2022
    William Bernhard
    Stony Brook College of Engineering and Applied Sciences Teaching Award
    Samuel Grushevsky
    Fellow of the American Mathematical Society
    Mikhail Lyubich
    Member of the National Academy of Sciences
    Mark McLean
    ICM Invited Lecture
    Dennis Sullivan
    Abel Prize

2021
    Christian Schnell
    Simons Fellowship

2020
    Mark Andrea De Cataldo
    Simons Fellow in Mathematics
    Simon Donaldson
    Wolf Prize in Mathematics
    Theodore Drivas
    NSF Postdoctoral Fellow
    Robert Hough
    Sloan Research Fellowship
    Robert Hough
    Stony Brook Trustees Faculty Award
    Marcus Khuri
    Simons Fellow in Mathematics
    John Milnor
    Lomonosov Gold Medal of the Russian Academy of Sciences
    Aleksey Zinger
    Simons Fellow in Mathematics

2019
    Christopher Bishop
    Fellow of the American Mathematical Society
    Christopher Bishop
    Simons Fellow in Mathematics
    Mark Andrea De Cataldo
    Fellow of the American Mathematical Society
    Simon Donaldson
    Veblen Prize in Geometry
    Theodore Drivas
    NSF Postdoctoral Fellow
    Mikhail Lyubich
    Member of the American Academy of Arts and Sciences

2018
    Christopher Bishop
    ICM Invited Lecture
    Theodore Drivas
    NSF Postdoctoral Fellow
    Claude LeBrun
    Simons Fellow in Mathematics
    Dusa McDuff (Emeritus)
    Sylvester Medal
    Olga Plamenevskaya
    Simons Fellow in Mathematics

2017
    Moira Chas
    College of Arts and Sciences Teaching Excellence Award
    Mark Andrea De Cataldo
    Oberwolfach Leibnitz Fellow
    Mark Andrea De Cataldo
    Marie S. Curie FCFP Fellow
    Theodore Drivas
    NSF Postdoctoral Fellow
    Robert Hough
    MAA David P. Robbins Prize
    Dusa McDuff (Emeritus)
    AMS Steele Prize for Exposition
    Jason Starr
    Fellow of the American Mathematical Society

2016
    David Kahn
    College of Arts and Sciences Teaching Excellence Award
    Radu Laza
    Simons Fellow in Mathematics
    Radu Laza
    Foundation Sciences Mathématiques de Paris Junior Chair
    Christian Schnell
    NSF CAREER Award

2016/17
    William Bernhard
    SUNY Chancellor's Award for Excellence in Adjunct Teaching

2015
    Samuel Grushevsky
     F.W. Bessel Research Award from the Alexander von Humboldt foundation
    Samuel Grushevsky
    Simons Fellow in Mathematics
    Radu Laza
    IAS von Neumann Fellow
    Robert Lazarsfeld
    AMS Steele Prize for Mathematical Exposition
    Christian Schnell
    AMS Centennial Fellowship

2014
    Mark Andrea De Cataldo
    Simons Fellow in Mathematics
    Simon Donaldson
    Breakthrough Prize in Mathematics
    Radu Laza
    IAS von Neumann Fellow
    Mikhail Lyubich
    Plenary Lecture at International Congress of Mathematics ICM-14, Seoul
    John Milnor
    Invited Abel Lecture at ICM
    Dennis Sullivan
    Balzan Prize
    Scott Sutherland
    National Academies Education Fellow

2013
    H. Blaine Lawson, Jr.
    Member of the American Academy of Arts and Sciences
    Radu Laza
    NSF CAREER Award
    Jason Starr
    Simons Fellow in Mathematics

