Anne Thomas

H. C. Wang Assistant Professor of Mathematics

Web Site www.math.cornell.edu/~athomas/ Contact Information Office:  591 Malott Hall Phone:  (607) 255-8268 Fax:  (607) 255-7149 Email:  athomas@math.cornell.edu Courses & Office Hours

Education

Ph.D. (2007) University of Chicago

Research Area: geometric group theory, rigidity, buildings

Let X be a locally finite polyhedral complex. Examples include trees, products of trees, classical buildings, and hyperbolic buildings. The automorphism group G of X is naturally a locally compact group. I use methods of geometric group theory to investigate lattices in G, and to compare their properties with those of lattices in Lie groups.

Selected Publications

Lattices acting on right-angled buildings, Algebr. Geom. Topol. 6 (2006), 1215–1238.

Covolumes of uniform lattices acting on polyhedral complexes, Bull. London Math. Soc. 39 (2007), 103–111.

On the set of covolumes of lattices for Fuchsian buildings, C. R. Acad. Sci. Paris, Ser. I 344 (2007), 215–218.

Covering theory for complexes of groups (with Seonhee Lim), J. Pure Appl. Algebra 212 (2008) 1632–1663.

Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices (with Benson Farb and G. Christopher Hruska); in Festschrift for Robert Zimmer's 60th birthday (to appear).

Last modified: September 24, 2008