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Biographical information about the candidates President-Elect has been verified by the candidates, although in a few instances prior travel arrangements of Frederick W. Gehring the candidate at the time of assembly of the in- T. H. Hildebrandt Distinguished University Pro- formation made communication difficult or im- fessor, University of Michigan; chair, Depart- possible. A candidate had the opportunity to ment of , University of Michigan, make a statement of not more than 200 words 1973–1975, 1977–1980, and 1981–1984. on any subject matter without restriction and to Born: August 7, 1925, Ann Arbor, Michigan. list up to five of her or his research papers. Ph.D.: Cambridge University, 1952; Honoris Abbreviations: American Association for the Causa: University of Helsinki, 1977, and Uni- Advancement of Science (AAAS); American Math- versity of Jyväskylä, 1990. ematical Society (AMS); American Statistical As- Sc.D.: Cambridge University, 1976. sociation (ASA); Association for Computing Ma- AMS Offices: Member-at-Large of the Council, chinery (ACM); Association for Symbolic Logic 1980–1982; Executive Committee, 1973–1975, (ASL); Association for Women in Mathematics 1980–1982; Board of Trustees, 1983–1992 (chair, (AWM); Canadian Mathematical Society, Société 1986, 1991). Mathématique du Canada (CMS); Conference AMS Committees: Proceedings Editorial Com- Board of the Mathematical Sciences (CBMS); In- mittee (Associate Editor), 1962–1964; Math- stitute of Mathematical Statistics (IMS); In- ematical Reviews Editorial Committee, ternational Mathematical Union (IMU); London 1969–1975 (Chair, 1973–1975); Nominating Com- Mathematical Society (LMS); Mathematical As- mittee for the 1975 Election (chair); Editorial sociation of America (MAA); National Academy Committee for the Research Expository Journal, of Sciences (NAS); National Academy of Sci- 1977–1978; Bulletin Editorial Committee (Asso- ences/National Research Council (NAS/NRC); ciate Editor for Research Expository Articles), National Aeronautics and Space Administration 1979–1983; Committee on Membership (Board (NASA); National Council of Teachers of Math- of Trustees), 1979–1992 (chair, 1989–1992); ematics (NCTM); National Science Foundation Committee on Committees, 1980–1982; Com- (NSF); Operations Research Society of America mittee on Science Policy, 1981–1987; Commit- (ORSA); Society for Industrial and Applied Math- tee on Steele Prizes, 1984–1987; Search Com- ematics (SIAM); The Institute of Management mittee for the Position of Executive Director, Sciences (TIMS). 1987; Committee on Institutional Membership Each candidate had the opportunity to sup- (Board of Trustees), 1987–1992 (chair, ply a photograph to accompany his or her bio- 1989–1992); Committee on Academic Review, graphical information. 1989– ; Bergman Trust Committee, 1990–; Com-

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mittee on Governance (Board of Trustees), 1993 prominent researchers from abroad now elect to (chair). spend time at American institutions. However, Selected Invited Addresses: AMS, Milwaukee, productive graduate programs, another influx of November 1961; International Congress of Math- foreign mathematicians, and recent spending ematicians, Moscow, August 1966; MAA, Madi- cuts at the federal, state, and local levels have son, August 1968; International Congress of resulted in a shrinking academic job market, re- Mathematicians, Vancouver, August 1974; Ple- duced research budgets, and a decline in achieve- nary Address, International Congress of Math- ment levels of entering undergraduates. ematicians, Berkeley, August 1986. The Society has grown from 3,000 members Additional Information: Guggenheim Fellow and a $50,000 budget in 1945 to 30,000 mem- and Fulbright Fellow Research Scholar, bers and a $19,000,000 budget; its activities 1958–1959; National Science Foundation Fellow, have broadened from a focus on scholarship 1959–1960; Foreign Member, Finnish Academy and research to include professional issues such of Sciences, 1974– ; UK Science Research Coun- as employment, mathematics education, research cil Senior Visiting Fellowship, 1981; Alexander funding, public awareness, and representation von Humboldt Fellowship, 1981–1982, 1988; of women and minorities in the profession. Un- Commander of the Order of Finland’s White fortunately, the Society also faces a potentially Rose, 1986– ; Member, U.S. National Academy of serious problem, since current programs are Sciences, 1989– ; Member, American Academy of supported by publication of journals and books, Arts and Sciences, 1989– . MAA: Chauvenet Prize the income from which could change substan- Committee, 1988–1991 (chair, 1991). NAS/NRC: tially with the advent of electronic publishing. Nominating Committee, 1972–1973; ICM Travel All these problems must be addressed. If Grants Committee, 1978 (chair); Board on Math- elected, my experience as department chair at a ematical Sciences, 1988–1991; Selection Com- major public university, trustee, member of mittee for Award in Mathematics, 1992. NSF: many governing and ad hoc committees, and Board of Governors, Institute for Mathematics consultant for two commercial publishers would and its Applications, 1980–1984; Search Com- prove useful. mittee for Director, Institute for Mathematics and its Applications, 1985–1986 (chair); Geometry Arthur M. Jaffe Center External Advisory Committee, 1991–1995 Landon T. Clay Professor of Mathematics and (chair). SIAM: Polyá Prize Committee, 1993; Theoretical Science, Harvard University. Served on fifteen external review committees Born: December 22, 1937, New York, New York. for mathematics departments in the United Ph.D.: , 1966. States, Canada, and Japan, 1979–1995. Editor: AMS Offices: Executive Committee of the Coun- Duke Mathematical Journal, 1963–1980; Edito- cil, 1991–1994. rial Boards: Indiana University Mathematical AMS Committees: Committee to Monitor Prob- Journal, 1966–1975; Complex Variables Theory lems in Communication, 1986–1991 (chair); and Applications, 1981– ; Michigan Mathemati- Committee to Select the Gibbs Lecturers for cal Journal, 1989–. Member: AMS, 1952– ; AWM, 1987 and 1988 (chair); Committee on Steele 1973– ; MAA, 1962– , as well as five European Prizes, 1990–1992; Committee on Long-Range mathematical societies. Consultant: D. Van Nos- Planning, 1993 (chair); Science Policy Committee: trand, 1963–1970; Springer-Verlag, 1974– . Federal Policy Agenda Subcommittee, Selected Publications: 1. Rings and quasicon- 1993–1994; Agenda and Budget Committee, formal mappings in space, Trans. Amer. Math. 1994. Soc. 103 (1962), 353–393. MR 25 #3166; 2. with Selected Addresses: AMS Summer Research In- J. Väisälä, The coefficients of quasiconformality stitute on Partial Differential Equations, Berke- of domains in space, Acta. Math. 114 (1965), ley, August 1971; International Congress of Math- 1–70. MR 31 #4905; 3. The Lp- integrability of ematicians, Helsinki, 1978; Invited Address, New the partial derivatives of a quasiconformal map- York, New York, 1978; Symposium on the Math- ping, Acta. Math. 130 (1973), 265–277. MR 53 ematical Heritage of Henri Poincaré, 1980; Spe- #5861; 4. Spirals and the universal Teichmüller cial Session on Nonlinear Generalizations of space, Acta. Math. 141 (1978), 99–113. MR 58 Maxwell’s Equations, Amherst, October 1981; #17076; 5. with G. J. Martin, Commutators, col- Special Session on Gauge Theory and Applica- lars and the geometry of Möbius groups, J. tions, Brooklyn, April 1994. d’Analyse Math. 63 (1994), 175–219. Additional Information: Academic positions: Statement: American mathematics, which has ex- Chair, Department of Mathematics, Harvard Uni- perienced meteoric growth since 1945, faces se- versity, 1987–1990. Appointments: Lecturer: rious problems. Immigrating scientists, plus con- Varenna Summer School, 1968; Les Houches siderable federal support following Sputnik, Summer School, 1970, 1984, 1995; Erice Summer stimulated a flowering so dramatic that many School, 1973, 1983, 1985; Special Lecturer, Acad-

