Chair, AMS Committee to Select Winner of the Veblen Prize, 2003–2004
Editorships
Journal of the American Mathematical Society, 2004–2010
Inventiones Mathematicae, 1985–1995
Topology and its Applications, 1983–present
Geometry and Topology, 1999–2013
Mathematical Research Letters, 1995–1996
Publications
A complete bibliography can be found on
the “Works” page of this volume.
Recent Collaborators
Charles Doran
Department of Mathematics, Bard College
Adrian Clingher
Institute for Advanced Study
Armand Borel
Institute for Advanced Study
Robert Friedman
Department of Mathematics, Columbia University
Zolton Szabo
Department of Mathematics, University of Michigan
Clifford Taubes
Department of Mathematics, Harvard University
Edward Witten
Institute for Advanced Study
Most Recent Thesis Students
Pedram Safari
PhD, 2000
Mehrzad Ajoodnanian
PhD, 2000
Brendon Owens
PhD, 2000 (University of Glasgow)
Adrian Clingher
PhD, 2001 (University of Missouri– St. Louis)
Synergistic Activities
Involvement with the NSF VIGRE grant at Columbia University reworking the first- and second-year graduate curriculum
Development of a new first-year graduate course (as part of the VIGRE program) on groups and
their representations; preparation of lecture notes for this course.
Preparation of The Seiberg–Witten Equations and Applications to the Topology of Smooth
Four-Manifolds (Princeton: Princeton University Press, 1996),
an introduction suitable for graduate students to the
new and active field of Seiberg–Witten invariants.
Participation as a lecturer in four different summer schools over the course of three years (in China, Hungary, France, Italy) in an attempt to spread the understanding of the new results in Seiberg–Witten theory to
graduate students and young postdoctoral fellows around the world.
With seven other editors, edited Quantum Field Theory, Supersymmetry, and
Enumerative Geometry (Providence, RI: American Mathematical Society, 1999) an attempt to render the language, ideas
and results of modern high energy theoretical physics (quantum field theory and string theory) accessible to
the mathematical community.