Arman-2

     About Me:   I am a final year PhD student in math at Vanderbilt University. I am interested in geometric, combinatorial and computational group theory; low-dimensional topology; computability and computational complexity theory, including the interplay between them. My advisor is Alexander Olshanskii.  Here is a copy of my  CV.

 

 

Papers:

  1. Computable groups which do not embed into groups with decidable conjugacy problem (Answer to a Collins’ question), arXiv:1708.09047
  2. Word and conjugacy problems in lacunary hyperbolic groups, 97 pages, arXiv:1708.04591
  3. Group embeddings with algorithmic properties, Communications in Algebra, 2015

Presentations:

  • Geometric Group Theory and Topology Seminar, Tufts University, October 31, 2017
  • Topology and Group Theory Seminar, Vanderbilt University, September 13, 2017
  •  AMS Sectional Meeting, Special Session on Combinatorial/Geometric/Probabilistic Methods in Group Theory, University of North Texas, September 2017
  • UIUC Logic Seminar, University of Illinois, Urbana-Champaign, IL, September 5, 2017
  • AMS Sectional Meeting, Special Session on Computational and Algorithmic Group Theory, CUNY, NYC, May 2017
  • Topology and Group Theory Seminar, Vanderbilt University, April 5, 2017 Other presentations
  •  Young Geometric Group Theory VI, Oxford, UK, March 2017 (Clay Mathematics Institute sponsored poster presentation)
  •  Geometric and Combinatorial Methods in Group Theory (In honor of Mark Sapir’s 60th birthday), UIUC, IL, May 2017 (Poster presentation)