Leroy P. Steele Prize

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993 there has been a formal division into three categories.

The prizes have been given since 1970, from a bequest of Leroy P. Steele, and were set up in honor of George David Birkhoff, William Fogg Osgood and William Caspar Graustein. The way the prizes are awarded was changed in 1976 and 1993, but the initial aim of honoring expository writing as well as research has been retained. The prizes of $5,000 are not given on a strict national basis, but relate to mathematical activity in the USA, and writing in English (originally, or in translation).

The Leroy P. Steele Prize for Lifetime Achievement

The Leroy P. Steele Prize for Mathematical Exposition

Year Prizewinner Citation
2017 Dusa McDuff and Dietmar Salamon for their book "J-holomorphic Curves and Symplectic Topology" (AMS Colloquium Publications, 52, 2004; second edition 2012)
2016 David A. Cox, John Little and Donal O'Shea for their book "Ideals, Varieties, and Algorithms," which has made algebraic geometry and computational commutative algebra accessible not just to mathematicians but to students and researchers in many fields.
2015 Robert Lazarsfeld for his books "Positivity in Algebraic Geometry I and II", published in 2004. These books were instant classics that have profoundly influenced and shaped research in algebraic geometry over the past decade.
2014 Yuri Burago, Dmitri Burago, Sergei Ivanov awarded to Yuri Burago, Dmitri Burago, and Sergei Ivanov for their book A Course in Metric Geometry, in recognition of excellence in exposition and promotion of fruitful ideas in geometry.
2013 John Guckenheimer, Philip Holmes in recognition of their book, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Applied Mathematical Sciences, 42, Springer-Verlag, New York, 1983; reprinted with revisions and corrections, 1990).
2012 Michael Aschbacher, Richard Lyons, Steve Smith, Ronald Solomon for their work, The classification of finite simple groups: groups of characteristic 2 type, Mathematical Surveys and Monographs, 172, American Mathematical Society, Providence, RI, 2011.
2011 Henryk Iwaniec for his long record of excellent exposition, both in books and in classroom notes.
2010 David Eisenbud for his book, Commutative Algebra: With a View Toward Algebraic Geometry (Graduate Texts in Mathematics, 150, Springer-Verlag, New York, 1995. xvi+785 pp.)
2009 I.G. Macdonald for his book Symmetric Functions and Hall Polynomials (second edition, Clarendon Press, Oxford University Press, 1995).
2008 Neil Trudinger for his book Elliptic Partial Differential Equations of Second Order, written with the late David Gilbarg.
2007 David Mumford or his beautiful expository accounts of a host of aspects of algebraic geometry, including The Red Book of Varieties and Schemes (Springer, 1988).
2006 Lars Hörmander for his book, The Analysis of Linear Partial Differential Operators.
2005 Branko Grünbaum for his book, Convex Polytopes.
2004 John Milnor in recognition of a lifetime of expository contributions ranging across a wide spectrum of disciplines including topology, symmetric bilinear forms, characteristic classes, Morse theory, game theory, algebraic K-theory, iterated rational maps...and the list goes on.
2003 John Garnet for his book, Bounded Analytic Functions (Pure and Applied Mathematics, 96, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1981, xvi + 467 pp.)
2002 Yitzhak Katznelson for his book on harmonic analysis.
2001 Richard Stanley in recognition of the completion of his two-volume work Enumerative Combinatorics.
2000 John H. Conway in recognition of his many expository contributions in automata, the theory of games, lattices, coding theory, group theory, and quadratic forms.
1999 Serge Lang for his many mathematics books. Among Lang's most famous texts are Algebra [Addison-Wesley, Reading, MA, 1965; Second edition, 1984; Third edition, 1993, ISBN 0-201-55540-9] and Algebraic Number Theory [Addison-Wesley, Reading, MA, 1970; Second edition, Graduate Texts in Mathematics, 110, Springer-Verlag, New York, 1994, ISBN 0-387-94225-4].
1998 Joseph Silverman for his books, The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics 106, Springer-Verlag, New; York-Berlin, 1986; and Advanced Topics in the Arithmetic of Elliptic Curves, Graduate Texts in Mathematics 151, Springer-Verlag, New York, 1994.
1997 Anthony W. Knapp for his book, Representation Theory of Semisimple Groups (An overview based on examples), Princeton University Press, 1986, a beautifully written book which starts from scratch but takes the reader far into a highly developed subject.
1996 Bruce Berndt for the four volumes, Ramanujan's Notebooks, Parts I, II, III, and IV (Springer, 1985, 1989, 1991, and 1994).
1996 William Fulton for his book, Intersection Theory, Springer-Verlag, "Ergebnisse series," 1984.
1995 Jean-Pierre Serre for his 1970 book Cours d'Arithmétique, with its English translation, published in 1973 by Springer Verlag, A Course in Arithmetic.
1994 Ingrid Daubechies for her book, Ten Lectures on Wavelets (CBMS 61, SIAM, 1992, ISBN 0-8987-1274-2).
1993 Walter Rudin for his books Principles of Mathematical Analysis, McGraw-Hill (1953, 1964, and 1976); and Real and Complex Analysis, McGraw-Hill (1966, 1974, and 1976).

