| Name | Institution | Year elected |
| J. Frank Adams (died 1989) |
University of Cambridge |
1985 |
| Ian Agol |
University of California, Berkeley |
2016 |
| Manindra Agrawal |
Indian Institute of Technology - Kanpur |
2015 |
| Lars V. Ahlfors (died 1996) |
Harvard University |
1953 |
| James W. Alexander (died 1971) |
Princeton University |
1930 |
| George Andrews |
The Pennsylvania State University - University Park |
2003 |
| Vladimir I. Arnold (died 2010) |
Russian Academy of Sciences |
1983 |
| James Arthur |
University of Toronto |
2014 |
| Michael Artin |
Massachusetts Institute of Technology |
1977 |
| Michael Aschbacher |
California Institute of Technology |
1990 |
| Richard Askey (died 2019) |
University of Wisconsin-Madison |
1999 |
| Michael Atiyah (died 2019) |
University of Edinburgh |
1978 |
| Artur Ávila |
University of Zurich |
2019 |
| Hyman Bass |
University of Michigan |
1982 |
| Eric Bell (died 1960) |
California Institute of Technology |
1927 |
| Elwyn Berlekamp (died 2019) |
University of California, Berkeley |
1999 |
| Joseph Bernstein |
Tel Aviv University |
2004 |
| Lipman Bers (died 1993) |
Columbia University |
1964 |
| Manjul Bhargava |
Princeton University |
2013 |
| R. H. Bing (died 1986) |
The University of Texas at Austin |
1965 |
| Garrett Birkhoff (died 1996) |
Harvard University |
1968 |
| George Birkhoff (died 1944) |
Harvard University |
1918 |
| Joan S. Birman |
Barnard College |
2021 |
| Jean-Michel Bismut |
Universite Paris-Saclay |
2021 |
| Spencer Bloch |
The University of Chicago |
1994 |
| Maxime Bôcher (died 1918) |
Harvard University |
1909 |
| Salomon Bochner (died 1982) |
Princeton University |
1950 |
| Fedor Bogomolov |
New York University |
2022 |
| Enrico Bombieri |
Institute for Advanced Study |
1996 |
| Richard Borcherds |
University of California, Berkeley |
2014 |
| Armand Borel (died 2003) |
Institute for Advanced Study |
1987 |
| Raoul Bott (died 2005) |
Harvard University |
1964 |
| Jean Bourgain (died 2018) |
Institute for Advanced Study |
2011 |
| Richard Brauer (died 1977) |
Harvard University |
1955 |
| Haim Brezis (died 2024) |
Rutgers, The State University of New Jersey |
2003 |
| Felix Browder (died 2016) |
Rutgers, The State University of New Jersey |
1973 |
| William Browder (died 2025) |
Princeton University |
1980 |
| Robert Bryant |
Duke University |
2007 |
| Donald Burkholder (died 2013) |
University of Illinois Urbana-Champaign |
1992 |
| Luis Caffarelli |
The University of Texas at Austin |
1991 |
| Eugenio Calabi (died 2023) |
University of Pennsylvania |
1982 |
| Alberto Calderón (died 1998) |
The University of Chicago |
1968 |
| Lennart Carleson |
KTH-Royal Institute of Technology |
2006 |
| Henri Cartan (died 2008) |
Universite de Paris |
1972 |
| Sun-Yung Alice Chang |
Princeton University |
2009 |
| Jeff Cheeger |
New York University |
1997 |
| Shiing-Shen Chern (died 2004) |
Nankai University |
1961 |
| Demetrios Christodoulou |
ETH Zurich |
2012 |
| Fan Chung |
University of California, San Diego |
2024 |
| Alonzo Church (died 1995) |
University of California, Los Angeles |
1978 |
| Arthur Coble (died 1966) |
University of Illinois at Urbana-Champaign |
1924 |
| Paul Cohen (died 2007) |
Stanford University |
1967 |
| Alain Connes |
Collège de France |
1997 |
| Peter Constantin |
Princeton University |
2021 |
