| Name | Institution | Year elected |
| Ian Agol | University of California, Berkeley | 2016 |
| Maryam Mirzakhani | Stanford University | 2016 |
| George Andrews | Pennsylvania State University | 2003 |
| Julia Robinson | University of California, Berkeley | 1976 |
| James Arthur | University of Toronto | 2014 |
| Michael Artin | Massachusetts Institute of Technology | 1977 |
| Michael Aschbacher | California Institute of Technology | 1990 |
| Richard Askey | University of Wisconsin–Madison | 1999 |
| Michael Atiyah | University of Edinburgh | 1978 |
| Hyman Bass | University of Michigan | 1982 |
| Elwyn Berlekamp | Elwyn Berlekamp, Inc. | 1999 |
| Joseph Bernstein | Tel Aviv University | 2004 |
| Manjul Bhargava | Princeton University | 2013 |
| Spencer Bloch | University of Chicago | 1994 |
| Enrico Bombieri | Institute for Advanced Study | 1996 |
| Richard Borcherds | University of California, Berkeley | 2014 |
| Haim Brezis | Rutgers University | 2003 |
| Felix Browder | Rutgers University | 1973 |
| William Browder | Princeton University | 1980 |
| Robert Bryant | Mathematical Sciences Research Institute | 2007 |
| Donald Burkholder | University of Illinois at Urbana–Champaign | 1992 |
| Luis Caffarelli | University of Texas at Austin | 1991 |
| Eugenio Calabi | University of Pennsylvania | 1982 |
| Lennart Carleson | Royal Institute of Technology | 2006 |
| Sun-Yung Alice Chang | Princeton University | 2009 |
| Jeff Cheeger | New York University | 1997 |
| Alain Connes | Institut des Hautes Études Scientifiques | 1997 |
| Constantine Dafermos | Brown University | 2016 |
| Ingrid Daubechies | Duke University | 1998 |
| Percy Deift | New York University | 2009 |
| Pierre Deligne | Institute for Advanced Study | 2007 |
| Persi Diaconis | Stanford University | 1995 |
| Simon Donaldson | University of London | 2000 |
| Vladimir Drinfeld | University of Chicago | 2016 |
| Eugene Dynkin | Cornell University | 1985 |
| Yakov Eliashberg | Stanford University | 2003 |
| Alex Eskin | University of Chicago | 2015 |
| Lawrence Craig Evans | University of California, Berkeley | 2014 |
| L. D. Faddeev | Russian Academy of Sciences | 1990 |
| Charles Fefferman | Princeton University | 1979 |
| Michael Freedman | Microsoft Corporation | 1984 |
| William Fulton | University of Michigan | 1997 |
| Hillel Furstenberg | Hebrew University of Jerusalem | 1989 |
| Frederick Gehring | University of Michigan | 1989 |
| James Glimm | State University of New York at Stony Brook | 1984 |
| Ronald Graham | University of California, San Diego | 1985 |
| Ulf Grenander | Brown University | 1996 |
| Phillip Griffiths | Institute for Advanced Study | 1979 |
| Mikhail Gromov | Institut des Hautes Études Scientifiques | 1989 |
| Benedict Gross | Harvard University | 2004 |
| Victor Guillemin | Massachusetts Institute of Technology | 1985 |
| Richard S. Hamilton | Columbia University | 1999 |
| Melvin Hochster | University of Michigan | 1992 |
| Helmut Hofer | Institute for Advanced Study | 2008 |
| Michael J. Hopkins | Harvard University | 2010 |
| Roger E. Howe | Yale University | 1994 |
| Henryk Iwaniec | Rutgers University | 2006 |
| Arthur Jaffe | Harvard University | 2000 |
| Peter Jones | Yale University | 2008 |
| Vaughan Jones | University of California, Berkeley | 1999 |
| Victor Kac | Massachusetts Institute of Technology | 2013 |
| Richard V. Kadison | University of Pennsylvania | 1996 |
| Nicholas Katz | Princeton University | 2004 |
| David Kazhdan | Hebrew University of Jerusalem | 1990 |
| Robion Kirby | University of California, Berkeley | 2001 |
| Sergiu Klainerman | Princeton University | 2005 |
