of Mathematics Society, who wishes to do so, to submit an abstract for Tulane University consideration for presentation in the Special Session before New Orleans, LA 70118 the deadline for such consideration. (Telephone 504-865-5646) Special Sessions are effective at Sectional Meetings As a general rule, members who anticipate organizing and can usually be accommodated. They are arranged Special Sessions at AMS meetings are advised to seek by the Associate Secretary under the supervision of the approval at least nine months prior to the scheduled date Committee to Select Hour Speakers for the section. The of the meeting. No Special Sessions can be approved limitation on the number of sessions depends on the space too late to provide adequate advance notice to members and time available. The same restriction as for national who wish to participate. meetings applies to the deadline for announcing Special
797 Joint Summer Research Conferences in the Mathematical Sciences Humboldt State University, Arcata, California, June 23 to August 31, 1985
The 1985 Joint Summer Research Conferences in these conferences are limited and so individuals who the Mathematical Sciences will be held at Humboldt can obtain support from other sources should do so. State University, Arcata, California, between June 23 The Joint Summer Research Conferences in the and August 31, 1985. It is anticipated that the series Mathematical Sciences are under the direction of of week-long conferences will be supported by a grant the AMS-IMS-SIAM Committee on Joint Summer from the National Science Foundation. Research Conferences in the Mathematical Sciences There will be ten one-week conferences in ten which includes: Ronald L. Graham, Benedict H. different areas of mathematics. Each week par Gross, Malcolm R. Leadbetter, Angus J. Macintyre, ticipants will arrive on Sunday and leave the following Jerrold E. Marsden, John R. Martin, James McKenna, Saturday. Lectures will begin on Monday morning Tilla Klotz Milnor, Evelyn Nelson, Katsumi Nomizu, and end Friday afternoon. The topics and organizers and R. 0. Wells, Jr. (chairman). for the ten conferences were selected by the AMS Descriptions of the subject matter of each of the IMS-SIAM Commmittee on Joint Summer Research 1985 Conferences appeared in the October Notices, Conferences in the Mathematical Sciences. The pages 686 to 688; they were accompanied by lists of selections were based on suggestions made by the members of the respective organizing committees. members of the committee and others. The committee considered it important that the conferences represent June 23 to June 29 diverse areas of mathematical activity, with emphasis Brown- Gitler spectra and applications on areas currently especially active, and paid careful R. JAMES MILGRAM (Stanford University), Chair attention to subjects in which there is important man interdisciplinary activity at present. June 30 to July 6 The conferences will be similiar in structure to those held throughout the year at Obei:wolfach. These Applications of Lie groups in differential geometry conferences are intended to complement the Society's WOLFGANG ZILLER (University of Pennsylvania), program of annual Summer Institutes and Summer Chairman Seminars, which have a larger attendance and are July 7 to July 13 substantially broader in scope. The conferences are Numerical simulations of fluid flow research conferences, and are not intended to provide GREGORY BAKER (University of Arizona), Chair an entree to a field in which a participant has not man already worked. It is expected that funding will be available for July 14 to July 20 a limited number of participants in each conference. Multiparameter bifurcation theory Others, in addition to those funded, will be welcome, MARTIN GOLUBITSKY (University of Houston), Co within the limitations of the facilities of the campus. Chairman Up to about 100 participants can be accommodated JoHN M. GucKENHEIMER (University of Califor at each conference. Housing accommodations will nia, Santa Cruz), Co-Chairman be available on campus for those attending the conferences, and daily meals will be served in the July 21 to July 27 Jolly Giant Conference Center near the dormitories. Harmonic analysis in Rn A brochure describing the facilities available at ELIAS M. STEIN (Princeton University), Chairman Humboldt State University will be available from the AMS office in March 1985. The brochure will include July 28 to August 3 information on firm room rates, the residence and Jilunction estimates dining hall facilities, as well as local information MURRAY ROSENBLATT (University of California, and a reservation form to be used for requesting San Diego), Chairman accommodations on campus. Each participant will August 4 to August 10 pay a registration fee and a social fee to cover the cost of refreshments served at breaks and for social Applications of mathematical logic to finite combinatorics eyents. STEPHEN G. SIMPSON (Pennsylvania State Univer Those interested in attending one of the conferences sity), Chairman should request an application form from Carole August 11 to August 17 Kohanski, Summer Research Conference Coordinator, Combinatorics and ordered sets American Mathematical Society, Post Office Box IVAN RIVAL (University of Calgary), Chairman 6248, Providence, RI 02940 (401-272-9500, extension 286), specifying which conference they wish to August 18 to August 24 attend. Selection of the participants and approval of Current trends in arithmetical algebraic geometry participant support will be made by the Organizing KENNETH A. RIBET (University of California, Committee for each conference. Women and members Berkeley), Chairman of minority groups are encouraged to apply and to participate in these conferences. The deadline for August 25 to August 31 receipt of applications is January 27, 1985. Those who Computational number theory wish to apply for a grant-in-aid should so indicate ANDREW M. ODLYZKO (AT&T Bell Laboratories), on the application form; however, funds available for Chairman
798 1985 Summer Seminar In Applied Mathematics, June 30-July 13 Reacting Flows: Combustion and Chemical Reactors
The seventeenth AMS-SIAM Summer Seminar in to be used to obtain accommodations on campus. Applied Mathematics will be held June 30-July 13, Each participant will pay a social fee to cover the 1985, at Cornell University, Ithaca, New York. The cost of refreshments served at breaks and for social seminar will be sponsored jointly by the American events. There will also be a meeting registration fee. Mathematical Society and the Society for Industrial Application blanks for admission and/or financial and Applied Mathematics. It is anticipated that it assistance can be obtained from the Meetings will be supported by a grant from a federal agency. Department, American Mathematical Society, P. 0. The topic Reacting Flows: Combustion and Chemical Box 6248, Providence, Rhode Island 02940. An Reactors was selected by the AMS-SIAM Co:mnrittee applicant should have completed at least one year on Applied Mathematics whose members at the time of graduate school and will be asked to indicate were Roger W. Brockett, C. K. Chu, A. K. Konheim, his or her scientific background and interest. A Alan C. Newell (chairman), George C. Papanicolaou, graduate student's application must be accompanied and Robert F. Warming. The proceedings of the by a letter from his or her faculty advisor concerning seminar will be published by the Society in the the applicant's ability and promise. Those who series Lectures in Applied Mathematics. A copy of the wish to apply for a grant-in-aid should so indicate; proceedings will be available to registered participants however, funds available for the seminar are limited as a privilege of participation in the seminar. and individuals who can obtain support from other The seminar is the culmination of the Special Year sources should do so. 1984-85 on the same subject held at the Center for Applied Mathematics of Cornell University. The Topics for AMS/SIAM Summer Seminar theory of reacting flows has finally blossomed as a mathematical science in the last decade, and an (Reviews preferred) attempt will be made to synthesize it into a firm Laminar Combustion foundation for future large-scale computing. The Diffusion flame structure, extinction and spread seminar will not, however, be aimed at computational Deflagration structure, stability and extinction fluid mechanics as a whole, but only those parts Ignition and explosion development peculiar to reacting flows. Detonation structure, initiation and failure A series of five lectures each will be given by Ruther Deflagration-to-detonation transition ford Aris (University of Minnesota, Minneapolis), G. Multiple-step kinetics S. S. Ludford (Cornell University), and Andrew Fluid-dynamical effects Majda (University of California, Berkeley); shorter Turbulent Combustion series will be presented by Harry Dwyer (University of Reactors (stirred tank, tubular, countercurrent, California, Davis), and A. F. Ghoniem (Massachusetts Institute of Technology). There will also be lec two-phase) tures by John D. Buckmaster (University of illinois, Fluidized and packed beds Urbana), Donald Cohen (California Institute of Tech Control, multiplicity of states, oscillations, nology), John Guckenheimer (University of California, stability Santa Cruz), Ingo Muller (Berlin), Basil Nicolaenko Pyrolysis and Gasification (Los Alamos National Laboratory), Herschel Rabitz Gas-solid reactions, autocatalysis, (Princeton University), and Forman A. Williams catalyst preparation (Princeton University). Together, these lectures will Polymerization, mass-action kinetics summarize the Cornell Special Year and sharpen the Mathematical Questions focus onto computational questions. Existence, uniqueness and stability of The remaining speakers will be selected by combustion structures the Organizing and Advisory Committees on the Ignition modeling basis of abstracts submitted and commitments Analysis of complex reactions to a timely written version. The Organizing Governing equations of reacting flows Committee consists of Donald Cohen, G. S. S. Sensitivity analysis Ludford, (chairman), Andrew Majda, and Forman A. Qualitative methods and transition to chaos in Williams; the members of the Advisory Committee reactive systems are Rutherford Aris, John D. Buckmaster, H. Dwyer, Computational Questions John Guckenheimer, Ingo Miiller, Basil Nicolaenko, and Herschel Rabitz. A list of topics at which Laminar-flame structure abstracts should be aimed can be obtained from: Detonation-wave structure Professor G. S. S. Ludford, Theoretical & Applied Transition to detonation Mechanics, Thurston Hall, Cornell University, Ithaca, Statistical calculations of turbulent flames New York 14853. Large-eddy simulations (vortex dynamics) Adaptive-mesh techniques In the early spring a brochure will be available from Elliptic free-boundary problems the AMS office which will include a description of Numerical bifurcation and instability in reactors the scientific program, as well as information on the and combustion residence and dining hall facilities, with firm room and Sensitivity analysis board rates, local information, and a reservation form
799 Special Meetings
TillS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES for entries in this section are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting.
October 7, 1984-December 14, 1985. Mathematisches 23-25. Fourth Mathematics Conference, Rajshahi, Forschungsinstitut Oberwolfach (Weekly Conferences), Bangladesh. (October 1984, p. 691) Federal Republic of Germany. (October 1984, p. 689) 26--December 7. Workshop on the Theory of Valuated 1985. European Meehanica Colloquia, Various locations. Abelian Groups, University of Colorado, Colorado Springs, (October 1984, p. 690) Colorado. (August 1984, p. 523) August 21, 1984--May 20, 1985. Special Year in Logie, DECEMBER 1984 University of Illinois, Urbana, Illinois. (August 1984, p. 521) 4--7. Second Colloque sur la Di!fusion des Ondes September 1, 1984--August 31, 1985. Program on Ultrasonores, Paris, France. (October 1984, p. 691) Continuum Physics and Partial Ditrerential Equations, 9--12. Canadian Mathematical Society Winter Meeting, Institute for Mathematics and its Applications, University University of Western Ontario, London, Ontario, Canada. of Minnesota, Minneapolis, Minnesota. (August 1984, (October 1984, p. 691) p. 521) 10-12. Journees Probabilistes, CIRM-Luminy, France. 1984-1985. Special Year Devoted to Minimal Surfaces (June 1984, p. 398) and their Applications to Low-Dimensional Topology, 10-14. International Conference on Algebraic Geometry, Department of Mathematics, University of California, Algebraic Topology and Differential Equations, Mexico Santa Barbara, California. (October 1984, p. 690) City, Mexico. (October 1984, p. 691) 1984-1985. Academic Year Devoted to Nonlinear 10-20. Second International Conference on Algebraic Differential Equations, The Mittag-Lefller Institute, Geometry, La Rabida, Spain. (June 1984, p. 398) Djursholm, Sweden. (February 1984, p. 194) 15-18. International Conference on Foundation of Statis 1984--1985. Special Year Devoted to Reaeting Flows: tical Inference: Applications in Medicine, Social Science Combustion and Chemical Reactors, Center for Applied and Industry, Jerusalem, Israel. (October 1984, p. 691) Mathematics, Cornell University, Ithaca, New York. (April 1984, p. 333) JANUARY 1985 Spring 1985. Special Semester in the Theory of Sin 7-11. NSF-CBMS Regional Conference on Multivariate gularities, Banach Center, Warsaw, Poland. (August 1984, Estimation, University of Florida, Gainesville, Florida. p. 521) (June 1984, p. 398) 9-19. Workshop on Three-Manifolds, Berkeley, California. NOVEMBER 1984 (August 1984, p. 524) 7-9. Symposium on Foundations of Computer Science, 10-19. Conference on Solitons and Coherent Struetures, Tucson, Arizona. (February 1984, p. 200) The Institute for Theoretical Physics, University of California, Santa Barbara, California. (August 1984, 7-10. Journees d'Arithmetique et Analyse Harmonique, p. 524) Universite Paris VII, Paris, France. (August 1984, p. 523) 12..:.13. Association for Symbolic Logie Annual Meeting, 12-December 14. Autumn Course on Semigroups, Theory Anaheim, California. and Applications, Miramare-Trieste, Italy. (August 1984, Prowam: The meeting is being held in conjunction with a p. 523) meeting of the American Mathematical Society. Invited 14-19. Computer Graphics '85, Dallas Convention Center, speakers will include Howard Becker, Kit Fine, John Dallas, Texas. (April 1984, p. 337) McCarthy, Lou van den Dries, and Theodore Slaman. Hugh Woodin will also be giving a talk at the AMS 17-19. Symposium on Complexity of Approximately meeting. Solved Problema, Columbia University, New York, New Program Committee: A. Kechris (Chairman), D. A. Martin York. (April 1984, p. 338) and T. Parsons. 22-23. Fifth Rencontre Franco-Beige de Statistique, CIRM Information: A. Kechris, Mathematics Department, Califor Luminy, France. (June 1984, p. 389) nia Institute of Technology, Pasadena, California 91125.
800 14-February 1. Twenty-fifth Summer Research Institute APRIL 1985 of the Australian Mathematieal Society, Auckland, New 1-3. EUROCAL '85: European Conference on Computer Zealand. (October 1984, p. 691) Algebra (Symbolic and Algebraic Computation), Linz, Austria. (October 1984, p. 692) 21-24. SEG-SIAM-SPE Conference on Mathematical and Computational Methods in Seismic Exploration and 8-13. Third Easter Conference on Model Theory, Berlin, Reservoir Modeling, Houston, Texas. (August 1984, p. 524) German Democratic Republic. Organizers: Logic Research Group, Department of Mathe 21-25. Workshop on Liquid Crystals and Liquid Crystal matics, Humboldt University, Berlin. Polymers, University of Minnesota, Minneapolis, Min Instructions for Participants: Interested participants should nesota. (October 1984, p. 691) send the following information to the address below by Invited Participants: E. DiBenedetto, G. Berry, P. Cladis, December 1, 1984: title of paper, date of arrival and J. Ferguson, F. M. Leslie, R. Schoen, J. Sethna, J. departure, information necessary for visa application Spruck, and W. Ziemer. {family name, first name, date and place of birth, permanent address, name and address of employer, number of passport and country, citizenship, present occupation, profession). FEBRUARY 1985 Information: Hans-Joachim Goltz, Sektion Mathematik der Humboldt-Universitat, 1086 Berlin, PSF 1297, German Democratic Republic. 3-7. 1985 Applied Mathematics Conference, Australian Maritime College, Launceston, Tasmania. {October 1984, 8-19. International Seminar on Algebraic and Topologieal p. 692) Graph Theory, Dubrovnik, Yugoslavia. Sponsor: Inter-University Centre for Post-Graduate 11-15. Sixteenth Southeastern International Conference Studies. on Combinatoric&, Graph Theory and Computing, Florida Topics: Graph spectra and matching polynomials; com Atlantic University, Boca Raton, Florida. {October 1984, binatorial group theory; harmonic analysis on trees; p. 692) graph embeddings; embeddings of Cayley graphs and group actions on surfaces; and coverings and generaliza 18-21. Conference on Mathematical Analysis and ita tions of coverings. Applications, Kuwait University, Kuwait. (August 1984, Co-Directors: Wilfried Imrich {Leoben, Austria), T. D. p. 524) Parsons {California State University, Chico, California 95929), and Toma.Z Pisanski (University of Ljubljana, 28-March 1. Reasoning and Higher Education: A Multi Yugoslavia). disciplinary Experiential Conference, Boise, Idaho. 12-13. Workshop on Numerieal Fluid Dynamics, Georgia Co-Sponsors: Boise State University Center for the Study Institute of Technology, Atlanta, Georgia. (October 1984, of Thinking and the Northern Rockies Consortium of p. 692) Higher Education. 17-19. Symposium on Complexity of Approximately Program: The conference will provide workshops and Solved Problema, Columbia University, New York, New presentations designed to help higher education faculty York. (August 1984, p. 524) promote the development of reasoning in college 18-20. Applications of Harmonic Measure: Annual Lec students. ture Series in the Mathematical Sciences, Fayetteville, Information: Dewey Dykstra, Center for the Study of Arkansas. Thinking, Boise State University, 1910 University Drive, Program: The principal lecturer will be John Garnett, Boise, Idaho 83725, 208-385-1934. University of California at Los Angeles. There will be other invited speakers and contributed talks. Deadline for Abstracts: February 15, 1985. MARCH 1985 Information: D. Khavinson or D. Lueeking, Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, 501-575-6331 or 6327. 18-22. Short Course on Numerieal Methods for Partial 25-26. Sixteenth Annual Pittsburgh Conference on Dift'erential Equations, University of Tennessee Space Modeling and Simulation, University of Pittsburgh, Institute, Thllahoma, Tennessee. (October 1984, p. 692) Pittsburgh, Pennsylvania. {October 1984, p. 692) 18-22. NSF-CBMS Regional Conference on Mathematical 25-27. Geometric Topology Conference Honoring the Ecology, University of California, Davis, California. Sixty-fifth Birthday of Professor C. E. Burgess, Brigham {October 1984, p. 692) Young University, Provo, Utah. Speakers: F. D. Ancel (University of Oklahoma), J. L. 20-22. GI-Fachtagung "Datenbankayateme in Biiro, Tech Bryant {Florida State), J. W. Cannon {University of nik und Wiaaenachaft", Karlsruhe, Federal Republic of Wisconsin), R. J. Daverman (University of Tennessee), Germany. (October 1984, p. 692) W. T. Eaton (University of Texas), R. D. Edwards {UCLA), S. C. Ferry (University of Kentucky), R. 22-24. Conference on Automorphic Forma and L Fintushel {Thlane), D. J. Garity {Oregon State), C. Functiona, Purdue University, West Lafayette, Indiana. M. Gordon (University of Texas), J. P. Hempel {Rice (October 1984, p. 692) University), C. B. Hughes (University of Utah), P. B. Shalen {Rice University), L. C. Siebenmann (Universite 25-29. Conference on Chaotic Dynamics, Georgia Institute de Paris-Sud), R. J. Stern (University of Utah), G. A. of Technology, Atlanta, Georgia. (October 1984, p. 692) Venema (Calvin College), J. J. Walsh {University of Tennessee), J. E. West {Cornell University). 26-28. M. C. Escher: An Interdisciplinary Congress, Information: D. G. Wright, Department of Mathematics, University of Rome, Rome, Italy. (August 1984, p. 524) Brigham Young University, Provo, Utah 84602. 27-29. Conference o.!.< Information Sciences and Systems, 26-27. Association for Symbolic Logic Spring Meeting, The Johns Hopkins University, Baltimore, Maryland. Palmer House, Chicago, Illinois. {October 1984, p. 692) Deadline for Abstracts: January 31, 1985. Information: P. Hinman, Program Chairman, Mathematics 28-31. Sixteenth Annual Iranian Mathematics Conference, Department, University of Michigan, Ann Arbor, Zahedan, Iran. (October 1984, p. 692) Michigan 46106.