| Richard Courant (died 1972) |
New York University |
1955 |
| Ennio De Giorgi (died 1996) |
Scuola Normale Superiore di Pisa |
1995 |
| Percy Deift |
New York University |
2009 |
| Pierre Deligne |
Institute for Advanced Study |
2007 |
| Laura DeMarco |
Harvard University |
2020 |
| Persi Diaconis |
Stanford University |
1995 |
| Paul Dirac (died 1984) |
Florida State University |
1949 |
| Simon Donaldson |
Imperial College London |
2000 |
| J. L. Doob (died 2004) |
University of Illinois Urbana-Champaign |
1957 |
| Jesse Douglas (died 1965) |
Massachusetts Institute of Technology |
1946 |
| Vladimir Drinfeld |
The University of Chicago |
2016 |
| Eugene Dynkin (died 2014) |
Cornell University |
1985 |
| Samuel Eilenberg (died 1998) |
Columbia University |
1959 |
| Yakov Eliashberg |
Stanford University |
2003 |
| Noam Elkies |
Harvard University |
2017 |
| Paul Erdős (died 1996) |
Hungarian Academy of Sciences |
1980 |
| Alex Eskin |
The University of Chicago |
2015 |
| Lawrence Craig Evans |
University of California, Berkeley |
2014 |
| L. D. Faddeev (died 2017) |
Russian Academy of Sciences |
1990 |
| Gerd Faltings |
Max Planck Institute for Mathematics |
2018 |
| Herbert Federer (died 2010) |
Brown University |
1975 |
| Charles Fefferman |
Princeton University |
1979 |
| Walter Feit (died 2004) |
Yale University |
1977 |
| William Feller (died 1970) |
Princeton University |
1960 |
| Michael Freedman |
Harvard University |
1984 |
| Igor Frenkel |
Yale University |
2018 |
| Jürg Fröhlich |
ETH Zurich |
2020 |
| William Fulton |
University of Michigan |
1997 |
| Hillel Furstenberg |
The Hebrew University of Jerusalem |
1989 |
| David Gabai |
Princeton University |
2011 |
| Dennis Gaitsgory |
Max Planck Institute for Mathematics |
2020 |
| David Gale (died 2008) |
University of California, Berkeley |
1983 |
| Frederick Gehring (died 2012) |
University of Michigan |
1989 |
| I. M. Gelfand (died 2009) |
Rutgers, The State University of New Jersey |
1970 |
| Andrew Gleason (died 2008) |
Harvard University |
1966 |
| James Glimm |
Stony Brook University, The State University of New York |
1984 |
| Cameron Gordon |
The University of Texas at Austin |
2023 |
| Daniel Gorenstein (died 1992) |
Rutgers, The State University of New Jersey |
1987 |
| Ronald Graham (died 2020) |
University of California, San Diego |
1985 |
| Ulf Grenander (died 2016) |
Brown University |
1996 |
| Robert Griess |
University of Michigan |
2020 |
| Phillip Griffiths |
Institute for Advanced Study |
1979 |
| Mikhail Gromov |
Institut des Hautes Études Scientifiques |
1989 |
| Benedict Gross (died 2025) |
Harvard University |
2004 |
| Victor Guillemin |
Massachusetts Institute of Technology |
1985 |
| Larry Guth |
Massachusetts Institute of Technology |
2021 |
| Christopher Hacon |
University of Utah |
2018 |
| Richard S. Hamilton (died 2024) |
Columbia University |
1999 |
| Harish-Chandra (died 1983) |
Institute for Advanced Study |
1981 |
| Joseph Harris |
Harvard University |
2011 |
| Michael Harris |
Columbia University |
2022 |
| F. Reese Harvey |
Rice University |
2024 |
| F. Hirzebruch (died 2012) |
Max Planck Institute for Mathematics |
1986 |
| Gerhard Hochschild (died 2010) |
University of California, Berkeley |
1979 |
| Melvin Hochster |
University of Michigan |
1992 |
| Helmut Hofer |
Institute for Advanced Study |
2008 |