2012
    Michael Anderson (Emeritus)
    Fellow of the American Mathematical Society
    David Ebin (Emeritus)
    Fellow of the American Mathematical Society
    Kenji Fukaya
    Fujiwara Prize
    James Glimm
    Fellow of the American Mathematical Society
    Anthony Knapp (Emeritus)
    Fellow of the American Mathematical Society
    Irwin Kra (Emeritus)
    Fellow of the American Mathematical Society
    H. Blaine Lawson, Jr.
    Fellow of the American Mathematical Society
    Robert Lazarsfeld
    Fellow of the American Mathematical Society
    Claude LeBrun
    Fellow of the American Mathematical Society
    Mikhail Lyubich
    Fellow of the American Mathematical Society
    Bernard Maskit (Emeritus)
    Fellow of the American Mathematical Society
    Dusa McDuff (Emeritus)
    Fellow of the American Mathematical Society
    John Morgan (Emeritus)
    Fellow of the American Mathematical Society
    Dennis Sullivan
    Fellow of the American Mathematical Society
    Leon Takhtajan
    Fellow of the American Mathematical Society
    Oleg Viro
    Fellow of the American Mathematical Society
    Aleksey Zinger
    IAS von Neumann Fellow

2011
    Mark Andrea De Cataldo
    Gehring Visiting Professor of Mathematics, University of Michigan, Ann Arbor
    John Milnor
    Steele Prize for Lifetime Achievement
    John Milnor
    Abel Prize
    Aleksey Zinger
    IAS von Neumann Fellow

2010
    Kenji Fukaya
    Asahi Prize
    Marcus Khuri
    A. P. Sloan Fellow
    Radu Laza
    A. P. Sloan Foundation Fellow
    Mikhail Lyubich
    Jeffery-Williams Prize of the Canadian Mathematical Society
    John Morgan (Emeritus)
    National Academy of Sciences
    Raanan Schul
    A. P. Sloan Foundation Fellow
    Dennis Sullivan
    Wolf Prize in Mathematics

2009
    Simon Donaldson
    Shaw Prize in Mathematics
    Kenji Fukaya
    Member of Japan Academy
    Marcus Khuri
    A. P. Sloan Fellow
    Mikhail Lyubich
    Jeffery-Williams Prize, Canadian Mathematical Society
    Jason Starr
    NSF CAREER Award
    Aleksey Zinger
    NSF CAREER Award

2008
    Simon Donaldson
    Nemmers Prize in Mathematics
    Marcus Khuri
    A. P. Sloan Fellow
    Robert Lazarsfeld
    Clay Senior Scholar
    Scott Sutherland
    Student life award

2006
    Simon Donaldson
    King Faisal International Prize
    Marcus Khuri
    NSF Posdoctoral Fellow
    Robert Lazarsfeld
    Elected to American Academy of Arts and Sciences
    Dennis Sullivan
    Steele Prize for Lifetime Achievement
    Aleksey Zinger
    A. P. Sloan Foundation Fellow

2005
    Marcus Khuri
    NSF Posdoctoral Fellow
    Robert Lazarsfeld
    AMS Colloquium Lecturer
    Raanan Schul
    NSF Postdoctoral Fellow
    Jason Starr
    A. P. Sloan Foundation Research Fellow
    Scott Sutherland
    Chancellor's award in faculty service
    Aleksey Zinger
    NSF Posdoctoral Fellow

2004
    Marcus Khuri
    NSF Posdoctoral Fellow
    Mikhail Lyubich
    Guggenheim Fellowship
    John Milnor
    Steele Prize for Mathematical Exposition
    Dennis Sullivan
    National Medal of Science
    Aleksey Zinger
    NSF Posdoctoral Fellow

2003
    Kenji Fukaya
    Japan Academy Prize
    Marcus Khuri
    NSF Posdoctoral Fellow
    Mikhail Lyubich
    Guggenheim Fellowship
    Aleksey Zinger
    NSF Posdoctoral Fellow

2002
    Kenji Fukaya
    Inoue Prize
    Mikhail Lyubich
    Guggenheim Fellowship
    Aleksey Zinger
    NSF Posdoctoral Fellow

2000
    Dennis Sullivan
    Honorary Degree, Ecole Normale de Lyons
    Oleg Viro
    Invited Address, European Congress of Mathematics, Barcelona

