Group Theory


Research Interests

I am interested in geometric group theory and geometric topology. In particular, my research concerns right-angled Artin groups, mapping class groups, braid groups, arrangement groups, and quantum representations.


B.S.: University of Chicago, 2007

M.A.: Harvard University, 2008

Ph.D.: Harvard University, 2012



  • Master of Arts (MA), Brandeis University
  • Doctor of Philosophy (PhD), Yale University

Research Projects

  • Kazhdan's property (T), Golod-Shafarevich groups and Kac-Moody groups
    • Project sponsored by U.S. NSF - Directorate Math. & Physical Sciences
    • 09/15/2009 - 08/31/2012
  • Sloan Research Fellowship for Mikhail Ershov
    • Project sponsored by Sloan Foundation


Research Interests

My research lies at the meeting ground of algebra, number theory and algebraic geometry. More precisely, I am primarily interested in various properties of algebraic groups over non-algebraically closed fields, with special focus on local and global fields. I also study linear representations of finitely generated groups using the technique of representation varieties and try to understand the phenomenon of representation rigidity.

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