Peter Ozsváth
Peter Steven Ozsváth (born October 20, 1967 in Dallas ) is an American mathematician .
Ozsvath studied at Stanford University (Bachelor's degree in 1989) and received his PhD in 1994 with John Morgan at Princeton University (On Blowup Formulas For SU (2) Donaldson Polynomials). He then worked as a post-doc at the California Institute of Technology (Caltech), the Max Planck Institute for Mathematics in Bonn , the Mathematical Sciences Research Institute (MSRI) in Berkeley and the Institute for Advanced Study . After positions at the University of California, Berkeley , Princeton University and Michigan State University , he was at Columbia University since 2002 . He is currently a professor at Princeton University.
With Zoltán Szabó he developed the Heegaard-Floer homology . In 2007, both received the Oswald Veblen Prize .
Ozsvath was Sloan Fellow and invited speaker with Szabo at the International Congress of Mathematicians (ICM) 2006 in Madrid ( Heegaard diagrams and Floer homology ). In 2004 he gave a plenary lecture with Szabo at the 4th European Congress of Mathematicians ( On Heegard diagrams and holomorphic discs ). In 2018 Ozsváth was elected to the National Academy of Sciences .
Works
- with Tomasz Mrowka , Baozhen Yu: Seiberg-Witten monopoles on Seifert fibered spaces. Comm. Anal. Geom. 5 (1997), no. 4, 685-791.
- with Szabó: The symplectic Thom conjecture. Ann. of Math. (2) 151 (2000), no. 1, 93-124.
- with Szabó: Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary. Adv. Math. 173 (2003), no. 2, 179-261.
- with Szabó: Knot Floer homology and the four-ball genus. Geom. Topol. 7: 615-639 (2003).
- with Szabó: Holomorphic disks and genus bounds. Geom. Topol. 8: 311-334 (2004).
- with Szabó: Holomorphic disks and knot invariants. Adv. Math. 186 (2004), no. 1, 58-116.
- with Szabó: Holomorphic disks and topological invariants for closed three-manifolds. Ann. of Math. (2) 159 (2004) no. 3, 1027-1158.
- with Szabó: Holomorphic disks and three-manifold invariants: properties and applications. Ann. of Math. (2) 159 (2004) no. 3, 1159-1245.
- with Szabó: Heegaard Floer homology and contact structures. Duke Math. J. 129 (2005), no. 1, 39-61.
- with Szabó: On knot Floer homology and lens space surgeries. Topology 44 (2005) no. 6, 1281-1300.
- with Szabó: Holomorphic triangles and invariants for smooth four-manifolds. Adv. Math. 202 (2006), no. 2, 326-400.
- with Peter Kronheimer , Mrowka, Szabó: Monopoles and lens space surgeries. Ann. of Math. (2) 165 (2007), no. 2, 457-546.
- with Ciprian Manolescu , Sucharit Sankar : A combinatorial description of knot Floer homology. Ann. of Math. (2) 169 (2009), no. 2, 633-660.
Web links
| personal data | |
|---|---|
| SURNAME | Ozsváth, Peter |
| ALTERNATIVE NAMES | Ozsváth, Peter Steven (full name) |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | 20th October 1967 |
| PLACE OF BIRTH | Dallas |