Peter Ozsváth
American mathematician
- Elisenda Grigsby
- Kristen Hendricks
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.
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.[2] In July 2017, he was a plenary lecturer in the Mathematical Congress of the Americas.[3] He was elected a member of the National Academy of Sciences in 2018.[citation needed]
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. S2CID 119143219.
- 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
- ^ "2007 Veblen Prize" (PDF), Notices of the AMS, 54 (4): 527–530, April 2007.
- ^ "2008 Fellows". Guggenheim Foundation. Archived from the original on 20 September 2008. Retrieved 12 Jan 2019. from Wayback Machine
- ^ "Mathematical Congress of the Americas 2017".
External links
- Personal homepage
- Peter Ozsváth at the Mathematics Genealogy Project
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Recipients of the Oswald Veblen Prize in Geometry
- 1964 Christos Papakyriakopoulos
- 1964 Raoul Bott
- 1966 Stephen Smale
- 1966 Morton Brown and Barry Mazur
- 1971 Robion Kirby
- 1971 Dennis Sullivan
- 1976 William Thurston
- 1976 James Harris Simons
- 1981 Mikhail Gromov
- 1981 Shing-Tung Yau
- 1986 Michael Freedman
- 1991 Andrew Casson and Clifford Taubes
- 1996 Richard S. Hamilton and Gang Tian
- 2001 Jeff Cheeger, Yakov Eliashberg and Michael J. Hopkins
- 2004 David Gabai
- 2007 Peter Kronheimer and Tomasz Mrowka; Peter Ozsváth and Zoltán Szabó
- 2010 Tobias Colding and William Minicozzi; Paul Seidel
- 2013 Ian Agol and Daniel Wise
- 2016 Fernando Codá Marques and André Neves
- 2019 Xiuxiong Chen, Simon Donaldson and Song Sun
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