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emia Nazionale dei Lincei, 1977; Porter Lecturer, integral point of view, Second edition, Springer- Rice University, 1983; Alumni Lecturer, Penn- Verlag, New York, Berlin, 1987. MR 89k:81001; sylvania State University, 1983; Frank Hahn Lec- 5. with A. Lesniewski and K. Osterwalder, Quan- turer, Yale University, 1985; Balomenos Lecturer, tum K-theory, I. The Chern character, Comm. University of New Hampshire, 1987; Lecturer, Math. Phys. 118 (1988), 1–14. MR 90a:58170; Collège de France, 1990. Awards: New York Acad- 6. Noncommutative geometry and mathematical emy of Sciences Prize for the Mathematical and physics, New Symmetry Principles in Quantum Physical Sciences, 1979; Dannie Heinemann Prize Field Theory, Plenum Press, London, 1992. MR for Mathematical Physics, 1980. Committees and 94f:46095. panels: Member, David Committee: committee’s Statement: This was a banner year for math- work led to the report, “Renewing American ematics, with major mathematical progress made Mathematics” (1981–1984); author of the ap- in many areas! We are certainly doing something pendix, Ordering the universe: The role of math- right and justifiably might conclude that math- ematics; member of several visiting committees, ematics is fundamentally healthy. However, we including Princeton University, 1977–1980, and face serious problems which affect us today and the E.T.H. Zurich, 1989; Member, COSEPUP Brief- threaten the vitality of the future of mathemat- ing Panel on the Status of Mathematical Re- ics. Paramount issues are declining research search, 1983. Addresses: International Associa- funds and a shortage of jobs. The AMS must ad- tion of Mathematical Physics Congresses, 1977, dress this situation by taking a leadership role 1979, 1981, 1988, 1991; Canadian Mathematical in increasing recognition of mathematics and Society, 1984; Australian Mathematical Society, communicating its value, excitement, and vigor 1987; von Neumann Symposium, 1988; Twenty- to the general public, to members of Congress, fifth Anniversary of the IBM Mathematical Re- and to funding agencies. The AMS must also search Center at Yorktown Heights, 1988; 350th help mathematicians secure jobs as the acade- Anniversary of the Mathematische Gesellshaft in mic market shrinks. Hamburg, 1990; MSRI Sponsors Day, 1995. Co- In addition, the AMS should encourage broad and organizer: Cargèse Summer School in Math- inclusive participation in mathematics by all ematical Physics, 1976, 1979, 1983, 1987, 1991; those interested and talented, regardless of gen- International Congress on Information Theory, der, race, or economic status. The AMS should Estergom, 1979; AMS Summer Research Con- strengthen its role in mathematics education ference on Geometry, Probability and Math- and help mathematicians with the new tech- ematical Physics, University of New Hampshire, nologies, particularly with making an orderly 1982; Harvard Prize Fellowship, designed to in- transition to electronic publication while en- vite Russian mathematicians as visitors to this suring access to mathematical results now and country, 1988; International Association of Math- in the future. AMS meetings should become even ematical Physics Congress, Paris, 1994; Confer- more valuable and engaging, and joint cooper- ence on Current Developments in Mathematics ation with the other mathematical organizations (cosponsored by Harvard University’s and Mass- should be encouraged. The Society must develop achusetts Institute of Technology’s departments new ways to foster a creative atmosphere for of mathematics), 1995. Editor: Chief editor, Com- mathematical discovery. munications in Mathematical Physics, 1979–; as- sociate editor for several other journals. Offices: Vice-President Trustee, MSRI, Berkeley, 1991–; President, In- ternational Association of Mathematical Physics, Michael Aschbacher 1991–. Fellowships: Alfred P. Sloan Foundation Professor, California Institute of Technology. Fellow, 1968–1970; Guggenheim Fellow, 1977, Born: April 8, 1944, Little Rock, Arkansas. 1992; fellow, American Academy of Arts and Ph.D.: University of Wisconsin, 1969. Sciences, American Association for the Ad- AMS Committees: Ad Hoc Committee for the vancement of Science. Member: AMS, AWM, MAA. 1979 Summer Institute on Classification of Sim- Selected Publications: 1. with J. Glimm, The ple Groups and New Directions; Ad Hoc Com- 4 (λφ )2 quantum field theory without cutoffs. III, mittee for the 1985 Cole Prize (chair); Far West- The physical vacuum, Acta Math. 125 (1970), ern Section Program Committee, 1990, and 203–267. MR 42 #4130; 2. with J. Glimm and T. Western Section Program Committee, 1991; Nom- Spencer, The Wightman axioms and particle struc- inating Committee, 1991–1993 (chair, 1992). ture in the (φ)2 quantum field model, Ann. of Selected Addresses: Invited Address, Toronto, Math. 100 P(1974), 585–632. MR 50 #15694; August 1976; International Congress of Math- 3. with C. Taubes, Vortices and monopoles. Struc- ematicians, Helsinki, 1978; Special Session on ture of static gauge theories, Progress in Physics, Classification of Finite Simple Groups, San Fran- 2, Birkhäuser Boston, 1980. MR 82m:81051; cisco, January 1981; Special Session on Finite 4. with J. Glimm, Quantum physics. A functional Geometries and Related Topics, East Lansing,

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November 1982; Symposium on Mathematics 1982–1988; Journal of K-theory, 1987– ; Journal into the Twenty-first Century, AMS Centennial, of Algebraic Geometry, 1990– , and Journal of Providence, August 1988. Mathematical Research Letters, 1994– ; Sloan Additional Information: Sloan Fellow, Foundation Mathematics Fellowship Commit- 1973–1975; Cole Prize in Algebra, 1980; Board tee, 1990; Member, National Academy of Sci- of Trustees, MSRI, 1981–1984; Member, National ences, 1994– . Academy of Sciences, 1990– ; Member, American Selected Publications: 1. K2 and algebraic cy- Academy of Arts and Sciences, 1991– ; Executive cles, Ann. of Math. 99 (1974), 349–379. MR 49 Officer for Mathematics, Caltech, 1991–1994. #7260; 2. Higher regulators, algebraic K-theory, Selected Publications: 1. On finite groups of and zeta functions of elliptic curves (unpub- component type, Illinois J. Math. 19 (1975), lished); 3. A note on height pairings, Tamagawa 87–115. MR 51 #13018; 2. A characterization of numbers, and the Birch and Swinnerton-Dyer Chevalley groups over fields of odd order, Ann. , Invent. Math. 58 (1980), 65–76. MR of Math. 106 (1977), 353–398. MR 58 #16865a; 81m:14030; 4. Algebraic cycles and higher K-the- and A characterization of Chevalley groups over ory, Adv. Math. 61 (1986), 267–304. MR fields of odd order. II, Ann. of Math. 106 (1977), 88f:18010; 5. with K. Kato, L-functions and Tam- 399–468. MR 58 #16865b; 3. On the maximal sub- agawa numbers of motives, The Grothendieck groups of the finite classical groups, Invent. Math. Festschrift, vol. I, Progr. Math., vol. 86, Birkhäuser 76 (1984), 460–514. MR 86a:20054; 4. with S. Boston, Boston, MA, 1990, pp. 333–400. MR Smith, On Quillen’s conjecture for the p-groups 92g:11063. complex, Ann. of Math. 137 (1993), 473–529. MR Statement: With the retreat of the NSF, the AMS 94g:20073; 5. Sporadic groups, Cambridge Univ. will play an increasingly important service role Press, Cambridge and New York, 1994. for American mathematicians. In addition to its Statement: Changes in federal funding of sci- traditional functions running conferences and ence, in the public’s expectation of the role of publishing research, the AMS should involve it- university faculty in undergraduate teaching, self in fighting to reverse the decline in profes- and in the number of academic jobs in math- sional and research standards at American col- ematics are likely to lead to significant changes leges and universities and in lobbying federal and in the structure of graduate programs in math- state governments on behalf of mathematics. ematics and the career paths of mathematicians. The AMS has already established committees to Member-at-Large of the Council consider some of the implications of these changes. This effort should continue and be- Curtis D. Bennett come more focused. Assistant professor, Bowling Green State University. Spencer J. Bloch Born: July 26, 1963, Madison, Wisconsin. Robert Maynard Hutchins Distinguished Service Ph.D.: University of Chicago, 1990. Professor, University of Chicago. AMS Committees: Committee on the Profession Born: May 22, 1944, Subcommittee on Employment Issues, 1993– . New York, New York. Selected Addresses: Conference on Groups and Ph.D.: Columbia Uni- Geometries, Oberwolfach, Germany, July 1991; versity, 1971. Special Session on Groups and Geometries, Man- AMS Committees: hattan, Kansas, March 1994. Bulletin (New Series) Additional Information: NSF Graduate Fellow, Editorial Committee 1985–1989; NSF Postdoctoral Fellow, 1992–1995; (Associate Editor, Re- Founding Board Member, The Young Math- search Announce- ematicians Network. ments), 1983–1990. Selected Publications: 1. Imaginary roots of Selected Addresses: Kac-Moody Lie algebra whose reflections pre- International Con- serve root multiplicities, J. Algebra 158 (1993), gresses of Math- 244–267. MR 94g:17043; 2. Affine -buildings. ematicians, Helsinki, August 1978, and Kyoto, I, Proc. London Math. Soc. 68 (1994), 541–576. August 1990 (one-hour talk). MR 94m:20068; 3. with B. Sagan and K.Λ Dempsey, Additional Information: Editor (books): Alge- Partition lattice q-analogs associated with q-Stir- braic Geometry, Bowdoin, 1985, Proceedings of ling numbers, J. Algebraic Combinatorics 3 Symposia in Pure Mathematics, vol. 46, parts 1 (1994), 261–283. and 2, Amer. Math. Soc., Providence, RI, 1987. Ed- Statement: A major problem facing the math- itorial Boards: American Journal of Mathemat- ematical community today is the employment cri- ics, 1982–1988; Compositio Mathematica, sis. This crisis has proven disheartening to many 1982–1988; Communications in Algebra, junior mathematicians and has led to difficul-