| Michael J. Hopkins |
Harvard University |
2010 |
| Lars Hörmander (died 2012) |
Lund University |
1976 |
| Roger E. Howe |
Yale University |
1994 |
| Loo-Keng Hua (died 1985) |
Academia Sinica |
1982 |
| Kiyosi Itô (died 2008) |
Kyoto University |
1998 |
| Henryk Iwaniec |
Rutgers, The State University of New Jersey, New Brunswick |
2006 |
| Nathan Jacobson (died 1999) |
Yale University |
1954 |
| Arthur Jaffe |
Harvard University |
2000 |
| Svetlana Jitomirskaya |
University of California, Berkeley |
2022 |
| Peter Jones |
Yale University |
2008 |
| Vaughan Jones (died 2020) |
Vanderbilt University |
1999 |
| Mark Kac (died 1984) |
University of Southern California |
1965 |
| Victor Kac |
Massachusetts Institute of Technology |
2013 |
| Richard V. Kadison (died 2018) |
University of Pennsylvania |
1996 |
| Rudolf Kalman (died 2016) |
ETH Zurich |
1994 |
| Irving Kaplansky (died 2006) |
University of California, Berkeley |
1966 |
| Masaki Kashiwara |
Kyoto University |
2023 |
| Nicholas Katz |
Princeton University |
2004 |
| David Kazhdan |
The Hebrew University of Jerusalem |
1990 |
| Carlos Kenig |
The University of Chicago |
2014 |
| Robion Kirby |
University of California, Berkeley |
2001 |
| Sergiu Klainerman |
Princeton University |
2005 |
| Stephen Kleene (died 1994) |
University of Wisconsin-Madison |
1969 |
| Kunihiko Kodaira (died 1997) |
Gakushuin University |
1975 |
| Joseph Kohn (died 2023) |
Princeton University |
1988 |
| János Kollár |
Princeton University |
2005 |
| A. Kolmogorov (died 1987) |
Moscow State University |
1967 |
| Maxim Kontsevich |
Institut des Hautes Études Scientifiques |
2015 |
| Bertram Kostant (died 2017) |
Massachusetts Institute of Technology |
1978 |
| Bryna Kra |
Northwestern University - Evanston |
2019 |
| Mark G. Krein (died 1989) |
Ukrainian Academy of Sciences |
1981 |
| Martin Kruskal (died 2006) |
Rutgers, The State University of New Jersey |
1980 |
| Jeffrey Lagarias |
University of Michigan |
2024 |
| Serge Lang (died 2005) |
Yale University |
1985 |
| Robert Langlands |
Institute for Advanced Study |
1993 |
| H. Blaine Lawson |
Stony Brook University, The State University of New York |
1995 |
| Peter Lax (died 2025) |
New York University |
1970 |
| Jean Leray (died 1998) |
Collège de France |
1965 |
| Norman Levinson (died 1975) |
Massachusetts Institute of Technology |
1967 |
| Hans Lewy (died 1988) |
University of California, Berkeley |
1964 |
| Elliott Lieb |
Princeton University |
1984 |
| Fanghua Lin |
New York University |
2025 |
| László Lovász |
Alfred Renyi Institute of Mathematics |
2012 |
| Jacob Lurie |
Institute for Advanced Study |
2020 |
| George Lusztig |
Massachusetts Institute of Technology |
1992 |
| Mikhail Lyubich |
Stony Brook University, The State University of New York |
2022 |
| Saunders Mac Lane (died 2005) |
The University of Chicago |
1949 |
| George W. Mackey (died 2006) |
Harvard University |
1962 |
| Robert MacPherson |
Institute for Advanced Study |
1992 |
| Grigory Margulis |
Yale University |
2001 |
| John Mather (died 2017) |
Princeton University |
1988 |
| Barry Mazur |
Harvard University |
1982 |
| Dusa McDuff |
Barnard College |
1999 |
| Henry McKean (died 2024) |
New York University |
1980 |
| Curtis McMullen |
Harvard University |
2007 |
| Edward J. McShane (died 1989) |
University of Virginia |
1948 |
