| Name | Time | PhD | Current affiliation |
| Adams, Jeffrey | 1983–1985 | Yale University, 1981 | University of Maryland |
| Anderson, Greg | 1984–1986 | Princeton University, 1980 | University of Minnesota |
| Bakalov, Bojko | 2000–2003 | Massachusetts Institute of Technology, 2000 | North Carolina State University |
| Bourlioux, Anne | 1991–1993 | Princeton University, 1990 | Université de Montréal |
| Browder, Andrew | 1963–1965 | Massachusetts Institute of Technology, 1961 | Brown University |
| Brumfiel, Gregory | 1968–1970 | Massachusetts Institute of Technology, 1967 | Stanford University |
| Buzzard, Kevin | 1995–1997 | University of Cambridge, 1995 | Imperial College London |
| Chen, Szu-Yu Sophie | 2006–2008 | Princeton University, 2006 | Institute for Advanced Study |
| Cole, Brian | 1972–1974 | Yale University, 1968 | Brown University |
| Crainic, Marius | 2001–2002 | Utrecht University, 2000 | Utrecht University |
| D'Andrea, Carlos | 2002–2005 | University of Buenos Aires, 2001 | University of Barcelona |
| Dolgopyat, Dmitry | 1997–1999 | Princeton University, 1997 | University of Maryland |
| Douglas, Christopher | 2007–2010 | Massachusetts Institute of Technology, 2005 | University of Oxford |
| Dumitriu, Ioana | 2003–2006 | Massachusetts Institute of Technology, 2003 | University of Washington |
| Enflo, Per | 1971–1973 | Stockholm University, 1970 | Kent State University |
| Engström, Alexander | 2009–2012 | Royal Institute of Technology, 2009 | Aalto University, Finland |
| Fattal, Raanan | 2005–2008 | Hebrew University of Jerusalem, 2005 | Hebrew University of Jerusalem |
| Fujita, Takao | 1979–1981 | | Tokyo Institute of Technology |
| Goldfeld, Morris Dorian | 1969–1971 | Columbia University, 1969 | Columbia University |
| Griffiths, Phillip | 1962–1964 | Princeton University, 1962 | Institute for Advanced Study |
| Gromoll, Detlef* | 1966–1968 | University of Bonn, 1962 | Stony Brook University |
| Hamenstädt, Ursula | 1986–1988 | University of Bonn, 1986 | University of Bonn |
| Harrison, Jenny | 1977–1979 | University of Warwick, 1975 | University of California, Berkeley |
| Hausel, Tamas | 1999–2002 | University of Cambridge, 1998 | University of Oxford |
| Heluani, Reimundo | 2006–2009 | Massachusetts Institute of Technology, 2006 | IMPA |
| Izumi, Masaki | 1994–1996 | | Kyoto University |
| Johansson, August | 2010–2013 | Umeå University, 2010 | University of California, Berkeley |
| Kallman, Robert | 1970–1972 | Massachusetts Institute of Technology, 1969 | University of North Texas |
| Kamber, Franz | 1965–1967 | University of Zurich, 1965 | University of Illinois at Urbana–Champaign |
| Kapouleas, Nicolaos | 1988–1991 | UC Berkeley, 1988 | Brown University |
| Kawahigashi, Yasuyuki | 1991–1992 | University of California, Los Angeles, 1989 | University of Tokyo |
| Kawai, Takahiro | 1974–1976 | | Kyoto University |
| Kawamata, Yujiro | 1981–1983 | University of Tokyo, 1980 | University of Tokyo |
| Ketonen, Jussi | 1972–1974 | University of Wisconsin–Madison, 1971 | Stanford University |
| Klainerman, Sergiu | 1978–1980 | New York University, 1978 | Princeton University |
| Lackenby, Marc | 1997–1998 | University of Cambridge, 1997 | University of Oxford |
| Langlands, Robert | 1964–1965 | Yale University, 1960 | Institute for Advanced Study |
| Lind, Douglas | 1973–1975 | Stanford University, 1973 | University of Washington |
| Lucks, Julius | 2007–2010 | Harvard University, 2007 | Cornell University |
| Mantovan, Elena | 2002–2005 | Harvard University, 2002 | Caltech |
| Matsen, Frederick | 2007–2010 | Harvard University, 2005 | Fred Hutchinson Cancer Research Center |
| Meier, Michael | 1982–1984 | University of Bonn, 1978 | |
| Merel, Loïc | 1995–1997 | Paris VI University, 1993 | Paris Diderot University |
| Morrison, Scott | 2009–2012 | University of California, Berkeley, 2007 | University of California, Berkeley |
| Mossel, Elchanan | 2002–2003 | Hebrew University, 2000 | Massachusetts Institute of Technology |
| Nekovar, Jan | 1991–1993 | Academy of Sciences of the Czech Republic, 1991 | Paris VI University |
| Ocneanu, Adrian | 1983–1985 | University of Warwick, 1983 | Pennsylvania State University |
| Paneitz, Stephen* | 1980–1982 | Massachusetts Institute of Technology, 1980 | |
| Perelman, Grigori | 1993–1995 | Saint Petersburg State University, 1990 | |
| Postnikov, Alexander | 1999–2001 | Massachusetts Institute of Technology, 1997 | Massachusetts Institute of Technology |
| Radulescu, Florin | 1992–1994 | University of California, Los Angeles, 1991 | University of Iowa |
| Roper, Marcus | 2008–2011 | Harvard University, 2007 | University of California, Los Angeles |
| Rosso, Marc | 1990–1992 | Paris VII, 1990 | École Normale Supérieure |
| Rudolph, Daniel* | 1976–1978 | Stanford University, 1975 | University of Maryland |
| Saito, Shuji | 1986–1988 | University of Tokyo, 1986 | University of Tokyo |
| Sanyal, Raman | 2008–2011 | Technische Universität Berlin, 2008 | Freie Universitat Berlin |
| Savin, Ovidiu | 2003–2006 | University of Texas at Austin, 2003 | Columbia University |
| Scott, Dana | 1960–1962 | Princeton University, 1958 | Carnegie Mellon University |
| Shearer, James | 1981–1983 | Massachusetts Institute of Technology, 1980 | IBM Research |
| Stanley, Richard | 1971–1973 | Harvard University, 1971 | Massachusetts Institute of Technology |
| Sullivan, Dennis | 1967–1968 | Princeton University, 1966 | City University of New York |
| Teichner, Peter | 1996–1997 | University of Mainz, 1992 | University of California, Berkeley |
| Todorcevic, Stevo | 1983–1985 | University of Belgrade, 1979 | University of Toronto |
| Tsunoda, Shuichiro | 1985–1987 | Osaka University, 1985 | Nara Women's University |
| Vojta, Paul | 1987–1989 | Harvard University, 1983 | University of California, Berkeley |
| Wassermann, Antony | 1986–1988 | University of Pennsylvania, 1981 | University of Cambridge |