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ties in launching a career for junior mathemati- and dissemination of information. It must con- cians. I would like to see the AMS Council con- tinue to explore ways in which it can shape the tinue to address this problem. future of scholarly communication so that all The AMS is also lacking in representation of ju- mathematicians have affordable access. nior mathematicians. I feel the Council would benefit from having a member who has been di- Gail A. Carpenter rectly affected by the job crisis and other prob- Professor, Boston University. lems faced by junior mathematicians. Born: December 23, 1948, New York, New David M. Bressoud York. Professor of mathematics and computer science, Ph.D.: University of Macalester College. Wisconsin, Madison, Born: March 27, 1950, 1974. Bethlehem, Pennsyl- AMS Committees: vania. AMS-SIAM Committee Ph.D.: Temple Uni- on Mathematics in versity, 1977. the Life Sciences, Selected Addresses: 1983–1986. Enumerative Combi- Selected Addresses: natorics and Special Invited Address, San Functions, Oberwol- Antonio, January 1993; Invited Lecture, NATO fach, January 1995; Advanced Statistics Institute, Les Arcs, France, Invited MAA Ad- 1993; Invited Lecture, IEEE World Congress on dresses: Indiana Sec- Computational Intelligence, Orlando, 1994; Wei tion Meeting, March Lun Visiting Professor Lecture, Chinese Univer- 1995, and Allegheny Mountain Section Meeting, sity of Hong Kong, 1995; Plenary Lecture, World April 1995; MAA Student Lecture, Burlington, Au- Congress on Neural Networks, Washington, DC, gust 1995. 1995. Additional Information: Sloan Foundation Re- Additional Information: Fellowships: NSF, search Fellow, 1982–1984; Fulbright Fellow, 1970–1973; Mathematics Research Center, 1985–1986; Member: Association of American 1973–1974. Employment: Massachusetts Insti- Universities Task Force on Intellectual Property tute of Technology, 1974–1976; Northeastern Rights, 1992–1994; Distinguished Teaching University, 1976–1989; Boston University, 1989– . Award, Allegheny Mountain Section of the MAA, Editorial Boards: Neural Networks, 1987– ; Neural 1994; Member: AMS, MAA, NCTM. Computation, 1989– ; IEEE Transactions on Neural Selected Publications: 1. Some identities for ter- Networks, 1992– ; Brain Research, 1992– . In- minating q-series, Math. Proc. Cambridge Philos. ternational Neural Network Society: Board of Soc. 89 (1981), 211–223. MR 82d:05019; 2. with Governors, 1987– ; Vice-President, 1988–1989; I. Goulden, Constant term identities extending Secretary, 1994– . Program Committees: World the q-Dyson , Trans. Amer. Math. Soc. Congress on Neural Networks; International Con- 291 (1985), 203–228. MR 86k:05011; 3. Factor- ference on Pattern Recognition; International ization and primality testing, Undergraduate Conference on Fuzzy Logic, Neural Nets, and Texts in Mathematics, Springer-Verlag, New York, Soft Computing; Russian Neural Network Soci- 1989. MR 91e:11150; 4. Second year calculus ety/IEEE Joint Conference on Neural Networks; from celestial mechanics to special relativity, NSF Workshop on Neuroengineering. Member: Springer-Verlag, New York, 1991; 5. A radical ap- AMS, AWM, SIAM, IEEE, Society for Neuroscience, proach to real analysis, Classroom Resource Ma- International Neural Network Society, European terials Series, vol. 2, Math. Assoc. of America, Neural Network Society. Washington, DC, 1994. MR 95d:26002. Selected Publications: 1. A geometric approach Statement: The electronic revolution is creating to singular perturbation problems with applica- unprecedented opportunities for the entire re- tions to nerve impulse equations, J. Differential search community to have easy access to schol- Equations 23 (1977), 335–367. MR 56 #762a; arly communication. But there are dangers that 2. Some mathematical questions in biology–cir- threaten to restrict this access: narrower inter- cadian rhythms (ed.), Lectures on Mathematics pretations of Fair Use, licensing agreements that in the Life Sciences, vol. 19, Amer. Math. Soc., replace copyright as the legal basis for publica- Providence, RI, 1987. MR 88f:92024; 3. Neural tion and dissemination, subscriptions and data- network models for pattern recognition and as- bases that are charged per use and so open the sociative memory, Neural Networks 2 (1989), user to prohibitive costs. The AMS has been 243–257; 4. with S. Grossberg, N. Markuzon, J. H. moving aggressively into electronic publication Reynolds, and D. B. Rosen, Fuzzy ARTMAP: A

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neural network architecture for incremental su- Organizer, Special Year in Operator Theory, In- pervised learning of analog multidimensional diana University, 1985–1986; Professor and maps, IEEE Trans. Neural Networks 3 (1992), Head, Department of Mathematics, University of 698–713; 5. Spatial pattern learning, catastrophic Tennessee, 1990– ; NSF Undergraduate Science forgetting, and optimal rules of synaptic trans- and Mathematics Education Evaluation Panel, mission, Optimality in Biological and Artificial 1991, 1993; University of Tennessee Science Al- Networks (D. S. Levine and W. R. Elsberry, eds.), liance (Mathematics Division) Director, 1992– ; Lawrence Erlbaum Associates, Hillsdale, NJ, 1995. Mathematics Connection Teleconference Par- Statement: The AMS should maintain as its pri- ticipant, 1993. mary goal the support and dissemination of Selected Publications: 1. Functions of one com- mathematical research. Another currently im- plex variable. Graduate Texts in Mathematics, portant task is to try to improve the employment Springer-Verlag, New York and Heidelberg, 1973. prospects of young mathematicians. By offering MR 56 #5843; 2. with R. F. Orlin, A functional cal- conference workshops and helping universities culus for subnormal operators. II, Mem. Amer. design programs that prepare young math- Math. Soc. 184 (1977). MR 55 #8864; 3. with B. ematicians for nonacademic as well as academic B. Morrel, Roots and logarithms of bounded op- employment, the AMS can help bridge the gap erators on a Hilbert space, J. Funct. Anal. 70 between traditional training and useful, chal- (1987), 171–193. MR 87m:47044; 4. The theory lenging job opportunities. The AMS should also of subnormal operators. Math. Surveys Mono- continue to help parents of young children main- graphs, vol. 36, Amer. Math. Soc., Providence, RI, tain their professional lives. 1991. MR 92h:47026; 5. with N. Elias, Analytic bounded point evaluations for spaces of rational John B. Conway functions, J. Funct. Anal. 117 (1993), 1–24. Professor and chair, Department of Statement: I have concerns about the different Mathematics, University of Tennessee, Knoxville. directions in which our profession is being Born: September 22, pulled. A close scrutiny of what we do as math- 1939, New Orleans, ematicians is always profitable, whether the Louisiana. focus is on research direction, increasing our Ph.D.: Louisiana State awareness of teaching responsibilities, study- University, 1965. ing the current state of the job market, or mak- AMS Committees: ing our society politically and socially involved. Proceedings Editorial The difficulty arises when we concentrate too Committee, 1985– closely on the problem of the moment and lose 1988 (Associate Edi- sight of the long-term development of math- tor, 1985–1986). ematics. Selected Addresses: Complicating the whole process is the issue of Principal Speaker funding. There seems to be a pattern of fund- (four lectures), NATO ing for the problems of yesterday that contin- Conference on Operators and Function Theory, ues long after the crisis has diminished. An ex- University of Lancaster, England, 1984; AMS ample is the increased federal funding of Summer Research Institute on Operator The- graduate education in mathematics to address ory/Operator Algebras and Applications, Uni- an anticipated shortage and a continuation of versity of New Hampshire, Durham, July 1988; that funding long after the job market for new Steklov Institute of Mathematics, Leningrad, and mathematicians had hit the disaster level. Moscow University, 1989; Principal Speaker (two I would like to see the Society set long-range lectures), Southeastern Analysis Meeting, Char- goals to foster education and research in math- lotte, 1991; Shanks Lectures, Vanderbilt Uni- ematics, to encourage further participation by versity, 1993; Hungarian Academy of Sciences women and minorities, to assist departments in Conference in Honor of Bela Sz. Nagy’s 80th achieving these goals, and to act as a steadying Birthday, 1993. influence on the direction of the funding agen- Additional Information: NSF Research Grants, cies. 1968–1989 and 1990–1993; NSF Sabbatical Grant, 1980–1981; Organizer, Special Session on Func- Isom H. Herron tion Theoretic Operator Theory, Louisville, Jan- Professor of mathematical sciences, uary 1984; Member, NSF Postdoctoral Fellow- Rensselaer Polytechnic Institute. ship Committee, 1984–1986; Indiana University Born: September 8, 1946, St. Louis, Missouri. Research Grant, 1984–1987; Recipient of NSF Ph.D.: The Johns Hopkins University, 1973. Grant and Argonne Universities Association Selected Addresses: Special Session on Function Trust Fund Grant to conduct the Special Year in Theoretic Methods in Partial Differential Equa- Operator Theory, Indiana University, 1985–1986; tions, Baltimore, January 1992; Special Session

