Students
| Stephen Smale :Regular curves on Riemannian manifolds University of Michigan, Ph.D. 1957 |
| Edward Baldwin Curtis :The lower central series for free group complexes Harvard University, Ph.D. 1961 |
| Harold Mortimer Edwards, Jr. :Applications of intersection theory to boundary-value problems Harvard University, Ph.D. 1961 |
| Lawrence William Conlon :Spaces of paths on symmetric spaces Harvard University, Ph.D. 1963 |
|
Joseph Abraham Zilber
:Categories in homotopy theory
(Coadvised with Andrew Mattei Gleason ) Harvard University, Ph.D. 1963 |
| Richard Allan Holzsager :On spaces with multiplication and comultiplication Harvard University, Ph.D. 1964 |
| Daniel Gray Quillen :Formal properties of over-determined systems of linear partial differential equations Harvard University, Ph.D. 1964 |
| Peter Steven Landweber :Künneth formulas for bordism theories Harvard University, Ph.D. 1965 |
| Connor Lazarov :Secondary characteristic classes in $K$-theory Harvard University, Ph.D. 1965 |
| Morris William Brooks :The cohomology of the complement of a submanifold Ph.D. 1969 |
| Richard Lawrence Brown :Cobordism embeddings and fibrations of manifolds Ph.D. 1969 |
|
Andreas Raphael Blass
:Orderings of ultrafilters
(Coadvised with Frank Arvey Wattenberg) Harvard University, Ph.D. 1970 |
| Robert Duncan MacPherson :Singularities of maps and characteristic classes Harvard University, Ph.D. 1970 |
| Edward Yarnell Miller :Local isomorphism of Riemannian, Hermitian, and combinatorial manifolds Harvard University, Ph.D. 1973 |
| John Dayton Garberson :The cohomology of certain algebraic varieties Ph.D. 1974 |
| Mark Alan Mostow :Continuous cohomology of spaces with two topologies Harvard University, Ph.D. 1975 |
| James Perchik :Cohomology of Hamiltonian and related formal vector-field Lie algebras Ph.D. 1975 |
| Richard Simon Weiss :Refined Chern classes for foliations Ph.D. 1976 |
| Robert Wolfe Brooks :The smooth cohomology of groups of diffeomorphisms Harvard University, Ph.D. 1977 |
| Nancy Burgess Hingston :Equivariant Morse theory and closed geodesics Harvard University, Ph.D. 1981 |
| Nicholas Gunther :Hamiltonian mechanics and optimal control Ph.D. 1982 |
| Henry Turner Laquer :Homogeneous connections and Yang–Mills theory on homogeneous spaces Harvard University, Ph.D. 1982 |
| Robin Ticciati :Singular points in moduli spaces of Yang–Mills fields Ph.D. 1984 |
| Robin Forman :Functional determinants and applications to geometry Harvard University, Ph.D. 1985 |
| Kevin David Corlette :Stability and canonical metrics in infinite dimensions Harvard University, Ph.D. 1986 |
| Jonathan L. Block :Excision in cyclic homology of toplogical algebras Harvard University, Ph.D. 1987 |
|
Paul Bressler
:Schubert calculus in generalized cohomology
(Coadvised with Victor William Guillemin) Massachusetts Institute of Technology, Ph.D. 1989 |
| Rama Rao Kocherlakota :Integral homology of real flag manifolds and loop spaces of symmetric spaces Harvard University, Ph.D. 1989 |
| Robert Morelli :Hilbert’s third problem and the $K$-theory of toric varieties Harvard University, Ph.D. 1989 |
| Michael David Grossberg :Complete integrability and geometrically induced representations Massachusetts Institute of Technology, Ph.D. 1991 |
| Andras Szenes :The Verlinde formulas and moduli spaces of vector bundles Harvard University, Ph.D. 1992 |
| Eric Ross Weinstein :Extension of self-dual Yang–Mills equations across the eighth dimension Harvard University, Ph.D. 1992 |
| Susan Tolman :Group actions and cohomology Harvard University, Ph.D. 1993 |
| Constantine Costes :Some explicit cocycles for cohomology classes of groups of diffeomorphisms preserving a $G$-structure Harvard University, Ph.D. 1994 |
| Constantin Teleman :Lie algebra cohomology and the fusion rules Harvard University, Ph.D. 1994 |
| James Alan Bernhard :Equivariant De Rham theory and stationary phase expansions Harvard University, Ph.D. 2000 |
