Celebratio Mathematica

Isadore M. Singer

Students

Richard Lawrence Bishop :On imbeddings and holonomy Massachusetts Institute of Technology, Ph.D. 1959
Hugo Rossi :Maximality of algebras of holomorphic functions Massachusetts Institute of Technology, Ph.D. 1960
Andrew Browder :Cohomology of maximal ideal spaces and some Dirichlet algebras Massachusetts Institute of Technology, Ph.D. 1961
Frank Wilson Warner, III :Conjugate locus of a Riemannian manifold Massachusetts Institute of Technology, Ph.D. 1963
Alan Bram Poritz :Parallelism on $p$-surfaces in Riemannian manifolds Massachusetts Institute of Technology, Ph.D. 1965
Nathan Moreira dos Santos :On the conjugate locus of a Riemannian manifold Massachusetts Institute of Technology, Ph.D. 1966
David Gregory Ebin :On the space of Riemannian metrics Massachusetts Institute of Technology, Ph.D. 1967
Lawrence Julian Wallen :Some theorems on isometric and unitary operators in Hilbert space Massachusetts Institute of Technology, Ph.D. 1967
Bent Edvard Petersen :On the calculus of symbols for pseudo-differential operators Massachusetts Institute of Technology, Ph.D. 1968
Linda Preiss Rothschild :On the adjoint action of a real semisimple Lie group Massachusetts Institute of Technology, Ph.D. 1970
Michael Jeffrey Cowen :Value distribution theory Massachusetts Institute of Technology, Ph.D. 1971
Daniel Matthew Burns, Jr. :Differential operators on varieties Massachusetts Institute of Technology, Ph.D. 1972
Gerald Walter Schwarz :$Q$-manifolds Massachusetts Institute of Technology, Ph.D. 1972
Kenneth Everett Ekman :Indices on $C^*$-algebras through representations in the Calkin algebra Massachusetts Institute of Technology, Ph.D. 1973
Paul Lewis King :The geometry of homomorphism-valued inner products Massachusetts Institute of Technology, Ph.D. 1973
Nancy Kahn Stanton :Holomorphic $R$-torsion for Lie groups Massachusetts Institute of Technology, Ph.D. 1973
Lee Norman Rudolph :Morse theory of a surface in $\mathbb{C}P^3$ Massachusetts Institute of Technology, Ph.D. 1974
David Lewis Johnson :A normal form for curvature Massachusetts Institute of Technology, Ph.D. 1977
Maria Luiza Soares Leite :On metrics of $\mathbb{R}^3$ with non-negative scalar curvature Massachusetts Institute of Technology, Ph.D. 1977
Nicolae Sinel Teleman :Global analysis on PL-manifolds Massachusetts Institute of Technology, Ph.D. 1977
Antun Domic :An a priori inequality for the signature operator Massachusetts Institute of Technology, Ph.D. 1978
Roger Sherwood Schlafly :Universal connections and a characteristic class for Euclidean space Massachusetts Institute of Technology, Ph.D. 1980
John William Lott :Applications of heat kernel expansions of quantum field theory Massachusetts Institute of Technology, Ph.D. 1983
Anthony Paul Csizmazia :Invariants under congruence for infinite dimensional operators Massachusetts Institute of Technology, Ph.D. 1984
Daniel Stuart Freed :The geometry of loop groups Massachusetts Institute of Technology, Ph.D. 1985
Marek Kierlanczyk :Determinants of Laplacians Massachusetts Institute of Technology, Ph.D. 1986
Dana Stanley Fine :Quantum Yang–Mills on the two-sphere Massachusetts Institute of Technology, Ph.D. 1989
Nai-Chung Conan Leung :Differential geometric and symplectic interpretations of stability in the sense of Gieseker Massachusetts Institute of Technology, Ph.D. 1993
Serguei Piunikhin :Quantum and Floer cohomology have the same ring structure Massachusetts Institute of Technology, Ph.D. 1996
Richard Stone :2-Loop perturbative invariants of lens spaces and a test of Chern–Simons quantum field theory Massachusetts Institute of Technology, Ph.D. 1996
Radu Constantinescu :Circular symmetry in topological quantum field theory and the topology of the index bundle Massachusetts Institute of Technology, Ph.D. 1998
Huazhang Luo :Stability of algebraic manifolds Massachusetts Institute of Technology, Ph.D. 1998
Andreas Malmendier :Expressions for the generating function of the Donaldson invariants for $\mathbb{C}P^2$ Massachusetts Institute of Technology, Ph.D. 2007