The Leroy P. Steele Prize for Seminal Contribution to Research

Year Prizewinner Citation
2017 Leon Simon for his fundamental contributions to Geometric Analysis and in particular for his 1983 paper "Asymptotics for a Class of Non-Linear Evolution Equations, with Applications to Geometric Problems", published in the Annals of Mathematics.
2016 Andrew Majda for his books "The existence of multidimensional shock fronts," Vol 43, Number 281, and "The stability of multidimensional shock fronts," Vol 41, Number 275. Both books appeared in the Memoirs of the AMS in 1983.
2015 Rostislav Grigorchuk for his influential paper "Degrees of growth of finitely generated groups and the theory of invariant means," which appeared in Russian in 1984 in Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya and in English translation a year later. The paper stands as a landmark in the development of the now-burgeoning area of geometric group theory.
2014 Luis Caffarelli, Robert Kohn and Louis Nirenberg for their paper, "Partial regularity of suitable weak solutions of the Navier-Stokes equations." Communications Pure and Applied Math, vol 35 no 6, 771-831 (1982).
2013 Saharon Shelah for his book, Classification Theory and the Number of Nonisomorphic Models (Studies in Logic and the Foundations of Mathematics, 92, North-Holland Publishing Co., Amsterdam–New York, 1978; 2nd edition, 1990).
2012 William Thurston for his contributions to low dimensional topology, and in particular for a series of highly original papers, starting with "Hyperbolic structures on 3-manifolds. I. Deformation of acylindrical manifolds" (Ann. of Math. (2) 124 (1986), no. 2, 203–246), that revolutionized 3-manifold theory.
2011 Ingrid Daubechies for her paper, "Orthonormal bases of compactly supported wavelets" (Communications on Pure and Applied Mathematics, 41 (1988), no. 7, 909-996).
2010 Robert Griess for his construction of the "Monster" sporadic finite simple group, which he first announced in "A construction of F1 as automorphisms of a 196,883-dimensional algebra" (Proc. Natl. Acad. Sci. U.S.A. 78 (1981), no. 2, part 1, 686–691) with details published in "The friendly giant" (Invent. Math. 69 (1982), no. 1, 1–102).
2009 Richard S. Hamilton for his paper "Three-manifolds with positive Ricci curvature," J. Differential Geom. 17 (1982), 255-306.
2008 Endre Szemerédi for his paper "On sets of integers containing no k elements in arithmetic progression", Acta Arithmetica XXVII (1975), 199-245.
2007 Karen Uhlenbeck for her foundational contributions in analytic aspects of mathematical gauge theory. These results appeared in the two papers: "Removable singularities in Yang-Mills fields", Communications in Mathematical Physics, 83 (1982), 11-29 and "Connections with L:P bounds on curvature", Communications in Mathematical Physics, 83 (1982), 31-42.
2006 Clifford S. Gardner, John M. Greene, Martin D. Kruskal, Robert M. Miura for their paper "KortewegdeVries equation and generalizations. VI. Methods for exact solution", Comm. Pure Appl. Math. 27 (1974), 97–133.
2005 Robert P. Langlands for his paper "Problems in the theory of automorphic forms," (Springer Lecture Notes in Math. 170 (1970), 18-86). This is the paper that introduced what are now known as the Langlands conjectures.
2004 Lawrence C. Evans and Nicolai V. Krylov for the "Evans-Krylov theorem" as first established in the papers: Lawrence C. Evans, "Classical solutions of fully nonlinear convex, second order elliptic equations", Communications in Pure and Applied Mathematics 35 (1982), no. 3, 333–363; and N. V. Krylov, "Boundedly inhomogeneous elliptic and parabolic equations", Izvestiya Akad. Nauk SSSR, ser. mat. 46 (1982), no. 3, 487–523; and translated in Mathematics of the USSR, Izvestiya 20 (1983), no. 3, 459–492.