801 MA¥1985 10-14. Third International Conference on Combinatorial Mathematics, New York, New York. 1-3. Alaska Statistics Conference, Juneau, Alaska. (August Topics: Graph theory, combinatorics, optimization, dis 1984, p. 524) crete and computational geometry, robotics. Invited Lecturers: L. Lovasz (Eotvos University, Hungary), 5-11. Third International Conference on Complex Analysis J. Schwartz (Courant Institute), P. Seymour (Bell and Applieations, Varna, Bulgaria. Communications Research), R. Stanley (MIT), R. Program: There will be invited lectures and short talks, Tarjan {AT&T Bell Laboratories), F. Yao (Xerox Pare). seminars, problem and poster sessions on current There will also be about 40 invited short talks. problems in complex analysis and applications. A Sponsor: New York Academy of Sciences. seminar on the theory of complex deformations will be Information: Conference Director, New York Academy of held within the conference. Sciences, 2 East 63rd Street, New York, New York Information: T. Tonev or N. Bozhinov, Institute of 10021, 212-838-0230. Mathematics, Bulgarian Academy of Sciences, P. 0. Box 373, 1090 Sofia, Bulgaria. 10-14. Seventh International Sympollium on the Mathe matical Theory of Networks and System•, Royal Institute 6-8. Seventeenth Annual ACM Sympollium on Theory of Technology, Stockholm, Sweden. (October 1984, p. 693) of Computing, Providence, Rhode Island. (October 1984, 10-15. Conference on Topology, National University of p. 692) Singapore. 16-17. European Conference on 'lEX For Scientific Information: Jon Berrick, Department of Mathematics, Documentation, Varenna, Italy. National University of Singapore, Kent Ridge 0511, Topics: 'lEX system integration and improvement; font Republic of Singapore. design; macro packages and development methodology; 19-21. Fourth International Conference on the Numerical document structure standards; end-users interfaces and Analysis of Semiconductor Devices and Integrated Cireuits, work stations; preprinting, printing and typesetting; Dublin, Ireland. (June 1984, p. 398) implementation of output drivers; integration of text 20-July 5. Third Workshop on Nonlinear Evolution and graphics; filing, retrieval and delivery of 'lEX Equations and Dynamical Systems, Leece, Italy. (October documents; transporting text; document preparation 1984, p. 693) environments; electronic publishing applications. Deadline for Papers: December 1, 1984. 24-28. Aspects of Pollitivity in Functional Analyllis, Mathematisches Institut der Universitat Tiibingen, Federal Information and Papers: D. Lucarella, Istituto di Ciber Republic of Germany. (August 1984, p. 525) netica, Universita di Milano, via Viotti 3/5, 20133 Milano, Italy. JULY 1985 16-21. Workshop on Differential Geometry, Berkeley, California. (August 1984, p. 524) 1-5. International Conference on Classical and Categorical Algebra, University of Natal, Durban, Republic of South 17-19. Conference on the ffistory and Philosophy of Mrica. (October 1984, p. 693) Modern Mathematics, Minneapolis, Minnesota. 1-6. First International Fu•sy Systems Association Con Sponsors: Alfred P. Sloan Foundation, the University of gress, Palma de Mallorca, Balearic Islands, Spain. (October Minnesota. 1984, p. 693) Topics: Historical and philosophical perspectives on modern logic; relations between history and philosophy of 2-8. Fifteenth Conference on Stochastic Processes and mathematics; case studies in the history and philosophy their Applieations, Nagoya, Japan. (October 1984, p. 693) of mathematics; conceptual development of nineteenth 5-6. International Colloquium on Applieations of Mathe century mathematics; mathematical perspectives on the matics, Hamburg, Federal Republic of Germany. (October history and philosophy of mathematics. 1984, p. 693) Information: William Aspray, Charles Babbage Institute, 7-13. Logie Colloquium 85: European Summer Meeting of 104 Walter Library, 117 Pleasant Street SE, University the Association for Symbolic Logie, University of Paris XI, of Minnesota, Minneapolis, Minnesota 55455; or Philip Orsay, France. (October 1984, p. 693) Kitcher, Minnesota Center for the Philosophy of Science, 8-20. Conference on Logie, Language and Computation, Ford Hall, University of Minnesota, Minneapolis, Stanford University, Stanford, California. Minnesota 55455. Program: The first week will consist of a summer school 20-24. Fifth Annual Conference on Evolution, Games and with courses on various topics; the second week will Learning: Models for Adaptation in Maehines and Nature, be an Association for Symbolic Logic meeting including Los Alamos, New Mexico. invited lectures, symposia, and sessions for contributed Sponsor: Center for Nonlinear Studies of the Los Alamos papers. National Laboratory. Information: Ingrid Deiwiks, Center for the Study of Information: Center for Nonlinear Studies, MS B258, Los Language and Information, Ventura Hall, Stanford Alamos National Laboratory, Los Alamos, New Mexico University, Stanford, California 94305. 87545, 505-667-1444. 16-19. Second International Conference on the Teaehing 23-June 1. Workshop on Four-Manifolds and Geometry, of Mathematical Modelling, University of Exeter, Exeter, Berkeley, California. (August 1984, p. 524) England. (August 1984, p. 525) 22-26. Tenth British Combinatorial Conference, Glasgow, 26-June 2. International Conference on Functional Scotland, United Kingdom. (October 1984, p. 693) Differential Systems and Related Topics IV, Jachranka, Poland. (August 1984, p. 524) 27-August 3. Groups 1985, St. Andrews, Scotland. (October 1984, p. 694) 28-June 1. Colloque de Combinatoire Enumerative, 28-August 10. Conference on Banach Spaces and Classical Montreal, Quebec, Canada. (October 1984, p. 693) Analysis, Kent State University, Kent, Ohio. Information: Banach Space Conference, c/o Richard M. JUNE 1985 Aron and Joe Diestel, Department of Mathematics, Kent State University, Kent, Ohio 44242, 216-672-2430. 5-14. Conference on Geometry and Operator Algebras, 31-August 8. Symposium on the Transmission of Mathe Berkeley, California. (August 1984, p. 525) matical Science, Berkeley, California. (June 1984, p. 398)
802 AUGUST 1985 16-21. Eleventh International Congress of the Osterreichische Mathematisehe Gesellsehaft, Graz, 5-9. Second Seminar on Random Graphs and Probabilistic Austria. (October 1984, p. 694) in Combinatoric•, Poznan, Poland. (October Methods 17-19. International Symposium on Numerical Analysis, p. 694) 1984, Madrid, Spain. (August 1984, p. 525) 5-16. Georgia Topology Conference, University of Georgia, Athens, Georgia. (October 1984, p. 694) OCTOBER 1985 12-16. Workshop/Conference on Hydrocodes and Other Codes on Parallel Processors, Michigan Technological 22-24. Seventeenth National SAMPE Technical Con University, Houghton, Michigan. (October 1984, p. 694) ference, Kiamesha Lake, New York. (October 1984, p. 694) 26-30. Colloquium on Ordered Sets, Szeged, Hungary. Organizers: The Bolyai Janos Mathematical Society. MAY 1985 Topics: The major areas covered will be ordered sets; on Flood Frequency and lattice theory; and algebraic aspects of matroid theory. 18-21. International Symposium Louisiana State University, Baton Rouge, Information: G. Czedli and A. Huhn, Colloquium on Risk Analyses, Louisiana. (October 1984, p. 694) Ordered Sets, Bolyai Institute, Aradi vertanuk tere 1., H-6720 Szeged, Hungary. ****** SEPTEMBER 1985 AUGUST 1986 2-12. NATO Advanced Study Institute: Advances in Mieroloeal Analysis, ll Ciocco, Castelvecchio-Pascoli, Italy. 3-11. International Congress of Mathematicians, Berkeley, (August 1984, p. 525) California. (February 1984, p. 159)
David Gillman and Dale Rolfsen, Manifolds and CONTEMPORARY their special spines MATHEMATICS Sushil jajodia and Bruce Magurn, Realizing units as Whitehead torsions in low dimension Dennis johnson, A survey of the Torelli group Louis H. Kauffman, Combinatorics and knot theory R. Kramer, Dehn twists and handlebodies of genus two j. P. Levine, Localization of link modules Low Dimensional Topology A. Libgober, Alexander modules of plane algebraic curves Samuel). Lomonaco, Jr., Editor S. j. Lomonaco, j r., Five dimensional knot theory This volume arose from a special session on Low Toru Maeda and Kunio Murasugi, Covering linkage Dimensional Topology organized and conducted by invariants and Fox's problem 13 Dr. Lomanco at the American Mathematical Society Richard Mandelbaum and Boris Moishezon, Numeric meeting held in San Francisco, California, january invariants in 3-manifolds 7-11, 1981. William W. Menasco, Polyhedra representation of link Contents complements joan S. Birman and R. F. Williams, Knotted periodic john G. Ratcliffe, A fibered knot in a homology orbits in dynamical system II: Knot holders for 3-sphere whose group is nonclassical fibered knots Martin Scharlemann and Craig Squier, Automorph Steven A. Bleiler, Doubly prime knots isms of the free group of rank two without finite joe Brandenburg, Micheal Dyer, and Ralph Strebel, orbits On }. H. C. Whitehead's aspherical question II 1980 Mathematics Subject Classifications: 57-06, 57Mxx, Roger Fenn and Denis Sjerve, Geometric cohomology 55-06 theory Contemporary Mathematics Ronald Fintushel and Ronald j. Stern, Seifert fibered Volume 20, x + 350 pages (soft cover) List price $27, institutional member $22, 3-manifolds and nonorientable 4-manifolds individual member $16 Michael H. Freedman, A conservative Dehn's lemma ISBN 0·8218-5016·4; LC 83-10022 David Gabai, The Murasugi sum is a natural geometric Publication date: August 1983 operation To order, please specify CONM/20N
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803 New AMS Publications
Combined Membership List, of Baire whenever the graph of F is a C-set of 1984-1985 Selivanovskii (or a Borel-programmable set of Blackwell. or an R-set of Kolmogorov. or a The Combined Membership List is a Borel-game set of Vaught) and whose value of F is comprehensive directory of the membership of the either nonmeager or nonnull with respect to a American Mathematical Society. the Mathematical given Borel probability measure distribution. Association of America. and the Society for 1980 Mathematics Subject Classifications: Industrial and Applied Mathematics. This edition 28A05, 04A15, 03E15 will have names and addresses (and in many ISBN 0-8218-2299-3, LC 84-18464 instances telephone numbers) of the membership ISSN 0065-9266 iv + 50 pages (softcover), November 1984 as of July 1. 1984. The list is distributed as a List price $9, Institutional member $7, privilege of membership to AMS members in Individual member $5 Shipping and handling charges must be added even-numbered years (this edition) and to MAA To order, please specify MEM0/311N members in odd-numbered years. Following the alphabetic listing of individual members (which lists address. title. department. institution. membership in which of the three organizations. and. if available. a telephone Qualitative Analysis of the number). there are geographic listings of individual Anisotropic Kepler P·roblem members. academic and institutional members and other categories of membership. The geographic Josefina Casasayas listing is alphabetical by state. city. and institution; and Jaume Llibre in Canada. by province. city. and institution. This (Memoirs of the AMS. Number 312) is followed by listings for the rest of the world - This Memoir is devoted to the qualitative Algeria to Zambia. The list of Academic and analysis of the anisotropic Kepler problem. It also Institutional Members follows with institution. surveys the recent results obtained. and the main switchboard and department telephone techniques that have been developed for attacking numbers. and membership in which organizations. this new problem. which was introduced by Other categories of member include corporate Gutzwiller in order to study bound states of an members. institutional associates. patrons and electron near a donor impurity of a semiconductor. sustainers. The book exhibits many qualitative phenomena of ISBN 0-8218-0085-X interest in the theory of differential equations viii + 344 pages (softcover), November 1984 List price $24, Institutional member $19, (non-integrability, chaotic behavior .... ) as was Individual member $14 already seen in the works of Gutzwiller and Shipping and handling charges must be added To order, please specify CML/84/SSN Devaney. The anisotropic Kepler problem is a one-parameter family (of parameter ~-t) of Measurable Selectors of PCA Hamiltonian systems with two degrees of freedom. When 1-t = 1 it becomes the Kepler problem (an M ultifunctions with integrable system). and the authors show the Applications global orbit structure by taking into account the Marian Srebrny blow-up of the singularities at the origin and at infinity. When 1-t E (9/8, oo ). symbolic dynamics (Memoirs of the AMS. Number 311) allow the authors to classify its solutions. In fact. In this Memoir. measurable selection theory is they prove that the dynamic behavior contains a investigated from the modern descriptive set subshift with an infinite alphabet. The symbols of theory point of view. This approach leads to a this alphabet take into account the symmetries of general measurable selection theorem-scheme. A the problem. For each periodic sequence of this necessary and sufficient condition is given for the subshift. Casasayas and Llibre show the existence existence of a measurable selector. In the case of a of a symmetric periodic orbit which realizes it. The multifunction F from X to subsets of Y. both transition from 1-t = 1 (integrable) to 1-t > 9/8 Polish spaces. it is shown that F admits a (chaotic) is such that the chaos does not appear universally measurable selector with the property until~-t = 9/8.
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804 1980 Mathematics Subject Classifications: unbounded domains. A scattering theory is 34C35, 58F15 constructed for potentials depending on the time. ISBN 0-8218-2309-4, LC 84-18521 ISSN 0065-9266 and the dependence of the poles of the scattering viii + 115 pages (softcover), November 1984 matrix on a parameter is investigated. along with List price $13, Institutional member $10, Individual member $8 the resonance states for the Schrodinger operator. Shipping and handling charges must be added Contents To order, please specify MEM0/312N L. V. Kapitanskii and K. I. Piletskas. On spaces of solenoidal vector fields and boundary value Noncommutative Microlocal problems for the Navier-Stokes equations in Analysis, Part I domains with noncompact boundaries 0. A. Ladyzhenskaya and V. A. Solonnikov. On Michael E. Taylor an initial-boundary value problem for linearized (Memoirs of the AMS. Number 313) Navier-Stokes equations in domains with Pseudodifferential operators on Rn in OPSm0 noncompact boundaries are built out of smooth families of convolutiori' N. B. Maslova. Steady-state solutions of the operators on Rn. Similarly important classes of linearized Boltzmann equation operators can be built out of smooth families of I. Sh. Mogilevskii. Estimates of solutions of the convolution operators on a noncommutative Lie general initial-boundary value problem for the group G. When the representation theory and linear time-dependent system of Navier-Stokes harmonic analysis on G are well understood, one equations in a bounded domain can construct a noncommutative symbol calculus. S. A. Nazarov and K. I. Piletskas. On the This paper develops some aspects of the resulting behavior of solutions of the Stokes and noncommutative microlocal analysis. Chapter I Navier-Stokes systems in domains with a treats operators on general Lie groups. The details periodically varying section of the symbol calculus depend on the particular A. P. Oskolkov. On time-dependent flows of representation theory of the group G. and such a visco-elastic fluids theory is worked out for the Heisenberg group in S. V. Petras. On the continuous dependence of Chapter II. In Chapter Ill this theory is applied to a the poles of the scattering matrix on the systematic study of operator classes on contact coefficients of an elliptic operator manifolds. including parametrices for naturally K. I. Piletskas. On spaces of solenoid vectors occurring subelliptic operators, heat asymptotics. V. Ya. Rivkind, A priori estimates and the and a study of the Szego projectors. method of successive approximations for solving the problem of motion of a drop 1980 Mathematics Subject Classification: 35H05 M. R. Sayapova and D. R. Yafaev. The ISBN 0-8218-2314-0, LC 84-18500 evolution operator for time-dependent potentials ISSN 0065-9266 iv + 182 pages (softcover), November 1984 of zero radius List price $17, Institutional member $14, M. A. Shubova. The resonance selection principle Individual member $10 Shipping and handling charges must be added for the three-dimensional Schrodinger operator To order, please specify MEM0/313N M. A. Shubova. The serial structure of the resonances of the three-dimensional Schrodinger operator Boundary Value Problems of D. R. Yafaev. The virial theorem and conditions Mathematical Physics, XII for unitarity of wave operators in scattering by a 0. A. Ladyzhenskaya time-dependent potential (Proceedings of the Steklov Institute of 1980 Mathematics Subject Classifications: 35J10, 35P25, 35Q10, and others Mathematics. Volume 159) ISBN 0-8218-3002-3, LC 67-6187 ISSN 0081-5438 The papers of this collection are devoted to vi + 226 pages (softcover), June 1984 hydrodynamics and problems of quantum List price $56, Institutional member $45, Individual member $34 scattering. The solvability of steady-state and Shipping and handling charges must be added time-dependent problems for viscous To order, please specify STEKL0/159N incompressible fluids is studied, mainly in domains with noncompact boundaries. In addition, the solvabiltiy of an initial-boundary value problem for viscoelastic fluids is studied, as well a steady-state problem for linearized Boltzmann equations in
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805 Miscellaneous
Personal Items Visiting Mathematicians (Supplementary List) Myron B. Allen of the University of Wyoming, has been appointed Assistant Professor of Mathematics Mathematicians visiting other institutions during and Adjunct Assistant Professor of Petroleum the 1984-1985 academic year have been listed in Engineering at that institution. recent issues of the Notices: June 1984, pages 403- 405; August 1984, pages 536-537; and October 1984, Douglas I. Bauer of Stevens Institute of Technol pages 708-709. The list below gives the name and ogy has been appointed Associate Professor at that home country, the host institution, period of visit, institution. and field of special interest of additional visiting Jahed Djomehri of the University of California, mathematicians. Berkeley, has been appointed Assistant Professor of Anatole Beek (U.S.A.), London School of Mathematics at the University of Wyoming. Economics, University College and Imperial College, Riehard E. Ewing Professor of Mathematics and England, January 1985 to June 1985, analysis, Petroleum Engineering at the University of Wyoming, topological dynamics. has been named as the first recipient of the J. E. Fred Brauer (U.S.A.), Weizmann Institute for Warren Chair in Energy and Environment. He has Science; Hebrew University of Jerusalem, January also been appointed Co-director of the Institute for 1985 to June 1985, ordinary differential equations, Enhanced Oil Recovery, recently established by the population biology. Wyoming State Legislature. Edward Fadell (U.S.A.), Universitii.t Heidelberg, Franeis T. Hanniek of Mankato State University, West Germany, July 1984 to January 1985; has been named Chairman of the Department of L'Universita della Calabria, Spain, February 1985 Mathematics at that institution. to June 1985, algebraic topology, fixed point theory. Eli L. Isaaeson of the University of Wyoming, has S. Konishi (Japan), Bowling Green State Univer been promoted to Associate Professor of Mathematics sity, August 1984 to May 1985, statistics. with tenure. Pieter Maritz (South Africa), University of Kansas, Haim Reingold has been appointed to Professor August 1984 to May 1985, analysis. and Chairperson of the Mathematics Department at Riehard E. Meyer (U.S.A.), University of London; Mundelein College. University of Manchester, England; and University of Dundee, Scotland, August 1984 to June 1985, applied John Selden, Jr., of Bayero University, Kano, mathematics and mathematical physics. Nigeria, has been appointed Acting Director of the Computer Services Department at that institution. S. Nambooripad (India), Bowling Green State This is in addition to his responsibilities as Head University, August 1984 to December 1984, semi of the Department of Mathematics and Dean of the groups. Faculty of Science. Steven Puriseh (U.S.A.), Czechoslovakian Charles W. Waters of the University of Wyoming, Academy of Sciences, September 1984 to April1985; has been appointed to an assistant professorship at Hungarian Academy of Sciences, May 1985 to August Mankato State University. 1985, general topology.
Deaths
Leonard M. Blumenthal of Columbia, Missouri, died on August 11, 1984, at the age of 83. He was a member of the Society for 31 years. John W. Brookes of Fairfield, Connecticut, died on August 21, 1984, at the age of 41. He was a member of the Society for 16 years. Sister M. Cordia Karl of Baltimore, Maryland, died on August 30, 1984, at the age of 91. She was a member of the Society for 60 years. Anne Morel of Seattle, Washington, died on July 22, 1984, at the age of 39. She was a member of the Society for two years.
806 Application Deadlines for Grants and Assistantships
Many fellowship programs have deadlines for December 1 receipt of applications. These deadlines are noted American Philosophical Society [PS] in news items and in the Stipends Section of the Lady Davis Fellowship Trust [TSA] December Notices. They are listed below for your convenience, and as a reminder since many of Lady Davis Visiting Professorships [TSA] these deadlines occur before the publication date of Royal Norwegian Council for Scientific and In the special December issue on Assistantships and dustrial Research (Postdoctorate Fellowships) Fellowships. Dates taken from the 1983 special [TSA] issue have been updated with information received * Sigma Delta Epsilon, Graduate Women in Science in preparation for the December 1984 issue. For (Eloise Gerry Fellowship) [GS] information about the various programs, the reader University of California, San Diego (S. E. is referred to the appropriate part of the Stipends Warschawski Assistant Professorship) [PS] Section of the December 1983 Notices as follows: [GS] December 3 = Graduate Support Section; [PS] = Postdoctoral Support Section; [TSA] = Travel and Study Abroad AMS Research Fellowships [PS] Section; [SFN] = Study in the U.S. for Foreign December 15 Nationals. Los Alamos National Laboratory (J. Robert * Information from the December 1983 issue not yet Oppenheimer Research Fellowship) [PS] confirmed for this year. • Refers to a news item in this issue of the Notices. December 31 Institute for Advanced Study Memberships [PS] October 1 Massachussetts Institute of Technology (C. L. E. American Philosophical Society [PS] Moore Instructorships in Mathematics) [PS] John Simon Guggenheim Memorial Foundation University of Wisconsin, Madison (Van Vleck Fellowships [PS] Assistant Professorship in Mathematics) [PS] Rotary Foundation (Graduate and Undergraduate Scholarships) [TSA] January 1 AMS-MAA-SIAM Congressional Science Fellowship October 6 [PS] National Academy of Sciences (Exchange Programs Brown University (Jacob David Tamarkin Assistant with China) [TSA] Professorships) [PS] October 15 Courant Institute (Instructorships in Mathematics) Bunting Institute of Radcliffe College (Science [PS] Scholar Fellowships) [PS] Courant Institute (Postdoctoral Visiting Member Fulbright Scholar in Residence Program [TSA] ships) [PS] Harvard University (Benjamin Peirce Lectureships) October 31 [PS] Kennedy Scholarships [SFN] Indiana University, Bloomington (Vaclav Hlavaty November 1 Research Assistant Professorships) [PS) American-Scandinavian Foundation [TSA] Mathematical Sciences Research Institute [PS) Fannie and John Hertz Foundation Fellowships January 2 [GS] University of Michigan, Ann Arbor (T. H. November 15 Hildebrandt Research Assistant Professorships) Kenneth 0. May Fellowship in the History of [PS) Mathematics [PS] January 15 NSF Mathematical Sciences Postdoctoral Research Dartmouth College (John Wesley Young Research Fellowships [PS] Instructorships) [PS) Weizmann Institute of Sciences (Feinberg Graduate IBM Thomas J. Watson Research Center School Postdoctoral Fellowships) [TSA] (Mathematical Sciences Department Postdoc November 21 toral and Junior Faculty Research Fellowships) [PS) NSF Graduate Fellowships [GS] Institute for Mathematics and its Applications [PS) NSF Minority Graduate Fellowships [GS] Kosciuszko Foundation [GS) [SFN] November 30 Kosciuszko Foundation (Graduate and Post North Atlantic Treaty Organization [TSA] graduate Exchange with Poland) [TSA]
807 • National Research Council (Research Associateship American Society for Engineering Education Programs) [PS) (NASA-ASEE Summer Faculty Fellowships) [PS) Natural Sciences and Engineering Research Council American Society for Engineering Education of Canada (Visiting Fellowships) [TSA) (Navy- and DOE-ASEE Summer Faculty Re Rice University (Griffith Conrad Evans Instructor search Programs) [PS) ships) [PS) American Society for Engineering Education (ONR Rutgers University (Hill Assistant Professorships) Graduate Fellowship Program) [GS) [PS) Minna-James-Heinemann-Stiftung (Research Abroad) • Smithsonian Institution (Predoctoral Fellowships) [TSA) [GS) * Sigma Delta Epsilon, Graduate Women in Science • Smithsonian Institution (Postdoctoral Fellowships) (Grants-in-Aid) [GS) [PS) University of Cincinnati (Charles Phelps Taft University of California, Los Angeles (Earle Postdoctoral Fellowships) [PS) Raymond Hedrick Assistant. Professorships in February 11 Mathematics) [PS) California State Graduate Fellowships [GS) University of Chicago (Leonard Eugene Dickson Instructorships in Mathematics) [PS) February 15 University of Pittsburgh (Andrew Mellon Postdoc University of California, Irvine (Visiting Irvine toral Fellowships) [PS) Lectureship) [PS) January 16 February 28 California Institute of Technology (Harry Bateman Australian Institute of Nuclear Science and En Research Instructorships) [PS) gineering (Research Fellowships) [PS) Fulbright Program (Collaborative Research Grants) Mareh 1 [TSA) American Philosophical Society [PS) National Research Council (Postdoctoral Fellow ships for Minorities) [PS) Mareh 14 January 18 NSF United States-India Exchange [TSA) Committee on Institutional Cooperation March 31 (Minorities Fellowships in the Sciences, Mathe Hubert H. Humphrey Doctoral Fellowships [GS) matics and Engineering) [GS) North Atlantic Treaty Organization [TSA) January 28 April1 National Center for Atmospheric Research American Philosophical Society [PS) (Advanced Study Program) [PS) June 15 January 30 Indo-American Fellowship Program [TSA] Centro de Investigacion del lPN (Solomon Lefschetz Research Instructorships) [TSA) August 1 January 31 American Philosophical Society [PS) Yale University (Josiah Willard Gibbs Instructor August 15 ships) [PS) North Atlantic Treaty Organization [TSA] February 1 August 31 * AAAS Science, Engineering and Diplomacy Fellow Australian Institute of Nuclear Science and En ships [PS) gineering (Research Fellowships) [PS) AAAS Summer Fellowship [GS) September 14 American Philosophical Society [PS) NSF United States-India Exchange [TSA)
808 Classified Advertisements
SUGGESTED USES for classified advertising are books or lecture notes for sale, books being sought, positions available, exchange or rental of houses, and typing services. THE RATE IS $.55 per word with a minimum of $5.00. The same ad in 7 consecutive issues is $3.50 per word. Type will be set solid unless centering and spac ing are requested. A centered line of any length or the equivalent in white space is $5.00. A word is defined as a group of characters with space at each end. Prepayment is required of individuals but not of institutions. For an additional $10.00 charge, announcements can be placed anonymously. Correspon dence will be forwarded.
