Peter Ozsváth

Peter Steven Ozsváth (born October 20, 1967) is a professor of mathematics at Princeton University. He created, along with Zoltán Szabó, Heegaard Floer homology, a homology theory for 3-manifolds.

Peter Ozsváth
Peter Ozsváth in Berkeley, 2005
BornOctober 20, 1967
Dallas, Texas
NationalityUnited States
Alma materPrinceton University
AwardsOswald Veblen Prize in Geometry (2007)
Guggenheim Fellow (2008)
Member of the National Academy of Sciences (2018)
Scientific career
FieldsMathematics
InstitutionsPrinceton University
Massachusetts Institute of Technology
Columbia University
Yale University
University of California, Berkeley
Doctoral advisorJohn Morgan
Doctoral studentsElisenda Grigsby


Education

Ozsváth received his Ph.D. from Princeton in 1994 under the supervision of John Morgan; his dissertation was entitled On Blowup Formulas For SU(2) Donaldson Polynomials.

Awards

In 2007, Ozsváth was one of the recipients of the Oswald Veblen Prize in Geometry.[1] In 2008 he was named a Guggenheim Fellow. In July 2017, he was a plenary lecturer in the Mathematical Congress of the Americas.[2] He was elected a member of the National Academy of Sciences in 2018.

Selected publications
  • Ozsváth, Peter; Szabó, Zoltán (2004). "Holomorphic disks and topological invariants for closed three-manifolds". Ann. of Math. 159 (3): 1027–1158. arXiv:math/0101206. doi:10.4007/annals.2004.159.1027.
  • Ozsváth, Peter; Szabó, Zoltán (2004). "Holomorphic disks and three-manifold invariants: properties and applications". Ann. of Math. 159 (3): 1159–1245. doi:10.4007/annals.2004.159.1159.
  • Grid Homology for Knots and Links, American Math Society, (2015)

References
  1. "2007 Veblen Prize" (PDF), Notices of the AMS, 54 (4): 527–530, April 2007.
  2. "Mathematical Congress of the Americas 2017".


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