| John Milnor |
Stony Brook University, The State University of New York |
1963 |
| Maryam Mirzakhani (died 2017) |
Stanford University |
2016 |
| Deane Montgomery (died 1992) |
Institute for Advanced Study |
1955 |
| Robert Moore (died 1974) |
University of Texas |
1931 |
| John Morgan |
Columbia University |
2009 |
| Shigefumi Mori |
Kyoto University |
2017 |
| Charles B. Morrey Jr. (died 1984) |
University of California, Berkeley |
1962 |
| Jürgen Moser (died 1999) |
ETH Zurich |
1971 |
| G. D. Mostow (died 2017) |
Yale University |
1974 |
| Tomasz Mrowka |
Massachusetts Institute of Technology |
2015 |
| Francis Murnaghan (died 1976) |
Johns Hopkins University |
1942 |
| Aaron Naber |
Institute for Advanced Study |
2024 |
| John F. Nash Jr. (died 2015) |
Princeton University |
1996 |
| Edward Nelson (died 2014) |
Princeton University |
1997 |
| Louis Nirenberg (died 2020) |
New York University |
1969 |
| Sergei Novikov |
University of Maryland, College Park |
1994 |
| Andrei Okounkov |
Columbia University |
2012 |
| Donald Ornstein |
Stanford University |
1981 |
| William F. Osgood (died 1943) |
Harvard University |
1904 |
| Peter S. Ozsvath |
Princeton University |
2018 |
| Jacob Palis (died 2025) |
Institute for Pure and Applied Mathematics |
2001 |
| Charles Peirce (died 1914) |
Johns Hopkins University |
1877 |
| Benjamin Peirce (died 1880) |
resigned |
1863 |
| Duong H. Phong |
Columbia University |
2024 |
| George Polya (died 1985) |
Stanford University |
1976 |
| Sorin Popa |
University of California, Los Angeles |
2025 |
| Daniel Quillen (died 2011) |
University of Oxford |
1978 |
| Paul Rabinowitz |
University of Wisconsin-Madison |
1998 |
| Marina Ratner (died 2017) |
University of California, Berkeley |
1993 |
| Kenneth Ribet |
University of California, Berkeley |
2000 |
| Herbert Robbins (died 2001) |
Rutgers, The State University of New Jersey |
1974 |
| Abraham Robinson (died 1974) |
Institute for Advanced Study |
1974 |
| Julia Robinson (died 1985) |
University of California, Berkeley |
1976 |
| Gian-Carlo Rota (died 1999) |
Massachusetts Institute of Technology |
1982 |
| Laure Saint-Raymond |
Institut des Hautes Études Scientifiques |
2022 |
| Peter Sarnak |
Princeton University |
2002 |
| Mikio Sato (died 2023) |
Kyoto University |
1993 |
| M. M. Schiffer (died 1997) |
Stanford University |
1970 |
| Wilfried Schmid |
Harvard University |
2020 |
| Richard Schoen |
Stanford University |
1991 |
| Jean-Pierre Serre |
Collège de France |
1979 |
| James Serrin (died 2012) |
University of Minnesota |
1980 |
| Conjeeveram Seshadri (died 2020) |
Chennai Mathematical Institute |
2010 |
| Claude Shannon (died 2001) |
Massachusetts Institute of Technology |
1956 |
| Scott Sheffield |
Massachusetts Institute of Technology |
2025 |
| Barry Simon |
California Institute of Technology |
2019 |
| James H. Simons (died 2024) |
Simons Foundation |
2014 |
| Yakov G. Sinai |
Princeton University |
1999 |
| Isadore Singer (died 2021) |
Massachusetts Institute of Technology |
1968 |
| Yum-Tong Siu |
Harvard University |
2002 |
| Stephen Smale |
University of California, Berkeley |
1970 |
| Karen E. Smith |
University of Michigan |
2019 |
| Paul Smith (died 1980) |
Columbia University |
1941 |
| Robert M. Solovay |
University of California, Berkeley |
1986 |
| D. C. Spencer (died 2001) |
Princeton University |