DEADLINES are listed on the inside front cover.
U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available" advertisements from institutions outside the U.S. cannot be published unless they are accompanied by a statement that the institution does not discriminate on these grounds, whether or not it is subject to U. 5. laws. Details and specific wording may be found following the Classified Advertisements in the january and August issues of the Notices.
SITUATION WANTED advertisements are accepted under terms spelled out on page A-355 of the April 1979 Notices. (Deadlines are the same as for other classi fied advertisements.)
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 are not required to do so.
POSITIONS AVAILABLE MATHEMATICAL SCIENCES CENTRE COLLEGE UNIVERSITY OF OTTAWA (ONTARIO) Tenure-track position beginning january or September Department of Mathematics 1985 for assistant or associate professor, Ph.D. in mathe Applications are invited for a tenure-track position com· matics, to teach in undergraduate mathematics program. mencing July 1, 1985. Rank according to qualifications. Ability to teach computer programming and/or statistics Requirements are a Ph.D. in mathematics and demonstrated courses desirable. Teaching experience preferred. Salary research ability. For this position, ability to teach in English commensurate with background and experience. Excellent and French is a requirement for tenure. fringe benefits. Centre seeks faculty members with a strong Applicants should send a curriculum vitae and arrange for commitment to the liberal arts and to undergraduate teach at least three letters of reference to be sent to: M. Deruaz, ing. E.O.E. Applications, resumes, transcripts, and references Chairman, Department of Mathematics, University of should be sent to Leonard M. Dilillo, Vice President and Ottawa, Ottawa, Ontario, K1 N 9B4. Closing date for appli Dean, Centre College, Danville, Kentucky 40422. cations is December 15, 1984. In accordance with Canadian immigration requirements, THE OHIO STATE UNIVERSITY priority will be given to Canadian citizens and permanent CHAIR IN APPLIED MATHEMATICS residents. The Department of Mathematics of The Ohio State Univer sity has been awarded a Chair in Scientific Computation. This OKLAHOMA STATE UNIVERSITY Chair is funded jointly by the Ohio Eminent Scholars Pro Tenured, Tenure-Track, and Visiting Positions gram and The Ohio State University and has an initial en Several tenured, tenure-track, and visiting positions at all dowment of $1,000,000. professorial ranks for fall, 1985. The minimum qualifications The Department seeks applicants with outstanding creden are a Ph.D. in Mathematics, evidence of research achievement tials in Computational Mathematics and Scientific Computa or potential and a commitment to teaching; preference will tion to fill this Chair. The recipient will hold the academic be given to individuals with post-doctoral or similar experi· rank of Professor of Mathematics and will also serve as the ence. Normal duties include an active program in research Director of a newly established Center of Scientific Compu and a teaching load of at most six hours per semester. In tation. order to receive full consideration, applications, resume, and The University has also committed funds to purchase the three references should be sent by january 15, 1985 to computing equipment required for the center and the Math William jaco, Head ematics Department has allocated four new junior positions Department of Mathematics to be filled by young researchers working in this or closely Oklahoma State University related areas. Stillwater, Oklahoma 74078 Individuals interested in this position should contact Mathematics at Oklahoma State University is an active Professor james M. Greenberg, Chairman department that is undergoing growth and expansion in Eminent Scholar Search Committee research. The Ohio State University O.S.U. is an equal opportunity employer. Female and Department of Mathematics minority applicants are encouraged. 231 West 18th Avenue Columbus, Ohio 43210 ST. OLAF COLLEGE Telephone: 614/422-5255 Applications are invited for 2 tenure track positions at the assistant professor level, beginning September 1, 1984. Tenure-track and visiting positions in mathematics, sta· Ph.D. in mathematics or computer science required. All tistics and computer science are available beginning Septem· areas considered, but special consideration given to candi· ber 1985. Excellent teaching and a commitment to research dates in areas of modern applied mathematics or computer are required. Some three-year instructorships may be open. science. Candidates should have a record of excellence in The department offers B.S. and M.S. degrees in mathematics teaching and a commitment to the liberal arts. St. Olaf and computer science. MTU is a state supported university anticipates two additional leave replacement positions. lndi· emphasizing science and engineering. To apply, write: viduals at any rank who wish to visit for a year are encour Dr. Deborah Frank Lockhart, Acting Head, Mathematical aged to apply. Send a vita and three letters of recommenda and Computer Sciences, Michigan Technological University, tion to Theodore A. Vessey, Chair, Department of Mathe Houghton, Ml 49931. matics, St. Olaf College, Northfield, M N 55057. St. Olaf is Michigan Technological University is an equal opportunity an Equal Opportunity, Affirmative Action Employer. educational institution/equal opportunity employer.
809 POSITIONS AVAILABLE Assistant Professor in Applied Mathematics University of Maryland, College Park Chairperson Department of Mathematics Department of Mathematics & Computer Science and Southwest Texas State University Institute for Physical Science and Technology Southwest Texas State University invites applications for the position of chairperson of the Department of Mathematics The University of Maryland seeks a Ph.D. with outstand ing research potential in applied mathematics for appoint and Computer Science. (Preliminary plans are underway to create a separate Department of Computer Science.) Candi ment as Assistant Professor. The initial three year appoint ment would be joint with the Department of Mathematics dates should have an outstanding record of scholarly research and the Institute for Physical Science and Technology and and high quality instruction as well as related professional would have a one course teaching load per semester. The activities. They must be able to provide strong academic leadership for a diverse department which is involved in both appointment could be continued in the Department of Mathematics with tenure possible at some future time. pure and applied mathematics, mathematical education, and diagnostic testing and placement of students. The Department Applicants should send a vita and a brief description of currently has almost fifty FTE faculty with over 200 majors current work and arrange to have three letters of recom in mathematics and over 500 majors in computer science at mendation sent to either Professor J. R. Dorfman, Director, the bachelors and masters levels. Some 6500 students per Institute for Physical Science and Technology, or Professor semester enroll in the Department's courses; a large number J. E. Osborn, Chairman, Department of Mathematics, Uni of these are in service courses for the School of Business versity of Maryland, College Park, MD 20742. and the School of Education. The University of Maryland is an equal Southwest Texas is a regional university of over 19,000 opportunity, affirmative action employer. undergraduate and graduate students in eight schools. It is located in San Marcos, a friendly residential community of THE UNIVERSITY OF FLORIDA 35,000 located midway between Austin and San Antonio in DEPARTMENT OF MATHEMATICS the hill and lake country of Texas. announces the opening of two new tenure-track assistant The position of chairperson at Southwest Texas State professorships beginning August, 1985. Those applying for is a twelve-month appointment with a rank of associate or these positions should have demonstrable research potential. full professor depending upon qualifications. The current In particular the search committee encourages applications salary range for chairpersons is $52,392 to $55,092. Nom from mathematicians with postdoctoral experience and from inees and applicants should send a letter of intent. a com those whose research interests are compatible with the inter plete vita, and should arrange to have at least three current ests of current department members. Priority areas include letters of reference sent to: algebra/combinatorics, analysis, differential equations, logic, Mathematics and Computer Science Search Committee and numerical analysis/approximation theory. The salaries c/o Dean, School of Science will be highly competitive. Applicants should provide a Southwest Texas State University resume (including a list of publications) and should arrange San Marcos, Texas 78666 for at least three letters of reference to be sent to: The closing date is February 1, 1985. The position will David A. Drake become available no later than September 1, 1985. Chair, Search and Screen Committee Southwest Texas State University is an Affirmative Action, Department of Mathematics Equal Opportunity Educational Institution. University of Florida Gainesville, Florida 32611 DEPARTMENT OF MATHEMATICS UNIVERSITY OF CALIFORNIA University of Wisconsin-Madison, Mathematics Department RIVERSIDE, CALIFORNIA 480 Lincoln Drive, Van Vleck Hall, Madison, WI 53706 Applications are invited for a faculty position in Mathematics The Department of Mathematics solicits applications from beginning September 1985. This position is unrestricted as to mathematicians of established excellence for a possible level of appointment and area of specialization. Candidates tenure-track appointment commencing in the fall of 1985. must have demonstrated research ability and a commitment Salary will be based on the applicant's qualifications and to excellence in teaching at the undergraduate and graduate experience. Applications should be received no later than levels. Candidates should send a vita and arrange for at January 31, 1985 by Professor J. Marshall Osborn, Chairman, least three letters of recommendation to be sent to: Professor Department of Mathematics (address above). The University James D. Stafney, Chair, Search Committee, Department of of Wisconsin is an Equal Opportunity Employer. Mathematics, University of California, Riverside, California 92521. Van Vleck Assistant Professorship in Mathematics The University of California is an Equal Opportunity/Affirma University of Wisconsin-Madison, Mathematics Department tive Action Employer. 480 Lincoln Drive, Van Vleck Hall, Madison, WI 53706 Applications are invited from outstanding mathematicians The Department of Mathematics of the University of (of any age) who are recent recipients of a doctorate. People Colorado invites applications for faculty positions beginning are sought who will interact well with members of the in the fall of 1985. Although these positions are primarily department, who care about teaching, and who can con at the assistant professor level, we also welcome strong tribute to the research and instructional programs. The reg applications at the associate professor level. Preference will ular teaching load is two courses per semester, with at least be given to those whose research would complement the one in the applicant's specialty every other year. There is a interests of our current faculty. Salary range- $24,000 to high probability of additional income through research or $35,000. Applications should be completed by January 1, teaching during summer between consecutive years of 1985, or by March 1, 1985 for any positions not filled appointment. The salary will be dependent on experience from the initial group of applicants. and will be at least $23,500 per academic year. All posi The University of Colorado is an Affirmative Action/ tions are for specified two- or three-year terms. Deadline for Equal Opportunity. Employer. applications is December 31, 1984. Application forms may Inquiries should be addressed to: New Appointments, be obtained by writing J, Marshall Osborn, Chairman (address Department of Mathematics, Box 426, University of above). The University of Wisconsin-Madison is an Equal Colorado, Boulder, CO 80309. Opportunity Employer.
810 POSITIONS AVAILABLE TENNESSEE TECHNOLOGICAL UNIVERSITY Department of Mathematics and Computer Science UNIVERSITY OF IOWA The Tennessee Tech Department of Mathematics and Department of Mathematics Computer Science anticipates having three open tenure Applications are encouraged for anticipated tenure-track, track positions beginning September 1985. tenured positions, and visiting positions at all levels for the ASSISTANT PROFESSOR OF MATHEMATICS academic year 1985-86. Application, vita, and three letters Candidates for this position should have a Ph.D. in Math of recommendation should be sent to Robert H. Oehmke, ematics or Statistics, a strong commitment to teaching at Department of Mathematics, University of Iowa, Iowa City, both the undergraduate and the graduate levels, and a Iowa, 52242. Selections will be based on evidence of the genuine interest in research and scholarly activity. applicants' effective teaching and research achievements INSTRUCTOR and potential; instructional needs of the Department; and OF MATHEMATICS (2) the potential for interaction with the faculty at the research Candidates for these positions should have at least a level. Special attention will be given to applicants in differen master's degree in Mathematics or Statistics, and a dedication tial equations. The selection process will begin on December to teaching undergraduate mathematics. Preference in filling 18, 1984. The University of Iowa is an Affirmative Action one of these positions will be given to applicants with spec and Equal Opportunity Employer and specifically encour ialization in Applied Mathematics or Statistics. ages applications from women and minorities. To apply, send a letter stating which position is being sought, a transcript and a detailed resume, and arrange to UNIVERSITY OF VERMONT- DEPARTMENT OF MATH. have three letters of recommendation sent to: AND STAT., 16 COLCHESTER AVENUE, BURLINGTON, Dr. Leland L. Long, Chairman VT. 05405 Department of Mathematics & CSC One tenure-track Assistant or Associate Professorship starting Box 5054, TTU September 1985. Three year initial appointment, two course Cookeville, TN 38505 teaching load. Ph.D. and teaching experience required. Appli Evaluation of Applicants will begin on February 1, 1985. cation accepted in all areas, but preference will be given to TTU is an Affirmative Actionf.Equal Opportunity Employer. candidates whose research is compatible with department interest: approximation theory, numerical analysis, biomath, EMORY UNIVERSITY applied D.E., control theory, operations research, number Department of Mathematics and Computer Science theory, group theory and combinatorics. Send resume, names Applications are invited for a position as (tenure track) of three references, and description of research plans to: assistant professor with interests in numerical Roger L. Cooke, Chairman. An equal opportunity/affirmative analysis/scien tific computation beginning August 1985. Requirements are action employer. Women and minorities are encouraged to a Ph.D. in mathematics apply. or computer science and a strong research commitment. EMORY UNIVERSITY, located in suburban Atlanta, is en DEAN, SCHOOL OF SCIENCE AND MATHEMATICS larging the faculty of the Department of Mathematics and CALIFORNIA POLYTECHNIC STATE UNIVERSITY Computer Science in response to the growth of both the SAN LUIS OBISPO graduate and undergraduate programs. The teaching environ Applications and nominations are invited through january 15, ment (small classes, able students, no remedial programs) is 1985 for the position of Dean of the School of Science and unusually good. All applications should include a vita, a Mathematics. publication list, and at least three letters of reference. These Qualifications include: a doctorate in one of the school should be submitted to: disciplines (Biological Sciences, Chemistry, Mathematics, Paul Waltman, Chairman Physics, or Statistics); a strong concern for academic excel Department of Mathematics and Computer Science lence; demonstrated evidence of academic leadership; profes Emory University sional achievement; administrative experience; and excellence Atlanta, GA 30322 in teaching. Applications will be reviewed beginning january 1, 1985. Anticipated appointment date is July 1, 1985. EMORY UNIVERSITY is an affirmative action/equal oppor Information and application instructions may be obtained tunity employer. Applications from members of minority from: groups and women are particularly encouraged. Dr. Tomlinson Fort, Jr., Provost California Polytechnic State University EMORY UNIVERSITY San Luis Obispo, California 93407 Department of Mathematics and Computer Science AFFIRMATIVE ACTION/EQUAL OPPORTUNITY/ Tenure-track assistant professor in applied mathematics TITLE IX EMPLOYER (beginning August 1985). A strong background in analysis and good computer skills are required. STATE UNIVERSITY OF NEW YORK AT BINGHAMTON EMORY UNIVERSITY, located in suburban Atlanta, is en The Department of Mathematical Sciences expects to have larging the faculty of the Department of Mathematics and tenure track junior positions open in Fall 1985. A senior or Computer Science in response to the growth of both the visiting appointment is also a possibility. Applications are graduate and undergraduate programs. The teaching environ invited from candidates having excellent research records or ment (small classes, able students, no remedial programs) is potential. All areas of pure and applied mathematics, in unusually good. All applications should include a vita, a cluding computer science, will be considered. The department publication list, and at least three letters of reference. These has considerable computer science responsibilities, so appli should be submitted to: cants with computer science experience, at whatever level, Paul Waltman, Chairman are asked to describe it, Send vita and letters of recommenda Department of Mathematics and Computer Science tion to: Emory University David L. Hanson, Chairman Atlanta, GA 30322 Department of Mathematical Sciences Applications will be reviewed beginning December 1, 1984. State Un'iversity of New York at Binghamton EMORY UNIVERSITY is an affirmative action/equal oppor Binghamton, NY 13901 tunity employer. Applications from members of minority An Equal Opportunity/Affirmative Action Employer groups and women are particularly encouraged.
811 POSITIONS AVAILABLE MATHEMATICS DEPARTMENT UNITED STATES NAVAL ACADEMY LOYOLA COLLEGE ANNAPOLIS, MARYLAND 21402-1385 SCIENCES DEPARTMENT OF MATHEMATICAL Applications are invited for a three year tenure-track appoint 4501 N. Charles Street ment as Assistant Professor commencing August 1985. Ten Baltimore, Maryland 21210-2699 month salary $21,000-$30,000, commensurate with experi· A tenure-track assistant professorship is available for Fall '85. ence and qualifications. Research opportunities exist for Candidates should have a Ph.D. in a mathematical science augmenting salary during sum mer. Specialization in combina with a background in one or several of the following areas: torics or applied mathematics preferred. Applicants must combinatorics, graph theory, mathematical programming, possess Ph.D., have a commitment to excellence in teaching, numerical analysis, computational complexity, or algorithm be capable of pursuing independent research, and have U.S. design. The Department offers a strong undergraduate pro Citizenship. Send inquiries and applications not later than gram in the Mathematical Sciences. Teaching duty is 3 February 1, 1985 to Prof. F. I. Davis, Chairman. Required courses/semester. Moderate amount of research required. of each applicant are a resume, transcripts, and three letters Applicants should submit a current curriculum vitae, three of recommendation discussing applicant's teaching and re letters of recommendation submitted independently of the search. The Naval Academy is an EO/ AA employer. candidate, transcripts of all college and graduate level work, and a copy of at least one recent publication or research Department of Mathematics proposal to: Dr. john Hennessey, Chairman. Resumes re The Ohio State University ceived after December 15, 1984 may not be considered. The Department of Mathematics of The Ohio State Uni Affirmative Action Employer versity hopes to fill several positions at all ranks, both visit ing and permanent, effective Autumn Quarter 1985. Candi LOYOLA COLLEGE dates in areas of applied and pure mathematics are invited DEPARTMENT OF MATHEMATICAL SCIENCES to apply. Significant research accomplishments or excep· 4501 N. Charles Street tiona! research promise and evidence of good teaching Baltimore, Maryland 21210-2699 ability will be expected of successful applicants. A permanent full-time position is available at the Instructor Please send credentials and have letters of recommenda level. Candidate should have a Masters degree in a mathemat· tion sent to Professor Alan Woods, Department of Mathe· ical science and a desire to teach basic undergraduate mathe matics, The Ohio State University, 231 W. 18th Avenue, matics to qualify for this non-tenure track position. The Columbus, Ohio 43210. Review of resumes will begin im college offers a strong undergraduate program in Math Sci mediately. ences. Teaching duty is 4 courses/semester. Applicants should The Ohio State University is an Equal Opportunity/ send vita, three letters of recommendation, and transcripts Affirmative Action Employer. of all college and graduate level work to Dr. john Hennessey, Chairman. Applications received after january 18, 1985 may MICHIGAN TECHNOLOGICAL UNIVERSITY not be considered. HEAD- DEPARTMENT OF MATHEMATICAL Affirmative Action Employer AND COMPUTER SCIENCES We invite applications and nominations for the position of LOYOLA COLLEGE department head. Candidates should have a well-established DEPARTMENT OF MATHEMATICAL SCIENCES reputation in research and scholarship and a special interest 4501 N. Charles Street in applied mathematics, statistics or computer science. A Baltimore, Maryland 21210-2699 commitment to active research and effective teaching is A possible tenure track Assistant Professorship will be avail necessary. The department has 40 faculty members and able for Fall '85. Candidate should have a Ph.D. in Statistics offers B.S. and M.S. degrees in mathematics and computer or some related Mathematical Science with the ability to science. MTU is a state-supported university (enrollment teach basic and upper level Statistics courses. The Department 7000) emphasizing science and engineering. Applicants offers a strong undergraduate program in the Mathematical should send a resume and arrange to have at least three Sciences with concentrations including Statistics and Opera letters of recommendation sent to: MACS Search Committee, tions Research. Teaching duty is 3 courses/semester. Excel c/o Department of Mathematical and Computer Sciences, lence in teaching and a moderate amount of research is re Michigan Technological University, Houghton, Ml 49931. quired. Applicants should submit a current vita, three letters Michigan Technological University is an equal opportunity of recommendation and transcripts of all college and graduate educational institution/equal opportunity employer. level work to Dr. john Hennessey, Chairman. Resumes re ceived after February 20, 1985, may not be considered. UNIVERSITY OF CENTRAL FLORIDA Affirmative Action Employer Department of Mathematics tenure-track and visiting CARNEGIE-MELLON UNIVERSITY Applications are invited for several positions at the Associate or Assistant professor, or Instruc Department of Mathematics tor level, beginning August, 1985. Ph.D. degree with strong Numerical Analysis Position research potential or experience, and dedication to teaching The Department of Mathematics has openings at the required for appointment at associate or assistant level. Assistant Professor level for the Fa!! of 1985. The main Candidates with substantial completion of Ph.D. require area of interest is Numerical Analysis, especially in areas ments will be considered for assistant or instructor level. which complement existing strengths within the Depart Preferred research areas include applied mathematics, ordi ment. These include numerical methods for partial differen nary or partial differential equations, applicable mathemat tial equations with applications to fluid mechanics. Outstand ics, continuum mechanics, and applied analysis. The visiting ing applicants in other areas will also be considered. Salaries, positions are unrestricted as to area of specialization within as well as other conditions of employment, are highly com mathematical 'sciences. Candidate should send a detailed petitive. Interested candidates should send resumes, a copy resume and arrange to have at least three letters of recom· of their transcript and three reference letters to George J. mendation and a transcript sent to: Professor Lokenath Fix, Professor and Head, Department of Mathematics, Debnath, Chairman, Department of Mathematics, University Carnegie-Mellon University, Schenley Park, Pittsburgh, PA of Central Florida, Orlando, Florida 32816, postmarked by 15213. Carnegie-Mellon University is an Affirmative Action/ January 15, 1985. The University is an equal opportunity/ Equal Opportunity Employer. affirmative action employer.