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on Advances in Func- Systems Conference, Montevideo, Uruguay, tion Theoretic Meth- March 1995. ods, Cincinnati, Jan- Additional Information: Visiting Member, uary 1994. Courant Institute of Mathematical Sciences, Fall Additional Informa- 1987; Alabama EPSCoR Mathematics Infra- tion: Faculty Member, structure Committee, 1992–1994; Coorganizer Department of Math- (with P. Minc), Special Session on Modern Meth- ematics, Howard Uni- ods in Continuum Theory, Cincinnati, January versity, 1974–1994; 1994; Research Professor, Mathematical Sciences Visiting Scientist, Uni- Research Institute, Fall 1994; Auburn University versità di Napoli, Alumni Professor, 1994–1999; Editor, Collected 1984; Ford Founda- works of Witold Hurewicz, Amer. Math. Soc., Prov- tion Senior Postdoc- idence, RI, to appear; Member: AMS, AWM, Pol- toral Fellowship, 1988–1989; Corporation Visit- ish Mathematical Society. ing Committee, Department of Mathematics, Selected Publications: 1. On the bihomogeneity Massachusetts Institute of Technology, problem of Knaster, Trans. Amer. Math. Soc. 321 1989–1990 and 1993– ; Member: AMS, APS, NAM, (1990), 129–143. MR 90m:54043; 2. A nonpar- SIAM. allel cylinder packing with positive density, Math- Selected Publications: 1. A completeness theo- ematika 37 (1990), 324–331. MR 92d:52044; rem for the linear stability problem of nearly 3. Fixed points of orientation reversing homeo- parallel flows, J. Math. Anal. Appl. 86 (1982), morphisms of the plane, Proc. Amer. Math. Soc. 168–175. MR 84g:34038; 2. Expansion problems 112 (1991), 223–229. MR 91h:54049; 4. A lower in the linear stability of boundary layer flows, Adv. bound for the number of fixed points of orienta- in Appl. Math. 4 (1983), 260–297. MR 84i:76034; tion reversing homeomorphisms, The Geometry 3. with G. P. Galdi, Nonlinear stability of a diffu- of the Hamiltonian Systems (Berkeley, CA, 1989), sion equation, Quart. Appl. Math. 42 (1984), Math. Sci. Res. Inst. Publ., vol. 22, Springer, New 159–164. MR 85h:35191; 4. Linear versus en- York, 1991 pp. 367–371. MR 92j:54044; 5. A ergy stability for time-periodic flows, Phys. Flu- smooth to the Seifert conjecture, ids 28 (1985), 2298–2299; 5. The Orr-Sommer- Ann. of Math. 140 (1994), 723–732. feld equation on infinite intervals, SIAM Rev. 29 Statement: While even the brightest young math- (1987), 597–620. MR 88m:76033. ematicians are having difficulties finding acad- Statement: Mathematics is an international en- emic positions, graduate students do most of the terprise. Within that framework, we must take work involved in teaching calculus at many uni- account of our national needs to reinforce aca- versities. There are typically more undergradu- demic infrastructure and to empower intellec- ate students per professor in mathematics than tually those of diverse backgrounds. These are there are in other areas. The AMS should offer not easy tasks and ones that can only begin to advice to math departments about how to im- be accomplished with a united will. Mathemati- prove conditions for graduate students by de- cians should be enterprising in making our con- creasing their teaching duties and about ways to tributions known to society at large. seek more tenure-track positions. The AMS could compile statistics to help the mathematical com- Krystyna M. Kuperberg munity ameliorate these problems. The AMS Alumni professor, Auburn University. could also recognize those departments that Born: July 17, 1944, make special efforts to create new positions. Tarnow, Poland. Every undergraduate deserves the opportunity Ph.D.: Rice University, to attend inspiring lectures, or to see a beauti- 1974. ful proof, or at least a rigorous argument. How AMS Committees: many calculus students get that opportunity? Electronic Research Announcements Edi- Joshua A. Leslie torial Board, 1995– . Professor and chair, Department of Selected Addresses: Mathematics, Howard University. Princeton University Born: February 18, 1933, Jamaica. Colloquium, Prince- Ph.D.: Université de Paris, France, 1960. ton, March 1994; AMS Committees: Committee on the Human Mathematical Sci- Rights of Mathematicians, 1984–1986; Commit- ences Research Institute-Evans Lecture, Berkeley, tee on Committees, 1991–1992. September 1994; Stanford University Collo- Selected Addresses: Invited Address, Lehigh quium, Stanford, October 1994; Invited Address, University, February 1988; Colloquium on Group Orlando, March 1995; Invited Talk, Dynamical Theory and Physics, Lie’s Fundamental Theo-

