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VI 0 0 Notices of the American Mathematical Society

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z 0 < ~ November 1982, Issue 221 ·5- Volume 29, Number 7, Pages 617- 720 ..,~ Providence, Rhode Island USA ISSN 0002-9920 Calendar of AMS Meetings

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet· ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions. MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 801 January 5-9, 1983 Denver, Colorado OCTOBER 12, 1982 january (89th Annual Meeting) 1983 802 March 18-19, 1983 Norman, Oklahoma JANUARY 20, 1983 February 803 April14-15, 1983 New York, New York FEBRUARY 15, 1983 April 804 April 29-30, 1983 Salt Lake City, Utah FEBRUARY 21, 1983 April 805 August 8-12, 1983 Albany, New York MAY 17, 1983 August (87th Summer Meeting) january 25-29, 1984 Louisville, Kentucky (90th Annual Meeting) January 9-13, 1985 Anaheim, California (91st Annual Meeting) january 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

DEADLINES: Advertising Uanuary Issue) November 16 {February Issue) February 3, 1983 News/Special Meetings: Uanuary Issue) November 1 {February Issue) january 17,1983

Other Events Sponsored by the Society january 3-4, 1983, AMS Short Course: Computer Communications, Denver, Colorado. This issue, page 674. April 12-13, 1983, AMS-SIAM Symposium on Inverse Problems, New York Statler Hotel, New York, New York May 1983, Symposium on Some Mathematical Questions in Biology, Detroit, Michigan June 5-August 13, 1983, AMS Summer Research Conferences, University of Colorado, Boulder, Colorado. This issue, page 697. june 20-july 1, 1983,. AMS-SIAM Summer Seminar on Large-scale Computations in Fluid Mechanics, Scripps Institution of Oceanography, Lajolla, California. This issue, page 693. july 11-29, 1983, AMS Summer Research Institute on Nonlinear Functional Analysis.

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Volume 29, Number 7, November 1982

EDITORIAL COMMITTEE Ralph P. Boas, Ed Dubinsky Richard j. Griego, Susan Montgomery Mary Ellen Rudin, Bertram Walsh Everett Pitcher (Chairman) 618 The Work of Bourbaki, jean Dieudonnti MANAGING EDITOR Lincoln K. Durst 624 Fulkerson Prizes Awarded ASSOCIATE EDITORS Hans Samelson, Queries 625 Queries Ronald L. Graham, Special Articles 626 Letters to the Editor SUBSCRIPTION ORDERS Subscription for Vol. 29 (1982): 629 AMS Elections of 1982 $36 list, $18 member. The subscription 630 26th Annual AMS Survey price for members is included in the annual dues. Subscriptions and orders Faculty Salaries, Tenure, Women, 630; for AMS publications should be 1982 Survey of New Doctorates, 635; addressed to the American Mathematical Salaries of New Doctorates, 638; Doctoral Society, P. 0. Box 15 71 , Annex Station, Degrees Conferred in 1981 -1982, 639 Providence, Rl 02901. All orders must be prepaid. 654 NSF News & Reports ORDERS FOR AMS BOOKS AND 655 News INQUIRIES ABOUT SALES, SUBSCRIP· TIONS, AND DUES may be made by 656 AMS Reciprocity Agreements (Supplement) calling Carol-Ann Blackwood at 800-556-7774 (toll free in U.S.) between 657 Future Meetings of the Society 8:00 a.m. and 4:15 p.m. eastern time, East Lansing, November 72-73, 657 Monday through Friday. Monterey, November 79-20, 666 CHANGE OF ADDRESS. To avoid Denver, january 5-9, 671 interruption in service please send Mathematical Sciences Employment Register, 690 address changes four to six weeks in AMS-SIAM Summer Seminar, 693 advance. It is essential to include the Norman, 696 member code which appears on the March 78-19, address label with all correspondence AMS Summer Research Conferences, 697 regarding subscriptions. Invited Speakers and Special Sessions, 694 INFORMATION ABOUT ADVERTISING 698 Special Meetings in the Notices may be obtained from Wahlene Siconio at 401-272-9500. 702 New AMS Publications CORRESPONDENCE, including changes 707 Miscellaneous of address $hould be sent to American Personal Items, 707; Deaths, 707; Mathematical Society, P.O. Box 6248, Visiting Mathematicians (Supplement), 707 Providence, Rl 02940. Second class postage paid at 708 Advertisements Providence, Rl, and additional mailing offices. Copyright© 1982 by the 716 Preregistration Forms American Mathematical Society. Employment Register, 716, 717, 718 Printed in the United States of America. Denver Preregistration and Housing, 719, 720 The Work of Bourbaki During the Last Thirty Years Jean Dieudonne

The Birth of Bourbaki mathematics. Applied mathematics were never considered, due primarily to the lack of competence The history of mathematics shows that, after and lack of interest of the collaborators; for some active periods introducing new ideas or techniques, time they toyed with the idea of including probability the necessity is felt of welding the novelties into a theory and numerical analysis, but this also was soon well-organized whole, accessible to all mathematicians dropped. and giving more powerful means to help them solve This ambition was kindled by the strong desire their problems. The famous works of Euclid and to return to the tradition of universalism, which Pappus clearly belong to that category of treatises had marked French mathematics in the previous two for geometry and arithmetic; Euler performed the centuries, and of which H. Poincare had perhaps same task for the algebra and analysis of his time, as been the most outstanding representative; but after did Laplace for celestial mechanics and probability. his premature demise, followed by the bleeding to A large part of Cauchy's papers may be put in that death of the young generation in World War I, French class of didactic expositions for algebra, analysis and mathematics had lapsed into more and more narrow elasticity, enriched by many original views; after him, specialization and provincialism; for instance, nobody Frobenius, around 1880, similarly acted as a legislator in France at that time knew anything about class in the more restricted field of linear algebra; Jordan field theory or the Hilbert-Riesz spectral theory, nor did the same for classical analysis in his Cours (with the exception of Elie Cartan, then totally d'Analyse which remained a model for forty years, isolated) about group representations or Lie theory. and Hilbert in his two masterpieces, the Zahlbericht Bourbaki's refusal to consider mathematics as a series for algebraic numbers and the famous Grundlagen of isolated compartments was from the beginning one der Geometrie. of his fundamental tendencies. Around 1930, it had become obvious to most research mathematicians that it was imperative to take stock and put some order in the giant The Main Features strides which had occurred since 1890 in almost all parts of mathematics. Think of all the new Starting from scratch was meant literally, not, theories born during that period: the Cantor-Zermelo as in all treatises or monographs then in existence theory of sets, linear representations of groups and (even van der Waerden's Moderne Algebra), merely noncommutative algebra, class field theory, general starting from some "naive" theory of sets. It meant and algebraic topology, Lebesgue integral, integral including the fundamental rules of logic, whilst equations, spectral theory and Hilbert space, Lie keeping as close as possible to the actual practice of groups and their representations, to name only the mathematicians. Among the several logical systems most conspicuous ones. Of course, in many of put forward since 1900, the one which seemed to these theories, very competent monographs were soon fit best with the general conception of the treatise written, sometimes by their originators. But very was the axiomatic theory of sets, as defined by often they suffered from the lack of suitable references Zermelo and completed by Fraenkel and Skolem to to the background they needed from other theories; include a system of formation of correct formulas, for instance, the splendid monograph of Elie Cartan on an entirely formalistic basis, where no meaning is on Lie groups (1932) had first to deal with basic attached to the symbols in use, and in particular no results on topological spaces and topological groups definition is given of the words "element" or "set." which were hard to find in the literature of that time One may perhaps insert here a small digression in the exact formulation used by the author. concerning Bourbaki's attitude towards the problem The conception of Bourbaki was much more of "foundations": it can best be described as total ambitious: starting from scratch, to lay the ground­ indifference. What Bourbaki considers as important work for all theories then in existence in pure is communication between mathematicians; personal philosophical conceptions are irrelevant for him. This article is the text of the lecture given by Hence, with respect to the meaning one should attach Professor Dieudonne at the Summer Meeting in to mathematics and its connection with the world of Toronto, as a part of the jointly sponsored AMS­ senses, Bourbaki has never tried to express publicly MAA Sessions on History of Mathematics. The any opinion, leaving everybody free to hold his own J. Barkley Rosser's talk in the same series text of views, as long as his mathematical writings conform appeared in the October 1982 Notices. to the rules of logic which are generally accepted,

618 i.e. those of Zermelo-Fraenkel. And regarding the abstract constructs such as groups, fields, rings, noncontradiction problems, Bourbaki refuses to join vector spaces, underlay many apparently disconnected those who wring their hands over the impossibility theories dealing with all kinds of mathematical of proving them, considering with Hadamard that objects, and that their simple general properties noncontradiction is something which can only be very often implied without effort special results ascertained at any given moment, and not proved a previously proved by complicated ad hoc arguments priori; if a contradiction should occur, one would or computations. This sometimes took quite a long simply have to eliminate or modify the part of the time: fifty years to reach the general concept of a Zermelo-Fraenkel axioms responsible for it. group, eighty years of obdurate resistance to the Returning to the overall conception of Bourbaki, ideas of vector space, linear mapping and exterior proofs were to be given in full (no part was ever algebra, 2 or the similar persistence of the horrible "left to the reader" or relegated to exercises), and ways in which local coordinates or tensor calculus (barring accidental mistakes, of which there were a were commonly conceived. few) with the utmost precision. This requirement now The contrast between the old obsolete classification seems a quite obvious one, but around 1930 it was of mathematics and the new outlook based on satisfied by papers on algebra, number theory and structures may be likened to the way naturalists most of classical analysis, 1 but there was still lots of changed their minds about the classification of controversy over proofs in topology, and even more in animals: at first they only took into account superficial algebraic geometry. The style of proofs which most similarities (e.g. porpoises and tuna had very similar influenced Bourbaki was the one exemplified by van shapes and similar reactions to their environment); der Waerden's Moderne Algebra, itself derived, as is later they discovered that a rational classification well known, from Dedekind and Hilbert through the had to rely on deeper anatomical and physiological German school of algebra of the 1920s, with Artin, E. characteristics. And just as in so doing, they Noether, Krull and Hasse as principal representatives. gradually discovered the wonderful unity of all What Bourbaki wanted to do was to describe in a living beings, so the mathematicians realized the similar style all the basic theorems of mathematics, fundamental unity of mathematics behind the very and to put in evidence their mutual relationships, different appearance of its various parts. using a uniform terminology and uniform notations In 1930 this evolution had already occurred in throughout, instead of treating each one separately algebra, as was clear when one compares van in disjoint monographs. der Waerden's book with previous ones. What The connecting link was provided by the notion Bourbaki did was to extend a similar outlook to of structure. This is not an invention of Bourbaki, all mathematics, with steadfast consistency, and a who anyway disclaims ever having invented anything. complete disregard of traditions when they clashed But it expresses in precise terms a trend which can with this new conception. It is immediately apparent be traced back at least as far as Gauss, namely the that there are several types of structure~, the growing conviction that the traditional classification simplest ones (i.e. those using the smallest number of mathematics was not really adapted to the deep of kinds of objects and of axioms) being algebraic nature of that science. This classical point of view structures, topological structures and structures of distinguished the various mathematical disciplines order (the ones which Bourbaki called "fundamental according to the mathematical objects with which structures"). But it has been clear since Cantor they dealt: arithmetic was the science of numbers, that in the concept of real number these three types geometry that of spatial objects, algebra the study of structures are all present with various relations of equations, analysis the study of functions, etc. between them. Accordingly, and in defiance of However, it was gradually realized that arguments tradition, Bourbaki did not hesitate to postpone or results belonging to one of these "slices" of the introduction of real numbers to the third book, mathematics, so to speak, unexpectedly could be after the general properties of the three fundamental applied to other "slices," and that what really structures had been dealt with, and even combined mattered was not the nature of the objects under as in the theory of topological groups. consideration, but their mutual relations, although So much then for the frame of the treatise, its this often only came to light after deep and skeleton so to speak. The big question was now painstaking study; for instance, it is true but far from what substance should be molded in that frame, evident that in many respects prime numbers behave what flesh would cover that skeleton. In other as points in the complex plane, or square integrable words, from the beginning the main problem functions as vectors in a euclidean space. was a problem of choice. Encyclopredic ambitions were ruled out It was also during the nineteenth century (chiefly from the start, and not only for obvious material after 1840) that progress in various parts of reasons. What was envisioned was a repertory of the mathematics brought to light that elementary most useful definitions and theorems (with complete 1I strongly doubt, however, that before 1930 there proofs, as said above) which research mathematicians was a single textbook on holomorphic functions where the might need; they should be easily accessible without Cauchy formula was correctly stated and proved, with due mention of the index of a point with respect to the path of 2Witness the infamous book of MacDuffee, published integration. Think also on all the muddleheaded nonsense in 1933; in my opinion the worst book ever written on about "multiform" (or "multivalued") analytic functions. algebra, in spite of its great success.

619 painstaking bibliographical digging, and presented Regarding the choices made by Bourbaki of the with a generality suited to the widest possible range notions and results which he considers important, of applications, so that a mathematician would not it is therefore useless to look for his official have to adapt them to his particular problem. For pronouncements on the matter, since they don't instance, in their work on functional analysis, Hilbert, exist; and nobody, including myself, has ever been F. Riesz, Helly and others had to use a device which authorized to speak in his name. All one can do is to they called a "principle of choice," for which each offer his own interpretation, and I beg you to keep in of them had first to give a special proof adapted mind that what follows is purely personal. to the space he was considering. But it turns out This opinion is based on my conviction (which that all these "principles" are special cases of a I believe is shared, at least implicitly, by most single theorem, stating that for any Banach space, collaborators of Bourbaki) that mathematics is the the closed unit ball in its dual is weakly compact. opposite of a democracy. History shows that the Therefore it is that theorem which the worker in really seminal ideas are due to a small number of functional analysis should find in Bourbaki. first-rate mathematicians: certainly not more than In other words, Bourbaki's treatise was planned 20 in the eighteenth century, maybe 100 in the as a bag of tools, a tool kit for the working nineteenth, many more in our time, but still a very mathematician, and this is the key word which I small percentage of all professional mathematicians; think everybody should keep in mind when talking it is as childish to deny such a well established about Bourbaki or discussing its plan or contents. fact as it would be to rebel against the force of One of the consequences of this deliberate gravity. Everyone has his own limits, and those orientation is that even famous theorems are not who did not receive the gift of inventive imagination included if they are essentially dead ends without bestowed on the great creators can still bring a foreseeable further possibilities of application. For very useful contribution to science by elaborating the instance, Galois theory is a wonderful tool in number new ideas into more palatable forms, enriching them theory and algebraic geometry in particular, and as with pertinent commentaries and disseminating them such it is thoroughly treated in Bourbaki. However, among students and colleagures. If I may here inject Galois' criterion of resolubility by radicals (which a personal note, I would say how grateful I am that was the goal he pursued in the first place and for fate granted me the privilege of living and working in which he invented the theory) is not mentioned at contact with some of the greatest mathematicians of all, in contrast with many books on algebra, because our time, and thus being able to fulfill the role I just since its discovery it has never found significant new mentioned of spreading their ideas and discoveries. applications; it beautifully solved an old and difficult It therefore seems to me that, when examining problem, but intrinsically it was a dead end. which tools should be included in Bourbaki, a decisive What I have said up to now exhibits a typical element was whether or not they had been used by feature of Bourbaki, its austere, unrelenting, unbend­ great mathematicians, and what degree of importance ing and uncompromising disposition. There has been these mathematicians had attached to these tools; plenty of discussion between Bourbaki's collaborators opinions of other people were deliberately ignored. during the elaboration of the various chapters, which The mathematicians who had the deepest influence generally extended over many years; but none ever on Bourbaki were probably, in Germany, Dedekind, transpired publicly, and Bourbaki has never engaged, Hilbert, and the school of algebra and number theory under his name, in polemics with the "outside world," of the 1920s; and in France, H. Poincare and Elie so to speak, in spite of the many criticisms to which Cartan. Although these great mathematicians are he has been subjected. Neither has there ever been very different from one another, both in their style any propaganda published by him in favor of his and in their fields of research, they have had a ideas, nor even a statement of policy or purpose, with common philosophy of mathematics, namely to try three exceptions: first, in the early years of Bourbaki, to solve classical problems by methods involving an article on "the architecture of mathematics" "abstract" new concepts, and that is also, in my describing his concept of the hierarchy of structures, opinion, the central idea of Bourbaki. This means and another one on "foundations of mathematics that on one hand Bourbaki is strongly in favor of for the working mathematician" 3 on the system of applying to old problems all the power gained from logical rules adopted as a basis for the treatise. The the axiomatic study of structures; but on the other third exception is the leaflet entitled Directions for hand he refuses to have anything to do with the use inserted in every volume, which essentially is mathematicians who indulge in abstract theories with limited to a description of the material organization no motivation, the axiomatic trash which fills so of the books into chapters, sections, lists of problems many of our journals. and their mutual dependence. I think this refusal Summing up, we see that, in spite of its initial aim of all discussion or controversy stems from the belief at universality, the scope of the Bourbaki treatise that a mathematical text has to stand or fall on its has finally been greatly reduced (although to a still own merits, and should not need any advertising­ respectable size) by successive elimination of: an attitude which can be summarized as "take it or 1) the end products of theories, which do not leave it." constitute new tools; 3Published in the Journal of Symbolic Logic 14 (1949), 2) the unmotivated abstract developments scorned 1-8. by the great mathematicians;

620 3) a third restriction comes from the fact that Before Bourbaki, authors such as van der some very active and very important theories (in Waerden had used the capitals N,Z,R,C to the opinion of great mathematicians) still seem designate the sets of natural integers, rational very far from a clear description in terms of an integers, real and complex numbers respectively. interplay of perspicuous structures; examples are Bourbaki advocated the use of bold face characters finite groups or the analytic theory of numbers; for these notations, in order to free the usual 4) finally, there are parts of mathematics where Roman or Italic characters for other purposes, the underlying structures are well in evidence, and he added to these letters Q for rational but in such an ebullient state, with an unending numbers and H (first proposed by Bott) for influx of powerful new ideas and methods, that quaternions. These notations (happily completed any attempt at organization is doomed to almost by the "Japanese" convention: N, 7L, etc. in immediate obsolescence: think of algebraic and manuscripts or mimeographed texts) are now differential topology, or algebraic geometry, or accepted by a great majority. But most dynamical systems. Anglo-Saxon writers have refused to accept Fq The initial plan of Bourbaki was thus limited to the for finite fields and still use Dickson's GF(q). three basic structures of order, "general algebra" and Other notations endorsed by Bourbaki and now "general topology," to some of their combinations widespread are x 0 y and x 1\ y for tensor and exterior products, (x, such as topological groups and topological vector y) for bilinear forms and u(E,F) for weak topology. spaces, and finally to elementary calculus and integration theory. Later, it turned out that it Concerning terminology, Bourbaki's attitude, was also feasible to include commutative algebra, Lie as expressed in his Directions for use, is to groups and algebras (but not algebraic groups), and accept or at least tolerate traditional terminology, some spectral theory; and at least parts of analytic unless it is ambiguous, or ungrammatical, or geometry are now being considered for possible incompatible with the normal use of language. inclusion. It turns out that in many fields of recent origin, a number of mathematicians, mainly of Anglo-Saxon or German origin, were guilty of The Reaetions to Bourbaki particularly acute carelessness in showing a total lack of imagination and a complete contempt for Let us now turn to the reactions of the mathe­ their languages; a typical sin was their abuse matical world towards Bourbaki. The publication of abbreviations, against which Bourbaki reacted of the first volumes unfortunately was made at a strongly, thinking ink and paper are cheap enough most inauspicious time, since it coincided with the to avoid them altogether. In such cases, Bourbaki outbreak of World War II. So, at first, they were of felt it a duty to introduce a new terminology; he course totally unnoticed, and I think it is probable was chiefly guided by two principles: use words that they came to the attention of mathematicians as short as possible and easy to translate into through mention made of them (mostly in footnotes) the main scientific languages, and if possible find in the individual papers of collaborators of Bourbaki. names evocative of the notions they designate or As the time needed for the elaboration of each volume of their originators. varied a great deal, the order of publication was very Take for instance Baire's unfortunate terminol­ different from the logical order of the chapters and ogy of "nowhere dense sets" and "sets of first books, and it was hardly possible to have a reasonable category"; Bourbaki, with limited success, tried grasp of the global organization of the treatise before to replace it by "rare sets" and "meager sets" . Or the mid 1950s. Since then the number of references to consider Krull's book of 1935, Idealtheorie, with Bourbaki's books has appreciably increased, mostly the following terminology: of course in papers written in French (although an 0-Ring: ring with ascending chain condi­ English edition has been made of some parts of the tion; treatise). To these should be added what I think one U-Ring: ring with descending chain condi­ could call indirect quotations, namely to monographs tion; written after the publication of Bourbaki's books, ZPJ-Ring: ring with unique decomposition of but clearly inspired by them {much as Bourbaki's an ideal into prime ideals; algebra had been inspired by van der Waerden); ZPE-Ring: ring with unique decomposition of specialists may well consider it easier to refer to these an element into prime elements. monographs rather than to the bulky Bourbaki. Bourbaki replaced it by: noetherian rings, ar­ As I said above, the choice of notations and tinian rings, dedekind rings and factorial rings terminology was done by Bourbaki with extreme care. respectively; the first three terms have been readily In set theory he popularized the notations n , U and accepted, but not the fourth, for no apparent par­ 0 for intersection, union and the empty set, which ticular reason except the obdurate conservatism have become universally accepted; he did not have ingrained in so many mathematicians. For other the same success for C (a large proportion of authors examples of that conservatism consider Bourbaki's still prefer <:;;), and still less for C(complementary), failure to replace "division ring" by "field" ("skew and pr1 and pr2 (projections). field" if necessary); one will also recall the protest

621 of S. MacLane (reviewing Bourbaki's Algebra in the case; so "Wait and see" is what prevails in 1948) against the use of the word "algebra" when this respect. the scalars form a ring and not a field (I think since One often hears people wondering why Bourbaki then he has changed his mind); and the refusal of has not undertaken to publish a chapter on Soviet mathematicians to use "compact" instead categories and functors. I think one of the of the meaningless "bicompact" (a space cannot reasons is the following: the parts of mathematics be twice compact!). A proposed terminology may where these concepts are extremely useful, such as be perfectly logical, but this is not enough to algebraic geometry and algebraic and differential ensure its acceptance; an example is given by topology, are among those which Bourbaki cannot Bourbaki's proposal to understand "positive" in contemplate including in the treatise, for reasons an ordered group as :2:: 0 (of course Bourbaki calls mentioned above. For many other parts of "ordered" what many persist in calling "partially mathematics, it is certainly possible to use the ordered" in spite of the fact that the latter are language of categories and functors, but they do much more numerous than the former); however not bring any simplification to the proofs, and the old terminology "nonnegative" is still in use, even in homological algebra (treated, for modules, in spite of the fact that it is patently absurd (in in a recent Bourbaki chapter), one can entirely do the ordered group of real functions on an interval, without their use, which would only amount to a "nonnegative" function f would be such that introducing extra terminology. f(x) :2:: 0 for some x, and not f(x) :2::0 for all x). When Bourbaki's algebra was published, it One of the few great successes of Bourbaki in the could not, of course, do much better than van matter of terminology has been the introduction der Waerden in many parts of algebra; but of the words "surjective" and "bijective", which two theories, which were to become basic in all together with the already used "injective" formed mathematics, were not yet to be found in van a coherent system, replacing the ungrammatical der Waerden: duality of modules and multilinear use of "onto" (which is even worse in French); algebra. In particular, I think it can be said that this was universally adopted almost overnight. Bourbaki's treatise was the first to give a complete Another widely accepted terminology was the and useful exposition of Grassmann's exterior distinction between "closed balls," "open balls" algebra, which was unreadable in Grassmann, and and "spheres" in metric spaces, where a lot of even worse in the books written by the third-rate confusion existed before 1940. But when Bourbaki mathematicians who had followed him. The new tried to repeat these successes with "algebra", edition, which is not yet finished, includes more "cogebra" and "bigebra", he was only followed by material (found necessary in many applications, in a few people, although "bialgebra" is as absurd particular in commutative algebra) but no major as "bicompact" (it does not imply two algebra changes, with the exception of the new chapter structures!!). on homological algebra mentioned above. The rapid and spectacular transformation of algebraic geometry after 1945 led Bourbaki to The Evolution of Bourbaki undertake the publication of a new book on commutative algebra; although it is not yet I shall conclude with some (again strictly complete, it seems likely that a new edition will personal) comments on the initial conceptions of be necessary to take into account many new Bourbaki and how they eventually were modified concepts and results which have been found useful in the span of 30 years. Contrary to what is in algebraic geometry. often said, Bourbaki's attitude is not at all rigid, The basic notions of general topology had been and he is always willing to change his point treated in the books of Hausdorff, Kuratowski and of view whenever the evolution of mathematics Sierpinski before the publication of Bourbaki's justifies the inclusion of new notions, or shows book on the subject. But again that book that existing ones which he had neglected are was the first in the literature to consider filters, more useful than he had previously thought. But uniform spaces, topological groups and function he will never yield to a mere fad, even a popular spaces. The main changes in the new edition one; his motto is "Wait and see." were again chiefly due to the influence of algebraic I have already described Bourbaki's attitude geometry: a section on proper mappings was towards logic and set theory, which is to include added, and an even more conspicuous change as little of it in the treatise as possible, namely was a more thorough study of spaces which do just what is absolutely necessary for the proofs not satisfy Hausdorff's separation axiom. In of what Bourbaki considers to be important the first edition, these spaces were considered theorems. Since 1950 logic has made tremendous pathological, since no one knew of any part of progress, but in Bourbaki's opinion it has not mathematics where they naturally occurred. But brought enough new tools for mathematicians to after 1950 the Zariski topology became a tool of compel a change of attitude. It is possible that great importance in algebraic geometry, and of in the future the present growth of non-standard course it is not Hausdorff; other kinds of non­ analysis and similar uses of mathematical logic Hausdorff spaces also came to light at about the will yield startling discoveries, but this is not yet same time in spectral theory.

622 Bourbaki's volume on topological vector spaces tendency to publish empty mathematics and to was also the first textbook on locally convex do generalizations for generality's sake. Whenever spaces. It contained, of course, all the results it was decided to include a notion or a main proved in Banach's famous book, but put in theorem in Bourbaki, it was only after prolonged a more general and more useful perspective; discussion, in which its advocates were required in addition it contained all the tools necessary to show in which results these notions or results for the applications of topological vector spaces were a crucial tool. In other words, no one to the modern theories of distributions and can understand or criticize the choices made by partial differential equations. Of course, another Bourbaki unless he has a solid and extended fundamental tool in modern functional analysis is background in many mathematical theories, both spectral theory, and Bourbaki has undertaken to classical and more recent; that is, of course, write a book on that subject, but a large part why Bourbaki thinks a premature reading of the of it is still in the preparatory stage. I don't treatise may do more harm than good. But he has think it is also necessary to speak of Bourbaki's no means to prevent such a misguided behavior, book on Lie theory (also not yet complete); it for it would imply engaging in polemics, and as comes after many others, and is only notable for I told you that is something he has steadfastly its thoroughness. refused to do. However, there is a way to test his The final and most controversial Bourbaki book opinions on that question, namely to look at the is the one on integration and measure theory. list of the nearly 600 "exposes" which were given Bourbaki considers the integral as an essential tool in the Seminar he has sponsored during the last in functional analysis, applicable in particular to 25 years; I think an impartial observer will not fail continuous functions, on which it is a linear form; to recognize that they include most of the theories it thus appears as one member of a whole family which have been the subject of talks made at of linear forms, the distributions. But of course the invitation of International Congresses, or on this means that the measures linked to integrals which the recipients of international prizes have are Radon measures defined on topological spaces. worked; and on the other hand, almost none of This does not meet the needs of probabilists, who them deals with empty generalizations. use measures defined on "tribes" ("u-rings" in the Of course nobody can predict the future of awful Anglo-Saxon terminology) of subsets of sets Bourbaki, for it cannot be separated from the without any topology, and frequently they have to future of mathematics. It may be that once deal with variable tribes of subsets; in consequence the books on which he is now working reach they reject the Bourbaki point of view. At present completion, his collaborators will decide that, for the deadlock has not been resolved. reasons mentioned above, it is not advisable to Finally, I would try to answer some criticisms undertake writing up other parts of mathematics, directed, in fact, not at Bourbaki himself but and that the treatise could come to an end, until at the use which is sometimes made of his future progress makes it obsolete, as happened treatise. The easiest and simplest answer is, of to all its predecessors. But it is also conceivable course, to say that an author cannot be held that sudden unexpected developments may bring responsible for the fact that some people refer drastic changes in our present conception of to his books, once they have been published, to mathematics, and then it might be useful to justify theories or actions which he had neither contemplate at least a partial revision to maintain intended nor foreseen. To be more specific, one the fundamental purpose: to provide tools for the of the things for which Bourbaki is blamed is working mathematician. the early introduction, in elementary teaching, of abstract and generally useless (at that level) notions, a tendency sometimes referred to by the name "new maths." Let me remind you that the purpose of Bourbaki's treatise is to provide tools for "working mathematicians," i.e. those engaged in research; therefore it has nothing to do with any teaching below the level of the graduate Beginning in 1983, the proceedings of the schools of the major universities. There is not the Bourbaki Seminars will be published by the slightest trace of opinions expressed by Bourbaki Societe Mathematique de France in the series as to the feasibility or advisability of introducing Asterisque. The American Mathematical Society the concepts described in his treatise at a lower has recently concluded an agreement with level, and certainly not in primary or secondary the Societe Mathematique de France for the schools; the proponents of such aberrations are distribution of Asterisque in North America, usually people whose knowledge of present day effective January 1983. See page 704 of this issue mathematics is scanty, to say the least. of the Notices for a detailed announcement, including subscription information and a list of It turns out that the same answer may be the past titles which will be available from the given to another attack on Bourbaki's point of AMS. view, namely that he would have encouraged the

623 Fulkerson Prizes in Discrete Mathematics

The Delbert Ray Fulkerson Priiile in Discrete made. Among the many discrete optimiiilation Mathematics was established in 1977 by friends of problems in operations research, none has been the late Ray Fulkerson. It is sponsored jointly by more thoroughly investigated than that of linear the Mathematical Programming Society and the programming. Yet in spite of this effort, until American Mathematical Society and is awarded 1979 the computational complexity of linear for outstanding papers in the area of discrete programming had defied classification into either mathematics. being solvable in polynomial-time or being NP­ The guidelines for the Fulkerson Priiile require complete. Indeed, there were some researchers that in order to be eligible, a paper must who felt that linear programming was a good have been published during the six calendar candidate for an example of a problem which years preceding the International Mathematical was not in P (the class of problems solvable Programming Symposium at which the priiile is by polynomial-time algorithms) and not NP­ awarded. They also specify that up to three complete. (The reader unfamiliar with these priii5es may be awarded in each three-year period concepts can find an excellent discussion in the between consecutive Symposia and, in the case of book by M. R. Garey and D. S. Johnson, joint authorship, the priiile will be shared. Computers and intractability: A guide to the The Fulkerson Prize Committee, consisting theory of N P -completeness, W. H. Freeman and of Richard A. Karp, Victor L. Klee, Jr., and Company, San Francisco, 1979). It is known Ronald L. Graham (Chairman) elected to award that such problems must exist if P #- NP. What three Fulkerson Priiiles at the 11th Mathematical Khachiyan's paper provided was a proof that Programming Society Symposium, held in Bonn linear programming in fact belonged to P, thus during August 23-27, 1982. The recipients and resolving an important theoretical issue that had the respective papers cited for the awards are plagued researchers for years. His results were listed below in chronological order of publication. based on an adaptation of the ellipsoid method One priiile is awarded jointly to for convex optimiiilation first described in the D. B. Judin and A. S. Nemirovskil cited paper of Judin and Nemirovski'l. This algorithm for linear programming is radically for their paper, Informational complexity and different from the standard (and highly effective) effective methods of solution for convex extremal simplex algorithm, and does not depend directly problems, Ekonomika i Matematicheskie Metody on the linearity of either the constraints or the 12 (1976), 357-369, and to objective function. It should be pointed out that L. G. Khaehiyan the theory developed by Judin, Nemirovskil and for his paper, A polynomial algorithm in linear Khachiyan, rests firmly on the pioneering work programming, Akademiia Nauk SSSR. Doklady done by the Soviet mathematician N. Z. Shor in 244 (1979), 1093-1096. the late 1960s and early 1970s. One priiile is awarded jointly to Although the ellipsoid method is not (yet) a serious competitor to the simplex algorithm G. P. Egoryehev for the solution of everyday linear programming for his paper, The solution of van der Waerden's problems (it was not designed to be), it has problem for permanents, Akademiia Nauk SSSR. proved to be an extremely potent tool in the Doklady 258 (1981), 1041-1044, and to arsenal of combinatorial optimiiilers. In the cited D. L Falikman paper of Grotschel, Lovasiil and Schrijver, the for his paper, A proof of the van der Waerden ellipsoid method is applied to provide for the conjecture on the permanent of a doubly stochastic first time polynomial algorithms for the basic matrix, Matematicheskie Zametki 29 (1981), 931- problems of minimiiiling submodular functions 938. and finding maximum independent sets in perfect One priiile is awarded to graphs, as well as providing relatively "easy" unified proofs of the polynomial solvability of M. Grotsehel, L. Lovasz and A. Sehrijver This report was prepared by Ronald L. Graham, for their paper, The ellipsoid method and its chairman of the Fulkerson Priiile Committee, for consequences in combinatorial optimization, Com­ publication in the Notices and in Optima, the binatorica 1 (1981), 169-197. newsletter of the Mathematical Programming It is appropriate here to make a few remarks Society. concerning the work for which the awards were

624 a number of other combinatorial optimization problems. Equally important, Grotschel, Lovasz Queries and Schrijver also show that a wide variety of optimization problems and their corresponding Edited by Hans Samelson (apparently simpler) "separation" problems are actually computationally equivalent. While there QUESTIONS WELCOMED from AMS members is not space here to go into these important regarding mathematical matters such as details of, ideas or references to, vaguely remembered theorems, any further, it seems clear that their power is just sources of exposition of folk theorems, or the beginning to be tapped. For an excellent in-depth state of current knowledge concerning published or survey of all aspects of the ellipsoid method the unpublished conjectures. reader should consult: R. G. Bland, D. Goldfarb, REPLIES from readers will be edited, when and M. J. Todd, The ellipsoid method: A survey, appropriate, into a composite answer and published Operations Research 29 {1981), 1039-1091. in a subsequent column. All answers received will ultimately The papers of Egorychev and Falikman each be forwarded to the questioner. present elegant and surprisingly simple QUERIES and RESPONSES should be typewritten proofs of if at all possible and sent to Professor Hans the notorious ''permanent" conjecture of van der Samelson, American Mathematical Society, P. 0. Waerden. This conjecture, which had resisted Box 6248, Providence, Rhode Island 02940. the efforts of mathematicians for nearly 50 years, asserted that the permanent of any n by n doubly stochastic matrix (i.e., having nonnegative entries Query and all row and column sums equal to 1) is always at least as large as n!/nn. The strong form of 265. A. W'Ilansky {Department of Mathematics, the conjecture {also proved by Egorychev) was Lehigh University, Bethlehem, Pennsylvania 18015). that the unique matrix achieving this value has Let X be a BK space containing all finite sequences. all entries equal to 1/n. In a sense, both proofs Write (a) X/3 is closed in X', (b) X/3 is closed in have their roots in an earlier paper of Marcus Xf, (c) X has bounded sections. Does (a) imply (c)? and Newman, On the minimum of the permanent Does (b) imply (c)? Does {a) imply (b)? of a doubly stochastic matrix, Duke Mathematical Journal26 {1959), 61-72, and both rely on a key lemma which turns out to be a special case of the Alexandrov inequalities for mixed discriminants of quadratic forms {although Falikman's proof is AMS TRANSLATIONS-SERIES 2 completely self-contained). An excellent overview {ISSN 0065-9290) of the two proofs has recently appeared in: J. C. Lagarias, The van der Waerden conjecture: Two EIGHT LECTURES DELIVERED Soviet solutions, Notices of the AMS 29 {1982), AT THE 130-133. INTERNATIONAL CONGRESS OF MATHEMATICIANS IN HELSINKI The presentations of the Fulkerson Prizes took edited by Lev}. Leifman place during the opening day ceremonies of the G. 5. Makanin, Equations in a free Symposium. Unfortunately, due to last minute semigroup A. A. 5uslin, The cancellation problem for projec· circumstances beyond their control, none of the tive modules and related questions recipients from the Soviet Union were able to be V. M. Harlamov, Real algebraic surfaces present. 5. V. Bo'fkarev, The averaging method in the theory of orthogonal series A. D. Ventcel', Large deviations for random pro­ EDITOR'S NOTE. Of the five articles cesses cited by A. A. 5amarskii, Numerical the Fulkerson prize committee, one was written in solution of problems in English and four in Russian. Of the latter, three mathematical physics have been translated into English and may be found 5. V. jablonskii, On some results in the theory of in the following places (Mathematical Reviews numbers function systems in brackets): A. I. Markukvi~, Some questions in the history of Egoryehev: Soviet Mathematics Doklady (American the theory of analytic functions In the nineteenth Mathematical Society, Providence) 23 (1982), 619- century 622. (MR 82e:15006, 83b:15002a, 83b:15002b, 1980 Mathematics Subject Classifications (Major headings): 83b:15003] 01, 13, 14, 20, 30, 42 Falikman: Mathematical Notes of the Academy of Volume 117, vi + 52 pages Science of the USSR (Consultants Bureau, New York) List price $13, institutional member $10, 29 (1981), individual member $7 475-479. [MR 82k:15007] ISBN 0-8218-3069·4; LC 81-10769 Khaehiyan: Soviet Mathematics Doklady Publication date: August 1981 (American Mathematical Society, Providence) 20 To order, please specify TRANS2/117N (1979), 191-194. [MR 80g:90071] The paper by Judin & Nemirovskil was reviewed Prepayment is required for all AMS publications. in Mathematical Reviews (MR 56#10965], but has not Order from AMS, PO Box 1571, Annex Station, appeared in translation. Providence, Rl 02901, or call 800-556-7774 The paper by Grotsehel, Lovas and Sehrijver is in to charge with VISA or MasterCard. English but has not yet been reviewed.

625 Letters to the Editor

Refuseniks Field: Topology of manifolds. Refused: 1975; has an offer of a position at Temple University. Spouse: Evangelina; There has been some discussion in the Notices Two sons: Mark (1961), llya (1966). of the situation in Soviet Mathematics. We are 2. Mark Berenfeld, M. Shchukinskaya 17, Apt. 50, writing to you today in the hope that you can help Moscow 123098, USSR (tel. 193-8863). Born: 1940; Ph.D.; our common colleagues in the USSR. Many of Field: Partial differential equations. Refused: 1976. Spouse: them-you know it well-are in serious trouble. Evgenia (1945); Son: Benjamin (1973). Those who are in prison camps (we think of 3. Maya M. Blank, ul. H. Lifshitz 27-a, Apt. 10, Velikanova, Shcharansky, Brailovsky, as well as Kishinev 277024, USSR. Born: 1946; Field: Applied others) are in the most urgent need of help. In mathematics, Numerical methods. Refused: 1980. Reason: no close relatives in the West. Spouse: Fred; Two children: addition, there are many mathematicians who ages 3 and 11. Fired from the Mathematics Institute in have applied for permission to leave the USSR Kishinev after applying for a visa to emigrate. Since that and to whom such permission has been denied time, unemployed. or whose request has not even been answered, in 4. Irena Brailovsky, Vernadskogo 99/4/128, Moscow some instances for many years. USSR. Born: 1936; Ph.D.; Field: Theory of viscosity. Most of these mathematicians have lost their Refused: October 1, 1972. Spouse: Viktor (1935), jobs and are harassed and persecuted. The Cyberneticist, Prisoner of Conscience 1981-1982; was authorities take all measures to impede their leader of Moscow unofficial scientific seminars until his scientific work: they have no possibility of arrest. Two children: Leonid, 18, and Dahlia, 7. 5. Nina Brumbq, Kosinskaya 16, Apt. 212, Moscow publishing in the USSR, they cannot take part in 111538 USSR (tel. 375-4925). Ph.D.; Field: Algebra. the meetings even within the USSR, etc. These Waiting for visa since 1979; Refused: 1982. colleagues are living in a state of limbo. 6. Leonid A. Dickey, Leningradsky Prospect 28, Apt. As has been mentioned in the Notices before, 59, Moscow 125040 USSR (tel. (7095) 214-02-24). Born: these people can benefit from your encouragement 1926; M.S., Moscow University, 1949; Ph.D. Moscow and help. We urge you to: University, 1956; D.S. (2nd Soviet Degree), Moscow (1) Correspond on your official letterhead with University, 1969; Field: Non-linear differential equations, Hydrodynamics and Physics of atmosphere. First visa those colleagues who work in your particular field, application: June, 1979; Refused: December, 1980. Spouse: offer them professional and other assistance as Nina Bagdatieva (1927); Ph.D. in mathematics. Children: you can. Bergey (1950), Ekaterina (1957), Nikolai (1964). Had (2) Contact your senators and representatives a position of Professor, Department of Physics, Moscow and request their aid. Ask them to write letters University since 1965. Fired from Moscow University on to these mathematicians and to protest to Soviet December 23, 1980. Monographs: 1. The theory of oscillations authorities. of the earth atmosphere, Hydrometizdat, Leningrad, 1969; 2. The hydrodynamic stability and dynamics of the atmosphere, (3) Send letters of concern on your official Hydrometizdat, 1975. Person to contact: V. Shlyapentokh, letterhead to members of the Soviet Academy of Department of Sociology, Michigan State University, East Sciences and other Soviet authorities, some of Lansing, Ml (tel. 517-355-7632, home; 517-355-7801, whose addresses appear below. office.) J. Bernstein, University of Maryland; M. Brin, University of Maryland, College Park; I. Dolgachev, Poliey on Letters to Editor University of Michigan, Ann Arbor; E. Dynkin, Cornell University; I. Gohberg, Tel Aviv University; M. Letters submitted for publication in the Notices are Gromov, Universite de Paris VI; A. Katok, University reviewed by the Editorial Committee, whose task is of Maryland; M. Kleiner, Syracuse University; to determine which ones are suitable for publication. B. Korenblum, SUNY, Albany; L. G. Makar­ The publication schedule requires from two to four Limanov, Wayne State University; V. D. Milman, months between receipt of the letter in Providence and Tel Aviv University; B. Raykhshteyn, Susquehanna publication of the earliest issue of the Notices in which University; A. Ruchin, Purdue University; B. Schein, it could appear. University of Arkansas; L. Vaserstein, Pennsylvania State University, University Park; B. Weisfeiler, Publication decisions are ultimately made by majority Pennsylvania State University, University Park. vote of the Editorial Committee, with ample provision for prior discussion by committee members, by mail or Addresses of Soviet authorities: at meetings. Because of this discussion period, some Dr. Anatoly Alexandrov, President, Soviet Acad­ letters may require as much as seven months before a emy of Sciences, Leninsky Prospect 4, Moscow final decision is made. V-71, USSR; The committee reserves the right to edit letters. Leonid Brezhnev, The Kremlin, Moscow, USSR; The Notices does not ordinarily publish complaints Ambassador Anatoly Dobrynin, Soviet Embassy about reviews of books or articles, although rebuttals to the U.S., 1125 16th Street, N.W., Washington, and correspondence concerning reviews in the Btdletin D.C. 20036. of the American Mathematical Society will be considered for publication. The following is a partial listing of those needing Letters should be mailed to the Editor of the your help. Notices, American Mathematical Society, Post Office Box 6248, Providence, Rhode Island 02940, and will be 1. Solomon Alber, Chernogolovka Pervaya ul. 16/28, acknowledged on receipt. Moscowskaya Oblast, USSR. Born: 1931; Ph.D. 1956;

626 7. Yakov Matveevich Eliaahberg, 6th Krasnoarmey­ Boris was fired from his last job in November, 1977. Irina skaya 22, Apt. 2 Leningrad 198052, USSR (tel. (7812) has not worked since 1975. 292-7809). Born: 1946. M.S. Leningrad University, 1969, 14. Natan Gurary, Bairona 144-V, Apt. 1, Kharkov, Ph.D. Leningrad University, 1972. First Visa Application: Ukranian SSR, USSR. Born: 1941; Ph.D. Spouse:, Elizaveta, October, 1979. Refused: January, 1980. Reason: departure (1940), mathematician; Children: Edward (1965), Vadim might be harmful to the USSR. However, he has never (1971). had security clearance. Spouse: Ada Manusovna (1947); 15. Alexander lolfe, Profsoyuznaya 85, korp. 1, Apt. Children: Vitaly (1972) and llia (1977). Employment: 203, Moscow 117279, USSR. Born: 1938; Ph.D. Field: Syktyvkar State University, 1972-1979. Resigned from Variational calculus. Member: NY Academy of Science. position of professor and chairman of the mathematics Refused: December, 1976. Spouse: Rosalia (1938); Children: department in order to apply for an exit visa. Eliashberg Dimitri (1963), Anya (1972). could not find professional employment. Worked for 16. Abram Kagan, Karpinskogo 14, Apt. 86, Leningrad, four months as school teacher and six months as USSR. Born: 1936; M.S., Tashkent University, 1958, Ph.D., watchman at a garage. Appealed to authorities, including Leningrad University, 1963; D.S., Leningrad University, Supreme Council of the USSR, but received neither any 1967; Field: Mathematical statistics (estimation theory, assistance with employment nor unemployment payment. sufficient statistics, characterization problems, linear in­ Eliashberg's petitions to be allowed to leave the USSR ference). Visa Application: January, 1977; Refused: March, (one sent to President Brezhnev) have never received any 1977. Spouse: Svetlana (1936); Children: Vadim (1963), written answer or any explanation of the reason for the Klara (1970). Positions held: 1965-present: Senior Re­ refusal. Field: Geometry of manifolds. His recent solution searcher at the Leningrad Branch of Steklov Mathematical of principal problems of symplectic structures lays new Institute, USSR Academy of Sciences. Monograph: Charac­ foundations for Hamiltonian mechanics. Since 1979, has terization problems in mathematical statistics, with Yu. V. had no opportunity to publish his work in the USSR. Linnik and C. R. Rao, Wiley, 1973. Office Address: Persons to contact: Victor Eliashberg (Yakov's brother), Leningrad Branch of Steklov Mathematical Institute, Fan­ 3450 Murdoch Court, Palo Alto, CA 94306 (tel. 415-493- tanka 25, Leningrad D-11, 19011, USSR. For further 6038); Mikhael Gromov, I.H.E.S., 35 Route de Chartres, information, see Notices, October, 1981. Bures-sur-Yvette, 91440, France. 17. B. A. Kaplan, ul. Nezhdanovoy 8/10, Apt. 85, 8. Mark losifovich Frerdlin, Ulitsa 26 Bakinskih Komis­ Moscow, USSR. sarov 12, Building 3, Apt. 179, Moscow 117526, USSR 18. Gennady Khasin, Shosseinaya 4D, Apt. 74, Moscow (tel. (7095) 434-5345). Born: 1938; Ph.D., D.S.; Field: 109388, USSR. Born: 1937; Refused: 1976; Field: Probability, Differential equations, Asymptotic analysis Differential geometry. Since 1976 has no permanent job. and Applications. First Visa Application: July, 1979; Spouse: Natasha (1940), M.S. in applied mathematics, First Refusal: November, 1980. Stated Reason: They programmer. Children: Helen (1964) and Judith (1977). would leave their parents in the USSR. Spouse: Valeria Nataaha works on behalf of the Prisoners of Conscience, (1941); Children: Boris (1964), Yulia. Both Mark and a job once filled by Ida Nude! until her own arrest and Valeria worked at Moscow University. Both defended their exile. Person to contact: B. Raykhshteyn, Department Ph.D. thesis in probability theory. Mark also defended of Mathematics, Susquehanna University, Selinsgrove, PA a second, D.S. thesis. An English translation of Mark's 17870 (tel. 717-374-0101, ext. 162). joint monograph with Ventcel', Small random perturbation 19. Haim Kilov, ul. Karla Marxa 75, Apt. 13, Riga of dynamical systems, will be published soon by Springer­ 226011, Latvian SSR, USSR (tel. 563-513). Field: Computer Verlag. Mter applying for the visa, they have lost their science. Visa application: 1979; Refused: 1980; Reason: no jobs and since then have been unemployed. Person to close relatives in the West. Spouse: Sonya; Daughter: Elena contact: Eugene B. Dynkin, Department of Mathematics, (1962). Member of AMS and ACM, cf. Kilov's letter to Cornell University, Ithaca, NY 14853 (tel. 607-273-1071, the Notices, October 1979. Person to contact: Boris Schein, home; 607-256-3404, office). University of Arkansas, Fayetteville, AR 72701. 9. Leonid Fridlender, Kremenchugskaya, Kremenchug­ 20. Boris Natanovich Kimelfeld, Konakovsky Proyezd skaya 5, Apt. 228, Moscow 117526, USSR. Field: 15, Apt. 23, Moscow 125565, USSR (tel. (7095) 452-96- Partial differential equations, Functional analysis. Visa 53). Born: 1943; M.S., Moscow University, 1960-65, Ph.D.: Application: 1979; Refused: 1981. Moscow University, 1965-68. Field: Computer science 10. Grigory Abelevich Frel'man, Prospect Vernadskogo and Geometry of homogeneous spaces. Visa Application: 91, korp. 1, Apt. 119, Moscow 121352, USSR (tel. (7095) January, 1979; Refused: March, 1980; Reason: Access 4439618). Born: 1926; M.S., Moscow State University; to classified information (Kimelfeld neither formally Ph.D., D.S. 1966; Field: Additive number theory. Visa nor actually ever had access to such information.) application: March, 1980; Refused: November, 1980; no Daughter: Irina (1974), seriously ill. The hope to get reason given. Married, three children. The author of two adequate treatment for Irina was an important impetus books on number theory and of the book, It Seems I am in Kimelfeld's decision to emigrate. Was employed from a Jew, 1978, published in 1980 by S.I.U. Press, Southern 1968 at the Institute of Control Problems in Moscow lllinois University, Carbondale, IL 62901. Freiman was (Profsoyuznaya 81, Moscow 117279, USSR). Lost his job fired from Kalinin University in June 1980, and since and could not find professional employment since 1979. that time has been unemployed. Person to contact: Boris Worked as a doorman. Appealed to the Communist Party Schein, University of Arkansas, Fayetteville, AR 72701 Congress, but received no answer. Person to contact: (tel. 501-575-3351). Boris Katz, 24 Garden Street, Cambridge, MA 02138 (tel. 11. Pei!B.ch Ref'ulevich Gamburd, Prianishnikova ul. 617-547-6342), or Action for Soviet Jewry, 617-893-2331. 5, korp. 2, Apt. 77, Kishinev 277028, Moldavian SSR, 21. Boris Klot1, Born: 1950; M.S., Moscow State USSR (tel. 21-05-36). Ph.D. Field: Optimization theory University, Ph.D. Field: Approximation theory. Visa and Computer science. Visa Application: 1979; Refused: Application: September, 1980; Refused: December, 1980; December, 1980; Reason: Access to classified information. Reason: Access to classified information by his wife (who (Gamburd has never had security clearance.) Married, two has never worked). Reason then changed to "no motive children. Fired in January, 1980; unemployed since that for reunification of family." time. 22. Arkady Lenov, Chekhovskaya 1, Apt. 54, Moscow 12. Semion Gdalevich, General& Simoniaka 7, Apt. 216, 125319, USSR. Leningrad, 198261, USSR. 23. Miriam Levin, ul. VIlde 14-80, Tallin, Estonian 13. Boris Genis, ul. Z. & A Kosmodemyanskikh, SSR, USSR. Refused: 1980; Both Miriam and her son, who 9B, Apt. 24, Moscow 125130, USSR. Born: 1950; Visa is also a mathematician, were refused exit visas. Application: 1977; Refused: January, 1977. Spouse: Irina 24. Vietor Lilien, Karla Marksa 6, Apt, 19, Borislav, Valentinovna (1950); Children: Yulia (1973), Galla (1975). USSR.

