勒羅伊·斯蒂爾獎

獎項

美國數學學會頒發的勒羅伊·斯蒂爾獎(英語:Leroy P. Steele Prize)是一個數學獎項。

美國數學學會(AMS)標誌

這個獎項由1970年開始頒發,意向乔治·戴维·伯克霍夫威廉·佛格·奧斯古德William Caspar Graustein英语William Caspar Graustein三位數學家致敬;獎項以捐款者勒羅伊·P·斯蒂爾命名。1993年,授獎委員會決定以三個類別來頒獎:終身成就、(數學)解說和開創性研究。

現時此獎的獎金是5,000美元。

斯蒂爾終身成就獎编辑

終身成就獎是頒給一直為數學界貢獻的得獎者,包括長期深入的研究,培養博士生(下一代的數學家),或對特定的數學領域的研究方向作出值得世人銘記的影響。

 
2005年得獎者俄羅斯數學家伊斯拉埃爾·蓋爾范德

斯蒂爾(數學)解說獎编辑

依出色的數學書、綜述論文,或,解說性質的論文或書籍,而授予對應的作者。

年份 得獎者 授獎的相關論文/書籍
2020 Martin R. Bridson英语Martin R. Bridson
Andre Haefliger英语Andre Haefliger
Metric Spaces of Non-positive Curvature (譯:《非正曲率度量空間》,1999年出版)
2019 菲利普·弗拉若萊(追頒)
羅伯特·塞奇威克
Analytic Combinatorics(譯:《解析組合學》)
2018 Martin Aigner英语Martin Aigner
Gunter M. Ziegler英语Gunter M. Ziegler
Proofs from THE BOOK
2017 杜薩·麥克多夫
Dietmar Salamon英语Dietmar Salamon
J-holomorphic Curves and Symplectic Topology(譯:《擬全純曲線扭對稱拓樸學》) (AMS Colloquium Publications, 52, 初版 2004; 第二版 2012)
2016 David A. Cox英语David A. Cox
John Little英语John Little (mathematician)
Donal O'Shea英语Donal O'Shea
Ideals, Varieties, and Algorithms (譯:《演算法》)
2015 Robert Lazarsfeld英语Robert Lazarsfeld Positivity in Algebraic Geometry I and II, 2004
2014 Yuri Burago英语Yuri Burago
Dmitri Burago英语Dmitri Burago
Sergei Ivanov英语Sergei Ivanov
A Course in Metric Geometry(譯:《度量幾何學教程》)
2013 John Guckenheimer英语John Guckenheimer
Philip Holmes英语Philip Holmes
 
逐漸變成有序的分岔,之後是逐漸變成混沌的分岔

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields(譯:《非線性振盪動力系統向量場分岔》) (Applied Mathematical Sciences, 42, Springer-Verlag, New York, (1983出版); 更新版:(1990出版)).

2012 Michael Aschbacher英语Michael Aschbacher
Richard Lyons英语Richard Lyons (mathematician)
Steve Smith英语Steve Smith (mathematician)
Ronald Solomon英语Ronald Solomon
The classification of finite simple groups: groups of characteristic 2 type, Mathematical Surveys and Monographs, 172, American Mathematical Society, Providence, RI, 2011.
2011 亨里克·伊萬尼克 多本著作,包括:
  • Introduction to the Spectral Theory of Automorphic Forms
  • Topics in Classical Automorpic Forms
2010 David Eisenbud英语David Eisenbud 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英语I.G. Macdonald Symmetric Functions and Hall Polynomials (第二版, Clarendon Press, Oxford University Press, 1995).
2008 Neil Trudinger英语Neil Trudinger Elliptic Partial Differential Equations of Second Order(譯:《二次橢圓偏微分方程》),(與 David Gilbarg 合著)
2007 戴維·芒福德 代數幾何方面的多本著作,包括The Red Book of Varieties and Schemes (Springer, 1988).
2006 Lars H英语Lars Hörmander The Analysis of Linear Partial Differential Operators(譯:《線性偏微分算子分析》)
2005 Branko Grunbaum英语Branko Grunbaum Convex Polytopes(譯:《凸多胞形》)
2004 約翰·米爾諾 貢獻繁多,且不止一個領域:拓樸學、 對稱雙線性形式 、 characteristic classes 、 莫爾斯理論博奕論、 algebraic K-theory 及 iterated rational maps 等。
2003 John B. Garnett英语John B. Garnett Bounded Analytic Functions(譯:《有界解析函數》) (Pure and Applied Mathematics, 96, Academic Press, Inc. Harcourt Brace Jovanovich, Publishers, New York-London, 1981, xvi + 467 pp.)
2002 Yitzhak Katznelson英语Yitzhak Katznelson An Introduction to Harmonic Analysis(譯:《調和分析入門》)
2001 理察·史丹利 Enumerative Combinatorics (譯:《計數組合學》)
2000 約翰·何頓·康威 研究領域和著作都相當多,領域遍及細胞自動機博奕論編碼理論群論二次型等。
1999 塞爾日·蘭 著作等身,較有名的是:
  • Algebra(譯:《代數學》) [Addison-Wesley, Reading, MA, 1965; Second edition, 1984; Third edition, 1993, ISBN 0-201-55540-9]
  • Algebraic Number Theory(譯:《代數數論》) [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英语Joseph Silverman
  • The Arithmetic of Elliptic Curves (譯:《橢圓曲線算術》), Graduate Texts in Mathematics 106, Springer-Verlag, New; York-Berlin, 1986
  • Advanced Topics in the Arithmetic of Elliptic Curves(譯:《高等橢圓曲線算術的一些主題》), Graduate Texts in Mathematics 151, Springer-Verlag, New York, 1994.
1997 Anthony W. Knapp英语Anthony W. Knapp Representation Theory of Semisimple Groups: An overview based on examples(譯:《半簡單群表示理論》), Princeton University Press, 1986
1996 Bruce Berndt英语Bruce Berndt Ramanujan's Notebooks, Parts I, II, III, and IV(譯:《拉馬努金的筆記本》(共4冊)) (Springer, 1985, 1989, 1991, and 1994).
1996 威廉·富爾頓 Intersection Theory(譯:《相交理論》), Springer-Verlag, "Ergebnisse series," 1984.
1995 讓-皮埃爾·塞爾 Cours d'Arithmetique(1970年出版),英譯本A Course in Arithmetic(1973年出版)
1994 英格麗·多貝西 Ten Lectures on Wavelets(譯:《小波分析十講》)
1993 沃爾特·魯丁
  • Principles of Mathematical Analysis(譯:《數學分析原理》)
  • Real and Complex Analysis(譯:《實分析與複分析》)