1999
    Mark Andrea De Cataldo
    CNR Fellowship
    H. Blaine Lawson, Jr.
    Brazilian Academy of Sciences
    Robert Lazarsfeld
    Guggenheim Fellow
    Dusa McDuff (Emeritus)
    National Academy of Sciences

1998
    Mark Andrea De Cataldo
    CNR Fellowship
    Mark Andrea De Cataldo
    AMS Centennial Fellowship
    Robert Lazarsfeld
    Guggenheim Fellow

1997
    Anthony Knapp (Emeritus)
    Leroy P. Steele Prize for Mathematical Exposition, American Mathematical Society
    H. Blaine Lawson, Jr.
    Vice President A.M.S.

1996
    Anthony Knapp (Emeritus)
    Professional and Scholarly Publishing Award "Mathematics 1995", Association of American Publishers

1995
    H. Blaine Lawson, Jr.
    National Academy of Sciences
    Dusa McDuff (Emeritus)
    Member, American Academy of Arts & Sciences

1994
    Michael Anderson (Emeritus)
    Invited Address, International Congress of Mathematicians
    Mark Andrea De Cataldo
    CNR Fellowship
    Mark Andrea De Cataldo
    CNR Fellowship prize
    Simon Donaldson
    Crafoord Prize
    Kenji Fukaya
    Math. Soc. Japan, Spring Prize
    H. Blaine Lawson, Jr.
    Invited Address, International Congress of Mathematicians
    Claude LeBrun
    Invited Address, International Congress of Mathematicians
    Mikhail Lyubich
    Plenary Lecture at International Congress of Mathematics ICM-94, Zurich
    Dusa McDuff (Emeritus)
    Fellow, Royal Society
    Dennis Sullivan
    King Faisal International Prize of Science

1993
    Mark Andrea De Cataldo
    CNR Fellowship
    James Glimm
    Steele Prize for a paper of fundamental importance, American Mathematical Society
    Mikhail Lyubich
    A. P. Sloan Foundation Fellow
    Leon Takhtajan
    Plenary Address, Annual Meeting of American Mathematical Society

1992
    Mark Andrea De Cataldo
    CNR Fellowship
    Mikhail Lyubich
    A. P. Sloan Foundation Fellow

1992
    Christopher Bishop
    A. P. Sloan Foundation Fellow

1991
    Mark Andrea De Cataldo
    CNR Fellowship
    Mikhail Lyubich
    A. P. Sloan Foundation Fellow
    Dusa McDuff (Emeritus)
    Satter Prize, American Mathematical Society
    Dusa McDuff (Emeritus)
    UUP excellence award

1990
    Michael Anderson (Emeritus)
    AMS Centennial Research Fellow
    Mark Andrea De Cataldo
    CNR Fellowship
    Robert Lazarsfeld
    Plenary Lecture at International Congress of Mathematics ICM-90, Kyoto

1989
    Kenji Fukaya
    Geometry Prize
    Irwin Kra (Emeritus)
    Lady Davis Visiting Professor, Hebrew University
    John Milnor
    Wolf Prize in Mathematics

1988
    Dennis Sullivan
    American Academy of Arts and Sciences
    Dennis Sullivan
    Honorary Degree, Rice University

1987
    Christopher Bishop
    NSF postdoc
    Irwin Kra (Emeritus)
    Advisory Professor, Fudan University
    Robert Lazarsfeld
    Sloan Fellow
    Leon Takhtajan
    Annual Prize, Mathematics Section of Academy of Sciences USSR

1986
    Michael Anderson (Emeritus)
    NSF Postdoctoral Fellow
    Simon Donaldson
    Fields Medal
    Robert Lazarsfeld
    Sloan Fellow

1985
    Michael Anderson (Emeritus)
    NSF Postdoctoral Fellow
    Simon Donaldson
    Junior Whitehead Prize
    Irwin Kra (Emeritus)
    Fellow of the Japan Society for the Promotion of Science
    Robert Lazarsfeld
    Sloan Fellow

