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

- Similar point configurations via group actions (with P. Bhowmik, A. Greenleaf, A. Iosevich and F. Rakhmonov).
- On the phase diagram of the polymer model (with A. Krishnan, and S. Neville).
- Rigidity, graphs and Hausdorff dimension (with N. Chatzikonstantinou, A. Iosevich and J. Pakianathan).
**Springer International Publishing**, Combinatorial and Additive Number Theory IV: 73-106. - Random gap processes and asymptotically complete sequences (with E. Brown-Crossen and J. Pakianathan),
**Journal of Theoretical Probability**(2021). https://doi.org/10.1007/s10959-021-01091-8. - Turning point processes in plane partitions with periodic weights of arbitrary period; Representation Theory, Mathematical Physics, and Integrable Systems,
**Progress in Mathematics**, vol 340. - The limit shape of the Leaky Abelian Sandpile model (with I. Alevy),
**International Mathematics Research Notices**, Volume 2022, Issue 16, Pages 12767-12802. - Existence of similar point configurations in thin subsets of R^d (with A. Greenleaf and A. Iosevich).
**Mathematische Zeitschrift**, 297:855–865, 2021. - GUE corners limit of q-distributed lozenge tilings (with L. Petrov).
**Electronic Journal of Probability**, Volume 22 (2017), paper no. 101, 24 pp. - Symmetrizing Tableaux and the 5th case of the Foulkes Conjecture (with M. Cheung, C. Ikenmeyer).
**Journal of Symbolic Computation**, 80 (2017) 833-843. - Plane partitions with two-periodic weights.
**Letters in Mathematical Physics**, 104(9):1053-1078, 2014. - Entropy of Schur-Weyl measures.
**Annales de l'Institut Henri Poincaré**, 50(2):678-713, 2014. - 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. -
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. -
Scaling limits of random skew plane partitions with arbitrarily sloped back walls,
**Communications in Mathematical Physics**, 305(3):711-739, 2011. -
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. - Scaling limits of random skew plane partitions. PhD Thesis, University of California, Berkeley, 2009.