Zoltán Szabó (mathematician)

Zoltán Szabó (* 1965 in Budapest ) is a Hungarian - American mathematician who deals with topology .

Life

Szabo studied at the Loránd Eötvös University in Budapest (Bachelor 1990) and then at Rutgers University , where he received his doctorate in 1994 with Ted Petrie . From 1994 he was an instructor and from 1996 assistant professor at Princeton University , where he became an associate professor in 2000 and professor in 2002 after a year at the University of Michigan in Ann Arbor . Since 2005 he has been the Henry Burchard Fine Professor of Mathematics there.

With Peter Ozsváth he developed the Heegaard-Floer homology ; both received the Oswald Veblen Prize in 2007 . With John Morgan and Clifford Taubes he proved the Thom conjecture in 1994 , independently of Peter Kronheimer and Tomasz Mrowka .

He was a Packard Fellow from 1998 to 2003 and a Sloan Research Fellow from 1998 to 2000 . Szabo was invited speaker with Ozsvath at the International Congress of Mathematicians (ICM) 2006 in Madrid ( Heegaard diagrams and Floer homology ). In 2004 he gave a plenary lecture with Ozsváth at the 4th European Congress of Mathematicians ( On Heegaard diagrams and holomorphic discs ).

Works

• with John Morgan, Clifford Taubes: A product formula for the Seiberg-Witten invariants and the generalized Thom conjecture. J. Differential Geom. 44 (1996) no. 4, 706-788.
• Simply connected irreducible 4 manifolds with no symplectic structures. Invent. Math. 132 (1998) no. 3, 457-466.
• with Ozsváth: The symplectic Thom conjecture. Ann. of Math. (2) 151 (2000), no. 1, 93-124.
• with Ozsváth: Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary. Adv. Math. 173 (2003), no. 2, 179-261.
• with Ozsváth: Knot Floer homology and the four-ball genus. Geom. Topol. 7: 615-639 (2003).
• with Ozsváth: Holomorphic disks and genus bounds. Geom. Topol. 8: 311-334 (2004).
• with Ozsváth: Holomorphic disks and knot invariants. Adv. Math. 186 (2004), no. 1, 58-116.
• with Ozsváth: Holomorphic disks and topological invariants for closed three-manifolds. Ann. of Math. (2) 159 (2004) no. 3, 1027-1158.
• with Ozsváth: Holomorphic disks and three-manifold invariants: properties and applications. Ann. of Math. (2) 159 (2004) no. 3, 1159-1245.
• with Ozsváth: Heegaard Floer homology and contact structures. Duke Math. J. 129 (2005), no. 1, 39-61.
• with Ozsváth: On knot Floer homology and lens space surgeries. Topology 44 (2005) no. 6, 1281-1300.
• with Ozsváth: Holomorphic triangles and invariants for smooth four-manifolds. Adv. Math. 202 (2006), no. 2, 326-400.
• with Peter Kronheimer , Tomasz Mrowka , Ozsváth: Monopoles and lens space surgeries. Ann. of Math. (2) 165 (2007), no. 2, 457-546.

Web links

• Homepage