Robert Gompf

Robert Ernest Gompf (* 1957 ) is an American mathematician who studies geometric topology.

Gompf received his PhD in 1984 from the University of California, Berkeley , with Robion Kirby ( An invariant for Casson handles, disks and knot concordants ). He is a professor at the University of Texas at Austin .

It deals with the topology of 4-manifolds. In 1990 he and Tomasz Mrowka showed that there are simply connected , irreducible 4-manifolds that do not allow complex structures. In 1995 he used a new method to construct a whole series of simply connected, compact symplectic 4-manifolds that were not homeomorphic or diffeomorphic to complex manifolds ( Kähler manifolds ). He constructed such compact symplectic 4-manifolds for arbitrary finitely presentable fundamental groups and arbitrary values ​​of the first Chern number or signature .

He is a fellow of the American Mathematical Society . He was invited speaker at the 1994 International Congress of Mathematicians in Zurich ( Smooth 4-manifolds and symplectic topology ).

Fonts

• with András I. Stipsicz: 4-manifolds and Kirby calculus , AMS 1999
• A new construction of symplectic manifolds , Annals of Mathematics, Volume 142, 1995, pp. 527-595
• with Tomasz Mrowka Irreducible four manifolds need not be complex , Annals of Mathematics, 138, 1993, 61-111
• Handlebody construction of Stein surfaces , Annals of Mathematics, 148 1998, 619-693

Web links

• University homepage

Individual evidence

1. ↑ Robert Gompf in the Mathematics Genealogy Project (English)