812 POSITIONS AVAILABLE LAMAR UNIVERSITY Department of Mathematics INDIANA STATE UNIVERSITY Three tenure track positions and one Visiting Professor Department of Mathematics and Computer Science ships available in 1985: two in january; two, August. The The Mathematics and Computer Science Department is Department seeks faculty in applied mathematics, statistics, extending its search to fill two Assistant Professor positions and mathematics computer-aided instruction. Salary and beginning either in january or September of 1985. The rank commensurate with qualifications. Expected: Teaching Department has twenty-two full-time faculty members and excellence and commitment to creative, scholarly activities. offers BA and BS degrees in Mathematics and in Computer Visiting Professor will teach two courses each semester and Science, and the MA and MS in Mathematics. Applicants interact with research faculty. Application deadlines: Decem should have a Ph.D., preferably with documented compe· ber 1, 1984, for january positions; February 15, 1985, for tencies in Computer Science. August. Send resume and three letters of recommendation Indiana State University has extensive computing facil to Dr. George Poole, Head, Department of Mathematics, ities, including a CYBER 720, an IBM 4361, two PRIME P.O. Box 10047, Lamar University, Beaumont, TX 77710. 750's and several microcomputer laboratories. The Depart Lamar University is an Equal Opportunity/Affirmative ment operates its own microcomputer laboratory and a Action Employer. VAX-11/750 with both Bell and Berkeley UNIX available. Send vita and three letters of recommendation to: Eminent Scholar in Science: Applications and nominations Dr. Donald F. Reynolds, Chairperson are invited for the Glenwood and Martha Creech Eminent Department of Mathematics and Computer Science Scholar Chair in Science at Florida Atlantic University. This Indiana State University position is supported by a one million dollar endowment Terre Haute, IN 47809 and will be filled at the senior level in the College of Sci Applicants should be U.S. citizens or hold a resident ence, which consists of Departments of Physics, Mathemat visa. Applications received after December 31, 1984 cannot ics, Chemistry, Psychology, Biology, and Geology. Individu be guaranteed consideration. Indiana State University is an als with broad interdisciplinary research interests among the EO/AA employer. traditional science areas as well as computer science are encouraged to apply. Applicants and nominees should have a distinguished STAFF DIRECTOR- academic and research reputation that includes a successful MATHEMATICS record in obtaining contract and grant support. The primary The National Academy of Sciences/National Research Coun responsibilities of the successful candidate will be to signif cil seeks a Staff Director for its Board on Mathematical Sci icantly contribute to the expansion of the research program ences. Extensive working familiarity with research in pure in the College of Science and to provide graduate level and applied mathematics and statistics, and experience with training in his or her field of expertise. study project management are required. Completed applications must be received by january 31, A Ph.D. in a directly relevant field and 7-10 years' relevant 1985. professional experience are strongly preferred. Evidence of Florida Atlantic University is an affirmative action/equal management and communications skills are required. The opportunity employer. incumbent will have responsibility for designing, securing funding for, and managing an important program of studies. THE GEORGIA INSTITUTE OF TECHNOLOGY Please submit resume to: The School of Mathematics expects to have available Dr. Lawrence E. McCray some visiting and tenure-track positions beginning in the fall Associated Executive Director quarter of 1985. Excellent accomplishments or potential in Commission on Physical Sciences, research is required. Applications should be made to the Mathematics, and Resources Director, School of Mathematics, Georgia Institute of Tech National Academy of Sciences/ nology, Atlanta, Georgia 30332. Georgia Tech, a unit of National Research Council the University System of Georgia, is an Equal Opportunity/ 2101 Constitution Avenue, N.W. Affirmative Action Employer. Washington, DC 20418 ARIZONA STATE UNIVERSITY An Equal Opportunity Employer M/F /H Department of Mathematics Applications are invited for anticipated positions at ranks of TRW INCORPORATED Assistant and Associate Professor. There is a possibility of ADVANCED TECHNOLOGY RESEARCH appointments at Professor rank. Visiting positions are also expected. Send vita and direct three letters of recommenda Applications are invited for a position in Mathematics/ tion to Bustoz, Chair, Department of Mathematics, Arizona Computer Science for an individual with at least eight J. State University, Tempe, AZ 85287. A.S.U. is an equal years of industry experience (or a more junior individual opportunity employer. with exceptional academic preparation) for research and project work in multi-level computer security. Special Department of Mathematical Sciences technology experience of relevance includes: guards/down graders, security kernels, communications security, automatic University of North Florida theorem proving, cryptography, artificial intelligence, for Applications arc invited for a Visiting Assistant or Asso mal verification, fault tolerant computing, networking, and ciate Professor for the Spring Semester, 1985 (January-May). data base management. Individual should have a balance The Ph.D. in Mathematics or Statistics is strongly preferred, of hardware and software skills. Individual will have the although others who can teach upper level major courses will opportunity to work in a new, well-equipped MLS labora· be considered. The Department offers the B.A. and B.S. de tory in Redondo Beach, California. Activities have a prod grees in mathematics and statistics, and the M.A. with tracks uct orientation within an overall MLS architecture frame in mathematics, statistics, and computer science. work. TRW, a recognized industry leader in advanced sys Send resume and three letters of recommendation by tems development, is an equal opportunity/affirmative December 3, 1984, to Leonard j. Lipkin, Chairperson, Depart action employer offering competitive benefits and salary ment of Mathematical Sciences, University of North Florida, structure. Send resume to: Dr. B. K. Richard, Advanced 4567 St. johns Bluff Road, jacksonville, Florida 32216. For Technology Manager, TRW-DSG, 02/1305, Redondo Beach, further information, phone (904) 646-2653. An AA/EEO CA 90278. (213) 536-8564. U.S. Citizenship Required. Employer.
813 POSITIONS AVAILABLE UNIVERSITY OF CONNECTICUT, Department of Mathe matics, Storrs, CT 06268. Assistant/Associate/Full Professor UNIVERSITY OF SOUTH ALABAMA tenure track or visiting positions expected to be available Department of Mathematics and Statistics fall 1985. Applications are being accepted for at least one tenure-track Teach courses in mathematics at graduate and under-graduate position at the rank of Assistant Professor. A successful levels. Participate in Department research effort in areas of applicant must possess a Ph.D. in Mathematics. Preferred expertise. Ph.D. in mathematics required. Demonstrated co'm· specialties include differential equations, dynamical systems, mitments to research and to teaching. Preference given to ergodic theory, functional analysis, geometric topology, an applicant with ability and background to contribute to number theory, and numerical analysis. The duties include the development of Department's program in Applied and teaching undergraduate and graduate mathematics courses, Computational Mathematics. Preferred areas of research are and carrying out research or other creative activity. The numerical analysis, combinatorics, coding theory, dynamical appointment will begin September, 1985. Applicants should systems, probability, algorithms or complexity theory. Salary send a detailed resume, transcripts, and three letters of negotiable. Screening begins February 15, 1985. recommendation to Dr. S. Gene Crossley, Chairman, De Contact Howard Roberts, Acting Department Head. Univer partment of Mathematics and Statistics, University of South sity of Connecticut is an equal opportunity/affirmative Alabama, Mobile, AL 36688. Screening will begin on action employer .. February 1, 1985. USA is an equal opportunity/affirmative action employer. 1) Southern Illinois University-Carbondale. Applications are invited for a tenure-track, Assistant Professor, posi The Department of Mathematics and Statistics at Mississippi tion in Statistics in the Department of Mathematics, State University anticipates two or more tenure track posi starting August 16, 1985. Minimum qualifications are a tions at the Assistant Professor level for the 1985 -S6 aca Ph.D. with a strong background in mathematical statis demic year. A Ph.D. is preferred. Responsibilities include tics and broad interests in applied statistics. Closing date teaching and research. Candidates should submit a vita and is December 15, 1984, or until the position is filled. three letters of recommendation to Professor Roger C. Applications plus three letters of recommendation McCann, Chairman Screening Committee, Department of should be sent to Statistics Position; cfo Alphonse Baart Mathematics and Statistics, Mississippi State, MS 39762. mans, Chairman; Department of Mathematics; Southern Screening will begin on December 15, 1984, and continue Illinois University; Carbondale, Illinois 62901. SIU-C is until positions are filled. Mississippi State University is an an Equal Opportunity/Affirmative Action Employer. equal opportunity/affirmative action employer. 2) Southern Illinois University-Carbondale. Applications are invited from qualified candidates for a tenure-track posi IUPUI DEPARTMENT OF MATHEMATICAL SCIENCES tion in the Department of Mathematics, starting August INDIANAPOLIS, INDIANA 46223 16, 1985. Ph.D. in mathematics required. Rank and area The Department of Mathematical Sciences at IUPUI has open. Preference will be given to candidates in Numeri- one or more tenure-track positions at the assistant professor cal Analysis. However, all qualified applicants will be level for August, 1985. The Ph.D. and strong research cre considered. Candidates must have demonstrated evidence dentials are required. Applications are encouraged in all of excellence. in research and potential for such in an areas of the Mathematical Sciences. area of mathematics. Evidence of teaching effectiveness IUPUI offers B.S., M.S., and Ph.D. degrees from Purdue is preferred. Substantial research record is required for University. Salaries are competitive. The fringe benefits appointment at the senior level. Closing date is Decem- package, which includes TIAA, is excellent. Send resume and ber 15, 1984, or until position is filled. Applications three letters of recommendation to: plus three letters of recommendation should be sent to Neal j. Roth man, Chairman Continuing Position; c/o Alphonse Baartmans, Chairman; Department of Mathematical Sciences Department of Mathematics; Southern Illinois University; IUPUI Carbondale, Illinois 62901. SIU-C is an Equal Opportunity f P.O. Box 647 Affirmative Action Employer. Indianapolis, Indiana 46223 3) Southern Illinois University-Carbondale. Applications IUPUI IS AN EQUAL OPPORTUNITY/AFFIRMATIVE are invited for a continuing (tenure-track) position at the ACTION EMPLOYER. Assistant Professor level in the Department of Mathe matics, starting August 16, 1985. Ph.D. in mathematics MATHEMATICS ·required. Area open. Candidates must have demonstrated UNIVERSITY OF MARYLAND BALTIMORE COUNTY evidence of excellence in research and potential for such The UMBC Mathematics and Computer Science Depart in an area of mathematics. Evidence of teaching excel ment invites applications for positions at the assistant, asso lence is preferred. Closing date is December 15, 1984, ciate, or full professor level in Mathematics or Applied or until position is filled. Applications plus three letters Mathematics. Candidates should have Ph.D. in Mathematics of recommendations should be sent to: Asst. Prof. Posi or Applied Mathematics and research and teaching experi tion; c/o Alphonse Baartmans, Chairman; Department ence commensurate with position. The department offers of Mathematics; Southern Illinois University; Carbondale, M.S. and Ph.D. programs in Applied Mathematics, Computer Illinois 62901. SIU-C is an Equal Opportunity/Affirma Science, and Statistics and undergraduate major programs tive Action Employer. in mathematics and computer science leading to the bacca laureate degrees. Current faculty strengths are in analysis ROCHESTER INSTITUTE OF TECHNOLOGY (including probability theory), communication and control, Department of Mathematics operations research, and scientific computing. Candidates Rochester, NY 14623 with strengths in these or supporting areas will be preferred. At least one asst/assoc prof., tenure-track position antici Applications should be received by january 15, 1985. Send pated for Sept., 1985. Ph.D. in math or statistics preferred, a curriculum vita, reprints and/or preprints, names of at MS with extensive applied experience considered. Preferred least three references to: Nam P. Bhatia, Chairman Faculty specialties: Applied prob/stat, or, computational math, graph Recruiting, Department of Mathematics and Computer Sci theory, discrete math. Applicant must have primary interest ence, University of Maryland Baltimore County, Catonsville, in teaching undergrad math, as well as doing some research Maryland 21228. Telephone 301-455-2407. EQUAL OPPOR or consulting. Salary: Competitive, negotiable. Contact: TUNITY/AFFIRMATIVE ACTION EMPLOYER. MINOR· Prof. james Glasenapp, Chairman, Faculty Recruiting Com ITIES AND WOMEN ARE ENCOURAGED TO APPLY. mittee. RIT is affirmative action/equal opportunity employer.
814 POSITIONS AVAILABLE THE CHINESE UNIVERSITY OF HONG KONG Applications are invited for the following post: School of Operations Research and Industrial Engineering, Professor of Mathematics - Applicants should have outstand· Cornell University. ing academic qualifications, considerable university teaching, Applications are invited for a tenured or tenure track research and administrative experience and have published Preference will be given to position beginning Fall, 1985. scholarly works of originality and merit in the discipline. recent Ph.D.'s in theoretical areas related to optimization, combinatorics, game theory, or computation, but applica· Date of Assumption of Duty: August 1, 1985. tions at all levels and in all areas of concern to operations Annual Salary: HK$328,560 or above. (Exchange rate ap· research will be welcome. Applicants should have a Ph.D. proximately: US$1 = HK$7.8, £1 = HK$9.8.) Starting sal· in operations research, mathematics, statistics, computer ary will depend on qualifications and experience. science or related area, show evidence or promise of strong Conditions of Service: Benefits include sick leave, vacation research ability, and be capable of teaching at all levels. leave, long leave with pay, superannuation (University 15%, Please send vita to: Professor Howard M. Taylor, 343 Upson appointee 5%), housing allowance, and for appointees on Hall, Ithaca, New York 14853. AA/EOE overseas terms, passage benefits for themselves and their dependents as well. ILLINOIS WESLEYAN UNIVERSITY Application Procedure: Applications should be made out in BLOOMINGTON, IL 61702 duplicate, giving full particulars, experience and the names The Mathematics Department has a tenure track position for and addresses of three persons to whom reference may be Assistant professor (Ph.D.) or Instructor (near Ph.D.). Respon· made, and sent together with copies of certificates/diplomas/ sibilities: teach undergraduate mathematics (plus some com· testimonials and recent publications to the Personnel Section, puter science). Advancement depends upon good teaching The Chinese University of Hong Kong, Shatin, N.T., Hong as well as research. Salary competitive. Send applications, Kong not later than December 31, 1984. Please quote have three references; write toW. K. Smith, Chairman, reference number 65/509/2/84 and mark 'Recruitment' on Mathematics Department. Deadline: 31 December 1984. cover. Equal opportunity employer. THE CITADEL The Ohio State University Applications are invited for tenure-track positions at the Department of Mathematics assistant or associate level. Teaching responsibilities at all Research Instructorships in Mathematics undergraduate levels of Computer Science and Mathematics. Qualifications include a Ph.D. in Mathematics, Statistics, or Applications are invited for the position of research in· Science with a capacity for research and a dedica structor in mathematics for the academic year 1985·86. Computer teaching. At least one position will be Candidates should hold a Ph.D. (or equivalent) in mathemat· tion to undergraduate who has a strong background in com· ics and show strong research promise. filled with someone Please send credentials and have letters of recommend a· puling. Salary negotiable. Liberal benefits include possible assistance to pursue advanced computer sci tion sent to Professor Alan Woods, Department of Mathe· resources for matics, The Ohio State University, 231 W. 18th Avenue, ence degrees. Columbus, Ohio 43210. The Ohio State University is an The Citadel is a state-supported, liberal arts, military col· Equal Opportunity/Affirmative Action Employer. lege offering undergraduate degrees in the Arts, Sciences, Engineering, Education and Business Administration. Columbia University Please send resume and three letters of reference to Department of Computer Science Charles E. Cleaver, Head, Department of Mathematics and Computer Science, The Citadel, Charleston, South Carolina Lectureships 29409. Applications should be received by February 15, Positions as Lecturer or Senior Lecturer will be offered 1985, to insure consideration. to excellent teachers with superior research and academic backgrounds. Faculty of all ranks in other mathematical HOBART AND WILLIAM SMITH COLLEGES disciplines, as well as computer science, are encouraged to apply for these non-tenured term appointments, whose Department of Mathematics and Computer Science duration will typically be three to six years. Pay is com· Applications are invited for two tenure-track positions, be parable to professorial levels. ginning September 1985. These lectureships provide an opportunity for teacher/ Position 1: Assistant or Associate Professor; Ph.D. in Mathe· scholars with some substantial prior computing experience matics with strong background (preferably a Master's) in to make a transition to computer science. Columbia Univer· Computer Science required; teach all levels of undergrad· sity has an outstanding young research faculty and facilities, uate mathematics and computer science and participate now working in a five-million dollar office and research in the General Curriculum. laboratory building. Lecturers will be encouraged to partie· Position 2: Assistant Professor; Ph.D. in Mathematics with ipate fully in departmental activities. some background and strong interest in Com puler Sci· Lecturers will teach two undergraduate courses each ence required; teach all levels of undergraduate mathe semester. They must be able to make highly effective pre matics and some computer science, and participate in sentations to large classes. The University has several DEC the General Curriculum. 2060 computer systems dedicated to instructional use. For both positions, candidates should have strong commit· Many terminals for students are in dormitories and other ment to excellence in teaching and promise of continued convenient locations. Knowledge of innovative uses of tech· scholarly activity. Teaching load two courses per trimester. nology for teaching is desirable. Salary negotiable and competitive. Send resume and names of three references by February 15, 1985, if possible, to Professor Jonathan Gross, Vice· Applicants should send detailed n\sume, three letters of Chairman, Department of Computer Science, Columbia recommendation (at least one including comments on University, New York, New York 10027. Please write teaching ability), and undergraduate and graduate transcripts "Re Lectureship" on the envelope of your letter of inquiry (photocopies) to: or application. Professor Irving Bentsen, Chairman COLUMBIA UNIVERSITY IS AN EQUAL OPPOR· Department of Mathematics and Computer Science TUNITY/AFFIRMATIVE ACTION EMPLOYER. WE ARE Hobart and William Smith Colleges INTERESTED IN RECEIVING APPLICATIONS FROM Geneva, New York 14456 QUALIFIED WOMEN AND MINORITIES. An Equal Opportunity Employer.