斯蒂爾開創性研究貢獻獎编辑

開創性研究貢獻獎的獲獎條件是:得獎者的論文(或,有時,一系列的論文)深入或如「奠下基石」般地影響了某特定數學領域,另一個情況是該論文是在該數學研究領域的「楷模」。

2010年得獎者羅伯特‧格里斯的研究主題有限群魔群的大小是:
   246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71
= 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000
≈ 8×1053.

數學上的子領域甚多,這個獎項將會按照以下五個領域,再加上一年度以不限領域,而輪流領獎:

  1. 不限領域(下次以據此條件頒獎的年份:2025)
  2. 數學分析概率論(下次以此領域頒獎年份:2026)
  3. 代數數論(下次以此領域頒獎年份:2021)
  4. 應用數學(下次以此領域頒獎年份:2022)
  5. 幾何學拓樸學(下次以此領域頒獎年份:2023)
  6. 離散數學數理邏輯(下次以此領域頒獎年份:2024)
年份 得獎者 授獎的相關論文/書籍
2020 Craig Tracy英语Craig Tracy
Harold Widom英语Harold Widom
"Level-spacing distributions and the Airy kernel," (published in 1994 in Communications in Mathematical Physics).
2019 肥田晴三英语Haruzo Hida Galois representations into GL2(Zp[X]) attached to ordinary cusp forms, Inventiones Mathematicae, 1986.
2018 Sergey Fomin英语Sergey Fomin
Andrei Zelevinsky英语Andrei Zelevinsky
Cluster algebras I: Foundations(譯:〈團代數I:基礎〉) , the Journal of the American Mathematical Society, 2002.
2017 Leon Simon英语Leon Simon Asymptotics for a Class of Non-Linear Evolution Equations, with Applications to Geometric Problems, Annals of Mathematics, 1983 .
2016 Andrew Majda英语Andrew Majda
  • The existence of multidimensional shock fronts(譯:《多維激波波面的存在性), Vol 43, Number 281, Memoirs of the AMS, 1983.
  • The stability of multidimensional shock fronts(譯:《多維激波波面的穩定性》), Vol 41, Number 275, Memoirs of the AMS, 1983.
2015 Rostislav Grigorchuk英语Rostislav Grigorchuk Degrees of growth of finitely generated groups and the theory of invariant means (首先以俄語於1984年發表於《Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya》。一年後有英譯版。).
2014 Luis Caffarelli英语Luis Caffarelli
Robert Kohn英语Robert V. Kohn
Louis Nirenberg英语Louis Nirenberg
Partial regularity of suitable weak solutions of the Navier-Stokes equations. Communications Pure and Applied Math, vol 35 no 6, 771-831 (1982).
2013 薩哈讓·謝拉赫 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 威廉·瑟斯頓 低維度拓樸學的貢獻
2011 英格麗·多貝西 Orthonormal bases of compactly supported wavelets (譯:〈緊緻支撐的一些小波的正交基〉) (Communications on Pure and Applied Mathematics, 41 (1988), no. 7, 909-996).
2010 羅伯特‧格里斯英语Robert Griess
  • 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)
  • The friendly giant(譯:〈友善巨人〉 ,現統稱為魔群) (Invent. Math. 69 (1982), no. 1, 1–102).
2009 Richard S. Hamilton英语Richard S. Hamilton Three-manifolds with positive Ricci curvature(譯:〈正里奇曲率張量的3-流形〉) J. Differential Geom. 17 (1982), 255-306.
2008 塞邁雷迪·安德烈 On sets of integers containing no k elements in arithmetic progression(譯:〈關於沒有長度為 的等差數列的整數集〉), Acta Arithmetica XXVII (1975), 199-245.
2007 凱倫·烏倫貝克
  • Removable singularities in Yang-Mills fields(譯:〈楊-米爾斯場裏可移去的奇點〉), Communications in Mathematical Physics, 83 (1982), 11-29
  • Connections with   bounds on curvature, Communications in Mathematical Physics, 83 (1982), 31-42.
2006 Clifford S. Gardner英语Clifford S. Gardner
John M. Greene英语John M. Greene
Martin D. Kruskal英语Martin D. Kruskal
Robert M. Miura英语Robert M. Miura
KortewegdeVries equation and generalizations. VI. Methods for exact solution, Comm. Pure Appl. Math. 27 (1974), 97–133.
