Research

My research interests include geometric group theory and rigidity. I use methods of geometric group theory to study lattices in automorphism groups of polyhedral complexes, including buildings. Many questions are motivated by the study of lattices in Lie groups.

Papers

For copyright reasons, the pdf files below are the versions submitted for publication. If you have a subscription, clicking on the name of the journal will take you to the electronic published version.

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Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices

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Lattices in trees and higher-dimensional complexes

  • with Benson Farb and Shahar Mozes
  • to appear in the book and wiki "Problems in Geometric Group Theory".
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On the set of covolumes of lattices for Fuchsian buildings

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Counting overlattices for polyhedral complexes

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Covering theory for complexes of groups

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Lattices acting on right-angled buildings

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Covolumes of uniform lattices acting on polyhedral complexes

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