627 25. Miehail Lomonosov, Chertanovskaya 34, korp. 1, Spowe: Lillian, has been threatened with incarceration in Apt. 286, Moscow 113525, USSR. Born: 1939; M.S., mental hospital for her agitating on behalf of her husband; Moscow State University; Ph.D. Field: Graph theory. Children: three. Leonid has an acute form of diabetes and Visa application: March, 1980 (OVIR refused to accept his needs a type of insulin which is unavailable in the Soviet application and has not acknowledged that he has even Union. As a result, he is losing his eyesight. applied). 41. Natalya and Anatoly Vasilevllky, 3rd Vladimirov­ 26. Isaak Maislin. Born: 1933; M.S., Moscow State skaya 26-1-6, Moscow 111401, USSR. Field: Natalya, University, Ph.D. Field: Applied mathematics. Visa Programming; Anatoly, Mathematical linguistics. Person Application: September, 1979; no acknowledgment. to contact: M. Bronstein, 11 Jacoby Street, Maplewood, 27. MichaelS. Marinov, Bolotnikovskaya 49-80, Moscow NJ 07040 (tel. 212-490-7110, ext. 64). 113209, USSR. 42. Dimitri Yankov, Moscowskoe Shosse 57/1/6, Dol­ 28. Naum N. Meiman, Naberezhnaya Gorkovo 4/22/57, goprudnoe, Moscow Oblast 141700, USSR. Ph.D. Field: Moscow, USSR. Born: 1912; Kazan University, 1932; D.S., Logic and Applied mathematics; Refu8ed: 1978. 1937; Field: Analytic functions, Mathematical physics. Refu8ed: August 25, 1974; Rea.son: Secret work which AMS Bulletin he had left 25 years ago. Member of Moscow unofficial Helsinki accords monitoring group. Most of these members I am dismayed by the letter of Professor Y. L. are now in prison camps. Luke, in the August issue of the Notices, stating 29. Grigori Mints, ul. Basseinaya 97, Apt. 13, Leningrad that an individual member of the AMS "will find 192242, USSR (tel. 268-1593). Born: 1939; M.A., 1961; very little of interest" in the Bulletin. This is Ph.D., Leningrad University, 1965; Field: Mathematical logic. Spouse: Inna, Ph.D in mathematics; Daughter: Anna a calumny against the intellectual liveliness of (1963). Worked until 1979 at the Leningrad Branch of American mathematicians. For my part, I find Steklov Mathematical Institute. Since 1980, both Grigori most of each issue of the Bulletin worthy of serious and his wife have been unemployed. Refu8ed: December, attention. I only wish I could devote more time 1981. Person to contact: B. Schein, University of Arkansas, Fayetteville, AR 72701. to a thorough study of the excellent expository 30. Evgeny Alexandrovieh Poletllky, Bol'shaya articles in the Bulletin. Cherkizovskaya 6-4-105, Moscow 107061, USSR. Bom: Professor Luke's letter suggests that a mathe­ 1948; M.S. 1970; Ph.D., Moscow State University, 1974. matician can afford to ignore developments out­ Field: Complex Analysis. First visa application: May 1979; side of the focus of his or her own specialization. Refu8aJ.: June 1981. Reason given: no close relatives abroad. This is false. Mathematics is an organic unity. 31. Roman Poliak, Krasnozviozdnaya 57, Apt. 32, Kiev Professor Luke's own specialization, I believe, is in 252110, USSR. the theory of special functions, particularly those 32. Mark Reitman, Davydkovskaya 38/176, Moscow, of hypergeometric type. Surely he is aware of USSR (tel. 449-0079). Field: Applied mathematics; Visa the intimate relation of this topic with the repre­ Application: 1979; Refu8ed: 1980. Author of several And that theory books. Person to contact: M. Bronstein, 11 Jacoby Street, sentation theory of Lie groups. Maplewood, NJ 07040 (tel. 212-490-7110, ext. 64). is tied in with functional analysis, differential 33. Yuri L. Rodin, Institutskir Pr. 6, Apt. 79, geometry, Lie algebras, algebraic topology, math­ Chemogolovka Moscowskaya Oblast 142432, USSR. Born: ematical physics, and number theory. The most 1936; Field: Complex analysis, Boundary problems; Visa creative mathematics is very often a combination Application: May, 1979. of ideas from branches of the subject that had 34. Yury RodDy, Marshal& Vasilevskogo 1/2/73, Mos­ cow 123098, USSR. Born: 1944; Visa Application: May, been thought to be irrelevant to one another. The 1979; Refu8aJ.: March, 1981; Rea.son: Access of his father researcher who ignores this truth risks making his to classified information. or her own work unimportant. 35. Sergei Roaenoer, Bolshaya Serpuhovskaya ul. 31, Christopher J. Henrich 2-229A, Moscow, USSR. 36. Vladimir Rosental, Lermontovskaya 10-53, Apt. 62, Perkin-Elmer Leningrad 193168, USSR. Computer Operations 37. Vladimir Shulemovieh, ul. Uchenykh 5, Apt. 62, Akademgorodek Novosibirsk 630072, USSR. Born: 1938; I strongly disagree with the tone and conclusions M.S., Moscow Energy Institute, 1962; Ph.D. Academy of Y. Luke's recent letter in the August Notices, of Science, Siberian Branch, 1972; Field: Applied mathematics, Aeromechanics. Visa Application: July, page 411. I think the Bulletin does an excellent 1978; Refu8ed: March, 1979; Rea.son: His access to a job of providing "intellectual coherence." Even specific classified document in 1974, which was published were this not true, it would be a goal worth the three years ago. Since 1962, senior researcher, Institute struggle. I find no attraction in a mathematics of Theoretical and Applied Mechanics; fired May, 1980. which is only a collection of "particular segments" Since then, unemployed. Person to contact: Iosif Krass, Southern Dlinois University, Carbondale, IL 62901. or "subdisciplines." 38. Aba Taratuta, Kosmonsvtov 27-1, Apt. 71, For those who believe in quantification (if not at Leningrad, USSR. Spouse: Ida (1930), has permission, but the flawed level of Luke's economics), I offer "... refuses to leave without son; Son: Misha (1961), artist. Mathematics Journals: What They Cite... " (E. Misha was recently drafted into army. Both Aba and Ida (12 April1982); have been unable to secure jobs in their professions. The Garfield, Current Contents, 25:15 only job open to Aba has been as a low paid elevator page 5-13). As it happens, the Bulletin is one of operator. eight top-ranking journals {along with such as the 39. Vladimir Tulovllky, Profsoyuznaya 91-1, Apt. 46, Proceedings of the London. .. , Acta Mathematica, Moscow 117279, USSR. and so on), scored by "impact", "immediacy", ... 40. Leonid Varvak, Bulvar Lesi Ukrainki 15-A, Apt. 9, Kiev 193, USSR (tel. 954-639). Born: 1945; M.S., Kiev Cameron Laird University; Ph.D. Field: Graph theory; Refused: May, 1980. West Lafayette, Indiana

628 AMS Seal AMS Election 1982 A letter by Stefan Drobot appearing in the April 1981 issue of the Notices, page 263, and an Candidates accompanying editor's note discusses the Society's seal. I wish to add a comment and make a query. OFFICERS The motto, as it appears in the seal, is: Vice President (one to be elected) Eugene B. Dynkin Calvin C. Moore (1) AI'E!1METPHTO~ MH EI~IT!1 Secretary* Everett Pitcher [Nongeometers should not enter.] Associate Secretaries* Evidently this is a form shortened to fit the seal Frank T. Birtel W. Wistar Comfort and is shortened from (Southeast) (East) Treasurer* Franklin P. Peterson (2) AI'E!1METPHTO~ MHL:.EI~ Associate Treasurer* Steve Armentrout EI~IT!1 MOT THN ~TEfHN Member-at-Large of the Council (five to be elected) [Let no one unversed in geometry enter my doors.] A. T. Bharucha-Reid PaulS. Muhly Peter L. Duren William H. Ruckle See A Semicentennial History of the American Susan J. Friedlander Michael Shub Mathematical Society 1888-1938, by Raymond Clare Robin Hartshorne Yum Tong Siu Archibald, American Mathematical Society, 1938. It Irwin Kra Olga Taussky-Todd is stated in this reference that (2) is an inscription Bernard L. Madison over the door of Plato's Academy. My colleague Paul R. Stein informs me that the Board of Trustees* Frederick W. Gehring Greek Lexicon, ninth edition, of Liddell, Scott, and Committee to Monitor Problems Jones gives the quotation in Communication* W. Wistar Comfort Robert W. Ritchie (3) AI'E!1METPHTO~ MHL:.EI~ EI~IT!1 Publication Committees* [Let no one unversed in geometry enter.] Bulletin Meyer Jerison Colloquium Louis Nirenberg and the reference as Elias of the sixth century A.D. Mathematical Reviews Robert G. Bartle My query is: what is the source of (2)? Mathematical Surveys R. 0. Wells, Jr. (Readers may be interested to know that the Mathematics of Liddell mentioned is Henry George Liddell who was Computation Hugh C. Williams the father of Lewis Carroll's Alice.) Proceedings George R. Sell William A. Beyer Transactions and Donald L. Burkholder Los Alamos National Memoirs Linda Preiss Rothschild Laboratory Lance W. Small Society's Representative to American Journal of Mathematics Spencer Bloch World Directory NOMINATING COMMITTEE FOR 1983 of Mathematicians 1982 (Preferential Ballot, four to be elected) The seventh edition of this directory, which is A. based on material supplied by the National Com­ James Donaldson Robert R. Phelps mittees for Mathematics, is published by the Bureau Linda Keen Bruce L. Rothschild of the World Directory of Mathematicians of the 0. Carruth McGehee Wolfgang M. Schmidt International Mathematical Union. Some of the Robert M. Miura James D. Stasheff national committees failed to offer new entries; in these cases the entries from the sixth edition have *Uncontested offices. been used. The seventh edition contains a list of important mathematical organizations, an alphabeti­ cal list of mathematicians with addresses, and a geographical list. The AMS is distributing the directory.

World Directory of Mathematicians 1982 Approximately 550 pages (soft cover) List price $23, institutional member $21, individual member $21 Publication date: August 1982 To order, please specify WRLDI R/7N

629 26th Annual AMS Survey 1982 First Report The following pages contain a first report on the 1982 AMS Survey. Included in this report are salary and other data on faculty members in four-year colleges and universities, a report on the 1982 survey of new doctorates, a report on salaries of new doctorates, and a list of names and thesis titles for members of the 1981-1982 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 1981 and June 1982, inclusive. This report is based on the information collected from these questionnaires. A second round of questionnaires was distributed in September; these are concerned with data on fall enrollments, class size, teaching loads and faculty mobility. These data will be reported in the February or April 1983 issue of the Notices. This Survey is the twenty-sixth 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 (chairman), Irwin Kra, Robert W. McKelvey, Donald C. Rung, Robert J. Thompson, and Barnet M. Weinstock. The questionnaires were devised by CEEP's Data Subcommittee consisting of Lida K. Barrett, Susan J. Devlin, Lincoln K. Durst, Wendell H. Fleming, Arthur P. Mattuck, and Donald C. Rung (chairman).

Faculty Salaries, Tenure, Women

The questionnaries sent to departments in the Group I and Group IT inchide the leading depart­ mathematical sciences asked for information on ments of mathematics in the U. S. according to the salaries and tenure. Departments submitted a findings of the American Coucil on Education in 1969, minimum, median, and maximum salary figure for in which departments were ranked according to the 1 each of four academic ranks, for staff members both quality of their graduate faculty. with and without doctorates. Annual salaries of full­ Group I is composed of the 27 departments with time faculty members for the academic year of 9 scores in the 3.0-5.0 range. or 10 months were sought. The 1982 questionnaire Group IT is composed of the next 38 leading depart­ requested information for both the years 1981-1982 ments with scores in the 2.0-2.9 range. and 1982-1983. The sample in this survey is thus the Group m contains all other U.S. departments of same for both years and is different from the sample mathematics. used in the Twenty-Fifth AMS Survey in 1981. In Group IV includes U.S. departments of statistics, the salary tables on the following pages the numbers biostatistics and biometrics. in parentheses give the range of the middle fifty Group V includes all other U.S. departments in the percent of salaries reported. The figures outside the mathematical sciences. parentheses represent the mimimum and maximum Group VI consists of all doctorate-granting depart­ In some ments in the mathematical sciences in Canadian salary listed by any reporting institution. universities. categories relatively few departments reported and, figures were not available, salaries Although Canadian doctorate-granting departments because significant are grouped separately, those granting bachelor and are not listed. master degrees are included with U.S. departments, as The information reported this year on the number in previous reports in this series. of faculty members is based on returns from 781 1 The findings were published in A Rating of Graduate departments in the mathematical sciences, 150 of Programs by Kenneth D. Roose and Charles J. Ander­ which did not contain usable salary information. sen, American Council on Education, Washington, D.C., 1969, 115 pp. The information on mathematics For these reports, the departments are divided into was reprinted in the February 1971 issue of the Notices, groups according to the highest degree offered in pages 338 to 340. the mathematical sciences. The doctorate-granting departments are in six groups as described in the box.

630 TABLE 1: Total Faculty Reported for Four-Year Colleges and Universities 1981-1982 1982-1983

FACULTY WOMEN FACULTY WOMEN

With With With With Total Tenure Total Tenure Total Tenure Total Tenure WITHOUT DOCTORATE Instructor/Lecturer 829 51 46 27 810 52 425 25 Assistant Professor 597 406 32 91 614 379 135 82 Associate Professor 476 442 57 49 459 423 52 48 Professor 173 167 ~ 13 167 164 12 12 2075 1066 fi48 180 2050 1018 624 167 WITH DOCTORATE Instructor/Lecturer 197 5 39 2 193 5 36 2 Assistant Professor 2074 221 2fi9 24 2159 205 297 29 Associate Professor 2829 2511 205 lfi1 2814 2479 207 159 Professor 4013 3943 149 143 4196 4121 160 154 9113 6fi80 fi62 330 9362 6810 700 344

TABLE 2: Percent of TABLE 3: Response Rates Doctorate Faculty with Tenure U.S. Departments Falll981 Fall1982 Group I II III IV v M B Groups I, II, III 77.5% 78.1% %Response 74 79 78 63 41 47 37 Groups IV, V 64.2% 62.9% Canadian Departments Group VI 88.4% 88.2% Group VI M B Masters and Bachelors 70.6% 69.4% %Response 37 30 27

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 the sizes of the faculty groups studied. Because greatest rates of response are in Groups I, II, and III, the questionnaires request data for two years which have a combined response rate of 77%. in a row, however, it is possible to estimate

631

Maximum Maximum

(411-545)640 (411-545)640

(289-348)392 (289-348)392

(230-271)335 (230-271)335

(177-205)261 (177-205)261

(277-312)341 (277-312)341

(212-248)263 (212-248)263

(510-570)850 (510-570)850

(155-200)260 (155-200)260

(236-260)290 (236-260)290

(180-210)236 (180-210)236

(293-355)406 (293-355)406

(545-629)655 (545-629)655

(285-318)364 (285-318)364

(223-250)280 (223-250)280

(331-392) (331-392)

(260-296) (260-296)

(215-240) (215-240)

(174-200) (174-200)

Median Median

(261-301) (261-301)

(193-242) (193-242)

(139-184) (139-184)

(361-419) (361-419)

(211-240) (211-240)

(173-210) (173-210)

(263-303) (263-303)

(381-460) (381-460)

(260-288) (260-288)

(212-226) (212-226)

1982-1983 1982-1983

Minimum Minimum

dollars) dollars)

180(228-258) 180(228-258)

228(283-322) 228(283-322)

150(187-212) 150(187-212)

148(170-200) 148(170-200)

175(184-230) 175(184-230)

210(241-291) 210(241-291)

105(135-170) 105(135-170)

196(229-269) 196(229-269)

250(283-323) 250(283-323)

180(200-219) 180(200-219)

155(166-200) 155(166-200)

216(237-255) 216(237-255)

262(283-372) 262(283-372)

190(197-217) 190(197-217)

of of

)630 )630

SALARIES SALARIES

75 75

hundreds hundreds

(in (in

Maximum Maximum

(381-500)600 (381-500)600

(270-328)385 (270-328)385

(210-250)304 (210-250)304

(155-197)220 (155-197)220

(251-292)337 (251-292)337

(198-230)258 (198-230)258

(140-193)250 (140-193)250

(465-545)670 (465-545)670

(270-326)378 (270-326)378

(213-256)280 (213-256)280

(171-200)291 (171-200)291

(513-5 (513-5

(276-325)340 (276-325)340

(215-231)280 (215-231)280

(242-279) (242-279)

(308-377) (308-377)

(196-217) (196-217)

(155-197) (155-197)

(249-290) (249-290)

(182-221) (182-221)

(131-171) (131-171)

(336-397) (336-397)

(197-228) (197-228)

(166-190) (166-190)

(246-280) (246-280)

(195-216) (195-216)

(365-436) (365-436)

(253-276) (253-276)

Median Median

1981-1982 1981-1982

Minimum Minimum

213(264-297) 213(264-297)

181(212-240) 181(212-240)

150(175-200) 150(175-200)

125(140-190) 125(140-190)

161(236-276) 161(236-276)

161(179-206) 161(179-206)

105(124-169) 105(124-169) 189(220-246) 189(220-246)

230(265-301) 230(265-301)

148(175-210) 148(175-210)

135(160-190) 135(160-190)

190(218-246) 190(218-246)

248(277-330) 248(277-330)

180(181-205) 180(181-205)

0 0

2 2

0 0

9 9

0 0

5 5

0 0

1 1

0 0

0 0

2 2

0 0

57 57

30 30

27 27

17 17 36 36

2 2

24 24

With With

2 2

0 0

5 5 5

9 9

0 0

1 1 1

7 7 7

6 6

3 3

3 3

25 25 25

35 35

39 39

90 90

16 16 13

14 14 14

18 18

60 60

19 19

24 24

23 23

15 15 15

50 50

22 22

WOMEN WOMEN

101 101

111 111

reporting) reporting)

~!!!!!!!!. ~!!!!!!!!.

reporting) reporting)

reporting) reporting)

0 0

2 2

4 4

5 5

0 0

0 0

4 4

0 0

90 90

38 38

14 14

41 41

40 40

45 45 11 11

2 7 7 2

11 11

11 11

846 846

570 570

110 110

883 883

554 554

316 316

734 734

121 121

609 609

1457 1457

of of

of of

of of

With With

TV TV

!!!!!!!! !!!!!!!!

1982-1983 1982-1983

2 2 2

5 5

3 3

3 3

(70 (70

(30 (30

37 37

(20 (20

53 53

14 14

40 40

55 55

43 43

36 36

30 30

605 605 854 854

390 390

251 251

144 144

337 337

181 181

566 566

913 913

124 124

150 150

609 609

1886 1886

1139 1139

FACULTY FACULTY

Total Total

FACUL FACUL

Ill Ill

II II

I I

3 3

0 0

9 9

5 5

0 0

0 0

1 1

2 2

2 2

0 0

0 0

0 0

OF OF

60 60

31 31

33 33

18 18

34 34

25 25

11 11 3 3

Group Group

Tenure Tenure

Group Group

Group Group

0 0

8 8 6

1 1

0 0

7 7

3 3

3 3

26 26 25

38 38

WOMEN WOMEN

23 23

41 41

89 89

28 28

14 14 14

16 16 15

18 18 58 58

10 10

27 27

12 12 12

11 11

19 19

49 49

SIZE SIZE

110 110

120 120

Total Total

1 1 5 1

2 2

5 5

6 6

0 0

0 0

0 0

47 47

11 11

52 52

10 10

13 13

820 820

585 585

123 123

869 869

527 527 330 330

722 722

593 593

123 123

1443 1443

With With With

Tenure Tenure

1981-1982 1981-1982

8 8 6

2 2 2

3 3

3 3

43 43

15 15 15

62 62

45 45 45

55 55

53 53

43 43

36 36

621 621

821 821

395 395

258 258

136 136

173 173

539 539

355 355

DEPARTMENTS. DEPARTMENTS.

910 910

130 130

150 150

594 594

DEPARTMENTS. DEPARTMENTS.

DEPARTMENTS. DEPARTMENTS.

1880 1880

FACULTY FACULTY

1122 1122

Totol Totol

GRANTING GRANTING

GRANTING GRANTING

GRANTING GRANTING

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

Professor Professor

Professor Professor

Professor Professor

DOCTORATE DOCTORATE

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

Salaries Salaries

Faculty Faculty

Professor Professor

DOCTORATE DOCTORATE

Professor Professor

WITH WITH

Instructor/Lecturer Instructor/Lecturer

Associate Associate

Professor Professor

Instructor/Lecturer Instructor/Lecturer

Associate Associate

Assistant Assistant

WITHOUT WITHOUT

Professor Professor

Associate Associate Assistant Assistant

WITH WITH

Instructor/Lecturer Instructor/Lecturer

DOCTORATE DOCTORATE

Professor Professor

Assistant Assistant WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer

Assistant Assistant

Assistant Assistant

DOCTORATE DOCTORATE

Associate Associate

WITH WITH

Instructor/Lecturer Instructor/Lecturer

WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer

t..J t..J

w w Cl\ Cl\

(469-624)685 (469-624)685

(284-347)399 (284-347)399

(236-275)360 (236-275)360

(210-220)325 (210-220)325

(465-614)720 (465-614)720

(317-533)555 (317-533)555

(457-580)748 (457-580)748 (223-339)458 (223-339)458

(320-380)450 (320-380)450

(280-308)344 (280-308)344

(373-499) (373-499)

(254-485) (254-485)

(392-460) (392-460) (210-325) (210-325)

(307-347) (307-347)

(277-330) (277-330)

(260-290) (260-290)

(225-259) (225-259)

(200-220) (200-220)

(343-549) (343-549)

(329-394) (329-394)

185(209-250) 185(209-250)

228 228

230(302-386) 230(302-386)

225(253-310) 225(253-310)

215(240-275) 215(240-275)

160(190-220) 160(190-220)

171(192-303) 171(192-303)

261(313-452) 261(313-452)

225(250-334) 225(250-334)

247(275-330) 247(275-330)

(450-575)616 (450-575)616

(285-340)390 (285-340)390

(269-326)360 (269-326)360

(254-288)318 (254-288)318

(221-253)293 (221-253)293

(180-250)307 (180-250)307

(424-543)620 (424-543)620

(281-457)490 (281-457)490

(426-538)715 (426-538)715 (190-309)405 (190-309)405

(255-305) (255-305)

(204-242) (204-242)

(368-425) (368-425)

(347-440) (347-440)

(180-233) (180-233)

(229-393) (229-393)

(187-284) (187-284)

(273-319) (273-319)

(237-264) (237-264)

(323-476) (323-476)

216(289-366) 216(289-366)

206(246-288) 206(246-288)

175(190-220) 175(190-220)

144(170-210) 144(170-210)

190(225-250) 190(225-250)

228(309-369) 228(309-369)

223(260-300) 223(260-300)

198(228-307) 198(228-307)

149(162-270) 149(162-270)

230(291-384) 230(291-384)

0 0 0 0

0 0

0 0

7 7

0 0

0 0

1 1

2 2

0 0

0 0

0 0

0 0

0 0

0 0

1 1

0 0

3 3

0 0 0 0

.Q .Q

5 5

13 13

12 12

0 0 0 0

0 0

5 5

9 9 9

6 6

0 0

8 8

1 1

6 6

8 8 5

0 0

0 0

0 0

0 0

1 1

0 0

1 1 1

4 4 1

3 3

5 5

8 8

1 1

39 39 22 22

21 21

12 12

43 43

13 13

reporting) reporting)

reporting) reporting)

reporting) reporting)

2 2

0 0 3 3

0 0

0 0

0 0

2 2

4 4

7 7

0 0

3 3

0 0

2 2

8 8

5 5

(;4 (;4

138 138

35 35

70 70

10 10

14 14

17 17

266 266

341 341

152 152

498 498

270 270

150 150

of of

of of

of of

0 0

3 3

4 4

2 2 1 2 1

7 7 7

5 5

4 4 2

0 0

0 0

8 8

(40 (40

(56 (56

(13 (13

11 11

92 92

14 14

10 10

29 29

25 25

10 10

48 48

40 40

1s 1s

149 149

514 514

195 195

271 271

257 257

352 352 343

818 818

116 116 113

306 306

150 150

IV IV

VI VI

V V

0 0

0 0

0 0

0 0

9 9

0 0

0 0

0 0

1 1

1 1

1 1

0 0

0 0

0 0

4 4

0 0

6 6

0 0

0 0

0 0

0 0

1 1

1 1

0 0

5 5

1 1

12 12

10 10

Group Group

Group Group

Group Group

0 0

0 0

0 0

6 6

5 5

0 0

0 0

9 9

2 2

5 5

0 0 5 5

0 0

0 0

0 0

3 3 3

3 3

6 6

1 1

7 7

1 1

37 37

21 21

14 14

10 10

18 18

38 38

15 15

0 0

2 2

3 3

0 0

0 0

1 1

5 5

3 3

3 3

0 0

4 4 1

0 0

9 9

0 0

5 5

70 70

18 18

11 11

10 10

18 18

338 338

262 262

336 336

485 485

121 121

267 267

136 136

0 0

7 7

3 3

4 4

2 2

9 9

5 5

0 0

7 7 7

1 1

9 9

5 5 2 1 1

11 11

90 90 18 18

38 38

12 12

62 62

42 42

22 22

267 267

777 777

182 182 146

142 142

345 345 504 504

DEPARTMENTS. DEPARTMENTS.

241 241

136 136

124 124

302 302

DEPARTMENTS. DEPARTMENTS.

DEPARTMENTS. DEPARTMENTS.

GRANTING GRANTING

GRANTING GRANTING

GRANTING GRANTING

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Departments) Departments)

Professor Professor

Professor Professor

Professor Professor

Professor Professor

Professor Professor

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

DOCTORATE DOCTORATE

Professor Professor

WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer

Professor Professor

Associate Associate

Assistant Assistant

DOCTORATE DOCTORATE

Instructor/Lecturer Instructor/Lecturer

Professor Professor

Assistant Assistant

Professor Professor

DOCTORATE DOCTORATE WITH WITH

WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer

(Canadian (Canadian

Associate Associate

WITH WITH

Instructor/Lecturer Instructor/Lecturer

Professor Professor

Associate Associate

Assistant Assistant

WITHOUT WITHOUT

Instructor/Lecturer Instructor/Lecturer

Professor Professor

Associate Associate

Assistant Assistant

WITH WITH

Instructor/Lecturer Instructor/Lecturer

Associate Associate

Assistant Assistant

Assistant Assistant

Associate Associate

0"1 0"1

...... , ...... , ...... , ...... , Maximum

(153-200)260 (219-259)311

(219-268)370

(248-299)370 (340-410)503 (270-367)499

(266-321)413 (160-191)295 (185-245)346

(259-355)445

(195-235)385 (229-296)450 (213-280)500 (270-360)514

Median

(147-184) (207-247)

(237-285) (270-348)

(203-235) (247-285) (152-185) (190-229) (302-362) (181-235)

(259-344)

(224-277) (210-270) (264-333)

1982-1983

Minimum

dollars)

of

110(140-173) 160(195-236)

140(189-220)

195(229-284)

247(268-332)

190(225-260) 103(145-180) 143(183-218) 120(173-227) 148(217-266) 138(209-261) 202(270-323)

205(259-332)

140(250-321)

SALARIES

hundreds

(in

Maximum

(145-191)248 (200-238)291 (234-281)349 (259-350)449

(200-242)360

(311-383)482

(251-300)396 (140-173)247 (180-220)321 (175-230)304 (215-275)417 (200-257)443 (260-338)535 (243-342)413

Departments)

Departments)

Median

(142-180) (185-224) (195-232) (225-272) (253-340)

(232-264) (289-341) (168-219)

(243-336)

(140-162) (175-208) (209-260) (197-250) (250-313)

Canadian

Canadian

1981-1982

33

20

of

of

9

6

Minimum

95(140-160)

100(133-170) 155(176-208) 164(185-218) 184(215-266)

230(253-333)

170(213-244) 120(162-211) 204(257-305) 181(243-336)

143(170-200) 143(204-247) 128(192-245) 135(239-299)

including

including

7

0

2

8

76 81

13

39

10

19

54 52

61

28 24 31

41

With

116

Tenure

7

5 5 reporting

WOMEN

reporting

71

19

82 54

62 54 88

28 59 34

149

227

213

240

143

186

Toto/

347

1064

1 6

8

1 5 1

29

85

50

of

of

193 163

687 430 831

130

210

431 522

450

1604

To23

With

TV

Tenure

1982-1983

(159

(393

36

45 45

85 83 19

757

289 253 783

170 548

848 905

298 286 236

444

562 546

FACULTY

1571 2215

Total

FACUL

7

OF

5

0

8

2 0 5

14 80

43 18

53

63

47 28 25 31

77

41

With

107

Tenure

7

5

3

WOMEN 8

SIZE

71

52

19 65

48 78

54 30

57 34

154

230

191

Total 153

172

245

0

6

1

29 93

DEPARTMENTS.

45

84

47

201 788

169 692 444

139

216 445 983

444 491

1573

With

DEPARTMENTS.

Tenure 1981-1982

35

46

87

17

758

775 797

290 245 177 506

307

901

267 240

549 514

425

FACULTY

Total

2113

1505

GRANTING

GRANTING

DEGREE

DOCTORATE DOCTORATE

Professor Professor

Professor

Professor

Professor Professor

Professor

Professor

DEGREE

DOCTORATE

DOCTORATE

BACHELOR

Professor Professor Professor

Assistant MASTER Assistant Instructor/Lecturer Associate

WITH WITHOUT WITHOUT Instructor/Lecturer Associate Instructor/Lecturer

Assistant Associate Professor

WITH Assistant Instructor/Lecturer

Associate

w ~

0'1 Report on the 1982 Survey of New Doctorates by Donald C. Rung

This report presents a statistical profile of new report on the employment status of the 1981-1982 doctorates in the mathematical sciences. It includes doctorates is planned for the February or April 1983 the employment status of recipients of 1981-1982 issue of the Notices. It is clear that the demand is doctorates in the mathematical sciences, and a now somewhat in excess of the supply. As of August breakdown according to their sex, racial/ethnic 1982, there were only 32 doctorates reported as still group, and citizenship. In addition, trends in seeking employment (the same total as last year) and, the number of doctoral degrees in the mathematical if past experience holds, most will find employment sciences are reported for each group of departments as later this year. Based upon these reports over the last defined by the 1969 American Council on Education three years and the increased demand for doctorates survey (described on the first page of this report of reported in the Employment Information in the the 1982 Survey). Mathematical Sciences, the author believes that an The number of new doctorates reported for 1981- increase in the number of new doctorates to a level 1982 is 860, which is within two of the lowest number of 950 per year is necessary to meet the demand, of new doctorates reported over the last 15 years. especially in the more applicable areas. The 1979-1980 report listed 858 new doctorates. Last The percentage of new doctorates who are women year's total of 904 gave some hope that the number decreased from 16.4% in 1980-1981 to 12.9% in 1981- of new doctorates was now increasing, but this year's 1982. This is about the same percentage as reported number belies this belief. For comparison purposes in 1979-1980. In absolute numbers there were 111 all figures are taken from the survey reported each women who received doctorates in 1981-1982 as year in the November Notices. A second updated compared to 148 in 1980-1981. It is interesting to

TABLE 1: 1981-1982 Employment Status of New Doctorates in the Mathematical Sciences

Type of Employer

Group I 17 15 20 2 3 2 1 4 1 65 Group II 15 10 6 4 2 2 1 6 46 Group III 8 12 6 3 8 2 1 15 1 56 Group IV 34 1 1 36 Group V 1 1 1 25 5 1 2 36 Masters 11 22 10 3 2 11 4 2 9 2 76 Bachelors 20 13 6 2 1 5 6 2 3 58 Two-year College or High School 2 1 1 1 4 1 10 other Academic Departments 4 2 3 24 6 10 11 1 5 66 Research Institutes 3 7 4 7 2 9 2 34 Government 3 2 8 2 1 5 21 Business and Industry 3 9 5 3 3 35 40 12 18 6 134 Canada, Academic 3 1 3 2 6 3 3 3 6 30 Canada, Nonacademic 1 2 2 5 Foreign, Academic 8 8 4 2 1 25 10 9 5 3 75 Foreign, Nonacademic 3 8 2 1 8 3 3 4 1 33 Not seeking employ. 1 1 2 1 1 2 8 Not yet employed 4 6 3 1 2 5 2 2 5 2 32 Unknown 4 7 3 1 12 5 3 2 2 39 Total 105 124 78 16 25 198 105 58 105 7 39 860

635 note that the percentage still seeking employment only. The information was obtained both from the was about the same (3.9%) for both men and women. departments granting the degrees and from question­ This percentage is the lowest in recent years and naires subsequently completed by about 43% of the indicates that employment opportunities continue to recipients themselves. be good. Among those 1981-1982 new doctorates employed The number of those employed by government in the U. 8. about 59% took positions in university or college mathematical sciences departments. About business and industry fell from 178 to 155, perhaps 24% took positions in government, business, and reflecting recessionary times. industry, while the remaining 17% are in two-year It should be noted that the reported number of new colleges, high schools, other academic departments, doctorates conferred by Group V departments which or research institutes. These figures are similar to include computer science is considerably less than the those reported last year. actual number. It may be that the numbers reported Table 1 shows as "not yet employed" about 3.9% to the AMS represent less than one-half of the total! of the 1981-1982 new doctorates (this excludes those It is estimated that in 1979-1980 there were 218 whose employment status is unknown, and those doctorates in the computer sciences (February 1982 not seeking employment). This is the same figure Notices, page 148) while our figure in the November as last year. The data in Table 1 were in many instances obtained early 1980 Notices was 90. in the summer of 1982 and do not reflect subsequent hiring during the summer; Employment Status of New Doctorates, 1981- an update of Table 1 is planned for the February 1982. Table 1 shows the employment status, by type or April 1983 Notices. A similar update last year of employer and field of degree, of 860 recipients of revealed that nearly all new 1980-1981 doctorates not doctoral degrees conferred by mathematical sciences yet employed by early summer subsequently found departments in the U. 8. and Canada between July 1, positions by Fall 1981. (See the Notices, November 1981 and June 30, 1982. These 860 individuals are 1981, page 613 and February 1982, page 145.) Only listed, with their thesis titles, later in this report. eleven individuals included in Table 1 were reported as having taken part-time In rows 1 through 5, the numbers who accepted employment. Sex, Race, and Citizenship of New Doctorates, appointments in U. 8. doctorate-granting mathemati­ 1981-1982. Table 2 below represents a breakdown cal sciences departments (Groups I-V) are given. In according to sex, racial/ethnic group, and citizenship the next two rows, the figures represent those ac­ of these 860 new doctorates. The information cepting appointments in U. 8. mathematical sciences summarized in Table 2 was obtained from department departments granting masters and bachelors degrees heads and in some cases from recipients themselves.

TABLE 2: Sex, Minority Group, and Citizenship of New Doctorates July 1, 1981-June 30, 1982

U. S. DEGREES MEN WOMEN TOTAL

CITIZENSillP CITIZENSillP Not Total Not Total RACIAL/ETHNIC GROUP u.s. Canada Other Known Men u.s. Canada Other Known Women Asian, Pacific Islander 19 3 94 7 123 5 6 1 12 135 Black 5 7 12 2 2 14 American Indian, Eskimo, Aleut Mexican American, Chicano, Puerto Rican 2 6 8 8

None of those above 371 10 131 2 514 77 10 87 601 Unknown 34 2 8 1 45 4 2 6 51

Total Number 431 15 246 10 702 88 18 1 107 809

CANADIAN DEGREES MEN WOMEN TOTAL

CITIZENSHIP CITIZENSillP Not Total Not I Total RACIAL/ETHNIC GROUP u.s. Canada Other Known Men u.s. Canada Other IKnown Women Asian, Pacific Islander 1 15 16 16 Black American Indian, Eskimo, Aleut Mexican American, Chicano, Puerto Rican

None of those above 1 11 12 24 3 3 27 Unknown 5 2 7 1 1 8

Total Number 1 17 27 2 47 4 4 51

636 Analysis of the 1981-1982 employment forms for TABLE 3: Number of New Mathematical the new U.S. doctorates indicates that 10% of those Sciences Doctorates Reported employed by Groups I, n and m departments are by Selected Departments women, as compared to 12% last year. Of the new doctorates employed by bachelors and masters 79-80 80-81 81-82 Group I (26 depts.) 243 210 degree-granting departments 16% are women, while 198 Group II (30 depts.) 113 101 98 ?f those employed by government, business, and Group (66 depts.) mdustry 13% are women. m 143 142 131 Subtotal 499 453 427 Trends in the Number of New Doctorates. Table 3 gives the number of doctorates granted during 1979- Group IV (39 depts.) 102 146 144 1980, 1980-1981, and 1981-1982 by those departments Group V (32 depts.) 120 118 109 in Groups I-VI, which reported in all three years Group VI (20 depts.) _..fili .AI _M (as of August 15, 1982). The number of such Subtotal 287 311 287 departments is indicated in parentheses. TOTAL 786 764 714 Table 3 seems to indicate that the decline in new doctorates over last year is shared by each group except for group IV.

LECTURES ON MATHEMATICS IN THE LIFE SCIENCES

SOME MATHEMATICAL QUESTIONS IN BIOLOGY of classical properties of viscous fluids moving at edited by Stephen Childress low Reynolds numbers. Koehl is interested in the This volume contains the lectures which were feeding behaviors of copepods and their relation to presented at the Fifteenth Symposium on Some food particle size. The complexity of behavior asso­ Mathematical Questions in Biology, held on January ciated with particle capture poses a number of 8, 1981 in Toronto, Canada, in conjunction with the intriguing questions for theoreticians interested in annual meeting of the American Association for the time-dependent Stokes flows, which raises issues Advancement of Science. The symposium was jointly complementary to theories of propulsion at low organized and sponsored by the American Mathemat­ Reynolds number. Weinbaum discusses methods ical Society and the Society for Industrial and Ap­ which are well suited for such applications, and plied Mathematics under the auspices of Section A, gives a comprehensive review of their implications Mathematics, of the AAAS. for pore-particle problems arising in models of trans­ The papers presented here deal with two princi- port through membranes. pal areas of theoretical biology, the first focusing The final lecture, by Mochon, deals with the on several problems of developmental biology, the mechanics of human locomotion in a series of mod­ second on recent work in biomechanics. Meinhardt els of increasing complexity, and highlights the use­ and Gierer consider the organization of pattern, ful role which this kind of analysis can play in many using models extending their celebrated work on related problems of human movement. regulation in systems of reaction-diffusion equations. Hans Meinhardt and Alfred Gierer, Generation of Emphasis in their pre~entation is on the role of spatial sequences of structures during develop­ sequencing as a means of generating structures with ment of higher organisms a high degree of internal regulation. Lacker and H. Michael Lacker and S. Peskin, Control of ovula­ Peskin treat a related but unusual example of mod­ tion number in a model of ovarian follicular mat­ eling, whose aim is to explain the process of control uration of ovulation number (number of maturing follicles S. Childress and j. K. Percus, Modeling of cell and per cycle) in mammals. A system of differential tissue movements in the developing embryo equations is used to describe the regulation of follicle M.A. R. Koehl, Feeding at low Reynolds number by growth by circulating hormones. In a sense Lacker copepods and Peskin also are concerned with (temporal) se­ Sheldon Weinbaum, Strong interaction theory for quencing of pattern as determined by the integral particle motion through pores and near bound­ number of maturing follicles. The third paper in this aries in biological flows at low Reynolds number set, by Childress and Percus, deals with some ele­ Simon Michon, A mathematical model of human mentary mechanical models of the movement of walking cells and cell aggregates. Here the interest is in ex­ 1980 Mathematics Subject Classifications: 92-06, 93A05, ploring the morphogenetic consequences of relatively 92A09 simple instructions at the cell level, involving mea­ Volume 14, x + 214 pages {soft cover) sures of cell-cell adhesion. List price $19, institutional member $14, individual member $10 The lectures by Koehl and Weinbaum deal with ISBN 0·8218-1164-9; LC 77-25086 quite different problems of biomechanics, but there Publication date: September 1981 is common ground in their innovative application To order, please specify LLSCII14N

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

637 Salary Survey for New Recipients of Doctorates

The figures for 1982 in this article were compiled Readers should be warned that the data in this from questionnaires sent to individuals who received report are obtained from a self-selected sample and a doctorate in the mathematical sciences during the inferences from them may not be representative of the 1981-1982 academic year from universities in the population. More comprehensive information on the United States and Canada. number, the sex-minority group status-citizenship, Questionnaires requesting information on salaries and the employment status of the recipients of new and professional experience were distributed to 705 doctorates granted last year in the mathematical recipients of degrees using addresses provided by sciences in the U.S. and Canada may be found in the tht departments which granted the degrees. Of previous article of this report on the 1982 Survey. these, 9 were returned by the postal service as Key to Tables. Salaries are listed in hundreds undeliverable and could not be forwarded. There of dollars. Years listed refer to the academic year were 371 individuals who returned forms between ending in the listed year. M and F are Male and late June and early September. The tables below are Female respectively. One year experience means based on the responses from 335 of these individuals that the persons had experience limited to one year or (285 men and 50 women). Data from 36 responses less in the same position or a position similar to the were not used in the compilation of the tables below; one reported; some persons receiving a doctorate had forms with insufficient data, or from individuals who been employed in their present position for several had indicated they had part:-time employment, were years. (X + Y) means there are X men and Y not yet employed, or were not seeking employment women in the 1982 sample. Quartile figures are given were considered unusable. only in cases where the number of responses is large enough to make them meaningful. NINE-MONTH SALARIES TWELVE-MONTH SALARIES

Year Min. ~1 Median g3 Max. Year Min. Median Max. Year Min. Median Max. TEACffiNG OR TEACffiNG AND RESEARCH TEACillNG OR TEACHING GOVERNMENT (15 + 2) (161 + 24) AND RESEARCH (35 + 8)

1978 92 135 145 159 211 1978 101 185 290 1978 170 220 320 1979 100 145 157 170 234 1979 120 195 240 1979 180 243 357 1980 105 155 171 185 250 1980 143 195 350 1980 156 244 501 1981 130 175 190 210 320 1981 156 203 400 1981 220 290 460 1982 160 190 206 229 370 1982 100 250 500 1982 228 325 470 1978M 100 135 145 160 211 1978M 101 180 290 1978M 170 220 320 1978F 92 131 145 151 195 1978F 187 195 223 1978F 170 200 250 1979M 100 145 158 170 234 1979M 120 188 240 1979M 180 254 357 1979F 115 145 152 171 200 1979F 210 233 240 1979F 190 231 256 1980M 120 155 171 185 250 1980M 143 190 350 1980M 156 230 501 1980F 105 151 164 198 210 1980F 147 200 220 1980F 205 247 280 1981M 130 175 190 210 320 1981M 156 200 400 1981M 220 294 400 1981F 146 177 195 216 300 1981F 165 213 290 1981F 252 269 460 1982M 160 192 210 229 370 1982M 180 250 500 1982M 228 331 470 1982F 160 175 198 225 285 1982F 100 266 367 1982F 282 326 369 One year experience (139 + 20) One year experience (25 + 5) One year experience (1 0 + 2) 1982M 160 191 209 222 311 1982M 180 240 310 1982M 228 331 416 1982F 160 183 200 225 285 1982F 230 252 291 1982F 282 326 369

RESEARCH (3 + 1) RESEARCH (18 + 4) BUSlNESS AND INDUSTRY (53+ 11)

1978 120 125 1978 100 185 248 1978 145 240 387 1979 110 132 160 1979 100 174 271 1979 140 254 380 1980 125 137 180 1980 120 180 321 1980 190 284 400 1981 143 145 1981 140 200 280 1981 195 308 500 1982 180 190 235 1982 130 245 364 1982 196 354 550 1978M 120 125 125 1978M 100 187 248 1978M 145 246 387 1978F 1978F 180 1978F 180 210 251 1979M 110 132 160 1979M 100 174 271 1979M 140 251 380 1979F 1979F 1979F 200 255 350 1980M 125 137 180 1980M 120 180 321 1980M 190 284 400 1980F 1980F 178 200 264 1980F 218 283 345 1981M 143 145 1981M 140 200 280 1981M 195 319 500 1981F 145 1981F 150 168 200 1981F 226 290 358 1982M 180 190 190 1982M 144 230 336 1982M 196 366 550 1982F 235 1982F 130 265 364 1982F 230 350 430 One year experience (3 + 0) One year experience (15 + 4) One year experience (32 + 10) 1982M 180 190 190 1982M 144 230 336 1982M 243 355 418 1982F 1982F 130 265 364 1982F 230 347 400

638 Doctoral Degrees Conferred 1981-1982 THE ANNUAL AMS list of doctoral degrees in the mathematical sciences and related subjects reports 860 degrees conferred between July 1, 1981, and June 30, 1982 by 232 departments in 142 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 Volz, Rudolf, Global asymptotic stability Huffer, Fred W., The moments and of a periodic solution to an epidemic distributions of some quantities arising Auburn University model. from random arcs on the circle. (2;2,0,0,0,0,0,0) Stanford Iyengar, Satish, On the evaluation of University certain multivariate normal probabilities. MATHEMATICS (25;5,8,1,9,2,0,0) Imam, lbrahini N., On the class of inverse Kelly, Gabrielle E., The influence func­ M-matrices. MATHEMATICS tion in the errors in variables problem. Litz, Owen Campbell, Semigroups of Brooks, Peter Sloat, Paths generated by Kuk, Anthony, A mixing distribution column stochastic matrices. the homotopy method for solving systems approach to estimating particle size of equations. distributions. University of Alabama, Tuscaloosa Brulois, Frederic Paul, McDonald, John Alan, Interactive (2;2,0,0,0,0,0,0) Arbitrarily precise estimates for symmetric capillary sur­ graphics for data analysis. MATHEMATICS faces. Zaman, Arif, An approximation theorem Ivory, Lee R., Normal complements in Davis, James Frederic, Evaluation of the for finite Markov exchangeability. mod p envelopes. Swan finiteness obstruction. University of California, Mahmoud, Mohammad Abdul-Fattah Higdon, Robert Lynn, Boundary con­ Berkeley ditions for hyperbolic H., On the dynamical properties of certain systems of partial (15;3,8,0,1,0,1,2) discrete flows. differential equations having multiple time scales. BIOSTATISTICS CALIFORNIA Hunter, John Kelso, Weakly nonlinear Hudes, Mark, Improvements in screening wave propagation. effectiveness and efficiency from increas­ California Institute of Technology Klotz, Richard Galen, A new inequality (9;3,0,0,0,5,0,1) ing the number of predictors in logistic for surfaces of general type. risk analysis. APPLIED MATHEMATICS Korevaar, Nicholas Jacob, Capillary sur­ Tan, Leonard, Comparison of procedures Barker, John Wilson, I. Interactions face behavior determined by the bounding for detecting space-time clustering of of fast and slow waves in problems cylinder's shape. human diseases. with two time scales. II. A numerical Massey, William Alfred, Non-stationary experiment on the structure of two­ queues. LOGIC AND METHODOLOGY OF SCIENCE dimensional turbulent flow. Robson, Robert Oscar, The ideal theory Brown, David Leslie, Solution adaptive of real algebraic curves and affine Nash, Peter David, Reduction theorems mesh procedures for the numerical solu­ embeddings of semi-algebraic spaces and in model theory and topology. tion of singular perturbation problems. manifolds. MATHEMATICS Mueller, James R., I. The analysis of the OPERATIONS RESEARCH rewetting of a vertical slab using a Weiner­ Cochran, Thomas Daniel, Embedding 4- 5 Hop/ technique. II. Asympotic expansions Cantaluppi, Laurent Jean, Semi­ manifolds in S . of integrals with three coalescing saddle Markov decision chains with holding­ time-dependent policies. SCIENCE AND MATHEMATICS points. EDUCATION Romero, Louis Anthony, I. Similarity Dobson, Gregory Chase, Some exact and solutions of the equations of three phase approximation algorithms for packing and Rin, Hadas, Linguistic barriers to stu­ dents' understanding of definitions flow through porous media. II. The covering problems. in a fingering problem in a Hele-Shaw cell. Fenelon, Mary Catherine, Preconditioned college mathematics course. Scheid, Robert E., The accurate numeri­ conJ"ugate-gradient-type methods for large­ STATISTICS cal solution scale unconstrained optimization. of highly oscillatory ordinary Abramson, Ian Stephen, On differential equations. Iusem, Alfredo Noel, Continuous time kernel linear programs with economic applica­ estimates of probability densities. MATHEMATICS tions. Draper, David Charles, Rank-based Howard, Ralph Elwood, The volume of Kin!, Sehun, General equilibrium models: analysis of linear models. tubes in homogeneous spaces. Formulation and computation. Ellis, Steven Paul, Density estimation for Rands, Bruce M. I., Mazimal cliques Lafond, Louis Joseph, On the deter­ point process data. in graphs associated with combinatorial ministic production planning of a large Hetherington, Thomas, Analysis of direc­ systems. hydroelectric system. tional data by exponential models. Wiid, Franz G., Aspects of the theory of Tovey, Craig Aaron, Polynomial local Holmes, Robert Milton, Contributions to normed spaces. improvement algorithms in combinatorial the theory of parametric estimation in Wolfskill, John Charles, On a special optimization. randomly censored data. class of reduced algebraic numbers. Wilson, Thomas F., Energy price policies Hsiung, Jaw Huan, Calculation of Claremont in Canada and Mexico. measures of information for life test Graduate Sehool experiments (2;1,0,0,0,1,0,0) and inventory models. STATISTICS Loh, Wei-Yin, Tail-orderings on sym­ MATHEMATICS Anderson, Keaven M., Moment expan­ metric distributions with statistical ap­ Lambert, John Patrick, Some develop­ sions for robust statistics. plications. ments in optimal and quasi-Monte Carlo Chen, Chen-Hsin, Correlation type Reeves, Jaxk Halbert, A statistical quadrature, and a new outlook on a goodness-of-fit tests for randomly cen­ analysis and projection of the effects of classical Chebyshev problem. sored data. divorce on future U.S. kinship structure.

