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.

## Research

Publications

- Local statistics of realizable vertex models, Commun.Math.Phys, 304, 723-763(2011), arxiv
- Critical temperature of periodic Ising models, Commun.Math.Phys, 315, 337-381(2012), arxiv
- 1-2 model, dimers, and clusters, Electron. J. Probab. 19 (2014), no. 48, 1-28, journal
- Self-avoiding walks and the Fisher transformation, with Geoffrey Grimmett, Electron.J.Combin.,20 (2013), Paper P47, 14 pp arxiv
- Uniqueness of the infinite homogeneous cluster in the 1-2 model, Electron. Commun. Probab. 19 (2014), no. 23, 1-8 journal
- Bounds on connective constants of regular graphs, with Geoffrey Grimmett, Combinatorica, 35 (2015), no. 3, 279-294 arxiv
- Strict inequalities for connective constants of transitive graphs, with Geoffrey Grimmett, SIAM J. Discrete Math. 28 (2014), no. 3, 1306–1333, arxiv
- Spectral curve of periodic Fisher graphs, Journal of Mathematical Physics 55, 123301 (2014), 25pp; pdf
- Conformal invariance of dimer heights on isoradial double graphs, ANNALES DE L’INSTITUT HENRI POINCARÉ D, vol. 4 (2017), 273-307, pdf
- Critical surface of the hexagonal polygon model, with Geoffrey Grimmett, Journal of Statistical Physics 163 (2016), no. 4, 733–753, arxiv
- The 1-2 model, with Geoffrey Grimmett, Contemporary Mathematics 696 (2017) , 139-152, arxiv
- Connective constants and height functions for Cayley graphs, with Geoffrey Grimmett, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5961–5980, arxiv
- Critical surface of the 1-2 model, with Geoffrey Grimmett, Int. Math. Res. Not. IMRN, no. 2 (2018), 6617–6672, arxiv
- 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
- Self-avoiding walks and amenability, with Geoffrey Grimmett, the Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), Paper #P.4.38, 24pp, arxiv,
- Locality of connective constants, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 341, Issue 12, December 2018, Pages 3483-3497
- 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
- Weighted self-avoiding walks, with Geoffrey Grimmett, arxiv, Journal of Algebraic Combinatorics (JACO),
**52**, 77–102(2020), journal - Mixing time of Markov chains for the 1-2 model, arxiv, Journal of Statistical Physics, 176(6)(2019), 1526-1560
- Cubic graphs and the golden mean, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 343, Issue 1, January 2020, 111638, 32pp, journal
- Constrained percolation, Ising model and XOR Ising model on planar lattices, Random Structures and Algorithms 57 (2020), no. 2, 474–525., arxiv
- 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
- Asymptotics of Schur functions on almost staircase partitions, Electronic Communications in Probability, Volume 25 (2020), paper no. 51, 13 pp, arxiv, pdf
- Limit shape and height fluctuations of random perfect matchings on square- hexagon lattices, with Cédric Boutillier, ANNALES DE L’INSTITUT FOURIER, accepted, arxiv
- 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
- Exact recovery of community detection in k-partite graph models, Journal of Statistical Physics, volume 182, Article number: 6 (2021), arxiv,
- Limit shape of perfect matchings on contracting bipartite graphs, International Mathematics Research Notices, accepted, pdf
- 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
- Asymptotics of dimer coverings on rail-yard graphs, International Mathematics Research Notices, accepted, arxiv
- Brownian snails with removal: pandemics in a diffusing population, with Geoffrey Grimmett, Electronic Journal of Probability, accepted, arxiv
- Fluctuations of dimer heights on contracting square-hexagon lattices, pdf, AIHP D, accepted,
- On the coercivity condition in the learning of interacting particle systems, with Fei Lu, pdf, Stochastics and Dynamics, accepted

Preprints

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

Awards

Simons Visiting Professorship, Oberwolfach, Germany, 2020

Research Membership, MSRI, Berkeley, Fall 2021

Grants

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

## Education and Employments

Education

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

Employments

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