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Prize: Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present)

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2021 Murray Gerstenhaber

The 2021 Steele Prize for Seminal Contribution to Research is awarded to Murray Gerstenhaber for The cohomology structure of an associative ring,

*Ann. Math.* 78 (1963), 267-288 and On the deformation of rings and algebras,

*Ann. Math.* 79 (1964), 59-103. These two remarkable *Annals of Mathematics* papers established the foundations of algebraic deformation theory, developing a rich structure on the Hochschild cohomology. These papers have had and continue to have a huge impact on many areas of mathematics and physics, including higher algebra

and deformation quantization.

Prize announcement as seen in the news release.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2020 Craig A. Tracy; Professor H. Widom

The 2020 Steele Prize for Seminal Contribution to Research in Analysis/Probability Theory is awarded to **Craig Tracy **and **Harold Widom **for the paper "Level-spacing distributions and the Airy kernel," published in 1994 in *Communications in Mathematical Physics*.

Prize announcement as seen in the news release.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2019 Professor Haruzo Hida

**Haruzo Hida** will receive the 2019 Seminal Contribution to Research Prize for his highly original paper, "Galois representations into GL_{2}(**Z*** _{p}*[[

Prize announcement as seen in *Notices of the AMS* and in the news release.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2018 Sergey Fomin; Andrei V Zelevinsky

Awarded to Sergey Fomin and Andrei Zelevinsky (posthumously) for their paper "Cluster algebras I: Foundations," published in 2002 in the Journal of the American Mathematical Society.

Prize announcement as seen in *Notices of the AMS* and in the news release.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2017 Leon Simon

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2016 Andrew J. Majda

Awarded to Andrew J. Majda for two papers published in the Memoirs of the AMS in 1983: "The existence of multidimensional shock fronts," Vol 43, Number 281, and "The stability of multidimensional shock fronts," Vol 41, Number 275.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2015 Rostislav Grigorchuk

Awarded to 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2014 Robert Kohn; Luis A. Caffarelli; Louis Nirenberg

Awarded to 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).

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 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).

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2012 William P. Thurston

To 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2011 Ingrid Daubechies

To Ingrid Daubechies for her paper, "Orthonormal bases of compactly supported wavelets" (*Communications on Pure and Applied Mathematics*, 41 (1988), no. 7, 909-996).

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2010 Robert L. Griess Jr.

To Robert L. Griess Jr. 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. Nat. 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).

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2009 Richard Hamilton

To Richard Hamilton for his paper "Three-manifolds with positive Ricci curvature," *J. Differential Geom.* 17 (1982), 255-306.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2008 Endre Szemerédi

To Endre Szemerédi for his paper "On sets of integers containing no k elements in arithmetic progression", *Acta Arithmetica* XXVII (1975), 199-245.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2007 Karen Uhlenbeck

To 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2006 Clifford S. Gardner; John M. Greene; Martin D. Kruskal; Robert M. Miura

To Clifford S. Gardner, John M. Greene, Martin D. Kruskal, and Robert M. Miura for their paper "KortewegdeVries equation and generalizations. VI. Methods for exact solution", *Comm. Pure Appl. Math.* 27 (1974), 97-133.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2005 Robert P. Langlands

To 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2004 Lawrence C. Evans; Nicolai V. Krylov

To 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2003 Ronald Jensen; Michael Morley

To Ronald Jensen 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).

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2002 Mark Goresky; Robert MacPherson

To 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).

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2001 Leslie F. Greengard; Vladimir Rokhlin

To Leslie F. Greengard and Vladimir Rokhlin for the paper "A fast algorithm for particle simulations", *J. Comput. Phys.* 73, no. 2 (1987), 325-348.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 2000 Barry Mazur

To 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1999 Michael G. Crandall; John F. Nash

To John F. Nash for his remarkable paper: "The embedding problem for Riemannian manifolds," *Ann. of Math.* (2) 63 (1956) 20-63.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1998 Herbert Wilf; Doron Zeilberger

To Herbert Wilf and Doron Zeilberger for their joint paper, "Rational functions certify combinatorial identities," *Journal of the American Mathematical Society*, 3 (1990) 147-158.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1997 Mikhael Gromov

To Mikhael 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1996 Daniel Stroock; S.R.S. Varadhan

To Daniel Stroock and S.R.S. 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1995 Edward Nelson

To 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.

Prize announcement as seen in *Notices of the AMS*.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1994 Louis de Branges

To Louis de Branges for his proof of the Bieberbach Conjecture.

Leroy P. Steele Prize for Seminal Contribution to Research (1993 - present) 1993 George Daniel Mostow

To George Daniel Mostow for his paper *Strong rigidity of locally symmetric spaces*, Annals of Mathematics Studies, number 78, Princeton University Press (1973).