639 Vasudevan, Srinivas, Probability ap­ University of California, Chu, Wellington, Structure comparison proximations for rums of independent Riverside and semantic interpretation of differences. and non-identically distributed random (4;2,2,0,0,0,0,0) Fellows, Jonathan, Applications of variables. abstract data types: The trio operating Wang, Jane-Ling, Asymptotically mini­ MATHEMATICS system. max estimators for distributions with Duncan, Melody Jane, Order dimension King, Roger, A semantics-based methodot. increasing failure rate. in compact partially ordered spaces. ogy for database design and evaluation. Motte, David L., A constructive approach Vilnrotter, Felicia, Structural analysis of University of California, to minimal projections in Banach spaces. Davis natural te'&lm.res. (1;0,0,0,0,1,0,0) STATISTICS COLORADO MATHEMATICS Angus, John, Goodness-of-fit tests for exponentiality based on loss-of-memory Hall, Mary Stuart, Numerical solution to type functional equations. Colorado State University (11;4,2,0,0,5,0,0) the Stokes equations for flow past two Zahedi-Jasbi, Hassan, Multivariate mean spheres and a chain of particles attached remaining life function: Structural charac­ MATHEMATICS to a sphere, with an application to filter terization and inference. clogging. Egger, Alan, Constrained approximation University of California, and strong uniqueness in IJ' spaces. University of California, San Diego Kerayechian, Asghar, Age-dependent Irvine (8;4,1,0,0,1,0,2) population with finite life span. (4;3,1,0,0,0,0,0) Nikolopoulos, Christos, On the closed MATHEMATICS MATHEMATICS socle of orders. Dick, Wayne Earl, Bridges and duality. Ruge, John W., Multigrid methods for Harrington, David James, Seminormal Hunter, John Alan, Harmonic analysis differential eigenvalue and variational composition operators. over imaginary quadratic number fields. problems and multigrid simulation. Murufas, Roderic, Inverse spectral Rodriguez, Jose, Tableaux representation Santanilla, J airo, A degree theoretic ap­ problems and the determination of of finz'te structures. spectral multiplicities from positive matrix proach to solutions of operator equations meall'Ures. Sands, Jonathan Winslow, The conjec­ lying in convex seta with applications. ture of Gross and Stark for special values Schaffer, Steven, Higher order multi-grid Reid, John Gordon, Estimate on momenta of Abelian L-series over totally real fields. of the solutions to stochastic differential methods. equations in the plane. Scales, William Alan, Interpolation with Tento, Scott W., The Benard problem meromorphic functions of minimal norm. with a free and deformable surface. Williams, Patrick R., Coordinate-free linear models, the multivariate binominal Tsai, Kao-Tai, Asymptotic expansions Twombly, Evan Eugene, Bifurcalll'ng distribution, and applications. for the distribution of some polynomial instability of the free surface of a regression estimates. ferro fluid. University of California, Wallace, Dorothy Irene, Selberg's trace Zorabi, Honargohar, Weak star conver­ Los Angeles formula and unita in higher degree number gence of signed Barel meall'Ures on the (12;5,4,0,0,2,0,1) fields. unit square. Whitney, Roger Earl, Bijective studies BIOMATHEMATICS of tableaux, matrices, and reverse plane STATISTICS Louy, Charles, Mathematical models of partitions. Krier, Margaret Josephine, Models o:cygen transport in skeletal muscle. and ma:ct'mum-likelihood inference for University of California, multiple-mode censored survival pro­ BIOSTATISTICS Santa Barbara cesses. Lui, Kung-Jong, Bayesian approach to (5;3,1,1,0,0,0,0) Lucas, Robert Murray, Asymptotic mo­ small domain estimation. MATHEMATICS ments and distributions of the first exit Nessim, Sharon Anne, An evaluation of time of controlled branching processes. the small sample properties of Cox, Man­ Amrine, Brian Delbert, Characterization tel Haensze~ and Wilcoxon survival testa and construction of approximately finite University of Colorado in the presence of covariate information. dimensional von Neumann algebras. (3;2,0,0,0,1,0,0) Chen, Pinyuen, An alternative definition Plourde, Robert S., An investigation of MATHEMATICS chi-square statistics: With applications to of correct selection in ranking and the analysis of matched pair designs. selection problems. Carter, Thomas J., Localized homotopy O'Dunlaing, Colm Padraig, Finite and of the classical Lie groups. MATHEMATICS infinite regular Thue systems. Ely, Richard Wayne, Existence theorems, Adjemian, B. Carol, A three-chamber Psomopoulos, Evagelos, On the com­ comparison techniques, and the method of hydroelastic model of the cochlea. mutativity of certain classes of rings. lines for parabolic functional equations. Bland, John Scott, Local boundary Yamini, Amir H., Structure and com­ Larsen, Eric, Negative definite functions behaviour of the canonical Einstein­ mutativity of rings with constraints on on locally compact groups. Kohler metric on pseudo-convex domains. generalized commutators. University of Denver Carbery, Anthony Patrick, Some sharp estimates for Fourier multipliers. University of California, (1;0,0,0,0,1,0,0) Santa Crus Chou, Wu-Nan, Classification of metabet. MATHEMATICS AND (1;1,0,0,0,0,0,0) ian p-groups. COMPUTER SCIENCE Chuang, Chen-Lian, The propagation of MATHEMATICS Naroditsky, Vladimir A., Finite dimen­ scales by game quantifiers. Roccaforte, Raymond, Asymptotic ex­ sional quantum mechanics. Marron, James Stephen, Optimal rates of pansions of traces for certain convolution convergence in nonparametric discrimina­ operators. University of Northern Colorado tion. (10;2,4,0,1,0,2,1) University of Southern California Sanders, Richard Stephen, On con­ APPLIED STATISTICS vergence of monotone finite difference (5;0,0,5,0,0,0,0) schemes with variable spatial differencing. Al-Eidarous, Al-Sayd Omar Hussein, COMPUTER SCIENCE An obfective policy for selection and Tyler, Douglas Blaine, Determination of Baker, Deborah, The use of requirementa assignment of Saudi Arabian Foreign groups of exponent p and order p7 . in rigorous system design. Ministry personneL

640 Bory, Alexander, Physiological measures Singhal, Sharad, An adaptive signal Rockman, Mark Joel, Convergence of and psychological factors in biofeedback. synthesis technique for a parametric a direct algorithm for nonlinearly con- Freese, Rudolph John, Jr., Characteristic array. strained nonlinear programming problems. physical correlates of urban residential MATHEMATICS dilapidation. FLORIDA French, Vikki, Subjective judgement Boe, Brian Douglas, Homomorphisms between generalized Verma modules. analysis of Maya pottery. Florida State University Carter, J. Scott, Surgery on immersions: Megahed, Abdul-Razek Mohamed, A (9;2,4,0,2,1,0,0) A geometric approach to stable homotopy. Monte Carlo investigation of the nor­ mality assumption with truncated normal Cogdell, James Wesley, Arithmetic MATHEMATICS AND populations. quotients of the complex 2-ball and COMPUTER SCIENCE modular forms of nebentypus. Zaher, Adel M., A comparison between the Burton, Dale, Application of the method means procedure and some nonparametric Fife, James Henry, Triple products in the of matched asymptotic expansions to procedures for selecting the best nor­ Steenrod algebra. large scale instability waves and sound mal population under heterogeneity of Krikeles, Basil Constantin, Estimates radiation problems. variance. for certain non-linear singular integral Dowlen, Mary Margaret, On the R­ operators. automorphism of R[X]. MATHEMATICS STATISTICS Bushyager, G. Ray, n, The development STATISTICS Bergman, Sten W., Acceptance sampling: of a mathematics attitude inventory for Arghami, Nasser Reza, Partial sequen­ The buyer's problem. secondary students in the Des Moines tial tests for the mean of a normal public schools. Irvine, John M., Changes in regime in distribution. regression models. Dodd, Fred, Number theory in the integral Dabadie, Catherine Anne D., Stochastic Oehlert, Gary William, Estimating the domain Z(! + VS). versions of rearrangement inequalities mean of a positive ramdom variable. with applications to statistics. Manzer, William Hector, Applications Ramey, Daniel Bruce, A non-parametric Joe, Harry Sue Wah, Percentile residual of mathematics for classroom instruc­ test of biomodality with applications to life functions-properties, testing and tion in several areas of undergraduate cluster analysis. mathematics estimation. Veed, Ellen, A study of the Frechet space DELAWARE Johannesson, Benedikt, Solutions to Lp,O

S.l Georgia Institute of Technology Northwestern University University of Dlinois, Chicago {6;0,0,0,4,2,0,0) {7;2,0,0,2,1,0,2) {3;1,1,0,0,1,0,0) SYSTEMS MATHEMATICS INDUSTRIAL AND INDUSTRIAL ENGINEERING AND ENGINEERING MANAGEMENT SCIENCES Bozdogan, Hamparsum, Multi-sample Ammons, Jane Caumley, Long range cluster analysis and approaches to validity generation expansion planning for power Eigen, Daryl, Human-machine protocols studies in clustering individuals. for new telephone services: Field evalua­ systems. Jensen, Anna-Lise, Grothendieck rings tion and design. Carreno, Jose, Economic lot scheduling for and integral representation rings of Hopf­ multiple products on parallel processors. Kumar, Ravi, Product differentiated equi­ algebra orders. Malmborg, Charles Joseph, A unified libria-structural stability, maximal dis­ Wazwaz, Abdul-Majid A., Uniform ap­ approach to selection, design and evalua­ persion. proximations for a singular perturbation tion of measures of performance for Lyon, Patricia Kay, Time-dependent problem with interior turning point at the organizational decision processes. structural equations modelling the boundary in the diffusion process. relationship between attitudes and dis­ Yu, Hsiao-Cheng David, Unified freight University of Dlinois, transportation model. crete choice behavior of transportation consumers. Urbana-Champaign MATHEMATICS Moran, Lisa, Office automation: Debunk­ {29;14,2,0,0,8,0,5) Boisvert, Robert E., Group analysis of ing the myths concerning its impact on MATHEMATICS the Navier-Stokes equations. the individual and the organization, a Anderson, Claude Wilson, III, Solutions Mokole, Eric Louis, Sinusoidal excita­ case study. tion of half-infinite chains of harmonic of quadratic equations in small cancella­ oscillators with one isotopic defect. MATHEMATICS tion groups. Borden, J. Martin, Bounds and con­ University of Georgia Hastings, Kevin John, Control of stochas­ structions for codes protecting against {3;1,2,0,0,0,0,0) tic processes in discrete and continuous asymmetric errors. time. MATHEMATICS Fisher, Evan David, Some almost sure Sedlacek, Steven, A direct method for convergence results. Wang, Derming, A similarity theorem for minimizing the Yang-Mills functional over a class of Toeplitz operators. Gardiner, Christopher John, A four dimensional manifolds. classification of Kupka-Smale flows on STATISTICS AND Williams, Steven Roger, A geometric the torus. COMPUTER SCIENCE study of smooth decentralized economic Goldberg, Larry A., Transformations of Anderson, Margaret Shugart, Minimax mechanisms. theta-functions and analogues of Dedekind eccentricity estimation in factor analysis sums. of singular matrices. University of Chicago Grear, Joseph Frank, Analyses of the Chan, Micah Yik-Man, Modified moment {14;12, 1 ,0,0,1,0,0) Lanczos algorithm and of the approxima­ and maximum likelihood estimators for tion problem in Richardson's method. MATHEMATICS parameters of the three-parameter inverse Raring-Smith, Robert Henry, Groups Gaussian distribution. Barrett, David, Transverse symmetries and simple languages. and proper holomorphic maps. Kurtz, Stuart Alan, Randomness and HAWAII Brown, David Cory, Alternating-direction genericity in the degrees of unsolvabitity. University of Hawaii iterative schemes for mixed finite ele­ Marble, Robert Patrick, Orthomodular for second order elliptic {1;0,1,0,0,0,0,0) ment methods lattices and cut elimiation. problems. McConnell, Terry Robert, Inequalities PUBLIC HEALTH SCIENCES Christ, F. Michael, Restriction of the for random walk and partially observed Joesoef, Mohamad R., Epidemiological Fourier transform to submanifolds of tow Brownian motion. model and resource allocation for tuber­ codimension. McCurley, Kevin Snow, Explicit es­ culosis control in the Republic of Korea. Cohen, Gerald M., Hardy spaces: Atomic timates for functions of primes in arith­ decomposition, area functions, and some metic progressions. IDAHO new spaces of distributions. Meadows, Catherine Ann, Profections of Idaho State University Coombes, Kevin R., Algebraic K -theory varieties. {1;0,0,1,0,0,0,0) and abelianized fundamental groups of Naiman, Daniel Quitt, Optimal simul­ curves. taneous confidence bounds in regression. MATHEMATICS Friedberg, Solomon, Theta functions, Rhoads, Dennis Lynn, On the distribution Graves, George Elton, Computer-drawn liftings, and generalized Hilbert modular function of n/

642 Mendenhall, Frederick, Jr., Computer Haddock-Acevedo, Jorge, Energy plan­ Chandhok, Promod K., A study of the aided analysis of photoelastic images. ning for Puerto Rico: A systems modeling effects of measurement error in the survey Mikolaitis, David Walter, Flames in approach. sampling. straining flows. Kilmartin, Michael, The value of Escobar, Luis Alberto, Optimum mul­ Newaz, Golam M., Azial cyclic response electricity freed by distributed solar sys­ tiple- and single-stress accelerated life of unnotched and notched carburized tems. tests. cylindrical members under constant Medeiros, Deborah J., Scheduling parallel Hale, Michael, Attainable bounds for amplitude completely reversed loading. processors with due dates and setup. generalized moments via mathematical Palgen, Luc, The structure of stress-strain Pugh, Gardner Allen, Inspector allocation programming. relations in finite elasto-plasticity. in a production environment. Ho, Chung-Man (Fred), Selected topics Sutton, Michael A., On the theory Stecke, Kathryn E., Production planning in computer generation of pseudorandom of speckle shearing interferometry with problems for flexible manufacturing sys­ numbers. diffraction gratings as shearing com­ tems. Lee, E. Heney, Estimation of seasonal ponents. Wu, Billy D., A mathematical model of autoregressive time series. Tomita, Nobuya, Analysis of cyclic machining chatter. Mee, Robert Wayne, Analysis of ordered categorical responses, assuming an un­ plasticity, fatigue and fracture of thiclrr MATHEMATICS walled cylinders. derlying continuous variable. Velinsky, Steven Alan, Analysis of wire Aviles, Patricio Ubaldo, A study Mowers, Ronald Paul, Effects of rotations ropes with complex cross sections. of singularities and Phragmen-Lindelof and nitrogen fertilization on corn yields theorems for certain classes of nonlinear Wong, Albert, A new look at the theory of at the Northwest Iowa {Galva-Primghar) elliptic second order partial differential Research Center. double-apertures speckle photography. equations. Wu, Yensen, The boundary integral Niknian, Minoo, Contributions to the Chang, Chin-Huei, Problems in partial problem of goodness-of-fit. equation method for torsion on an differential equations and applications to inhomogeneous variable diameter shaft. Noorbaloochi, Siamak, Some contribu­ several complex variables. tions to Bayesian estimation. INDIANA Gau, Yih-Nan, Differential invariance of Ramos, Juan Enrique, Estimating the multiplicity. probabilities of misclassification in dis­ Indiana University Lang, J eft'rey John, The divisor classes of criminant analysis. (8;7,0,0,0,1,0,0) the surface zPn = G(X, Y) over fields of Sastrosoewignjo, Soetarto, Aspects of characteristic p > 0. CDF MATHEMATICS bivariate iteration. Leckband, Mark Alan, An integral Skarpness, Bradley, Optimality conditions Collins, Clyde, Some properties of the inequality with applications. and dual formul.atons for programming length dependence of a class of Fitzllugh­ Mutchler, Carl Norman, Existence and problems over cone domains. Nagumo-like systems of partial differential regularity for the Cauchy problem in flat equations. University of Iowa functions for radially hyperbolic operators. (3;1,1,1,0,0,0,0) Dudziak, James, Spectral mapping Patton, Jon Michael, On the derivation theorems for subnormal operators. of the Titus-Bode law. COMPUTER SCIENCE Kittaneh, Fuad, Commutators ofCp type. Ramanujachari, Narasimhan, Equimul­ O'Donnell, John Thomas, A systolic Seddighi, Karim, The class B1(0) and tiple locus of a hypersurface. associative LISP computer architecture some of its properties. with incremental parallel storage. STATISTICS Sideris, Thomas, Global behavior of MATHEMATICS Chen, Jeesen, On density estimation. solutions to nonlinear wave equations. Hansen, Kristina Dale, Restriction of the Simmons, John Wiseman, II, Zero Constantine, Kenneth Bruce, Optimal ramified supercuspidal representations of commutative group algebras and algebras restricted experimental designs. GL2(F) to GL2( OF), F a p-field. of small order over the field Z2 and other University of Notre Dame fields. STATISTICS AND (5;5,0,0,0,0,0,0) ACTUARIAL SCIENCE Stredulinsky, Edward William, Weighted inequalities and applications to degenerate MATHEMATICS Hoflinan, Lorrie Lawrence, Missing data quasi-linear elliptic partial differential Bolla, Michael Leigh, Characterizing in growth curoes. equations. isomorphisms between endomorphism KANSAS Wang, Hsiao-lan, Uniform operators and rings of progenerators. quasi-similarity. Doty, Stephen Richard, Structure of Kansas State University Weyl modules for groups of type An. (3;1,2,0,0,0,0,0) Purdue University Gross, Daniel Joseph, On compact MATHEMATICS (22;7,2,4, 7,2,0,0) categorical quotients by torus actions. Heiman, Barbara J., Fourier transforms COMPUTER SCIENCES Higgins, William Joseph, Large Abelian of continuous functions on compact Chew, Leslie Paul, Normal forms in term unipotent subgroups of exceptional groups. rewriting systems. Chevalley groups. STATISTICS Joseph, Deborah A., On the power of Norris, Douglas, Isometrics homotopic Ash, Katherine Ann, Use of interblock formal systems for analyzing linear and to the identity on manifolds of negative information in analysis of covariance, polynomial time program behavior. curvature. and some repeated measures covariance Tolopka, Stephen J., On modeling local models. IOWA paging algorithms for virtual memory McGuire, Stephen Allen, Discrimina­ systems. Iowa State University tion using multivariate Bernoulli random Ward, William A., Jr., Finite difference (15;1,13,0,0,1,0,0) variables with applications in physical methods for nearly singular problems. anthropology. MATHEMATICS INDUSTRIAL ENGINEERING Eslami, Esfandiar, Generic filters in KENTUCKY Chen, Jhitang Steve, Integration of partially ordered sets. process planning with MRP and capacity University of Kentucky Potter, Evelyn Dianne Hatton, Multi­ (4;2,0,0,1,1,0,0) planning for better shop production plan­ variate polyharmonic spline interpolation. ning and control. MATHEMATICS England, William Lee, Medical diagnostic STATISTICS Hughes, Charles Bruce, Local homoto'P!I test sequencing and optimal protocol Blough, David King, Measures of location properties in spaces of approximate design. and asymmetry in the plane .. fibrations.

643 Leverenz, Christine Russel, Hermitian University of Maryland, Shmueli, Oded, The fundamental role forms in function theory. College Park of tree schemas in relational query Makowski, Armand Maurice, Dynamic (10;5,1,0,0,4,0,0) processing. programming for problems of impulse Spirakis, Paul George, Probabilistic algo­ control. MATHEMATICS rithms, algorithms with random inputs Solis, Francisco Javier, Stochastic op­ Berman, Robert David, Radial zeros and and random combinatorial structures. timization problems: A statistical ap­ the level sets of the module of an inner Swierzbinski, Joseph E., Bioeconomic proach. function. models of the effects of uncertainty on Bernstein, David, Newton polyhedra and the economic behavior, performance and LOUISIANA cohomology of complete intersections. management of marine fisheries. Bieterman, Michael Brady, The finite MATHEMATICS Louisiana State University, element method of lines for parabolic Baton Rouge equations-A posteriori error estimation Bayer, David, The division algon"thm and (2;2,0,0,0,0,0,0) and adoptive approach. the Hilbert scheme. MATHEMATICS Conner, Teresa M., A heteroscedastic Benson, Max Loell, The Kahler algebra model arising from dependance between and analytic equivalence of isolated Ritter, David Lawrence, Some singular the mean and the variance. hypersurface singularities. measures on the circle which improve Il' Berger, Eric Jules, The Gauss map and spaces. Gauss, Roger, Qualitative behavior of nonlinearly thermoelastic rods and plates. isometric embedding. Scott, Mark William, A natural Il'­ Grossmann, John Mark, Numerical study Dordal, Peter Lars, Independence results metric for spaces composed of probability concerning some combinatorial properties measures with pth-moment. of virtual cathode behavior in vacuum collective ion acceleration systems. of the continuum. Tulane University Koch, Matthew, Relations between the Griffin, Edmond Eugene, II, Special fibers (4;4,0,0,0,0,0,0) vanishing of £-functions of modular in families of plane curves. forms and the class number problems Gunther, Nicholas Langdon, Hamil­ MATHEMATICS for imaginary quadratic fields. tonian mechanics and optimal control. Castellano, Bruno Michael, Group ac­ Lee, Sung-Yung, Helson sets and the Jesudason, Judith Anne Packer, von tions associated with moniods on disks. balayage problem of Beurling. Neumann algebras associated to ergodic Hilgert, Joachim, Foundations of K­ Morgan, Richard, Mathematical aspects actions of countable groups. theory for c• -algebras. and computational considerations in the Jordan, Bruce Winchester, On the Meinel, Klaus, Superdecomposable mod­ theory of hamogeni.zation. diophantine arithmetic of Shimura curves. ules over integral domains. Rosen, Julie Ann, The Fortet integral Laquer, Henry Turner, Homogeneous Nino, Jaime, On continuous posets and with respect to a martingale. connections and Yang-Mills theory on their applications. homogeneous spaces. MASSACHUSETTS Livne, Ron Aharon, On certain covers of University of Southwestern Louisiana the universal elliptic curve. (4;0,1,3,0,0,0,0) Boston University Murty, V. Kumar, Algebraic cycles on COMPUTER SCIENCE (2;0,0,1,0,1,0,0) Abelian varieties. Silverman, Joseph H., The Neron-Tate Gallizzi, Edmund, Interprocess com­ MATHEMATICS munication in a distributed function en­ height on elliptic curves. vironment using dataflow protocols. Abedinejad, Mohammad Mehdi, Lan­ Wright, David James, Dirichlet series Michelsen, Christie D., The objective guages for relational data models. associated with the space of binary cubic evaluation ofiS&R/DBMS systems utili.lf. Magliaro, Antonio, Determination of forms with coefficients in a number field. ing software engineering principles. switching locus in non-linear optimal STATISTICS Michelsen, Randy, A data driven software bang-bang control problems via perturba­ tion analysis. Okafor, Raymond, Bias due to logistic development language and the kernel of nonresponse in sample surveys. an associated development methodology. Brandeis University Massachusetts Institute of (3;3,0,0,0,0,0,0) MATHEMATICS AND STATISTICS Technology Wu, Trong, Estimation in a mizture of MATHEMATICS (16;7,0,1,4,4,0,0) two ezponential distributions. Neto, Oziride Manzoli, Total linking MATHEMATICS number modules. MARYLAND Adams, Malcolm Ritchie, Spectral prop­ Schwartau, Phillip, Liason additon. erties of zeroth order pseudo-differential Johns Hopkins University Wilson, George V., Preprojective parti­ operators. (3;1,0,0,1,0,0,1) tions and Poincare-Betti series for finite Garfinkle, Devra, A new construction of dimensional algebras. the Joseph ideal. MATHEMATICAL SCIENCES Harvard University Greenberg, Peter Abraham, A model for Mahdavi-Amiri, Nezameddin, Generally (22;13,1,6,0,2,0,0) groupoids of homeomorphisms. constrained nonlinear least squares and Haass, Jon Christopher, Toward a generating nonlinear programming test APPLIED SCIENCES dynamical classification of spiral gala:!7ies. problems: Algorithmic approach. Blaustein, Barbara T., Enforcing Hickernell, Frederick John, Finite­ MATHEMATICS database assertions: Techniques and ap­ amplitude large scale disturbances in Lin, En-Bing, Geometric quantization of plications. layered stratified shear flows. particles with isotopic spin. Emerson, Ernest Allen, II, Branching Kalish, Shlomo, Control variables in Salvati Manni, Riccardo, On the not time temporal logic and the design of models of innovation diffusion. identically zero nullwerte of Jacobians of correct concurrent programs. Lee, John Marshall, Higher asymptotics theta functions with odd characteristics. Farrell, Brian F., Baroclinic instability as of the complex Mange-Ampere equation an initial value problem. and geometry of OR-manifolds. University of Maryland, Baltimore Leitner, Henry Haskel, A knowledge Leighton, Frank Thomson, Layouts for (1;0,0,0,0,1,0,0) representation formalism for human­ the shujfie-ezchange graph and lower MATHEMATICS oriented computer systems. bound techniques for VLSI. Nikolaou, Christos, Reliability issues in Patera, Anthony Tyr, Secondary in­ Ng, Sze-kui, Optimal finite-order filtering. distributed systems. stability in wall-bounded shear flows.

644 Penner, Robert Clark, A computation of Univel'llity of Michigan, Ann Arbor Verchota, Gregory Charles, Layer poten­ the action of the mapping ciiJI!s group (12;7,1,0,2,0,0,2) tials and boundary value problems for on isotopy ci1J8ses of curoes and arcs in Laplace's equation on Lipschitz domains. surfaces. INDUSTRIAL AND OPERATIONS Zaa.re-Nahandi, Rahim, Seminormality Shortt, Rae Michael, Ezistence of laws ENGINEERING of certain generic projections. AI-Idrisi, Mustafa, Unconstrained min­ with given marginals and specified sup­ STATISTICS port. imization algorithms for function with Staab, Edward Francis, An investigation singular or ill-conditioned Hessian. Meyer, Michael Malcolm, Applications of the shallow water equations with Kang, Kyo, An approach for supporting and generalizations of the iterative propor­ hydraulic drag. system development methodologies for tional fitting procedure. Uribe Ahumada, Alejandro, The averag­ developing a complete and consistent Shih, Wei-Chung Joe, Multiple linear ing methods and spectral invariants. system specification. regression with incomplete data. Lee, Kwan, Biomechanical modelling of OPERATIONS RESEARCH cart pushing and pulling. MISSOURI Chu, Samuel Chin-Wei, Location prob­ Miller, George, Sequential rectifying in­ lems in the presence of queuing. spection procedures with applicability to St. Louis University Sarka.r, Debashish, Energy economics and motor vehicle emission certification test­ (2;2,0,0,0,0,0,0) optimization: A synthesis. ing. MATHEMATICS Yanasse, Horacio Hideki, Aggregation Stobbe, Terrance, The development of a Schneider, Michael Barney, Expansions and computational complezity of lot size practical testing program for industry. and equivalences of Boolean functions. problems. MATHEMATICS Zahn, Robert Lawrence, Refined con­ jugacy cliJI!ses and characters and the Northeastem University Dutta, Sanka.r Prasad, Multiplicities over reduction of representations. (2;1,1,0,0,0,0,0) local rings. MATHEMATICS Fedder, Richard Scott, F-purity and University of Missouri, Columbia rational singularity. (1;0,1,0,0,0,0,0) Gu, Huaijin, Nonparametric uymptoti­ Fleming, Philip Joseph, Structural cally efficient estimation of a signal in STATISTICS stability and group cohomology. the nonlinear ciJIIe. Hawkins, William Anthony, Jr., The George, Varghese, Technological data Henze, John Charles, The construction etale cohomology of certain p-torsion analysis using the method of tested priors. of ci1J8sifying spaces for certain foliations sheaves. and examples for their cohomology. Univel'llity of Missouri, Kansas City Lee, Kyung Bai, Seifert relatives of flat (3;3,0,0,0,0,0,0) University of Massachusetts, Riemannian manifolds. Amherst Tsao, Anna, Coefficients of meromorphic MATHEMATICS (2;2,0,0,0,0,0,0) univalent functions. Conklin, Joyce, Reflezive algebriJ8, reflezive lattices, and characteri.zationsof MATHEMATICS AND STATISTICS Vmce, Andrew Joseph, Combinatorial maps. subspace lattices in the finite dimension. Baulieu, Forrest Brian, Order theoretic Euler, Russell, Generalized differences. ciiJI!sification of cluster methods. MINNESOTA Kemp, Marilyn H., Lorentzian warped Fisher, Robert James, Jr., Dolbeault products of a second type. cohomology for compact complex nil­ University of Minnesota, Univel'llity of Missouri, Rolla manifolds with values in a line bundle. Minneapolis (1;1,0,0,0,0,0,0) (16;8,2,5,0,0,0,1) MICmGAN MATHEMATICS AND STATISTICS BIOMETRY Bray, William Oliver, On the integrability Michigan State Univel'llity Gomez-Marin, Orlando W., Randomiza­ and L 1-convergence of trigonometric tion and Gaussian linear models for the (9;7,1,0,0,1,0,0) series. two period cross over design. MATHEMATICS COMPUTER SCIENCE Washington University Chu, Moody Ten-Chao, A nonlinear (5;5,0,0,0,0,0,0) multistep method for solving stiff initial Dekel, Eliezer, Parallel algorithms. value problems. Gold, Yaron, Generalized efficient-access MATHEMATICS Gorkin, Pamela B., Decompositions of protocols for multi-access channels. Bloom, Steven H., Weighted norm in­ 00 equalities of vector-valued functions. the maximal ideal space of L • Lai, Steve, Design of parallel algorithms. Kraay, Julie Ann, Relationships between Leininger, Brian, The complezity of Hernandez, Eugenio, Topics in complex the restricted ideals and induced modules decision problems. interpolation. on the group ring 7G. Raghaven, Ragunath, Algorithms for Kline, Robert M., Extremal configurations layout problems in design automation. on Riemann surfaces. STATISTICS AND PROBABILITY Livingston, Ellen Schmitz, Linearization Blake, Michael George, Testing two MATHEMATICS of analytic vector fields with a common failure rates with right censored and Bauman, Patricia Ellen, Properties of critical point. uncensored data. nonnegative solutions of second-order Yang, Kichoon, Induced projective struc­ Blum, Gilles, Limit theorems for discrete elliptic equations and their adjoints. tures on submanifolds of real projective parameter random evaluations. Griffin, Philip Stanley, The growth of space. Geetha, Rangaswami, Spatial patterns­ d-dimensional random walk. statistical formulation and analysis. Hall, Glen Richard, II, On invariant sets MONTANA Pasha, Einollah, On the structure of of certain maps of the annulus. Montana State Univel'llity Germ-Field Markov Processes on finite Johnson, Steven D., Resolutions of ideals. (4;2,2,0,0,0,0,0) interoals. Lin, Ching-her, The sufficiency of Mat­ Soltani, Ahmad R., Topics on the theory kowsky-condition in the problem of MATHEMATICAL SCIENCES of homogeneous random fields. resonance. Angelos, James Roy, Part I: Strong Wittig, Timothy A., A dynamical Shaw, Richard Knox, A cliJI!s of operators uniqueness in lJ' spaces, 1 ~ p < oo. theory of generalized Ornstein- Uhlenbeck which acts on the Hardy space H 1, and Part II: Questions on polynomial product processes. a related weight condition. approzimation and an application.

645 Bergum, James Stanley, Simultaneous White, Brian Cabell, Singularity structure Lewinter, Martin, Flat points on con­ estimation of risk in several 2 X 2 and generic regularity of two-dimensional tinuous isometric deformations of con­ contingency tables: An empirical Bayes area-minimizing surfaces. nected planar regions. approach. STATISTICS Perlin, Mark William, Random graphs Chew, Robert D., Estimating toxicity applied to the immune network. curves by fitting a compartmental-based Bartmann, Flavia C., A new angle on model to median survival times. past and future. Clarkson College of Technology (4;0,0,1,0,3,0,0) Riley, Bruce Victor, Galerkin schemes for Beltrao, Kaizo, Spectral analysis of time elliptic boundary value problems. series with hidden missing values. MATHEMATICS AND Horn, Paul, On simple robust confidence COMPUTER SCIENCE University of Montana procedures. Al-Nasr, Nazar Abdulmohsen, Mathe­ (1;0,0,0,0,1,0,0) Stine, Robert A., Prediction intervals for matical investigation of linear control MATHEMATICS time series. systems containing input derivatives. Cromer, Tom, Asymptotically periodic Rutgers University, New Brunswick Halabi, Yahia Sabri, Numerical simula­ solutions to some integral equations in (8;4,2,0,0,1,0,1) tion of transport processes in natural epidemic modeling. rivers. MATHEMATICS Taha, Thiab Rashed Moh., On the NEBRASKA Breen, Stephen A., Large order perturba­ numerical and analytic aspects of certain tion theory for the anharmonic oscillator. nonlinear evolution equations. University of Nebraska Darken, JoAnne S., Accessible sets for Tenny, Theodore Carl, A business pro- 2 small computers. (4;2,0,1,1,0,0,0) analytic systems in R gramming language for Farber, Martin Robert, Applications of MATHEMATICS AND STATISTICS Columbia University LP duality to problems involving indepen­ (6;5,1,0,0,0,0,0) Grow, David Edward, A class of Io-sets dence and domination. Henderson, Johnny L., Right focal point Gerszonowicz, Jorge A., Parametrices of MATHEMATICAL STATISTICS boundary value problems for ordinary the forward Cauchy problem for a class Wu, Lancelot, On recursive estimation, differential equations. of operators with double characteristics. adaptive filtering, and stochastic ap­ Sebo, Donald E., Multiple ob}ective linear Kim, Do-Han, Global solvability in C 00 proximation. programming in ob}ective space. and examples of PDEs without noncon­ MATHEMATICS stant solutions. van de Liefvoort, Albertus H.A., An Davis, Richard Andrew, Representation algebraic approach to the steady state Schachter, Paul Joseph, Z-knots. theory of H*-algebras. loops. solution ofG/G/1//N type STATISTICS Heifetz, Daniel Boris, p-adic oscillatory integrals and wave front sets. NEW HAMPSHIRE Kourouklis, Stavros, Bahadur optimality of sequential experiments with exponential Kennedy, Gary Philip, An integral data. formula for the Milnor number. Dartmouth College Przytycki, Jozef, Incompressible surfaces (3;2,0,1,0,0,0,0) Sharrock, Glenn Edward, Confidence intervals for a normal variance. in 3-manifolds. MATHEMATICS Vasas, Martin, Homotopy and codimen­ Doyle, Peter Grant, Application of NEW MEXICO sion one splitting. Rayleigh's short-cut method to P6lya 's Cornell University recurrence problem. New Mexico State University (16;1,1,3,5,6,0,0) Glaser, Mary Eileen, A polynomial time (2;2,0,0,0,0,0,0) APPLIED MATHEMATICS algorithm for isomorphism of directed MATHEMATICAL SCIENCES graphs of bounded valence. Ellner, Stephen Paul, Evolutionarily Albrecht, Ulrich Frederich, Ideal condi­ stable germination behaviors in randomly Hoffman, Woodward Crim, Sound and tions in endomorphism rings. complete axiomatics for the programming varying environments. Giovannitti, Anthony John, Standard languages with parallelism. Greenspan, Bernard David, Bifurcations constructions in Abelian group theory. in periodically forced oscillations: Subhar­ NEW JERSEY University of New Mexico monics and homoclinic orbits. (2;1,1,0,0,0,0,0) Klein, David Michael, Techniques and the decay of correlations in continuum Princeton University MATHEMATICS AND STATISTICS (12;8,4,0,0,0,0,0) statistical mechanics. Johnson, Roger B., Estimation of density Munson, Beth Spellman, Face lattices of MATHEMATICS and dispersion in m-dimensional space oriented matroids. Federer, Leslie Jane, p-adic £-functions, based on distance measurements. Munson, Gary Alan, Causal information regulators, and Iwasawa modules. Nett, Susan Anderson, Singular pertur­ transmission with feedback. Goodwillie, Thomas, A multiple dis­ bation of certain boundary value problems Prakash, Chetan, High temperature }unction lemma for smooth concordance in Banach space. differentiability of lattice Gibbs states by embeddings. Dobrushin uniqueness techniques. Greenleaf, Allan Thomas, Estimates for NEW YORK BIOMETRICS pseudodifferential operators with mixed Wijesinha, Anila, On testing for a characteristics. CUNY; Graduate Center (4;2,0,1,0,0,0,1) functional relationship between mean and Heiligman, Mark, A p-adic theory of variance with applications to regression. hypergeometric differential equations. COMPUTER SCIENCE COMPUTER SCIENCE Indik, Robert Adam, Fourier coefficients Rudowsky, Ira Stephen, Computational of non-holomorphic Eisenstein series on techniques for the evaluation of total Archer, James Elson, Jr., The design and a tube domain associated to an orthogonal service time in packet-switched store-and­ implementation of a cooperative program environment. group. forward communication networks: Cyclic development Shaw, Mei-Chi, Hodge theory on domains allocation and bounding procedures. Krafft, Dean Blackmar, AVID: A sys­ with cone-like or horn-like singularities. tem for the interactive development of Solomon, Bruce Michael, Lipschitz spaces MATHEMATICS verifiably correct programs. of multiple valued functions and the Haghighi, Mahmood, Relative integral Schlichting, Richard Dale, Axiomatic closure theorem. basis in algebraic number fields. verification to enhance software reliability.

646 MATHEMATICS Tomei, Carlos, The Boussinesq equation. STATISTICAL DIVISION Schrieber, Leonard Robert, Nonrecur­ Venakides, Stephanos, The zero disper­ Fischer, Diane M., The largest variance siveness in Euclidean and integral sion limit of the Korteweg-de Vries equa­ ratio statistic: An analysis and simulation. domains. tion. Malec, Donald John, Bayesian predictive Weinberger, Samuel, Homotopy equiv- OPERATIONS RESEARCH inference for stratified and stratified two­ AND INDUSTRIAL ENGINEERING alent manifolds by pasting. stage sample designs. Amato, David, The statistical design Rensselaer Polytechnic Institute Reilly, Andrew A., Statistical models and analysis of animal cancer treatment (4;0,0,1,2,1,0,0) for multiple response categorical data: A experiments. Bayesian approach. MATHEMATICAL SCIENCES Bauer, Mary Ann, The reliability of STATISTICS series-parallel load-sharing systems that Hattori, Harumi, Problems in non­ Razanadrakoto, Dieudonne, The dis­ contain flaws. homogeneous conservation laws. tribution of the number of times outside a Cogliano, Vincent, Sensitivity analysis Prelle, Myra Jean, Elementary first linear boundary associated with the strong and model identification in simulation integrals of differential equations. law of large numbers. studies: A frequency domain approach. OPERATIONS RESEARCH AND SUNY at Stony Brook Kulkarni, Radhika, Closed adaptive se­ STATISTICS quential procedures for selecting the best (12;7,1,0,1,3,0,0) Kupferschmid, Michael, An ellipsoid of k ~ 2 Bernoulli populations. algofithm for convex programming. APPLIED MATHEMATICS AND Singh, Harpal, Lot size considerations for STATISTICS parallel and series machines. Oudjit, Aissa, Median locations on deter­ ministic and probabilistic multidimen­ Jen, Erica, Direct methods for the New York University, sional networks. approximate solution of singular integral Courant Institute equations. (21;12,0,0,0,9,0,0) Rockefeller University Kerr, James Bruce, Optimal approxima­ (1;0,0,0,0,1,0,0) tions of linear operators. MATHEMATICS MATHEMATICS Ouyang, Sao Peter, Empirical Bayes and Augenbaum, Jeffrey Mitchell, A new density estimation. Katz, Talbot Michael, Bizarre behavior Lagrangian method for the shallow water Tang, Ignatius, Iterative methods for equations. in gases and magnets. solving inverse problems in atmospheric Bassein, David, Classifications of some SUNY at Albany sciences. nearly cyclic finite groups. (3;1,2,0,0,0,0,0) Teng, Austin, An O(n312) algorithm for Beylkin, Gregory, Generalized Radon coloring proper circular-arc graphs. transform and its applications. MATHEMATICS AND STATISTICS Birnir, Bjorn, Complex Hill's equation, Chiu, Hui-Yuan, A new Bayesian ap- MATHEMATICS complex Korteweg-de Vries flows and Ja­ proach to estimating finite population Addington, Susan L., Families of abelian cobi varieties. parameters. varieties of non-Satake type, over a Buys, Mutiara, The Kovalevskaya top. Ryczaj, Jerzy, ck-estimates for the quotient of a product of upper-half planes. Clarke, Dale Marie, The structure of Cauchy-Riemann equations on certain Chu, !-ping, Riemannian fibrations of the set of hyperbolic partial differential weakly pseudoconvex domains. Euclidean spaces. equations. Song, Chwan-Chin, Covariance stabilizing Haas, Andrew, Groups of automorphisms Cohn, Stephen Edward, Methods of se­ transformations. of Riemann surfaces. quential estimation for determining initial Hayslip, Iris, Characteristic classes for data in numerical weather prediction. SUNY at Binghamton modules over cyclic groups. Eydeland, Alexander, An iterative (2;1,1,0,0,0,0,0) Kang, Chunghyuk, Normal two dimen­ method for solving nonlinear variational MATHEMATICAL SCIENCES sional triple point singularities. problems. Mitchell, John, A local study of Carnot­ Finkel, Allan, Remarks on an eigenvalue Kavanagh, John Paul, Extensions of Caratheodory metrics. homeomorphisms and generalizations. problem associated with the periodic Sine­ Susskind, Perry, On Kleinian groups with Gordon equation. Mauro, David Whittlesey, Consistency intersecting limit sets. Korman, Philip, Existence of solutions for of Kaplan-Meier least squares estimators. a nonlinear BVP associated with water Syracuse University waves. SUNY at Buffalo (1;1,0,0,0,0,0,0) (12;8,3,1,0,0,0,0) Levermore, Charles David, The small MATHEMATICS dispersion limit of the Korteweg-de Vries COMPUTER SCIENCE equation. Schramm, Michael John, Topics in Chen, Keh-Jiann, Tradeoffs in machine generalized bounded variation. McCartin, Brian James, Theory, com­ inductive inference. putation, and application of exponential University of Roehester splines. MATHEMATICS (13;0,6,6,0,0,0,1) Morshedi, Christine, Stresses, strains and Jean, Maw-Ding, Homogeneous C*-alge­ displacements in a poroelastic layered bras and c•-algebra fibre bundles. COMPUTER SCIENCE pavement model subject to a moving load. King, Fenn, Topics in matrix theory. Arya, Arun Kumar, Super: Encapsulated N anda, Tara, Isospectral flows on band Pahk, Dae-Hyeon, Hypoelliptic convolu­ autonomous distributed computations on matrices. tion operators in the spaces KM. an abstract architecture. Pilant, Michael Stephen, Existence of Reichman, Jack Zev, Semicontinuous real Haas, Andrew, Planning mental actions. strong solutions for a perturbation prob­ numbers in a topos. Sabbah, Daniel, A connectionist approach lem in plane transonic flow. to visual recognition. 91\edrov, Andrej, Sheaves and forcing and Pinsky, Ross George, An analysis of Schudy, Robert B., Harmonic surfaces the Donsker- Varadhan !-function for their metamathematical applications. and parametric image operators: Their diffusion. Tan, Lee Yek, Hypoelliptic convolution use in locating the moving endocardial Saltzman, Jeffrey, A variational method equations in a subspace K]. of Beurling's surface from three-dimensional cardiac for generating multidimensional adaptive distributions with restricted growth. ultrasound data. grids. Watro, Ronald J., Effects of infinite Selfridge, Peter G., Reasoning about Sulsky, Deborah, Models of cell and tissue exponent partition relations on Mahlo success and failure in aerial image movements. cardinals. understanding.

647 Smith, Edward Tucker, Debugging tech- STATISTICS Portier, Christopher J., ~timal bioassa¥ niques for communicating, loosely-coupled Aunuddin, A comparison of various tech- design under the Armitage-Doll multi­ processes. niques for controlling two-dimensional stage model. MATHEMATICS systematic variation in agricultural field Stewart Paul W., Application of a bivariate t distribution to hwothesis Fernandez, Claudio, Resonances in ezperiments. testing in crossover designs. obstacle scattering. Brocklebank, John Clare, Estimating variance components using alternative Teeter, Rebecca A., Effects of measu;e­ STATISTICS minque 's in selected unbalanced designs. ment error in piece-wise regresszon Espeland Mark Andrew, Estimation Czochor Ronald John, A theoretical models. from co~tingency tables involving indirect analys~ of plant host-pathogen interac- Watson Bernard Peyton, Jr., Kendall's observation. tions in a gene-for-gene system. order 'statistics method of discriminant analysis. Menjoge, Shailendra, Some . ne~ pro- Hsu, Yea-Tsai Bill, The relative efficiency cedures in simultaneous estimation of of the approximate F-tests frequently OPERATIONS RESEARCH AND parametersj their compound and in- encountered in unbalanced designs. SYSTEMS ANALYSIS dividual risks. Landois, Luis Leon, Generalized least Liu Jun-Min, Production and inventory Moschopoulos, Panagis (Peter), Analysis squares analysis of the split-plot model sr:wothing problems with FIFO or LIFO of variance with random sample sizes. using an estimated variance-covariance constraints. Petrondas, Demetrios, Two topics in per- matriz. STATISTICS mutation (re-randomization) inference: Lifson, Dale Paul, Development and Double ratio statistics and multiple com- applications of the quantile regression Castellana John Vmcent, Nonparametric parisons. estimation (QRE} procedure. estimatio~ of probability densities for Pun, Fu-Ceayong, Model building by Paredes Hector Segundo, A per-plant stationary sequences. logistic regression. covari~nce analysis approach in the study Gallo, Paul, Properties of estimators in Rubin Abbe Sue, The use of weighted of the effects of missing plants on adiacent errors-in-variables regression models. contr:Uts in the analysis of models with plants in the field ezperiments. Murphree, Emily S., 'I'ransient cumulative heterogeneity of variance. Reynolds, John, Genetic distance and processes. coancestry. Schoenfelder, John Robert, Analysis of Yeshiva University covariance matching. (3;3,0,0,0,0,0,0) Sa.i:d, Elmahdy Sa.i:d, Testing for unit MATHEMATICS roots in autoregressive moving average models. omo Hahn, Susan, Two parallel queues created Tang, Dershuen Allen, Verbal an_d non­ by am'vals with two demands. Bowling Green State University verbal aspects of machine perception a~d (5;3,2,0,0,0,0,0) Herzberg, Martin, The invariance prin­ fcnowledge representation in artifical zn­ ciple and asymptotic completeness for a telligence. MATHEMATICS AND STATISTICS quantum mechanical system. Vivaldi Lucio Jose, Models and designs Adegboye, Olawoye Adegboye, On test- Kohn Merlye Cherrick, Difference equa­ for th;ee-treatment, two-period cross-over ing against restricted alternatives in tion 'techniques for the solution of partial studies. Gaussian models. differential equations. Warren, John, Weighted ridge regression. Goel, Sudhir Kumar, Completely unstable flows on manifolds. NORTH CAROLINA University of North Carolina, Kumar, Ashok, Quasi-varieties of lattice Duke University Chapel Hill ordered groups. (3;1,1,1,0,0,0,0) (19;1,17,0,1,0,0,0) Soni, Anil Kumar, Studies in univalent functions. BIOSTATISTICS COMPUTER SCIENCE Tang, Jen, Exact distribution of c~rtain Leuze Michael Rex, Memory access Agung, lgusti, Some nonparametric pro­ test statistics in multivariate analyBlS. patte'rns for vector machines with applica­ cedures for general right censored data. tions to problems in linear algebra. Bonney, George Ebow, Maximum likeli­ Case Western Reserve University (8;4,1,0,2,0,0,1) MATHEMATICS hood methods for genetic analysis of multivariate pedigree data. MATHEMATICS AND STATISTICS Oberguggenberger, Michael B., Propaga­ Dawson, Deborah V., Problems of ascer­ Fitzsimmons, Patrick Joseph, Charac- tion of singularities for semilinear mized tainment in pedigree analysis. hwerbolic systems in two variables. terization and covergence of Markov sets. Hardison, Charles David, Jr., Small­ Tso Chak Yuen, The use • of nearest Lewis, John, Function spaces and localiza­ sample properties of a family on non­ tion. neighbors in the detection of spatial parametric partial correlation measures. correlation. Markovsky, Alexander, Substa~tiation Janis, Joesph M., A descriptive ~nd of Schwarz's method for some ill-posed North Carolina State University, statistical methodology for age-penod­ problems of mathematical physics. Raleigh cohort analysis with application to lung Rao, Vidhyonath Kajana, Contributions (16;0,10,1,2,1,0,2) cancer. to the theory of nilpotent groups and MATHEMATICS Kissling, Grace Elizabeth, A generalized spaces. model for analysis of non-independant Hughes, George Critten~en, C?n_ve;ge~ce observations. OPERATIONS RESEARCH rate analysis for iterative mmzmzzation Koury, Kenneth J., Parametric competing Gajjala, Radhakrishna Murty, A critique schemes with quadratic subproblems. risks models in clinical trials. of linear and non-linear regression prob­ OPERATIONS RESEARCH Lewis Alcinda W., The Burr distribu­ lems with four different minimization criteria. Hanson, Kathryn Wagoner, Integration tion 'as a general parametric family in of data, voice and image traffic on a survivorship and reliability theory applica­ Lee, Woo-Young, R&D system pla~ning wide-band local network. tions. and technology transfer methods zn an industrialized developing country. Jo, Kyung Yoon, Optimal s~rvi~e-rate Lewis, Donald K., Matching in epidemi­ control of queueing systems zn dzscrete ologic studies: Validity and efficiency. Mohanty, Bidhu Bhusan, A r~gionalize~ and continuous time. Muhlbaier, Lawrence Henry, Enhance­ goal-oriented model for dynamzc analyszs of world trade. Walther Eleanor Ann, Control of arrivals ment of precision of estimates of to a GI/M/1/LIFO queueing system: prevalence by multiple observation of Ritchken, Peter Harris, Portfolio selec­ Individual and social optimization. individuals. tion techniques.