815 POSITIONS AVAILABLE Southern Illinois University-Carbondale. Visiting positions starting August 16, 1985, in the Department of Mathemat THE UNIVERSITY OF ALABAMA ics. Appointments will be at the Lecturer, Visiting Assistant MATHEMATICS DEPARTMENT Professor or Visiting Associate Professor level depending on qualifications. Significant scholarly record required for ap The mathematics department is awaiting the approval of the senior rank. Admission to candicacy re the administration for two new senior positions for mathe pointment at preferred. Applicants should have recommen matics. If approved, we expect to hire at the rank of asso quired; Ph.D. teaching. Research interests compatible with the ciate professor. We invite applications from experienced dations in research interests of our faculty are preferred. The duties mathematicians in applied mathematics with excellent of up to 12 hours of undergraduate mathematics records in research and teaching. We are looking for two will consist instruction each semester (usually 3 courses) and active people who will help us develop our research group and our participation in research seminars of the department. Closing graduate programs in applied mathematics. Applications or date: February 15, 1985, or until positions filled. SIU-C inquiries should be sent to: Alan Hopenwasser, P.O. Box is an Equal Opportunity/Affirmative Action Employer. 1416, University, AL 35486. THE UNIVERSITY IS AN Application, resume and three letters of recommendation EQUAL OPPORTUNITY/AFFIRMATIVE ACTION should be sent to Visiting Positions; c/o Alphonse Baart EMPLOYER. mans, Chairman; Department of Mathematics; Southern Carbondale, Illinois 62901. SYRACUSE UNIVERSITY Illinois University; Department of Mathematics STATISTICS Syracuse University invites applications for a tenure UNIVERSITY OF MARYLAND BALTIMORE COUNTY track position with rank and salary to be determined by qualifications of appointee. Outstanding candidates having The UMBC Mathematics and Computer Science Depart potential for strengthening any existing research area will ment invites applications for positions at the assistant, asso be seriously considered, but preference will be given to can ciate, and full professor levels beginning September, 1985. didates in the broad area of analysis. Potential for excel Candidates should have Ph.D., strong teaching ability and lence in research and teaching is required. For a senior level demonstrable research potential in either mathematical or appointment proven excellence in research and teaching is applied statistics. The department offers M.S. and Ph.D. expected. Send vita and arrange for three reference letters programs in Applied Mathematics, Computer Science, and (also a transcript if recent Ph.D.) to be sent to L. J. Lardy, Statistics and undergraduate major programs in mathematics Chairman, Department of Mathematics, Syracuse University, and computer science leading to the baccalaureate degrees. Syracuse, NY 13210. Syracuse University is an AA/EEO The department has a faculty of about 25 at present. Appli Employer. cations should be received by January 15, 1985. Send a curriculum vita, reprints and/or preprints, names of at THE UNIVERSITY OF ALABAMA IN BIRMINGHAM least three references to: Nam P. Bhatia, Chairman Faculty DEPARTMENT OF MATHEMATICS Recruiting, Department of Mathematics and Computer Science, University of Maryland Baltimore County, Catons Applications arc invited for tenure track positions in the ville, Maryland 21228. Telephone 301-455-2407. EQUAL Department of Mathematics. Applicants with research in any OPPORTUNITY/AFFIRMATIVE ACTION EMPLOYER. area are welcome, but mathematicians with major research MINORITIES AND WOMEN ARE ENCOURAGED TO interests in the areas of dynamical systems, mathematical APPLY. ph~sics, nonlinear analysis on Riemannian manifolds, differ ential topology-geometry and nonlinear differential equa tions are particularly encouraged to apply. Successful appli SOUTHWEST TEXAS STATE UN IV., DEPT. OF MATH/CS, One or more assist. or assoc. cants will be expected to be strong or promising researchers, SAN MARCOS, TX 78666. 1985. Possibility of good teachers, and to significantly interact with other mem professorships expected for fall (or equiv.) and potential bers of the department. Rank and salary are open. The tenure track appointments. Ph.D. Limited teaching load for research faculty normally does not exceed for excellence in research and teaching required. math., computer science, two courses per term. Fringe benefits are excellent. Appli to those in math. ed., applied or p.d.e.), dynamical systems. Contact cants should send resume and three letters of recommenda diff. eq. (o.d.e. University, San Marcos, tion to Roger T. Lewis, Department of Mathematics, Univer Chairman, Southwest Texas State 2/1/85, late applications sity of Alabama in Birmingham, Birmingham, AL 35294. TX 78666. Application deadline: is an equal opportunity/ This information should be received by January 1, 1985, considered if openings exist. SWTSU action employer. but will be considered until position is filled. UAB is an affirmative Affirmative Action/Equal Opportunity Employer. SOUTHWEST TEXAS STATE UNIV., DEPT. OF MATH/CS, UNIVERSITY OF CALIFORNIA, SANTA BARBARA SAN MARCOS, TX 78666. One or more non-tenure track for fall 1985. Master's degree in DEPARTMENT OF MATHEMATICS instructorships expected mathematics or computer science and potential for excel 1985-1986 UCSB Department of Mathematics has designated lence in teaching required. Contact Chairman, Department applications as a special year in minimal surfaces and their of Mathematics and Computer Science, Southwest Texas The department anticipates to low-dimensional topology. State University, San Marcos, TX 78666. Application dead appointments of candi making up to four visiting faculty line: 2/1/85. Late applications considered if openings exist. mathematics, a commitment to dates possessing a Ph.D. in Southwest Texas State University is an equal opportunity f in minimal excellence in teaching, and research expertise affirmative action employer. surfaces or low-dimensional topology. A number of dis tinguished visitors are expected to be in residence for vari ous time periods during the year. Applicants should send COMPUTER SCIENCE vitae and publication Jist, and should arrange for three Tenure-track faculty position beginning January, 1985. Re letters of recommendation to be sent to: sponsibilities- undergraduate teaching (12 semester hours Professor James Robertson, Chairman per semester) in a program leading to a B.A. or a B.S. in Department of Mathematics Computer Science. Required: M.S. in Computer Science. University of California Rank and salary dependent on qualifications and experience. Santa Barbara, CA 93106 Send resume, three letters of reference and graduate tran Applications will be accepted until January 15, 1985, or scripts prior to November 22, 1984 to Personnel Coordina until the positions are filled. UCSB is an affirmative action/ tor, St. Ambrose College, 518 West Locust Street, Daven equal opportunity employer. port, Iowa 52803. EQUAL EMPLOYMENT OPPORTUNITY.
816 POSITIONS AVAILABLE COMPUTER SCIENCE UNIVERSITY OF MARYLAND BALTIMORE COUNTY THE UNIVERSITY OF ALABAMA The UMBC Mathematics and Computer Science Department DEPARTMENT OF MATHEMATICS anticipates having several tenure-track and tenured faculty The Mathematics Department expects to have at least four positions at the assistant, associate, or full professor level tenure-track positions beginning August 16, 1985. Rank and beginning September 1985. Candidates should have Ph.D. in salary will depend upon qualifications. A Ph.D. (or the computer science or in a closely related field, demonstrable equivalent) is required. Applications in all areas will be con research potential, and strong ability to teach a broad range sidered. Areas of particular interest include Algebra, Ap of basic computer science courses and graduate courses in plied Mathematics, Differential Equations, Topology and one's field of specialty. The department offers M.S. and Analysis. At least three letters of recommendation which Ph.D. programs in Applied Mathematics, Computer Science, address teaching and research should be sent to the depart and Statistics and undergraduate major programs in mathe ment. Send a curriculum vita and reprints/preprints to: matics and computer science leading to the baccalaureate A. Hopenwasser, P.O. Box 1416, University, AL 35486. degrees. Application should be received by january 15, 1985. THE UNIVERSITY OF ALABAMA IS AN EQUAL OP Send a curriculum vita, reprints and/or preprints, name of PORTUNITY/AFFIRMATIVE ACTION EMPLOYER. at least three references to: Nam P. Bhatia, Chairman of Faculty Recruiting, Department of Mathematics and Com DEPARTMENT HEAD puter Science, University of Maryland Baltimore County, DEPARTMENT OF MATHEMATICAL SCIENCES Catonsville, Maryland 21228. Telephone 301-455-2407. Purdue University Calumet seeks applicants for the position EQUAL OPPORTUNITY/AFFIRMATIVE ACTION EM of Head of the Department of Mathematical Sciences, which PLOYER. MINORITIES AND WOMEN ARE ENCOURAGED is responsible for Mathematics, Statistics, and Computer TO APPLY. Science. A doctorate in one of these areas is required. Ap plicants should have a successful record of teaching and re FACULTY POSITION IN MATHEMATICS search, and qualify for appointment as Professor or Asso FLORIDA INTERNATIONAL UNIVERSITY ciate Professor. Substantial interpersonal and administrative The Department of Mathematical Sciences at Florida Inter skills are required. national University announces tenure-track positions at all Duties include administration of a Department of twenty, levels beginning in january and/or August, 1985. Candi teaching appropriate courses, and leading the continuing dates must have a Ph.D. in Mathematics, research poten development of programs in applied mathematics and com tial, and demonstrated teaching ability. Teaching load is puter science. The Department currently offers a variety of fifteen semester-hours per academic year; summer teaching programs at the Baccalaureate and Master's Degree levels. available. Preferred areas of specialization include harmonic Salary is open and competitive. TIAA/CREF is included in analysis, algebra, and mathematical logic; qualified candi an excellent fringe-benefit package. dates in other areas will be considered. Send resume and The campus serves nearly eight thousand commuter students three letters of reference to Dr. David Barton, Mathemat at a suburban location in Northwest Indiana, approximately ics Recruitment, Department of Mathematical Sciences. 45 minutes from downtown Chicago. Florida International University, Miami, FL33199. F.I.U. is a member of the State University System of Florida Applicants should forward a resume and the names of three and an equal opportunity /affirmative action employer. references by January 25, 1 985 to: Professor D. j. Troy, Chairperson UNIVERSITY OF CENTRAL FLORIDA Department Head Selection Advisory Committee Department of Mathematics Department of Mathematical Sciences Purdue University Calumet Applications are invited for several tenure-track and visiting Hammond, Indiana 46323 positions at the Associate or Assistant Professor, or In structor level, beginning August, 1985. Ph.D. degree with Telephone (219) 844-0520, ext. 273 strong research potential or experience, and dedication to Purdue University Calumet is an Equal Opportunity/Affirm teaching required for appointment at associate or assistant ative Action Employer. level. Candidates with substantial completion of Ph.D. requirements will be considered for assistant or instructor CHAIRPERSON level. Preferred research areas include applied mathematics, DEPARTMENT OF MATHEMATICS ordinary or partial differential equations, applicable math WEST VIRGINIA UNIVERSITY ematics, continuum mechanics, and applied analysis. The Applications and nominations are invited for the position visiting positions are unrestricted as to area of specializa of Chairperson of the Department of Mathematics at West tion within mathematical sciences. Candidate should send Virginia University. The Chair is the chief administrative a detailed n!sume and arrange to have at least three let officer of the department. The search is for a person who has ters of recommendation and a transcript sent to: Professor a strong research record, a commitment to excellence in in Lokenath Debnath, Chairman, Department of Mathematics, struction, and the ability to provide scientific and adminis University of Central Florida, Orlando, Florida, 32816, trative leadership of the 35-member department, which postmarked by january 15, 1985. The University is an offers B.S. and M.S. degrees. equal opportunity/affirmative action employer. West Virginia University is the state's sole comprehensive, land-grant, doctoral institution with an enrollment of 20,000 UNIVERSITY OF CALIFORNIA, LOS ANGELES students. The Department of Mathematics is part of the DEPARTMENT OF MATHEMATICS College of Arts and Sciences. Three or four E. R. Hedrick Assistant Professors. Appli A complete application consists of a vita and the names cants must show strong promise in research and must have and addresses of at least four references. Applications will received the Ph.D. after 1 January 1984 (but may be of be received until the position is filled but should arrive bv any age); no restrictions as to field; salary $30,800. Three February 1, 1985, to insure consideration. . year appointment; research supplement of $3,400 first Applications and nominations should be addressed to summer. Teaching load: Four quarter courses per year, in Dr. Emory Kemp, Chair, Mathematics Department Chair cluding one advanced course in candidates field. Deadline Search Committee, 201 Woodburn Hall, West Virginia Uni for applications is january 15, 1985. To apply, write to versity, Morgantown, West Virginia 26506. Yiannis N. Moschovakis, Chair, Los Angeles, CA 90024. West Virginia University is an Affirmative Action/Equal UCLA is an equal opportunity affirmative action em Opportunity Employer. ployer.
817 POSITIONS AVAILABLE UNIVERSITY OF CALIFORNIA RIVERSIDE LAWRENCE UNIVERSITY Faculty Position in Computer Science DEPARTMENT OF MATHEMATICS Applications are invited for a tenure-track position in Com Tenure-track position at the assistant professor level puter Science beginning with the 1985-86 academic year. starting fall 1985. The Department seeks candidates special Applicants must have a Ph.D. in Computer Science and a izing in graph theory or combinatorics, but will consider demonstrated commitment to teaching and research. Candi especially strong candidates in any area. Lawrence is a lib· dates from all areas of specialization in Computer Science eral arts college with a national reputation, small classes, will be considered. and excellent students. Teaching load two courses each ten week term. Salary competitive. Send resume, transcripts, Rank and salary are open; candidates for senior rank must and three or four supporting letters to Bruce Pourciau, have leadership ability and a proven research record. Chairman, Department of Mathematics, Lawrence University, The Computer Science program at Riverside is housed in the Appleton, WI 54912. These letters should provide specific well-established Department of Mathematics, which offers evidence on the candidate's potential for outstanding under bachelor's, master's, and doctoral degrees in Mathematics as graduate teaching and continued research. Deadline january well as the B.S. and M.S. in Computer Science. The Depart 20 but application by December 20 makes possible an inter ment owns four VAX 11 /750s and various microcomputers. view at the january AMS meeting. Equal Opportunity General campus facilities include an IBM 4341-2, a PRIME Employer. 750, and two VAXs. To apply, send resume with names of three references to: FACULTY POSITION Professor Theodore j. Barth, Chair UNIVERSITY OF LOUISVILLE Computer Science Search Committee DEPARTMENT OF MATHEMATICS Department of Mathematics and Computer Science The University of Louisville, Department of Mathematics, is University of California Riverside, CA 92521 seeking a junior level person. Candidates should have an active research program and other scholarly interests, an The University of California is an Equal Opportunity/ interest in undergraduate and graduate (Master's and Ph.D.) Affirmative Action Employer. program development. Doctorate in Mathematics required. Depending upon experience, appointment will be at Assistant DEPARTMENT OF MATHEMATICS or Associate Professor level. Interested candidates should UNIVERSITY OF TORONTO send letter of application with vitae, official transcripts, and Applications are invited for two limited term Assistant Pro at least three letters of recommendation to Dr. Michael S. fessorships, beginning july 1, 1985, for a term of up to jacobson, Vice Chair, Department of Mathematics, University three years. Duties consist of research and teaching and can· of Louisville, Louisville, KY 40292. Consideration will begin didates must demonstrate clear strength in both. on December 1, 1984, and continue until position is filled. Applications should be sent to Professor S. Halperin, Asso AA/EOE. ciate Chairman, Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 1 A 1, and should UNIVERSITY OF MASSACHUSETTS AT AMHERST, include a complete curriculum vitae, and the names of at CENTER FOR APPLIED MATHEMATICS AND MATHE least three references. The deadline is February 1, 1985. MATICAL SCIENCE In accordance with Canadian Immigration requirements, Subject to budgetary limitations, the Center, in conjunc this advertisement is directed to Canadian citizens and per tion with the Department of Mathematics and Statistics, manent residents. expects to have tenure-track positions in Numerical Analysis/ Scientific Computation/Analysis beginning Fall 1985, rank UNIVERSITY OF CALIFORNIA, LOS ANGELES to be determined by qualifications. Candidates with a prom DEPARTMENT OF MATHEMATICS ising research record and a keen interest in pursuing re Subject to administrative approval, a few assistant profes search and teaching in applied math in an expanding scien sorships, with special attention given to candidates in tific environment should apply by February 15, 1985, to applied mathematics, algebraic number theory/modular Georgette Healy, Coordinator, Center for Applied Mathe forms, several complex variables and topology. Strong re matics and Mathematical Science, 1521 B Led erie G RC, search and teaching background required. Sufficiently out University of Massachusetts, Amherst, MA 01003. standing candidates in other fields and/or at higher levels The University of Massachusetts is an Affirmative Action/ will also be considered. Salary $26,600 for academic year. Equal Opportunity Employer. Teaching load: Five quarter courses per year. Also several positions for visitors and lecturers. To apply, write to THE DEPARTMENT OF MATHEMATICS, UNIVERSITY Yiannis N. Moschovakis, Chair, Los Angeles, CA 90024. UCLA is an equal opportunity affirmative action em OF CALIFORNIA, SANTA BARBARA invites applications ployer. for the KY FAN ASSISTANT PROFESSORSHIP. The KY FAN Assistant Professorship is a special two-year position which carries a research stipend. Candidates should possess UNIVERSITY OF KANSAS a recent Ph.D. degree in mathematics or expect to receive Applications are invited for tenure-track and temporary one prior to September 1985. Selection will be based pri positions at all levels, commencing 8/16/85 or as negotiated. marily on demonstrated research achievement. Teaching Field is unrestricted but preference will be given to numer experience is desirable. Teaching load will consist of four ical analysis, probability/statistics, algebra, and to areas to five quarter courses per year including graduate seminars meshing well with the department's needs. Require Ph.D. in candidate's field of interest. To apply, have at least three or Ph.D. dissertation accepted with only formalities to be letters of reference, vita and publications sent to the "Fac completed. Send detailed resume with description of re ulty Search Committee", Department of Mathematics, search; arrange for three letters of recommendation to be University of California, Santa Barbara, CA 93106. We ex sent directly to C. j. Himmelberg, Chairman, Department pect the candidate to have referees write to us directly. of Mathematics, University of Kansas, Larwence, KS 66045- All applications received by january 15, 1985 will be given 2142. Deadline date: 12/1/84 for first consideration; then thorough consideration. UCSB is an Equal Opportunity/ monthly until 8/20/85. University of Kansas is an Affirma Affirmative Action Employer. tive Action/Equal Opportunity Employer.
818 POSITIONS AVAILABLE CLEVELAND STATE UNIVERSITY. DEPARTMENT OF MATHEMATICS, 1983 E. 24th St., Cleveland, OH 44115. Eastern Kentucky University 2 tenure track positions for 1985 (subject to budgetary Applications are invited for the position of Chair, Depart approval). Rank open. Preference will be given to candidates ment of Mathematics, Statistics, and Computer Science. in numerical analysis, partial differential equations, opera Qualifications include a Ph.D. in Mathematics, Statistics or tions research, statistics, or other applied areas. Field is Computer Science; at least seven years teaching experience, open for the other position but preference will be given to in the mathematical sciences, at the college/university level; candidates in fields compatible with current research inter and evidence of scholarly activity. At least three years of ests of the department. PhD with established record and/or the teaching experience must be at the rank of Assistant strong potential in research required. Commitment to excel Professor or above. Administrative experience and knowl lence in teaching necessary. Department offers course through edge of academic programs in Mathematics, Statistics, and the Master's level. Normal teaching load of 2 courses per Computer Science are desirable. Send a letter of application, quarter. Application deadline Jan. 4, 1985. Late Applica detailed resume, graduate transcripts, and three letters of tions cannot be guaranteed full consideration. Send curricu recommendation by January 21, 1985 to: lum vitae and at least 3 letters of recommendation to: Search Committee T. W. Hungerford, Chairperson, Department of Mathematics. Department of Mathematics, Statistics and An equal opportunity employer m/f /h. Computer Science Wallace 402 CARNEGIE-MELLON UNIVERSITY Eastern Kentucky University Department of Mathematics Richmond, KY 40475-0959 Logic and Discrete Mathematics Position EKU is an Equal Opportunity, Affirmative Action Employer. The Mathematics Department expects to have one tenure track position at the Assistant Professor level available in Dept. of Math. Murray State University, Murray, Ky. 42071 the Fall of 1985. Preference will be in the areas of applied Applications are encouraged from persons in all areas of logic and discrete mathematics; candidates should be pre Mathematics for tenure-track positions beginning Aug. 1985. pared to teach courses in logic, combinatorics, and graph Selections will be based on evidence of applicants' teaching theory which support the Department's undergraduate track effectivemess and research achievements or potential. Special in computer science. In exceptional circumstances, an attention will be given to applicants in areas of applied appointment at a higher level will be considered. Interested mathematics, especially statistics. The selection process will candidates should send resumes, a copy of their transcript, begin immediately and end when the positions are filled. and three reference letters to Professor George J. Fix, Head, Application letter, vita, and three letters of recommendation Department of Mathematics, Carnegie-Mellon University, should be sent to: Schenley Park, Pittsburgh, PA 15213. Carnegie-Mellon Donald Bennett University is an Affirmative Action/Equal Opportunity Chairman Employer. Department of Mathematics Murray State University UNIVERSITY OF KANSAS Murray, Ky. 42071 Anticipate several instructorships beginning Fall semester MSU is an equal opportunity/affirmative action employer. 1985, which are normally renewable for second and third year. Salary to be determined. Research interests should CARNEGIE-MELLON UNIVERSITY be in areas closely related to those of current staff. Ph.D. Department of Mathematics or dissertation accepted with only formalities to be com pleted. Send detailed resume and dissertation abstract; Operations Research Position arrange for three letters of reference to be sent directly to The Mathematics Department expects to have one tenure C. J. Himmelberg, Chairman, Department of Mathematics, track position at the Assistant Professor level available in University of Kansas, Lawrence, KS 66045-2142. Deadline the Fall of 1985. Preference will be in the general area of date: 12/1/84, then monthly until 8/20/85. operations research. Candidates for this position should University of Kansas is an Affirmative Action/Equal Op have a strong mathematical background and research inter portunity Employer. ests in one or more of the following areas: mathematical programming, applied probability, convex analysis; candi dates should be prepared to take an active part in the UNIVERSITY OF SOUTH FLORIDA Department's undergraduate and graduate teaching efforts Department of Mathematics in operations research. In exceptional circumstances, an Tenure-track teaching and research positions are anticipated appointment at a higher level will be considered. Interested candidates should send resumes, a copy of their transcript, beginning August, 1985. Applicants must possess a Ph.D. and three reference letters to Professor George J. Fix, Head, degree. Applicants specializing in Approximation Theory, Department of Mathematics, Carnegie-Mellon University, Computer Science, Numerical Analysis, Probability, or Schenley Park, Pittsburgh, PA 15213. Carnegie-Mellon Statistics are preferred. Rank and salary will depend on ex University is an Affirmative Action/Equal Opportunity perience. To apply send resume to Kenneth Pothoven, Employer. Chairman, Tampa, FL 33620. The University of South Florida is an equal opportunity employer. Chairperson - Department of Mathematics. East Tennessee State University. POSITIONS IN MATHEMATICS Applicants must have a Ph.D., an established record of re Applications are invited for faculty positions in mathematics, search, a commitment to quality education, and demon applied mathematics and statistics. Rank and salary depend strated administrative and leadership ability. Position avail on experience and qualifications. A strong research record able August 1, 1985. A vita and three letters of recommen or potential and a dedication to teaching are required. dation should be sent to Personnel Office, Box 24070A, Resume and four letters of recommendation should be sent ETSU, Johnson City, Tennessee 37614. Review of applica to: tions will begin on January 2, 1985 and will continue until Dr. William T. Trotter, Jr., Chairman the position is filled. An Equal Opportunity, Affirmative Department of Mathematics and Statistics Action Employer (M/F). University of South Carolina, Columbia, SC 29208 AA/EOE
819 POSITIONS AVAILABLE 1985 MATHEMATICAL CALENDAR The history of some common mathematical symbols. A UNIVERSITY OF CALIFORNIA, LOS ANGELES Pandect of Pi. Transcendental Poker. Quotes, poems, humor DEPARTMENT OF MATHEMATICS cartoons, biographies. 28 pages, 1 0" by 12.5". Postpaid US and Canada: $7.25 in US funds; Foreign: $10.75. Subject to administrative approval, a few adjunct assis prices: Visa accepted. ROME PRESS, Box 31451, tant professorships; two year appointment only; strong MasterCard and NC 27622. research and teaching background; no restriction as to field. Raleigh, Salary $26,600 for academic year. Teaching load: Five quarter courses per year. To apply, write to Yiannis N. Mathematics Colloquium of the University of Cape Town, Moschovakis, Chair, Los Angeles, CA 90024. Vol 13 (1984). 120 pages including papers by Hanno Rund UCLA is an equal opportunity affirmative action em and Ross Street. US $5.00 includes surface mailing. Order ployer. from Department of Mathematics, University of Cape Town, Rondebosch 7700, Republic of South Africa. FOR SALE BOOKS BEING SOUGHT MR. MATRIX is matrix manipulation software for the IBM PC. It can multiply, invert, transpose, and keep track of up I'm trying to locate the following three books by A. A. to 25 matrices. It can handle matrices with real or complex Fraenkel: Abstract Set Theory, First Edition, 1953; Found entries, or with entries in (some) finite fields. MR. MATRIX ations of Set Theory, First Edition, 1958; Axiomatic Set can also test whether matrices are orthogonal, unitary, or Theory, 1968. (All North-Holland). Please contact: Jacob symplectic. Price: $20. Polygonal Publication House, 21 0 Salamon, 1228 Georgian Terrace, Lakewood, NJ 08701. Broad Street, Washington NJ 07882. SPECIAL ANNOUNCEMENT MATH SCI PRESS, 53 Jordan Rd., Brookline MA 02146, 617-738-0307. Just published: Proceedings of the Berkeley The third annual William H. Roever lectures in Geometry at Ames Conference on Nonlinear Problems in Control and Washington University in St. Louis will be given by I. M. Fluid Dynamics, L. R. Hunt and C. F. Martin, (Eds.), 450 Singer, John D. MacArthur Professor of Mathematics at MIT. pages, $50. (Lie Groups; Systems Information and Control, Interpretation of vol. II). Topics in the Geometric Theory of Linear Systems, The lectures are entitled The Geometric and will be given daily by Robert Hermann, $50. (Interdisciplinary Mathematics, Anomalies in Quantum Field Theory vol. 22). In press: Topics in the Geometric Theory of Inte from January 14-18,1985. grable Systems, by Robert Hermann. Special Sale: Develop For further details please contact Professor William M. ment of Mathematics in the 19th Century, by Felix Klein, Boothby, Department of Mathematics, Washington University, $20. Write or call for other special prices on back list. St. Louis, MO 63130, (314) 889-6760.