2005 羅拔·朗蘭茲 Problems in the theory of automorphic forms(譯:〈自守形式理論上的一些問題〉), (Springer Lecture Notes in Math. 170 (1970), 18-86). (參見朗蘭茲猜想。)
2004 Lawrence C. Evans英语Lawrence C. Evans
Nicolai V. Krylov英语Nicolai V. Krylov
埃文斯-克雷洛夫定理(屬偏微分方程分析學)
2003 Ronald Jensen英语Ronald Jensen
Michael D. Morley英语Michael D. Morley
Ronald Jensen:he fine structure of the constructible hierarchy (Annals of Mathematical Logic 4 (1972) 229–308);
Michael Morley :Categoricity in power (Transactions of the American Mathematical Society 114 (1965) 514–538).
2002 Mark Goresky英语Mark Goresky
Robert MacPherson英语Robert MacPherson (mathematician)
  • Intersection homology theory(譯:〈相交同調論〉), Topology 19 (1980), no. 2, 135–62 (IH1)
  • Intersection homology. II(譯:〈相交同調論II〉), Invent. Math. 72 (1983), no. 1, 77–129 (IH2).
2001 Leslie F. Greengard英语Leslie F. Greengard
Vladimir Rokhlin英语Vladimir Rokhlin, Jr.
A fast algorithm for particle simulations(譯:〈一個可用於粒子模擬的快速演算法〉), J. Comput. Phys. 73, no. 2 (1987), 325-348.
2000 Barry Mazur英语Barry Mazur Modular curves and the Eisenstein ideal(譯:〈模曲線與艾森斯坦理想〉), Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques, no. 47 (1978), 33-186.
1999 Michael G. Crandall英语Michael G. Crandall
  • Viscosity solutions of Hamilton-Jacobi equations(譯:〈哈密頓-雅可比方程式:帶黏度的解〉)(與P.-L. Lions合寫), Trans. Amer. Math. Soc. 277 (1983), 1-42,
  • Generation of semi-groups of nonlinear transformations on general Banach spaces (與T.M. Liggett合寫), Amer. J. Math. 93 (1971), 265-298.
1999 約翰·納什 納什嵌入定理(1966年)
1998 Herbert Wilf英语Herbert Wilf
Doron Zeilberger英语Doron Zeilberger
Rational functions certify combinatorial identities,(譯:〈有理函數可用於驗證組合恆等式〉) Journal of the American Mathematical Society, 3 (1990) 147-158.
1997 米哈伊爾·格羅莫夫 Pseudo-holomorphic curves in symplectic manifolds (譯:〈扭對稱流形上的擬全純曲線〉), Inventiones Math. 82 (1985), 307-347
1996 Daniel Stroock英语Daniel Stroock
斯裡尼瓦瑟·瓦拉德漢
  • Diffusion processes with continuous coefficients I and II(譯:〈帶連續系數I和II的擴散作用〉), Comm. Pure Appl. Math. 22 (1969), 345-400, 479-530.
  • On the support of diffusion processes with applications to the strong maximum principle(〈關於擴散作用的支撐,及在強極大值原理上的應用〉), Sixth Berkeley Sympos. Math. Statist. Probab., vol. III, 1970, pp. 333–360.
  • Diffusion processes with boundary conditions(〈帶邊際條件的擴散作用〉), Comm. Pure Appl. Math. 34 (1971), 147-225; Multidimensional diffusion processes(〈多維度擴散作用〉), Springer-Verlag, 1979.
1995 Edward Nelson英语Edward Nelson
  • A quartic interaction in two dimensions in Mathematical Theory of Elementary Particles, MIT Press, 1966, pages 69–73.
  • Construction of quantum fields from Markoff fields in Journal of Functional Analysis, 12 (1973), 97-112.
1994 Louis de Branges英语Louis de Branges 比貝爾巴赫猜想的證明
1993 George Daniel Mostow英语George Daniel Mostow Strong rigidity of locally symmetric spaces, Annals of Mathematics Studies, number 78, Princeton University Press (1973).

1970至1992年的得獎者编辑

1990至1992年编辑

 
一個實6維的卡拉比-丘流形的2維切面,其中的「卡拉比」是1991年得獎者艾赫尼奧·卡拉比

1980至1989年编辑

 
1983年斯蒂爾獎得主代數幾何學家陳省身

1970至1979年编辑

外部連結编辑