I am an assistant professor in department of mathematics, University of Connecticut. I am also a researcher in probability theory and mathematical physics.
Research
Publications
 Local statistics of realizable vertex models, Commun.Math.Phys, 304, 723763(2011), arxiv
 Critical temperature of periodic Ising models, Commun.Math.Phys, 315, 337381(2012), arxiv
 12 model, dimers, and clusters, Electron. J. Probab. 19 (2014), no. 48, 128, journal
 Selfavoiding 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 12 model, Electron. Commun. Probab. 19 (2014), no. 23, 18 journal
 Bounds on connective constants of regular graphs, with Geoffrey Grimmett, Combinatorica, 35 (2015), no. 3, 279294 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); pdf
 Conformal invariance of dimer heights on isoradial double graphs, ANNALES DE L’INSTITUT HENRI POINCARÉ D, vol. 4 (2017), 273307, pdf
 Critical surface of the hexagonal polygon model, with Geoffrey Grimmett, Journal of Statistical Physics 163 (2016), no. 4, 733–753, arxiv
 The 12 model, with Geoffrey Grimmett, Contemporary Mathematics 696 (2017) , 139152, 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 12 model, with Geoffrey Grimmett, Int. Math. Res. Not. IMRN, no. 2 (2018), 6617–6672, arxiv
 Selfavoiding walks and connective constants, with Geoffrey Grimmett, arxiv, to appear in Festschrifts for Charles Newman’s 70th birthday, edited by Vladas Sidoravicius
 Selfavoiding walks and amenability, with Geoffrey Grimmett, the Electronic Journal of Combinatorics, Volume 24, Issue 4 (2017), Paper #P.4.38, arxiv,
 Locality of connective constants, with Geoffrey Grimmett, arxiv, Discrete Mathematics, Volume 341, Issue 12, December 2018, Pages 34833497
 Constrained percolation in two dimensions, with Alexander Holroyd, arxiv, ANNALES DE L’INSTITUT HENRI POINCARÉ D, journal
 Weighted selfavoiding walks, with Geoffrey Grimmett, arxiv, Journal of Algebraic Combinatorics (JACO), journal
 Mixing time of Markov chains for the 12 model, arxiv, Journal of Statistical Physics, 176(6)(2019), 15261560
 Cubic graphs and the golden mean, with Geoffrey Grimmett, arxiv, Discrete Mathematics, journal
Preprints
 Positive speed selfavoiding walks on graphs with more than one end, arxiv
 Constrained percolation, Ising model and XOR Ising model on planar lattices, arxiv
 Limit shape and height fluctuations of random perfect matchings on squarehexagon lattices, with Cédric Boutillier, arxiv
 Schur function at generic points and limit shape of perfect matchings on contracting square hexagon lattices with piecewise boundary conditions, arxiv
 Fluctuations of dimer heights on contracting squarehexagon lattices, arxiv, pdf
 Asymptotics of Schur functions on almost periodic partitions, arxiv, pdf

Exact recovery of community detection in kpartite graph models, arxiv, pdf
Grants
 PI for NSF DMS1608896 20162020 100K USD
 PI for Simons Collaboration Grant351813 20152020 35K USD (voluntarily declined after 1st year)
 NSF DMS 1643027, PI: Rinat Ridem, 4000 USD, awarded 2017 for participating IHP trimester Combinatorics and Interactions
 CoPI for NSF conference grant DMS1823060 20182020 49998 USD
 PI for Simons Collaboration Grant638143 20192024 42K USD
Education and Employments
Education
 20062011, Ph.D student, department of mathematics, Brown University. Advisor: Richard Kenyon
Employments
 20112014, research fellow, department of pure mathematics and mathematical statistics, University of Cambridge, UK
 2014present, assistant professor, department of mathematics, University of Connecticut