Positions Available, Air Force Office of Scientific Research The Mathematical Sciences Directorate of the Air Force Office of Scientific Research in Washington, D. C., is looking for several ex perienced research mathematicians to work with the Directorate. These persons will have an opportunity to help shape the programs of re search in applied mathematics, which include ap plied analysis, computational mathematics, finite mathematics, mathematics of communication and signal processing, and related areas. The posi tions, which maintain employment status and benefits in the researcher's home institution, are under the Intergovernmental Personnel Act, and are similar to the "rotator" positions at NSF. Ap pointments are expected to begin between June 1 and September 1, 1985. They are usually for one year, and may be extended to up to two years. For information please contact David Fox, Director, Mathematical Sciences, Air Force Office of Scientific Research, Bolling Air Force Base, Washington, D. C., 20332. (202-767-5025)
820 THEORY IN GRAPH REVIEWS
Society, Mathematical Reviews American Book G. Brown, by William is al Theory, edited what in Graph IV (paperback). is to determine theory Reviews I, II, III, researcher in graph any difficult American 1980. Volumes tasks facing particularly the foremost task is Of course publishing one of the This such work. years by Certainly his problem. that publish for many has been known about periodicals a great service search problem need ready are many literature one would as there been performing this then have to research has a large extent graph theory, would Society Thus to in one Brown Mathematical Reviews. interested In addition, William G. is specifically to the present. problem. of Re Mathematical if one in 1940 to his edition solved. However the start the references paperback Reviews from to find a four-volume Mathematical the volumes "hunting" of useful tools all deal of by publishing 56 volumes handy and a great for everyone the first the most do that job covers are are. has done Theory, which paperbacks they in Graph by 10-inch how worthwhile such views These 7-inch explains utility of could own. volumes key to the the con (1940-1978). theorist these four Clearly the looking at any graph alone of by The entire that content further comments. obvious process. Perhaps the a few It becomes I shall make scheme. to the classificationand 530 subcategories.that However, is the classification of thought categories headings great deal 27 major the chapter such a a compendium gave a down into many of to compile that Brown is broken with tried to tents theory and agree people who very foolish of graph well chosen any two it seems subject topics are Since answers, is excellent. major graph theory. at different of categories category These books on arrive the choice a general finds in probably think that contain index. one topics would I do volumes and a subject of major However, the four index conference list the choice. subjects, is an author on graph theory There on collections, "informa comment to these information section on In addition and bibliographies. gives extensive books index which is an which includes a "key" There few months contains and obituaries. the past Also it lists, comments. during I recommend problem for readers four volumes me, and Re proceedings, and a form these tool for value. reader" in using important as to their one tion for the experience a very abound in personal become Examples problem was My own They have them. as an unsolved I delight. own was given for something is that of theory researcher that the result graph to a question I needed that every answer Since cross references. I found the books. easily. use the cently graph theory it so to numbered famous to have found in learning I the review of the pleased the difficulty of Volume as 37#5124. I was very find was 222 identified to doing, I could 054 on page paper only author index only fault category related in the minor The subject author's had to look is a very in to an I But this say that For example, the reader its location. 290. I would refers regarding subject category therefore, 46#5177 is given located in summary, information work was In tool. No this other what I wanted. an indispensable find that I did find and since well organized Boesch complaint are very periodically. F. T. four volumes be updated these they will I hope that
14 (19841173-179 Vol. Inc. NE1WORKS, & Sons, Sons, Inc. John Wiley Wiley & © 1984 of John with permission Reprinted
pages l" Price $3 $240 . . . m $120 Code: REVG 2,035 ' rst oo, Institutional member ' lndrvrdual ember • Ordering RAPH!N
. is requ· Ameri So p 0 157 Stat' Prepayment from Mathematical Clety • · Box 1' Annex •on, Rl ~'fg~1?'der call toltC:n BOO 5 t ' With v· or Mastereard. Providence, 1571, or rree • 56-7774 0 charge •sa
821 MATH FILE -Mathematical Reviews Online
MATHFILE is the online database of Mathematical Reviews (MR) produced by the American Mathematical Society. It provides essentially complete worldwide coverage of mathematics as well as mathematical applications in other fields such as statistics. physics. engineering. computer science. biology and operations research. MATHFILE provides excellent and quick access to the international mathematical research literature. Using Boolean logic. one can identify and intersect mathematical terms and concepts. authors. publishers. journals. and AMS classifications. to produce research information. bibliographies. statistics. etc .. about mathematics and related subjects. Information published in MR since 1973 is contained in MATHFILE. including the full text of the reviews beginning with July 1979. MATHFILE is available electronically through online vendors DIALOG. BRS and ESA-IRS. Communicate with the vendors directly to establish accounts. Costs to use MATHFILE vary with the vendor. Connect time charge is approximately $60/hour. Professional librarians access the online systems daily and can perform most searches within 5 to 10 minutes. Low-cost. simplified. evening and weekend systems designed for personal computer users are now available from BRS and DIALOG. BRS/After Dark costs $13/hr with a minimum monthly charge of $12 and a start-up fee of $75. DIALOG's Knowledge Index costs $24/hr. has no monthly minimum and the first two hours are free. The start-up fee is $35.
DIALOG Information Services BRS and BRS/ After Dark ESA-IRS 3460 Hillview Ave. Bibliographic Retrieval Services ESRIN Palo Alto, CA 94304 1200 Route 7, Latham. NY 12110 Via Galileo Galilei (800-227-1960 or (800-833-4707 or 00044 Frascati (Rome). Italy 800-982-5838 in California) 518-783-1161 in New York) Telephone: (06) 94011 Telex 610637 esrin i MATHFILE User's Guide. This 360-page loose-leaf Guide. which is updated as necessary. is designed to help the user access information more quickly and efficiently. $65 list and $52 for AMS members. See the AMS catalogue for more information. Document Delivery Service. Mathematical Reviews is offering a document delivery service which will provide copies of original articles reviewed in MR. Users of MATH FILE may place orders online through DIALOG (Dialorder). BRS (electronic mail). or directly with Mathematical Reviews (by mail or telephone). Requests to MR will be filled and mailed within 48 hours of receipt. If MR cannot fill the order. it will be forwarded to an appropriate library for possible inter-library loan. For each article requested, the first 10 pages or fewer will cost $12. Additional pages beyond the first 10 will be $2 for 10 pages or fewer. Copyright royalties will be added in compliance with Copyright Clearance Center regulations. For more information: MATHFILE and user aids Document Delivery and MR Taissa T. Kusma Bonita D. Ross Database specialist Librarian. Mathematical Reviews American Mathematical Society 611 Church Street. P.O. Box 8604 201 Charles Street. P.O. Box 6248 Ann Arbor. Ml 48107 Providence. Rl 02940 (313) 764-7228 (401) 272-9500 or (800) 556-7774
822 INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS UNIVERSITY OF MINNESOTA STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS August 16, 1985- August 15, 1986 Organizing Committee: Daniel Stroock (Chairman), Wendell Fleming, Theodore Harris, Pierre-Louis Lions, Steven Orey, and George Papanicolaou. (See the article in the October issue for a description of the program.) ***VISITING MEMBERSHIPS AVAILABLE*** POST-DOCTORAL MEMBERSHIPS will carry a stipend of $30,000 (including a relocation allowance) for the 12 month period beginning August 16, 1985. All requirements for a doctorate should be completed by this date. OTHER SUPPORT is available. Preference will be given to supplementary support for persons with sabbatical leaves, fellowships, or other stipends. Applicants must show evidence of mathe matical excellence, but they do not need to be specialists in the field or even "applied mathematicians". The following materials must be submitted: ( 1) Personal statement of scientific interests, research plans, and reasons for wishing to partici pate in the Institute program. (This is an essential part of the application.) (2) Curriculum vitae including a list of publications. (3) Three letters of recommendation. All material should be received by January 15, 1985. All correspondence should be sent to: Hans Weinberger, Director - Institute for Mathematics and its Applications University of Minnesota - 514 Vincent Hall - 206 Church Street SE Minneapolis, MN 55455, U.S.A. - Telephone: (612) 373-0355 The University of Minnesota is an equal o~p·o;tt;ni~y" edu•c;to•r ~nd employer and specifically invites and encourages applications from women and minorities. PARTICIPATING INSTITUTIONS: Indiana University, Iowa State University, Michigan State University, Northern Illinois University, Northwestern University, Ohio State University, Purdue University, University of Chicago, University of Illinois (Urbana), University of Iowa, University of Michigan,
CONTEMPORARY MATHEMATICS ized explicit formulas of number theory" associated Advanced Analytic Number Theory to the L-functions of automorphic representations and algebraic varieties over number fields. Part 1: Ramification Theoretic Methods An introductory chapter outlines some of the Carlos J. Moreno most significant discoveries in algebraic number the ory dealing with the phenomenon of ramification, ABSTRACT notably the introduction by Hilbert of the higher The book presents in a coherent way all the ram ramification groups and the generalization to infinite ification resu Its from local fields which are necessary extensions by Herbrand. The same chapter also gives for an understanding of the new developments in an introduction to the powerful technique of the advanced analytic number theory. "explicit formulas" which leads to some far reaching Chapter Ill gives an elementary introduction to generalizations of the known prime number theorems. /-adic Haar measures, a topic which has gained much importance in recent years due to the work of Mazur Contents and others. 0. Introduction Chapters I, II, IV, V and VI are basic and could I. Galois theory for infinite extensions very well serve as an introduction to local class field II. Projective limits theory. Ill. Elementary theory of 1-adic integration Chapter VII gives a detailed discussion of the rela- IV. Ramification theory tive Weil group; it includes a proof of Grothendieck's V. Multiplicative versus additive reduction local monodromy theorem which is the essential in· VI. Ramification of abelian extensions gredient in the construction of the Weii-Deligne VII. The Weil groups of a local field group. The chapter ends with the precise statement VIII. Shafarevitch's theorem of the conjectural non-abelian local reciprocity law. IX. The Herbrand distribution After some preparations in chapter VIII, chapter 1980 Mathematics Subject Classifications: 10015, 12A65, IX presents a detailed study of the Herbrand distri- 12810, 12825, 12827, 14G10, 10H99 bution which serves as a suitable substitute for the Contemporary Mathematics Artin and Swan representations when dealing with Volume 15, viii+ 192 pages (soft cover) f List price $19, institutional member $15, conductor questions. The point of view is that o individual member $11 harmonic analysis and /-adic valued distributions. The ISBN 0·8218-5015·6; LC 82-22620 main goal of the chapter has been to prepare the Publication date: January 1983 way for the development of the so-called "general· To order, please specify CONM/15N Shipping/Handling: 1st book $2, each add'l $1, max. $25; by air, 1st book $5, each add'l $3, max. $100 Prepayment is required. Order from American Mathematical Society, P .0. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-556-777 4 to charge with Visa or MasterCard.
823 DEAN COLLEGE OF MATHEMATICAL AND PHYSICAL SCIENCES The Ohio State University invites nominations and applications for the position of Dean of the College of Mathematical and Physical Sciences. The College consists of seven departments: Astronomy, Chemistry, Geodetic Science and Surveying, Geology and Mineralogy, Mathematics, Physics, and Statistics. Under graduate, masters, and doctoral degree programs are offered in each department. Included in the College is an undergraduate program in computer and information science in cooperation with the Department of Computer and Information Science (College of Engineering), an interdisciplinary major in mathematical sciences, a major in actuarial science, and a major in Engineering Physics. The Materials Research Labora tory is an interdisciplinary program at the graduate level which involves Physics, Chemistry, Metallurgical Engineering, and Ceramic Engineering. The College has a faculty of 230 FTE and teaches over 9,000 students (FTE) per year. Several of its de partments are among the most distinguished in the University. The Dean provides leadership as the chief executive of the College and promotes the goals of the College, departments and programs; the Dean reports to the Provost of the University. Qualifications for the posi tion include a distinguished scholarly record in research and teaching plus demonstrated leadership and administrative ability. Candidates must qualify for a tenured appointment in one of the departments of the College at the level of Professor. The deanship is a twelve-month position. Position available July 1, 1985, or at an earlier date. Salary is negotiable and commensurate with back ground and experience. Nominations or letters of application, curriculum vitae, and names, addresses, and telephone numbers of four references are required. The Search Committee will begin to review dossiers on October 10 and will continue to receive nomina tions and applications until a candidate is selected. Applications and nominations should be addressed to: Chair, Search Committee for a Dean of the College of Mathematical and Physical Sciences The Ohio State University Office of Academic Affairs 203 Bricker Hall Columbus, Ohio 43210
1( Pitman Research Notes in Mathematics Two recent a~~tions to our range of up-to-date, low cost research notes for mathematicians who want to keep abreast of new work and results in their field. Research Note Number II 0 Finite Generalised Quadrangles Professor T AThas, University of Ghent, Belgium, and ProfessorS E Payne, University of Miami, USA The only combinatori~ and geometric treatment of finite generalised quadrangles in book form. A very large percentage of what 1s known about these structures is presented with complete proofs. Some new results appear, and many proofs are more complete and/or more efficient than given in original journal articles. 328 pages/ISBN 0 273 08655 3/£13.95 Publication October 1984 Research Note Number II4 Geometrical Combinatorics Dr F C Holyroyd and Dr R J Wilson, both of the Open University, Great Britain This selection of papers gives a useful overview of most important new developments in both geometry and combinatorics-including non-periodic tiling, symplectic geometry, coding theory and algebraic curves, binary sequence and geometrical graph theory. 112 pages/ISBN 0 273 08675 8/£7.95 Publication October 1984 Order via your local bookseller or direct from Cashpost, Pitman Publishing, Southport PR9 9YF, England. Available in the USA from Pitman Publishing Inc. 1020 Plain St, Marshfield, Massachusetts. ~iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiPitman iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiil
824 HONAM MATHEMATICAL JOURNAL SENIOR SCIENTIFIC publishes biannually refereed research papers in RESEARCH POSITIONS: English on pure and applied mathematics. Papers CHAIRMAN AND RESEARCH for publication may be submitted to the editor in-chief or one of the associated editors. STAFF MEMBER (SENIOR SCIENTIST) Editor-in-Chief CENTER FOR NONLINEAR STUDIES Professor Kee An Lee at Los Alamos National Laboratory Department of Mathematics The center for Nonlinear studies seeks to fill two Chonpuk National University positions: Chairman of ttle center and Research Chonju Staff Member !Senior scientlstl. Applications for 520, Korea these senior positions are Invited from distinguished research scientists with a significant record of Associated Editors achievement. The CNLS conducts and supports Interdisciplinary scientific research in nonlinear problems, includ· Professors Byung-Yup Cho ing but not restricted to those of Importance to Jong-Ki Cho applied research programs; it coordinates these studies into structured research themes; it pro Chosun University, Korea vides a strong link for effective collaboration with academic centers of excellence In nonlinear research; Professor Jeong-Yeol Choi it introduces scientists from academic backgrounds to important problems derived from applied research. WonGoang University, Korea • Cllalnnan responsibilities will include the leader Professors Chin-Myung Chung ship, scientific direction and financial management of the center; and coordinating an extensive pro Kyu-hyun Sohn gram of visitor exchange and collaboration with academic centers. substantial Inter-personal and Chonnam National University, Korea administrative skills are desired. Professor Won-Kee Jeon • Research Staff Member csenior Scientlstl will perform research of the highest caliber in non Chonpuk National University, Korea linear problems; guide students visiting from academic centers; advise on a broad spectrum of Professor Eun-Hee Lee nonlinear research themes; and encourage non linear research at Los Ala mos. For this position, a Chonju University, Korea joint appointment wlttl another technical division is possible. Professor Seung-Ahn Park candidates for both positions should have a demon Sogang strated expertise In nonlinear science, wlttl a back University, Korea ground from among applied mathematics, theoret ical physics, life sciences, and engineering. Nomina Professors A. G. Kartsatos tions for candidates are also welcome. candidates should submit vita and names of refer Sung J. Lee ences to: University of South Florida CNLS Chairman Selection Advisory committee Tampa, Florida 33620, U.S.A. !Prof. Martin Kruskal, Headl OIV 85-S Center for Nonlinear Studies, MS B-258 Los Alamos National Laboratory Professor S. K. Kim Los Alamos, NM 87545 Department of Mathematics An Affirmative Action/Equal Opportunity Employer University of Connecticut Storrs, Connecticut, U.S.A.
Professor M. Z. Nashed Department of Mathematics University of Delaware Newark, Delaware 19711, U.S.A.
Professor Osamu Takenouchi Faculty of Engineering Sciences Osaka University Toyonaka, Osaka, Japan
825 LATROBE UNIVERSITY MELBOURNE, AUSTRALIA CHAIR IN MATHEMATICS Applications are invited for appointment to a Chair in Mathematics in the area of applied mathematics. This Chair became vacant upon the recent retirement of Professor C. J. Eliezer. The appointee will share in the development of a new School of Mathematical and Informa tion Sciences which will comprise the departments of Mathematics, Computer Science and Statistics. The principal responsibilities of the person appointed will be to supervise and to participate in the teaching and research programme in applied mathematics, and applicants should there fore have appropriate experience and expertise. Evidence of research leadership abilities of the highest level will be expected. One of the important responsibilities of the new Professor will be to support and foster the continuation and further development of the research and teaching collaboration which has been recently established between applied mathematicians in the University and in local industry. SALARY $A52026. Further information may be obtained from Dr. J. Liesegang, Dean of the School of Physical Sciences, La Trobe University. (Phone 61 (Australia)- 3-478.3122) Applications marked 'In confidence', quoting reference number 150/9/39 including a curricu lum vitae and the names and addresses of three referees, should be forwarded to the Registrar, LaTrobe University, Bundoora, Victoria 3083, Australia, by 31 January 1985.