648 Kent State University OREGON Wilson, John, Search for randomly moving (1;1,0,0,0,0,0,0) targets. MATHEMATICAL SCIENCES Oregon State University (4;0,3,0,1,0,0,0) Lehigh University Stehle, Stephen Paul, On the hereditary (2;1,0,0,0,0,1,0) Dunford-Pettis property. STATISTICS COMPUTER AND INFORMATION Chou, Chung Kuang, Optimal inspection Ohio State SCIENCES University policies for a partially observable process (13;8,3,0,0,0,0,2) with hazardous inspections. Knerr, Charles Calvin, The enhancement of traditional instruction MATHEMATICS Poulsen, Neil Kenneth, Large sample and learning in analytic geometry via computer support. Benha~, James William, Graphs, repre­ efficiencies of invariant quadratic un­ sentatwns, and spinor genera. biased estimators. MATHEMATICS Brickell, Ernest Francis, The incidence Shih, John 1., Nonparametrc estimation Tanzini, Joseph Peter, Some preCISion structure of d- and (d + 1)-ftats in the of univariate and mixing densities-A asymptotics of numerical integration. direct product of projective and affine Bayesian least squares approach. spaces. · Thompson, Steven Kirk, Adaptive sam- Pennsylvania State University Cheng, Fuhua, Estimates for the rate of pling of spatial point processes. (12;6,2,4,0,0,0,0) approximation of functions of bounded University of Oregon COMPUTER SCIENCE variation by positive linear operators. (4;3,1,0,0,0,0,0) DeLaurentis, John Morse, Limiting be­ Ashok, Venkataraman, The complexity of finding disjoint havior of certain combinatorial stochastic MATHEMATICS matchings in graphs subject to various optimizing functions. processes. Abrams, Gene David, Rings with local Bassiouni, Mostafa A., Program 1 units. I/O Flinn, Patrick, M-ideals in (B p) and modeling and its applications. finite dimensional Banach spaces con­ Deckhart, Robert William, Classical Lie Jamp, Rueiming, A program behavior taining only small!; 's. algebras over Z. model and its performance evaluation. Serven, Robert Jon, Torsion theories and Kirschenbaum, Marc, The degree of C 0- homology. Spooner, David Leon, A unified security sufficiency of Weierstrass jets via the tree model for data base and operating Vasek, William, Asymptotic power of model. systems. Moon, Aeryung, Some results in designs likelihood ratio tests of linear hypothesis and association schemes. 1n exponential families. MATHEMATICS Oprea, John, Some results on approxima­ Halpin, Patrick Ronald, Polynomial tion theory. PENNSYLVANIA identities and weak identities of matrices. Shan, Chin-Chi, Some results in ap­ Manes, David Edward, Embeddings of proximation theory. Carnegie-Mellon University groups in two-generator groups using (15;0,4,11,0,0,0,0) Young, Elmer Lorne, On topology wreath products. generated by a function from a set to COMPUTER SCIENCE Nousiainen, Pekka Sakari, On the itself. Jacobian problem. Feiler, Peter H., A language-oriented in­ STATISTICS teractive programming environment based Pappas, Peter Chris, The model theoretic on compilation technology. structure of group rings. Edwards, Donald George, Multiple com­ Spearman, Blair, On the four part of the parisons with the best treatment. Gupta, Satish, Architectures and algo­ class group of quadratic forms. Rust, Steven Wayne, Robust rithms for parallel updates of raster scan non­ Tubbs, Robert Earl, An elliptic analogue parametric procedures for the several displays. to the Gelfond-Feldman measure of sample location problem. Hilfinger, Paul, Abstraction mechanisms and language design. algebraic independence. Teoh, Kok Wah (Nick), Contributions to the asymptotic theory of estimation Lai, Kwok-Woon, Functional testing of STATISTICS digital systems. and hypothesis testing when the model is Byrne, Philip J., Repeated measures Leiserson, Charles E., Area-efficientVLSI incorrect. models for time dependent data. computation. Peterson, John Joseph, On some prob­ Ohio University McDonald, David, Understanding noun lems . in survival data analysis (1;1,0,0,0,0,0,0) compounds. with covanates. MATHEMATICS Medina-Mora, Raul, Syntax-directed edit­ ing: Towards integrated programming en­ Swardson, Mary Anne, Generalizations Temple University vironments. ofF-spaces and some topological charac­ (1;0,1,0,0,0,0,0) Ramakrishna, Kamesh, Schematization terizations of the generalized continuum MATHEMATICS hypothesis. as an aid to organizing Zog information nets. Gillespie, John, Nonparametric and nor- University of Cincinnati Robinson, John, Design of concurrency mal specialized tolerance. (1;0,0,0,0,1,0,0) controls for transaction processing sys­ tems. University of Pennsylvania MATHEMATICS (8;2,3,0,1,2,0,0) Schwanke, Robert W., Execution en­ Liu, Jong-Chi, Normal forms and stability vironments in programming languages MATHEMATICS via Lie transforms. and operating systems. Beissinger, Janet Simpson, Factorization Song, Siang, On a high-performance VLSI OKLAHOMA and enumeration of labeled combinatorial solution to database problems. objects. University of Oklahoma STATISTICS Brosius, J. Eric, Classification and moduli (2;2,0,0,0,0,0,0) Chaloner, Kathryn Mary, Optimal for rank two vector bundles on a ruled surface. MATHEMATICS Bayesian experimental design for linear models. Simion, Rodica, On compositions of Dahlberg, Randall P., Structure of injec­ Cnaan, Avital, Survival models with multisets. tive hulls of Lie modules. multiple phases. Wassermann, Antony J., Automorphic Rowe, David E., Study of Borsuk's Trader, David Alan, Infinitely divisible actions of compact groups on operator hyperspace. random sets. algebras.

649 OPERATIONS RESEARCH Wong, Douglas, On the unification of TENNESSEE Easingwood, Christopher, A nonuniform language comprehension with problem diffusion model of new product accep­ solving. Vanderbilt University tance. MATHEMATICS (1;0,0,1,0,0,0,0) COMPUTER SCIENCE STATISTICS Chase-Klapper, Andrew Manoch, Canonical subgroups of formal groups Ray, Wayne Allen, Concurrency control Cooil, Bruce K., Nonlinear extrapolation of arbitrary dimension. of extreme quantiles. architecture in distributed database sys­ Diaz, Steven Paul, E1:ceptional Weier­ tems. Steckel, Joel, A game theoretic and strass points and the divisor on moduli experimental approach to the group space that they define. TEXAS choice phenomena in organizational bind behavior. Haskell, Peter Evarts, Intn"nsically defined cycles in the K homology of North Texas State University Szabat, Kathryn Ann, E1: post del. singular curves. (3;1,0,0,0,2,0,0) University of Pittsburgh Horowitz, Tony G., Varieties of low MATHEMATICS relative degree. (7;3,.3,0,0,1,0,0) Beasley, Craig Jackson, Finite element Liao, Yu-Chung, Optimal control of a BIOSTATISTICS Brownian motion and its approrimation solutions to nonlinear partial differential equations. Burgut, Huseyin Rifik, Biased estimation to queuing process. Ingram, John Michael, Geometric pr_ob­ procedures: Application to epidemiological McGuinness, Frances Oisin, The Cassels data. pairing in a family of elliptic curves. lems in measure theory and parametriza­ tions. Liu, Hannen Hinnung, Prognostic in­ Richters, Stephen, l{P spaces in tubes dicators in primary breast cancer sur­ Liaw, Mou-Yung Morris, The steepest and the representation of tempered dis­ descent method using finite elements for vival analysis using a proportional hazard tributions by holomorphic functions. model. systems of nonlinear partial differential Tabak, Barbara, Harmonic maps and equations. Tekyi-Mensah, Samuel Edward, An foliations. ai:laptation of the proportional hazards Southern Methodist University model with a time dependent exposure University of Rhode Island (7;1,3,3,0,0,0,0) inde1: to a retrospective cohort study: An (2;1,1,0,0,0,0,0) epidemiological application. COMPUTER SCIENCE AND COMPUTER SCIENCE AND ENGINEERING EXPERIMENTAL STATISTICS MATHEMATICS AND STATISTICS Chavarria Garza, Hector, A user profile­ Guiver, John P., Contributions to two Carey, Michele Boulanger, Analytical query model for document retrieval. dimensional systems theory. study of generalized ridge regression. Im Seung Bae, Hierarchical design Nelson Robert Raymond, On two classes MATHEMATICS a~d implementation of communcation of Ba~ach spaces which consist of equiv­ Murthy, Narayan, The simple and the protocols. alence classes of functions, the spaces dominated integral in two dimensions. Romberg, Frederick Arnold, Logical of finite upper p-variation Marcinkiewicz design of comple1: databases such as a spaces. SOUTH CAROLINA manufacflu.ring operations database. Srinivasan, S., Finite p'-nilpotent groups. OPERATIONS RESEARCH Zahid, Muhammad Ishaq, Para-H-closed Clemson University Lal, Ram, A unified study of algorithms spaces, locally para-H-closed spaces and (2;1,0,0,0,0,0,1) for steady state probabilities in Markov their min~mal topologies. MATHEMATICAL SCIENCES chains. RHODE ISLAND Benz, Stephen Lewis, Parameter estima­ STATISTICS tion in a reproducing Hilbert space for Dorsett, Dovalee, Resistant M-estimators Brown University linear hereditary systems. in the presence of influential points. (17;9,0,2,0,5,0,1) McClanahan, Gregory Alan, Directed Hahn, Suk-ki, A Bayesian approach usin_g block designs. APPLIED MATHEMATICS a two-stage prior, to the symmetric Medical University of South Carolina multiple comparison problem. Crowley, James Michael, Numerical (2;0,1,1,0,0,0,0) Henderson, Robert Kent, Robust and methods of parameter identification for resistant estimation of regression coef­ problems arising in elasticity. BIOMETRY ficients. Davis, Barry Robert, A neurobiological Lacy Mark Edward, Analysis and approach to machine intelligence. modeling of the recombinaton of rhodop­ Texas A & M University Hrusa, William John, A nonlinear func­ sin. (4;0,4,0,0,0,0,0) tional differential equation in Banach Lipscomb, Aquilo Rudolph, Renal trans­ STATISTICS space with applications to materials with plantation: Analysis of patient and kidney fading memory. Dunn, Mark Raymond, Regression diag­ graft survival. nostics. Magalhaes, Luis T., Singular pertur­ bations of linear retarded functional University of South Carolina Monroe, Howard Marshall, II, Confidence differential equations. (4;0,2,0,0,0,0,2) limits for the global optimum. Riggs, Mark W., Canonical correlation Pennell, Stephen Anthony, Solitary MATHEMATICS AND STATISTICS waves of large amplitude. and discrimination with missing observa­ Calhoun, Carol Ann, Stochastic conver­ tions. Rockey, Steven Anthony, Discrete gence of randomly weighted sums. methods of state appro1:imation, param­ Sahinoglu, Mehmet, Statistical ~nference Hopkins, Laurie Boyle, Some problems on the reliablilty performance ~nde1: for eter identification and optimal control for involving combinatorial structures deter­ electric power generation systems. hereditary systems. mined by intersections of intervals and COMPUTER SCIENCE arcs. Texas Tech University (2;0,1,0,0,1,0,0) Bulterman, Dick C. A., Animated Lo, Sheng-Ping, Graph labeling and abstractions for target architecture inde­ optimization problems. MATHEMATICS pendent system descriptions. McNichols, Diane, Nonparametric density Neil, Charles Hugh, A singular differential Flanagan, Peter, A discrete model of and failure rate estimation based on system aristng from a two-channel model semantic learning. abitrarily right-censored data. of fluid flow.

650 Pavur, Robert J., Unbiased F-tests for UTAH DeVault, Arthur Reeves, Orthogonal factorial experiments with co-related data. polynomial methods of contingency table University of Utah analysis. University of Houston (3;3,0,0,0,0,0,0) Genter, Frederick, A generalized regres­ (6;5,0,0,0,1,0,0) sion model for ordinal response variables. MATHEMATICS MATHEMATICS Self, Steven, Cox proportional hazards Hoste, Jim Edward, Sewn-up r-link model with time dependant covariates: Becerra, Linda, Multiplicative lattices and exteriors. the integral closure operaton. Asymptotic distribution of B and related Martin, Jorge M., On inverse limits of topics. Monotone Collins, Welburn Dwayne, bundle maps. upper semi-continuous decompositions of Sim, Dalice, A sequential score test. Sikorski, Krzysztof, Optimal solution of IU c continua. Smith, Eric Peter, The statistical nonlinear equations. Davis, James Francis, Zero span continua. properties of biological indices of water quality. Marsh, Dorothy Davis Sherling, Con­ VffiGINIA Vollmer, William M., Risk factor detec­ cerning the Gone = Hyperspace property. tion using case-only data. Marsh, Marcus Marlene, Fixed point University of VIrginia for theorems for certain tree-like continua. Walsh, David Alastair, Some methods (7;4,0,2,0,1,0,0) the analysis of biomedical time series. Nguyen, Tung Manh, Circulant matrices, intersection projection, proximity maps APPLIED MATHEMATICS COMPUTER SCIENCE and linear programming. AND COMPUTER SCIENCE Borgwardt, Peter Arthur, Cache struc­ Koh, Kern, Design and performance of University of Texas, Arlington tures based on the execution stack for future virtual memory systems using fast high level languages. (3;1,0,0,0,0,0,2) secondary storage. Du, Hung-Chang David, Some design and MATHEMATICS Popyack, Jeffrey Lee, Approximating analysis problems for parallel processing. multi­ Aftabizadeh, Abdol-Reza, Contribution Markov decision processes with Garner, Richard Lynn, Analysis of Markov decision. to the study of asymptotic behavior of module queueing networks using decomposition. solutions of ordinary differential equa­ Song, Woon-Ho, Equivalence transforma­ Huddleston, Charles Scott, Robust tions. tion for queueing network topologies. balancing in B-trees. Ray, Michael Broe, Monotone iterative MATHEMATICS Mallgren, William Roberts, Formal techniques for the numerical solution of Goggins, Robert Allen, Bordism of almost specification of interactive graphics pro­ nonlinear Neumann problems. tangent structures. gramming languages. Samimi, Mansour, Uniqueness and Shell, Nancy Lee, Factorization and Rao, Ram, A kernel for distributed and nonuniqueness criteria for ordinary shared memory communication. invariant subspaces in some H 2 (1.1.) differential equations. spaces. MATHEMATICS University of Texas, Austin Wadsworth, Catherine Gorini, Multi­ Keeler, Stephen Philip, The existence of (13;3,0, 7,2,1,0,0) plicative constructions in equivariant bor­ Gibbs' phenomenon for new classes of dism. COMPUTER SCIENCES Fourier series. Wood, Thomas Edward, Sequences of Law, Kouok-Kouong, Gompactifications Edmiston, Richard Dale, The puff associated random variables. of complex affine surfaces. recognition system. Virginia Commonwealth University Molelekoa, Moshe, Space-time symmetries Haas, Laura Myers, Two approaches to of Yang-Mills fields. (1;0,1,0,0,0,0,0) deadlock in distributed systems. Ndakbo, Victor, Singular convolution Huang, Shou-Hsuan Stephen, Height BIOSTATISTICS operators of Hilbert type on a class of balanced trees of order ({3, "(, li). Enas, Gregory George, Optimality con­ totally disconnected Abelian groups. Mansoury, Abdulhamid Mohammed, siderations in nearest neighbor clas­ Zorn, Paul Manthey, Analytic functionals Page-cut integer programming methods sification. and Bergman spaces. for the solution of integer programming problems. Virginia Polytechnic Institute Washington State University Slocum, Jonathan, A practical com­ and State University (5;2,0,0,0,3,0,0) parison of parsing strategies for machine (4;1,1,0,0,2,0,0) MATHEMATICS translation and other natural language MATHEMATICS processing purposes. Bradley, Edward, A study of reaction­ diffusion models for biological processes. Smith, Howard Reed, A grammatical AmilloGil, Jose, Nonlinear neutral func­ inference system based on case grammar tional differential equations in product Burke, John Richard, Addition theorems and semo-syntactic features. spaces. and notions of density in GF[p, x]. Tyson, William Mabry, APRVR: A Miklavcic, Milan, Stability of measurable Evans, Anthony Brian, Distance in finite priority-ordered agenda theorem prover. flows over an infinite fiat plate. geometries. Polewczak, J acek, Existence theorems for Ferm, Eric Nicander, A linear stability MATHEMATICS semilinear evolution equations in weak analysis of the buoyancy and surface­ Duffuaa, Salih Osman, On some topologies. tension driven Benard problem. economic distribution and network prob­ Smith, James Leslie, Exploitative inter­ STATISTICS lems. actions involving age structure. Gutierrez, Jose Adalid, On the bounded­ Lee, Luen-Fure, Empirical Bayes esti­ ness of the Banach space-valued Hilbert mators for the cross-product ratios of WISCONSIN transform. 2 X 2 contingency tables. Chang, Jea Kang, Generalized conjugate University of Wisconsin, Madison gradient acceleration of iterative methods. WASHINGTON (26;11,7, 7,0,1,0,0) Matovsky, John-Anton C., Decomposi­ COMPUTER SCIENCES tion of symmetric two-tensors over a com­ University of Washington (19;5,8,6,0,0,0,0) Cheng, Yun-Chian, Iterative methods for pact Riemannian manifold with boundary. solving linear complementarity and linear Nelson, Abraham, Goal arc methods in BIOMATHEMATICS programming problems. EE(} planning and control. Barr, Vivian Athelia, Approximations Friedland, Dina, Design, implementation, Vose, Michael David, Limit theorems for of permutation distributions based upon and analysis of parallel external sorting sequences of divisor distributions. moments. algorithms.

651 Kao, Cheng-Yan, Secant appro:cimation WYOMING Universite de Montreal methods for convex optimization. (3;2,1,0,0,0,0,0) Density and University of Wyoming Leland, Will Edward, ET STATISTIQUE reliability of interconnection topologies (4;0,4,0,0,0,0,0) MATHEMATIQUES for multicomputers. Belinsky, Morton, Quelques problemes STATISTICS d'estimation pour les distributions multi­ Ramanath, Munagala V.S., Optimal Butler, Susan Ann, Some aspects of line code-generation for control structures. dimensionnelles. intercept sampling. El Hallabia, Khalifa, Continuiti des structured ap­ Schmitt, Lorenz A., A Foy, John Drewery, m, Admissibility operateurs polynomiaux dans les espaces proach to computer image understanding; and preferability for certain randomized vectoriels topologiques. use and representation of real-world the response estimators. Resolution numerique knowledge in an artificial llision system. Savoie, Jean, Hagan, Randy Lee, Application of spectral d'un systeme d'lquations non lineaires Wilkinson, William Kevin, Database theory and analysis in mining geostatistics determine par un systeme de Tchebycheff. concurrency control and recovery in local and statistical linear wave theory. broadcast networks. Novotny, Timothy Joseph, Model selec­ University of Alberta tion using significance levels. (1;0,0,0,0, 1,0,0) MATHEMATICS MATHEMATICS CANADA Gowda, Muddappa Seetharama, Two Rai, Bindhyachal, O.D.E. models of problems in the function theory of the Carleton University a mutualist interacting in ecological unit ball of en. systems. Guichard, David R., Automorphisms and (5;3,0,0,1,1,0,0) large submodels in effective algebra. MATHEMATICS AND STATISTICS University of British Columbia (3;2,0,1,0,0,0,0) Ho, Lop-Fat, Controllability and spectral Assem, Ibrahim, Iterated tilted algebras. assignability of a class of hyperbolic Min, Kyung-Chan, Categorical aspects of COMPUTER SCIENCE systems with retarded control control ordered vector structures. Sinha, Prem Swarup, Load control in canonical forms. Rooby-Laleh, Ebrahim, Improvements to interactive computing systems. King, James Holliday, Strong ratio the theoretical efficiency of the network theorems for Markov and semi-Markov simplex method. MATHEMATICS chains. Shiao, Long-Shung, Baer ordered *-rings. Renner, Lex Ellery, Algebraic monoids. Manasse, Mark Steven, Techniques and Tan, Jimmy Jiann-Mean, Matroid 3- Zeidan, Vera, Sufficient conditions for op- counterexamples in almost categorical connectivity. timal control and the generalized problem recursive model theory. of Bolza. MeGill University Morris, Walter Garfield, II, Constant University of Calgary for finite and affine root (1;1,0,0,0,0,0,0) term identities (1;0,1,0,0,0,0,0) systems: conjectures and theorems. MATHEMATICS AND STATISTICS Parks, Alan E., Generalized permutation Jesuraj, Ramasamy, Continuous func­ MATHEMATICS characters of solvable groups. tions and exceptional sets in potential Wiens, Douglas Paul, Robust estimation Ramey, Wade C., Boundary behavior theory. of multivariate location and scale in the of bounded holomorphic functions along presence of asymmetry. ma:cimally complex submanifolds. McMaster University (2;1,0,0,0,0,0,1) University of Manitoba Rosenthal, David A., The classification (2;0,2,0,0,0,0,0) of the order indiscernibles of real closed MATHEMATICAL SCIENCES fields and other theories. Carr, Donna Marie, Ineffability properties STATISTICS Tangredi, Michael P., Properties and ofP~<"A· Howlader, Hatem, On the study of the applications of resolvents of some Volterra Hahn, Gena, Directed hypergraphs: The posteriors of parameters of some well­ operators. group of their composition. known distributions under proper and improper priors. Watkins, Joseph Clyde, m, A central Memorial University of limit problem in random evolutions. Mugisha, Rujagaata Xavier, Some _ap­ Newfoundland of estimates of a probabd1ty Edward, The interaction be­ plications Wimmers, (1;1,0,0,0,0,0,0) and its derivatives in tween quantifiers and admissible sets. density function MATHEMATICS AND STATISTICS nonparametric inference. STATISTICS Bencivenga, Roberto, On the groves of University of Toronto Chang, Der-Shin, Estimation with automorphisms of principal and fibre (11;3,2,5,1,0,0,0) bundles. auziliary information in survey sampling: COMPUTER SCIENCE Some large sample results. Queen's University Christodoulakis, Stavros, Selectivities in Esan, Ebenezer, Regression with corre­ (2;2,0,0,0,0,0,0) data bases. lated errors. MATHEMATICS AND STATISTICS Graham, Marc Henry, Satisfying database Fries, Arthur, Analysis of factorial experi­ states. ments and accelerated life tests under an Leung, Tat-Wing, Quotient algebras of certain quiver algebras. Lengauer, Christian, A methodology for inverse Gaussian model. with concurrency. ashier, Budh S., Efficient generation of programming Issos, Janes N., Risk of Stein type N ideals in polynomial rings. Levesque, Hector J., A formal treatment estimators and applications to forestry of incomplete knowledge bases. inventory. Simon Fraser University Magalhaes, Geovane C., Improving the McKnight, Barbara, Testing for differ­ (2;0,0,0,0,1,0,1) performance of data base systems. ences in tumor incidence. MATHEMATICS INDUSTRIAL ENGINEERING Soares, Jose Francisco, Some restricted with applications to Gegenberg, Jack David, On the station­ Sim, Soon Hock, On multi-vehicle trans­ randomization rules equa­ the design of clinical trials. ary Einstein-Maxwell-Klein-Gordon portation systems with queue-dependent tions. dispatching policies. asymptotic Verrill, Steve Patrick, Some Nicklason, Gary Robert, F'urther results results concerning Shapiro- Wilk tests of relating to the weakly non-linear wave MATHEMATICS fit. equation of van der Pol type. Steprans, Juris, Some results in set theory.

652 Watson, W. Stephen, Applications of set Devitt, John Stanley, The algebraic University of Western Ontario theory to general topology. manipulation of certain enumerative con- {3;0,3,0,0,0,0,0) Weiss, Asia, Polytopes, honeycombs, stru.ctions. groups and graphs. Fuji-Hara, Ryoh, Doubly resolvable STATISTICAL AND ACTUARIAL SCIENCES STATISTICS designs from finite geometries. Robinson, John Michael, Scotch pebbles. Balasooriya, Uditha, Data analysis and Brant, Rollin, Some statistical methods robu.st statistical inference. based on transforms. Steiner, George, Machine scheduling with precedence constraints. Duong, Quang Phuc, Shrinkage, order Minkin, Salomon, Asses"ng the quad­ selection, threshold. ratic appro:limation to the log-likelihood COMPUTER SCIENCE Li, Wai Keung, Topics in time series function in nonnormallinear models. Cunha, Paulo R.F., Design and analysis modelling. of message oriented programs. University of Waterloo University of Windsor {11;1,1,2,1,1,0,5) Ziviani, Nivio, The fringe analysis of search trees. {3;0,2,0,0,1,0,0) APPLIED MATHEMATICS PURE MATHEMATICS MATHEMATICS Mesluk, Raymond Edward, The modeling Abd-El-Malek, Mina Badie, Boundary of ionic flows in excitable cells. Tay, Tiong-Seng, Rigidity problems in bar and joint frameworks and linkages of integral methods and free surface prob­ COMBINATORICS AND rigid bodies. lems. OPTIMIZATION Lee, Hyunshik, Robu.st procedures for STATISTICS Akgul, Mustafa, Topics in relaxation and multi-sample location problems. ellipsoidal methods. Teo, Kar Seng, Topics in the analysis of Samaan, Jacob Eshak, Some problems Cameron, Kathleen Barbara, Polyhedral categorical data. of statistical estimation in the theory of and algorithmic ramifications of anti­ queues. chains.

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, HELSINKI 1978* edited by Olli Lehto

The Proceedings of the International Congress of A. N. Shiryaev, Absolute continuity and singularity Mathematicians held in Helsinki, August 15-23, 1978, of probability measures in functional spaces are in two volumes. Volume 1 contains an account of A. Weil, History of mathematics: why and how the Congress, the list of members, presentations of S.-T. Yau, The role of partial differential equations the works of the Fields medallists, the plenary one­ in differential geometry. hour addresses, and the invited addresses in sections In addition there were 120 invited forty-five­ 1-5. Volume 2 conta(ns the invited addresses in sec­ minute addresses divided into nineteen sections. The tions 6-19. A complete index is included in both sections follow: volumes. 1. Mathematical logic and foundations of mathematics On the decision of the Fields Medals Committee, 2. Algebra the works of the Fields medallists were presented as 3. Number theory follows: 4. Geometry N. M. Katz: The work of Pierre Deligne 5. Topology L. Carleson: The work of Charles Fefferman 6. Algebraic geometry 7. Lie groups, algebraic groups, automorphic J. Tits: The work of Gregori Aleksandro~•itch Margulis functions I. M. James: The work of Daniel Quillen 8. Real and functional analysis The invited one-hour plenary addresses included 9. Complex analysis follow: 1 0. Operator algebras and group representations L. V. Ahlfors, Quasiconformal mappings, Teichmiil/er 11. Probability and mathematical statistics spaces, ond Kleinian groups 12. Partial differential equations 13. Ordinary A. P. Calderon, Commutators, singular integrals on differential equations and dynamical Lipschitz curves and applications systems A. Connes, von Neumann algebras 14. Control theory and optimization problems 15. Mathematical R. D. Edwards, The topology of manifolds and cell­ physics and mechanics like maps 16. Numerical analysis 17. Discrete D. Goren stein, The classification of finite simple mathematics and mathematical aspects groups of computer science M. Kashiwara, Micro-local analysis 18. Mathematics in the social and biological sciences N. N. Krasovskii, Control under incomplete informa­ 19. History and Education. tion and differential games Part I, 506 pages; Part II, 516 pages (hard cover) Price $70.00 for 2 volumes. R. P. Langlands, L-functions and automorphic ISBN 951·41-0352·1 representations Publication date: March 1980 Ju. I. Manin, Modular forms and number theory To order, please specify PICM/78 N S. P. Novi kov, Linear operators and integrable Hamiltonian systems R. Penrose, The complex geometry of the natural *These proceedings were published for the 1978 Interna­ tional world Congress of Mathematicians with the cooperation of Academia Scientiarum Fennica and are being distributed by W. Schmid, Representations of semisimple Lie groups the AMS.

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

653 National Science Foundation News 8 Reports Mathematical Sciences Section Let me apologize in advance for what I by the time this reaches you. Recall that the Federal anticipate will be a long, detailed report. As fiscal year begins October first. I look over the list of subjects I want to talk Proposals. Let me remind you that the Foundation about, it seems to go on and on. I hope that each accepts proposals at any time and routinely asks for item holds some interest for you. six to nine months to process a proposal and announce Staff. Let me first give you the staff line-up for a decision. Further, in order to distribute our work this year. load over the year, you may find that we have shifted Classical Analysis John V. Ryff start dates in a few instances. Modern Analysis Harvey B. Keynes In order to allow the program directors greater ad­ Geometric Analysis Zbigniew H. Nitecki ministrative flexibility, we would appreciate receiving Topology & Foundations Ralph M. Krause requests for three years of support, when such a Algebra & Number Theory Judith S. Sunley Applied Mathematics Victor Barcilon period is scientifically appropriate to the proposed George Cybenko research activity. Statistics & Probability Prem K. Goel In proposals asking for renewal of support, Special Projects Alvin I. Thaler please describe what you proposed and what you Head William G. Rosen accomplished on your current award. We feel that Krause, Sunley, Thaler, and I are old regulars. such information would be useful to reviewers and to Ryff has recently been converted from rotator program directors. to regular. Keynes (University of Minnesota), In the case of conference proposals, a twelve-month Nitecki (Tufts University), Barcilon (University of lead time is suggested, in order to give conference Chicago), Cybenko (Tufts University), and Goel directors sufficient time for planning. (Purdue University) are rotators on leave from their Reviews. I remind you of the Foundation practice universities. Nitecki's and Cybenko's positions are of sending verbatim copies of reviews to principal additions to the Section this year. investigators when action on a proposal is completed, to type At this point I would like to thank publicly the and of the Section's inability to continue reviews. Please type your reviews if you following rotators who left the Section this summer handwritten feel that your handwriting is revealingly distinctive. to return to their universities. Their good work was We shall, of course, continue to delete third-party invaluable to the activities of the Section and we are references, so that the useful practice of making in their debt. comparisons may be continued by reviewers. James M. Greenberg Ohio State University Neal J. Rothman Indiana University-Purdue I ask again that you consider the need of program University, Indianapolis directors for all the information they can get when Farroll T. Wright University of Missouri, they are making decisions. The more you can say in Rolla your reviews about the investigators, their problems, Advisory Subcommittee. New members, whose and their proposed attacks on those problems, the terms will end in the spring of 1985, are: more solidly based our decisions may be. We Hirsh Cohen IBM depend upon substantive reviews, with constructive Ramesh Gangolli University of Washington comments. George Seligman Yale University Students. The Mathematical Sciences Paul Switzer Stanford University Graduate Section is part of a research directorate at the whose terms end m the They join the following Foundation and we support research or activities in Spring of the year indicated: support of research. Therefore, those few graduate William Browder Princeton University (1984) students we support should be engaged in a research Donald L. Burkholder University of lllinois (1984) James G. Glimm Rockefeller University (1983) activity, which means that they should be in their Phillip A. Griffiths Harvard University (1984) thesis-writing stage. Daniel J. Kleitman Massachusetts Institute Summary of Awards. We would like to publish of Technology (1984) an annual summary of awards and we will do this Jerrold E. Marsden University of California, Berkeley (1983) by straight copying of the summary of award in Hugh L. Montgomery University of Michigan (1983) each proposal. It is therefore essential that you Martha K. Smith University of Texas, prepare your summary so it may be used in this way. Austin (1983) This means no symbols not on ordinary typewriters; Budget. At this time there is no news to report on positioning the proposed area of research in the budgets. The FY 1982 budget has all been allocated; geography of mathematics; language understandable our FY 1983 budget request has been before the to an educated, non-mathematical scientist; no Congress since February; and we shall have started personal pronouns, no references to "proposer" or "it work on the FY 1984 budget request to the Congress is proposed," and so forth.

654 Public Relations. It would be useful to the on obtaining access to the vendors may be obtained support of the mathematical sciences if we in the by calling the 800-numbers listed above. The Section were to receive an early notification of Society has published MATHFILE User's Guide, important results. Several NSF press releases each which gives background information on MATHFILE, year announcing some important discovery in the descriptions of the computer files, instructions and mathematical sciences is a goal we should strive for. advice on devising efficient searches; see the April We in the Section stand ready to help this process in 1982 issue of the Notices, page 300. any way. In addition, the Society now offers workshops both Deadlines. Please recall the following deadlines for librarians and mathematicians on the use of this for several special projects. "online" service. Mathematical Sciences Postdoctoral Research The workshops listed below are designed primarily Fellowship Program, December 10, 1982. for librarians, but additional sessions may be arranged Regional Conferences, November 15, 1982. for mathematicians as well. Anyone interested in Scientific Computing Research Equipment, participating in such a session may call Taissa Kusma December 1, 1982. at the Society's Providence office (401-272-9500). This completes my list for the summer of 1982. I Workshop/demonstrations have been scheduled at will probably send out another letter when there is the following locations: some news to announce on the FY 1983 or FY 1984 Philadelphia: November 10 (9:00 a.m. to budgets. 3:00 p.m.), Van Pelt Library, University of William G. Rosen, Head Pennsylvania. Mathematical Sciences Section Newark, Delaware: November 11 (1:00 p.m. to 5:00 p.m.), Morris Library, University of Delaware. New York: November 16 (1:00 p.m. to 5:00p.m.) News and November 17 (9:00 a.m. to noon), Butler Library, School of Library Service, C'olumbia University. Boston area: December 1 (9:30a.m. to 5:00p.m.), Nachbin Awarded 1982 Houssay Prize DIALOG Information Services, 5 Cambridge Center, 8th Floor, Cambridge. Leopoldo Nachbin, George Eastman Professor of In addition to these workshop/demonstrations, there Mathematics at the University of Rochester, has will be a MATHFILE exhibit at the SIAM-IEEE been awarded the Houssay Science Prize by the Meeting in Boston at the Park Plaza Hotel, November Organization of American States. The award is 2 to 4, and at the Joint Mathematics Meetings in made annually in one of four fields (biological Denver in January 1983. sciences, exact sciences, agricultural sciences, and technical research) and has a value of $30,000 in U.S. currency. The award was presented in October at a special ceremony in Montevideo. In the announcement of the selection of Professor Nachbin, which was made by OAS last July in Washington, he was cited for his research contributions in Colloquium Lecture Notes harmonic analysis, functional analysis, topology, topological vector spaces, approximation theory, A set of four Colloquium Lectures was presented and infinite dimensional holomorphy, and for his by Morris W. Hirsch of the University of California, teaching, editorial activities, international ties, and Berkeley, at the summer meeting of the Society in his contributions to the creation, support and Toronto, Canada in August 1982. Copies of the strengthening of scientific institutions in the American lecture notes, entitled Convergence in ordinary continent. In the ten years since its creation in 1972, and partial differential equations (20 pages) are this is the first award of the Houssay Prize to a still available. mathematician. Requests should be accompanied by a check or money order for $3.20 per copy to cover the costs of handling, and mailed to the Society at P. 0. Box MATHFILE 1571, Annex Station, Providence, Rhode Island 02901. The notes, which were distributed to those MATHFILE, The Society's new computerized who attended the Colloquium Lectures in Toronto, information retrieval service based on Mathematical do not constitute a formal publication. Please note Reviews is now available from two commercial that informally distributed manuscripts and articles vendors, Bibliographic Retrieval Services (BRS) (800- should be treated as personal communications and 833-4707) and DIALOG Information Services (800- are not for library use. Reference to the contents of 227-1960). See the report in the August 1981 issue such an informal publication should have the prior of the Notices, pages 449 to 451, for a description of approval of the author. MATHFILE and how it may be used. Information

655 Reciprocity Agreements

The listings below supplement the reports pub­ Popularny Miesiettznik Matematyczno-Fizyczno­ lished in the Notices, June 1982 (pages 335 to 339) Astronomiczny "Delta" (Popular Mathematical­ and August 1982 (page 472). A disc (•) before Physical-Astronomical Monthly "Delta") in Polish. the name of an organization indicates that member­ Officers: Zbigniew Ciesielski (President), Andrzej ship application forms for that organization may Lasota, Andrzej Schinzel (Vice Presidents), Jerzy be obtained by writing the American Mathematical Zabczyk (Secretary), Kazimierz Cegielka (Vice Society, P.O. Box 6248, Providence, Rhode Island Secretary), Msgr. Andrzej M~kowski (Treasurer). 02940. • Societe Mathematique de France Asia Address for mail: Societe Mathematique de France, • Vijnana Parishad of India B.P. 126-05, 75226 Paris, Cedex 05. Apply to: H. M. Srivastava, Foreign Secretary, VPI, Apply to: American Mathematical Society, P.O. Box Department of Mathematics, University of Victoria, 6248, Providence, Rhode Island 02940. Victoria, British Columbia, Canada, v8w 2Y2 or Dues: $17 or $25; payable to American Mathematical R. C. Singh Chandel, Secretary, VPI, Department Society. of Mathematics, D. V. Postgraduate College, Orai- Privileges: Individuals who pay dues of $17 are en­ 285001, U. P., India. titled to receive Circulaire and Gazette. Individuals Dues: US $7.50 (annual), US $75 (life); payable to who pay dues of $25 are entitled to Circulaire, Vijnana Parishad, c/o Department of Mathematics, Gazette, and Bulletin. Four issues per year of D. V. Postgraduate College, Orai-285001, U. P., Asterisque may be purchased at a discount price. India. Members in the us, Canada or Mexico should order Privileges: Jiianabha (an interdisciplinary mathe­ their copies from the AMS. (See the New AMS matical journal currently published once a year); Publications section in this issue for a list of the back volumes available at 25% discount. back issues which may be purchased as individual Officers: H. M. Srivastava (Foreign Secretary and volumes.) Editor), R. C. Singh Chandel (Treasurer-Secretary Officers: C. Houze) (President), M. Herve, G. and Managing Editor), J. N. Kapur (Chief Advisor). Lachaud, J.-L. Verdier (Vice Presidents), Lionel Berard-Bergery (Treasurer), M. David, J. L. Stehle Europe (Secretaries). ePolskie Towarzystwo Matematyczne South Pacific Apply to: Polskie Towarzystwo Matematyczne, Sniadeckich 8, 00-950 Warszawa, Poland. • Malaysian Mathematical Society Dues: $8, payable to Polskie Towarzystwo Mate­ Apply to: The Secretary, Malaysian Mathematical matyczne. Society, c/o Department of Mathematics, University Privileges: Participation in scientific conferences or­ of Malaya, Kuala Lumpur, Malaysia. ganized by the Polish Mathematical Society and in Dues: $10; payable to Malaysian Mathematical its scientific sessions; in addition, members receive Society. any two of the following six series of the publica­ Privileges: MMS Newsletter, Bulletin of the tion Annales Societatis Mathematicae Polonae: Malaysian Mathematical Society (two issues per Commentationes Mathematicae in congress lan­ year), reduced rate for Menemui Matematik (three guages, Wiadomosci Matematyczne (Mathematical issues per year). News) in Polish, Matematyka Stosowana (Applied Officers: Chong-Keang Lim (President), Pak-Soong Mathematics) in Polish, Fundamenta Infor­ Chee, Abu Osman Md. Tap (Vice Presidents), Gek­ maticae in congress languages, Dydaktyka Ling Chia (Treasurer), Sek-Wui Seah (Secretary). Matematyki (Didactics of Mathematics) in Polish,

656 East Lansing, November 12-13, 1982, Michigan State University Program for the 799th Meeting

The seven hundred ninety-ninth meeting of the JOHN ZELEZNIKOW, Michigan State University. American Mathematical Society will be held at The speakers will be G. T. Clarke, Arthur Gerhard, Michigan State University, East Lansing, on Friday R. P. Hunter, Peter R. Jones, Gerard Lallement, and Saturday, November 12-13, 1982. Sessions D. R. LaTorre, B. L. Madison, Stuart W. Margolis, will be held in the Kellogg Center for Continuing C. J. Maxson, Donald B. McAlister, Robert B. Education on the MSU campus. McFadden, John C. Meakin, Mohan S. Putcha, M. Invited Addresses Rajagopalan, and Boris M. Schein. Finite geometries and related topics, JONA­ By invitation of the 1982 Committee to Select THAN I. HALL, Michigan State University. The Hour Speakers for Central Sectional Meetings, there speakers will be Michael Aschbacher, Eiichi Bannai, will be four invited one-hour addresses. The speakers, Aiden A. Bruen, Robert Calderbank, Bruce N. their titles, and the scheduled times of presentation Cooperstein, Marshall Hall, Jr., John L. Hayden, are as follows: D. G. Higman, William M. Kantor, Geoffrey Mason, HAROLD G. DONNELLY, Purdue University, Mark A. Ronan, H. J. Ryser, Ernest E. Shult, L 2 cohomology of complete Riemannian manifolds, Stephen D. Smith, Alan P. Sprague, David B. 1:45 p.m. Saturday. Surowski, Joseph A. Thas, J. H. van Lint, Harold N. WILLIAM T. EATON, University of Texas, Ward, and Richard M. Weiss. Austin, Some uses of decomposition spaces in Geometry of foliations, PHILIPPE M. TON­ manifold theory, 1:45 p.m. Friday. DEUR, University of Illinois, Urbana-Champaign. SIMON HELLERSTEIN, University of Wisconsin, The speakers will be Robert A. Blumenthal, Lawrence Madison, Reality of the zeros of derivatives of entire Conlon, T. Duchamp, Richard H. Escobales, Jr., Her­ and meromorphic functions, 11:00 a.m. Friday. man Gluck, James L. Heitsch, Steven Hurder, David JEFFREY B. RAUCH, University of Michigan, L. Johnson, Franz W. Kamber, Connor Lazarov, Ann Arbor, Nonlinear interaction of waves: recent Albert Marden, and Jack Ucci. discoveries, 11:00 a.m. Saturday. Classical complex analysis, ALLEN W. All four talks will be given in the auditorium of WEITSMAN, Purdue University, West Lafayette. the Kellogg Center. The speakers will be Albert Baernstein II, James Special Sessions E. Brennan, Barbara A. Brown, Johnny E. Brown, David Drasin, Albert Edrei, F. W. Gehring, Robert By invitation of the same committee, there will Kaufman, Peter Lappan, A. Marden, David Minda, be seven special sessions of selected twenty-minute G. Piranian, Richard Rochberg, Lee A. Rubel, Daniel papers. The topics of these special sessions, the F. Shea, Kenneth Stephenson, Carl Sundberg, D. names of the organizers, and the final lists of speakers Wright, and Jang-Mei Wu. are as follows: Geometric topology, SELMAN AKBULUT and Contributed Papers MICHAEL HANDEL, Michigan State University. There will also be sessions for contributed ten­ The speakers will be J. S. Birman, Steven A. Bleiler, minute papers on Friday morning. Tim Cochran, William D. Dunbar, Allan L. Edmonds, Registration David Gabai, James P. Henderson, Robert Meyerhoff, Ulrich Oertel, John Smillie, and L. R. Taylor. The meeting registration desk will be located in Interaction-diffusion systems, DONALD G. the central lobby of the Kellogg Center and will ARONSON, University of Minnesota, Minneapolis. be open from 8:00 a.m. until 5:00 p.m. on Friday, The speakers will be D. G. Aronson, Maury Bramson, and from 8:00 a.m. until 10:00 a.m. on Saturday. Steven R. Dunbar, G. B. Ermentrout, Neil Fenichel, The registration fees are $10 for members, $16 for John A. Feroe, Robert Gardner, Stuart P. Hastings, nonmembers, and $5 for students or unemployed C. Jones, Roger Lui, R. C. MacCamy, Hans G. mathematicians. Othmer, Joel A. Smoller, David Terman, William C. Aeeommodations Troy, Juan-Luis Vazquez, and Hans Weinberger. Rooms are available in the Kellogg Center at a Banach spaces of analytic functions, SHELDON cost of $30 per night for single occupancy, or $18 AxLER, Michigan State University. The speakers per person per night for a shared twin bedroom. A will be Leon Brown, Kevin F. Clancey, Carl C. Cowen, tax of 4 percent applies to these rates and is not James Dudziak, Pamela B. Gorkin, Jim Hartman, included. Individuals should send their requests for Sergei Hru~cev, Daniel H. Luecking, Barbara D. reservations to the Kellogg Center for Continuing MacCiuer, Joel H. Shapiro, Allen Shields, and Carl Education, Michigan State University, East Lansing, Sundberg. Michigan 48824 prior to the cut-off date of October Semigroup theory, KARL E. BYLEEN and 28. It is not necessary to prepay housing unless the PETER R. JONES, Marquette University, and reservation is to be guaranteed for late arrival, in

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658 which case a check payable to the Kellogg Center Food Service should be included. The telephone number for the Food will be available at the Kellogg Center, Center is 517-332-6571. and numerous restaurants are within easy walking The following area motels are within a short drive distance. and, with the exception of the from the Center Entertainment Red Roof Inn, are holding blocks of rooms for participants. Individuals should make reservations A beer party with a cash bar will be held on Friday directly with the motel of their choice prior to the evening in the Centennial Room at the Kellogg cut-otT date of October 28. Rates quoted are as Center. of March 1, 1982; they are subject to change and Travel probably do not include the 4 percent tax. East Lansing is located three miles east of Lansing, Harley Hotel the capitol of Michigan, and is 85 miles west of 3600 Dunckel, Lansing, MI 48910 Detroit. The airport in Lansing is served by Telephone: 800-321-2323 Piedmont, Republic, and United Airlines, as well as Single $46.50 up Double $53.50 up Simmons (commuter) Airlines. Taxi fare from the Quality Inn (formerly Holiday Inn) airport to the Kellogg Center costs approximately 3121 E. Grand River, Lansing, MI 48912 $8. Greyhound Bus Lines operates several buses each Telephone: 517-351-1440 day from Detroit and Chicago. Amtrak's Blue Water Limited, operating between Chicago and Port Huron, Single $26.95 up Double $32.95 up passes through East Lansing; a connection to or from Red Roof Inn Detroit is possible by changing at Battle Creek. 3615 Dunckel, Lansing, MI 48910 Motorists traveling on I-96 or I-69 should take the 517-332-2575 Telephone Trowbridge exit and proceed east to Harrison Road, Single $25.74 Double $28.92 (1 bed) turn left, and proceed north about one mile to the Double $31.04 (2 beds) Kellogg Center. University Inn Parking 1100 Trowbridge Road, East Lansing, MI 48823 Telephone: 517-351-5500 A gated parking lot is situated directly south of the Kellogg Center, where parking is 35 cents per Single $30 up Double $36 up hour, with a maximum of $2 per day. Overnight The Life O'Riley Mobile Home Park is open for guests at the Center may have their parking tickets travel trailers at 6726 South Washington, Lansing, validated at the hotel desk. MI 48910, telephone 517-882-1331. The KOA Campground closes November 1.

Presenters of Papers Numbers following the names indicate the speakers' positions on the program. •Invited one-hour lecturer *Special session speaker

*Aronson, D. G., 110 *Edmonds, A. L., 27 *Kantor, W. M., 31 *Rochberg, R., 40 *Aschbacher, M., 33 * Edrei, A., 41 *Kaufman, R., 77 *Ronan, M. A., 34 * Baernstein, A., II, 14 Embry-Wardrop, M., 10 * Lallement, G., 35 Rubel, L. A., 7 *Bannai, E., 5 *Ermentrout, G. B., 22 *Lappan, P., 42 *Rubel, L.A., 13 *Birman, J. S., 80 *Escobales, R. H., Jr., 69 *LaTorre, D. R., 19 *Ryser, H. J., 6 *Bleiler, S. A., 25 *Fenichel, N., 90 *Lazarov, C., 56 *Schein, B. M., 16 *Blumenthal, R. A., 54 *Feroe, J. A., 89 *Van Lint, J. H., 62 *Shapiro, J. H., 49 *Bramson, M.D., 109 * Gabai, D., 26 *Luecking, D. H., 111 *Shea, D. F., 12 *Brennan, J. E., 11 *Gardner, R., 45 *Lui, R., 108 *Shields, A., 94 *Brown, B. A., 106 *Gehring, F. W., 39 *MacCamy, R. C., 21 * Shult, E. E., 65 *Brown, J. E., 15 *Gerhard, A., 38 *MacCluer, B. D., 52 *Smillie, J., 61 *Brown, L., 50 *Gluck, H., 70 *Madison, B. L., 17 *Smith, S.D., 30 *Bruen, A. A., 67 *Gorkin, P. B., 112 *Marden, A., 72, 75 *Smoller, J. A., 44 *Calderbank, R., 3 *Hall, M., Jr., 1 *Margolis, S. W., 36 * Sprague, A. P., 64 Carothers, D. C., 9 *Hartman, J., 93 *Mason, G., 97 *Stephenson, K., 103 *Clancey, K. F., 92 *Hastings, S. P., 87 *Maxson, C. J., 84 *Sundberg, C., 104, 114 *Clarke, G. T., 18 *Hayden, J. L., 2 *McAlister, D. B., 100 * Surowski, D. B., 32 * Cochran, T., 24 *Heitsch, J. L., 57 *McFadden, R. B., 85 *Taylor, L. R., 81 *Conlon, L., 71 • Hellerstein, 8., 28 McKennon, K., 8 *Terman, D., 47 *Cooperstein, B. N., 99 *Henderson, J.P., 79 *Meakin, J. C., 86 * Thas, J. A., 66 *Cowen, C. C., 91 *Higman, D. G., 63 *Meyerhoff, R., 60 *Troy, W. C., 48 •Donnelly, H. G., 96 *Hru~cev, S. v., 113 *Minda, D., 74 * Ucci, J., 68 *Drasin, D., 78 *Hunter, R. P., 102 *Oertel, U., 82 *Vazquez, J.-L., 23 *Duchamp, T., 53 *Hurder, S., 58 * Othmer, H. G., 20 *Ward, H. N., 4 *Dudziak, J., 51 *Johnson, D. L., 73 *Piranian, G., 105 *Weinberger, H., 107 *Dunbar, S. R., 46 *Jones, C., 88 *Putcha, M. S., 83 *Weiss, R. M., 98 *Dunbar, W. D., 59 *Jones, P.R., 37 *Rajagopalan, M., 101 *Wright, D., 76 •Eaton, W. T., 29 *Kamber, F. W., 55 •Rauch, J. B., 95 * Wu, J.-M., 43

659 Program of the Sessions The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in AMS sessions at this meeting will be found in the November 1982 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Friday, 8:00a.m. Special Session on Finite Geometries and Related Topics, I Kellogg Center, Room 101 8:00- 8:20 {1) Ternary and binary codes for a plane of order 12. MARSHALL HALL, JR.*, California Institute of Technology and JOHN F. WILKINSON, University of Alaska, Fairbanks {799-05-27) 8:30- 8:50 {2) Existence theorems for finite projective planes. Preliminary report. JOHN L. HAYDEN, Bowling Green State University {799-05-91) 9:00- 9:20 {3) The geometry of two-weight codes. ROBERT CALDERBANK, Bell Laboratories, Murray Hill {799-05-28) 9:30- 9:50 {4) Combinatorics of BCH bounds for Abelian group codes. Preliminary report. HAROLD N. WARD, University of Virginia {799-94-21) 10:00-10:20 {5) Toward the classification of (P and Q}-polynomial association schemes. Preliminary report. EIICHI BANNAI*, Ohio State University, Columbus, and TATSURO ITO, Tsukuba University, Japan {799-05-78) 10:30-10:50 {6) Indeterminates and set intersections. Preliminary report. H. J. RYSER, California Institute of Technology {799-05-44)

Friday, 8:00a.m. Session on Logie and Analysis Kellogg Center, Room 110 8:00- 8:10 {7) Conformal inequivalence of circular annuli and the first-order theory of subgroups of PSL(2,R). LEE A. RUBEL, University of illinois, Urbana-Champaign {799-03-05) 8:15- 8:25 {8) The algebra of test functions on a locally compact abelian group. Preliminary report. DAVID NOVAK, Simmons College, and KELLY MCKENNON*, Washington State University {799-43-90) 8:30- 8:40 {9) Semi-continuous operators. DAVID C. CAROTHERS, Hope College {799-47-63) 8:45- 8:55 {10) The partially isometric factor of a semigroup. MARY EMBRY-WARDROP, Central Michigan University {799-47-70)

Friday, 8:30a.m. Special Session on Classical Complex Analysis, I Kellogg Center, Room 103 8:30- 8:50 {11) Weighted polynomial approximation and the general theory of quasianalyticity. JAMES E. BRENNAN, University of Kentucky {799-30-13) 9:00- 9:20 {12) On the representation of functions subharmonic in space. RAO V. NAGISETTY, University of Toledo, and DANIEL F. SHEA*, University of Wisconsin, Madison {799-31-109) 9:30- 9:50 {13) Some applications of Nevanlinna theory to mathematical logic. C. WARD HENSON and LEE A. RUBEL*, University of lllinois, Urbana-Champaign {799-30-03) 10:00-10:20 {14) Embedding theorems for HP(Rn). ALBERT BAERNSTEIN II*, Washington University, and ERIC T. SAWYER, McMaster University {799-42-81) 10:30-10:50 {15) Quasiconformal extensions for some geometric subclasses of univalent functions. Preliminary report. JOHNNY E. BROWN, Purdue University, West Lafayette (799-30-25)

Friday, 9:00a.m. Special Session on Semigroup Theory, I Kellogg Center, Room 102 9:00- 9:20 {16) Semigroups determining hypergraphs. Preliminary report. BORIS M. SCHEIN, University of Arkansas, Fayetteville {799-20-60) 9:30- 9:50 {17) Notes on congruences on regular semigroups. R. J. KOCH, Louisiana State University, Baton Rouge, and B. L. MADISON*, University of Arkansas, Fayetteville {799-20-59) 10:00-10:20 {18) Semigroup varieties with the amalgamation property. Preliminary report. G. T. CLARKE, University of Arkansas, Fayetteville {799-20-34) {Introduced by Bernard L. Madison)

660 10:30-10:50 (19) The least semilattice of groups congruence on a regular semigroup. D. R. LATORRE, Clemson University (799-20-66)

Friday, 9:00a.m.

