Marc Culler

Marc Culler (born November 22, 1953 ) is an American mathematician who studies low-dimensional topology , hyperbolic geometry and geometric group theory.

Life

Culler (the son of Glen Culler ) studied at the University of California, Santa Barbara with a bachelor's degree in 1973 and received his doctorate in 1978 with John Stallings at the University of California, Berkeley ( Genus of elements in a free group ). As a post-graduate student , he was an instructor at Rice University . In 1982 he became an Assistant Professor at Rutgers University and an Associate Professor in 1986 and Professor in 1993 at the University of Illinois at Chicago .

In 1986/87 he was at the Institute for Advanced Study and several times at the MSRI (1984/85, 1989, 1994). He is a fellow of the American Mathematical Society . From 1986 to 1988 he was a Sloan Research Fellow . In 1987 he proved the Cyclic Surgery Theorem with Peter Shalen , John Edwin Luecke and Cameron Gordon . He also published many other works with Shalen and worked with Karen Vogtmann (Culler-Vogtmann Outer Space).

with Peter B. Shalen: Varieties of group representations and splittings of 3-manifolds. In: Annals of Mathematics . Volume 117, No. 1, 1983, pp. 109-146, doi : 10.2307 / 2006973 .
with Daryl Cooper, Henri Gillet , Darren D. Long, Peter B. Shalen: Plane curves associated to character varieties of 3-manifolds. In: Inventiones Mathematicae . Volume 118, 1994, pp. 47-84 , (A polynomial of a node).
with Karen Vogtmann: A group-theoretical criterion for property FA. In: Proceedings of the American Mathematical Society. Volume 124, 1996, pp. 677-683, doi : 10.1090 / S0002-9939-96-03217-0 .

^ Mathematics Genealogy Project
↑ Cameron McA. Gordon, John Luecke, Peter B. Shalen: Dehn surgery on knots. In: Annals of Mathematics. Volume 125, No. 2, 1987, pp. 237-300, doi : 10.2307 / 1971311 .
^ Marc Culler, Karen Vogtmann Moduli of graphs and automorphisms of free groups. In: Inventiones Mathematicae. Volume 84, 1986, pp. 91-119 .