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rem in Infinite Dimensions, University of Geor- Computing and Applied Mathematics, National gia, July 1988; Annual Seminar of the Canadian Institute of Standards and Technology, Mathematical Society, Montreal, August 1989; In- 1992–1994; Scientific Advisory Council, Math- vited Address, Pennsylvania State University, ematical Sciences Research Institute, 1992–1995; University Park, October 1990; University of Mar- Executive Advisory Board, Mathematical Sciences seille, 1991. Institute, 1992–1995; Dean’s Advisory Council, Additional Information: Board of Trustees, MSRI, School of Science, Purdue University, 1993– ; 1994– ; Member: AMS, MAA, NAM, AAAS, NYAS. Board of Governors, IMA, 1994– . Selected Publications: 1. Modules simpliciaux sur Selected Publications: 1. Some analytic esti- une algèbre simpliciale, C. R. Acad. Sci. Paris 251 mates of class numbers and discriminants, Invent. (1960), 22–23. MR 22 #5663; 2. Sur les opérations Math. 29 (1975), 275–286. MR 51 #12788; 2. with cohomologiques, C.R. Acad. Sci. Paris 256 (1963), J. C. Lagarias, Solving low-density subset sum 4815–4817. MR 27 #6265; 3. On a differential problems, J. Assoc. Comput. Mach. 32 (1985), structure for the group of diffeomorphisms, Topol- 229–246. MR 87i:11186; 3. with H. J. J. te Riele, ogy 6 (1967), 263–271. MR 35 #1041; 4. Some Disproof of the Mertens conjecture, J. Reine Frobenius in global analysis, J. Differ- Angew. Math. 357 (1985), 138–160. MR ential Geom. 2 (1968), 279–297. MR 40 #4977; 5. 86m:11070; 4. Asymptotic enumeration methods, Some integrable subalgebras of Lie algebras of in- Handbook of Combinatorics (R. L. Graham, finite dimensional Lie groups, Trans. Amer. Math. M. Groetschel, and L. Lovasz, eds.), North-Hol- Soc. 333 (1992), 423–443. MR 92k:22034. land, Amsterdam, (to appear, 1995); 5. Tragic loss Statement: I am concerned that the putting in or good riddance? The impending demise of tra- question of affirmative action in academia will be ditional scholarly journals, Internat. J. Human- a setback for women and minority mathematicians Comput. Stud. 42 (1995), 71–122. Condensed long before its goals will have been met. version appeared in Notices Amer. Math. Soc. January 1995, 49–53; reprinted in Deutsche Math. Ver. Mitteilungen 1995, no. 1, 19–24, and, Head, Mathematics of Communication and Com- in a French translation, in Gazette des Math- puter Systems Department, AT&T Bell Labora- ematiciens 1995, no. 63, 41–52, and to be tories, and adjunct professor, Faculty of Math- reprinted in Scholarly Publishing: The Electronic ematics, University of Waterloo. Frontier (R. P. Peek and G. B. Newby, eds.), MIT Born: July 23, 1949, Press/ASIS monograph, MIT Press, Cambridge, Tarnow, Poland. MA, 1995. Ph.D.: Massachusetts Statement: Technological change and the end of Institute of Technol- rapid growth in funding for research are the ogy, 1975. chief causes of the problems facing mathemat- AMS Committees: ics. Mathematical research, the main mission of AMS-ASL-IMS Com- the AMS, can make important contributions to mittee on Transla- society, and we should make sure this is un- tions from Russian derstood by the public and especially by policy- and Other Foreign makers. However, it is likely that we may have Languages, 1982– to survive with limited means, and we should 1984; Proceedings Ed- prepare for that. In particular, while the AMS can- itorial Committee, not do too much about the job situation, we 1985–1989; Committee on the Publication Pro- should prepare and disseminate realistic pro- gram, 1986–1993; Mathematics of Computation jections about future job prospects. We also Editorial Committee, 1986– (associate editor, should position the AMS to survive the coming 1986–1988); Committee on Electronic Exchange transition to electronic publication, which, if of Information, 1989; Journal of the AMS Edito- not managed well, may mean the loss of a large rial Committee, 1992– ; Committee on Copy- part of the funding for AMS activities that now right, 1993 (chair); Committee on Publications, comes from publications. 1994– ; Abstracts Revision Task Force, 1995. Selected Addresses: Invited Address, Pittsburgh, George C. Papanicolaou August 1981; Invited Lecture, Australian Math- Professor, Stanford University. ematical Society, Brisbane, 1983; International Con- Born: January 23, 1943, Athens, Greece. gress of Mathematicians, Berkeley, August 1986. Ph.D.: , 1969. Additional Information: NSF Postdoctoral Fel- AMS Committees: AMS-SIAM Committee on Ap- lowship Selection Panel, 1981–1983; NSF Advi- plied Mathematics, 1980–1986; Committee on sory Committee for Mathematical Sciences, Summer Institutes, 1981–1983. 1987–1990; Advisory Panel, NSA Mathematical Selected Addresses: International Congress of Sciences Program, 1990–1994; NRC Review Panel, Mathematicians, 1986; International Congress of

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Mathematical Phys- Dimensional Geometric Dynamical Systems, San ics, 1994. Antonio, January 1993; Coorganizer, Fall Midwest Additional Informa- Dynamical Systems Conference, Berkeley, Octo- tion: Sloan Fellow, ber 1993; University of Texas at San Antonio 1974–1976; Guggen- President’s Distinguished Achievement Award heim Fellow, 1983– for Excellence in Teaching, 1995; Member: AMS, 1984; Member: AMS, AWM, LMS, MAA, SIAM. SIAM. Selected Publications: 1. Hopf bifurcations in Selected Publica- competitive three-dimensional Lotka-Volterra sys- tions: 1. with M. Asch, tems, Dynamics Stability Systems 8 (1993), G. Postel, W. Kohler, 189–217. MR 94j:34044; 2. with E. C. Zeeman, On and B. White, Fre- the convexity of carrying simplices in competitive quency content of Lotka-Volterra systems, Differential Equations, randomly scattered signals, SIAM Rev. 33 (1991), Dynamical Systems, and Control Science, Marcel 519–625. MR 93f:73041; 2. with E. Bacry and Dekker, New York, 1994, pp. 353–364. MR S. Mallat, A wavelet based space-time adaptive nu- 94h:34033; 3. Extinction in competitive Lotka- merical method for partial differential equations, Volterra systems, Proc. Amer. Math. Soc. 123 RAIRO Modél Math. Anal. Numér. 26 (1992), (1995), 87–96. MR 95c:92019; 4. with F. Montes 793–834. MR 94f:65122; 3. with A. Fannjiang, de Oca, Balancing survival and extinction in Convection enhanced diffusion for periodic flows, nonautonomous competitive Lotka-Volterra sys- SIAM J. Appl. Math. 54 (1994), 333–408. MR tems, J. Math. Anal. Appl., to appear, 1995; 5. On 95d:76109; 4. with C. Sulem, P.-L. Sulem, and X. P. directed periodic orbits in three-dimensional com- Wang, The focusing singularity of the Davey- petitive Lotka-Volterra systems, Proceedings of Stewartson equations for gravity-capillary surface the International Conference on Differential waves, Phys. D 72 (1994), 61–86. MR 95a:76007; Equations and Applications to Biology and to In- 5. with R. Burridge and P. Lewicki, Pulse stabi- dustry, to appear, 1995. lization in a strongly heterogeneous layered Statement: The demographics of the American medium, Wave Motion 20 (1994), 177–195. mathematical community are improving. There are more women and minorities entering the Mary Lou Zeeman field, and one of the better consequences of the Associate professor, Division of Mathematics and current job crisis is that talented young math- Statistics, University of Texas at San Antonio. ematicians are being distributed around the Born: November 24, country at large and small colleges and univer- 1961, Princeton, New sities alike. Now it is important to represent this Jersey. diversity on the AMS Council and to ensure that Ph.D.: University of all members of the community have equal op- California at Berkeley, portunity to do research, to travel, and to achieve 1989. excellence in teaching. Selected Addresses: International Con- gress on Industrial Trustee and Applied Math- ematics, Special Ses- Fan R. K. Chung sion on Population Professor of mathematics, Dynamics, Washing- University of Pennsylvania. ton, D.C., 1991; Workshop on Environmental Dy- Ph.D.: University of namics, Venice, Italy, 1992; Fall Midwest Dy- Pennsylvania, 1974. namical Systems Conference, University of Offices: Member-at- Michigan, Ann Arbor, 1992; Symposium on Com- Large of the Council, parison Methods and Stability Theory, The Fields 1989–1991. Institute, Canada, 1993; International Confer- AMS Committees: ence on Differential Equations and Applications AMS-IMS-SIAM Com- to Biology and Industry, Claremont, 1994. mittee on Joint Sum- Additional Information: Graduate Student In- mer Research Con- structor Teaching Award, University of Califor- ferences in the Math- nia, Berkeley, 1986; Postdoctoral Member, The ematical Sciences, Institute for Mathematics and its Applications, 1990–1992 (chair, Minneapolis, 1989–1990; C. L. E. Moore Instruc- 1992); Editorial tor, Massachusetts Institute of Technology, Boards Committee, 1993–1995 (chair, 1994); 1990–1991; Coorganizer, Special Session on Low- Committee on Publications, 1994.