Volume 1 A handling charge of £2.50 for a single volume and £5.00 Social Sciences Physical Sciences for two or more volumes will be made on all orders from overseas. £35 £46 The British Library [§JQ
826 UNIVERSITY OF PETROLEUM & MINERALS DHAHRAN - SAUDI ARABIA DEPARTMENT OF MATHEMATICAL SCIENCES POSITIONS AVAILABLE AND REQUIREMENTS: Faculty positions at all ranks are available for the academic year 1985-86, beginning September 1, 1985. Preferred areas of specialization are in NUMERICAL ANALYSIS, APPLIED MATHE MATICS, DIFFERENTIAL EQUATIONS and STATISTICS. Candidates must have strong research potential or accomplishments and demonstrated excellence in teaching. Ph.D. in Mathematics is required. Applicants for senior positioos should have out standing academic qualifications and a distinguished record of research publications. Duties include teaching at the undergraduate and graduate levels, and research. Salary and position will be commensurate with experience and research credentials. CONTRACTS AND TERMS: UPM offers two-year renewable contracts. Salaries are competitive and benefits include free air-conditioned and furnished housing, air transportation to and from Dhahran each year, attractive educational assistance grants for school-age dependent children, and a local trans portation allowance. The contract requires ten months duty and provides two months paid vacation each year. There is also the possibility of participation in summer teaching with addi tional compensation. Exciting opportunities for funded research exist. All earned income is without Saudi taxes. UPM AND FACILITIES: The University of Petroleum and Minerals has as its goals the advanced training of students in the fields of science and engineering and the promotion of research. THE FACULTY IS MULTINATIONAL AND THE INSTRUCTION IS IN ENGLISH. UPM has about 4000 students and 700 faculty members. UPM offers B.S. and M.S. degrees in several fields of engineering and science, including Computer Science and Systems Engineering, and Ph.D. degrees in Electrical and Chemical Engineering. Ph.D. programs in other areas, including mathematics, are under consideration. The Department of Mathematical Sciences has over forty faculty members and offers B.S. and M.S. degrees in Mathematics. UPM has several computing systems, dedicated to instructional and research use, including the IBM 370/158 and IBM 3033 computers, with VM/CMS and TSO interactive systems. The library has over 5000 journals including about 300 journals in Mathematical Sciences. APPLICATIONS AND INQUIRIES: Apply before December 31, 1984, with complete resume on academic, professional and personal data, list of references, publications and research details, and with photo-copies of degrees and/or transcripts, including home and office addresses and telephone numbers to:
UNIVERSITY OF PETROLEUM & MINERALS HOUSTON OFFICE, DEPT. 253 5718 WESTHEIMER, SUITE 1550 HOUSTON TEXAS 77057
827 SOFTWARE ENGINEERS New products in Hughes Radar Systems' Tactical Software technical disciplines is preferred. Real-time software experience Departments have created several openings for Software is a plus. Engineers at various experience levels. A number of challenging assignments are available in developing real-time scientific ap Hughes offers a highly competitive salary, excellent benefits plication software for airborne radar signal and data processors. including medical and dental coverage, tuition reimbursement and a tax-deferred savings plan. A variety of software processing is utilized including the following: You are invited to call David Johnson-collect at (213) 648-2913 • Forming digital filters for bandpass signal filtering. for more information or send your resume to Ed Smith, Hughes • Extracting spectral information from the radar signal Aircraft Company Radar Systems Group, Employment Depart using Fast Fourier Transforms. ment MAN-11, RB/4400, P.O. Box 92426, Los Angeles, • Target range and velocity resolving. California 90009. Proof of U.S. Citizenship Required. Equal • Target detection and thresholding. Opportunity Employer. • Closed loop target tracking using Kalman filtering. • Forming two dimensional high resolution maps. Principals only, please. • Detection and tracking of ground moving targets. Join us and grow professionally in a rewarding career while working on radar systems for the F-14, F-15, F/A-1 B aircraft and other advanced applications. HUGHES A Bachelor or advanced degree in Mathematics or related AIRCRAFT COMPANY RADAR SYSTEMS GROUP
Department of Mathematics MATHEMATICS UNIVERSITY OF HOUSTON CHAIR AND LECTURESHIP UNIVERSITY PARK Applications are invited for appointment to a Chair of Math· The Department of Mathematics will have both ematics. The successful appli· permanent and visiting positions available for the cant will be expected to assume 1985-86 academic year. the duties of a Professor, and Openings for permanent appointments are at all possibly of Head of the Depart· levels, and strong l!pplicants in all fields are encour men! of Mathematics at some aged to apply. Applicants in numerical analysis, time in the future. As such the in· cumbent will be expected to pro· analysis, probability, statistics and applied mathe vide leadership in teaching and research. matics are especially encouraged. Vitae and three A lectureship is also available. The appointee will letters of reference should be sent to Professor be expected to undertake research, as well as G. J. Etgen, Chairman, Department of Mathematics, teaching in accordance with needs of the University of Houston, University Park, Houston, department. Texas 77004. Tel. 713-749-4827. All Academic salaries are currently under review. The Department will also have two visiting Details are obtainable on request. faculty positions, and these will be available for Benefits: annual bonus • generous leave • pen· visits of either one or two semesters. The visiting sion • medical aid • remission of fees for faculty members will be named dependants attending the University • housing subsidy (if eligible) • removal, travel and settling· D. G. Bourgin Visiting Scholars in allowances may be payable. Some teaching duties will be required, but the Applications should be lodged by 31 October main purpose of the visit is to collaborate with 1984. the permanent faculty on research centered in the For detailed information contact the Deputy areas of algebra, analysis, or topology. Interested Registrar, (Academic Staffing), persons should apply by February 15, 1985, to Professor A. Lelek at the address indicated above. UNIVERSITY OF THE WITWATERSRAND 1 Jan Smuts Avenue, Johannesburg 2001, The University of Houston is an equal opportunity/ South Africa. affirmative action employer It is the policy of the University not to discriminate on grounds of sex, race, colour or national
828 University of California, Berkeley University of California, Berkeley Department of Mathematics Department of Mathematics Berkeley, CA 94720 Berkeley, CA 94720
Applications are invited for a position which may be Applications are invited for a position which may be available July 1st, 1985, at tenure level (Associate or available July 1st, 1985, at the tenure track Assistant full Professor) in the areas of algebra, analysis, applied Professor level in the areas of algebra, analysis, mathematics, foundations, or geometry. Applicants applied mathematics, foundations, or geometry. should have demonstrated substantial achievements in Applicants should have demonstrated substantial research and teaching. Send by January 15, 1985 cur potential in research and teaching. Send by Janu riculum vitae, list of publications, a few selected ary 15, 1985 curriculum vitae, list of publications, a reprints or preprints, and the names of three refer few selected reprints or preprints, and the names of ences to Alan Weinstein, Vice Chair for Faculty three references to Alan Weinstein, Vice Chair for Appointments, at the above address. The University Faculty Appointments, at the above address. The of California is an Equal Opportunity, Affirmative University of California is an Equal Opportunity, Action Employer. Affirmative Action Employer.
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UNIVERSITY OF ILLINOIS AT CHICAGO University of California, Berkeley Department of Mathematics, Statistics, Department of Mathematics and Computer Science Berkeley, CA 94720 The Department invites applications for anticipated positions. Candidates will be considered in (1) pure mathematics-all areas, (2) applied mathematics and numerical analysis, (3) probability and statis Several temporary positions beginning in Fall 1985 are tics, (4) computer-related mathematics and theoret anticipated for new and recent Ph.D.'s of any age in ical computer science, (5) mathematics and com the fields of algebra, analysis, applied mathematics, puter education. Candidates should have excellent foundations, or geometry. The term of these appoint research records and the ability to direct graduate ments may range from one to three years, depending students. Salary and rank will be commensurate partly on pending administrative decisions. Applicants with qualifications. Send resume and have at least for NSF or other postdoctoral fellowships three letters of reference sent to: are encouraged to apply for these positions; combined Louise Hay, Head teaching/research appointments may be made for up Department of Mathematics, Statistics, to three years. Mathematicians whose research and Computer Science interests are close to those of regular department University of Illinois at Chicago members will be given preference. Send by Janu Box 4348 ary 15, 1985 resume, reprints, preprints, and/or thesis Chicago, Illinois 60680 abstract. Ask three people to send letters of recom Availability of positions is contingent upon budge mendation to Alan Weinstein, Vice Chair for Faculty tary allocations. Appointments at the above address. The University An Affirmative Action/Equal Opportunity of California is an Equal Opportunity, Affirmative Employer. Action Employer.
829 "'...___ ,
SHORT COURSE private, liberal arts college in Bard, a small, THE UNIVERSITY OF' TENNESSEE SPACE the Hudson valley, 100 miles from New INSTITUTE York City, seeks to hire into a tenure track WUI Oll'or A Shon Coune On line a mathematician primarily a strong com NUMERICAL METHODS FOR PARTIAL mitment to undergraduate teaching coupled DIFFJ:UNTIAL EQUATIONS with the expectation of continued research. 18 • ~1:11" 4 March 11185 attrac Nlli.a Speaken: Phd. required although particularily Geol'l• Fix Carnegie-Mellon Univuoity tive candidates who are about to receive Stanley Osher University of Calilomia JoHph Oliger Stanford University their Phd. in mathematics will be considered. Roger Temam Labora.torie D'Analyoe We are looking for someone interested in Nwnerique, Paris shaping an innovative department at Bard. The objectivu of the Coune are to discuss and criti· cally review the rocent developments in the theory of The opening is for spring or fall of 1985; nunwrical methods for elliptic, hyperbolic, parabolic candidates available for only the spring and mixed partial difFerential equations. It is antic· ipated that this coune will encourage tile adoption semester should also apply. ol JH~::re la.tt>!lt t.h~ori~' by !"t:s~.:U"~ht'M i.'11'oh·t'f! ·v.it~~ Respond to: physical probleiDI. J'or Technlul detalh contad: Peter Renz, Department of Mathematics S. I. Hariharan or T. H. Moulden 615·4611-0631 Bard College, Annandale-On-Hudson (e:d. 338 or 179) 12504 J'or Recl•tratlon c:ontad: New York Ms. S. Shankle, Short Course Manager, 6111· EO/AAE. 156·01131, (ext. 278) UTSI Tullahoma, TN 37388
~--++++++++~~----~ UNIVERSITY OF UTAH JorMath"' DEPARTMENT OF MATHEMATICS a text-formatter for mathematical papers, books and theses invites applications for the following positions 1. Three or four non-renewable 3-year Instructor ships. Persons of any age receiving Ph.D. de Li n [_I~I+ I) _I_1f J [!.' ~-.rlx dx _ 1]-1 grees in 1984 or 1985 are eligible. Applicants n•~ 830 MACQUARIE UNIVERSITY SYDNEY AUSTRALIA UNIVERSITY OF TORONTO Department of Mathematics The Department has an opening for a tenure SCHOOL OF MATHEMATICS stream position at the level of Assistant or Associ AND PHYSICS ate Professor, beginning July 1, 1985. The success ful candidate shall be expected to make significant research contributions to an active area of pure or applied mathematics, and to carry out graduate LECTURERS IN and undergraduate instruction. Salary negotiable. We also invite applications for a one-year term appointment beginning July 1, 1985 which we will MATHEMATICS offer in the event that a suitable candidate for the tenure-stream position is not found for this date. Equality of Employment Opportunity Applications including a C.V. and the names of is University Policy at least three referees should be sent by January 31, 1985 to: Applications are invited for appoint Professor John M. Perz ment to two positions of LECTURER Chairman IN MATHEMATICS in the School of Physical Sciences Division .Mathematics and Physics, tenable Scarborough Campus from 1 February 1985. One position is University of Toronto a permanent appointment, and the 1265 Military Trail other is for a fixed term of five years. Scarborough, Ontario Candidates should indicate if they are Canada M1C 1A4 not interested in the fixed-term ap In accordance with Canadian immigration require pointment. ments, this advertisement is directed to Canadian citizens and landed immigrants. This position is Successful candidates will be active in subject to budgetary approval. research areas which will enrich and complement present strengths of the Mathematics discipline at Macquarie University. A strong commitment to THE UNIVERSITY OF FLORIDA teaching at all levels of University DEPARTMENT OF MATHEMATICS mathematics, and the ability to teach effectively, is essential as is the pre announces the opening of two new tenure-track paredness to contribute to the general assistant professorships beginning August, 1985. management and advancement of the Those applying for these positions should have School's activities. demonstrable research potential. In particular the search committee encourages applications from Further information about the position mathematicians with postdoctoral experience and may be obtained from Professor A.J. from those whose research interests are compat van der Poorten. ible with the interests of current department Salary range: $A24,840 to $A32,634. members. Priority areas include algebra/combina torics, analysis, differential equations, logic, and Further information about the Univer numerical analysis/approximation theory. The sity and advice regarding the method salaries will be highly competitive. Applicants of application should be obtained from should provide a resume (including a list of pub the Secretary-General, Association of lications) and should arrange for at least three Commonwealth Universities, 36 letters of reference to be sent to: Gordon Square, London, WC1 H OPF, David A. Drake England, or from the Registrar, Chair, Search and Screen Committee Macquarie University, North Ryde, Department of Mathematics New South Wales, 2113, Australia. University of Florida Applications close 16 November Gainesville, Florida 32611 1984. Applications must be received by January A.J.T. Ford 21' 1985. September 1984 Registrar The University of Florida is an equal oppor tunity employer. 831 Quantum Space and Time Classical General Relativity The Quest Continues W. B. BONNOR, J. N. ISLAM and Studies and Essays in Honour of M.A. H. MacCALLUM, Editors $44.50 Louis de Broglie, Paul Dirac, and Eugene Wigner Symplectic Techniques in ASIM 0. BARUT, ALWYN VAN DER Physics MERWE and JEAN-PAUL VIGIER, VICTOR GUILLEMIN and Editors SHLOMO STERNBERG Cambridge Monographs on Physics $49.50 $49.50 A Concise Introduction to the The Geometry of Fractal Sets Theory of Numbers KENNETH FALCONER ALAN BAKER Cambridge Tracts in Mathematics 85 Forthcoming Forthcoming Games Programming Future Directions in Finite ERIC SOLOMON Group Theory $14.95 MICHAEL ASCHBACHER, DANIEL GORENSTEIN, R. LYONS, M. O'NAN FPF Ring Theory and C. SIMS, Editors Faithful Modules and $39.50 Generators of mod-R Supermanifolds CARL FAITH and STANLEY PAGE London Mathematical Society Lecture Note BRYCE S. DE WITT Series 88 Physics Cambridge Monographs on Mathematical Paper $19.95 $59.50 Classgroups of Group Rings General Irreducible Markov MARTIN TAYLOR Chains and Non-Linear London Mathematical Society Lecture Note Operators Series 91 ESA NUMMELIN Paper $17.95 Cambridge Tracts in Mathematics 83 $37.50 Representations of General Linear Groups Recursion via Pascal G. D. JAMES J. S. ROHL London Mathematical Society Lecture Note Cambridge Computer Science Texts 19 Series 94 Cloth $39.50 Paper $17.95 Paper $19.95 Ninth Colloquium on Trees in Martingales and Stochastic Algebra and Programming Integrals B. COURCELLE, Editor EKKEHARD KOPP $39.50 $29.95 A Topological Tribute Diophantine Equations over I. M. JAMES and Function Fields E. H. KRONHEIMER, Editors R. C. MASON London Mathematical Society Lecture Note London Mathematical Society Lecture Note Series 94 Series 96 Paper $21.95 Paper $15.95 32 East 57th Street, New York, New York 10022 832 ~Oxfurd------~ The first comprehensive review Reprinted by international demand-now in paper StitT Computation An Introduction to Probability Theory RICHARD C. AIKEN, University of Utah P.A.MORAN Leading software developers, users, and theoreticians formerly of the Australian National University describe the best general-purpose and problem-oriented This classic introduction has been reprinted, with correc methods and packages for stiff differential equations. tions, at the request of workers in the field throughout the Contributors use a systems approach that relates experimen world. Drawing a variety of examples from real applica tation, modelling, and parameter estimation to computa tions in the physical and biological sciences, the book is tional problems. "a rich treasure-house in which even the expert will find January 1985 400 pp.; 54 ill us. new ideas, expressed with lucidity and elegance." Order #503453-8 $75.00 -John Kingman, Science and Engineering Research Council, Great Britian Free and Moving Boundary Problems 1984 542pp. JOHN CRANK, Brunei University Order #853242-3 $26.95 paper A comprehensive survey of the mathematical formulation offree and moving boundary problems, offering many new Mathematical Byways methods of solution and drawing examples from a variety of fields. Modern computer methods are discussed in detail. In Ayling, Heeling, and Ceiling HUGH ApSIMON 1984 424 pp.; 107 illus. Order #853357-8 $75.00 This delightful volume in recreational mathematics contains a series of ingenious problems set in three fictional English Supercomputers and Parallel Computation villages, involving their unusual inhabitants and the rela Edited by D.J. PADDON, University of Bristol tionships (spatial and social) between them. The problems Presents the latest research on design and use of vector and require little formal training, providing both easy accessi array processing computers, reflecting experience gained bility and a challenge to the reader. with the ICL distributed array processor, which is of funda (Recreations in Mathematics) mental importance to the design and use of all types of array 1984 125 pp.; 30 illus. processors. Topics include • VLSI parallel architectures • Order #853201-6 $9.95 theory of parallel computing • vector and array processor computing. Dictionary of Computing (The Institute ofMathematics and its Applications Consultant Editors: EDWARD L. GLASER and I.C. PYLE Conference Series) General Editor: VALERIE ILLINGWORTH 1984 268 pp.; 70 ill us. "Containing over 3,750 terms, this dictionary ... [covers] all Order #853601-1 $39.95 aspects of this field ... from formal languages and grammar Subrecursion to legal implications to hardware and memory devices .... Deserves a place on the reference shelf of computer Functions and Hierarchies users .... Useful for the novice as well as the advanced H. E. ROSE, University ofBristol computer user." This unique study is the first to consider the very important -American Reference Books Annual results in recursion theory that have developed over the past 1983 393 pp.; 100 illus. thirty years, especially those concerning the Grazegorczyk Order #853905-3 $24.95 Eo hierarchy. (Oxford Logic Guides) 1984 208 pp. r------Order #853189-3 $35.00 Returnto: OXFORD UNIVERSITY PRESS Cantorian Set Theory ATTN: Liz Fabian and Limitation of Size 200 Madison Avenue MICHAEL HALLETT, University of Oxford New York, NY 10016 Explains in detail the philosophical ideas underlying mod Please send me the books for which I've circled order em set theory, with special emphasis on Cantor's work and numbers: its direct influence on Zermelo and von Neumann's axiom systems. 