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:  samohtenna@gmail.com Courses & Office Hours

Education

Ph.D. (2007) University of Chicago

Research Area: geometric group theory, rigidity

Let X be a locally finite polyhedral complex. Then G = Aut(X) is naturally a locally compact group. Many questions from the study of lattices in Lie groups make sense in this context. Some examples of such complexes X are trees, products of trees, classical buildings, hyperbolic buildings and non-buildings. I use methods of geometric group theory to investigate lattices in Aut(X), studying both general questions, such as covolumes, and key examples.

Selected Publications

Lattices acting on right-angled buildings, Algebr. Geom. Topol. 6 (2006), 1215–1218.

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.

Last modified: January 30, 2008