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Selected Addresses: AMS-MAA Invited Address, Differential Equations, Berkeley, 1983 (three lec- Orono, August 1991; Invited Address, Washing- tures); principal lecturer, course on semigroup ton, DC, April 1993; International Congress of theory and applications, International Center Mathematicians, Zurich, 1994. for Theoretical Physics, Trieste, 1984; J. P. La Salle Additional Information: Allendoerfer Award, Memorial Lecture, Brown University, 1984; Uni- 1990; Board of Mathematical Sciences, National versity of Arkansas Lectures in Mathematics, Research Council, 1995– . 1986; AMS Progress in Mathematics Lecture, Selected Publications: 1. Diameters and eigen- 1990. values, J. Amer. Math. Soc. 2 (1989), 187–196. MR Additional Information: Lecturer, University of 89k:05070; 2. Constructing random-like graphs, California, Berkeley, 1965–1966; NSF Postdoc- Proc. Sympos. Appl. Math., vol. 44, American toral Fellowship (awarded but declined), 1966; Mathematical Society, Providence, RI, 1991, Visiting Assistant Professor, Stanford Univer- pp. 21–56; 3. with S. Sternberg, Laplacian and vi- sity, 1966–1969; Professor, University of Cali- brational spectra for homogeneous graphs, fornia, Los Angeles, 1973–1976; Professor, De- J. Graph Theory 16 (1992), 605–627. MR partment of Mathematics and Mathematics 93j:58135; 4. with D. Mumford, Chordal com- Research Center, University of Wisconsin, pletions of planar graphs, J. Combin. Theory B 1974–1988 (Houses Professor, 1984–1988); Di- 62 (1994), 96–106. 95e:05062; 5. with S.-T. Yau, rector, Autumn College on Semigroup Theory A Harnack inequality for homogeneous graphs and Applications, International Center for The- and subgraphs, Communications on Analysis oretical Physics, Trieste, 1984–1985; Professor, and Geometry, vol. 2, 1995. University of California, Santa Barbara, 1988– (di- Statement: We are today in the midst of a tech- rector, IAC/Nonlinear Science Program, nological revolution. Mathematics will play a 1988–1991; chair of department, 1993– ); ap- vital role both in laying the foundation for this pointed Miller Research Professor, University of process and in making crucial contributions California, Berkeley, for fall 1996; Managing Ed- throughout the whole spectrum of this devel- itor, Communications in Partial Differential Equa- opment. The AMS, as the major organization for tions, 1989–1992 (Editorial Board, 1992– ). Edi- fostering mathematics research, has a special re- torial boards: Nonlinear Analysis. Theory, sponsibility to maximize the impact of math- Methods, Applications, 1976–1988; Applicable ematicians and to attract the best talent, in- Analysis, 1985– ; Differential and Integral Equa- cluding, in particular, women and minorities. tions,1989– ; Analyse Nonlineaire, Annales de IHP, 1989– ; Advances in Differential Equations, Michael G. Crandall 1995– . Professor, University of California, Selected Publications: 1. Two families of peri- Santa Barbara. odic solutions of the plane four-body problem, Born: November 29, Amer. J. Math. 89 (1967), 275–318. MR 35 #6439; 1940, Baton Rouge, 2. with P. Rabinowitz, Nonlinear Sturm-Liouville Louisiana. eigenvalue problems and topological degree, J. Ph.D.: University of Math. Mech. 19 (1969/1970), 1083–1102. MR 41 California, Berkeley, #3874; 3. with T. Liggett, Generation of semi- 1965. groups of nonlinear transformations on general AMS Offices: Mem- Banach spaces, Amer. J. Math. 93 (1971), ber-at-Large of the 265–298. MR 44 #4563; 4. with P.-L. Lions, Vis- Council, 1984–1986. cosity solutions of Hamilton-Jacobi equations, AMS Committees: Trans. Amer. Math. Soc. 277 (1983), 1–42. MR Committee to Select 85g:35029; 5. with H. Ishii and P.-L. Lions, User’s Hour Speakers for Far guide to viscosity solutions of second order par- Western Sectional tial differential equations, Bull. Amer. Math. Soc. Meetings, 1974–1975; Committee on Commit- (N.S.) 27 (1992), 1–67. MR 92j:35050. tees, 1985–1986; Far Western Section Program Statement: The Bylaws charge the Trustees to Committee, 1990, and Western Section Program “receive and administer the funds of the Soci- Committee, 1991 (chair, 1991); Notices Editorial ety”. If elected, I will put my experience with a Committee, 1989–1992; Progress in Mathemat- broad range of mathematical environments and ics Committee, 1993–1995 (chair, 1995); AMS- administrative responsibilities to vigorous use MAA Committee on Cooperation, 1995. in playing my part in the sound, efficient, and Selected Addresses: International Congress of forward-looking management of the fiscal op- Mathematicians, Vancouver, Canada, 1974; SIAM erations of the Society. While the Bylaws state Annual Meeting, Troy, New York, 1975; Invited that it is the Council which “shall formulate the Address, Madison, April 1982; NSF Summer In- scientific policies of the Society”, a Trustee will stitute on Nonlinear Functional Analysis and also confront the many challenges the profes-

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sion faces in a rapidly changing world. We must of their normal representations in transformation be simultaneously flexible, aggressive, and wise groups of manifolds (papers presented in honor to ensure that we neither miss new opportuni- of the 60th birthday of William Browder), ties nor ignore potential pitfalls. I feel that the Prospects in (Frank Quinn, ed.), Ann. contemporaneous phenomena of the underuti- of Math. Stud., Princeton Univ. Press, Princeton, lization and oversupply of mathematicians lie at NJ, 1995, to appear. the core of our profession’s future, pointing to Statement: In view of the rapidly changing en- the opportunities and the pitfalls. I do not be- vironment for research support in both academe lieve that the situation will improve in the fore- and industry, in scientific education, in math- seeable future if we wait passively, but I do be- ematical employment, and in publication and in- lieve that if we, all of us together, seize the formation exchange, the AMS will be facing large opportunities, then the long-term future is bright. new challenges in carrying out its extraordinary In the interim, we must be realistic and keep in record of helping its members develop and meet mind that the circumstances most of those now their scientific and professional goals. In dis- entering the profession will encounter through- cussing and planning with colleagues from many out their careers will differ in significant ways directions for these and in selecting candidates from the models to which we became accus- who would effectively lead the AMS and repre- tomed. sent it in both public and scientific forums, I would draw on familiarity with these issues Nominating Committee gained from my collegial experiences as an ed- itor of research publications and book series, as Sylvain Cappell chair of an AMS committee, and as many-year Professor, Courant Institute of Mathematical chair of my university’s Research Challenge Fund Sciences, New York University. Committee (awarding the internal research Born: September 10, grants across all the sciences, social sciences, and 1946, Brussels, Bel- humanities), and from supervising for many gium. years the mathematical activities and workshops Ph.D.: Princeton Uni- of the Faculty Resources Network (which created versity, 1969. scholarly exchange opportunities for faculties AMS Committees: from smaller and minority institutions), a re- Committee on Steele cent term as associate director of the Courant Prizes, 1991–1993 Institute, and many-year chair of its Appoint- (chair, 1993). ments and Promotions Committee. Selected Addresses: I would also draw on the good counsel of many International Con- friends across the broad generational spectrum gress of Mathemati- of mathematicians in university, college, and in- cians, Helsinki, 1978; dustrial employment (and in some cases, sadly, Invited Address, Syracuse, October 1978; Prin- unemployment), and in many branches of pure cipal Speaker, Conference Board of the Math- and applied mathematics. ematical Sciences Lecture Series, Virginia Poly- technical University, 1987; Clifford Lectures, Eric M. Friedlander Tulane University, 1990; Conference on Sym- Professor of mathematics, plectic Geometry and Its Applications, Cam- Northwestern University. bridge University, 1994. Born: January 7, 1944, Additional Information: Sloan Foundation Fel- Santurce, Puerto Rico. lowship, 1971–1972; Guggenheim Foundation Ph.D.: Massachusetts Fellowship, 1989–1990; Editor, Communications Institute of Technol- in Pure and Applied Mathematics, 1989– . ogy, June 1970. Selected Publications: 1. A splitting theorem AMS Committees: for manifolds, Invent. Math. 33 (1976), 69–170. Committee on Sum- MR 55 #11274; 2. with J. Shaneson, Nonlinear mer Institutes and similarity, Ann. of Math. 113 (1981), 315–355. MR Special Symposia, 83h:57060; 3. with R. Lee and E. Miller, A sym- 1986–1987; Commit- plectic geometry approach to generalized Cas- tee on the Publication son’s invariants of 3-manifolds, Bull. Amer. Math. Program, 1990–1994; Soc. (N. S.) 22 (1990), 269–275. MR 91b:57024; Committee on Sci- 4. with J. Shaneson, Genera of algebraic varieties ence Policy, 1992–1994; Proceedings Editorial and counting of lattice points, Bull. Amer. Math. Committee, 1992–; Bulletin (New Series) Editor- Soc. (N.S.) 30 (1994), 62–69. MR 94f:14018; 5. with ial Committee (Associate Editor for Research S. Weinberger, Replacement of fixed points and Reports), 1995–.