Special Session on Interaction-Diftb.sion Systems, I Kellogg Center, Room 104 9:00- 9:20 (20) Scale-invariance in nonlinear diffusion equations. Preliminary report. HANS G. OTHMER, University of Utah (799-35-58) (Introduced by Frank C. Hoppensteadt) 9:30- 9:50 (21) Directed diffusion models. R. C. MACCAMY, Carnegie-Mellon University (799-92-110) 10:00-10:20 (22) Frequency plateaus in weakly coupled chains of oscillators. Preliminary report. G. B. ERMENTROUT*, University of Pittsburgh, Pittsburgh, and N. KOPELL, Northeastern University (799-92-99) 10:30-10:50 (23) Asymptotics of the one-dimensional porous-media equation. JUAN-LUIS VAZQUEZ, University of Minnesota, Minneapolis, and Universidad Aut6noma de Madrid, Spain (799-35-115) (Introduced by Donald G. Aronson)

Friday, 9:00a.m.

Special Session on Geometric Topology, I Kellogg Center, Room 107 9:00- 9:20 (24) Ribbon knots in 8 4. TIM COCHRAN, Massachusetts Institute of Technology (799-57-112) 9:30- 9:50 (25) Prime tangles and composite knots. STEVEN A. BLEILER, University of Texas, Austin (799-57-10) 10:00-10:20 (26) An internal hierarchy for 3-manifolds. DAVID GABAI, Institute for Advanced Study (799-57-12)

10:30-10:50 (27) A topological proof of the equivariant Dehn lemma. Preliminary report. ALLAN L. EDMONDS, Indiana University, Bloomington (799-57-38)

Friday, 11:00 a.m.

Invited Address Kellogg Center, Auditorium 11:00-12:00 (28) Reality of the zeros of derivatives of entire and meromorphic functions. SIMON HELLERSTEIN, University of Wisconsin, Madison (799-30-102)

Friday, 1:45 p.m.

Invited Address Kellogg Center, Auditorium 1:45- 2:45 (29) Some uses of decomposition spaces in manifold theory. WILLIAM T. EATON, University of Texas, Austin (799-57-49)

Friday, 3:00 p.m.

Special Session on Finite Geometries and Related Topics, II Kellogg Center, Room 101 3:00- 3:20 (30) Residual geometries for finite groups. STEPHEN D. SMITH, University of illinois, Chicago (799-20-08) 3:30- 3:50 (31) GABs. WILLIAM M. KANTOR, University of Oregon (799-51-35) 4:00- 4:20 (32) !-cohomology and covers of chamber systems. DAVID B. SUROWSKI, Kansas State University (799-51-29) 4:30- 4:50 (33) Presheaves on Tits geometries. MICHAEL AsCHBACHER, California Institute of Technology (799-05-43) 5:00- 5:20 (34) Triangle geometries. MARK A. RONAN, University of illinois, Chicago (799-51-01)

Friday, 3:00p.m.

Special Session on Semigroup Theory, II Kellogg Center, Room 102 3:00- 3:20 (35) Composition of codes and wreath-product decompositions of their syntactic monoids. Preliminary report. GERARD LALLEMENT, Pennsylvania State University, University Park (799-20-106) 3:30- 3:50 (36) Some operations preserving decidability of membership in 8-varieties. STUART W. MARGOLIS, University of Vermont (799-20-47) 4:00- 4:20 (37) Free products of inverse semigroups. PETER R. JONES, Marquette University (799-20-42) 4:30- 4:50 (38) The word problem for free completely regular semigroups. ARTHUR GERHARD, University of Manitoba (799-20-113)

661 Friday, 3:00 p.m. Special Session on Classical Complex Analysis, II Kellogg Center, Room 103 3:00- 3:20 (39) On the Nehari univalence criterion. F. W. GEHRING*, University of Michigan, Ann Arbor, and CH. POMMERENKE, Technische Universitat Berlin, Federal Republic of Germany (799-30-80) 3:30- 3:50 (40) A decomposition theorem for functions in BMO. Preliminary report. RICHARD HOCHBERG* and STEPHEN SEMMS, Washington University (799-30-94) 4:00- 4:20 (41) Analytic functions having many zeros in a disk. ALBERT EDREI, Syracuse University (799-30-55) 4:30- 4:50 (42) Normal functions with bounded coefficients. PETER LAPPAN, Michigan State University (799-30-14) 5:00- 5:20 (43) Mim'mum growth of harmonic functions and thinness of a set. JANG-MEI Wu, University of Dlinois, Urbana-Champaign (799-30-62)

Friday, 3:00p.m. Special Session on Interaction-Diftb.sion Systems, II Kellogg Center, Room 104 3:00- 3:20 (44) Algebraic and topological invariants for reaction-diffusion equations. JOEL A. SMOLLER, University of Michigan, Ann Arbor (799-35-56) 3:30- 3:50 (45) Existence of travelling wave solutions of predator-prey equations via the connection index. ROBERT GARDNER, Tulane University and University of Massachusetts, Amherst (799-35-48) 4:00- 4:20 (46) Periodic traveling waves and equilibrium-to-periodic fronts in diffusive predator-prey equations. Preliminary report. STEVEN R. DUNBAR, University of Utah (799-35-68) 4:30- 4:50 (47) 7raveling wave solutions of a multistable reaction-diffusion equation. DAVID TERMAN, MRC, University of Wisconsin, Madison (799-35-83) 5:00- 5:20 (48) Bursting phenomena in the Belousov-Zhabotinski( reaction. Preliminary report. WILLIAM C. TROY*, University of Pittsburgh, Pittsburgh, and JOHN RINZEL, National Institutes of Health, Bethesda (799-92-100)

Friday, 3:00p.m. Special Session on Banach Spaces of Analytic Functions, I Kellogg Center, Room 107 3:00- 3:20 (49) Weak vs. strong nonseparability for the harmonic Hardy spaces hP(O < p < 1). JOEL H. SHAPIRO, Michigan State University (799-46-65) 3:30- 3:50 (50) Cyclic vectors in the Dirichlet space. LEON BROWN*, Wayne State University, and ALLEN SHIELDS, University of Michigan, Ann Arbor (799-30-52) 4:00- 4:20 (51) Spectral mapping theorems for subnormal operators. JAMES DUDZIAK, Michigan State University (799-47-39) 4:30- 4:50 (52) Iterates of holomorphic self-maps of the unit ball in eN. BARBARA D. MACCLUER, Michigan State University (799-32-64)

Friday, 3:00 p.m.

Special Session on Geometry of Foliations, I Kellogg Center, Room 110 3:00- 3:20 (53) Deformations of the Hopf foliation. T. DUCHAMP*, University of Washington, and M. KALKA, Tulane University (799-53-31) 3:30- 3:50 (54) Foliations with locally reductive normal bundle. ROBERT A. BLUMENTHAL, St. Louis University (799-57-02) 4:00- 4:20 (55) Duality theorems for foliations. FRANZ W. KAMBER* and PHILIPPE TONDEUR, University of illinois, Urbana-Champaign (799-53-09) 4:30- 4:50 (56) 7ransverse index theory and exotic classes for foliations. CONNOR LAZAROV, Lehman College, City University of New York (799-57-50) 5:00- 5:20 (57) Secondary classes, Weil operators and the geometry of foliations. JAMES L. HEITSCH* and STEVE HURDER, University of California, Berkeley (799-57-23) 5:30- 5:50 (58) Ergodic theory and the Weil measures. STEVEN HURDER, Princeton University (797-57-67)

Friday, 3:00p.m. Special Session on Geometric Topology, II Kellogg Center, Auditorium 3:00- 3:20 (59) Classifying 3-dimensional solvorbifolds. Preliminary report. WILLIAM D. DUNBAR, Rice University (799-57-105)

662 3:30- 3:50 (60) Unboundedness of the eta invariant for hyperbolic 3-manifolds. Preliminary report. ROBERT MEYERHOFF, Michigan State University (799-57-103) 4:00- 4:20 (61) The horocycle flow for non-compact surfaces. JOHN SMILLIE*, Graduate Center, City University of New York, and S. G. DAHL, Tata Institute, India (799-58-85) 4:30- 4:50 Informal problem session

Saturday, 8:00a.m. Speeial Session on Finite Geometries and Related Topics, III Kellogg Center, Room 101 8:00- 8:20 (62) Geometric constructions of 3-class schemes and corresponding strongly regular graphs. J. H. VAN LINT, California Institute of Technology (799-05-30) 8:30- 8:50 (63) Coherent configurations and quasi-symmetric designs. D. G. HIGMAN, University of Michigan, Ann Arbor (799-05-92) 9:00- 9:20 (64) Extended dual affine planes and optimal codes. ALAN P. SPRAGUE, Ohio State University, Colm~bus (799-05-93) 9:30- 9:50 (65) Cotriangular closures of graphs. Preliminary report. ERNEST E. SHULT, Kansas State University (799-05-82) (Introduced by Jonathon I. Hall) 10:00-10:20 (66) The generalized hexagon H(q) and Kantor's generalized quadrangle K(q). Preliminary report. JOSEPH A. THAS, State University of Ghent, Belgium (799-51-04) (Introduced by Jonathan I. Hall) 10:30-10:50 (67) On the non-existence of certain M.D.S. codes and projective planes. Preliminary report. AlDEN A. BRUEN* and ROBERT SILVERMAN, University of Western Ontario (799-05-111)

Saturday, 8:00a.m. Special Session on Geometry of Foliations, II Kellogg Center, Room 110 8:00- 8:20 (68) On the nonexistence of Riemannian submersions form CP(7) and QP(3). JACK UcCI, Syracuse University (799-53-17) 8:30- 8:50 (69) Remarks on bundle-like foliations. Preliminary report. RICHARD H. ESCOBALES, JR., Canisius College (799-57-89) 9:00- 9:20 (70) The homeomorphism problem for Blaschke manifolds. HERMAN GLUCK*, FRANK WARNER and C. T. YANG, University of Pennsylvania (799-53-88) 9:30- 9:50 (71) Dynamics of open, foliated manifolds and Godbillon- Vey. Preliminary report. JOHN CANTWELL, St. Louis University, and LAWRENCE CONLON*, Washington University (799-57-51) 10:00-10:20 (72) Measured foliations and quadratic differentials on Riemann surfaces. ALBERT MARDEN, University of Minnesota, Minneapolis (799-30-40) 10:30-10:50 (73) Secondary invariants of flat holomorphic vector bundles. Preliminary report. DAVID L. JOHNSON, Texas A&M University, College Station (799-53-76)

Saturday, 8:30a.m. Special Session on Classical Complex Analysis, III Kellogg Center, Room 103 8:30- 8:50 (74) Marden constants for Bloch and normal functions. DAVID MINDA, University of Cincinnati, University College (799-30-18) 9:00- 9:20 (75) The Heights Theorem on parabolic Riemann surfaces R. A. MARDEN*, University of Minnesota, Minneapolis, and K. STREBEL, University of Zurich, Switzerland (799-30-45) 9:30- 9:50 (76) Multivalent functions convex in one direction. Preliminary report. A. K. L YZZAIK, University of Petroleum and Minerals, Saudi Arabia, and D. STYER and D. WRIGHT*, University of Cincinnati, Cincinnati (799-30-54) 10:00-10:20 (77) Removable sets for analytic functions. ROBERT KAUFMAN, University of illinois, Urbana­ Champaign (799-30-61) 10:30-10:50 (78) Quasiregular mappings and metrics on the n-sphere with punctures. DAVID DRASIN, Purdue University, West Lafayette (799-30-108)

Saturday, 8:30a.m. Speeial Session on Geometric Topology, III Kellogg Center, Room 105 8:30- 8:50 Informal problem session 9:00- 9:20 (79) Cell-like mappings between CS sets. Preliminary report. JAMES P. HENDERSON, Texas A&M University (799-57-19) 9:30- 9:50 (80) Simple curves on surfaces. Preliminary report. J. S. BIRMAN*, Columbia University, and C. SERIES, University of Warwick, England (799-57-74)

663 10:00-10:20 (81) Smoothing 4-manifolds. Preliminary report. R. K. LASHOF, University of Chicago, Chicago, and L. R. TAYLOR*, University of Notre Dame (799-57-104) 10:30-10:50 (82) Isotopy relations for incompressible branched surfaces. Preliminary report. ULRICH OERTEL, Michigan State University (799-57-114)

Saturday, 9:00a.m.

Special Session on Semigroup Theory, III Kellogg Center, Room 102 9:00- 9:20 (83) Matrix semigroups. MOHAN S; PUTCHA, North Carolina State University (799-20-07) 9:30- 9:50 (84) Semigroups and centralizer near-rings. C. J. MAXSON, Texas A&M University, College Station (799-20-36) 10:00-10:20 (85) Regular semigroups with inverse transversals. ROBERT B. MCFADDEN, Northern illinois University (799-20-79) (Introduced by D. B. McAlister) 10:30-10:50 (86) Notes on free local semilattices. Preliminary report. JOHN C. MEAKIN, University of Nebraska, Lincoln (799-20-37)

Saturday, 9:00a.m.

Special Session on Interaction-Di:lfusion Systems, III Kellogg Center, Room 104 9:00- 9:20 (87) The FitzHugh-Nagumo traveling wave equations satisfy Silnikoff's conditions for "chaos". STUART P. HASTINGS, State University of New York, Buffalo (799-34-26) 9:30- 9:50 (88) Stability of travelling waves. C. JONES, University of Arizona (799-35-57) 10:00-10:20 (89) Traveling waves with finitely many pulses in a nerve equation. JOHN A. FE ROE, Vassar College (799-92-75) 10:30-10:50 (90) Numerical computation of traveling waves. NEIL FENICHEL, University of British Columbia (799-34-101) (Introduced by Donald G. Aronson)

Saturday, 9:00a.m.

Special Session on Banach Spaces of Analytic Functions, II Kellogg Center, Room 107 9:00- 9:20 (91) Subnormality of the Cesaro operator and a semigroup of composition operators. CARL C. COWEN, Purdue University (799-47-06) 9:30- 9:50 (92) Weak star closure of polynomials and non-normal operators. KEVIN F. CLANCEY, University of Georgia (799-47-84) 10:00-10:20 (93) Bounded projections on the commutant of a bilateral weighted shift. Preliminary report. JIM HARTMAN, College of Wooster (799-47-73) 10:30-10:50 (94) An analogue for upper triangular trace-class operators of an inequality of Hardy-Littlewood, Fejer. ALLEN SHIELDS, University of Michigan, Ann Arbor (799-47-72)

Saturday, 11:00 a.m.

Invited Address Kellogg Center, Auditorium 11:00-12:00 (95) Nonlinear interaction of waves: recent discoveries. JEFFREY B. RAUCH, University of Michigan, Ann Arbor (799-35-32)

Saturday, 1:45 p.m.

Invited Address Kellogg Center, Auditorium 1:45- 2:45 (96) L 2 cohomology of complete Riemannian manifolds. HAROLD G. DONNELLY*, Purdue University, and F. XAVIER, Institute for Advanced Study (799-58-20)

Saturday, 3:00p.m.

Special Session on Finite Geometries and Related Topics, IV Kellogg Center, Room 101 3:00- 3:20 (97) Ovoids over GF(2) and 2-groups acting on translation planes of odd order. Preliminary report. GEOFFREY MASON, University of California, Santa Cruz (799-20-107) (Introduced by Jonathan I. Hall) 3:30- 3:50 (98) Groups generated by 3-transpositions. RICHARD M. WEISS, 'fufts University (799-20-77) 4:00- 4:20 (99) A characterization of Lie geometries of exceptional type. Preliminary report. BRUCE N. COOPERSTEIN*, University of California, Santa Cruz, and ARJEH COHEN, Mathematisch Centrum, Amsterdam, The Netherlands (799-51-16)

664 Saturday, 3:00p.m. Special Session on Semigroup Theory, IV Kellogg Center, Room 102 3:00- 3:20 (100) Rees matria; covers for regular sem't{l1'oups. Preliminary report. DONALD B. MCALISTER, Northern lllinois University (799-20-33) 3:30- 3:50 (101) Semigroups and their compactifications. Preliminary report. M. RAJAGOPALAN*, University of Toledo, and M. SATYANARAYANA, Bowling Green State University (799-20-86) 4:00- 4:20 (102) Certain semigroups defined by the Bohr compactification. R. P. HUNTER, Pennsylvania State University, University Park (799-20-87) (Introduced by Gerard Lallement)

Saturday, 3:00 p.m. Special Session on Classieal Complex Analysis, IV Kellogg Center, Room 103 3:00- 3:20 (103) Analytic functions on the unit disc having finite valence. Preliminary report. KENNETH STEPHENSON, University of Tennessee, Knoxville (799-30-53) 3:30- 3:50 (104) Level sets of analytic functions. Preliminary report. KENNETH STEPHENSON and CARL SUNDBERG*, University of Tennessee, Knoxville (799-30-95) 4:00- 4:20 (105) The radial behavior of Blaschke products. Preliminary report. C. L. BELNA, Clay, New York, P. COLWELL, Iowa State University, and G. PIRANIAN*, University of Michigan, Ann Arbor (799-30-22} 4:30- 4:50 (106) Jordan domains and the universal Teichmiiller space. Preliminary report. BARBARA A. BROWN, University of Michigan, Ann Arbor (799-30-24)

Saturday, 3:00p.m. Special Session on Interaction-Diftbsion Systems, IV Kellogg Center, Room 104 3:00- 3:20 (107) Asymptotic behavior of scalar discrete-time models. Preliminary report. HANS WEINBERGER, University of Minnesota, Minneapolis (799-39-96) 3:30- 3:50 (108) Existence and stability of travelling wave solutions of a nonlinear integral operator. ROGER LUI, San Diego State University (799-45-69) 4:00- 4:20 (109) Convergence to travelling waves of certain systems of interacting diffusion equations. MAURY D. BRAMSON, University of Minnesota, Minneapolis (799-35-97) 4:30- 4:50 (110) Stabilization of solutions of nonlinear diffusion problems. D. G. ARONSON, University of Minnesota, Minneapolis (799-35-98)

Saturday, 3:00p.m. Special Session on Banach Spaces of Analytic Functions, m Kellogg Center, Room 107 3:00- 3:20 (111} Forward and reverse Carleson-type inequalities for the Bergman spaces. DANIEL H. LUECKING, University of Arkansas, Fayetteville (799-30-15) 3:30- 3:50 (112} Sets of antisymmetry of H"" + C and support sets. Preliminary report. PAMELA B. GORKIN, Bucknell University (799-46-41) 4:00- 4:20 (113) Hankel operators and the problem of best approximation by analytic functions. S. V. HRU!!c:Ev, Steklov Institute of Mathematics, Leningrad, USSR, and Purdue University, West Lafayette (799-46-46) 4:30- 4:50 (114) Values of BMOA functions on interpolating sequences. CARL SUNDBERG, University of Tennessee, Knoxville (799-30-71)

Paul T. Bateman Urbana, Illinois Associate Secretary

665 Monterey, November 19-20, 1982, Naval Postgraduate School Program for the BOOth Meeting

The eight hundredth meeting of the American Registration Mathematical Society will be held at the Naval The meeting registration desk will be located on Postgraduate School in Monterey, California, outside of Room 122 Ingersoll Hall, and will be open This Friday and Saturday, November 19-20, 1982. from 11:00 a.m. to 5:30 p.m. on Friday, and from of meeting will be held in conjunction with a meeting 8:00 a.m. to 12:30 p.m. on Saturday. Registration for Industrial and Applied Mathematics the Society fees will be $6 for members of the AMS or SIAM, $8 (SIAM). All sessions will take place in Ingersoll Hall for nonmembers, and $2 for students or unemployed and in Spanagel Hall. mathematicians. Invited Addresses Accommodations of the Committee to Select Hour By invitation Although rooms have not been blocked at the for Far Western Sectional Meetings, there Speakers following motels convenient to the campus, they two invited one-hour addresses. The speakers will be are included here for information purposes and are: participants are advised to mention the mathematics DAVID GIESEKER, University of California, Los meeting when making reservations. All are located Angeles, Special divisors on Riemann surfaces. in Monterey. The zip code is 93940. These rates RICHARD SCHOEN, University of California, are not firm, and are subject to possible change. Berkeley, Curvature and differential equations. Accommodations are not available at the Naval Special Sessions Postgraduate School. By invitation of the same committee, there will be Fairgrounds TraveLodge four special sessions of selected twenty-minute papers. 2030 Fremont Boulevard The topics of these special sessions, names of the Telephone: 408-373-3381 or 800-255-3050 organizers, and the lists of speakers are as follows: Single $33 Double $40 Mathematical biology, FRANK C. HOPPEN­ Hilton Inn Resort STEADT, University of Utah. The speakers are 1000 Aquajito Road at Route 1 Mimmo Iannelli,. James P. Keener, Marc Mangel, Telephone: 408-373-6141 Garrett M. Odell, Richard E. Plant, and S. Tavare. All rooms $60 Partial differential equations and differential geometry, PETER LI, Stanford University. The Holiday Inn speakers will be Thomas P. Branson, Shiu-Yuen 2600 Sand Dunes Drive Cheng, Theodore Frankel, R. E. Greene, Robert Telephone: 408-394-1437 (Joelle Mazone)* Osserman, Walter Seaman, Andrejs Treibergs, and or 408-394-3321 Paul Yang. Single $65 Double $75 Algebraic geometry, KENT MORRISON, Califor­ * If 10 or more participants telephone Ms. Mazone nia Polytechnic State University. The speakers will for reservations, a special group rate will apply. be Susan L. Addington, James A. Carlson, Richard Crew, Goro C. Kato, James R. King, William E. Hyatt Del Monte Lang, and Robert Varley. 1 Old Golf Course Road Telephone: 408-372-7171 or 800-228-9000 Systems theory, CHEN-HAN SUNG, University of California, Santa Barbara. The speakers are All rooms $65 John Guckenheimer, J. William Helton, Thomas Food Service Kailath, Arthur J. Krener, Nhan Levan, Ruey-Wen Liu, E. Polak, Richard Saeks, Leonard M. Silverman, Food will be available at Herrmann Hall on Friday, Chen-Han Sung, and Y. S. Tang. but will not be available at that location on Saturday. Contributed Papers Social Events There will also be sessions for contributed ten­ The Friday luncheon announced in the August minute papers. Notices has been cancelled. A social hour at 5:30 on Friday evening will precede a banquet in Hermann SIAM Program Hall at 7:00 p.m. at which JOSEPH B. KELLER PETER C. C. WANG of the Naval Postgraduate of Stanford University will present a talk entitled, School will deliver an address entitled, Engineer­ Rambling through applied mathematics. Seating ing data handling systems and solid modeling. for the banquet will be available only for those ALFRED WEAVER of the University of Virginia participants who made advance reservations prior to will deliver an address entitled, Mini-computers with October 20, in accordance with the announcement in applications in the CAD/ CAM area. the October Notices.

666 Parking north on Highway 68, take the Fremont exit where Participants may park in A-2 and 'V' lots as Highway 68 joins Highway 1, turn right at the first indicated on the campus map; permits can be traffic light and then turn right again at the first stop obtained from the guard at the main gate. sign. Drivers coming from the south will probably approach on Highway 68 and should follow the same Travel and Local Information instructions as above. If following the scenic route, Monterey is located 120 miles south of San traveling north on Highway 1 from Carmel, take the Francisco and 350 miles north of Los Angeles. The Aquajito exit (Monterey Peninsula College); turn left weather is usually mild with daytime highs in the at the light, proceed across Fremont Street, turn right 50° F to 60° F range. There is rarely any rain in at the first stop sign, and continue to Sloat Avenue November. and the main gate. The main entrance to the Naval Postgraduate Monterey is served by Golden West Airlines from School is at 3rd Street and Sloat Avenue, which can San Francisco and Los Angeles, as well as United be reached by the following routes. From the north Airlines which also provides service to and from Los on Highway 1, take the Del Monte exit, proceed Angeles. to the second traffic light and turn left. From the

MONTEREY

MOIITERfY PENINSULA AIRPORT

=PAR Kl NG (A-2 and 'V' Lots)

= STREET SIGNALS

667 Program of the Sessions

The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in AMS sessions at this meeting will be found in the November 1982 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Friday, 1:30 p.m. Special Session on Partial Differential Equations and Differential Geometry, I Spanagel, Room 208 1:30- 1:55 (1) Eigenvalue estimates and conformal transformations. Preliminary report. SHIU-YUEN CHENG, University of California, Los Angeles (800-53-41) (Introduced by Peter Li) 2:00- 2:25 (2) Stable minimal surfaces and spatial topology in general relativity. THEODORE FRANKEL*, University of California, San Diego, and GREGORY GALLOWAY, University of Miami (800-83-30) 2:30- 2:55 (3) Flatness of manifolds of fast curvature decay. R. E. GREENE*, University of California, Los Angeles, and H. Wu, University of California, Berkeley (800-53-03) 3:00- 3:25 (4) Gradient estimates for prescribed mean curvature hypersurfaces. Preliminary report. ANDREJS TREIBERGS, Mathematical Sciences Research Institute, Berkeley (800-53-27) 3:30- 3:55 (5) Complete minimal surface of finite total curvature in R 3 . Preliminary report. PAUL YANG, University of Southern California (800-53-40)

Friday, 1:30 p.m. Special Session on Systems Theory, I Spanagel, Room 231 1:30- 1:55 (6) Hopf bifurcation via Volterra series. Y. S. TANG* and L. 0. CHUA, University of California, Berkeley, and A. I. MEES, University of Cambridge, England (800-93-08) (Introduced by Chen-Han Sung) 2:00- 2:25 (7) Noise in chaotic systems. JOHN GUCKENHEIMER, University of California, Santa Cruz (800-93-05) 2:30- 2:55 (8) The linearizability of nonlinear systems by output injection. ARTHUR J. KRENER*, University of California, Davis, and ALBERTO ISIDORI, University of Rome, Italy (800-93-15) 3:00- 3:25 (9) On a class of Co semigroups in control theory. Preliminary report. NHAN LEVAN, University of California, Los Angeles (800-93-12) (Introduced by Chen-Han Sung) 3:30- 3:55 (10) A coprimeness condition in a left distributive ring, II. Preliminary report. RUEY-WEN Lm*, University of Notre Dame, and CHEN-HAN SUNG, University of California, Santa Barbara (800-93-06) 4:00- 4:25 (11) Algorithm models for nondifferentiable optimization. E. POLAK*, University of California, Berkeley, and D. Q. MAYNE, Imperial College, London, England (800-49-19) (Introduced by Chen-Han Sung)

Friday, 1:30 p.m.

Session for Contributed Papers Spanagel, Room 321 1:30- 1:40 (12) Random processes with nonlinear generation of information. MILLU ROSENBLATT-ROTH, California State University, Fullerton (800-60-31) 1:45- 1:55 (13) Excessive elements in harmonic semigroups. MAYNARD ARsovE*, University of Washington, and HEINZ LEUTWILER, Universitat Erlangen-Niirnberg, Federal Republic of Germany (800-31-34) 2:00- 2:10 (14) Cycles of piecewise continuous functions. Preliminary report. GERIANNE M. KRAUSE, San Francisco State University (800-26-32) (Introduced by Abe Sklar) 2:15- 2:25 (15) EP morphisms in categories with factorization. Preliminary report. DONALD W. ROBINSON, Brigham Young University (800-15-33) 2:30- 2:40 (16) An automorphic representation of the modular symbol. Preliminary report. GILBERT C. MAXEY, University of California, Los Angeles (800-22-16) 2:45- 2:55 (17) Totally Lindelof spaces. Preliminary report. MARLENE E. GEWAND, U.S. Naval Academy (800-54-22) 3:00- 3:10 (18) Banach resolution spaces and Ringrose algebras. GARETH J. AsHTON, Texas Tech University (800-93-09) (Introduced by Richard Saeks)

668 3:15- 3:25 (19) Second quantization and generalized eigenvectors of field operators in finite dimensional quantum field theory. Preliminary report. VLADIMIR NARODITSKY, San Jose State University (800-47-25)

Friday, 4:30p.m. AMS Invited Address Ingersoll Hall, Room 122 4:30- 5:30 (20) Curvature and differential equations. RICHARD SCHOEN, University of California, Berkeley (800-53-04)

Friday Evening Social Hour, Banquet, and Special Address Herrmann Hall 5:30- 7:00 Social Hour 7:00- Banquet Rambling through applied mathematics, JOSEPH B. KELLER, Stanford University

Saturday, 8:30p.m. Special Session on Systems Theory, II Ingersoll Hall, Room 260 8:30- 8:55 (21) Classifying shift invariant subspaces and systems design in the frequency domain. J. WILLIAM HELTON, University of California, San Diego (800-47-20) 9:00- 9:25 (22) Statistical signal processing and system theory. THOMAS KAILATH, Stanford University (800-93-17) 9:30- 9:55 (23) A Nyquist criterion for invertibility in a nest algebra. GARETH J. AsHTON and RICHARD SAEKS*, Texas Tech University (800-47-18) 10:00-10:25 (24) Open closed loop approximation of linear systems. Preliminary report. LEONARD M. SILVERMAN, University of Southern California (800-93-21) (Introduced by Chen-Han Sung)

10:30-10:55 (25) On coprime factorizations in linear and nonlinear systems. Preliminary report. CHEN-HAN SUNG, University of California, Santa Barbara (800-93-07)

Saturday, 9:00 a.m. Special Session on Partial Differential Equations and Differential Geometry, II Ingersoll Hall, Room 271 9:00- 9:25 (26) New conformally quasi-invariant operators. THOMAS P. BRANSON, Institute for Advanced Study (800-53-10) 9:30- 9:55 (27) Minimal surfaces in the Heisenberg group. WALTER SEAMAN, Stanford University (800-53-42)

10:00-10:25 (28) The Gauss map for general surfaces. DAVID A. HOFFMAN, Amherst, Massachusetts, and ROBERT 0SSERMAN*, Stanford University (800-53-39)

Saturday, 9:00a.m. Special Session on Algebraic Geometry, I Ingersoll Hall, Room 267 9:00- 9:30 (29) Examples of surfaces of general type with vector fields. WILLIAM E. LANG, University of Minnesota, Minneapolis (800-14-02) 9:40-10:10 (30) Remarks on the slope spectral sequence. Preliminary report. RICHARD CREW, Boston University (800-14-24) 10:20-10:50 (31) Lifted p-adic homology with compact supports of the Weierstrass family and their zeta endomorphisms. Preliminary report. GORO C. KATO, California Polytechnic State University (800-14-14)

Saturday, 10:00 a.m.

SIAM Invited Address Ingersoll Hall, Room 122 10:00-11:00 Engineering data handling systems and solid modeling. PETER C. C. WANG, Naval Postgraduate School

Saturday, 11:00 a.m. AMS Invited Address Ingersoll Hall, Room 122 11:00-12:00 (32) Special divisors on Riemann surfaces. Preliminary report. DAVID GIESEKER, University of California, Los Angeles (800-14-23)

669 Saturday, 1:30 p.m.

SIAM Invited Address Ingersoll Hall, Room 122 1:30- 2:30 Mini-computers with applications in the CAD/CAM area. ALFRED WEAVER, University of Virginia

Saturday, 2:30 p.m.

Special Session on Mathematical Biology Ingersoll Hall, Room 271 2:30- 2:55 (33) Age-dependent population dynamics with nonlinear diffusion. STAVROS BUSENBERG and MIMMO IANNELLI*, Harvey Mudd College (800-35-13) 3:00- 3:25 (34) Oscillatory coexistence of predators in a food chain. JAMES P. KEENER, University of Utah (800-92-26) (Introduced by Frank C. Hoppensteadt) 3:30- 3:55 (35) Flocking and foraging in uncertain environments. MARC MANGEL*, University of California, Davis, and COLIN W. CLARK, University of British Columbia (800-92-01) 4:00- 4:25 (36) Spontaneous formation of spatially periodic thickenings in a mathematically modeled embryonic epithelium. GARRETT M. ODELL, Rensselaer Polytechnic Institute (800-92-38) (Introduced by Frank C. Hoppensteadt) 4:30- 4:55 (37) Multiseasonal management of an agricultural pest. RICHARD E. PLANT, University of California, Davis (800-90-29) 5:00- 5:25 (38) Stochastic models for plasmid copy number. E. SENETA, University of Sydney, Australia, and S. TAVARE*, Colorado State University (800-92-35) (Introduced by Frank C. Hoppensteadt)

Saturday, 2:30p.m.

Special Session on Algebraic Geometry, II Ingersoll Hall, Room 267 2:30- 3:00 (39) Families of abelian varieties arising from quaternion algebras. SUSAN L. ADDINGTON, University of California, Berkeley (800-14-11) 3:10- 3:40 (40) A 5-dimensional analogue of 4-dimensional Jacobians. Preliminary report. ROBERT VARLEY* and ROY SMITH, University of Georgia (800-14-37) (Introduced by Kent Morrison) 3:50- 4:20 (41) The one-motif of homotopy. JAMES A. CARLSON, University of Utah (800-14-28) (Introduced by Hugo Rossi) 4:30- 5:00 (42) Hodge filtration and currents with poles. JAMES R. KING, University of Washington (800-14-36)

Hugo Rossi Salt Lake City, Utah Associate Secretary

Presenters of Papers Numbers following the names indicate the speakers' positions on the program. •Invited one-hour lecturer *Special session speaker

*Addington, S. L., 39 * Guckenheimer, J., 7 *Liu, R.-W., 10 • Schoen, R., 20 Arsove, M., 13 *Helton, J. W., 21 *Mangel, M., 35 *Seaman, W., 27 Ashton, G. J., 18 * Iannelli, M., 33 Maxey, G. C., 16 *Silverman, L. M., 24 *Branson, T. P., 26 *Kailath, T., 22 Naroditsky, V., 19 *Sung, C.-H., 25 *Carlson, J. A., 41 *Kato, G. C., 31 *Odell, G. M., 36 *Tang, Y. S., 6 *Cheng, S.-Y., 1 *Keener, J.P., 34 * Osserman, R., 28 * Tavare, S., 38 *Crew, R., 30 *King, J. R., 42 *Plant, R. E., 37 * Treibergs, A., 4 *Frankel, T., 2 Krause, G. M., 14 *Polak, E., 11 *Varley, R., 40 Gewand, M. E., 17 *Krener, A. J., 8 Robinson, D. W., 15 *Yang, P., 5 • Gieseker, D., 32 *Lang, W. E., 29 Rosenblatt-Roth, M., 12 *Greene, R. E., 3 *Levan, N., 9 * Saeks, R., 23

670 Denver Meetings, January 3-9, 1983 Second Announcement

The January 1983 Joint Mathematics Meetings, includ­ 89TH ANNUAL MEETING OF THE AMS ing the 89th Annual Meeting of the AMS, the 66th Annual Meeting of the Mathematical Association of America, and January 5-8, 1983 the 1982-1983 Annual Meeting of the Association for Symbolic Logic, will be held January 5-9 (Wednesday­ Sunday), 1983, in Denver, Colorado. Sessions of the MAA Fifty-sixth Josiah Willard Gibbs Lecture on Thursday, January 6, and Saturday-Sunday, January The 1983 Gibbs lecture will be presented at 8:30 8-9, will be held jointly with the National Council of p.m. on Wednesday, January 5, by SAMUEL KAR­ Teachers of Mathematics. The meetings will be preceded LIN of Stanford University. Professor Karlin will by the AMS Short Course on January 3-4 (Monday­ speak on models and controversies Tuesday), 1983. Sessions will take place in the Denver Mathematical Convention Complex and the Executive Tower Inn. of evolutionary theory. The members of the Local Arrangements Committee Colloquium Lectures are Nancy S. Angle, Paul T. Bateman (ex-officio), Jerrold W. Bebernes, William S. Dorn, John P. Gill, Jr., Gary There will be a series of four Colloquium Lectures W. Grefsrud, Raymond R. Gutzman, Zenos Hartvigson, presented by CHARLES L. FEFFERMAN of Frieda K. Holley, William J. LeVeque (ex-officio), Arne Princeton University. The title of this lecture Magnus, Richard Osborne, Arlan B. Ramsay (chairman), series is The uncertainty principle. The lectures William N. Reinhardt, David P. Roselle (ex-officio) and will be given at 1:00 p.m. daily, Wednesday through Nancy M. Thompson (publicity director). Saturday, January 5-8. Retiring Presidential Address WHERE TO FIND IT PAGE PREREGISTRATION AND HOUSING 672, 673 ANDREW M. GLEASON of Harvard University speak at a.m. on Wednesday, January 5. ANNUAL MEETING OF THE AMS 671 will 8:45 Gibbs Lecture, Colloquium Lectures, Prizes, Professor Gleason's title is Some remarks on the Invited Addresses, Special Sessions, Contributed prime number theorem. Papers, Council and Business Meetings, etc. AMS SHORT COURSE 674 Birkhoff Prize EMPLOYMENT REGISTER 690 The 1983 George David Birkhoff Prize in Applied ANNUAL MEETING OF THE MAA 677 Mathematics will be awarded at 4:45 p.m. on Business Meeting, Board of Governors, Thursday, January 6. Contributed Papers, Minicourses OTHER ORGANIZATIONS 679 ASL, AWM, NCTM, NSF, RMMC TIMETABLE 681 OTHER EVENTS OF INTEREST 679 Book Sales, Exhibits INFORMATION FOR PARTICIPANTS 679 Hotel Accommodations, Registration at Meetings REGISTRATION DESK SERVICES 684 AMS/MAA Information, Audio-Visual Aid, Assistance, Comments and Complaints, Baggage and Coat Check, Check Cashing, Local Information, Lost and Found, Mail, Personal and Telephone Messages, Tiansparencies, Visual Index MISCELLANEOUS INFORMATION 686 Child Care, Local Information, Parking, Social Event, Travel, ·Weather MAP 682

IMPORTANT DEADLINES AMS Abstracts, For consideration for special seuions Expired Of contributed papers Expired MAA Abstracts, Of contributed papers November 15 Employment Register (Applicants & Employers) November 15 Preregistration and Housing November 15 Preregistration cancellations (50% refund) January 2 Dues credit for nonmembers/students February 9 Samuel Karlin, Gibbs Lecturer

671 Preregistration

Preregistration. Preregistration for these years or more, and is retired on account of age from meetings must be completed by November 15, his or her latest position. 1982. Those wishing to preregister must complete A $4 charge will be imposed for all invoices the form which appears at the back of this issue and prepared when preregistration forms are submitted submit it along with the appropriate preregistration without accompanying check(s) for the preregistra­ fee(s) to the Mathematics Meetings Housing Bureau tion fee(s) or are accompanied by an amount in Providence by November 15. insufficient to cover the total fee(s). Preregistration Preregistration fees do not represent an advance forms received well before the deadline of November deposit for lodgings. One must, however, preregister 15 which are not accompanied by correct payment for the meetings in order to obtain confirmed will be returned to the participant with a request hotel accommodations through the Mathematics for resubmission and full payment. Meetings Housing Bureau, as outlined on the facing A 50 percent refund of the preregistration fee( s) page. will be made for all cancellations received in Checks for preregistration fees should be made Providence no later than January 2, 1983. payable to the AMS. Canadian checks must No refunds will be granted for cancellations be marked for payment in U.S. funds. Those received after that date, or to persons who do who preregister for the AMS Short Course and/or not attend the meetings. Joint Mathematics Meetings pay fees which are The only exception to this rule is someone who 30 percent lower than those who register at the preregisters for the Joint Mathematics Meetings meetings. The preregistration fees are as follows: only in order to attend an MAA Minicourse, and is AMS Short Course too late to obtain a slot in the Minicourse. In this Student/Unemployed $ 5 case, full refunds will be made of the Minicourse All Others $25 and Joint Mathematics Meetings preregistration has cheeked the Joint Mathematics Meetings fees, provided the preregistrant box on the preregistration form that this was Member of AMS, ASL, MAA, NCTM $38 his or her intent. Individuals who preregister for Emeritus Member of AMS, MAA $ 9 both the Joint Meetings and a Minicourse and who Nonmember $58 intend to attend the Joint Meetings, even if the Student/Unemployed $ 9 Minicourse is not available, should, of course, not Employer, Employment Register $50 check the box on the preregistration form. In this Applicant, Employment Register no charge case the Minicourse preregistration fee only will be MAA Minicourses $15 each refunded, and the Joint Meetings preregistration There will be no extra charge for members of processed. the families of registered participants, except that Those who wish to preregister for the Employ­ all professional mathematicians who wish to attend ment Register should read carefully the special sessions must register independently. article titled "Mathematical Sciences Employment All full-time students currently working toward Register" which follows this announcement of the a degree or diploma qualify for the student Denver meetings. The attention of applicants is registration fees, regardless of income. particularly directed to the box on the December The unemployed status refers to any person cur­ Issue of Employment Information in the Mathe­ rently unemployed, actively seeking employment, matical Sciences. and who is not a student. It is not intended to Please read the facing page titled Housing care­ include persons who have voluntarily resigned or fully before completing the preregistration/housing retired from his or her latest position. form. The emeritus status refers to any person who has Do not inelude payment for your housing with been a member of the AMS or MAA for twenty meeting preregistration fee(s).

N.B.: Place your AMS or MAA mailing label on the preregistration/housing form where indicated. If you do not have a label readily available, please supply complete name, address, and AMS or MAA member code.

672 Housing

Mathematics Meetings Housing Bureau. The Reservations will be made in accordance with preregistration/housing form for requesting hotel preferences indicated on the reservation form insofar accommodations will be found at the back of as this is possible. Participants who rank only this issue. Use of the services offered by the a few of the hotels may find themselves assigned Mathematics Meetings Housing Bureau requires to a hotel which is not satisfactory. If not all preregistration for the meetings. Persons desiring hotels are ranked, and all rooms have been filled confirmed hotel accommodations should complete at the ranked hotels, the assignment will be made the form, or a reasonable facsimile, and send it to at an unranked hotel with the next lowest rate. the Mathematics M~:etings Housing Bureau, Post Deposit requirements vary from hotel to hotel, Office Box 6887, Providence, Rhode Island 02940, and participants will be informed of any such so that it will anive no later than November 15, requirements directly by the hotels at the time of 1982. confirmation. N.B.: Participants will receive no Please read carefully the section on Hotel acknowledgement of their housing assignment Accommodations before completing the form. until they receive a confirmation from the hotel. Forms sent to the wrong address and thus incurring Participants who are able to do so are urged delay in delivery to the Housing Bureau until after to share a room whenever possible. This proce­ the deadline cannot be accepted. dure can be economically beneficial. The housing All reservation requests must be received in form should be fully completed to ensure proper writing and be processed through the Housing assignment of rooms. Participants planning to Bureau in Providence. Telephone requests will not share accommodations should provide the name{s) be accepted. Please do not contact the hotels of the person{s) with whom they plan to occupy a directly. Blocks of rooms and special rates have room. Each participant should, however, complete been set aside for the Housing Bureau, and the a separate preregistration form. In order to avoid hotel will either refer you back to the Housing confusion or disappointment, parties planning to Bureau, or give you a room outside of the block, share rooms should send their forms together in the which may be at a higher rate. same envelope. The number of rooms being held by the Denver Please make all changes to or cancellations of hotels at each rate is limited. Housing assignments hotel reservations with the Housing Bureau in are made on a first-come, first-served basis, so Providence before December 20, 1982, by ealling participants desiring low-cost accommodations are 401-272-9500, extension 239. After that date, urged to get their housing requests in as early as changes or cancellations should be made with possible. Participants should also be aware that the Housing Office of the Denver and Colorado the special rates being offered in the section titled Convention and Visitors Bureau by telephoning Hotel Accommodations may not be available after 303-892-1112, extension 73. November 15. Housing requests received alter Please read the facing page titled Preregis­ the deadline of November 15 most surely cannot tration carefully before completing the preregistra­ be honored. tion/housing form. Participants are strongly urged to rank every Do not include payment for your housing with hotel on the housing form in the order of preference, meeting preregistration fee{s). and circle the type of room and the rate desired.

N.B.: Place your AMS or MAA mailing label on the preregistration/housing form where indicated. If you do not have a label readily available, please supply complete name, address, and AMS or MAA member code.

673 American Mathematical Society Short Course Series Computer Communications Denver, Colorado, January 3-4, 1983

The American Mathematical Society, in conjunction with its eighty-ninth annual meeting, will present a one and one-half day short course entitled "Computer Communications" on Monday and Tuesday, January 3 and 4, 1983, in the Symphony Ballroom of the Executive Tower Inn in Denver, Colorado. Computer communication systems are expected to have a profound effect on human communications in the coming decades. Present day computer communications already span an extraordinary range: from the "low level" interaction of circuits on an integrated circuit chip in a typical computer to the "high level" conversations between computers at geographically distant locations. The course is designed to acquaint the participant with mathematical ideas that pervade almost every level of computer communications. The mathematical methods used in this field include stochastic processes, combinatorics, analysis and logic, as well as various aspects of theoretical computer science. Included in the course will be discussions of problems in data communication, complexity of VLSI (Very Large Scale Integrated circuits) computations, modelling concurrent processes, probabilistic aspects of networks, and diffusion approximations. Opportunities will be available for participants to obtain first-hand experience working with the speakers in an interactive session on mathematical problems in computer communications. Synopses of the talks and accompanying reading lists are printed following the announcements of the Denver Mathematics Meetings on pages 580 and 581 in the October issue of the Notices. Participants will be presumed to have background knowledge corresponding to the content of a course in probability theory and introductions to logic and differential equations. Those who hope to benefit the most from the course may wish to acquire a general background on networks, such as presented in the book Computer networks, by A. S. Tanenbaum, Prentice-Hall, New York, 1981. The course will consist of five lectures and an "Overview" presented by the organizer; it will conclude with the interactive session mentioned above. The speakers are B. Gopinath (Bell Laboratories, Murray Hill), J. Michael Harrison (Stanford University), Pierre A. Humblet (Massachusetts Institute of Technology), Frank P. Kelly (Statistical Laboratory, University of Cambridge), Robert P. Kurshan (Bell Laboratories, Murray Hill) and Thomas Lengauer (University of Saarland). The short course is open to all who wish to participate upon payment of the registration fee. There are reduced fees for students and unemployed individuals. Please refer to the sections entitled Preregistration, Housing and Registration at the Meetings for details. The program is under the direction of B. Gopinath of the Bell Laboratories, Murray Hill. The short course was recommended by the Society's Committee on Employment and Educational Policy, whose members are Lida K. Barrett (chairman), Irwin Kra, Robert W. McKelvey, Donald C. Rung, Robert J. Thompson, and Barnet M. Weinstock. The short course series is under the direction of the CEEP Short Course Subcommittee, who members are Stefan A. Burr, Ronald L. Graham (chairman), Robert W. McKelvey, Cathleen S. Morawetz, Barbara L. Osofsky, and Philip D. Straffin, Jr.

674 Invited Addresses By invitation of the Program Committee, there will be seven invited one-hour addresses. The names of the speakers, their affiliations, the titles of the talks, dates and times of presentation follow. MICHAEL AIZENMAN, Rutgers University, Stochastic geometry in quantum field theory and classical statistical mechanics, 2:15 p.m. Friday; BRADLEY EFRON, Stanford University, Math­ ematics, statistics, and the modern computer, 10:15 a.m. Thursday; MICHAEL H. FREEDMAN, University of California, San Diego, The topology of four-dimensional manifolds, 3:30 p.m. Wednesday; DAVID GIESEKER, University of California, Los Angeles, Geometric invariant theory and module problems in algebraic geometry, 3:30 p.m. Friday; BENEDICT H. GROSS, Brown University, Con­ structing rational points of infinite order on elliptic curves, 8:45 a.m. Thursday; ROGER E. HOWE, Yale University, Aspects of harmonic analysis on the Heisenberg group: dual pairs, theta functions, classical invariant theory, 10:15 a.m. Wednesday; and NEIL J. A SLOANE, Bell Laboratories, Murray Hill, The Leech lattice, 2:15 p.m. Wednesday. Special Sessions By invitation of the same committee, there will Charles L. Feft'erman, Colloquium Lecturer be twelve special sessions of selected twenty-minute papers. The titles of these sessions, the names and Krishnaswami Alladi, Ram Prakash Bambah, David affiliations of the mathematicians arranging them, W. Boyd, W. Dale Brownawell, Peter Bundschuh, and tentative lists of speakers are as follows. The W. L. Chen, Thomas W. Cusick, Harold G. Diamond, dates and times they will meet will be announced Heini Halberstam, Grigori Kolesnik, Donald J. Lewis, later. Helmut Maier, Gerald Meyerson, Julia H. Mueller, Proof theory, IRviNG H. ANELLIS, McMaster Charles F. Osgood, Robert C. Vaughan, and Peter University and GREGOREI E. MlNC, Leningrad. Warkentin. Irving H. Annellis, Michael Beeson, Yuri Gurevich, Applied category theory, JOHN W. GRAY, Leon A. Henkin, Gerhardt Jager, James P. Jones, University of Illinois, Urbana-Champaign. Michael Georg Kreisel, Hugues Leblanc, Harry R. Lewis, Barr, Andreas R. Blass, Marta C. Bunge, Michael P. Gregorei E. Mine, Eugene W. Madison, Thomas Fourman, Peter J. Freyd, Peter T. Johnstone, Andre G. McLaughlin, Jonathan P. Seldin, Wilfried Sieg, Joyal, Anders Kock, Joachim Lambek, Dana May Manfred Egon Szabo, Gaisi Takeuti, and Hao Wang. Latch, Michael Makkai, Joan W. Pelletier, Stephen Automatic theorem proving, WOODROW W. Schanuel, Dana S. Scott, Myles Tierney, and Gavin BLEDSOE, University of Texas, Austin. Peter B. Wraith. Andrews, Woodrow W. Bledsoe, Robert Boyer, Dallas Monotonicity methods in differential equations, S. Lankford, Douglas Lenat, Donald W. Loveland, A G. KARTSATOS, and MARY E. PARROTT, John McCarthy, Derek C. Oppen, Patrick Suppes, Center for Applied Mathematics, University of South Hao Wang, Lawrence Wos, and Wen-tsun Wu. Florida. Shair Ahmad, Peter W. Bates, Stephen The Automatic Theorem Proving Prize (sponsored R. Bernfeld, Dennis W. Brewer, John A. Burns, P. by the International Joint Conference on Artificial M. Fitzpatrick, Jerome A. Goldstein, Cahitan P. Intelligence) will be awarded to Hao Wang and Gupta, John R. Haddock, William A. Kirk, Karl K. Lawrence Wos in an informal ceremony which will be Kunisch, Alan C. Lazer, Robert H. Martin, Jr., M. part of this session. Zuhair Nashed, Walter V. Petryshyn, Alexander G. Representation theory of finite groups of Lie Ramm, Samuel M. Rankin III, Simeon Reich, James type, CHARLES W. CURTIS, University of Oregon. T. Sandefur, Jr., C. C. Travis, and James R. Ward, Richard A. Boyce, Leonard Chastkofsky, Edward Jr. T. Cline, James E. Humphreys, Kathy McGovern, Abstract adjoints and boundary problems, Brian J. Parshall, Leonard L. Scott, Jr., Stephen SUNG J. LEE, University of South Florida, and D. Smith, Bhama Srinivasan, Gary M. Seitz, John M. ZUHAIR NASHED, University of Delaware. B. Sullivan, and David B. Surowski. Jonathan M. Borwein, R. C. Brown, Patrick J. Diophantine problems and analytic number Browne, Earl A. Coddington, Lynn H. Erbe, Garret theory, P. D. T. A. ELLIOTT, and WOLFGANG J. Etgen, Karl 'E. Gustafson, Werner Haussmann, M. SCHMIDT, University of Colorado, Boulder. Ismael Herrera, Karl-Heinz Hoffman, Joseph W.

