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    December 11

    美國科學院院士--- 數學學部

    查論文, 順道見到這份列表.  表中的全都是大牛, 有很多熟悉的名字. 發現, 我看的論文有很多是出自他們的. 難怪這麼難懂. 看看這個, 動力又來了. 好好鞕策自己. 要專心鑽研.  此外, 用紫色來標記, 我曾拜讀他們的文章.
     
    George Andrews
    Pennsylvania State University Mathematics 2003
    partitions, q-Series, combinatorics, number theory

    Vladimir Arnold
    Russian Academy of Sciences Mathematics 1983

    Michael Artin
    Massachusetts Institute of Technology Mathematics 1977
    這位是牛人, fieldist.

    Michael Aschbacher
    California Institute of Technology Mathematics 1990

    Richard Askey
    University of Wisconsin-Madison Mathematics 1999
    orthogonal polynomials, special functions, mathematics education K-12

    Michael Atiyah
    University of Edinburgh Mathematics 1978
    frontier between theoretical physics and geometry
    英國本土最厲害的數學家

    Hyman Bass
    University of Michigan Mathematics 1982
    mathematics (algebra), mathematics education,(teacher content knowledge, curriculum, policy)

    Joseph Bernstein
    Tel Aviv University Mathematics 2004
    representation theory, automorphic xxxxs, algebraic geometry, D-modules
    他就是提出bernstein分解的物題, 對p-adic群的表示論有很大貢獻,他的draft是我的寶貝 

    Spencer Bloch
    The University of Chicago Mathematics 1994

    Enrico Bombieri
    Institute for Advanced Study Mathematics 1996

    Haim Brezis
    Universite Pierre et Marie Curie Mathematics 2003

    Felix Browder
    Rutgers, The State University of New Jersey, New Brunswick Mathematics 1973

    William Browder
    Princeton University Mathematics 1980

    Donald Burkholder
    University of Illinois at Urbana-Champaign Mathematics 1992

    Luis Caffarelli
    The University of Texas at Austin Mathematics 1991

    Eugenio Calabi
    University of Pennsylvania Mathematics 1982
    calabi-yau~!

    Lennart Carleson
    The Royal Institute of Technology Mathematics 2006

    Henri Cartan
    Universite de Paris Mathematics 1972

    Jeff Cheeger
    New York University Mathematics 1997
    differential geometry and its connections to topology and analysis, degenerations of Einstein metrics

    Alain Connes
    Institut des Hautes Etudes Scientifiques Mathematics 1997
    算子代數專家, 非交換几何創始人之一, fieldist. 影响力十足 

    Ingrid Daubechies
    Princeton University Mathematics 1998

    Persi Diaconis
    Stanford University Mathematics 1995

    Simon Donaldson
    University of London Mathematics 2000
    Differential geometry, differential topology, algebraic geometry

    Eugene Dynkin
    Cornell University Mathematics 1985
    probability theory, stochastic processes, applications to mathematical analysis, Lie algebras
    dykin diagram的提出者, 李代數强人

    Yakov Eliashberg
    Stanford University Mathematics 2003
    symplectic geometry and topology, low-dimensional topology singularity theory, several complex variables

    L. D. Faddeev
    Russian Academy of Sciences Mathematics 1990

    Herbert Federer
    Brown University Mathematics 1975
    geometric measure theory

    Charles Fefferman
    Princeton University Mathematics 1979
    這是一個天才.

    Michael Freedman
    Microsoft Corporation Mathematics 1984

    William Fulton
    University of Michigan Mathematics 1997
    algebraic geometry and interactions with representation theory and combinatorics


    Hillel Furstenberg
    The Hebrew University of Jerusalem Mathematics 1989
    Ergodic theory and applications to combinatorics, number theory and fractal geometry

    David Gale
    University of California, Berkeley Mathematics 1983

    F. W. Gehring
    University of Michigan Mathematics 1989
    complex function theory, quasiconxxxxal mappings

    I. M. Gelfand
    Rutgers, The State University of New Jersey, New Brunswick Mathematics 1970

    Andrew Gleason
    Harvard University Mathematics 1966
    Banach spaces, classical geometry

