Scholarship and Biography

Many of the deepest mysteries in topology concern spaces of dimension 3 and 4, which are just at the edge of our ability to visualize. My work uses tools of differential geometry and analysis, some of it inspired by physics, to study these spaces.

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Honors

Rice Prize in Mathematics
Wesleyan University (United States, Middletown), 1977
Fellowship
National Science Foundation (United States, Arlington) - NSF, 1988-1990
Fellowship
Alfred P. Sloan Foundation (United States, New York), 1991-1992
Engineering and Physical Sciences Research Council (United Kingdom, Swindon) - EPSRC, 1994-1995
Chercheur Invite
University of Paris-Sud (France, Orsay), 2000-2001
Grant
French National Centre for Scientific Research (France, Paris) - CNRS, 2000-2001
Visiting Member
Institut des Hautes Études Scientifiques (France, Bures-sur-Yvette) - IHÉS, 2001
Visiting Scholar
Kyoto University (Japan, Kyoto), 2010
Residential Fellow, Institute for Advanced Study
Indiana University (United States, Bloomington) - IU, 2015
Simons Fellow in Mathematics
Simons Foundation (United States, New York), 2016-2018
Fellow
American Mathematical Society (United States, Providence) - AMS, 2017
Visiting Scholar
University of Pisa (Italy, Pisa) - UniPi, 2017
Visiting Scholar
Stanford University (United States, Stanford) - SU, 2018
Research Professor
Mathematical Sciences Research Institute (United States, Berkeley) - MSRI, 2022
Distinguished Visiting Professor
Kyoto University (Japan, Kyoto), 2023

Organizational Affiliations

Professor Emeritus of Mathematics, Department of Mathematics , Brandeis University

Education

University of California, Berkeley
Ph.D.
University of California, Berkeley
Ph.D.
Wesleyan University
M.A.
Wesleyan University
B.A.