1961 |
| Thomas C. Spencer |
Institute for Advanced Study |
2010 |
| Gigliola Staffilani |
Massachusetts Institute of Technology |
2021 |
| Richard P. Stanley |
University of Miami |
1995 |
| Harold Stark |
University of California, San Diego |
2007 |
| Charles Stein (died 2016) |
Stanford University |
1975 |
| Elias M. Stein (died 2018) |
Princeton University |
1974 |
| Robert Steinberg (died 2014) |
University of California, Los Angeles |
1985 |
| Shlomo Sternberg (died 2024) |
Harvard University |
1986 |
| Marshall Stone (died 1989) |
University of Massachusetts Amherst |
1938 |
| William Story (died 1930) |
Clark University |
1908 |
| Daniel Stroock (died 2025) |
Massachusetts Institute of Technology |
1995 |
| Dennis Sullivan |
Stony Brook University, The State University of New York |
1983 |
| Richard Swan |
The University of Chicago |
1976 |
| Endre Szemerédi |
Rutgers, The State University of New Jersey, New Brunswick |
2010 |
| Terence Tao |
University of California, Los Angeles |
2008 |
| Alfred Tarski (died 1983) |
University of California, Berkeley |
1965 |
| John Tate (died 2019) |
Harvard University |
1969 |
| Clifford Taubes |
Harvard University |
1996 |
| Richard Taylor |
Stanford University |
2015 |
| Tracy Y. Thomas (died 1983) |
University of California, Los Angeles |
1941 |
| John G. Thompson |
University of Florida |
1971 |
| William Thurston (died 2012) |
Cornell University |
1983 |
| Jacques Tits (died 2021) |
Collège de France |
1992 |
| Karen Uhlenbeck |
The University of Texas at Austin |
1986 |
| Gunther Uhlmann |
University of Washington |
2023 |
| S. M. Ulam (died 1984) |
University of Colorado |
1966 |
| H. S. Vandiver (died 1973) |
The University of Texas at Austin |
1934 |
| Srinivasa Varadhan |
New York University |
1995 |
| Akshay Venkatesh |
Institute for Advanced Study |
2023 |
| Maryna Viazovska |
Ecole Polytechnique Federale de Lausanne |
2025 |
| Marie-France Vignéras |
Universite Paris Cite |
2024 |
| David Vogan, Jr. |
Massachusetts Institute of Technology |
2013 |
| Karen Vogtmann |
University of Warwick |
2022 |
| Dan-Virgil Voiculescu |
University of California, Berkeley |
2006 |
| Claire Voisin |
Institut de Mathematiques de Jussieu-Paris rive gauche |
2016 |
| Joseph Walsh (died 1973) |
Harvard University |
1936 |
| André Weil (died 1998) |
Institute for Advanced Study |
1977 |
| Hermann Weyl (died 1955) |
Institute for Advanced Study |
1940 |
| George W. Whitehead (died 2004) |
Massachusetts Institute of Technology |
1972 |
| Hassler Whitney (died 1989) |
Princeton University |
1945 |
| Gordon Whyburn (died 1969) |
University of Virginia |
1951 |
| Raymond L. Wilder (died 1982) |
University of California, Santa Barbara |
1963 |
| Andrew Wiles |
University of Oxford |
1996 |
| Jacob Wolfowitz (died 1981) |
University of Illinois Urbana-Champaign |
1974 |
| Melanie Matchett Wood |
Harvard University |
2025 |
| William Woodin |
Harvard University |
2023 |
| Horng-Tzer Yau |
Harvard University |
2013 |
| Shing-Tung Yau |
Tsinghua University |
1993 |
| Lai-Sang Young |
New York University |
2020 |
| Don Zagier |
Max Planck Institute for Mathematics |
2017 |
| Oscar Zariski (died 1986) |
Johns Hopkins University |
1944 |
| Efim Zelmanov |
University of California, San Diego |
2001 |
| Antoni Zygmund (died 1992) |
The University of Chicago |
1960 |