675 Kenneth R. Davidson, Ronald G. Douglas, Edward G. Effros, Ciprian I. Foias, Frank L. Gilfeather, Domingo A. Herrero, Jon E. Kraus, David R. Larson, C. Lauri, Paul S. Muhly, Robert F. Olin, Vern I. Paulsen, Carl M. Pearcy, Marc A. Rieffel, and Claude L. Schochet. History of mathematics, ARTHUR SCHLISSEL, John Jay College of Criminal Justice, City University of New York. The speakers will be announced later .. September 21 was the deadline for submission of abstracts for consideration for inclusion in these special sessions. Contributed Papers There will be sessions for contributed papers Wednesday morning and afternoon, Thursday morn­ ing and afternoon, Friday afternoon, and Saturday afternoon. The deadline for submission of abstracts of contributed papers was October 12. Late papers will not be accepted. Audio-Visual Equipment Rooms where special sessions and contributed paper sessions will be held will be equipped with an overhead projector and screen. Blackboards will not be available.

Andrew M. Gleason, AMS President 1981-1982 Other AMS Sessions Mathematics and Government Jerome, A. G. Kartsatos, Allan M. Krall, Kurt Kreith, V. Lakshmikantham, Sung J. Lee, Lance L. A special address on the support of research in Littlejohn, Warren S. Loud, Thomas R. Lucas, Man­ the mathematical sciences will be given at 2:15 suk Song, Frank W. Stallard, Bjorn 0. B. Textorius, p.m. on Thursday, January 6, by EDWARD A. and Richard S. Varga. KNAPP, Assistant Director for Mathematical and Function-theoretic methods in differential equa­ Physical Sciences at the National Science Foundation. tions, PETER A. McCOY, U. S. Naval Academy. Prior to his appointment by President Reagan, Dr. James L. Buchanan, Charles K. Chui, Robert P. Knapp headed the Accelerator Technology Division Gilbert, Deborah T. Haimo, Ralph E. Kleinman, of the Los Alamos Scientific Laboratory, where he Attila Mate, Peter A. McCoy, M. Zuhair Nashed, was a close associate of the President's Science John W. Neuberger, Paul G. Nevai, G. F. Roach, Advisor, George Keyworth. As someone presently Gilbert G. Walter, and Ahmed I. Zayed. responsible for the funding of basic science and Pseudo-differential operators and applications, intimately familiar with the policies of the Reagan DUONG HONG PHONG, Columbia University. M. administration, Dr. Knapp is in a unique position Salah Baouendi, Steven R. Bell, David W. Catlin, to address members of the mathematical research Ronald R. Coifman, Victor W. Guillemin, Carlos E. community on future prospects for support. Kenig, Joseph J. Kohn, Richard B. Melrose, Linda AMS Committee on Employment P. Rothschild, Elias M. Stein, Michael E. Taylor, and Educational Policy Fran!}ois Treves, Alan D. Weinstein, and Steven M. The Society's Committee on Employment and Zelditch. Educational Policy (CEEP) and the Mathematical Number-theoretic algorithms, CARL B. PoM­ Association of America (MAA) will sponsor a panel ERANCE, University of Georgia. A. 0. L. Atkin, discussion at 4:30 p.m. on Friday, January 7, on Duncan A. Buell, Joseph L. Gerver, Richard K. Freshman mathematics: Are there alternatives to Guy, Jeffrey C. Lagarias, Louis Monier, Andrew calculus? This panel is being organized by IRWIN M. Odlyzko, Paul Pritchard, John L. Selfridge, KRA, SUNY Center at Stony Brook. The speakers Daniel Shanks, Gustavus J. Simmons, Jeffrey W. are PETER D. LAX, Courant Institute, New Smith, Olaf P. Stackelberg, Randy Tuler, Samuel S. York University; ANTHONY RALSTON, SUNY at Wagstaff, Jr., Paul S. Wang, Peter J. Weinberger, Buffalo; R. 0. WELLS, JR., Rice University; and Hugh C. Williams, Marvin C. Wunderlich, and Hans GAIL S. YOUNG, University of Wyoming. J. Zassenhaus. Operator algebras and operator theory, NOR­ Council Meeting BERTO SALINAS, University of Kansas. Charles The Council of the Society will meet at 2:00 p.m. A. Akemann, Wiliam B. Arveson, Charles A. Berger, on Tuesday, January 4 in the Zephyr Room of the John W. Bunce, Man-duen Choi, Lewis A. Coburn, Executive Tower Inn.

676 Business Meeting at the booth for inspection and can be purchased at The Business Meeting of the Society will take place the AMS book sale. immediately following the award of the Birkhoff Prize at 4:45 p.m. on Thursday, January 6. The secretary 66TH ANNUAL MEETING OF THE MAA notes the following resolution of the Council: Each January 6-9, 1983 person who attends a Business Meeting of the Society The Mathematical Association of America shall be willing and able to identify himself as a (MAA) will hold its 66th Annual Meeting on January member of the Society. In further explanation, it is 6 (Thursday) and on January 7-9 (Friday-Sunday). noted that each person who is to vote at a meeting The Business Meeting of the MAA will take place at is thereby identifying himself as and claiming to be 9:30 a.m. on Saturday, January 8, at which the 1983 a member of the American Mathematical Society. Award for Distinguished Service will be presented. For additional information on the Business Meeting, Sessions of the MAA on Thursday, January 6, please refer to the box titled Committee on the and Saturday and Sunday, January 8-9, will be Agenda for Business Meetings. held jointly with the National Council of Teachers of MATHFn..E Mathematics. An online demonstration of MATHFILE, the The MAA Board of Governors will meet at 9:00 computerized version of Mathematical Reviews, can a.m. on Thursday, January 6. be seen in Booth 113 of the exhibit area in the Denver Minicourses Convention Complex, during regular exhibit hours. Two printing terminals and a TV monitor will be The MAA is planning five Minicourses, as follows: connected to the computers of two commercial online Minicourse #1: Introduction to microcomputers vendors who offer MATHFILE. in mathematics instruction is being organized by You are invited to come to the booth, submit a KLAUS E. ELDRIDGE and DONALD 0. NORRIS, literature search and see how quickly and easily the both of Ohio University, and will be given from 8:30 results are obtained with the help of the computer! a.m. to 12:30 p.m. on Thursday, January 6. This MATHFILE is available from vendors BRS Minicourse is intended for novices, and is a repeat (Bibliographic Retrieval Services) in Latham, NY of the very popular course offered in Pittsburgh and DIALOG Information Services in Palo Alto, CA. in August 1981, in Cincinnati in January 1982, The cost is $36-$55/hour on BRS and $55/hour on and in Toronto in August 1982. It will consist DIALOG plus a $6/hour telecommunications charge. of a brief introduction to BASIC, followed by a Most searches can be completed with a few minutes discussion of how computers can be used in a variety of connect time. of courses. The discussion will include traditional The MATHFILE User's Guide, containing all the examples from calculus and differential equations, information necessary for searching, will be available as well as simulation models in liberal arts courses or mathematics education courses. It is planned Committee on the Agenda for Business Meetings that microcomputers will be available for use by the The Society has a Committee on the Agenda for participants. Business Meetings. The purpose is to make Business Minicourse #2: Placement testing is being Meetings orderly and effective. The committee does not have legal or administrative power. It is intended organized by RICHARD H. PROSL of the College that the committee consider what may be called "quasi­ of William and Mary in Virginia, who is Chairman political" motions. The committee has several possible of the MAA Committee on Placement Examinations. courses of action on a proposed motion, including but This Minicourse consists of two sessions which will not restricted to take place from 7:00 p.m. to 10:00 p.m. on Thursday (a) doing nothing; {b) conferring with supporters and opponents to arrive evening, January 6, and Saturday evening, January at a mutually accepted amended version to be circulated 8. The talks included in this course are designed in advance of the meeting; to provide an overview of placement testing, test (c) recommending and planning a format for debate development, and testing-program administration. to suggest to a Business Meeting; These talks will complement workshops on test-item {d) recommending referral to a committee; writing, the establishment of cut-off scores, and the (e) recommending debate followed by referral to a committee. statistical analysis of test data. Participants will There is no mechanism that requires automatic write test items and compose a placement test during submission of a motion to the committee. However, if a the first session of the course. This test will be motion has not been submitted through the committee, administered to a group of students in the Denver it may be thought reasonable by a Business Meeting to refer it rather than to act on it without benefit of the area by personnel from the Air Force Academy. advice of the committee. During the second session, participants will analyze The committee consists of Everett Pitcher (chairman), data generated by this administration of their test. Marian B. Pour-El, David A. Sanchez, and Guido L. James Braswell of the Educational Testing Service Weiss. staff and Hope Florence of the College of Charleston In order that a motion for the Business Meeting of January 6, 1983 receive the service offered by the will join the members of the MAA's Committee on committee in the most effective manner, it should be in Placement Examinations to conduct the course. the hands of the secretary by December 6, 1982. Minicourse #3: Introducing statistical topics in Everett Pitcher, Secretary existing mathematics courses is being organized by

677 RICHARD WALKER of Mansfield State College, should be indieated by eheeking the appropriate and will be given from 8:30 a.m. to 12:30 p.m. on box on the preregistration form. Then, if Friday, January 7. Probability and statistics are very the minicourse is full, full refunds ean be important areas within the mathematical sciences; made of the Minicourse and Joint Mathematics however, many students of mathematics, both majors Meetings preregistration fees. Otherwise, the and nonmajors, have little or no exposure to these Joint Meetings preregistration will be processed, subjects. The purpose of this Minicourse is to and then be subject to the 50 percent refund rule. suggest some ways in which topics from probability The Minicourses have separate registration fees of and statistics, particularly from the latter, can be $15 each, and are limited to 30 participants each. introduced into existing mathematics courses. In this Other MAA Sessions manner more of our students can be exposed to these JOHN L. VAN lWAARDEN of Hope College important areas. Suggestions will be presented on will run a workshop on High level languages­ how one might introduce statistical thinking in both why PASCAL? at 7:00 p.m. on Friday, January 7. lower division and upper division courses. Resource The present mathematical literature abounds with materials, including some UMAP modules, will be references to the high level language PASCAL. As this provided. language continues to gain prominence in scientific Minicourse #4: An introduction to the mathe­ circles, it seems quite necessary that mathematicians matical foundations of computer graphics is being acquaint themselves with its unique properties. This organized by GERALD J. PORTER of the University workshop will provide an opportunity for anyone with of Pennsylvania, and will be given from 1:00 to 5:00 a working knowledge of one other language to see p.m. on Friday, January 7. This Minicourse will be a the special structures built into PASCAL by Niklaus short survey of the mathematics necessary to create Wirth. These features make it a teachable language pictures on a graphical display device (e.g. Apple and the flexibility of its data structures make it very computer, Tektronix storage tube, VT100 terminal versatile. with retrographics). Knowledge of a structured lan­ The MAA Section Officers will hold an informal guage such as PASCAL would be helpful. Among the meeting at 4:00p.m. on Friday, January 7. topics discussed will be virtual and device coordinate The MAA Committee on Corporate Members systems, homogeneous coordinates, coordinate trans­ will sponsor an evening session on Mathematics formations, data structures for pictures, clipping, publishing, copyright, and software, at 7:00 p.m. splines, b-splines, two-dimensional representations of on Friday, January 7. Speakers will include JERRY three-dimensional objects, and hidden line removal. LYONS (presider), PWS Publishers; RICHARD The emphasis will be on pictures useful in the MOYNIHAN, the Mitre Corporation; CAROL teaching of mathematics. Apple computers will be RISCHER, Association of American Publishers; and available for demonstrations. ROBERT RUNCK, D. C. Heath and Company. Minicourse #5: Uses of computers in under­ At 7:00p.m. on Thursday, January 6, there will be graduate mathematics instruction is being or­ a panel discussion on Please, professor, let's work ganized by DAVID A. SMITH of Duke University together on this! (A dialog between secondary and who is Series Editor in Mathematics for CONDUIT. collegiate mathematics). Speakers are William E. This Minicourse will take place from 8:30 a.m. to Briggs, John H. Hodges, Ruth Rebekka Struik, (all 12:30 p.m. on Saturday, January 8. A repeat of the from the University of Colorado), and Roe Willis. course will be scheduled from 1:00 p.m. to 5:00 p.m. MAA Contributed Papers on Saturday, if the demand so warrants. This Mini­ The MAA will also schedule sessions for con­ course is a workshop intended for college teachers. tributed papers on Friday afternoon, January 7, Uses of existing microcomputer software to enhance and Saturday morning and afternoon, January 8. instruction in full courses in the undergraduate math­ Papers are being accepted on two topics in collegiate ematics curriculum will be demonstrated, including mathematics for presentation in contributed paper softwa,n:l for use in single- and multi-variable calculus, sessions at Denver. The topics and the session leaders differential equations, and topics at the lower division are: college level. Presentations/demonstrations will be (1) The use of computers in undergraduate math­ given by mathematicians who have developed the ematics instruction, RONALD H. WENGER, software and have had extensive experience with its University of Delaware. use in their courses. It is planned for participants (2) Discrete mathematics in the lower division to have the opportunity to work with the software curriculum, ANTHONY RALSON, SUNY at themselves on microcomputers. Speakers will include Buffalo. The focus of this session will be on the DAVID A. SMITH, and AUSTIN R. BROWN, JR., importance of discrete mathematics in the lower Colorado School of Mines. division undergraduate mathematics curriculum. The Minicourses are open only to persons wlio Papers are being solicited particularly on: have registered for the Joint Mathematics Meetings Specific curriculum issues related to discrete and paid both the Joint Meetings registration fee mathematics; and the Minicourse registration fee. H' the only more general considerations concerning the im­ reason for registering for the Joint Meetings portance of discrete mathematics in the under­ is to gain admission to a Minicourse, this graduate mathematics curriculum;

678 discrete mathematics topics of interest in the in applying perturbation techniques to seismic inverse lower division curriculum. problems. Burridge will give a brief exposition of Presentations will normally be limited to ten the underlying continuum mechanics, seismic wave minutes, although selected contributors may be given theory (including ray theory), and inverse problems. up to thirty minutes. Lamer will describe the collection and interpretation Individuals wishing to submit papers for any of of seismic data. Industrial practice is dominated by these sessions at Denver should send the following consideration of noise and other imperfections of the information to the MAA'S Washington Office (1529 data, and -by the huge scale of the computations Eighteenth Street, N.W., Washington, D.C. 20036) necessary to manipulate and analyze it. before November 15, 1982. The RMMC Board of Directors will meet at 2:00 1. Title p.m. on Thursday, January 6. 2. Intended session WILLIAM G. ROSEN, Head of the Mathematical Sciences Section of the National Seienee Foundation 3. A one-paragraph abstract (for distribution at (NSF) will speak at 3:30p.m. on Thursday, January 6, the meeting) on the Annual report from the NSF's Mathematical 4. A one-page outline of the presentation Sciences Section. 5. A list of special equipment required for the The NSF will again be represented at a booth in presentation (e.g. computer, movie projector, the exhibit area. NSF staff members will be available videotape player). to provide counsel and information on NSF programs This information will be sent to session leaders of interest to mathematicians from 9:00 a.m. to 5:00 who will arrange for refereeing. Selection of papers p.m., Thursday and Friday, January 6-7. will be announced by December 15. For a more detailed listing of the activities of the OTHER EVENTS OF INTEREST MAA, see the Timetable. Book Sales ACTMTIES OF OTHER ORGANIZATIONS Books published by the AMS and MAA will be sold for cash prices somewhat below the usual The Association for Symbolic Logie (ASL) will prices when these same books are sold by mail. hold its 1982-1983 Annual Meeting on Saturday and These discounts will be available only to registered Sunday, January 8-9. In addition to contributed participants wearing the official meeting badge. VISA papers, there will be several invited talks, including, and MASTERCARD credit cards will be accepted so far, T. CARLSON, D. A. MARTIN, M. RUBIN, for book sale purchases at the meeting. The book and S. TODORCEVIC. Note the related AMS special sales will be open the same days and hours as the sessions on Proof theory and Automatic theorem Joint Mathematics Meetings registration desk (except proving. on Saturday, January 8, when they will close at 2:00 The Association for Women in Mathematics p.m.) and are located in the Arena of the Denver (AWM) will sponsor a Panel Discussion concerning Convention Complex. computers at 11:15 mathematicians' uses of home Exhibits a.m. on Thursday, January 6, to be immediately followed by the AWM Business Meeting. The fourth The book and educational media exhibits are annual AWM Emmy Noether Lecture will be given at located in the Arena of the Denver Convention 3:30 p.m. on Thursday, January 6, by CATHLEEN Complex and will be open Wednesday, January 5, S. MORAWETZ. The title is How do pertubations through Saturday, January 8. The exhibits will be of the wave equation behave? A party is being open from 1:00 p.m. to 5:00 p.m. on Wednesday; from planned for Thursday evening, January 6. 9:00 a.m. to 5:00 p.m. on Thursday and Friday; and All participants The Rocky Mountain Mathematics Consortium from 9:00 a.m. to noon on Saturday. are encouraged to visit the exhibits during the (RMMC) will sponsor a symposium on Mathematics visiting the exhibits will be and seismic prospecting at 2:15 p.m. on Friday, meeting. Participants asked to display their meeting badge in order to January 7. The symposium has been organized enter the exhibit area. and will be moderated by A. DUANE PORTER of the University of Wyoming. Speakers are NOR­ MAN BLEISTEIN, University of Denver; ROBERT INFORMATION FOR PARTICIPANTS BURRIDGE, Courant Institute of the Mathematical Sciences, New York University; and KENNETH Hotel Accommodations LARNER, Western Geophysical, Houston. The The rates listed below are subject to a 8.5 percent speakers will give an overview of current mathe­ city hotel tax. The number after the name of the matical problems arising in seismic prospecting and hotel is the number it carries on the map. The current methods of attacking them by scientists in estimated walking distance from the hotel to the academia and in industry. These problems fall into Denver Convention Complex is given in parentheses the general category of inverse wave scattering, but following the telephone number. solution of the corresponding direct problems may In all cases "single" refers to one person in one bed; form an ingredient in solving the inverse problem. "double" refers to two persons in one bed; "twin" Bleistein will describe some recent work of his group refers to two persons in two single beds; and "twin

679 double" refers to two persons in two double beds. Plua Cosmopolitan Hotel (7) A rollaway cot for an extra person can be added to 1780 Broadway double or twin rooms only; however, not all hotels Denver, Colorado 80202 Telephone: 303-861-9000 (14 minutes) are willing to do so. Please make all changes or cancellations of hotel Singles $48 to Doubles $60 reservations with the Housing Bureau in Providence before December 20, 1982. The telephone number Quality Inn Central (9) 2601 Zuni Street, 1-25 at Speer Boulevard (Exit 212B} in Providence is 401-272-9500 (extension 239). After Denver, Colorado 80211 that date, changes or cancellations should be made Telephone: 303-433-6677 (*) with the Housing Office of the Denver & Colorado Singles $37 Convention & Visitors Bureau by telephoning 303- Doubles $42 892-1112 (extension 73). Twin Doubles $42 Brown Palace Hotel (4) Triples $47 321 17th Street Quads $52 Denver, Colorado 80202 *Not within walking distance, but shuttle service will Telephone: 303-825-3111 (12 minutes) be provided by the hotel at no charge. Singles $70 Twin Doubles $80 Student/Unemployed Housing Triples $90 We have been able to reserve a very limited number Quads $90 of rooms in the Standish Hotel, 1530 California Street, Exeeutive Tower Inn (2) for use by students and unemployed participants. 1405 Curtis Street The Standish is about a seven-minute walk to the Denver, Colorado 80202 Convention Complex. Telephone: 303-571-0300 (adjacent) Singles $49 Since all rooms contain either two twin beds or Doubles $59 one or two double beds, it has been requested that Twin Doubles $59 two persons share a room for maximum occupancy, Triples $64 if possible. The rates for these rooms with private Quads $69 bath are as follows: Governors Court Hotel (8) Singles $20 1776 Grant Street Doubles $24 Denver, Colorado 80203 Telephone: 303-861-2000 (20 minutes) In addition, a very limited number of rooms, each containing a sink, but with shared baths down the Singles $50, $65 Doubles $60, $75 hall, are available at the single rate of $14 per day. Twin Doubles $60, $75 In all cases, a deposit equivalent to one night's Triples $70, $85 lodging will be required. This deposit must be Quads $80, $95 included with the preregistration fee(s). Please The Denver Hilton (3} note that, since the number of these low-cost (Employment Register Location) accommodations is limited, it is likely that these Fifteen Fifty Court Place rooms will be fllled when your form is received Denver, Colorado 80202 in Providence, so please indicate at least five Telephone: 303-893-3333 (11 minutes) additional choices in the housing section of the • Singles $55@:_j• preregistration/housing form to ensure that a (.Doubles $65 Twin Doubles $65 confirmed hotel reservation will be made for you. Triples $75 N.B.: Only participants who qualify as students or Quads $85 unemployed as defined on the preregistration/housing Holiday Inn Denver Downtown (5) form will be given these rooms. 15th and Glenarm Place Registration at the Meetings Denver, Colorado 80202 Telephone: 303-573-1450 (8 minutes) Meeting preregistration and registration fees only Singles $50 partially cover expenses of holding meetings. All Doubles $62 mathematicians who wish to attend sessions are Twin Doubles $62 expected to register, and should be prepared to Triples $74 show their meeting badge, if so requested. The fees Quads $86 for Joint Meeting registration at the meeting (listed Denver Marriott-City Center (6) below) are 30 percent more than the preregistration 1701 California Street Denver, Colorado 80202 fees. Telephone: 303-825-1300 (10 minutes) Joint Mathematics Meetings Singles $55 Doubles $65 Member of AMS, MAA $49 Twin Doubles $65 Emeritus Member of AMS, MAA $12 Triples $75 Nonmember $75 Quad $85 Student/Unemployed $12

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

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

MONDAY, January 3 COMPUTER COMMUNICATIONS

9:00 a.m. - 4:00 p.m. REGISTRATION 2:00 p.m. - 3:15 p.m. Overview B. Gopinath 3:30 p.m. - 4:45 p.m. Introduction to data communication Pierre A. Humblet

TUESDAY, January 4

8:00a.m. - 2:00 p.m. REGISTRATION 9:00a.m. - 10:15 a.m. The complexity of VLSI computations Thomas Lengauer 10:30 a.m. - 11:45 a.m. Modelling concurrent processes Robert P. Kurshan 1:30 p.m. - 2:45 p.m. Probabilistic aspects of networks Frank P. Kelly 3:00p.m. - 4:15 p.m. Diffusion approximations for queuing networks J. Michael Harrison 4:15p.m. - 5:00 p.m. Interactive session

JOINT MATHEMATICS MEETINGS TUESDAY, January 4 American Mathematical Society Mathematical Association of America 2:00p.m. - 10:00 p.m. COUNCIL Il'lEE TING I 4:00 p.m. - 8:00 p.m. REGISTRATION 4:00 p.m. - 8:00 p.m. AMS BOOK SALE MAA BOOK SALE

WEDNESDAY, January 5 AMS MAA

8:00 a.m. - 5:00 p.m. REGISTRATION 8:00 a.m. - 5:00 p.m. AMS BOOK SALE llVIAA BOOK SALE morning Special Sessions Sessions for Contributed Papers 8:45 a.m. - 9:45 a.m. RETIRING PRESIDENTIAL ADDRESS I Some remarks on the prime number theorem Andrew M. Gleason 10:15 a.m. - 11:15 a.m. INVITED ADDRESS I Aspects of harmonic analysis on the Heisenberg group: Dual pairs, theta functions, classical invariant theory Roger E. Howe 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE I The uncertainty principle Charles L. Fefferman 1:00 p.m. - 5:00 p.m. EXHIBITS afternoon Special Sessions Sessions for Contributed Papers 2:15p.m. - 3:15 p.m. INVITED ADDRESS The Leech lattice Neil J. A. Sloane 3:30 p.m. - 4:30 p.m. INVITED ADDRESS The topology of four-dimensional manifolds Michael H. Freedman 8:30 p.m. - 9:30 p.m. JOSIAH WILLARD GIBBS LECTURE Mathematical models and controversies of evolutionary theory Samuel Karlin

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1 Denver Convention Complex 5 Holiday Inn Denver Downtown 9 Quality Inn Central 2 Executive Tower Inn 6 Denver Marriott-City Center 10 Standish Hotel 3 Denver Hilton Hotel 7 Plaza Cosmopolitan 4 Brown Palace Hotel 8 Governors Court Hotel Scale: 3% inches = I mile TIMETABlE Mathematical Association of America THURSDAY, January 6 American Mathematical Society and other Organizations 8:00 a, m. - 4:00 p.m. REGISTRATION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE MAA BOOK SALE morning Special Sessions Sessions for Contributed Papers 8:30 a, m. - 12:30 p.m. Mathematical Association of America Minicourse #1 on Introduction to micro­ computers in mathematics instruction K!aus E. Eldridge Donald 0. Norris 8:45 a, m. - 9:45 a.m. INVITED ADDRESS Constructing rational points of infinite order on elliptic curves Benedict H. Gross 1 9:00 a.m. - 9:30 a.m. EMPLOYMENT REGISTER ORIENTATION SESSION 9:00 a.m. - 4:00 p.m. IMAA - BOARD OF GOVERNORS MEETING 9:00 a.m. - 5:00 p.m. EXHIBITS 9:30 a.m. - 4:00 p.m. EMPLOYMENT REGISTER REGISTRATION 10:15 a.m. - 11:15 a.m. INVITED ADDRESS I Mathematics, statistics, and the modern computer Bradley Efron 11:15 a.m. - 12:15 p.m. Association for Women in Mathematics Panel Discussion 12:15 p.m. - 12:55 p.m. AWM - Busines.s Meeting 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE II The uncertainty principle Charles L. Fefferman afternoon Special Sessions Sessions for Contributed Papers 2:00 p.m. - 4:00 p.m. Rocky Mountain Mathematics Consortium Board of Directors Meeting 2:15 p.m. - 3:15 p.m. SPECIAL INVITED ADDRESS Mathematics and government Edward A. Knapp 3:30 p.m. - 4:30 p.m. AWM- EMMY NOETHER LECTURE How do perturbations of the wave equation behave ? Cathleen S. Morawetz 3:30 p.m. - 4:30 p.m. Annual Report from the NSF's Mathematical Sciences Section William G. Rosen, NSF 4:45 p.m. - 6:15 p.m. PRIZE SESSION AND BUSINESS MEETING 6:30p.m. AWM - Open Reception 7:00 p.m. - 9:00 p.m. MAA - PANEL DISCUSSION Please, professor, let's work together on this ! (A dialog between secondary and collegiate mathematics) William E. Briggs John H. Hodges Ruth Rebekka Struik Roe Willis 7:00 p.m. - 10:00 p.m. MAA - Minicourse on Placement Itesting (Part I) Richard H. Prosl

FRIDAY, January 7 AMS MAA and Other Organizations

8:00 a.m. - 4:00 p.m. REGISTRATION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE MAA BOOK SALE 8:30 a.m. - 9:20 a.m. MAA- INVITED ADDRESS Nonassociative algebras, the first 101 years Marvin L. Tomber 8:30 a.m. - 12:30 p.m. MAA - Minicourse #3 on Introducing statisti­ cal topics in existing mathematics courses Richard Walker

683 Employment Register Assistance and Information Desk Employer $75 Outside Arena, Denver Convention Complex Applicant No charge Sunday, January 9 8:30 a.m. to noon AMS Short Course Please note that the Joint Mathematics Meetings Student/Unemployed $10 registration desk will not be open on Sunday, All Other Participants $30 January 9, and that the telephone message center One-day Fee (Second Day Only) $15 will not be in operation. Other services provided MAA Minicourse during the meeting at the registration desk will All Participants $15 also no longer be available (see section below on Registration Desk Services). There will, however, be Registration fees may be paid at the meetings in a small desk set up outside the Arena in the Denver cP.sh, by personal or travelers' checks, or by VISA Convention Complex, where local information will or MASTERCARD credit cards. Canadian checks be available and where a staff member will provide must be marked for payment in U.S. funds. limited assistance to participants. No registration or There is no extra charge for members of the families cash transactions will be possible at this desk. of registered participants, except that all professional mathematicians who wish to attend sessions must REGISTRATION DESK SERVICES register independently. All full-time students currently working toward a AMS /MAA Information degree or diploma qualify for the student registration Information on the publications and activities of fees, regardless of income. both organizations may be obtained at this section of The unemployed status refers to any person the registration desk. currently unemployed, actively seeking employment, Assistance, Comments and Complaints and who is not a student. It is not intended to include persons who have voluntarily resigned or retired from A log for registering participants' comments or their latest position. complaints about the meeting is kept at the Trans­ Persons who qualify for emeritus membership in parencies section of the registration desk. All either the Society or the Association may register at participants are encouraged to use this method of the emeritus member rate. The emeritus status refers helping to improve future meetings. Comments on all to any person who has been a member of the AMS phases of the meeting are welcome. If a written reply or MAA for twenty years or more, and is retired on is desired, participants should furnish their name and account of age from his or her latest position. address. Nonmembers who register at the meetings and Participants with problems of an immediate nature pay the $75 nonmember registration fee are entitled requiring action at the meeting should see the meeting to a discount of the difference between the member manager, who will try to assist them. registration fee of $49 and the nonmember registration Audio-Visual Aid fee of $75 as a $26 credit against dues in either the A member of the AMS /MAA staff will be available AMS or MAA or both, provided they apply for on their audio­ membership before February 9, 1983. to advise or consult with speakers visual requirements. Nonmember students who register at the meetings and pay the $12 registration fee are entitled to Baggage and Coat Check a discount of the difference between the student Information on checking facilities will appear in a preregistration fee of $9 and the registration fee of later issue. $12 as a $3 credit against dues in either the AMS or MAA or both, provided they apply for membership Check Cashing before February 9, 1983. The meeting cashier will cash personal or travelers' Nonmembers and nonmember students who thus checks up to $50, upon presentation of the official qualify may apply for membership at the meetings, meeting registration badge, provided there is enough or by mail afterwards up to the deadline. cash on hand. Canadian checks must be marked for Registration Dates and Times payment in U.S. funds. AMS Short Course Local Information Promenade Foyer, Executive Tower Inn This section of the desk will be staffed by members Monday, January 3 9:00 a.m. to 4:00 p.m. of the Local Arrangements Committee and other Tuesday, January 4 8:00 a.m. to 2:00 p.m. volunteers from the Denver mathematical community. Joint Mathematics Meetings Lost and Found [and MAA Minicourse (until filled)] See the meeting cashier. Arena, Denver Convention Complex Tuesday, January 4 4:00 p.m. to 8:00 p.m. Mail Wednesday, January 5 8:00 a.m. to 5:00 p.m. All mail and telegrams for persons attending the Thursday, January 6, meetings should be addressed to the participant, through 8:00 a.m. to 4:00 p.m. Joint Mathematics Meetings, c/o Denver & Colorado Saturday, January 8 Convention & Visitors Bureau, 225 West Colfax

684 TIMETABLE Mathematical Association of America FRIDAY, January 7 American Mathematical Society and Other Or anizations 9:00 a.m. - 5:00 p.m. EXHIBITS 9:00a.m. EMPLOYMENT REGISTER DISTRIBUTION OF SCHEDULES 9:30 a.m. - 10:20 a.m. 1\V\A- INVITED ADDRESS Geometric structures for 3-man!folds with symmetry William P. Thurston 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 10:30 a.m. - 11:20 a.m. IJ.VV\A- INVITED ADDRESS How to throw small matrices away, or, just what did Brown, Douglas, and Fillmore do in 1973? Paul R. Halmos 11:30 a.m. - 12:20 p.m. J.VV\A - INVITED ADDRESS Nerve conduction and cardiac fibers: Some qualitative problems in differential equations Jane Cronin Scanlon 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE III The uncertainty principle Charles L. Fefferman afternoon Special Sessions Sessions for Contributed Papers afternoon MAA - Contributed Papers 1:00 p.m. - 5:00 p.m. MAA - Minicourse #4 on An introduction to the mathematical foundations of computer graphics Gerald J. Porter 2:15 p.m. - 3:15 p.m. INVITED ADDRESS Stochastic geometry in quantum field theor and classical statistical mechanics Michael Aizenman 2:15 p.m. - 5:15 p.m. RMMC - Symposium on Mathematics and seismic prospecting Norman Bleistein Robert Burridge Kenneth Larner A. Duane Porter (moderator) 3:30 p.m. - 4:30 p.m. INVITED ADDRESS Geometric invariant theory and module problems in algebraic geometry David Gieseker 4:00 p.m. - 6:00 p.m. MAA - Section Officers Informal Meeting 4:30 p.m. - 6:00 p.m. AMS CEEP/MAA- PANEL DISCUSSION Freshman mathematics: Are there alternatives to calculus ? Irwin Kra (organizer) Peter D. Lax Anthony R. Ralston R. 0, Wells, Jr. Gail S. Young 6:30p.m. NO-HOST COCKTAIL PARTY 7:00 p.m. - 9:00 p.m. MAA - Committee on Corporate Members Session on Mathematics publishing, copyright, and software Jerry Lyons (presider) Richard Moynihan Carol Rischer Robert Runck 7:00p.m. - 9:30 p.m. MAA - WORKSHOP High level languages-why PASCAL? John L. Van Iwaarden 8:00 p.m. - 11:00 p.m. Association for Symbolic Logic Council Meeting

685 The Denver Meetings Travel Hotline - Call 800-556-6882 In Rhode Island and outside the continental U.S. call 401-884-9500 or Telex 952165 CONVENIENCE, SAVINGS, Th1MEDIATE CONFIRMATION ON AIRLINE ARRANGEMENTS Hours of Operation: 9 a.m.-8 p.m. Eastern Time Monday through Thursday, Fridays until 6 p.m. Another Member Service to Assist You if You're Attending the Denver Meetings and Use a Major Credit Card One free call answers all your travel questions and supplies you with all your needs, including reduced-rate airline arrangements. Meeting preregistration can only be done through the Mathematics Meetings Housing Bureau, which can not be reached through this 800 number. THE SUPERSERVICE: Discount travel arrangements, including special fare check service. - Whenever possible savings up to 55 percent. - Guaranteed lowest possible airfare for your itinerary. - Comparison of individual travel plans to discounted fares. - Unbiased selection of airlines so the best arrangements can be made. - Fare check: A special review 30 days prior to your trip and again 15 days prior to insure that you are getting the lowest available airline fare. You will be automatically reticketed if fares drop below your original ticket cost. - Ground transfers. THE NECESSITIES: - You must use VISA, MASTERCARD or AMERICAN EXPRESS to utilize the travel hotline. Please have your card number and expiration date ready when you call. - Remember, you can use this convenient service to purchase your airline tickets and ground transfers. THE GUARANTEE: The lowest fares, immediate confirmation and individualized personal service. If you have any questions regarding this service, call the Denver Meetings Travel Hotline - 800-556-6882

Avenue, Denver, Colorado 80202. Mail and telegrams Visual Index so addressed may be picked up at the mailbox in the An alphabetical list of registered participants, registration area during the hours the registration including local addresses and arrival and departure desk is open. U.S. mail not picked up will be dates, is maintained in the registration area. forwarded after the meeting to the mailing address given on the participant's registration record. MISCELLANEOUS INFORMATION Personal Messages Child Care Participants wishing to exchange messages during Nanny's Hotel Babysitting, Inc., offers a profes­ the meeting should use the mailbox mentioned above. sional babysitting service in the safety of your hotel Message pads and pencils are provided. It is room. Many of the babysitters are older parents who regretted that such messages left in the box cannot have already raised a family of their own. Day or be forwarded to participants after the meeting is evening service is available. Please notify them as far over. in advance as possible. For more information, call Telephone Messages 303-696-7855. The Brown Palace and the Hilton will arrange for babysitters if given enough prior notice. A telephone message center is located in the registration area to receive incoming calls for Loeallnfonnation participants. The center is open from January Taxis presently cost $2.05 for the first mile and 5 through 8 only, during the hours that the Joint 90 cents each additional mile, one passenger. Each Mathematics Meetings registration desk is open. additional person is charged 40 cents extra, as long Messages will be taken and the name of any individual as they go from the same pickup point to the same for whom a message has been received will be posted destination. The Regional Transit District (RTD) until the message has been picked up at the message operates buses throughout the area. Buses making center. The telephone number of the message center local stops charge a flat fee of 70 cents during peak will be announced in the January issue of the Notices. hours (6:00 a.m. to 9:00 a_m. and 3:00 p.m. to 6:00 p.m., Monday through Friday), or 35 cents all other Transparencies hours Monday through Friday, all day Saturday and Speakers wishing to prepare transparencies in Sunday. Express buses charge $1-1.50 within town. advance of their talk will find the necessary A section of 16th Street has been turned into materials and copying machines at this section of a pedestrian mall, with free transportation up and the registration desk. A member of the staff will down its length. Participants staying at the Hilton assist and advise speakers on the best procedures and will find it convenient to utilize this transportation as methods for preparation of their material. There is far as Champa Street, which is only two blocks away a modest charge for these materials. Please note from the Convention Complex. that this service will not be available on Sunday, Denver has an Art Museum, a Natural History January 9. Museum (including a Planetarium), an Arboretum,

686 TIMETABLE MRthematical Association of America SATURDAY, January 8 AMS and Other Organizations 8:00 a.m. - 4:00 p.m. REGISTRATION 8:00 a. m, - 2:00 p.m. AMS BOOK SALE MAA BOOK SALE 8:30 a, m. - 9:20 a, m. MAA- INVITED ADDRESS A systematic method for teaching mathematical proofs Daniel Solow 8:30 a, m. - 12:30 p.m. MAA - Minicourse #5 on Uses of computers in undergraduate mathematics instruction David A. Smith 9:00 a.m. EMPLOYMENT REGISTER DISTRIBUTION OF SCHEDULES 9:00 a.m. - noon EXHIBITS 9:30 a.m. - 10:20 a.m. I MAA- BUSINESS MEETING 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 10:30 a.m. - 11:20 a.m. MAA - INVITED ADDRESS Mathematical modeling in petroleum reservoir simulation Richard E. Ewing 11:30 a.m. - 12:20 p.m. MAA - INVITED ADDRESS Homoclinic bifurcation and phase transition in time discrete dynamical systems (With computer pictures) Heinz-Otto Peitgen morning and afternoon MAA - Contributed Papers morning and afternoon ASL - Sessions 1:00 p.m. - 2:00 p.m. COLLOQUIUM LECTURE IV The uncertainty principle Charles L. Fefferman afternoon Special Sessions Sessions for Contributed Papers 1:00 p.m. - 5:00 p.m. MAA - Minicourse #5 on Uses of computers in undergraduate mathematics instruction (tentative) David A. Smith 5:30 p.m. - 7:00 p.m. ASL - Reception 7:00 p.m. - 10:00 p.m. MAA - Minicourse #2 on Placement testing (Part II) Richard H. Prosl 8:00 p.m. - 11:00 p.m. ASL - Council Meeting

Mathematical Association of America AMS SUNDAY, January 9 and Other Organizations 8:30 a.m. - noon ASSISTANCE & INFORMATION DESK morning and afternoon ASL - Sessions 8:30 a.m. - 9:20 a.m. MAA - INVITED ADDRESS VisiCalc and mathematical algorithms: Mathematical applications of an electronic spreadsheet Deane E. Arganbright 9:30 a.m. - 10:20 a.m. MAA - INVITED ADDRESS Applications in the undergraduate curriculum Solomon A. Garfunkel 10:30 a.m. - 11:20 a.m. MAA- INVITED ADDRESS The role of microcomputers in the mathematics curriculum Ruth Hoffman 11:30 a.m. - 12:20 p.m. MAA - INVITED ADDRESS Progress report of the National Science Board Commission on Pre-College Preparation in Mathematics Katherine P. Layton

687 the State Capitol building (with a gold dome), the reservations. This experiment will be evaluated in Denver Mint, and historical features such as the order to determine whether it can provide a useful Molly Brown House. The nearest ski areas are over service for members. an hour away by automobile. Further information The airport in Denver is approximately five miles will be available at the Local Information section of from downtown, and the trip takes about fifteen the registration desk. minutes. The airport limousine stopping at the Parking downtown hotels runs every 20 minutes from 6:30 a.m. until 10:30 p.m. daily. Present cost is $4 per Those coming by car are advised to stay at either person. A taxi from the airport to a downtown hotel the Holiday Inn (which is within walking distance costs $8.55 plus 40 cents for each additional passenger from the Convention Complex and provides free one way. There is good bus service provided by the Inn (which parking for registered guests), the Quality Regional Transit District (RTD) on buses #28, #32, and a shuttle has free parking for registered guests and #38 from the airport to downtown, with the fare service to the Convention Complex), or the Executive varying between 35 cents and 70 cents, depending Tower Inn (which is adjacent to the Convention on the hour of day. Most major car rental agencies Complex and has parking facilities for registered maintain desks at the airport. guests costing $3 per day, either onsite or across the AMTRAK'S San Francisco Zephyr provides train street, in and out privileges included). In addition service between Denver and Chicago and between hotels provide for parking for registered the following Denver and the major west coast cities. The Denver guests: Rio Grande Western Railroad operates a day train Marriott-$10/day, including in/out. between Salt Lake City and Denver three days per Governors Court-$3.50/day in area. week; in fact this is the only nonAMTRAK intercity Plaza Cosmopolitan-$4.50/24 hours, including train still running in the United States. in/out. Denver can be reached by car via I-70 from the Hilton-$8.50-$10/day, underground. east and west, and via I-25 from the north and south. Those driving in for the day may park in the Weather garage adjacent to the Convention Complex at a cost of about $5 per day. Denver is located on the eastern slope of the Rocky Mountains and has a continental climate. All rates quoted above are subject to change. The temperature can vary greatly at this time of lots in the city range from 50 cents to Parking year, and can easily drop below 0°F; however, the parking ranges from $3.50 to $1.75 per hour; 24 hour average high temperature in January is 52°F, and the $16. average low is 23°F, with the median temperature in Social Events January being 31°F. The temperature drops rapidly The Local Arrangements Committee has arranged at sundown, so the evening temperature is usually a no-host, cash-bar social at 6:30 p.m. on Friday, close to the overnight low (25°F to 28°F). January 7. More details will be available in a later issue. Paul T. Bateman Urbana, Illinois Associate Secretary Travel In January, Denver is on Mountain Standard Time. There is regular airline service to the Stapleton International Airport by several major airlines. At the suggestion of the AMS Board of Trustees, the AMS/MAA Joint Meetings Committee authorized the experimental agreement with a travel service in an attempt to assist participants in obtaining the best airline fares possible to and from Denver. This Important information on the Employment Reg­ travel service (which has an 800 number) is described ister immediately follows. in the box on page 686. All participants are urged to consider this organization for their airline MATH FILE Mathematical Reviews Online MATHFILE is the online version of MATHEMATICAL REVIEWS, the authoritative record of published mathematical literature throughout the world. MR, a publication of the American Mathematical Society, provides essentially complete worldwide coverage of pure mathematics as well as those works in applied mathematics, physics, engineering, computer science, biology, operations research and other fields containing new and interesting mathematics. It contains reviews of 35,000 to 40,000 items each year which have been published in over 1,500 journals, books and book series. All this material is available online with BRS and Dialog. The database, called MATHFILE, includes all bibliographic and subject information on articles and books reviewed in Mathematical Reviews since 1973. The file will be updated monthly with the addition of approximately 3,000 new items. In addition to the bibliographic information, MATHFILE contains all the primary and secondary subject classifications attached to those items. Furthermore, starting with the material from mid-197S issues of Mathematical Reviews, the text of each review is in the file. Additional information may be obtained from John L. Selfridge, Executive Director of Mathematical Reviews (313) 764-7228 Mathematical Reviews, 611 Church Street, P. 0. Box 8604, Ann Arbor, Michigan 48107 Taissa T. Kusma, Database Specialist (401) 272-9500 American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02940 MATH FILE User's Guide A user's guide has been prepared by the Society to make searching MATHFILE easier, more effective and faster. The Guide includes: Instructions. How to get started on the vendor's system, an explanation of the file and suggestions on search techniques. List of Journals. Journal name abbreviations used by Mathematical Reviews, and the full titles as defined by the Library of Congress and those used by Mathematical Reviews; the ISSN, Coden, and useful publishing information. Subject Classification Systems. A correlated display of the two (1970 and 1980) slightly different MR systems, and the Library of Congress system. Index of terms occurring in the subject classification. Alphabetic listing of subject words from the MR classification system with the corresponding class numbers given for each. This list will be very helpful to searchers unfamiliar with the MR Subject Classification. Title words of entries reviewed from 1973 to 1979, arranged alphabetically with class numbers under which the entries occurred and frequency of occurrence of each word in each section. Inversion of the title word list, arranged by classification number, showing which title words occurred in each section and with what frequency. This will be useful in finding the right words to search a specific subject. ORDER CODE List AMS Members User's Guide, 3SO pages USERSGUIDE $50 $38 *List of journals, 91 pages ABBREXPAN 12 12 *Subject classifications, 47 pages SUBJSEXPAN 8 8 *Index of terms, 82 pages SUBJWORDIN IS IS

*Offprints of separate chapters

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.

689 Mathematical Sciences Employment Register January Meeting in Denver The Mathematical Sciences Employment Register, held annually at the Joint Mathematics Meetings in January, provides opportunities for mathematical scientists seeking professional employment to meet employers who have positions to be filled. Job listings (or descriptions) and resumes prepared by employers and applicants are displayed for the participants so that members of each group may determine which members of the other group they would like to have an opportunity to interview. A computer program assigns the appointments, matching requests to the extent possible, using an algorithm which maximizes the number of interviews which can be scheduled subject to constraints determined by the number of time periods available, the numbers of applicants and employers, and the pattern of requests. The report below outlines the operation of the register, indicating some of the procedures involved for the benefit of those not familiar with its operation. The Mathematical Sciences Employment Register is apparently unique among employment services offered by professional organizations in the sciences, engineering and the humanities. The computer programs used are constructed around a matching program, devised by Donald R. Morrison and based on an algorithm described in his paper "Matching Algorithms" in Journal of Combinatorial Theory, volume 6 (1969), pages 20 to 32; see also "Matching Algorithms" (abstract) Notices, August 1967, page 630. The number of interviews arranged by the program is significantly greater than the number possible at the employment registers of other organizations, in many cases greater by an order of magnitude. 1983 Employment Register in Denver The Saturday afternoon session is the annual The Employment Register at the Denver meeting "employers' choice" session. For this session will take place in the Ballroom Complex on the interviews will be scheduled on the basis of requests lobby level of the Denver Hilton Hotel on Thursday, made by employers. Applicants do not submit specific session; but, in order to Friday, and Saturday, January 6, 7, and 8, 1983. A interview requests for this short (optional) orientation session will be conducted participate they must indicate their availability for by the AMS-MAA-SIAM Committee on Employment the session by filing the Interview Request Form Opportunities at 9:00 a.m. on Thursday, January 6. for Saturday, indicating that they will attend the The purpose of the orientation session is to familiarize afternoon session that day. Request Forms for the participants with the operation of the Register and "employers' choice" session must be submitted by for the interviews to be with the various forms involved. Interviews between 4:00 p.m. on Friday in order applicants and employers will be scheduled for Friday scheduled for Saturday afternoon. and Saturday, January 7 and 8. Applicants should be aware of the fact that Fifteen-minute intervals are allowed for interviews, interviews arranged by the Employment Register with employers, and including two or three minutes between successive represent only an initial contact interviews. The interviews are scheduled in half-day that hiring decisions are not ordinarily made during interviews. sessions: Friday morning and afternoon, and Saturday or immediately following such Applicants morning and afternoon, amounting to four half-day are advised to bring a number of copies of their sessions for interviews. There are ten periods in which vitae or resumes so that they may leave them with interviews can be scheduled in the morning sessions prospective employers. and fourteen periods in the afternoon sessions. It All participants in the Employment Register are is possible that an applicant or employer may be required to register for the Joint Mathematics scheduled for the maximum number of interviews in Meetings. For applicants there is no additional a session, but the interview scheduling program can fee for participation in the Employment Register. accomodate only six requests per session for each The preregistration deadline is November 15. participant. The scheduling program does not have For employers, additional fees for participation a provision allowing participants to specify particular in the Employment Register are $50, if paid times for interviews beyond the choice of session (day, before the November 15 deadline for Joint Meetings and morning or afternoon). No interviews will be preregistration, or $75 if paid at the meeting. scheduled for the first of the three days, Thursday, Employers who wish to participate in the Register January 6. and who have neither preregistered nor paid the Requests for interviews to take place during Employment Register fee must go to the Joint the two sessions on Friday must be submitted on Mathematics Meetings registration desk in the Denver Thursday between 9:30 a.m. and 4:00 p.m. requests Convention Complex in order to complete their for interviews to take place during the Saturday registration. (No provision will be made to handle sessions must be submitted on Friday before 4:00 cash transactions at the site of the Employment p.m. Register in the Denver Hilton.) On Friday and Saturday mornings at 9 a.m. all Employers who have completed registration for schedules for applicants and employers for the day the Employment Register, and applicants who have (both the morning and afternoon sessions) will be preregistered, may pick up their MSER material after available for distribution in the Ballroom Complex. 9:30 a.m. on Thursday, January 6, in the Ballroom

690 December Issue of Employment Information in the Mathematical Sciences

For several years the periodical Employment Applicants at the back of this issue of the Notices Information in the Mathematical Sciences (ElMS) and observe the same deadline (November 15) as has published six issues per year listing open that for applicants who will be attending the positions in academic, governmental and industrial meeting. (It is, of course, not necessary to organizations, primarily in North America, along preregister for the meeting if one is not going to with a few listings from countries in other parts attend the meeting.) of the world. ElMS is a joint project of the Preparation of Applicants' Reswmis American Mathematical Society, the Mathematical The December issue of ElMS will be printed using Association of America, and the Society for photographic reproductions of Forms completed Industrial and Applied Mathematics. It is published and submitted by applicants. For this reason, by the Society. special care must be exercised by those who prepare the Forms in order to assure that the results are The December issue of ElMS contains resumes of good quality, and will be clear and legible after of persons seeking professional positions in the they have been photographed, reduced in size, and mathematical sciences. Resumes of applicants printed. taking part in the January 1983 Mathematical Because an employer's first impressions of an Sciences Employment Register at the Joint Mathe­ applicant are likely to be based on the appearance matics Meetings in Denver will be included in the of the printed Form, applicants are strongly advised December 1982 issue provided both that they are to study the suggestions given below very carefully received before the November 15 deadline specified before the forms are filled out, so that the original below and are in satisfactory condition. Other copy will be neither marred nor damaged. mathematical scientists who wish to be included The Forms should be carefully typed using a new may have their resumes printed if the same deadline black ribbon. The best results are obtained by is observed and if the copy supplied meets the same using a modern typewriter with a carbon-coated technical requirements, described below. polyethylene film ribbon, but satisfactory results may be obtained with a ribbon made of nylon or Copies of the December issue of ElMS will be other woven fabric if suitable care is exercised. It is distributed both to subscribers and to the employers important that the keys be clean and make a sharp who participate in the Mathematical Sciences clear impression, which must be a uniform dark Employment Register at the Joint Mathematics black; gray, blue, or other colors will not reproduce Meetings in Denver in January 1983. Job applicants and should, therefore, not be used. Do not use an planning to participate in the Employment Register eraser, as it will cause smudges which reproduce in Denver are therefore strongly urged to preregister when photographed. Use a correcting typewriter, so that their resumes can appear in the December or correction tape or fluid, if necessary. issue. Only an original copy of the Form should be sub­ Applicants who will participate in the Employ­ mitted, a photocopy or xerographic reproduction will not reproduce as well and may not be accepted ment Register in Denver and wish to have their for publication. It is therefore important to exer­ resumes included in the December issue of Employ­ cise care in order to assure that the results are ment Information in the Mathematical Sciences satisfactory. The timetable for production of the should complete both the special MSER Applicant December issue will not permit poor copy received Form and the Preregistration and Housing Form after the first week of November to be returned to at the back of this issue of the Notices. Both applicants for correction or replacement. Forms must be received in Providence by the Submission of copy of good quality is entirely November 15, 1982 deadline. Forms received after the responsibilty of the applicant. The Society the November 15 deadline cannot be included in (which will print this material) must be the final the printed booklet. For details on registration and judge of what copy is capable of being reproduced preregistration for the Denver Joint Mathematics adequately, and therefore of what is acceptable Meetings, please refer to the information on these for inclusion in the printed booklet. The Society cannot undertake to correct or replace inadequate subjects which may be found elsewhere in this issue copy, and cannot entertain requests to prepare of the Notices. original copy. In the event the quality of a Applicants for professional positions in the resume, submitted by an applicant participating mathematical sciences, who do not plan to attend in the Employment Register, does not meet the the meeting in Denver and participate in the necessary conditions for inclusion in the December Employment Register there, may also submit issue, the resume will nonetheless be posted at the resumes for publication in the December issue Employment Register in Denver, along with those if they use the MSER Preregistration Form for of the other participants.

