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Professor of Mathematics
Ph.D. 1967 (mathematics), M.S. 1966 (mathematics), Princeton; B.A. 1964 (mathematics), Harvard.
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Research Interests: Differential geometry and its connections to topology and analysis
Affiliations: National Academy of Sciences, elected 1997; Finnish Academy of Letter and Science, elected 1998; American Mathematical Society (AMS).
Fellowships/Honors: Rado Lecturer, Ohio State University, 1998; Andrejewski Lecturer, University of Göttingen, 1997; Blyth Lecturer, University of Toronto, 1997; Max Planck Research Award, Alexander von Humboldt Society, 1992-1994; Marston Morse Lecturer, Institute for Advanced Study, 1992; Guggenheim Fellow, 1984-1985; Invited Address, Annual Meeting of AMS, 1978; International Congress of Mathematicians, 1974 and 1986; Alfred P. Sloan Fellow, 1971-1973; National Science Foundation Postdoctoral Fellow, 1967-1968.
Selected Works:
Lower bounds on Ricci curvature and the almost rigidity of warped products, with T. H. Colding. Annals of Math. 144. 1996. 189-237.
On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay, with G. Tian. Invent Math, 118. 1994. 493-571.
Collapsing Riemannian manifolds while keeping their curvature bounded, II, with M. Gromov. J. Differential Geometry. 31, 4. 1990. 269-298.
Eta-invariants and their adiabatic limits, with J. M. Bismut. J. American Mathematical Society, 2, 1. 1989. 33-70.
On the Hodge theory of Riemannian pseudomanifolds. Amer. Soc. Proc. Sym. Pure Math, 36. 1980. 91-146.
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