Zoltán Szabó (mathematician)

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

Life

Szabo studied at the Eotvos Lorand University in Budapest ( bachelor's degree, 1990) and then at Rutgers University, where he graduated in 1994 be received his doctorate with Ted Petrie. In 1994 he was Instructor and in 1996 Assistant professor at Princeton University, where he in 2000 Associate Professor and Professor in 2002 was for a year at the University of Michigan in Ann Arbor. Since 2005 he has been there Henry Burchard Fine Professor of Mathematics.

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

1998 to 2003 he was Packard Fellow and 1998-2000 Sloan Fellow. Szabo was with Ozsváth Invited Speaker at the International Congress of Mathematicians (ICM ) 2006 in Madrid ( Heegaard Floer homology and diagrams ). In 2004 he held a plenary lecture with Ozsváth the 4th European Congress of Mathematicians (On Heegaard diagrams and holomorphic discs).

Works

• Conjecture A product formula for the Seiberg - Witten invariants and the generalized Thom: John Morgan, Clifford Taubes. 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.
• The symplectic Thom conjecture: with Ozsváth. Ann. of Math ( 2) 151 (2000 ), no 1, 93-124.
• With Ozsváth: Absolutely graded Floer homo logies 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 (2003), 615-639.
• With Ozsváth: holomorphic disks and genus bounds. Geom Topol. 8 (2004), 311-334.
• 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: monopole and lens space surgeries. Ann. of Math (2 ) 165 (2007 ), no 2, 457-546.