691 Preregistration Information for Mathematical Sciences Employment Register

MSER PREREGISTRATION- Employers previous day; it will not be possible to assign any interviews to employers who do not submit the Employers who plan to participate in the Request Forms in good time even if they choose not Employment Register are urged to preregister for to identify particular applicants to be interviewed. it. The MSER Preregistration Form for Employers Submission of the form is required in order to (which appears at the back of this issue of the indicate availability for the session in question, Notices) should be submitted along with the whether or not any specific interviews are to be Housing and Preregistration Form for the Joint requested. Meetings. Deadline for receipt of both forms MSER PREREGISTRATION- Applicants is November 15, 1982. Preregistration for the Employment Register, in addition to permitting Applicants planning to participate in the Employ­ inclusion in the printed lists, has the advantage of ment Register in Denver are urged to preregister reduced fees and the services of the Mathematics for it. The special Applicants Preregistration Form Meetings Housing Bureau, and has the further for the Employment Register (which appears at advantage of helping to reduce waiting times at the the back of this issue of the Notices) should be meeting in Denver. completed and submitted with the Housing and Employers are encouraged to provide more than Preregistration Form for the Joint Mathematics one interviewer, when they are able to do so, Meetings prior to the deadline of November 15. in order to increase the number of interviews Applicants' resumes will be made available to which may be scheduled. Please take care to employers in printed form, so that they may be indicate on the Form the number of interviewers for studied carefully at leisure. The December issue whom simultaneous interviews may be scheduled. of Employment Information in the Mathematical (If all interviewers will be interviewing for the Sciences which will be printed a few weeks before same position, or for the same set of positions, the Denver meeting will contain photographic who only one form should be submitted and only one reproductions of the resumes of applicants not employer code number will be assigned; therefore, have preregistered by November 15. Forms in time cannot be included in the issue. each interviewer would then receive a separate received Applicants (as well as others planning to attend computer schedule and separate table number.) the Joint Meetings) should note that those who More than one employer code will be required preregister well in advance of the final deadline if some interviewers will not interview for all have access to a wider selection of accomodations, positions. Thus, if there are two disjoint sets of including, in particular, those in the lower price are required and two employer positions, two forms range, which (being in limited supply) tend to be codes will be assigned. exhausted early in the preregistration process. A coded strip summarizes the information on The deadline for receipt of applicant forms each Form; it appears at the bottom of the to be included in the December issue of ElMS Form. Employers' job listings will be posted is November 15. They must be accompanied at the meeting, so that applicants may study by the Housing and Preregistration Form, since them when choosing which employers they wish registration for the Joint Meetings is a prerequisite to interview. All employers are required to for registration for the Employment Register. The complete the Summary Strip. The strip provides special forms for the Employment Register, as well an abbreviated version of the information on the as the Housing and Preregistration Form for the Form and is used to prepare a computer-printed list Joint Meetings, appear at the back of this issue of of preregistered employers for distribution to the the Notices. applicants, called the Winter List of Employers. Applicants who preregister for the Employment Employers who have preregistered must pick up Register may pick up their MSER material anytime their MSER material in the Ballroom Complex of after 9:30 a.m. on Thursday, January 6, 1983, in the lobby level of the Denver Hilton Hotel after the Baliroom Complex of the lobby level of the 9:30a.m. on Thursday, January 6, 1983, and must Denver Hilton Hotel. Interview Request Forms submit an interview request form by 4:00 p.m. must be submitted the day before interviews are in order to receive a computer printed schedule to be scheduled; applicants who fail to submit for the following day. the Form before the 4:00 p.m. deadline on the In order for interviews to be scheduled on one previous day, cannot be included in the pool of day, the Employer's Interview Request Form must participants available for interviews on the day be submitted by the 4:00 p.m. deadline on the in question.

692 Complex where the Employment Register will be 1983 Summer Seminar held. All who wish to have interviews scheduled for Friday or Saturday, must submit their Interview In Applied Mathematics Request Forms on the preceding day by 4:00 p.m. Those who fail to do so cannot be included in the pool of available participants when the matching Large-seale Computations program which schedules the interviews is run on the computer that night. This applies both in Fluid Mechanics to preregistered employers and applicants, and to those registering at the meeting. June 27-July 8, 1983 Employers who do not plan to attend the Employ­ (Please note change in dates.) ment Register, but wish to display literature, may Scripps Institution of Oceanography do so (subject to approval) at no charge, provided University of California, San Diego all copies of the material to be displayed are received La Jolla, California in the Providence Office (MSER, P. 0. Box 6248, The fifteenth AMS-SIAM Summer Seminar in Providence, RI 02940) no later than November 15. Applied Mathematics will be held June 27-July 8, The MSER registration fee for employers covers the 1983, and will take place at the Scripps Institution of cost of a copy of the December Issue of Employment Oceanography, University of California, San Diego, Information in the Mathematical Sciences. This La Jolla, California. The seminar will be sponsored publication contains printed copies of the resumes of jointly by the American Mathematical Society and applicants who preregistered prior to the November the Society for Industrial and Applied Mathematics, 15 deadline; it will also contain a copy of the and it is anticipated that it will be supported summary Winter List of Applicants. The resumes by a grant from a federal agency. The topic themselves will be posted at the site of the Register. Large-scale computations in fluid mechanics was Additional copies of the December Issue of ElMS and selected by the AMS-SIAM Committee on Applied both the summary Winter Lists (of Applicants and Mathematics whose members at the time were John of Employers) will be available for sale at the AMS Dennis, Norman Lebovitz, Alan Newell, (chairman), Book Sale at the meeting, as long as supplies last. and George C. Papanicolaou. The members of Prices at the meeting are $2 each for the summary the organizing commitee are Alexandre J. Chorin lists and $3 for the December issue. Any copies (University of California, Berkeley), Bjorn E. Engquist remaining after the meeting will be available from (University of California, Los Angeles), Stanley J. the Providence office of the Society for $3 and $6, Osher (University of California, Los Angeles), and respectively. (Attention is called to the fact that the Richard C. J. Somerville, chairman (University of December issue of ElMS will contain the Winter List California, San Diego). of Applicants. It will not contain the Winter List of In the early spring a brochure will be available Employers.) (from the AMS office) which will include a description The Winter List of Employers consists of sum­ of the scientific program, as well as information on maries of the position listings submitted by the the residence and dining hall facilities, with firm room employers who preregistered for the meeting; it and board rates, local information, and a reservation will be distributed without charge to the applicants form to be used to obtain accommodations on campus. participating in the Register. Others may purchase Each participant will pay a social fee to cover the the Winter List of Employers at the AMS Book Sale cost of refreshments served at breaks and for social at the meeting or from the Providence office later, as events. There will also be a meeting registration fee long as the supply lasts. (See previous paragraph for of $30 ($10 for students and unemployed individuals). prices.) Individuals may apply for admission to the seminar. The Mathematical Sciences Employment Register Application blanks for admission and/or financial is sponsored by the American Mathematical Society, assistance can be obtained from the Meetings Depart­ the Mathematical Association of America, and the ment, American Mathematical Society, P. 0. Box Society for Industrial and Applied Mathematics; it 6248, Providence, Rhode Island 02940. The deadline is operated by members of the AMS staff under the for return of applications is March 4, 1983. An general supervision of the joint AMS-MAA-SIAM applicant should have completed at least one year Committee on Employment Opportunities. of graduate school and will be asked to indicate Preregistration Information may be found in his or her scientific background and interest. A an accompanying article in this issue of the graduate student's application must be accompanied Notices. Information on the December Issue of by a letter from his or her faculty advisor concerning Employment Information in the Mathematical the applicant's ability and promise. Those who wish Sciences, including specific suggestions for the to apply for a grant-in-aid should so indicate on the proper preparation of material to be submitted application form; however, funds available for the for publication in the December Issue, will also seminar are limited and individuals who can obtain be found in a separate article in this issue of the support from other sources should do so. Notices.

693 Invited Speakers Carl B. Pomerance, Number-theoretic algorithms Norberta Salinas, Operator algebras and operator and Special Sessions theory Arthur Schlissel, History of mathematics Invited Speakers at AMS Meetings March 1983 Meeting in Norman Central Section The individuals listed below have accepted invita­ Deadline for organizers: E:cpired tions to address the Society at the times and places Deadline for consideration: December 90 indicated. For some meetings, the list of speakers is Roger C. Alperin, Homological and combinatorial incomplete. methods in group theory Denver, January 1983 Dale E. Alspach, Theory of Banach spaces Michael Aizenman Benedict H. Gross George Phillip Barker, Linear algebra and matrix Bradley Efron Roger E. Howe theory Charles L. Fefferman Samuel Karlin Harold G. Diamond, Analytic number theory (Colloquium Lecturer) (Gibbs Lecturer) Benny D. Evans, Geometric topology Michael H. Freedman Neil J. A. Sloane Kevin A. Grasse and Luther W. White, Control David Gieseker theory and applications Andrew M. Gleason (Retiring Presidential Address) Joel K. Haack, Rings and modules Nonnan, March 1983 Roger C. Lyndon, The algebra of algorithms, Boris Mityagin Michael Starbird automata, and languages Paul E. Schupp Jeffrey D. Vaaler Andy R. Magid and Richard D. Resco, Universal New York, April1983 enveloping algebra and group algebras of infinite groups W. Dale Brownawell Oliver McBryan William 0. Ray, Nonlinear functional analysis Richard Hamilton Wolfgang Ziller Boris M. Schein, Theory of semigroups Albany, August 1983 April1983 Meeting in New York James Eells Herve Jacquet Eastern Section Robert C. Gunning J. H. B. Kemperman Deadline for organizers: E:cpired Ira Herbst Deadline for consideration: January 25 Organizers and Topics W. Dale Brownawell, Diophantine problems Anthony Gaglione, Combinatorial group theory of Special Sessions Marvin Knopf and Joel Lehner, The mathematical legacy of Hans Rademacher The list below contains all the information about Special Sessions at meetings of the Society available C. C. Yang, Value distribution theory and its at the time this issue of the Notices went to the applications printer. Wolfgang Ziller, Variational problems in Rieman­ The section below entitled Information for nian geometry Organizers describes the timetable for announcing April1983 Meeting in Salt Lake City the existence of Special Sessions. Far Western Section January 1983 Meeting in Denver Deadline for organizers: E:cpired Deadline for consideration: January 91 Associate Secretary: Paul T. Bateman Lawrence W. Baggett, Deadline for consideration: E:cpired Harmonic analysis Robert Barnhill, Computer-aided geometric design Irving H. Anellis and G. E. Mine, Proof theory K. R. Goodearl and T. H. Lenagan, Noncommutative Woodrow W. Bledsoe, Automatic theorem proving ring theory Charles W. Curtis, Representation theory of finite Klaus Schmitt, Ordinary differential equations groups of Lie type P.D. T.A.Elliott and Wolfgang M. Schmidt, Dio­ August 1983 Meeting in Albany phantine problems and analytic number theory Associate Secretary: Hugo Rossi John W. Gray, Applied category theory Deadline for organizers: January 11, 1989 A. G. Kartsatos and Mary E. Parrott, Monotonicity Deadline for consideration: April 26 methods in differential equations Bertram Schreiber and Colin C. Graham, Tensor Sung J. Lee and M. Zuhair Nashed, Abstract adjoints products and p-summing operators in har­ and boundary problems monic analysis Peter A. McCoy, Function-theoretic methods in January 1984 Meeting in Louisville differential equations Associate Secretary Designate: W. Wistar Comfort Duong Hong Phong, Pseudo-differential operators Deadline for organizers: April15, 1989 and applications Deadline for consideration: To be announced

694 Information for Organizers Abstracts of papers submitted for consideration for presentation at a Special Session must be received Special Sessions at Annual and Summer meetings by the Providence office (Editorial Department, are held under the general supervision of the American Mathematical Society, Post Office Box Program Committee. They are administered by 6248, Providence, RI 02940) by the special deadline the Associate Secretary in charge of the meeting with for Special Sessions, which is usually three weeks staff assistance from the Society office in Providence. earlier than the deadline for contributed papers for Some Special Sessions arise from an invitation to the same meeting. The Council has decreed that no a proposed organizer issued through the Associate paper, whether invited or contributed, may be listed Secretary. Others are spontaneously proposed by in the program of a meeting of the Society unless an interested organizers or participants. Such proposals abstract of the paper has been received in Providence are welcomed by the Associate Secretaries. prior to the deadline. The number of Special Sessions at a Summer or Annual Meeting is limited to twelve. Proposals, invited or offered, which are received at least nine months prior to the meeting are screened for Send Proposals for Special Sessions to the suitability of the topic and of the proposed list Associate Secretaries of speakers, and for possible overlap or conflict The Associate Secretary in charge of the AMS with other proposals (specific deadlines for requesting program at the Annual Meeting in Denver, January approval for Special Sessions at national meetings are 1983, is Paul T. Bateman (address below); Special given above). If necessary, the numerical limitation Sessions planned for this meeting had to be is enforced. approved prior to June 9, 1982. The Associate Proposals for Special Sessions should be submitted Secretary in charge of the AMS program at the directly to the Associate Secretary in charge of the Summer Meeting in Albany, August 1983, is Hugo meeting (at the address given in the accompanying Rossi (address below); Special Sessions for this box). If such proposals are sent to the Providence meeting must be approved before January 11, 1983. office, addressed to the Notices, or directed to anyone The programs of sectional meetings are arranged by other than the Associate Secretary, they will have the Associate Secretary for the section in question: to be forwarded and may not be received before the quota is filled. Far Western Section (Pacific and Mountain) In accordance with an action of the Executive Hugo Rossi, Associate Secretary Committee of the Council, no Special Session may Department of Mathematics be arranged so late that it may not be announced in University of Utah the Notices early enough to allow any member of the Salt Lake City, UT 84112 Society, who wishes to do so, to submit an abstract (Telephone 801-581-8159) for consideration for presentation in the Special Central Section Session before the deadline for such consideration. Paul T. Bateman, Associate Secretary Special Sessions are effective at sectional meetings Department of Mathematics and can usually be accommodated. They are arranged University of Illinois by the Associate Secretary under the supervision of Urbana, IL 61801 the Committee to Select Hour Speakers for the (Telephone 217 -333-4996) section. The limitation on the number of sessions Eastern Section depends on the space and time available. The same W. Wistar Comfort as for national meetings applies to the restriction Associate Secretary Designate for announcing Special Sessions at sectional deadline Department of Mathematics no Special Session may be approved too meetings: Wesleyan University late for its announcement to appear in time to Middletown, CT 06457 allow a reasonable interval for members to prepare (Telephone 203-34 7-9411) and submit their abstracts prior to the special early deadline set for consideration of papers for Special Southeastern Section Sessions. Frank T. Birtel, Associate Secretary Department of Mathematics Information for Speakers Tulane University New Orleans, LA 70118 A great many of the papers presented in Special (Telephone 504-865-5646) Sessions at meetings of the Society are invited papers, As a general rule, members who anticipate but any member of the Society who wishes to do organizing Special Sessions at AMS meetings are so may submit an abstract for consideration for advised to seek approval at least nine months presentation in a Special Session, provided it is prior to the scheduled date of the meeting. No received in Providence prior to the special early Special Sessions can be approved too late to provide deadline announced above and in the announcements adequate advance notice to members who wish to of the meeting at which the Special Session has been participate. scheduled.

695 Norman, March 18-19, 1983, University of Oklahoma First Announcement of the 802nd Meeting

The eight hundred second meeting of the American Control theory and applications, KEVIN A. Mathematical Society will be held at the University of GRASSE and LUTHER W. WHITE, University of Oklahoma, Norman, on Friday and Saturday, March Oklahoma. 18-19, 1983. Sessions will be held in the Oklahoma Rings and modules, JOEL K. HAACK, Oklahoma Center for Continuing Education, which also has State University. guest rooms. The algebra of algorithms, automata, and Invited Addresses languages, ROGER C. LYNDON, University of Michigan, Ann Arbor. By invitation of the 1982 Committee to Select Hour Speakers for Central Sectional Meetings, there Universal enveloping algebra and group algebras will be four invited one-hour addresses. The speakers, of infinite groups, ANDY R. MAGID and RICHARD their affiliations, titles of their talks, and scheduled D. RESCO, University of Oklahoma. times of presentation, are as follows: Nonlinear functional analysis, WILLIAM 0. BORIS MITYAGIN, Ohio State University, Non­ RAY, University of Oklahoma. linear singular equations, 11:00 a.m. Friday. Theory of semigroups, BORIS M. SCHEIN PAUL E. SCHUPP, University of Illinois, Urbana­ University of Arkansas. ' Champaign, Behavior at infinity: Ends, automata, Most of the papers to be presented at these special and second-order logic, 1:45 p.m. Friday. sessions will be by invitation. However, anyone MICHAEL STARBIRD, University of Texas, submitting an abstract for the meeting who feels that his or her paper would be particularly appropriate Austin, Decompositions of 8 3 , 11:00 a.m. Saturday. for one of these special sessions should indicate JEFFREY D. VAALER, University of Texas, this clearly on the abstract form and submit it by Austin, Some recent applications of Fourier December 30, 1982, three weeks before the deadline analysis in number theory, 1:45 p.m. Saturday. for contributed papers. Speeial Sessions Contributed Papers By invitation of the same committee, there will be There will also be sessions for contributed ten­ eleven sessions of selected twenty-minute papers. The minute papers. Abstracts should be sent to the topics of these special sessions and the names of the American Mathematical Society, P.O. Box 6248 mathematicians arranging them are: Providence, Rhode Island 02940, so as to arrive prio; Homological and combinatorial methods in to the deadline of January 20, 1983. Abstracts group theory, ROGER C . .ALPERIN, University should be prepared on the standard AMS form of Oklahoma. available from the AMS office in Providence, or in Theory of Banach spaces, DALE E. ALSPACH, departments of mathematics. Oklahoma State University. Information about accommodations and travel will Linear algebra and matrix theory, GEORGE be published in the January and February issues of PHILLIP BARKER, University of Missouri, Kansas the Notices. City, and North Carolina State University. Analytic number theory, HAROLD G. DIA­ Paul T. Bateman MOND, University of Illinois, Urbana-Champaign. Urbana, Illinois Associate Secretary Geometric topology, BENNY D. EVANS, Ok­ lahoma State University.

696 AMS Summer Research Conference Series University of Colorado, Boulder, June 5 to August 13, 1983

The 1983 conferences in the AMS Summer Research The AMS Summer Research Conference Series Conference Series will be held at the University of is under the direction of the AMS Committee on Colorado, Boulder, between June 5 and August 13, Summer Research Conferences which includes: James 1983. It is anticipated that the series of week-long G. Glimm, Benedict Gross, Kenneth Kunen, Katsumi conferences will be supported by a grant from the Nomizu, DonaldS. Ornstein, Julius Shaneson, R. 0. National Science Foundation. Wells, Jr. (chairman), and Shmuel Winograd. There will be ten one-week conferences in ten Descriptions of the subject matter of each of the different areas of mathematics. Each week par­ 1983 conferences appeared in the October Notices, ticipants will arrive on Sunday and leave the follow­ pages 582 to 584; they were accompanied by lists of ing Saturday. The topics and organizers for the ten members of the respective organizing committees. conferences were selected by the AMS Commmittee on Summer Research Conferences. The selections June 5 to June 11 were based on suggestions made by the members Combinatorics and algebra of the committee, by members of the Council of RICHARD P. STANLEY (Massachusetts Institute the AMS and others. The committee considered of Technology), Chairman it important that the conferences represent diverse areas of mathematical activity, with emphasis on June 12 to June 18 areas currently especially active, and paid careful Applications of algebraic K-theory to algebraic geometry attention to subjects in which there is important and number theory interdisciplinary activity at present. KEITH DENNIS (Cornell University), Chairman The conferences will be similiar in structure to those held throughout the year at Oberwolfach. These June 19 to June 25 conferences are intended to complement the Society's Aziomatic set theory program of annual Summer Institutes and Summer JAMES E. BAUMGARTNER (Dartmouth College), Seminars, which have much larger attendance and are Chairman substantially broader in scope. The conferences are research conferences, and are not intended to provide June 26 to July 2 an entree to a field in which a participant has not Group actions on manifolds already worked. REINHARD SCHULTZ (Purdue University), Chair­ It is expected that funding will be available for man about thirty participants in each conference. Others, in addition to those funded, will be welcome, within July 3 to July 9 the limitations of the facilities of the campus. Up Ordered fields and real algebraic geometry to about seventy participants can be accommodated D. W. DUBOIS (University of New Mexico), at each conference. Housing accommodations will Chairman be available on campus for those attending the Jointly supported by NATO as NATO Advanced conference, and daily meals will be served in a dining Research Workshop 58/83. hall near the dormitories. A brochure describing the facilities available at the University of Colorado will July 10 to July 16 be available from the AMS office in March 1983. The Microlocal analysis brochure will include information on firm room rates LINDA PREISS ROTHSCHILD (University of Wis­ and the residence and dining hall facilities, as well as consin, Madison), Chairman local information and a reservation form to be used for accommodations on campus. Each participant July 17 to July 23 will pay a social fee to cover the cost of refreshments Fluids and plasmas: geometry and dynamics served at breaks and for social events. JERROLD E. MARSDEN (University of California, Those interested in attending one of the con­ Berkeley), Chairman ferences should request an application form from Carole Kohanski, AMS Summer Research Conference July 24 to July 30 Coordinator, American Mathematical Society, Post Probability theory, partial differential equations and Office Box 6248, Providence, Rl 02940 (401-272- applications 9500, extension 286), specifying which conference DANIEL STROOCK (University of Colorado, they wish to attend. Selection of the participants and Boulder), Chairman approval of participant support will be made by the Organizing Committee for each conference. Women July 31 to August 6 and members of minority groups are encouraged to Geometrical analysis of singularities apply and participate in these conferences. The JEFF CHEEGER (SUNY, Center at Stony Brook), deadline for receipt of applications is February 1, Chairman 1983. Those who wish to apply for a grant-in-aid should so indicate on the application form; however, August 7 to August 13 funds available for these conferences are limited and Kleinian groups so individuals who can obtain support from other HOWARD MASUR (University of Illinois, Chicago), sources should do so. Chairman

697 Special Meetings

THIS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regions! 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), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All co=unications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES are listed on the inside front cover of each issue. 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.

1982-1983. Special Year in Lie Group Representations, 13-19. Funktionenthebrie, Chairmen: E. Mues, Hannover, University of Maryland, College Park, Maryland. (June K. Strebel, Ziirich, Ch. Pommerenke, Berlin. 1982, p. 373) 27-March 5. Partielle Differentialgleichungen, Chairmen: July 1, 1982-September 1, 1983. Special Year in Math­ G. Hellwig, Aachen, J. Weidmann, Frankfurt. ematics Related to Energy, University of Wyoming, March Laramie, Wyoming. (October 1982, p. 588) 6-12. Mathematische Stochastik, Chairman: C. Preston, September 1, 1982-August 31, 1983. Statistical and Bielefeld. Continuum Approaches to Phase Transition, Institute 13-19. Special Functions and Group Theory, Chairmen: for Mathematics and its Applications, University of R. A. Askey, Madison, T. H. Koornwinder, Amsterdam, Minnesota, Minneapolis, Minnesota. (January 1982, p. 74) W. Schempp, Siegen. October 31, 1982-0ctober 1, 1983. Mathematisehea 20-26. Numerische Probleme der Approximationstheorie, Forachungsinatitut Oberwolfaeb (Weekly Conferences), Chairmen: L. Collatz, Hamburg, G. Meinardus, Mann­ Federal Republic of Germany. heim, H. Werner, Bonn. Information: Martin Barner, Institute Director, Albert­ 27-April 2. Gewohnliehe Differentialgleichungen, Chair- strasse 24, 78 Freiburg i. Br., Federal Republic of men: H. W. Knobloch, Wiirzburg, R. Reissig, Bochum. Germany. April October 3-9. Arbeitsgemeinschaft Geyer-Harder. 31-November 6. Didaktik. 10-16. Algebraische Zahlentheorie, Chairmen: A. FrOhlich, November London, P. Roquette, Heidelberg. 7-13. Sequentialverfahren und Erneuerungstheorie, Chair­ 17-23. Mathematische Logik, Chairmen: W. Felscher, men: V. Mammitzsch, Marburg, H. Walk, Giessen. Tiibingen, H. Schwichtenberg, Miinchen. 14--20. Fortbildung fiir Bibliothekare, Chairman: G. ROmer, May Karlsruhe. 1-7. Gruppentheorie, Chairmen: K. W. Gruenberg, Lon­ 21-27. Mathematical Problems in the Kinetic Theory of don, 0. Kegel, Freiburg. Gases, Chairmen: H. Neunzert, Kaiserslautern, D. C. 8-14. Allgemeine Ungleichungen, Chairmen: E. F. Becken­ Pack, Glasgow. bach, Los Angeles, M. Kuczma, Katowice, W. Walter, 28-December 4. Fortbildungslehrgang fiir Studienriite. Karlsruhe. December 15-21. Kommutative Algebra und algebraische Geometrie, 5-11. Optimale Kontrolle partieller Differentialgleichungen Chairmen: E. Kunz, Regensburg, H. J. Nastold, Miinster, mit Schwerpunkt auf numerischen Verfahren, Chairmen: L. Szpiro, Paris. K.-H. Hoffmann, Berlin, W. Krabs, Darmstadt. 22-28. Differentialgeometrie im Groflen, Chairmen: S. S. 12-18. Geschichte der Mathematik, Chairmen: E. Knob­ loch, Berlin, C. J. Scriba, Hamburg. Chern, Berkeley, W. Klingenberg, Bonn. January 1989 29-June 4. Dynamisebe Systeme, Chairmen: J. Moser, 2-8. Kontinuumsmechanik des festen Korpers, Chairmen: Ziirich, E. Zehnder, Bochum. G. Herrmann, Stanford, H. Lippmann, Miinchen. June 9-15. Mathematische Optimierung, Chairmen: H. Konig, 5-11. Spezielle Funktionen und Differentialgleichungen Saarbriicken, B. Korte, Bonn, K. Ritter, Stuttgart. im Komplexen, Chairmen: F. W. Schiifke, Konstanz, 16-22. Deskriptive Mengenlehre, Chairman: E.-J. Thiele, D. Schmidt, Essen. Berlin. 5-11. Spektraltheorie gewohnlicher Differential-operatoren, 16-22. Anwendbare Algebra, Chairmen: Th. Beth, Erlan­ Chairmen: H.-D. Nieflen, Essen, A. Schneider, Dortmund. gen, H. Liineburg, Erlangen. 12-18. Numerische Behandlung von Eigenwertaufgaben, 23-29. Noethersehe Ringe, Chairmen: W. Borho, Wupper­ Chairmen: J. Albrecht, Clausthal-Zellerfeld, L. Collatz, tal, A. Rosenberg, Cornell, L. Small, La Jolla. Hamburg, W. Velte, Wiirzburg. February 19-25. AG Algebra: Combinatorics and Algebraic Groups, 6-12. Medizinische Statistik, Chairmen: P. Ihm, Marburg, Chairmen: H. Kraft, Hamburg, I. G. Macdonald, London, H. Klinger, DUsseldorf. C. Procesi, Rome.

698 26-July 2. Fehlerasymptotik und Defektkorrekturen, 1983 Chairmen: K. Bohmer, Marburg, V. Pereyra, Venezuela, H. Stetter, Wien. 1983. Special Year in Commutative Algebra and Algebraic July Geometry, University of illinois, Urbana, lllinois. 3-9. Maf3theorie, Chairman: D. Kolzow, Erlangen. Program: Determinantal varieties, singularities, Gorenstein 10-16. Harmonische Analyse und Darstellungstheorie and Cohan-Macaulay rings, complexes. Courses, topologischer Gruppen, Chairmen: R. Howe, Yale, seminars and small working groups will cover material D. Poguntke, Bielefeld. from these areas. Visitors to the campus during this 17-23. Potentialtheorie, Chairman: H. Bauer, Erlangen. time include: T. Jozefiak (Torin, Poland, Academic Year Bulgaria, Calendar Year 24-30. Darstellungstheorie endlicher Gruppen, Chairmen: 1982-1983), L. Avramov (Sofia, Sweden, Academic Year B. Huppert, Mainz, G. Michler, Essen. 1983), and G. Almkvist (Lund, 1983-1984). 31-August 6. Approximation und Funktionalanalysis, Chairmen: P. L. Butzer, Aachen, B. Sz.-Nagy, Szeged. Organizing Committee: R. Fossum, P. Griffith. August Information: R. Fossum or P. Griffith, Department of Mathematics, University of lllinois, 1409 West Green 7-13. Konstruktive Verfahren der komplexen Analysis, Street, Urbana, lllinois 61801. Chairmen: D. Gaier, Gieilen, P. Henrici, Ziirich, R. S. Varga, Kent. 14-20. Arithmetic Algebraic Geometry, Chairmen: G. JANUARY 1983 Harder, Wuppertal, N. Katz, Princeton. 28-September 3. Partial Differential Equations in Complex 8-9. Association for Symbolic Logie Annual Meeting, Analysis, Chairmen: K. Diederich, Wuppertal, J. J. Denver, Colorado. (June 1982, p. 376) Kohn, Princeton, I. Lieb, Bonn. William H. Roever Lectures in Geometry, September 10-14. Washington University, St. Louis, Missouri. (See also 4-10. Topologie, Chairmen: L. Siebenmann, Orsay, C. B. page 710, this issue.) Thomas, London, F. Waldhausen, Bielefeld. Pn'ncipal Lecturer: John Milnor, Institute for Advanced 11-17. Spezialtagung Topologie: Homotopietheorie, Chair­ Study. T. tom Dieck, Gottingen, M. Mahowald, Evanston, men: Information: William M. Boothby, Department of Math­ L. Smith, Gottingen. ematics, Washington University, St. Louis, Missouri 25-0ctober 1. Komplexe Analysis, Chairmen: J. Grauert, 63130. Gottingen, R. Remmert, Miinster, K. Stein, Miinchen. 10-14. Fourth Intemational Symposium on Approximation Theory, Texas A&M University, College Station, Texas. NOVEMBER 1982 (October 1982, p. 589) 2-4. Seeond International Conference on Reactive Process­ ing of Polymers, Pittsburgh Hilton Hotel, Pittsburgh, FEBRUARY 1983 Pennsylvania. (August 1982, p. 471) Fourteenth Southeaatem Conference on Com­ 2-4. SIAM Conference on Numerical Simulation of VLSI 14-17. Graph Theory and Computing, Florida Atlantic Devices, Boston, Massachusetts. (April1982, p. 296) binatories, University, Boca Raton, Florida. 3-5. Seeond International Symposium on Real Time Date Invited Lecturers: Paul Erdos (Hungarian Academy of '82, Versailles, France. (October 1982, p. 589) Sciences), Victor Klee (University of Washington), Carl 3-5. Twenty-third Annual IEEE Symposium on Founda­ Pomerance (University of Georgia), and Jacobus van tions of Computer Science, Chicago, illinois. (February Lint (Technical University of Eindhoven). 1982, p. 201) Call for Papers: There will be sessions for fifteen- minute presentations of contributed papers. Deadline 6-16. Relational Representations of Biological and En­ for abstracts is February 1, 1983. vironmental Systems, University of Khartoum, Khartoum, Frederick Hoflinan, Department of Mathe­ Sudan. (August 1982, p. 471) Information: matics, Florida Atlantic University, Boca Raton, Florida 11-14. American Mathematical Association of Two-Year 33431, (305) 393-3345 or 3340. Colleges Annual Convention, Las Vegas, Nevada. (June 1982, p. 376) MARCH 1983 16-December 10. Autumn Course on Mathematical Eeology, International Centre for Theoretical Physics, 10-12. John H. Barrett Memorial Lectures in Function Trieste, Italy. (April 1982, p. 297) Theory, University of Tennessee, Knoxville, Tennessee. 17-19. Congres "Architecture des Machines et Systemes Principal Speaker: Donald Sarason (University of Califor- Ioformatiques", Lille, France. (August 1982, p. 472) nia, Berkeley). 21-30. Deterministic Models in Population Biology, Program: Three hour talks by Professor Sarason, and University of Khartoum, Khartoum, Sudan. (August 1982, several twenty-minute talks by other participants, on p. 472) operator theory and function theory on the disc. Deadline for Abstracts: February 15, 1983. Information and Abstracts: W. R. Wade, Department 1982 DECEMBER of Mathematics, University of Tennessee, Knoxville, Tennessee 37996/1300. 14-17. International Seminar on Combinatoriea and Applications (in Honor of S. S. Shrikhande), Indian 21-23. Second ACM SIGACT-SIGMON Symposium on Statistical Institute, Calcutta, India. (October 1982, p. Principles of Database Systems, Atlanta, Georgia. (October 589) 1982, p. 589) 28-January 4. Conference on Abelian Group Theory, 21-26. UAB Intemational Conference on Differential Equa­ University of Hawaii at Manoa, Honolulu, Hawaii. (August tions, University of Alabama in Birmingham, Birmingham, 1982, p. 472) Alabama. (October 1982, p. 589)

699 APRIL 1983

5-9. Thirty-fifth British Mathematical Colloquium, Univer­ The Multiple Stochastic Integral sity of Aberdeen, Scotland, United Kingdom. (October David Douglas Engel 1982, p. 589) Norbert Wiener laid down the foundation of the 11-14. IEEE Southeasteon '83, Orlando, Florida. theory of stochastic integration in his classic papers Sponsor: Institute of Electrical and Electronics Engineers, on homogeneous chaos and discrete chaos (which Inc. are now called Brownian motion and the Poisson Information: Russell E. Theisen, Southeastcon 83 Chair­ process, respectively). Modern researchers find these man, Martin Marietta Aerospace, P.O. Box 5837 MP-3, papers difficult to read and even more difficult to 2667 Fitzhugh Road, Winter Park, Florida 32792, (305) relate to today's viewpoint of stochastic integration. 671-4139. The Multiple Stochastic Integral is an attempt to 19-21. IEEE Infoeom 83: Second Annual Joint Conference show the beauty and simplicity of the original the­ of the IEEE Computer and Communications Societies, San ories and how they provide a geometric interpreta­ Diego, California. (October 1982, p. 589) tion of many of the well-known formulas involving 21-22. Fourteenth Annual Modeling and Simulation Con­ stochastic integrals. This is accomplished by em­ ference, University of Pittsburgh, Pittsburgh, Pennsyl­ ploying certain Banach space valued measures on vania. (October 1982, p. 589) Rn which yield the desired stochastic integrals when evaluated on appropriate subsets. 25-27. Fifteenth ACM Symposium on Theory of Comput­ ing, Boston, Massachusetts. (October 1982, p. 589) 1980 Mathematics Subject Classifications. 60H05; 28A35, 28805, 28C20 Memoirs of the American Mathematical Society MA.¥1983 Memoir Number 265, vi + 85 pages (soft cover) List price $5, institutional member $4, 11-13. Optimi1ation Days 1983, Ecole Polytechnique, individual member $3 Montreal, Canada. (October 1982, p. 589) ISBN 0-8218·2265-9; LC 82-8740 Publication date: July 1982 12-14. Colloquium on the 20oth Anniversary of the Death To order, please specify MEM0/265N of Leonhard Euler, Technical University of Berlin, Federal Republic of Germany. Prepayment is required for all AMS publications. Program: The colloquium will include historical lectures on Order from AMS, PO Box 1571, Annex Station, Euler's work as well as surveys of recent developments Providence, Rl 02901, or call 800-556-7774 in function theory, partial differential equations and the calculus of variations. to charge with VISA or MasterCard. Information: J. Winkler, Technische Universitiit Berlin, Fachbereich 3 - Mathematik (MA 8-2), Strasse des JUNE 1983 17. Juni 135, D-1000 Berlin 12, Federal Republic of Germany. 13-16. Tenth International Symposium on Computer 22-29. Third International Conference on Functional­ Architecture, Stockholm, Sweden. (October 1982, p. 590) Differential Systems and Related Topics, Blazejewko, 20-24. 1983 International Symposium on the Mathematical Poland. Theory of Networks and Systems, Ben Gurian University Program: The conference will cover recent advances of the Negev, Beer Sheva, Israel. (October 1982, p. 590) in the following topics: differential and integral equa­ 27-29. ACM IEEE Twentieth Design Automation Con­ tions with transformed argument; time lag systems, ference, Miami Beach, Florida. (October 1982, p. 590) control and observation problems, stability and stabi­ 27-29. lization, optimization; algebraic methods; applications SIAM Symposium on the Applications of Discrete in engineering, economics, etc. Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts. (October 1982, p. 590) Call for Papers: There will be sessions for contributed papers. Authors will be notified of acceptance by March 28-30. Thirteenth International Symposium on Fault­ 1, 1983. Further information may be obtained from the Tolerant Computing, Milan, Italy. (October 1982, p. address below. 590) Information: D. Przeworska-Rolewicz, Mathematical Insti­ tute, Polish Academy of Sciences, Sniadeckich 8, 00-950 JULY 1983 Warszawa, P.O. Box 137, Poland. 4-9. Tenth International ConCerence on General Relativity 23-25. Eighteenth New Zealand Mathematics Colloquium, and Gravitation, Fondazione Cini, Isola di San Giorgio, Massey University, Palmerstown North, New Zealand. Venice, Italy. (October, 1982, p. 590) (October 1982, p. 589) 10-16. Joumees Arithmetiques 1983, Noordwijkerhout, 24-June 12. First Southeast Asian Colloquium on Graph The Netherlands. Theory, National University of Singapore. Information: Mrs. S. J. Kuipers-Hoekstra, Mathematisch Program: The colloquium will consist of two parts. There Centrum, Postbus 4079, 1009 AB Amsterdam, The will be a two-week workshop from May 24 to June 5, Netherlands. followed by a general conference from June 7 to 12. 11-15. Twelfth Conference on Stochastic Proceues and Information: H. P. Yap, Department of Mathematics, their Applications, Cornell University, Ithaca, New York. National University of Singapore, Kent Ridge, Singapore Organizer: Committee for Conferences on Stochastic 0511, Republic of Singapore. Processes of the Bernoulli Society for Mathematical Statistics and Probability. 30-June 3. International Colloquium in Honor of Laurent Program: There will be invited papers as well as several Schwart•, Ecole Polytechnique, Palaiseau, France. sessions of contributed papers. Information: B. Teissier, "Colloque Laurent Schwartz", Information: N. U. Prabhu, Center for Applied Mathe­ Centre de Mathematiques, Ecole Polytechnique, F 91128 matics, Cornell University, 275 Olin Hall, Ithaca, New Palaiseau, Cedex, France. York 14853, (607) 256-4856.

700 11-15. Ninth British Combinatorial Confel!lnce, University of Southampton, England. (October l982, p. 590) 11-16. Seventh International Congress of Logic, Methodol­ CONTEMPORARY MATHEMATICS ogy and Philosophy of Science, Salzburg, Austria. (October 1982, p. 590) (ISSN 0271-4132) 11-22. L.M.S.fS.E.R.C. Durham Sympo1lum in Potential UMBRAL CALCULUS AND HOPF ALGEBRAS Theory, University of Durham and Grey College, Durham, edited by Robert Morris United Kingdom. (October 1982, p. 590) CONTENTS: 12-15. International Conference on the Teaching of Math­ S. A. ]ani and G.-C. Rota, Coalgebras and bia/ge­ ematical Modelling, Exeter University, Exeter, England. (October 1982, p. 590) bras in combinatorics Warren Nichols and Moss Sweedler, Hopf algebras 18-22. International Conference on Mathematic• in Biology and combinatorics and Medicine, Bari, Italy. (October 1982, p. 590) This book represents a unique blending of two 25-29. Sixth International Sympo1ium on Multivariate fields only recently recognized as related. On one Analysis, University of Pittsburgh, Pittsburgh, Pennsyl­ hand lies the field of combinatorics with roots (at vania. (October 1982, p. 590) least immediately traceable via generating functions to umbra! calculus, the speciality at hand) in the AUGUST 1983 19th century writings of Boole on operator calculus. Both the foundations and much of the history of 1-14. Workshop and Conference in Algebraic Topology, Memorial University, Saint John's, Newfoundland. the umbra! calculus are explored in great clarity in Sponsor: Canadian Mathematical Society, under the previous papers by Rota and others. On the other auspices of the National Science and Research Council hand is the field of Hopf algebras, which is usually of Canada. traced to a paper of Mil nor and Moore but whose Information: Renzo Piccinini, Department of Mathematics first general exposition by Sweedler is little more and Statistics, Memorial University of Newfoundland, than a decade old. St. John's, Newfoundland, Canada AlB 3X7. Both Rota and Sweedler were pleased when the 15-17. Fourth International Conference on Mathematical University of Oklahoma was able to support their Modelling, Zurich, Switzerland. (October 1982, p. 591) joint appearance at a conference funded by the ]. C. Karcher Foundation in May, 1978. The confer­ 22-26. Seventh International Conference on Structural ence centered on lectures they gave, with S. A. ]ani Mechanics in Reactor Technology, Marriott Hotel, Chicago, lllinois. (October 1982, p. 591) assisting Rota. Sweedler lectured first on elementary coalgebra theory aimed at combinatorists, Rota on 22-26. Universal Algebra, J6zsef Attila University, Szeged, elementary combinatorics aimed at the algebraists. Hungary. (October 1982, p. 591) Both lectures converged toward those who were or 22-27. Tenth International Congress on Cybernetics, waul d work at the intersection. Sweedler and Warren Namur, Belgium. (October 1982, p.591) Nichols prepared notes of Sweedler's talks and ]ani 26-31. Conference on Combinatorial Groups, Busan and Rota of Rota's and a mimeographed version was National University, Pusan, Korea. circulated by the Oklahoma Mathematics Department. Program: Topics include combinatorial group theory and The present volume makes these more accessible. related topics. There will be invited speakers and The Sweedler notes here are essentially unchanged presented papers by participants. from those distributed by Oklahoma. They aim, in a Speakers: G. Baumslag (New York), R. C. Lyndon (Ann direct and elementary way, to give the reader suffi­ Arbor), D. M. Solitar (York, Canada), and J. Wiegold cient knowledge of coalgebra theory to understand (Cardift). the coalgebra formulation of special sequences of Information: A. C. Kim, Department of Mathematics, The polynomials. Busan National University, Pusan, Korea. The Rota notes are reproduced from Studies in Applied Mathematics, volume 61, and represent a AUGUST 1984 reworking of the original, with corrections and a few additions. They contain detailed applications August 1984. Fifth International Congreu on Mathematics not only to umbra! calculus, but to partition stud­ Education, University of Adelaide, Australia. (June 1982, pp. 331, 376) ies, incidence algebras, lattice theory, and other traditional spheres of combinatoric interest. The notes form a broad survey for anyone who would like detailed and concrete examples of the areas already known to be amenable to a coalgebraic ap­ proach. 1980 Mathematics Subject Classifications: 16A24, 05820, 05-02, 16A20 Volume 6, viii + 84 pages (soft cover) List price $8, institutional member $6, individual member $4 ISBN 0-8218-5003-2; LC 81·22756 Publication date: February 1982 To order, please specify CONM/6N Prepayment is required for all AMS publications. Order from AMS, PO Box 1571, Annex Station, Providence, Rl 02901, or call 800-556-7774 to charge with VISA or MasterCard.

701 New AMS Publications

AMS Book Orders-Toll Free Number For Users of VISA, MASTERCARD. Individuals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card. The number will be attended from 8:00 a.m. to 4:15p.m. Eastern Time, Monday through Friday except on holidays. When using a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number, expiration date, and signature.