    James Glimm
    State University of New York at Stony Brook Mathematics 1984

    Ronald Graham
    University of California, San Diego Mathematics 1985
    mathematics, theoretical computer science

    Ulf Grenander
    Brown University Mathematics 1996
    pattern theory

    Phillip Griffiths
    Institute for Advanced Study Mathematics 1979
    mathematics, geometry (algebraic and differential), differential equations, science in developing countries

    M. Gromov
    Institut des Hautes Etudes Scientifiques Mathematics 1989

    Benedict Gross
    Harvard University Mathematics 2004
    number theory, representation theory of groups
    哈佛數學系系主任

    Victor Guillemin
    Massachusetts Institute of Technology Mathematics 1985
    symplectic geometry, spectral theory, mathematical physics and the semi-classical theory of differential operators

    Richard Hamilton
    Columbia University Mathematics 1999
    geometric analysis and nonlinear parabolic PDE
    提出ricci flow 的人,  這東西是poincare猜想的工具. yau的老朋友 

    F. Hirzebruch
    Max Planck Institute for Mathematics Mathematics 1986

    Gerhard Hochschild
    University of California, Berkeley Mathematics 1979
    寫了一本代數几何的bible

    Melvin Hochster
    University of Michigan Mathematics 1992
    commutative rings and algebraic geometry, characteristic p methods, Cohen-Macaulay rings and modules, homological methods

    Lars Hormander
    Lund University Mathematics 1976

    Roger Howe
    Yale University Mathematics 1994
    群表示群, 調和分析領頭人 

    Kiyosi Ito
    Kyoto University Mathematics 1998

    Henryk Iwaniec
    Rutgers, The State University of New Jersey, New Brunswick
    Mathematics 2006


    Arthur Jaffe
    Harvard University Mathematics 2000
    mathematics, physics, uantum field theory, non-commutative geometry, analysis

    Vaughan Jones
    University of California, Berkeley Mathematics 1999

    Richard Kadison
    University of Pennsylvania Mathematics 1996
    mathematics

    Rudolf Kalman
    Swiss Federal Institute of Technology Mathematics 1994
    system theory, probability, and uncertainty in the physical world

    Nicholas Katz
    Princeton University Mathematics 2004
    arithmetic algebraic geometry, L-functions, monodromy


    David Kazhdan
    The Hebrew University of Jerusalem Mathematics 1990

    群表示論大牛, 跟lusztig合作寫了很多大文章 

    Robion Kirby
    University of California, Berkeley Mathematics 2001

    Sergiu Klainerman
    Princeton University Mathematics 2005

    Joseph Kohn
    Princeton University Mathematics 1988
    theory of several complex variables, partial differential equations

    Janos Kollar
    Princeton University Mathematics 2005
    algebraic geometry

    Bertram Kostant
    Massachusetts Institute of Technology Mathematics 1978

    Robert Langlands
    Institute for Advanced Study Mathematics 1993提出langlands綱領的人, 世界上最厲害的數學家. 


    H. Blaine Lawson
    State University of New York at Stony Brook Mathematics 1995

    Peter Lax
    New York University Mathematics 1970
    partial differential equations

    Elliott Lieb
    Princeton University Mathematics 1984
    mathematical physics, mathematical analysis

    George Lusztig
    Massachusetts Institute of Technology Mathematics 1992
    theory of group representations

    群表示論的牛, 他的論文實在太吸引 

    Robert MacPherson
    Institute for Advanced Study Mathematics 1992

    Gregory Margulis
    Yale University Mathematics 2001
    Lie groups, dynamical systems, ergodic theory, homogeneous flows with applications to number theory, geometry, combinatorics

    John Mather
    Princeton University Mathematics 1988

    Barry Mazur
    Harvard University Mathematics 1982

    Dusa McDuff
    State University of New York at Stony Brook Mathematics 1999
    symplectic topology and geometry