1984
    Michael Anderson (Emeritus)
    NSF Postdoctoral Fellow
    James Glimm
    National Academy of Sciences
    Robert Lazarsfeld
    Sloan Fellow
    Dennis Sullivan
    Brazilian Academy of Sciences (Gold Medal, 1996)
    Leon Takhtajan
    Best Paper, Mathematics Section of Academy of Sciences USSR

1983
    Anthony Knapp (Emeritus)
    John Simon Guggenheim Memorial Fellowship
    Dennis Sullivan
    National Academy of Sciences
    Leon Takhtajan
    Invited Address, International Congress of Mathematicians
    Oleg Viro
    Invited Address, International Congress of Mathematicians, Warsaw

1982
    Christopher Bishop
    Churchill Scholar
    Anthony Knapp (Emeritus)
    John Simon Guggenheim Memorial Fellowship
    Robert Lazarsfeld
    AMS Postdoctoral Fellow
    John Milnor
    Steele Prize for Seminal Contribution to Research, American Mathematical Society
    Dennis Sullivan
    Honorary Degree, University of Warwick

1981
    Robert Lazarsfeld
    AMS Postdoctoral Fellow
    Dennis Sullivan
    Elie Cartan Prize, French Academy of Sciences

1980
    James Glimm
    Dannie Heineman prize for Mathematical Physics

1979
    James Glimm
    New York Academy of Science Award in the Physical and Mathematical Sciences
    C. Denson Hill (Emeritus)
    National Research Council of Italy Fellowship

1976
    C. Denson Hill (Emeritus)
    A. P. Sloan Fellowship
    James Simons
    Oswald Veblen Prize in Geometry

1975
    C. Denson Hill (Emeritus)
    A. P. Sloan Fellowship

1974
    C. Denson Hill (Emeritus)
    A. P. Sloan Fellowship
    Anthony Knapp (Emeritus)
    Invited address, International Congress of Mathematicians, Vancouver
    H. Blaine Lawson, Jr.
    Invited Address, International Congress of Mathematicians

1973
    C. Denson Hill (Emeritus)
    A. P. Sloan Fellowship
    H. Blaine Lawson, Jr.
    A. P. Sloan Foundation Fellow
    H. Blaine Lawson, Jr.
    Leroy P. Steele Prize of the American Mathematical Society

1972
    C. Denson Hill (Emeritus)
    A. P. Sloan Fellowship
    Irwin Kra (Emeritus)
    Guggenheim Fellowship
    H. Blaine Lawson, Jr.
    A. P. Sloan Foundation Fellow
    Bernard Maskit (Emeritus)
    Invited Address, International Congress of Mathematicians

1971
    H. Blaine Lawson, Jr.
    A. P. Sloan Foundation Fellow
    Bernard Maskit (Emeritus)
    A. P. Sloan Foundation Fellow
    Dennis Sullivan
    Oswald Veblen Prize in Geometry

1970
    David Ebin (Emeritus)
    Invited Address, International Congress of Mathematicians
    C. Denson Hill (Emeritus)
    NATO Fellow
    H. Blaine Lawson, Jr.
    A. P. Sloan Foundation Fellow
    Bernard Maskit (Emeritus)
    A. P. Sloan Foundation Fellow

1969
    Bernard Maskit (Emeritus)
    A. P. Sloan Foundation Fellow

1968
    David Ebin (Emeritus)
    NSF Postdoctoral Fellow

1967
    David Ebin (Emeritus)
    NSF Postdoctoral Fellow
    John Milnor
    Hon. D. Sci, University of Chicago

1966
    John Milnor
    National Medal of Science

1965
    John Milnor
    Hon. D. Sci, Syracuse University

1963
    John Milnor
    National Academy of Sciences

1962
    John Milnor
    Fields Medal, International Mathematical Union, Stockholm

1950
    John Milnor
    Putnam Fellow

1949
    John Milnor
    Putnam Fellow