PROCEEDINGS OF SYMPOSIA j. Bel/issard Calvin C. Moore IN PURE MATHEMATICS 0/a Bratte/1 Paul S. Muhly Det/ev Buchholz john Phillips (ISSN 0082-0717} Man Duen Choi Robert T. Powers Erik Christens'en lain Raeburn Operator Algebras and Applications Ph. Combe Arlan Ramsay F. Combes jean N. Renault Richard V. Kadison, Editor Alain Connes /. R. Ringrose These volumes present a state-of-the-art account Raul E. Curto john E. Roberts of the theory of operator algebras and its applica­ Alfons van Dae/e R. Rodriguez tions. They stem from a conference that represented Kenneth R. Davidson B. Russo the first meeting dealing with the full range of the George A. Elliott Kazuyuki SaittJ subject in over thirteen years. The major part of the G. G. Emch ShO/chira Sakal volumes is expository in nature-the conference was David E. Evans Norberta Salinas arranged to survey advances and developments in Klaus Fredenhagen Geoffrey L. Sewell recent years. Many articles have been written to give Y. Friedman M. Sirugue expository descriptions of these advances. There are P. Ghez M. S!rugue-Collln groups of related articles (for example, in the theory F. Goodman Christian F. Skau of C*-dynamical systems, the theory of unbounded Rudolf Haag Erling Stprmer derivations, applications to quantum physics, and the Harald Hanche-0/sen Dennis Sullivan cohomology theory of operator algebras). There are Richard H. Herman Colin E. Sutherland major articles by many of the leading contributors R. Hoegh-Krohn Hiroshi Taka/ to the field. N. M. Hugenho/tz Hideo Takemoto The Symposium was held at Queen's University, B. Jochum Masamichi Takesaki Kingston, Ontario, July 14-August 2, 1980. It was B. E. johnson D. Testard partially supported by a grant from the National V. F. R. jones Harald Upmeier Science Foundation. Palle E. T. f¢rgensen A. Verbeure Daniel Kastler Martin E. Walter Authors included in Part one are: W. P. C. King Simon Wasserman R. j. Archbold Richard V. Kadison Burkhard Kummerer E. f. Woods William Arveson A. Kishimoto Magnus B. Landstad Paul Baum E. Christopher Lance f. D. Maitland Wright 0/a Bratteli Henri Moscovici R. Lima LOsz/6 Zsid6 Lawrence G. Brown Dorte Olesen Roberto Longo john W. Bunce William L. Paschke 1980 Mathematics Subject Classifications: 46 LOS, 46 L1 0; Hisashi Choda Gert K. Pedersen 43A80, 81 EOS, 82A 15. Alain Connes Niel.~ Vigand Pedersen Proceedings of Symposia in Pure Mathematics Joachim Cuntz L. Pukanszky Volume 38: Parts 1 and 2 (hard cover) Ronald G. Douglas jean N. Renault xix + 513 pages (Part 1); xv + 625 pages (Part 2) Edward G. Effros Norbert Riedel Set: List price $80, institutional member $60 George A. Elliott Marc A. Rieffe/ individual member $40 ' Thierry Fack jonathan Rosenberg Each part: List price $46, institutional member $35 Masatoshi Fujii Ciaude Schochet individual member $23 ' Elliot C. Gootman Frederic W. Schultz Part 1: ISBN 0-8218-1441-9; LC 82-11561 Part 2: ISBN 0·8218-1444-3; LC 82-11561 Philip Green Georges Skandalis Set: ISBN 0-8218-1445-1; LC 82-11561 David Handelman !jerban Stratllll Publication date: September 1982 Pierre de Ia Harpe Hiroshi Taka/ To order, please specify (Set) PSPUM/38N Richard H. Herman Yasuo Watatani (Part 1) PSPUM/38.1 N; (Part 2) PSPUM/38.2N Authors included in Part two are: Charles A. Akemann C.j. K. Batty Huzihiro Araki Horst Behncke

702 CONFERENCE PROCEEDINGS OF THE Conference Proceedings of the Canadian Mathematical Society CANADIAN MATHEMATICAL SOCIETY Volume 2: Parts 1 and 2 (soft cover) {ISSN 0731-1 036) xxiv + 516 pages (Part 1); xxiv + 484 pages (Part 2) Set: List price $42, AMS institutional member $32, individual AMS or CMS member $21 Current Trends ISBN 0-8218-6003-8; LC 82-13789 Part 1: List price $26, AMS institutional member $20, in Algebraic Topology individual AMS or CMS member $13 Richard M. Kane, Stanley 0. Kochman, ISBN 0-8218-6001-1; LC 82-13789 Part 2: List price $24, AMS institutional member $18, PaulS. Selick, and Victor P. Snaith, Editors individual AMS or CMS member $12 ISBN 0-8218-6002-X; LC 82-13789 Current trends in algebraic topology is the pro­ Publication date: October 1982 ceedings of a conference by the same name held at To order, please specify (Set) CMSAMSI2N (Part 1) CMSAMS/2.1 N, (Part 2) CMSAMSI2.2N the University of Western Ontario, London, Ontario from June 29 to July 10, 1981. It contains papers which were presented at the conference and some related papers. MEMOIRS OF THE The book contains research papers in topology AMERICAN MATHEMATICAL SOCIETY and so potential readers should be at least at the {ISSN 0065-9266) level of graduate students in topology. Since the book is a collection of research papers from different Irregular Singularities areas, papers of interest to any individual will vary according to his or her research interests. Anyone in Several Variables doing research in topology is likely to find some A. R. P. van den Essen and A. H. M. Levett papers of interest. Contents of Part 1 It is well known that in the case of formal power ALGEBRAIC K-THEORY, with papers by R. Charney, series in one variable the matrix of a differential op­ M. Karoubi, E. Lluis-Puebla and V. Snaith, V, erator (with irregular singularities) can be brought Snaith (two papers), C. Soule, J. Stienstra, R. into Jordan canonical form eventually, after extract­ Thomason, and F. Waldhausen ing a. root of the variable in question. In this Memoir a suitable generalization of this re­ GENERALIZED HOMOLOGY AND COHOMOLOGY, sult to several variables is given. It is proved that in with papers by J. Boardman, P. Landweber and the case of formal power series in n variables the Z. Yosimura, H. Miller and V. Snaith, D. Ravenel, matrices of n pairwise commuting differential opera­ and R. Seymour tors, with so called unmixed irregular singularities, HOMOTOPY THEORY, with papers by R. Bruner, can be brought into Jordan form simultaneously. F. Cohen, D. Davis and M. Mahowald, J. Neisen­ CONTENTS dorfer and P. Selick, and P. Selick 1. Introduction H-SPACES, with papers by J. Harper and R. Kane 2. Statement of the theorem ORDINARY HOMOLOGY AND COHOMOLOGY, 3. Preliminaries to the proof of Theorem 1 with papers by A. Bahri, A. Baker, S. Kochman, 4. Proof of the theorem D. Kraines and T. Lada, J. McCleary, S. Papastav­ 5. Proof of the eigenvalue lemma ridis, and D. Pengelley 6. Proof of the generalized splitting lemma Contents of Part 2 7. Irregular singularities; the nilpotent case ALGEBRAIC VARIETIES, with papers by P. Baum, 8. Appendix W. Browder and N. Katz, and J. Harper and R. 1980 Mathematics Subject Classifications: 4 7 F05, 34A25, 58A17 Mandelbaum Memoirs of the American Mathematical Society GROUP ACTIONS, with papers by A. Assadi, H. Memoir Number 270, iv + 44 pages (soft cover) Dovermann, I. Hambleton and I. Madsen, S. lllman, List price $4, institutional member $3, S. Kahn, L. G. Lewis, J. P. May and J. E. McClure, individual member $2 T.-Y. Lin, A. Liulevicius, J.P. May and E. ISBN 0-8218-2270-5; LC 82-18161 J. Publication date: November 1982 McClure, T. Petrie, R. Schultz, J. Tornehave, M. To order, please specify MEM0/270N Wang, and A. Zabrodsky MANIFOLDS AND STRUCTURES ON MANIFOLDS, with papers by M. Frame, J .-C. Hausmann, W.-C. The Symplectic Cobordism Ring II Hsiang and B. Jahren, N. Levitt, and S. Wein­ Stanley 0. Kochman berger TRANSFER, with papers by H. Miller, H. Munkholm This Memoir is the second of three which investi­ and E. Pedersen, and H. Munkholm and A. gate the ring n~ of cobordism classes of closed Ranicki smooth manifolds with a symplectic structure on 1980 Mathematics Subject Classifications: 55-06; 18 F25, their stable normal bundle. The method of computa­ 55N20, 55N22, 55P35 & others. tion is the mod two Adams spectral sequence. The

703 third paper will apply the results of the first two 1980 Mathematics Subject Classifications: 55N22, 55T15, papers to study Image[ fl.SP --+11"*], Image[~ --+fl.SP], 57N90, 55S10 the images of the Hurewicz homomorphisms, splitting Memoirs of the American Mathematical Society Memoir Number 271, viii + 172 pages (soft cover) the spectrum MSp, higher torsion in il~P and to List price $10, institutional member $8, compute ns;' 0 ,.;;;, n ,.;;;, 100. individual member $5 In this paper the drdifferentials are computed ISBN 0·8218·2271-3; LC 79·27872 using Landweber-Novikov operations and Massey Publication date: November 1982 product methods. Several new theorems are proved To order, please specify MEM0/271 N which relate differentials, nontrivial extensions and Massey products in a spectral sequence. A theory of which organizes generators, rela­ families is developed PROCEEDINGS OF THE tions and differentials in the spectral sequence into sequences of elements which are interrelated by Land­ STEKLOV INSTITUTE weber-Novikov operations. Cup-one products are in­ (ISSN 0081-5438) troduced into the theory of bordism chains and are used in the construction of a filtered complex to represent an Adams spectral sequence. Multiple Trigonometric Sums These methods of analyzing a complicated Adams G. I. Arhipov, A. A. Karacuba and V. N. Cubarikov spectral sequence are applicable in a wide variety of either contexts. CONTENTS CONTENTS Basic Notation Introduction Introduction 8. d3 differentials on £j•0 of the Adams spectral I. Theorem on the mean value sequence II. Estimates for multiple trigonometric sums 9. A qualitative description of the Adams spectral Ill. Applications of the theory of multiple trigono­ sequence metric sums 10. Cup-one products of manifolds with rigid B-struc­ 1980 Mathematics Subject Classifications: 10G10; 10B15, ture 12C25 11. Construction of a complex to represent an Adams Proceedings of the Steklov Institute spectral sequence Volume 151, viii + 126 pages (soft cover) List price $42, institutional member $32, 12. Differentials, nontrivial extensions and Massey individual member $21 products ISBN 0-8218-3067-8; LC 82-18403 13. d3 differentials in the Adams spectral sequence Publication date: October 1982 Errata to Part I To order, please specify STE KL0/151 N

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LECTURES IN APPLIED MATHEMATICS

MATHEMATICAL ASPECTS J. L. Stephenson, Case studies in renal and epithelial OF PHYSIOLOGY physiology ). E. Wood, A statistical mechanical model of the edited by Frank C. Hoppensteadt molecular dynamics of striated muscle during This book contains the lectures given at a Sum­ mechanical transients mer Seminar jointly sponsored by the AMS and D. Schenzle, On neuroendocrine control of ovarian of Utah in 1980. 51 AM at the University function The seminar was intended as an introduction to A. T. Winfree, Peculiarities in the impulse response of mathematical methods which are widely used in the pacemaker neurons analysis of physiological phenomena. A core series ). Rinzel, Models in neurobiology of lectures by C. S. Peskin, in depth case studies by J. P. Keener, Chaotic cardiac dynamics R. Skalak, J. Stephenson,). Wood, A. T. Winfree, F. C. Hoppensteadt, Electrical models of neurons and J. P. Keener, background lectures by J. Rinzel, ). Bell, Threshold and conduction in prototype models W. S. Childress, H. T. Banks and F. C. Hoppensteadt, of myelinated nerve axons. A preliminary report. as well as seven contributed reports are reproduced D. L. Barrow, Threshold for a reaction-diffusion in these proceedings. The program was organized by equation related to nerve conduction · F. C. Hoppensteadt, ). B. Keller,). Rinzel, ). U. an der Heiden, M. C. Mackey, and H. 0. Walther, Stephenson, and P. Waltman. The proceedings were in a simple deterministic prepared by the American Mathematical Society with Complex oscillations partial support from the National Science Foundation neuronal network techniques for and the National Institutes of Heal\h sponsors: the H. T. Banks, Parameter identification Fogarty International Center; the National Institute physiological control systems of Arthritis, Metabolism and Digestive Diseases; and W. T. Kyner and G. A. Rosenberg, Parameter estima­ the Division of Computer Research and Technology tion techniques used in the determination of the under a National Institutes of Health Grant. bulk flow of brain interstitial fluid evoked acetyl­ CONTENTS j. Wiskin, Modelling of stimulation neurons and C. S. Peskin, Lectures on mathematical aspects of choline release from myenteric physiology estimation of the parameters R. Skalak, Blood rheology S. Childress, Aspects of physiological fluid mechanics Volume 19, vi + 394 pages (hard cover) R. Mendez, Numerical study of incompressible flow List price $38.00, institutional member $29, individual member $19.00 in a region bounded by elastic walls ISBN 0-8218-1119-3; LC 81-1315 T. W. Secomb, Kinematics of close-packed red blood Publication date: May 1981 cells in shear flow To order, please specify LAM/19N

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706 Miscellaneous

Personal Items Scott Rimbey of the University of California, Los Angeles, has been appointed a Postdoctoral Fellow Lamberto Cesari, R. L. Wilder Professor of at Rensselaer Polytechnic Institute for the 1982-1983 Mathematics at the University of Michigan, Ann academic year. Arbor, has been elected a member of the Italian Dana S. Scott of Carnegie-Mellon University has National Academy (Lincei). been named University Professor of Computer Science Richard E. Ewing, Head of Mathematical Re­ and Mathematical Logic at that university. search for Mobil Oil, has been appointed as the J. E. Warren Visiting Professor of Energy and Environment Deaths at the University of Wyoming for the academic year 1982-1983. Sergei Maslov of Leningrad, USSR, died in July Eli Isaacson of Rockefeller University has been of 1982 at the age of 43. He was a member of the appointed to an assistant professorship at the Society for eight years. University of Wyoming. Paul Bryan Patterson of Boone, North Carolina Philip Leonard of Arizona State University has died on August 29, 1982 at the age of 81. He was a been appointed to a visiting professorship at the member of the Society for 32 years. University of Wyoming.

Visiting Mathematicians (Supplementary List}

The following lists of visiting mathematicians include both foreign mathematicians coming to the United States and Canada, and Americans going abroad. The original lists appeared on pages 382-384 of the June 1982 Notices; supplemen· tary lists appeared on pages 474-476 of the August 1982 issue, and on pages 592-593 of the October 1982 issue.

American Mathematicians Visiting Abroad

Name and Home Host Institution Field of Special Interest Period of Visit DiPrima, Richard C. (U.S.A.) Imperial College, England Fluid Mechanics 8/82· 1/83 lnstituto del Consiglio Nazionale 2/83 delle Richerche, Italy Weizmann Institute of Science 3/83· 6/83 Ecker, joseph (U.S.A.) Ecole Polytechnique Federale, Linear Programming 9/82· 6/83 Switzerland Sibner, R. ]. (U.S.A.) University of Bonn, West Complex Analysis, Partial 6/82· 1/83 Germany Differential Equations

Visiting Foreign Mathematicians

Clarke, Graham (Australia) University of Arkansas Semigroup Theory 8/82- 6/83 Huang, Hau Min (Taiwan) University of Wyoming Combinatorics, Computer Science, 8/82· 5/83 Differential Geometry Huang, Qichang (People's Southern Illinois University 8/82- 8/83 Republic of China) Kranz, Przemyslaw (Poland) University of Arkansas Topological Lattices 8/82· 6/83 Lin, ]eng-Eng (Taiwan) University of Wyoming Applied Mathematics 8/82. 5/83

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U.S. LAWS PROHIBIT discrimination in employment on the basis of color, agE", sex, race, religion or national origin. ''Positions Available'' advertisements from institutions outside the U. 5. cannot be published unless they are accompanied by a statement that the institution does not discriminate on these grounds, whether or not it is subject to U.S. laws. Details and specific wording may be found on .page 95 of the january 1982 issue 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 SYRACUSE UNIVERSITY Tenure-track renewable faculty position is available at the East Carolina University assistant professor level. Research potential is of prime impor­ Mathematics Department, Greenville NC 27834 tance; Ph.D. is required, with specialization in numerical analysis or in a closely related field, together with sufficient Applications are invited for two tenure-track positions (rank graduate study in numerical analysis to teach graduate and salary commensurate with credentials) beginning Fall, courses in the area. Applications must include a detailed 1983. One position is in the area of Computer Science and vita. Each candidate should arrange for three letters of refer­ the other in the area of either Mathematics or Statistics. ence and a transcript to be sent. Complete applications are Candidates for each position must have a Ph.D. Degree in a due February 15, 1983. Applications should be sent to Mathematical Science; in addition, candidates for the Com­ Professor L. J, Lardy, Chairman, Department of Mathematics, puter Science position should have the equivalent of a Syracuse University, Syracuse, NY 13210. Master's Degree in Computer Science. Applicants must have An AA/EO employer. a strong commitment to both research and teaching. Send resume and three recent letters of reference to Gary Richard­ GEORGIA INSTITUTE OF TECHNOLOGY Atlanta, Georgia 30332 son. EO/AAE. The School of Mathematics expects to have available some visiting and tenure-track positions beginning in the The Department of Mathematics and Statistics at Mississippi fall quarter of 1983. Excellent accomplishment or potential State University anticipates two or more tenure-track posi­ in research is required. Applications should be made to the tions at the Assistant Professor level for the 1983-1984 aca­ Director, School of Mathematics, Georgia Institute of Tech­ demic year. A Ph.D. is preferred. Responsibilities include nology, Atlanta, Georgia 30332. Georgia Tech, a unit of teaching and research. Candidates should submit a vita and the University System of Georgia, is an Equal Education three letters of recommendation by january 15, 1983, 1983, and Employment Opportunity Institution. to J, L. Solomon, Head, Department of Mathematics and Statistics, Mississippi State, MS 39762. Mississippi State Univ­ ersity is an equal opportunity /affirmative action employer. Southwest Texas State University, San Marcos, Texas 78666. Applications are invited for positions beginning Fall 1983: BOSTON UNIVERSITY Assistant or Associate Professorships in Computer Science, tenure and non-tenure track. Applicants should have a Ph.D. DEPARTMENT OF MATHEMATICS in computer science (or closely related area) or extensive The Department of Mathematics at Boston University antic­ experience in computer science. Preference will be given to ipates several openings at the Assistant and Associate Profes­ candidates in Computer Science Education. Responsibilities sor levels beginning September, 1983. Fields unrestricted. include undergraduate and graduate teaching and curriculum Women and minorities especially encouraged to apply. Vita development. and three letters of reference to Dennis Berkey, Chairman, Boston University, 264 Bay State Road, Boston, MA 02215. Assistant or Associate Professorships In Mathematics, tenure Boston University is an Equal Opportunity/Affirmative and non-tenure track. Applicants should have a Ph.D. in Action Employer. mathematics (or closely related area) and demonstrate poten­ tial for excellence in research and teaching. Preference will be given to candidates with research interests in number Computer Science/Computer Related Mathematics theory, quadratic forms, or mathematics education. Appli­ Applicants are invited for a tenure-track position starting cants in differential equations, operations research, and January 1983. Appointment level: Instructor to Associate geometric topology are also invited to apply. Professor. Salary range: $15,135 to $29,559. Outstanding Instructorships, non-tenure track. Applicants should have an fringe benefits. Requirements include ability to teach, and M.A. or equivalent in mathematics or computer science (or a knowledge of and a commitment to computing. We re­ closely related area), and demonstrate excellence in teaching quire strength in at least one of software engineering, pro­ or teaching potential, and be willing to participate in faculty gramming languages, algorithms, computer architecture, seminars and committee projects. Substantial experience is artificial intelligence, or computational complexity. Please desired for Computer Science applicants. send resume, transcripts, and three (3) letters of recommen­ dation to: Screening Committee, Department of Mathemat­ Salary and rank commensurate with qualifications and exper­ ics and Computer Science, Slippery Rock State College, ience. Applications should be completed by February 15, Slippery Rock, PA 16057. Deadline for assured considera­ 1983 (late applications will be considered if openings exist). tion: November 22, 1982. Information concerning specific positions is available from Dr. John Spelimann, Chairman, Dept. Math/C. S. SWTSU is Affirmative Action/Equal Opportunity Employer an Equal Opportunity/Affirmative Action Employer.

708 POSITIONS AVAILABLE RICE UNIVERSITY MATHEMATICS DEPARTMENT POSITION IN OPERA T/ONS RESEARCH Applications are invited for eesearch/teaching positions in The Mathematical Sciences Department of Rice University the fields of algebra, analysis, geometry, or topology at the expects to have a position in Operations Research available rank of assistant professor or higher. beginning Fall, 1983. Although the position is expected to Send inquiries to: be at a senior level, applications at all levels are invited. Chairman, Appointments Committee Primary duties include providing leadership in teaching, Mathematics Department research, and direction of graduate students in the depart­ Rice University ment's Operations Research program. The department cur­ Houston, Texas 77251 rently has responsibilities in the areas of computer science, A.A./E.O.E. numerical analysis, operations research, probability, statistics, and physical mathematics and biomathematics. The depart­ MICHIGAN TECHNOLOGICAL UNIVERSITY, Several ment has an active undergraduate and graduate program in tenure-track positions in applicable mathematics (e.g., proba­ these areas. If interested, please send resume and names of bility, fluid mechanics, ODE, PDE, etc.) statistics, differen­ four references to Professor Richard Tapia tial geometry, operations research, numerical analysis and Chairman, Mathematical Sciences Dept. computer science, as well as visiting positions are available. Rice University Assistant or associate professors preferred. Excellent re· P.O. Box 1892 search and teaching are required. MTU is a strong engineer­ Houston, Texas 77251 ing school with good students and consulting possibilities. Houghton has temperatures moderated by Lake Superior with a great deal of snow and recreational activities. To Applied Mathematics apply, write Dr. Richard Millman, Head, Department of University of Alabama in Birmingham Mathematical and Computer Sciences, Michigan Technologi­ A tenure-track position for teaching and research in applied cal University, Houghton, Michigan 49931. MTU is an mathematics. Assistant or Associate Professorship according equal opportunity educational institution/equal opportunity to qualifications. Any area of applied mathematics will be employer. considered. Departmental members are currently active in nonlinear wave dynamics, mathematical modeling and opera­ The Department of Mathematics and Statistics, University tions research. UAB is a young and growing urban university of South Alabama, is accepting applications for at least two with 14,000 students and 7,000 faculty and staff. Birming­ tenure-track positions at the rank of Assistant Professor. A ham is a major commercial and industrial center located in successful applicant must possess a Ph.D. in Mathematics. central Alabama having warm summers and mild winters. Preferred specialties include differential equations, functional Summer teaching is optional and is normally available at 1/3 analysis, geometric topology, number theory, and numerical of academic salary. Send letter of application, resume, and analysis. The duties of these positions include teaching three letters of reference to Dr. J. Buckley, Mathematics undergraduate and graduate mathematics courses, carrying Department, University of Alabama in Birmingham, Birming­ out research or other creative activity, and contributing to ham, AL 35294. Application deadline is January 31, 1983. a scholarly atmosphere. The appointment will begin UAB is an Affirmative Action/Equal Opportunity Employer. September 1983. Applicants should send a detailed resume, transcripts, and three letters of recommendation to Dr. S. Gene Crossley, Chairman, Department of Mathematics and The Department of Mathematics anticipates at least three Statistics, University of South Alabama, Mobile, Alabama positions to begin August 16, 1983. These positions are 36688. The closing date is March 1, 1983. USA is an tenure-track; salary and rank depend on qualifications. Can­ equal opportunity /affirmative action employer. didates whose research is in applied mathematics, numerical analysis, control theory or those in partial differential equa­ MASSACHUSETTS INSTITUTE OF TECHNOLOGY tions, ordinary differential equations and/or integral equa­ The Program in Science, Technology, and Society at MIT tions whose research is motivated by applications, will be invites applications from scientists, engineers, and physicians considered. for several one-year study fellowships on the relationships Applications will be accepted until positions are filled. of science, technology, or medicine with society. Ph.D. or Send complete vita and the names of three references to equivalent in science or engineering is desirable. Partial or Samuel M. Rankin Ill, Associate Chairman, Department of full stipend available. Deadline: February 1, 1983. For Mathematics, West Virginia University, Morgantown, WV more information write: Kenneth Keniston, Chairman, 26506. Mellon Fellowship Committee, E51-210, MIT, Cambridge, An affirmative Action/Equal Opportunity Employer. MA 02139. MIT is an equal opportunity/affirmative action employer. Applications are invited for an assistant professor posi­ tion in the general areas of nonlinear differential equations UNIVERSITY OF ALABAMA IN HUNTSVILLE and global analysis. The successful candidate must have out­ Department of Mathematics standing research potential and have demonstrated excel­ One or more tenure-track positions beginning September 1, lence in teaching. Exceptionally well-qualified persons, 1983. Rank and salary commensurate with experience and whose background and experience warrant a tenure-level credentials. Strong evidence of excellent research ability appointment are also encouraged to apply. The research and a specialty area of numerical analysis, differential equa­ focus of the candidate should be among the following areas: tions (ordinary or partial). mathematical modeling, or op­ timization is required. Funded research experience is highly dynamical systems, global or qualitative theory of nonlinear desirable. The University of Alabama in Huntsville has over partial differential equations, or modern mathematical 6,000 students and offers graduate degrees in all mathemati­ physics. Resumes and 3 letters of recommendation should cal science, natural science, and enginneering disciplines. be sent prior to January 15, 1983 to James B. Robertson, Send letter of application, vita, and three letters of reference Chairperson, Department of Mathematics, Santa Barbara, CA to F. L. Cook, Chairman, Department of Mathematics, The 93106. University of Alabama in Huntsville, Huntsville, Alabama The University of California, Santa Barbara, is an equal 35899. Screening of applicants will begin February 1, 1983. opportunity/affirmative action employer. The University of Alabama in Huntsville is an Equal Oppor­ tunity/Affirmative Action Institution.

709 POSITIONS AVAILABLE YORK UNIVERSITY DEPARTMENT OF MATHEMATICS The Department of Mathematics at York University invites Cumberland College, a four year, church-related liberal applications for several tenure-track positions at the Assis­ of approximately 1,800 students in the moun­ arts college tant Professor level, and several limited term (one-, two-, for two tains of Eastern Kentucky invites applications or three-year) positions, commencing July 1983 (subject to professor tenure-track positions at the assistant/associate Senate and budgetary approval). Special consideration will level in mathematics and computer science. be given to applicants in statistics, especially applied statis­ Mathematics: Ph.D. required. Duties include teaching tics, and operations research. Cross appointments with other upper level college mathematics. Experience in Computer departments are possible. Vita and three letters of reference Science and college level teaching desired. should be sent to P. Olin, Chairman, Mathematics, York Computer Science: Assistant Director of Computer University, Downs view (in Toronto), Ontario M3 J 1 P3. In Services. Experience with BASIC, COBOL, FORTRAN is accordance with Canadian Immigration requirements, this required. Duties include development and installation of ad is directed to Canadian citizens and permanent residents college related software. of Canada. Salaries and fringe benefits are competitive. Send application, letters of recommendation, and current vita to: Joseph E. Early DEPARTMENT OF STATISTICS, PRINCETON UNIVERSITY Academic Dean We have openings for an Assistant Professor and for Visit­ Cumberland College ing Faculty, beginning September 1983. Candidates should Williamsburg, Kentucky 40769 have teaching experience and evidence of research ability. Junior faculty at Princeton are encouraged to work on spon· Mathematics. Assistant or Associate Professor. Begin Jan­ sored research projects or on their own research in lieu of.some uary 1983. Tenure-track position. Doctorate required; teach in g. Among candidates of equal quality, preference will teaching experience preferred. Computer competence a be given to those with experience or interest in two or more of: definite plus. Teach broad range of courses. Rank and theoretical questions; applications of statistics and data analy­ salary dependent upon preparation and experience. Send sis; innovative statistical use of computers. The Department letter of application, resume, and placement papers to: has its own Digital Equipment Corporation VAX-11/750. Dwight C. Stewart, Dean of the Faculty, Union College, The Department encourages applications from women and Barbourville, KY 40906. Deadline: November 19, 1982. members of minority groups. Apply to: G. S. Watson, Acting Union College is affiliated with the United Methodist Chairman, Department of Statistics, Princeton University. Church and is an Affirmative Action, Equal Opportunity Fine Hall, P.O. Box 37, Princeton, NJ 08544. Employer.

ASSISTANT PROFESSOR IN MATHEMATICS SPECIAL ANOUNCEMENT The Department of Mathematics at Oregon State University William H. Roever Lectures in Geometry invites applications for a possible Assistant Professor (tenure­ Washington University track) position in Mathematics beginning September 1983. St. Louis, MO 63130 All areas in mathematics will be considered. A Ph.D. or the equivalent is required. Duties include re­ Professor John Milnor of the Institute for Advanced search activity, teaching six to eight class hours per week. Study (Princeton) will give the inaugural lectures of an Salary $21,000-22,500, depending on qualifications. The annual series, the William H. Roever Lectures in Geometry, closing date for applications is January 15, 1983. on January 10-14, 1983, the week following the AMS For further information, write to: winter meeting, at Washington University (St. Louis). There Dr. Richard M. Schori, Chairman will be five lectures on topics to be announced later. Department of Mathematics Anyone interested in attending should contact Professor Washing­ Oregon State University William M. Boothby, Department of Mathematics, informa­ Corvallis, OR 97331 ton University, St. Louis, MO 63130 for further tion. Attn: Staff Selection Committee Oregon State University is an Affirmative Action/Equal Opportunity Employer and complies with Section 504 of the FOR SALE Rehabilitation Act of 1973.

The UNIVERSITY of PITTSBURGH Learn about computers. Send $7 for our 50-page workbook, the Computer Primer, or write for our free brochure. Applications invited for 2 to 4 junior-level tenure-track American Reveille Publishing Company, Box 7436 Chicago faculty positions anticipated in 1983. Preferred areas: analy­ 60680. ' sis, applied mathematics (PDE), combinatorics, numerical analysis. Present teaching loads: 2 classes per term, 2-term 8-month academic year. Evidence of good research, effective MATH SCI PRESS, 53 Jordan Rd., Brookline, MA 02146. teaching abilities required. C. V., 4 letters of recommenda­ 617-738-0307. Publisher (32 titles) of cross-disciplinary tion, reprints, preprints should be sent to W. E. Deskins, work between geometry and Lie groups (history and fron­ Chairman, Department of Mathematics & Statistics, University tiers), physics and systems. Translations of Klein, Lie, Ricci of Pittsburgh, Pittsburgh, Pennsylvania 15260. and Levi·Civita. Discounts to scholars, students and to U. P. is an Equal Opportunity/Affirmative Action Employer. libraries for large or standing orders.

710 MATHEMATICS IN THE SUNBELT TENURE Tenure Track and Visiting Positions Univ. of Calif. Berkeley, Dept. of Math., OKLAHOMA STATE UNIVERSITY Berkeley, CA 94720

POSITIONS: Tenure track assistant and associate S. Smale, Vice-Chairman for Faculty professors; visiting appointments at all levels. Appointments BEGINNING: September 1, 1983 One tenure faculty position anticipated DUTIES: Active research program and teaching pending budgetary approval, effective Fall load of no more than two courses per semester. 1983, with the rank to be determined by MINIMUM QUALIFICATIONS: Ph.D. in mathe­ qualifications, in the areas of algebra, analy­ matics; research achievement or potential; com­ mitment to teaching. sis, applied mathematics, foundations or DEADLINE: January 15, 1983 for full considera­ geometry. Applicants should have demon­ tion, strated substantial achievement in research WRITE TO: and teaching. Send by December 15, 1982, William Jaco, Head curriculum vitae, list of publications, a few Department of Mathematics selected reprints or preprints, and the names Oklahoma State University of referees. The University of California Stillwater, Oklahoma 74078 3 is an Affirmative Action Employer. Oklahoma State is an equal opportunity employer.

': .. open up fields of seemingly inexhaustible wealth." Prof. Alexander Grothendieck SSS' HIGHLY ACCLAIMED companion volumes on new properties & methods of analysis of general algebra­ ic curves & their invariants under inversion.

SYMMETRY, An Analytical Treatment CURVES & SYMMETRY, vol. 1 by J. Lee Kavanau by J. Lee Kavanau August,1980, 656pp., illus., $29.95 Jan.,1982, 448pp., over 1,000 "One of the most original treatments of plane indiv. curves, $21.95, $47 the set curves to appear in modern times. The author's "Casts much new light on inversion & new and deeper studies... reveal a great number its steneralization, the linear fraction­ of beautiful & heretofore hidden properties of al­ al (Moebius) transformation, with gebraic plane curves." Prof. Basil Gordon promise of increasing their utility by an order of magnitude:' Prof. Richard Fowler "Provides sharp new tools for studying the prop­ erties of general algebraic curves." "Replete with fascinating, provocative Prof. Richard Fowler new findings ... accompanied by a wealth "Striking new results on symmetry & classifi­ of beautiful & instructive illustrations:' cation of curves ... Read this book for more in sym­ Prof. Basil Gordon metry than meets the eye." Amer. Math. Monthly,1981 "Extends the idea of inversion into quite a new field." E. H. Lockwood "Represents tremendous amounts of new in­ formation." Prof. Morris Newman "Examines many classical curves from new standpoints!' Nordisk Matern. Tids.,1982 Send SASE for Geometry Competition details. BankAmericard· 213· 477·8541- Master Card Science Software Systems, Inc., 11899 W. Pi co Blvd., Los Angeles, Calif., 90064

711 THE MATHEMATICS DEPARTMENT of the UNIVERSITY OF UTAH UNIVERSITY OF FLORIDA DEPARTMENT OF MATHEMATICS announces the opening of three tenure- invites applications for the following positions track assistant professorships beginning 1. Three or four non-renewable 3-year Instructor­ August, 1983. Those applying for these po­ ships. Persons of any age receiving Ph.D. degrees sitions should have demonstrable research in 1982 or 1983 are eligible. Applicants will be selected on the basis of ability and potential in potential. Of particular interest are appli­ teaching and research. Starting salary will be cants with the following research specialties: approximately $21,500. Duties consist of teach­ numerical analysis, partial differential equa­ Ing two courses through the academic year. tions, linear algebra, probability and stochas­ 2. One visiting position of one year or less. Selec­ tic processes. The academic year salary for tion criteria will be teaching ability and poten­ each of these positions will be between tial contribution to our research environment. $20,000 and $27,000. Applicants should 3. One or two permanent senior level positions may become available. Selection will be based provide a resume, a list of publications, and on availability of funds, research expertise and should arrange for at least three letters of teaching ability. reference to be sent to: Applications should include curriculum vita, bibliography and three references and should Mark L. Teply be sent by February 1, 1983 to: Chairman, Search and Screen Committee Committee on Staffing Department of Mathematics Department of Mathematics University of Florida University of Utah Gainesville, Florida 32611 Salt Lake City, Utah 84112 The application deadline is January 24,1983. The University of Utah is an equal opportunity - affirmative action employer. The University of Florida is an equal opportunity employer.

MATHEMATICS STATE UNIVERSITY OF NEW YORK AT BUFFALO The Department of Mathematics expects to award a George William Hilf/Emmy Noether Research Instructorship for 1983-84. Applicants should be Ph.D's whose degrees will be completed by September 1, 1983, appointment being for two years. The ten-month stipend, beginning September 1, 1983 $22,000 plus generous staff benefits. Teaching load will total two one-semester courses during the ten- month period. Upon expiration of the two-year appointment, priority consideration for a two-year appoint­ ment as assistant professor will be given and will be based upon success and potential in both research and teaching. Each applicant should prepare a summary of his or her post-high school educational background, as well as a sketch of past and projected research activity. FIELD: Pure or Applied Mathematics. The Department of Mathematics expects to appoint at least one Assistant or Associate Professor for a term beginning September 1, 1983. Salary will be competitive. Outstanding applicants in all fields of mathe­ matics are encouraged to apply; priority will be given to applicants in algebraic or differential topology and applied mathematics (including combinatorics). The Department of Mathematics expects to appoint at least one Assistant Professor for a term beginning September 1, 1983. Salary will be competitive. Outstanding applicants in all fields of mathematics are encour­ aged to apply; priority will be given to applicants in discrete applied mathematics. We seek applicants with high research potential and a strong commitment to teaching. Application forms are available upon request. Applicants should send any supporting information and have four letters of recom­ mendation sent to: Dr. Zbigniew Zielezny, Search Committee Chairman Department of Mathematics, SUNY Buffalo 1 06 Diefendorf Hall Buffalo, New York 14214 The deadline for applications is December 15, 1983. SUNY/Buffalo is an Equal Opportunity/Affirmative Action Employer. We are interested in identifying prospective minority and women candidates. No person, in whatever relationship with the State University of New York at Buffalo, shall be subject to discrimination on the basis of age, creed, color, handicap, national origin, race, religion, sex or military veteran status.

712 TENURE TRACK l71171 Univ. of Calif. Berkeley, Dept. of Math., Berkeley, CA 94720 S. Smale, Vice-Chairman for Faculty FACULTV POSITION Appointments MATHEMATICS One tenure track faculty position anticipated, The Science and Mathematics Department at GMI Engineering & Management Institute pending budgetary approval, effective Fall has an opening for a tenure track position in 1983, at the assistant professor level, in the Mathematics beginning as soon as possible. Required, Ph.D. in Mathematics or Statistics, areas of algebra, analysis, applied mathemat­ and commitment to undergraduate teaching. ics, foundations or geometry. Applicants Preference will be given to applicants with experience in applied mathematics or statis­ should have demonstrated potential in tics. GMI is a fully-accredited undergradute research and teaching. Send by December college offering degree programs in Electri­ cal, Industrial and Mechanical Engineering, 15, 1982, curriculum vitae, list of publica­ and in Industrial Administration. Letters of tions, a few selected reprints or preprints, application and three letters of recom­ mendation should be sent to Professor and the names of 3 referees. The University Duane D. McKeachie, Science and Mathe­ of California is an Affirmative Action matics Department, GMI Engineering & Employer. Management Institute, 1700 West Third Avenue, Flint, Michigan 48502-2276. Review of resumes will begin immediately. An Equal Opportunity/Affirmative Action Employer.

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Department of Mathematics THE OHIO STATE UNIVERSITY UNIVERSITY OF HOUSTON Department of Mathematics (Central Campus) The Department of Mathematics of the Univer­ Research Instructorships in Mathematics sity of Houston, Central Campus, hopes to fill a number of positions for the coming academic year. Applications are invited for the position Applications, or nominations, are especially in­ of research instructor in mathematics for vited for a University Professorship. The holder of the academic year 1983/84. Candidates this chair should have extensive research Interests and achievements in applied or applicable mathe­ should hold a Ph.D. (or equivalent) in math­ matics. This includes partial differential equations, ematics and show strong research promise. dynamical systems, and numerical analysis. The position is renewable up to two addi­ A number of other positions, both tenured and tenure-track are expected to be available. One tional years. position will Involve teaching in, and working with, Please send credentials and have letters the University Honors Program. All appointees of recommendation sent to: will be expected to be involved in mathematical research. Professor Alan Woods All inquiries or applications should be sent to: Department of Mathematics Professor Garret J. Etgen The Ohio State University Chairman, Department of Mathematics University of Houston, Central Campus 231 W. 18th Avenue Houston, Texas 77004 Columbus, Ohio 43210 The University of Houston is an equal The Ohio State University is an Equal opportunity/affirmative action employer. Opportunity/Affirmative Action Employer.

713 PROCEEDINGS OF SYMPOSIA IN APPLIED MATHEMATICS LOYOLA COLLEGE - MATH DEPT. Baltimore Campus GAME THEORY AND ITS APPLICATIONS 4501 North Charles Street edited by William F. Lucas Baltimore, MD 21210 This volume contains the lecture notes prepared One permanent, full-time, non-tenure track by the speakers in the short course on Game Theory and its Applications given in Biloxi, Mississippi in position as Adjunct Instructor or Assistant 1979. Professor of Mathematics is available begin­ Game theory has been a topic of broad interest as a purely theoretical subject which has relation­ ning Fall '83. Masters degree in some mathe­ ships to many other mathematical areas, and also as matical science required. Duties include a subject widely used in applications over a large variety of problem areas. It is concerned with mathe­ teaching 4 courses at the 100 and 200 level matical models for situations involving conflict and/ each semester. or cooperation. These arise in a fundamental way throughout the behavioral and decision sciences. Send resume, college transcripts and 3 letters Game theory has become a basic modeling technique of recommendation to: in much of modern economic theory, political sci­ ence, sociology, and operations research, and it has Dr. John C. Hennessey, Loyola College frequently been applied to many other fields. It is a subject highly suitable for joint research of an inter­ 4501 N. Charles Street disciplinary nature. Baltimore, MD 21210. This volume is concerned mostly with the n-per­ son theory (n ;;;. 3}, although chapter 6 also describes Resumes submitted after January 1, 1983 several basic two-person models. The first five chap­ may not be considered. ters deal for the most part with the multiperson co­ operative games in the characteristic function (coali­ Affirmative Action Employer tional} form. The normal (strategic} form and the extensive (tree} form of a noncooperative game are stressed in chapter 6, although some basic definitions for the normal form do appear in an earlier chapter. Selected applications of the theory which are covered here in some detail include economic market games, measuring power in political systems, equitable allo­ BOUNDARY VALUE PROBLEMS cation of costs, and auctions. Many of the important FOR ELLIPTIC recent uses of game theory have involved the n-per­ PSEUDODIFFERENTIAL EQUATIONS son cooperative models. by G. I. Eskin, translated by 5. F. Smith These lectures were presented to an audience of The English edition differs from the Russian in mature mathematicians. Nevertheless, this volume that an Introduction and three new sections ( §§ 25- could also serve as a textbook for a general course 27} have been added. Moreover, various corrections, in game theory at the upper division or graduate improvements and remarks have been made by the levels. author throughout the book, especially in Chapter 6. William F. Lucas, The multiperson cooperative games CONTENTS William F. Lucas, Applications of cooperative games 1. Generalized functions and t-he Fourier transform to equitable allocation 2. Boundary value problems for an elliptic pseudo­ Louis j. Billera, Economic market games differential operator in a halfspace L. S. Shapley, Valuation of games 3. Smoothness of solutions of pseudodifferential L. S. Shapley, Measurement of power in political equations systems 4. Systems of elliptic pseudodifferential equations Robert J. Weber, Noncooperatil'e games in a halfspace 5. Pseudodifferential operators with variable symbols 1980 Mathematics Subject Classification: 900 6. Boundary value problems for elliptic pseudo­ Volume 24, viii + 128 pages differential operators in a bounded domain with List price $12, institutional member $12 smooth boundary all individuals $6 ISBN 0-8218-0025-6; LC 81-12914 7. Applications Publication date: October 1981 Volume 52, xii + 376 pages (hard cover) To order, please specify PSAPM/24N (soft cover) List price $68.00, institutional member $51.00, individual member $34.00 ISBN 0-8218-4503·9; LC 80-39789 Publication date: May 1981 Prepayment is required for all AMS publications. To order, please specify MMON0/52N Order from AMS, PO Box 1571, Annex Station, Prepayment is required. Send to AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901 Providence, Rl 02901, or call 800-556-7774 to charge with VISA or MasterCard.

714 EMORY UNIVERSITY University of Illinois at Urbana-Champaign Department of Mathematics and Computer Science DEPARTMENT OF MATHEMATICS Applications and nominations are invited for the Two tenure track positions are available for the position of chairperson. The University is committed Fall of 1983, both at Assistant Professor level and at a to the development of a strong department and candi· dates should have an outstanding research record and salary that is negotiable but at least $2 3,000; but per­ a dedication to excellence in teaching. The appoint­ sons with exceptional credentials could be considered ment will be at the rank of Professor with tenure. beyond that level. One appointment will be in some The Department of Mathematics and Computer branch of analysis. The other will be in some branch Science has 20 faculty members, approximately 100 majors in its undergraduate programs in mathematics of applied mathematics that complements or supple­ and mathematics-computer science, master's programs ments existing activity in the department; applicants in these areas, and a Ph.D. program in mathematics. in both discrete and continuous applied mathematics The department expects to make several junior and will be considered. senior level appointments over the next few years. Applications will be considered beginning in Candidates for both positions should have strong November, 1 982. Emory University is an affirmative research ability in one of these areas, as well as evidence action, equal opportunity employer. Applications of excellence in teaching. Send resume and arrange for from members of minority groups and women are three letters of recommendation to be sent to: particularly encouraged. Nominations and applications should be sent to: H. Halberstam, Head Trevor Evans Department of Mathematics Search Committee University of Illinois at Urbana-Champaign Department of Mathematics and Computer 1409 West Green St. Science Emory University Urbana, Illinois 61801 Atlanta Georgia 30322 Applications received before january 31, 1983, Further information may be obtained by phoning are assured of consideration. The University of 404-329-7579. Illinois is an 'lffirmative action/equal opportunity employer.

DIRECTOR, INSTITUTE FOR PHYSICAL SCIENCE AND TECHNOLOGY UNIVERSITY OF MARYLAND, COLLEGE PARK The University of Maryland, College Park, invites nominations and applications for the Director of the Institute for Physical Science and Technology. The Institute is an interdisciplinary research unit with strong ties to several academic depart­ ments. Current areas of research include applied mathematics, atmospheric science, fluid mechanics, optical physics, physics of condensed matter, statistical mechanics. The present faculty numbers approximately 39, including several joint appointments with other academic units. The Director is responsible for selecting and developing significant new research initiatives in the sciences and engineering, and for enhancing appropriate ongoing research projects in those areas. Nominations and applications received by November 15, 1982 will be given full considera­ tion. Responses to this advertisement should be sent to: J. K. Goldhaber, Chairman Institute Director Search Committee c/o Provost, MPSE Division University of Maryland College Park, Maryland 20742 AN EQUAL OPPORTUNITY, AFFIRMATIVE ACTION EMPLOYER.

715 EMPLOYMENT REGISTER Instructions for Applicant's Fonn on facing page The fonn. Applicants' forms submitted for the Employment Register at the Joint Mathematics Meetings in Denver will be photographically repro­ PROCEEDINGS OF SYMPOSIA duced in the December issue of Employment Information in the Mathematical Sciences to appear in December IN APPLIED MATHEMATICS 1982. They will also be posted at the Employment Register. OPERATIONS RESEARCH: MATHEMATICS The forms should be carefully typed using a fresh AND MODELS black ribbon. The best results are obtained with a edited by Saul I. Gass carbon-coated polyethylene ffim ribbon, but satisfac­ As part of its educational activities, the American tory results may be obtained using a ribbon made of Mathematical Society sponsors special topic short nylon or other woven fabric if suitable care is exer­ courses for the attendees of its national meetings. This cised. It is important that the keys be clean and make volume contains the revised lecture notes for the a sharp, clear impression. Do not erase-it causes short course Operations Research: Mathematics and smudges which reproduce when photographed. Use Models given on August 19-20, 1979 at the 83rd a correcting typewriter or correction tape ·or fluid if summer meeting held in Duluth, Minnesota. These necessary. Submit the original typed version only. lectures emphasized specific areas of operations re­ Copies will not reproduce properly and are not accept­ search and the mathematics used in modeling and able. Hand lettered forms cannot be used. solving the related problems. The topics and lecturers Applicants' forms must be received by the Society were: by November 15, 1982 in order to appear in the spe­ 1. Mathematical modeling of military conflict situa­ cial issue of ElMS, and must be accompanied by the tions, Seth Bonder, Vector Research, Inc. Preregistration and Housing Form printed in this issue 2. Queueing networks, Ralph L. Disney, Virginia of the Notices. See pages 691 and 692 in this issue for Polytechnic Institute and State University. infonnation and instructions. 3. Practical aspects of fishery management modeling, The summary strip. Information provided here will Frederick C. Johnson, National Bureau of Stan­ be used to prepare a printed list of applicants for dis­ dards. tribution to employers. Please supply all information 4. Mathematical modeling of health care delivery sys­ requested, and confine your characters to the boxes tems, William P. Pierskalla, University of Pennsyl­ provided. Use the codes below. Circled letters identify vania. corresponding items on the form and the strip. 5. Operations research: Applications in agriculture, Robert B. Rovinsky, U. 5. Department of Agricul­ @ Specialties ture. AL = Algebra AN = Analysis 6. Mathematical modeling applied to the relocation BI = Biomathematics BS = Biostatistics of fire companies, Warren E. Walker, The Rand CB = Combinatorics CM = Communication Corporation. CN = Control CS = Computer Science Each lecturer attempted to make his presentation CT = Circuits DE = Differential Equations Education self-contained in terms of defining the application EC = Economics ED = Mathematical FA = Functional Analysis FI = Financial Mathematics employed. The reader of the areas and mathematics FL = Fluid Mechanics GE = Geometry resulting notes will find that the authors, in their HM = History of Math LO = Logic desire to broaden the usefulness of the published MB = Mathematical Biology ME = Mechanics material, have, in some instances, stretched the mean­ MO = Modelling MP = Mathematical Physics ing of self-contained. Thus, the reader might find MS = Management Science NA = Numerical Analysis that a bit of perseverance, coupled with dipping into NT = Number Theory OR = Operations Research some subsidiary references, is required to obtain the PR = Probability SA = Systems Analysis full benefits of the written discussions. However, ST = Statistics TO = Topology even the casual reader will be able to ascertain how @ Career Objectives the field of operations research has contributed to the resolution of important decision problems-and AR = Academic Research AT = Academic Teaching how the fie Id of applied mathematics has flourished NR =Nonacademic R&D NC = Nonacad. Consulting NS = Nonacademic Supervision in the guise of operations research. 1980 Mathematics Subject Classification: 90-01 @CD Duties Volume 25, viii + 198 pages List price $10, institutional member $10, T =Teaching U = Undergraduate all individuals $5 G =Graduate R =Research ISBN 0-8218-0029-9; LC 81-10849 C = Consulting A = Administration Publication date: September 1981 S = Supervision IND = Industry To order, please specify PSAPMI25N (soft cover) GOV = Government DP = Data Processing Location E =East S = South C =Central M =Mountain Prepayment is required for all AMS publications. W =West 0 = Outside U.S. I = Indifferent Order from AMS, PO Box 1571, Annex Station, © U.S. Citizenship Status Providence, Rl 02901, or call 800-556-7774 C = U.S. Citizen P = Permanent Resident to charge with VISA or MasterCard. T = Temporarily in U.S. N = Non-U.S. Citizen

716 MATHEMATICAL SCIENCES EMPLOYMENT REGISTER APPLICANT FORM JANUARY 1983 DENVER, COLORADO

APPLICANT: Nmne______

Mailing address (include zip code)------

@ Specialtie"'------­ @ Career objectives and accomplishments ACADEMIC: 0 Research, 0 Teaching NON-ACADEMIC: D Research and Development, 0 Consulting, 0 Supervision Near-Ummcareergo&~~------

Significant achievements or projects, including role: ______

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

Selected titles of papers, reports, books, patents______

@Degree Year Institution ___ ------@No. of abstracts, intern& report...______------@No. of papers accepteu....______------®No. of books and patent11------EMPLOYMENT HISTORY: Present Previous Previous @Employer ------­ Position @Duties Years ______to ______to•------______to, ______DESmED POSITION:.______QDDutie·~~------@Available mo. __ fyr. __ Locatio.,______Salary______@References (Nmne and Institution)

©Citizenship ------­ @AVAILABLE FOR INTERVIEWS: (Interviews for Session 4 scheduled on the basis of employer's request only.) Seuion 1 D Session 2 0 Session 3 0 Session 4 D Fri. AM 9:30-11:45 Fri. PM 1:15-5:00 Sat. AM 9:30-11:45 Sat. PM 1:15-5:00 I do not plan to attend the Winter Meeting 0

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...... PREREGISTRATION AND HOUSING FORM, DENVER, COLORADO AMS Short Course joint Mathematics Meetings MAA Minicourses January 3-4, 1983 January 5-9, 1983 january 6, 7, 8, 1983 MUST BE RECEIVED IN PROVIDENCE NO LATER THAN NOVEMBER 15, 1982 Please complete this form and return it with your payment to MATHEMATICS MEETINGS HOUSING BUREAU P. 0. Box 6887, Providence, Rhode Island 02940, Telephone: (401) 272·9500, Ext. 239 PREREGISTRATION: Deadline for receipt of preregistration fee(s) is November 15, 1982. HOUSING BUREAU SERVICES: Participants desiring to obtain confirmed reservations for hotel accommodations MUST PREREGISTER BY THE NOVEM­ BER 15 DEADLINE. CHANGES/CANCELLATIONS: Before December 20, 1982 make all changes to or cancellations of hotel reservations with the Mathematics Meetings Housing Bureau in Providence; after that date, changes or cancellations should be made with the Housing Office of the Denver & Colorado Convention & Visitors Bureau by telephoning 303-892·1112, ext. 73. REFUNDS: Please note that only 50% of preregistration fee(s) is refundable if notification is received in Providence on or before January 2. After January 2, there will be no refunds. REGISTRATION FEES JOINT MATHEMATICS MEETINGS Preregistration (by mail prior to 11 /15) At Meeting Member of AMS, MAA, ASL, and NCTM $38 $49 *Student, Unemployed, or Emeritus $ 9 $12 Nonmember $58 $75 AMS SHORT COURSE Member/Nonmember $25 $30 *Student or Unemployed $ 5 $10 MAA MINICOURSES $15 $15 MAA Minicourse #1 -Computer programming january 6 $15 MAA Minicourse #2- Placement testing January 6, 8 $15 MAA Minicourse #3-Statistics january 7 $15 MAA Minicourse #4-Computer graphics january 7 $15 MAA Minicourse #5-Computer software January 8 $15 EMPLOYMENT REGISTER- Employer fee $50 $75 *All full-time students currently working toward a degree or diploma qualify for the student registration fees, regardless of income. The unemployed status refers to any person currently unemployed, actively seeking employment, and who is not a student. It is not intended to include persons who have voluntarily resigned from their latest position. Persons who qualify for emeritus membership in either the AMS or MAA may register at the emeritus rate.

PREREGISTRATION SECTION: Please check the function(s) for which you are preregistering: Joint Mathematics Meetings [ I Employment Register-Applicant (no charge) AMS Short Course [ 1 NOTE: Applicants who wish to be included in the special MAA Minicourses I I issue of ElMS must submit applicant forms with preregistration MAA Minicourse #1 [ 1 form and fee by November 15. MAA Minicourse #2 I I Employment Register- Employer (fee $50) MAA Minicourse #3 [ I Please be sure to complete and return herewith the appropriate MAA Minicourse #4 I I Employment Register form (Sec pages 613 and 614.). MAA Minicourse #5 [ 1 NOTE: I am preregistering for the joint Meetings only in order to attend the MAA Minicourses.

1)~~~--~------~------~~------NAME (Please print) surname first middle

2) AMS member cod•------or MAA member code'------

3)------~~------ADDRESS number and street city state zip code

4 )------A~D~D~R~ES~S~FO~R~c=o~N~FI~RM~A~T~IO~N~O~F~R~O~OM~RE=S~ER=v~A=TI~O~N~IF~O~T~HE=R~T~H~A~N7A=Bo~V~E------

5) Employing institution ______Unemployed [

6) I am a student at------(7) Name of spouse=-.::-----,-~--:;--;------­ (List if accompanying to meeting)

8) Accompanying children (numbcr)-----(namcs, ages, sexes)------

9) Member of AMS [ ], MAA [ ], ASL [ ], NCTM [ I, NONMEMBER [ I (Member discount applies only to members of AMS, MAA, ASL, and NCTM.) Member of other organizations: AWM [ ], NAM [ I 10) Joint Meetings fee enclosed ~----- 11) AMS Short Course fee enclosed 12) Employer fee enclosed 13) MAA Minicourse fee(s) enclosed 14) TOTAL AMOUNT ENCLOSED FOR 10 THROUGH 13 $·------(Please make all checks payable to AMS.) NOTE: A $4 charge will be imposed for aJJ invoices prepared when preregistration/housing forms are submitted without accompanying check(s) for preregistration fee(s). or are accompanied by an insufficient amount. [ I Check here if you will not require a room. PLEASE BE SURE TO COMPLETE THE HOUSING SECTION ON NEXT PAGE IF YOU WILL REQUIRE A ROOM.

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