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Selected Addresses: Invited Address, Columbia, clude: Invited (with John Conway, Peter Doyle, Missouri, November 1985; Plenary Lecture (sur- and Bill Thurston) to give two-week intensive rogate speaker for Andrei Suslin), International geometry and the imagination course at Uni- Congress of Mathematicians, Berkeley, 1985. versity of Minnesota Geometry Center, June Additional Information: Humboldt Senior Sci- 1991; invited to team-teach experimental grad- entist Research Award, 1995–1997. uate workshop in hyperbolic geometry and dy- Selected Publications: 1. with H. B. Lawson, A namical systems at MSRI, August 1994. Member: theory of algebraic cocycles, Ann. of Math. 136 AWM, MAA. (1992), 361–428. MR 93g:14013; 2. with O. Gab- Selected Publications: 1. A matrix representa- ber, Cycle spaces and intersection theory, Topo- tion for automorphisms of Riemann surfaces, logical Methods in Modern Mathematics, Publish Linear Algebra and Appl. 17 (1977), 139–147. MR or Perish, Houston, TX, 1993, pp. 325-370. MR 58 #17077; 2. On the Nielsen type and the clas- 94j:14010; 3. with B. Mazur, Filtrations on the ho- sification of the mapping-class group, Adv. in mology of algebraic varieties, Mem. Amer. Math. Math. 40 (1981), 68–96. MR 82i:57006; 3. A geo- Soc., no. 529, Amer. Math. Soc., Providence, RI, metric approach to the hyperbolic Jørgensen in- 1994; 4. with W. Dwyer, Topological models for equality, Bull. Amer. Math. Soc. 16 (1987), 91–92. arithmetic, Topology 33 (1994), 1–24; 5. Filtra- MR 87m:30072; and A geometric approach to Jør- tions on algebraic cycles and homology, Ann. Sci. gensen’s inequality, Adv. in Math. 85 (1991), École Norm. Sup. (4), to appear. 193–197. MR 92c:30051; 4. with B. Maskit, An al- Statement: While continuing to address ener- gorithm for two-generator Fuchsian groups, getically the diverse concerns of the profession, Michigan Math. J. 38 (1991), 13–32. MR the American Mathematical Society should not 92f:30062; 5. Two-generator discrete subgroups lose sight of its central mission to foster and dis- of PSL(2,R), Mem. Amer. Math. Soc., Vol. 117, seminate mathematics. No. 56, September 1995. Statement: The mathematical community is fac- Jane P. Gilman ing changes that affect virtually every aspect of Professor of mathematics, the profession, and there are, no doubt, impor- Rutgers University, Newark. tant decisions ahead for the AMS. The Nomi- Born: April 17, 1945, nating Committee should make a special effort Washington, D.C. to seek out thoughtful and informed candidates Ph.D.: Columbia Uni- from all parts of the mathematical community. versity, 1971. AMS Offices: Mem- Daniel J. Kleitman ber-at-Large of the Professor, Department of Mathematics, Council, 1986–1988. Massachusetts Institute of Technology. AMS Committees: Born: October 4, 1934, New York, New York. Nominating Commit- Ph.D.: Harvard University, 1958. tee, 1988 and 1989 AMS Committees: AMS-IMS-SIAM Committee (chair); Nominating on Joint Summer Research Conferences in the Committee Schedul- Mathematical Sciences, 1988–1989. ing Committee, 1990. Additional Information: Academic positions: Selected Addresses: Invited Addresses: AMS NSF Postdoctoral Fellow (physics), Niels Bohr Joint Summer Conference on Riemann Surfaces Institute, Copenhagen, and Harvard University, and Discrete Groups, Arcata, July 1989; AMS 1958–1960; Assistant professor of physics, Bran- Joint Summer Conference on Nielsen Theory deis University, 1960–1966 (on leave spring 1994 and Dynamical Systems, Mount Holyoke Col- at Harvard University); Associate professor of ap- lege, June 1992; AMS Conference in Honor of plied mathematics, MIT, 1966–1969; Professor Bernie Maskit, Hartford, March 1995; more than of applied mathematics, MIT, 1969–. Academic a dozen invited talks at AMS special sessions, administration (MIT): Educational Policy Com- 1978–1995. mittee, 1971–1973; Discipline Committee, Additional Information: Chair, Department of 1971–1973; Applied Mathematics Committee, Mathematics and Computer Science, Rutgers 1974–1976 (chair); Faculty Nomination Com- University, Newark, 1982–1990; Member, Insti- mittee, 1978–1979; Advisory Committee for Ed- tute for Advanced Study, 1979-1980, and spring ucation Division, 1979–1981; Committee on So- semester, 1992; Member, Mathematical Sciences cial Science Research, 1978–1979; head, Research Institute, January 1986–June 1986, and Department of Mathematics, 1979–1984; Ap- January 1996–June 1996; Supported short-term plied Mathematics Committee, 1988–1989 visitor: IHES, October and November 1995; Mit- (chair); Member, Committee on Women Faculty, tag-Leffler Institute, November 1989. Math- School of Science, 1995– . Mathematical com- ematical and educational reform activities in- munity activities: CUPM Panel on Applied Math-

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ematics, 1968–1972; SIAM Nominating Com- Joel Spruck mittee, 1974–1976; Visiting Committee, Univer- Professor of mathematics, sity of Pennsylvania, 1978; Visiting Committee, Johns Hopkins University. Harvard University, 1980–1984; Visiting Com- Born: October 3, 1946, Brooklyn, New York. mittee, South Carolina Commission on Higher Ed- Ph.D.: Stanford University, 1971. ucation, 1987; NSF Site Visit Panel, 1988; Mem- Selected Addresses: International Congress of ber, NRC Panel on NSA, 1988–1990; Member, Mathematicians (45-minute lecture), Zurich, 1994. Evaluation Team, Emory University, 1992; Eval- Selected Publications: 1. with L. A. Caffarelli and uation Team, Dartmouth College, 1993 (chair); L. Nirenberg, The Dirichlet problem for nonlin- Member, NRC Associateship Program, ear second order equations. I. Monge-Ampère 1993–1995; Member, Visiting Committee, Lehigh equation, Comm. Pure Appl. Math. 37 (1984), University, 1994. 369–402. MR 87f:35096; 2. with L. A. Caffarelli and B. Gidas, Asymptotic symmetry and local be- James V. Ralston havior of semilinear elliptic equations with criti- Professor of mathematics, cal Sobolev growth, Comm. Pure Appl. Math. 42 University of California, Los Angeles. (1989), 271–297. MR 90c:35075; 3. with L. C. Born: June 26, 1943, Elyria, Ohio. Evans, Motion of level sets by mean curvature. I, Ph.D.: Stanford University, 1969. J. Differential Geom. 33 (1991), 635–651. MR Selected Addresses: Invited Address, Provi- 92h:35097; 4. with B. Guan, Boundary value dence, August 1978; Workshop on Spectral and problems on Sn for surfaces of constant Gauss Scattering Theory of Partial Differential Opera- curvature, Ann. of Math. 138 (1993), 601–624. tors, Hebrew University, 1990; Conference on Lin- MR 94i:53039; 5. with H. Rosenberg, On the ex- ear and Nonlinear Scattering, Johns Hopkins istence of convex hypersurfaces of constant Gauss University, 1995. curvature in hyperbolic space, J. Differential Additional Information: Co-managing Editor, Geom. 40 (1994), 379–409. MR 95g:53007. Communications in Partial Differential Equa- tions, 1986– . Editorial Boards Committee Selected Publications: 1. with C. S. Morawetz and W. Strauss, Decay of solutions of the wave equa- Sun-Yung Alice Chang tion outside nontrapping obstacles, Comm. Pure Professor, Department of Mathematics, Appl. 30 (1977), 447–508. MR 58 #23091a; 2. with University of California, Los Angeles. C. Bardos and J.-C. Guillot, La rélation de Pois- Born: March 24, 1948, son pour l’équation des ondes dans un ouvert non- Ci-an, China. bourné. Application à la théorie de la diffusion. Ph.D.: University of Comm. Partial Differential Equations 7 (1982), California, Berkeley, 905–958. MR 84d:35120; 3. with E. Trubowitz, 1974. Isospectral sets for boundary value problems on AMS Offices: Vice- the unit interval, Ergodic Theory Dynamical Sys- President, 1989– tems 8 (1988), 301–358. MR 89m:34035; 4. with 1991. G. Eskin, The inverse backscattering problem in AMS Committees: three dimensions, Comm. Math. Phys 124 (1989), AMS representative, 169–215. MR 90j:35067. Evaluation Panel for Statement: If one accepts the fashionable but du- NSF Postdoctoral Fel- bious proposition that outsiders are somehow lowships, 1982–1985, better qualified for office, then I am an ideal can- 1992–1995; Committee on Translation from Chi- didate for this position. During my twenty-five nese, 1983– ; Committee to Select Hour Speak- years of membership, I have been cheerfully ers for Far Western Sectional Meetings, 1989, and oblivious to the operations of the AMS. However, Far Western Section Program Committee, 1990 it is apparent even to me that the AMS increas- (chair, 1990). Transactions and Memoirs Editor- ingly needs to go beyond its traditional role of ial Committee, 1991–1994. facilitating communication between and con- Selected Addresses: Invited Address, Toronto, ferring honors on its members to the creation August 1982; International Congress of Math- of mathematics curricula and the advocacy of ematicians, Berkeley, 1986; Invited Address, federal support for mathematics. As a member Louisville, January 1990; Invited Speaker, Re- of this committee, I would try to nominate peo- gional Geometry Institute, Park City, Utah, 1992. ple able to carry this out. Additional Information: Sloan Foundation Fel- lowship, 1979–1981; Member, Board of Math- ematical Sciences, 1989–1992; Managing Editor, Pacific Journal of Mathematics, 1994– ; Editor: Journal of Mathematical Research Letters, 1994– ;

