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| Martin Kassabov |
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| Assistant Professor of Mathematics |
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Web Site N/A Contact Information
Courses & Office Hours |
Education
Ph.D. (2003) Yale University
Research Area: Combinatorial group theory
My research interests fall into two main categories: (1) representation theory of discrete groups, mainly Kazhdan property and property tau; (2) combinatorial algebra — applications of different combinatorial methods in abstract algebra.
The main part of my research is related to properties T and tau. These properties arise from the representation theory, and they have many applications in combinatorics.
Another part of my research can be broadly described as combinatorial algebra. My research interests are concentrated in the following topics: automorphism groups, Golod-Shafarevich groups, group rings.
Selected Publications
Kazhdan constants for SL_n(Z), International Journal of Algebra and Computation (to appear). arXiv:math.GR/0311487
Symmetric groups and expanders (announcement), Electronic Research Announcements of AMS (to appear). arXiv:math.GR/0503204
Diameters of Cayley graphs of SL_n(Z/kZ) (with Tim Riley), preprint January 2005. arXiv:math.GR/0502221
Universal lattices and property Tau (with N. Nikolov), preprint February 2005. arXiv:math.GR/0502112
Universal lattices and unbounded rank expanders, preprint February 2005. arXiv:math.GR/0502237
Symmetric groups and expanders, preprint May 2005.
Last modified: June 30, 2006