2003 Ronald Jensen and Michael Morley for his paper "The fine structure of the constructible hierarchy" (Annals of Mathematical Logic 4 (1972) 229–308); and to Michael Morley for his paper "Categoricity in power" (Transactions of the AMS 114 (1965) 514–538).
2002 Mark Goresky and Robert MacPherson for the papers, "Intersection homology theory", Topology 19 (1980), no. 2, 135–62 (IH1) and "Intersection homology. II", Invent. Math. 72 (1983), no. 1, 77–129 (IH2).
2001 Leslie F. Greengard and Vladimir Rokhlin for the paper "A fast algorithm for particle simulations", J. Comput. Phys. 73, no. 2 (1987), 325-348.
2000 Barry Mazur for his paper "Modular curves and the Eisenstein ideal" in Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques, no. 47 (1978), 33-186.
1999 Michael G. Crandall for two seminal papers: "Viscosity solutions of Hamilton-Jacobi equations" (joint with P.-L. Lions), Trans. Amer. Math. Soc. 277 (1983), 1-42, and "Generation of semi-groups of nonlinear transformations on general Banach spaces" (joint with T.M. Liggett), Amer. J. Math. 93 (1971), 265-298.
1999 John F. Nash for his remarkable paper: "The embedding problem for Riemannian manifolds," Ann. of Math. (2) 63 (1956) 20-63.
1998 Herbert Wilf and Doron Zeilberger for their joint paper, "Rational functions certify combinatorial identities," Journal of the American Mathematical Society, 3 (1990) 147-158.
1997 Mikhail Gromov for his paper, Pseudo-holomorphic curves in symplectic manifolds, Inventiones Math. 82 (1985), 307-347, which revolutionized the subject of symplectic geometry and topology and is central to much current research activity, including quantum cohomology and mirror symmetry.
1996 Daniel Stroock and S. R. Srinivasa Varadhan for their four papers: Diffusion processes with continuous coefficients I and II, Comm. Pure Appl. Math. 22 (1969), 345-400, 479-530; On the support of diffusion processes with applications to the strong maximum principle, Sixth Berkeley Sympos. Math. Statist. Probab., vol. III, 1970, pp. 333–360; Diffusion processes with boundary conditions, Comm. Pure Appl. Math. 34 (1971), 147-225; Multidimensional diffusion processes, Springer-Verlag, 1979.
1995 Edward Nelson for the following two papers in mathematical physics characterized by leaders of the field as extremely innovative: A quartic interaction in two dimensions in Mathematical Theory of Elementary Particles, MIT Press, 1966, pages 69–73; and Construction of quantum fields from Markoff fields in Journal of Functional Analysis, 12 (1973), 97-112. In these papers he showed for the first time how to use the powerful tools of probability theory to attack the hard analytic questions of constructive quantum field theory, controlling renormalizations with L^p estimates in the first paper, and in the second turning Euclidean quantum field theory into a subset of the theory of stochastic processes.
1994 Louis de Branges for his proof of the Bieberbach Conjecture.
1993 George Daniel Mostow for his paper Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, number 78, Princeton University Press (1973).

Leroy P. Steele Prizes awarded prior to 1993

See also

References

  1. ↑ "Obituary Lawrence E. Payne". The Ithaca Journal. Gannett Company. August 12, 2011. Retrieved October 13, 2011.
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