503453-8 $75.00 853242-3 paper $26.95 (Oxford Logic Guides) 853357-8 $75.00 853201-6 $9.95 1984 368 pp. 853601-1 $39.95 853905-3 $24.95 Order #853179-6 $45.00 853189-3 $35.00 853179-6 $45.00 Polyharmonic Functions 853906-1 $59.00 N. ARONSZAJN; T.M. CREESE, University of Kansas; $ Check/ money order enclosed. and L.J. LIPKIN, University ofNorth Florida {California residents please add sales tax.) Develops both theory and applications of this important Prices subject to change. subclass of the analytic functions. The polyharmonic Name ______functions are notable for exhibiting globally properties Address ______that analytic functions exhibit only locally. (Oxford Mathematical Monographs) 1983 320pp. City /State/Zip------Order #853906-1 59.00 84-512 I 833 MATHEMATICAL SCIENCES EMPLOYMENT REGISTER Instructions for Applicant's Fonn on facing page The fonn. Applicants' forms submitted for the Employment Register at the Joint Mathematics Meet AMS TRANSLATIONS-SERIES 2 ings in Anaheim will be photographically reproduced in the December issue of Employment Information in Sixteen Papers on Differential Equations the Mathematical Sciences to appear in December 1984. They will also be posted at the Employment Register. The forms must be carefully typed using a fresh Table of Contents black ribbon. The best results are obtained with a D. M. Galin, Versa/ deformations of linear Hamil carbon-coated polyethylene film ribbon, but satisfac tonian systems tory results may be obtained using a ribbon made of 0. A. Oleinik and E. V. Radkevi~, On the analyticity nylon or other woven fabric if suitable care is exer of solutions of linear second order partial differen cised. It is important that the keys be clean and make tial equations a sharp, clear impression. Do not erase-it causes V. M. Petkov, Necessary conditions for the Cauchy smudges which reproduce when photographed. problem for nonsymmetrizable hyperbolic sys Use a correcting typewriter or correction tape or fluid if tems to be well-posed necessary. Submit the original typed version P. R. Popivanov, On the local solvability of a class only. Copies will not reproduce properly and of pseudodifferential equations with double char are not accept able. Hand lettered fonns will be returned. acteristics Applicants' forms must be received by the Society A. N. So~itai~vili, On bifurcation of topological type by November 15, 1984 in order to appear in the spe of singular points of vector fields depending on cial issue of ElMS, and must be accompanied by the parameters Preregistration and Housing Form printed at the back D. A. Silaev, Construction of the solutions of a sys of this issue. See the Meeting Announcement in the tem of boundary-layer equations by the method October issue of the Notices for infonnation. Fonns of lines with respect to time received past the deadline will be returned. A. 1. Suslov, On Prandtl's system of equations for The summary strip. Information provided here will the boundary layer with a surface of discontinuity be used to prepare a printed list of applicants for dis M. I. Vi~ik and A. I. Kome~, On the solvability of tribution to employers. Please supply all information the Cauchy problem for the Hopf equation corre requested, and confine your characters to the boxes sponding to a nonlinear hyperbolic equation provided. Use the codes below. Circled letters identify )u. V. Egorov and C. V. Rangelov, On a class of corresponding items on the form and the strip. pseudodifferential equations with multiple charac teristics @ Specialties ) u. S. ll'ja~enko, The multiplicity of limit c;:cles AL = Algebra AN = Analysis arising from perturbations of the form w = Bl = Biomathematics BS = Biostatistics P JQ of a Hamiltonian equation in CB = Combinatorics CM = Communication 2 1 . the real and complex domam CN = Control CS = Computer Science CT T. F. Kalugina, A priori estimates for equations of = Circuits DE = Differential Equations EC = Economics ED = Mathematical Education parabolic type FA = Functional Analysis FI = Financial Mathematics V. )u. Kiselev, Almost periodic Fourier integral oper FL = Fluid Mechanics GE = Geometry ators and some of their applications HM = History of Math LO = Logic A. A. Lok~in, Fundamental solutions of quasihyper MB = Mathematical Biology ME = Mechanics bolic equations and polynomials of several vari MO = Modelling MP = Mathematical Physics ables MS = Management Science NA = Numerical Analysis NT = Number Theory 0. A. Oleinik and N. 0. OR = Operations Research Maksimova, On the behavior PR = Probability of solutions of inhomogeneous SA = Systems Analysis elliptic systems in ST = Statistics TO = Topology unbounded domains A. V. Fursikov, First integrals and integrability of @ Career Objectives syst~ms of quasilinear equations . . AR = Academic Research AT = Academic Teaching M. A. Sub in, The density of states of selfad}omt NR = Nonacademic R&D NC = Nonacad. Consulting elliptic operators with almost periodic coefficients NS = Nonacademic Supervision ®CD Duties 1980 Mathematics Subject Classifications: 34, 35, 42, 47, and others T =Teaching U = Undergraduate G =Graduate Volume 118, iv +340 pages (hard cover) R =Research List price $74, institutional member $59, C = Consulting A = Administration individual member $44 S = Supervision IND = Industry ISBN 0-8218-3072-2; LC 82-20595 GOY = Government DP = Data Processing Publication date: December 1982 Location To order, please specify TRANS2/118N E =East S =South Shipping and handling charges: surface. C =Central M =Mountain delivery - $2 first book. $1 each additional. max1mum W =West 0 = Outside U.S. I = Indifferent $25: air delivery - $5 first book, $3 each additional, U.S. Citizenship Status maximum $100. Prepayment Is required. Order from American Mathematical Society PO Box 1571, C = U.S. Citizen P = Permanent Resident Annex Station, Providence. Rl 02901-1571 USA. T = Temporarily in U.S. N = Non-U.S. Citizen 834 MATHEMATICAL SCIENCES EMPLOYMENT REGISTER APPLICANT FORM January 10-12, 1985 ANAHEIM, CALIFORNIA (please see instructions on facing page) APPLICANT: N~.~------ Mailing address (include zip code)------ Q9Speci&hles'------ @ Career objectives and accomplishments ACADEMIC: 0 Research, 0 Teaching NON-ACADEMIC: 0 Research and Development, 0 Consulhlng, 0 Supervision Near-~rm~go&L------ Significant achievements or projects, including rol..,______ Honors and office.,______Other (e.g., paper to be presented at THIS meehlng)•------ Selected titles of papers, reports, books, patent,..______ @Degree Year Inshltuhlon ______------@No. of abstracts, in~& report..,______------®No. of papers acceptedc______------@No. of books and patent..______EMPLOYMENT HISTORY: Present Previous Previous @Employer------Posihlon @Duhles Years to______to. ______t.n ____ DEBmED POSITION:: ______Q)Duhle...______@Available mo. __ /yr.__ Locatio.n______S&ary______@References {N~e and Instituhlon) @Citizenship------ @AVAILABLE FOR INTERVIEWS: (In~ews for Session 4 scheduled on the basis of employer's request only.) Se11ion 1 0 Se11ion 2 0 Semon 3 0 Se1sion' 0 Fri. AM 9:30-11:'5 Fri. PM 1:15-5:00 Sat. AM 9:30-11:'5 Sat. PM 1:15-5:00 Family Name Firet Name Mailing Addre .. 835 • • on on ) ) code code RESC RESC 1985 1985 resi resi ( ( and and Analy Adminis· Adminis· code code all all placed placed Modeling the the interviews interviews 10-12, 10-12, be be Analysis=SA, Analysis=SA, (If (If employer employer at at Unknown Unknown of of Combinatorics· Combinatorics· required required permanent permanent Engineer), Engineer), )* )* STRIP; STRIP; one one will will yr. yr. Functional Functional employer employer or or are are 1 1 ( ( ) 1:15-5:00 1:15-5:00 Sessions Sessions Position Position Supervised Supervised JANUARY JANUARY Systems Systems 4 4 ( number number than than one one Consulting=C, Consulting=C, Interviewers Interviewers No No mo. mo. ©Start ©Start PM, PM, Mechanics=ME, Mechanics=ME, scheduled. scheduled. itself itself Restriction Restriction (Project (Project the the forms forms SUMMARY SUMMARY OJ/OJ. OJ/OJ. Track Track Citizen Citizen ) ) People People be be distribution distribution only only More More ® ® Sat. Sat. ( ( Session Session the the two two FORM FORM --- of of PREN PREN for for may may and and U.s. U.s. (B)No. (B)No. Education=ED, Education=ED, I.DJ.DDDD I.DJ.DDDD CD. CD. announcement.) announcement.) Biostatistics=BS, Biostatistics=BS, Tenure Tenure Yes Yes and and The The I. I. increase increase I I Research=R, Research=R, number.) number.) Biology=MB, Biology=MB, I I Probability=PR, Probability=PR, Citizenship Citizenship Number Number to to FORM FORM I I zen=C, zen=C, II II meeting meeting positions, positions, ® ® Analyst), Analyst), ti ti summaries summaries I I submitted submitted table table interviews interviews the the CALIFORNIA CALIFORNIA position position Ci Ci of of order order 1,1 1,1 of of Dept. Dept. be be suggested. suggested. Mathematical Mathematical in in of of 1,1 1,1 I I in in Experience Experience I I u.s. u.s. Graduates=G, Graduates=G, sets sets Anaheim Anaheim are are I I list list Mathematical Mathematical Research=OR, Research=OR, 9:30-11:45 9:30-11:45 Q) Q) I I Possible Possible Impossible Impossible so, so, 3 3 ( ) separate separate items items should should ANAHEIM, ANAHEIM, ® ® above. above. ) ) ) ) Biomathematics=BI, Biomathematics=BI, the the I I (Operations (Operations Interviewers Interviewers do do ( ( AM, AM, ( ( ®Title ®Title I I and and simultaneous simultaneous to to form form FORM FORM printed printed disjoint disjoint capitals capitals OPAN OPAN Positions Positions Economics=EC, Economics=EC, Sat. Sat. Session Session red=N; red=N; --- Logic=LO, Logic=LO, one one whom whom Operations Operations the the two two of of able able State State rn. rn. following following Renewal Renewal Block Block I. I. requi requi schedule schedule for for see see Analysis=AN, Analysis=AN, corresponding corresponding are are only only are are I I computer computer 1.11111,11 1.11111,11 Staff), Staff), ® ® Undergraduates=U, Undergraduates=U, Duties Duties 4, 4, I I a a ink. ink. they they I I QDNumber QDNumber there there Experience Experience Register Register Theory=NT, Theory=NT, I I Equations=DE, Equations=DE, computer computer Ill Ill if if identify identify yrs. yrs. black black CD CD and/or and/or experience experience when when I I Mathematics=HM, Mathematics=HM, prepare prepare positions, positions, Technical Technical Algebra=AL, Algebra=AL, interviewers interviewers REGISTER REGISTER in in I I 3, 3, only. only. No No Number Number to to of of of of Teaching=T, Teaching=T, ® ® I I of of Thus, Thus, ® ® 2, 2, 1:15-5:00 1:15-5:00 2 2 ( ) separate separate letters letters Employment Employment ~ ~ I I set set GD GD 1, 1, Interviewers Interviewers @ @ a a used used (Member (Member I I PM, PM, or or ng=DP, ng=DP, request request City City Differential Differential the the CD CD number number be be Appointment Appointment interviewer interviewer I I History History EMPLOYMENT EMPLOYMENT same same List List MTS MTS on on I I Fri. Fri. 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Sought Sought SUMMARY SUMMARY Possible=P, Possible=P, Master=M, Master=M, I I the the position, position, interview interview sought sought provide provide ______ refer refer The The MATHEMATICAL MATHEMATICAL I I ® ® 9:30-11:45 9:30-11:45 Science=CS, Science=CS, notes notes 1 1 ( ) on on indicate indicate to to I I completing completing not not Prof, Prof, Prof, Interviewers Interviewers Science=MS, Science=MS, same same Government=GOV, Government=GOV, Mechanics=FL, Mechanics=FL, available available to to interviewer interviewer AM, AM, the the I I Salary Salary e.g.; e.g.; Accepted Accepted I I (Please (Please Specialties Specialties the the in in will will Asso Asso Bachelor=B, Bachelor=B, session session Session Session Computer Computer care care Fri. Fri. each each before before I I --- Fluid Fluid submitted. submitted. Specialties Specialties ® ® for for I I Periods Periods encouraged encouraged ® ® Degree Degree 01/83, 01/83, as as this this I I take take Zip Zip Management Management ® ® Prof, Prof, yr. yr. ~ ~ provided provided are are I I @ @ in in Industry=IND, Industry=IND, Date Date assigned. assigned. I I Interviewer(s) Interviewer(s) carefully carefully Asst Asst I I therefore, therefore, interviewers interviewers are are Control=CN, Control=CN, State, State, be be exactly exactly I I Please Please © © of of I I Institution Institution cin=S, cin=S, read read interviewing interviewing some some used used Lect, Lect, Mathematics=FI, Mathematics=FI, si si I I Physics=MP, Physics=MP, mo. mo. Employers Employers will will Interviews Interviews scheduled scheduled City, City, Institution Institution be be Name Name if if be be I I Topology=TD; Topology=TD; Position(s) Position(s) assigned; assigned; Register Register I I Interviewers: Interviewers: for for Please Please are are to to Inst, Inst, codes codes hrs./week hrs./week restriction=NR; restriction=NR; scheduled. scheduled. of of will will Supervi Supervi be be I I of of Preferred____ Preferred____ the the Scientist); Scientist); No No FORM FORM be be I I Financial Financial FORM FORM sessions. sessions. ® ® at at required required I I will will (E) (E) Mathematical Mathematical Communication=CM, Communication=CM, on=A, on=A, may may be be I I Number Number Degree Degree Available Available Starting Starting Date Date Teaching Teaching Title(s) Title(s) employer employer Interviews Interviews (!» (!» D.D.ITJ[l]ITJ[IJ[D,[IJDJ[D[D[D,O.D.I D.D.ITJ[l]ITJ[IJ[D,[IJDJ[D[D[D,O.D.I I I (Research (Research sis=FA, sis=FA, =MO, =MO, NOTES: NOTES: =CB, =CB, Statistics=ST, Statistics=ST, trati trati dent=CP, dent=CP, EMPLOYER EMPLOYER * * @ @ ® ® © © @ @ @ @ two two number number interviewers interviewers display display INSTRUCTIONS: INSTRUCTIONS: EMPLOYER EMPLOYER Register Register abbreviations abbreviations will will which which w w 0'1 0'1 00 00 PREREGISTRATION/HOUSING FORM, ANAHEIM, CALIFORNIA AMS Short Course january 9-13, 1985 MAA Minicourses January 7-8, 1985 january 11-13, 1985 MUST BE RECEIVED IN PROVIDENCE NO LATER THAN NOVEMBER 15, 1984 Please complete this form and return it with your payment to Mathematics Meetings Housing Bureau, P.O. 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REGISTRATION FEES JOINT MATHEMATICS MEETINGS Preregistration (by mail prior to I 1/15) At Meeting Member of AMS, ASL, MAA, NCTM $55 $72 Nonmember $84 $109 *Student, Unemployed, or Emeritus $14 $ 18 AMS SHORT COURSE Member/Nonmember $25 $ 30 *Student or Unemployed $ 5 $ 10 EMPLOYMENT REGISTER - Employer fcc $75 $100 - Applicant fcc $15 $ 20 MAA MINICOURSES (payable at meeting) #1 -The teaching of applied mathematics #6 - PROLOG #2 -- APL - A functional computer language #7 · Linear programming #3 - Teaching problem solving #3 -- Microcomputer software in mathematics #4 -· Applications of discrete mathematics #9 ·-Teacher in-service programs #5- Groups, graphs, and computing #10- Constructing placement examinations *All full-time students currently working toward a degree or diploma qualify for the student registration fees, regardless of income. The unemplo~:ed status reters to any person currently unemployed, actively seeking employment, and who is not a student. 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Member of other organizations: AWM I I NAM [ I 6) joint Meetings fcc enclosed $ ----- (7) AMS Short Course fee enclosed $----- (8) Employer fcc enclosed $------ 9) Applicant fcc enclosed$ ______(10) Disneyland ticket(;) ____ (0 $9 11) TOTAL AMOUNT ENCLOSED FOR 6 THROUGH 10 $ NOTE: May be paid by check payable to AMS (Canadian checks must be marked "In U.S. Fund>'') or VISA or MasterCard credit cards. Credit card type: ______; Card number: ------Expiration date:------ (Signature) 12) HOTEL DEPOSIT ENCLOSED: Check payable to AMS (where applicable) $ or credit card [ (See reverse for appropriate card type) Credit c.1rd type ; Card number:------ Expiration date: 4-digit bank code (for MasterCard only) ------PLEASE CHECK HERE IF YOU WILL NOT REQUIRE A ROOM. (s;gnature) PLEASE BY SURE TO COMPLETE THE SECTION ON NEXT PAGE IF YOU WILL REQUIRE HOTEL ACCOMMODATIONS. For Office use only: Cudcs: Options: Hotel: Roum Type: Special remarks: Amt. pd: cc I Check I 837 1985 1985 rate. rate. D D D D D D D D D D D D D D assigned assigned a.m./p.m. a.m./p.m. C, C, C, C, c, c, c, c, be be lowest lowest B, B, B, B, B, B, B, B, B,C, B,C, B,C, B,C, B,C, B,C, B,C B,C will will N/A N/A A, A, A, A, A, A, A, A, A, A, A, A, A, A, A, A, Requirements Requirements Deposit Deposit JANUARY JANUARY next next you you I I I I I I I I I I ! ! the the I I with with available, available, N/A N/A N/A N/A N/A N/A request request N/A N/A N/A N/A N/A N/A hotel hotel 49-$100 49-$100 Suites Suites $155··$380 $155··$380 $ $ DATE DATE On On longer longer $75~-:;-95 $75~-:;-95 ! ! T T no no is is unrankcd unrankcd ------ an an at at beds beds at at N/A N/A $55 $55 $66 $66 $72 $72 N/A N/A $40 $40 $40 $40 $47 $47 DEPARTURE DEPARTURE (2 (2 w/cot) w/cot) requested requested number: number: made made l------;46-- rate rate be be Phone Phone the the will will If If beds) beds) $80 $80 $64 $64 $38 $38 $48 $48 $52 $42 $42 $50 $50 $68 $68 $38 $38 $45 $45 $76 $76 (2 (2 Quad Quad Quad rate. rate. ~l ~l and and assignment assignment l l the the type type beds beds $44 $44 $66 $66 $48 $48 $70 $70 $80 $80 $70 $70 $38 $38 (2 (2 CALIFORNIA CALIFORNIA w/cot) w/cot) Triple Triple room room hotels, hotels, : : I I '----- ranked ranked requested requested the the beds) beds) ANAHEIM, ANAHEIM, $40 $40 $46 $46 $47 $64 $64 $66 $66 $36 $36 $38 $36 $36 $45 $45 $47 $44 $44 $70 $70 $70 $70 the the at at (2 (2 Triple Triple (date) (date) DATE DATE applicable. applicable. filled filled J J circling circling FORM, FORM, --,------I --,------I depart depart by by where where been been and and $40 $40 $58 $58 $32 $32 $40 $40 $64 $64 $60 $60 $42 $42 $60 $60 $32 $32 $42 $42 and and ARRIVAL ARRIVAL have have double double Twin Twin deposit deposit l l form, form, $50 $50 rooms rooms on on a.m./p.m., a.m./p.m., of of all all left left $40 $40 $40 $40 $42 $42 $58 $58 $60 $60 $32 $32 $42 $42 $64 $64 $60 $60 and and at at __ __ payment payment I I [ [ 1 1 spaces spaces ranked, ranked, in in arc arc include include etc., etc., $40 $40 $50 $50 $36 $36 $38 $38 $55 $55 $28 $28 $32 $28 $28 $41 $41 $58 $58 $60 $60 to to PREREGISTRATION/HOUSING PREREGISTRATION/HOUSING Single Single 3, 3, hotels hotels 1 1 and and 2 all all I I I, I, form. form. Express Express of of not not at at reverse reverse If If writing writing (8) (8) (7) (7) (2) (2) (4) (4) (1) (1) (6) (6) the the (9) (9) (3) (3) (5) (5) (10) (10) reverse reverse rate. rate. location location by by on on on on =American =American 11 11 Inn Inn D D indicate indicate and and available available tax. tax. Inn Inn 3 3 preference preference 8% 8% announcements. announcements. best best of of Anaheim Anaheim Anaheim Anaheim confirmation confirmation to to Park Park card) card) Inn Inn International International next next Country Country sections sections for for order order the the parentheses parentheses Inn- Inn- meeting meeting =MasterCard; =MasterCard; in in NAME NAME credit credit the the Tomorrow Tomorrow at at in in Lamp Lamp and and Carpet Carpet subject subject Roger Roger C C in in at at of of on on are are address address occupants: occupants: nn nn oily oily complete complete FULL FULL hotels hotels map map l l Marriott Marriott Magic Magic Magic Magic Holiday Holiday Quality Quality J J Hilton Hilton Travelodge Travelodge Town Town hotel hotel to to all all Numbers Numbers on on below below appears appears room room =VISA; =VISA; supply supply (date) (date) it it B B sure sure rank rank SECTION: SECTION: another another be be (as (as listed listed other other Please Please arrive arrive at at of of Please Please List List Check; Check; rates rates Name Name Please Please Will Will room room A= A= 4) 4) 1) 1) HOUSING HOUSING NOTE: NOTE: Order Order 2) 2) 3) 3) The The a a choice choice w w 00 00 00 00 Order Form (Use your peel-off label from the Notices) Ordered by: ______Mail to (if different): ______ QTY CODE AUTHOR and TITLE PRICE $ Shipping and Handling D Surface D Air Total due (All orders must be prepaid) $ To order using VISA or MasterCard (for book orders only) fill out the following or call 800-556-7774 D VISA D MasterCard. 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STATISTICAL DATA ANALYSIS maximum $100. Prepayment Is required. Order Ram Gnanadeallcan, Edltbr from American Mathematical Society, PO Box 1571. Volume 28, 1983, 142 pages Annex Station. Providence, Rl 02901-1571 USA. Softcover: List S17, institutional member S14, individual member S10 Other correspondence should be addressed to To order, please specify PSAPM/28N PO Box 6248. Providence. Rl 02940 USA. u-- util cc a=: "' u J! ' g til u ·- !f 8.~:5 Q til u "'C cc til ::'5! "' .5 ..!! > "'C u ...Q c: ·~ "'C Q. c: Q .... "' u "' Springer-Verlag Proudly Announces the ~ "'C Publication of the First Volume of ·~ the NEW MATHEMATICAL SCIENCES RESEARCH INSTITUTE SERIES ... About the series Volume 2 ... The series will present monographs, notes from Seminar on Partial topical courses given at the Institute in Berkeley, and seminar notes that focus on topics Differential Equations of current mathematical interest. All areas of Edited by S.-S. Chern mathematics will be covered - from pure with contributions by S. Antman, A. Chorin, P. mathematics to applications in physics. Two to Griffiths, R. Hamilton, F. John, T. Kato, J. four volumes are scheduled to be published Keller, R. Kohn, P. Lax, J. Marsden, R. each year. Melrose, J. Neu, R. Osserman, J. Polking, M. Protter, P. Rabinowitz, R. Schoen, A. Weinstein Volume 1 ... Instantons and Four-Manifolds Forthcoming ... DanielS. Freed and Karen K. Uhlenbeck Essays on Exterior This book is based on a seminar organized by Differential Systems M. Freedman and K. Uhlenbeck at the S.-S. Chern and P. Griffiths Mathematical Sciences Research Institute during its first two months in existence. The Vertex Operators in purpose of the seminar was to provide a Mathematics and Physics complete and detailed exposition of Simon Edited by J. Lepowsky, S. Mandelstam, Donaldsun's proof of the nonsmoothability of and I. M. Singer ~ certain topological four-manifolds. 1.1.1 0 0 N 'O:t Contents 0'1 0'1 ?5 N Cl;l Ill 0 Fake R'. The Yang-Mills equations. Manifolds N of connections. Cones on CP'. Orientability. ...1 a=: Taubes' < Introduction to Taubes' theorem. 8 u u' theorem. Compactness. The collar theorem. For more information write: z i= u Ill c: The technique of Fintushel and Stern. Springer-Verlag New York. Inc. Ill < u "0 A: The group of Sobolev gauge ~ "'C .. Appendix 175 Fifth Avenue 1.1.1 ·;;: ..... transformations. Appendix B: The New York, New York 10010 Ill ::I: ...Q c Pontrjagin-Thorn construction. Appendix C: Att: Ken Quinn ~ 1- Q. ..."' :::1 Weitzenboeck formulas. Appendix D: The < < oo' 1.!)"' u ~ 'O:t removability of singularities. Appendix E: ..c:.... z N ~ Topological remarks. Bibliography. .... IC ..."' Q < >< "'Q 1984/232 pp./43 illus./Cloth $15.00/ Springer-Verlag u Q Q,. util Q2 ISBN 0-387-96036-8 New York Berlin Heidelberg Tokyo u I ·.;::: 1.1.1 = E d Q ~ a.. z < a.: cw:::