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Journal of Functional Analysis and Applications, Math. Phys. 106 (1986), 41–89. MR 88i:82054; 1994– . Satter Prize, American Mathematical So- 3. with M. Aizenman, L. Chayes, and C. M. New- ciety, 1995. Member: AWM, MAA. man, Discontinuity of the magnetization in Selected Publications: 1. A characterization of 1/ x y 2 Ising and Potts models, J. Statist. Phys. Douglas subalgebras, Acta Math. 137 (1976), 50|(1988),− | 1–40. MR 89f:82072; 4. with J. Carl- 82–89. MR 55 #1047a; 2. with R. A. Fefferman, son, E. Grannan, and G. Swindle, Self-organized A continuous version of duality of H1 with BMO criticality and singular diffusion, Phys. Rev. Lett. on the bidisc, Ann. of Math. 112 (1980), 179–201. 65 (1990), 2547–2550. MR 91h:82035; 5. with M. MR 82a:32009; 3. with L. Carleson, On the exis- Campanino and L. Chayes, Gaussian fluctuations tence of an extremal function for an inequality of the connectivities in the subcritical regime of of J. Moser, Bull. Sci. Math. 110 (1986), 113–127. percolation, Probab. Theory Related Fields 88 MR 88f:46070; 4. with P. C. Yang, Prescribing (1991), 269–341. MR 92b:60096. Gaussian curvature on S2, Acta Math. 159 (1987), Statement: The Editorial Boards Committee is 215–259. MR 88m:35056; 5. with P. C. Yang, Ex- charged with nominating mathematicians to tremal metrics of zeta function determinants on serve on the editorial boards of AMS publica- 4-manifolds, Ann. of Math., 1995, to appear. tions. In my view, the Committee has a dual pur- Statement: If elected, I will try my best to be well pose. First, it should make nominations reflect- informed and evenhanded in soliciting sugges- ing the high standards of the AMS publications. tions of nominations for each AMS editorial com- Second, when consistent with the first goal, it mittee. should make nominations reflecting the broad interests and diversity of the mathematics com- Jennifer Tour Chayes munity. I intend to pursue these goals by solic- Professor of mathematics, iting and carefully considering suggestions from University of California, Los Angeles. the community at large. Born: September 20, 1956, New York, New Andrew Granville York. David C. Barrow Professor of Mathematics, Ph.D.: Princeton Uni- University of Georgia. versity, 1983. Born: September 7, Selected Addresses: 1962, London, Eng- Invited Address, land. Irvine, November Ph.D.: Queen’s Uni- 1990; Invited Talks: versity, Kingston, On- Twenty-second Con- tario, Canada, 1987. ference on Stochastic Selected Addresses: Processes, Amster- XXVI National Con- dam, 1993; NATO gress of the Sociedad Meeting on Probability Theory, Newton Insti- Matematica Mexi- tute, Cambridge, England, 1993. Organizer and cana, Morelia, Mexico Speaker, Special Session, AAAS Annual Meeting, 1993; 100th Anniver- San Francisco, 1994; Principal Speaker, Mark Kac sary of the Birth of Lectures, Utrecht, Netherlands, 1995. Harald Cramér, Stockholm, Sweden 1993; L- Additional Information: Alfred P. Sloan Fellow, functional Classical Problems, Isaac Newton In- 1989–1992; Member, Editorial Search Commit- stitute, Cambridge, England 1993; International tee, Journal of Mathematical Physics, American Congress of Mathematicians, Zurich, Switzer- Physical Society, 1991–1992; Associate Editor, land 1994; AMS-MAA Mathfest, Burlington, Ver- Journal of Statistical Physics, 1991–1993; Advi- mont, August 1995. sory Panel for the NSA Mathematical Sciences Additional Information: Alfred P. Sloan Re- Program, 1992–1994; Mortar Board Honor Soci- search Fellowship, 1992–1995; Presidential Fac- ety Teaching Award, University of California, ulty Fellowship, 1994–1999; Hasse Prize, MAA, Los Angeles, 1993; Distinguished Teaching 1995. Editorial Boards: New York Journal of Award in Mathematics, University of California, Mathematics, 1993–; Electronic Journal of Com- Los Angeles, 1994. binatorics, 1994–; Journal of , Selected Publications: 1. with M. Aizenman, L. 1995– ; Maple Technical Newsletter, 1995–; Ra- Chayes, J. Fröhlich, and L. Russo, On a sharp tran- manujan Quarterly (forthcoming); Board of Di- sition from area law to perimeter law in a sys- rectors, The Fibonacci Association, 1992–. tem of random surfaces, Comm. Math. Phys. 92 Selected Publications: 1. with J. B. Friedlander, (1983), 19–69. MR 85d:82006; 2. with L. Chayes, Limitations to the equidistribution of primes. I, J. P. Sethna, and D. J. Thouless, A mean-field Ann. of Math. 129 (1989), 363–382. MR spin glass with short-range interactions, Comm. 90e:11125; 2. with E. Bombieri and J. Pintz,

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Squares in arithmetic progressions, Duke Math. J. 66 (1992), 369–385. MR 93d:11106; 3. Zaphod Beeblebrox’s brain and the fifty-ninth row of Pas- cal’s Triangle, Amer. Math. Monthly 99 (1992), 318–331 (winner of the 1995 Hasse Prize for ex- pository writing). MR 93a:05008; 4. with R. Alford and C. Pomerance, There are infinitely many Carmichael numbers, Ann. of Math. 140 (1994), 703–722; 5. with K. Ono, The classification of defect zero p-blocks for finite simple groups, Trans. Amer. Math. Soc., to appear. Statement: Perhaps the biggest challenge that mathematical publishing and the AMS must face over the next few years is the inevitable changes brought on by electronic publication. Most in- dustry experts believe that the quality of the “on-screen page” will improve to paper quality within the next few years. Moreover, electronic journals are far cheaper, more accessible (you may fetch articles without leaving your office), more flexible (for instance, you may make “links” to references and add “comments” after publi- cation), and more immediate, allowing quicker dissemination of results and ideas. It seems in- evitable that AMS journals must embrace this new era, but, at the same time, we must safe- guard quality while these changes take place. Since most of its current income derives from paper publication, the Society has adopted a cautious attitude toward electronic publication, probably because it feels threatened by a deep cut in revenues. Nonetheless, the AMS’s mission is to serve the interests of its members and the cause of mathematics, while also being respon- sible financially; and, as a founding editor of two of the existing electronic journals, I will make sure that the Editorial Boards Committee and the AMS seek to take advantage of the tremendous opportunities that electronic publication offers while maintaining the traditional high standards of its journals.

Joel H. Spencer Professor of mathematics and computer science, Courant Institute of Mathematical Sciences, New York University. Born: April 20, 1946, Brooklyn, New York. Ph.D.: Harvard University, 1970. AMS Committees: Program Committee for Na- tional Meetings, 1994– (chair, 1995–). Selected Addresses: International Congress of Mathematicians, Zurich, 1994. Additional Information: Ford Award, 1984. Co- founder and co-editor-in-chief of the journal Random Structures and Algorithms. Member: AMS, MAA, SIAM. Selected Publications: 1. with N. Alon, The prob- abilistic method, Wiley, New York, 1992. MR 93h:60002; 2. co-editor (with R. L. Graham and B. L. Rothschild), Ramsey theory, second ed. Wiley, New York, 1990. MR 90m:05003.

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