Sevak Mkrtchyan

Department of Mathematics
University of Rochester
Rochester NY 14627

Office: Hylan 805
E-mail: first.last(at)rochester.edu

I am an assistant professor at the University of Rochester. I received a PhD from UC Berkeley in 2009 where I studied under the supervision of Nicolai Reshetikhin.

Research interests

Random tilings, determinantal point processes and random matrix theory, asymptotic representation theory and asymptotic combinatorics.

Publications and preprints

  1. Turning point processes in plane partitions with periodic weights of arbitrary period,in preparation.
  2. GUE corners limit of q-distributed lozenge tilings (with L. Petrov). Submitted.
  3. Symmetrizing Tableaux and the 5th case of the Foulkes Conjecture (with M. Cheung, C. Ikenmeyer). Journal of Symbolic Computation, Accepted.
  4. Plane partitions with two-periodic weights. Letters in Mathematical Physics, 104(9):1053-1078, 2014.
  5. Entropy of Schur-Weyl measures. Annales de l'Institut Henri Poincaré, 50(2):678-713, 2014.
  6. Entropy and the Shannon-McMillan-Breiman theorem for beta random matrix ensembles (with A. Bufetov, M. Shcherbina, A. Soshnikov), Journal of Statistical Physics, 152(1):1-14, 2013.
  7. Asymptotics of the maximal and the typical dimensions of isotypic components of tensor representations of the symmetric group, European Journal of Combinatorics, 33(7):1631-1652, 2012.
  8. Scaling limits of random skew plane partitions with arbitrarily sloped back walls, Communications in Mathematical Physics, 305(3):711-739, 2011.
  9. Random skew plane partitions with a piecewise periodic back wall (with C. Boutillier, N. Reshetikhin, P. Tingley.), Annales Henri Poincaré. 13(2):271-296, 2012.
  10. Scaling limits of random skew plane partitions. PhD Thesis, University of California, Berkeley, 2009.
Links
  1. Carl Mueller's advice for UR Probability Graduate Students
  2. UR Probability page
  3. UR Math Department