    Henry McKean
    New York University Mathematics 1980

    John Milnor
    State University of New York at Stony Brook Mathematics 1963

    G. D. Mostow
    Yale University Mathematics 1974

    John Nash
    Princeton University Mathematics 1996

    Edward Nelson
    Princeton University Mathematics 1997
    logic and foundations, probability theory, mathematical physics

    Louis Nirenberg
    New York University Mathematics 1969
    partial differential equations, geometry, complex analysis, applied mathematics

    Sergei Novikov
    University of Maryland, College Park Mathematics 1994

    Donald Ornstein
    Stanford University Mathematics 1981

    Jacob Palis
    Institute of Pure and Applied Mathematics Mathematics 2001
    typical chaotic dynamics, finiteness of attractors, stochastic stability, bifurcations of Poincare cycles

    Daniel Quillen
    University of Oxford Mathematics 1978

    代數k論的始創者, 英國頂尖數學家, fieldist, 現在oxford养老, 曾見他一面.   

    Paul Rabinowitz
    University of Wisconsin-Madison Mathematics 1998
    calculus of variations, partial differential equations, dynamical systems

    Marina Ratner
    University of California, Berkeley Mathematics 1993

    Kenneth Ribet
    University of California, Berkeley Mathematics 2000
    number theory, arithmetical algebraic geometry

    Peter Sarnak
    Princeton University Mathematics 2002

    Mikio Sato
    Kyoto University Mathematics 1993

    Richard Schoen
    Stanford University Mathematics 1991
    mathematics, differential geometry, general relativity

    Jean-Pierre Serre
    College de France Mathematics 1979

    寫書無數的法國數學家

    James Serrin
    University of Minnesota, Minneapolis Mathematics 1980

    Iakov Sinai
    Princeton University Mathematics 1999
    dynamical systems and chaos theory, mathematical physics and probability theory

    I. M. Singer
    Massachusetts Institute of Technology Mathematics 1968

    Yum-Tong Siu
    Harvard University Mathematics 2002

    蕭荫堂, 台灣數學家.  

    Stephen Smale
    Toyota Technological Institute at Chicago Mathematics 1970
    learning theory

    Robert Solovay
    University of California, Berkeley Mathematics 1986

    Richard Stanley
    Massachusetts Institute of Technology Mathematics 1995
    combinatorics, algebra

    Charles Stein
    Stanford University Mathematics 1975

    Elias Stein
    Princeton University Mathematics 1974

    Robert Steinberg
    University of California, Los Angeles Mathematics 1985
    theory of Lie groups, algebraic groups and finite groups and their relations to other branches of mathematics

    Shlomo Sternberg
    Harvard University Mathematics 1986

    Daniel Stroock
    Massachusetts Institute of Technology Mathematics 1995
    the application of probability theory to analysis, partial differential equations, and differential geometry


    Dennis Sullivan
    City University of New York, Graduate Center Mathematics 1983

    Richard Swan
    The University of Chicago Mathematics 1976
    Algebraic K-Theory, homological algebra, projective modules

    John Tate
    The University of Texas at Austin Mathematics 1969

    他的那篇數論論文, 我懷疑每個做數論的都會看一看. 

    Clifford Taubes
    Harvard University Mathematics 1996

    J. G. Thompson
    University of Florida Mathematics 1971

    William Thurston
    Cornell University Mathematics 1983

    Jacques Tits
    College de France Mathematics 1992
    mathematics, group theory, algebraic groups, geometry, theory of buildings


    Karen Uhlenbeck
    The University of Texas at Austin Mathematics 1986

    Srinivasa Varadhan
    New York University Mathematics 1995
    probability and stochastic processes, partial differential equations

    Dan-Virgil Voiculescu
    University of California, Berkeley Mathematics 2006

    Andrew Wiles
    Princeton University Mathematics 1996

    費尔馬大定理的終結者, fields的特別獎.

    S-T. Yau
    Harvard University Mathematics 1993

    不用多說的, 中國在世最厉害的數學家.(我認為) 

    Efim Zelmanov
    University of California, San Diego Mathematics 2001