I am a tenured associate professor in department of mathematics, University of Connecticut. I am interested in theoretical and applied probability, data science and machine learning.



  1. Local statistics of realizable vertex models, Commun.Math.Phys, 304, 723-763(2011), arxiv
  2. Critical temperature of periodic Ising models, Commun.Math.Phys, 315, 337-381(2012), arxiv
  3. 1-2 model, dimers, and clusters, Electron. J. Probab. 19 (2014), no. 48, 1-28, journal
  4. Self-avoiding walks and the Fisher transformation, with Geoffrey Grimmett, Electron.J.Combin.,20 (2013), Paper P47, 14 pp arxiv
  5. Uniqueness of the infinite homogeneous cluster in the 1-2 model, Electron. Commun. Probab. 19 (2014), no. 23, 1-8 journal
  6. Bounds on connective constants of regular graphs, with Geoffrey Grimmett, Combinatorica, 35 (2015), no. 3, 279-294 arxiv
  7. Strict inequalities for connective constants of transitive graphs, with Geoffrey Grimmett, SIAM J. Discrete Math. 28 (2014), no. 3, 1306–1333, arxiv
  8. Spectral curve of periodic Fisher graphs, Journal of Mathematical Physics 55, 123301 (2014), 25pp; pdf
  9. Conformal invariance of dimer heights on isoradial double graphs, ANNALES DE L’INSTITUT HENRI POINCARÉ D, vol. 4 (2017), 273-307, pdf
  10. Critical surface of the hexagonal polygon model, with Geoffrey Grimmett, Journal of Statistical Physics 163 (2016), no. 4, 733–753, arxiv
  11. The 1-2 model, with Geoffrey Grimmett, Contemporary Mathematics 696 (2017) , 139-152, arxiv
  12. Connective constants and height functions for Cayley graphs, with Geoffrey Grimmett, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5961–5980, arxiv
  13. Critical surface of the 1-2 model, with Geoffrey Grimmett, Int. Math. Res. Not. IMRN, no. 2 (2018), 6617–6672, arxiv
  14. Self-avoiding walks and connective constants, with Geoffrey Grimmett, arxiv, Sojourns in Probability Theory and Statistical Physics III (2019), pp 215-241, Interacting Particle Systems and Random Walks, A Festschrift for Charles M. Newman, journal
  15. Self-avoiding walks and amenability, with Geoffrey Grimmett,  the Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), Paper #P.4.38, 24pp, arxiv,
  16. Locality of connective constants, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 341, Issue 12, December 2018, Pages 3483-3497
  17. Constrained percolation in two dimensions, with Alexander Holroyd, arxiv, ANNALES DE L’INSTITUT HENRI POINCARÉ D, Ann. Inst. Henri Poincaré Comb. Phys. Interact.8 (2021), 323–375
  18. Weighted self-avoiding walks, with Geoffrey Grimmett, arxiv, Journal of Algebraic Combinatorics (JACO), 52, 77–102(2020), journal
  19. Mixing time of Markov chains for the 1-2 model, arxiv, Journal of Statistical Physics, 176(6)(2019), 1526-1560
  20. Cubic graphs and the golden mean, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 343, Issue 1, January 2020, 111638, 32pp, journal
  21. Constrained percolation, Ising model and XOR Ising model on planar lattices, Random Structures and Algorithms 57 (2020), no. 2, 474–525., arxiv
  22. Positive speed self-avoiding walks on graphs with more than one end, Journal of Combinatorial Theory, Series A, Volume 175, October 2020, 105257, 47pp, arxiv
  23. Asymptotics of Schur functions on almost staircase partitions, Electronic Communications in Probability, Volume 25 (2020), paper no. 51, 13 pp, arxiv, pdf
  24.  Limit shape and height fluctuations of random perfect matchings on square- hexagon lattices, with Cédric Boutillier, ANNALES DE L’INSTITUT FOURIER, accepted, arxiv
  25. On the identifiability of interaction functions in systems of interacting particles, with Fei Lu, Mauro Maggioni, Sui Tang, Cheng Zhang, arxiv, Stochastic Processes and Their Applications, 132 (2021), 135–163
  26. Exact recovery of community detection in k-partite graph models, Journal of Statistical Physics, volume 182, Article number: 6 (2021), arxiv,
  27. Limit shape of perfect matchings on contracting bipartite graphs, International Mathematics Research Notices, accepted, pdf
  28. Schur function at general points and limit shape of perfect matchings on contracting square hexagon lattices with piecewise boundary conditions, International Mathematics Research Notices, accepted, arxiv
  29. Asymptotics of dimer coverings on rail-yard graphs, International Mathematics Research Notices, accepted, arxiv
  30. Brownian snails with removal: pandemics in a diffusing population, with Geoffrey Grimmett, Electronic Journal of Probability, accepted, arxiv
  31. Fluctuations of dimer heights on contracting square-hexagon lattices,  pdf, AIHP D, accepted,
  32. On the coercivity condition in the learning of interacting particle systems, with Fei Lu, pdf, Stochastics and Dynamics, accepted


  1. Exact recovery of community detection in k-community Gaussian mixture models, pdf
  2. Ising percolation on nonamenable planar graphs, pdf
  3. Matchings on random regular hypergraphs, pdf
  4. Asymptotics of pure dimer coverings on rail-yard graphs, with Mirjana Vuletic, pdf
  5. Hyperbolic site percolation, with Geoffrey Grimmett, arxiv
  6. Percolation critical probabilities of matching lattice-pairs, with Geoffrey Grimmett, arxiv, pdf
  7. Exact recovery of community detection in dependent Gaussian mixture models, with Sichen Yang, arxiv
  8. Asymptotics of dimer coverings on free boundary rail-yard graphs, arxiv
  9. Planar site percolation via tree embeddings, arxiv
  10. Planar site percolation on semi-transitive graphs, arxiv


Simons Visiting Professorship, Oberwolfach, Germany, 2020

Research Membership, MSRI, Berkeley, Fall 2021


  1. PI for NSF DMS-1608896 2016-2022 127990 USD
  2. PI for Simons Collaboration Grant-351813 2015-2020 35K USD (voluntarily declined after 1st year)
  3. NSF DMS 1643027, PI: Rinat Ridem, 4000 USD, awarded 2017 for participating IHP trimester Combinatorics and Interactions
  4. Co-PI for NSF conference grant DMS-1823060 2018-2020 49998 USD
  5. PI for Simons Collaboration Grant-638143 2019-2024 42K USD

Education and Employments


  1. 2006-2011, Ph.D student, department of mathematics, Brown University. Advisor: Richard Kenyon


  1. 2011-2014, research fellow, department of pure mathematics and mathematical statistics, University of Cambridge, UK
  2. 2014-present, assistant professor, department of mathematics, University of Connecticut