| Daniel Kleitman | Massachusetts Institute of Technology | 2024 |
| Joseph Kohn | Princeton University | 1988 |
| János Kollár | Princeton University | 2005 |
| Maxim Kontsevich | Institut des Hautes Etudes Scientifiques | 2015 |
| Bertram Kostant | Massachusetts Institute of Technology | 1978 |
| Jeffrey Lagarias | University of Michigan | 2024 |
| Robert Langlands | Institute for Advanced Study | 1993 |
| H. Blaine Lawson | State University of New York at Stony Brook | 1995 |
| Peter Lax | New York University | 1970 |
| Elliott Lieb | Princeton University | 1984 |
| Thomas Liggett | University of California, Los Angeles | 2008 |
| George Lusztig | Massachusetts Institute of Technology | 1992 |
| Robert MacPherson | Institute for Advanced Study | 1992 |
| Grigory Margulis | Yale University | 2001 |
| John Mather | Princeton University | 1988 |
| Barry Mazur | Harvard University | 1982 |
| Dusa McDuff | Barnard College | 1999 |
| Henry McKean | New York University | 1980 |
| Curtis McMullen | Harvard University | 2007 |
| John Milnor | State University of New York at Stony Brook | 1963 |
| John Morgan | State University of New York at Stony Brook | 2009 |
| George Mostow | Yale University | 1974 |
| Tomasz Mrowka | Massachusetts Institute of Technology | 2015 |
| Edward Nelson | Princeton University | 1997 |
| Louis Nirenberg | New York University | 1969 |
| Sergei Novikov | University of Maryland, College Park | 1994 |
| Donald Ornstein | Stanford University | 1981 |
| Jacob Palis | Instituto Nacional de Matemática Pura e Aplicada | 2001 |
| Paul Rabinowitz | University of Wisconsin–Madison | 1998 |
| Kenneth Ribet | University of California, Berkeley | 2000 |
| Peter Sarnak | Princeton University | 2002 |
| Mikio Sato | Kyoto University | 1993 |
| Richard Schoen | UC Irvine | 1991 |
| Jean-Pierre Serre | Collège de France | 1979 |
| James Serrin | University of Minnesota, Minneapolis | 1980 |
| Conjeeveram Seshadri | Chennai Mathematical Institute | 2010 |
| Barry Simon | California Institute of Technology | 2019 |
| Yakov G. Sinai | Princeton University | 1999 |
| Isadore Singer | Massachusetts Institute of Technology | 1968 |
| Yum-Tong Siu | Harvard University | 2002 |
| Stephen Smale | City University of Hong Kong | 1970 |
| Robert M. Solovay | University of California, Berkeley | 1986 |
| Thomas C. Spencer | Institute for Advanced Study | 2010 |
| Richard P. Stanley | Massachusetts Institute of Technology | 1995 |
| Harold Stark | University of California, San Diego | 2007 |
| Charles Stein | Stanford University | 1975 |
| Elias M. Stein | Princeton University | 1974 |
| Robert Steinberg | University of California, Los Angeles | 1985 |
| Shlomo Sternberg | Harvard University | 1986 |
| Daniel Stroock | Massachusetts Institute of Technology | 1995 |
| Dennis Sullivan | Graduate Center of the City University of New York | 1983 |
| Richard Swan | University of Chicago | 1976 |
| Endre Szemerédi | Rutgers University | 2010 |
| Terence Tao | University of California, Los Angeles | 2008 |
| John Tate | Harvard University | 1969 |
| Clifford Taubes | Harvard University | 1996 |
| Richard Taylor | Institute for Advanced Study | 2015 |
| John G. Thompson | University of Florida | 1971 |
| Jacques Tits | Collège de France | 1992 |
| Karen Uhlenbeck | University of Texas at Austin | 1986 |
| Srinivasa Varadhan | New York University | 1995 |
| David Vogan, Jr. | Massachusetts Institute of Technology | 2013 |
| Dan-Virgil Voiculescu | University of California, Berkeley | 2006 |
| Andrew Wiles | Princeton University | 1996 |
| Shing-Tung Yau | Harvard University | 1993 |
| Efim Zelmanov | University of California, San Diego | 2001 |