### 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 |

Nicolae Sinel Teleman :Global analysis on PL-manifolds Massachusetts Institute of Technology, Ph.D. 1977 |

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 |

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 |