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, 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); 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, arxiv
- Self-avoiding walks and connective constants, with Geoffrey Grimmett, arxiv, to appear in Festschrifts for Charles Newman’s 70th birthday, edited by Vladas Sidoravicius
- Self-avoiding 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 3483-3497

Preprints

- Constrained percolation in two dimensions, with Alexander Holroyd, arxiv
- Cubic graphs and the golden mean, with Geoffrey Grimmett, arxiv
- Positive speed self-avoiding walks on graphs with more than one end, arxiv
- Mixing time of Markov chains for the uniform 1-2 model, arxiv
- Constrained percolation, Ising model and XOR Ising model on planar lattices, arxiv
- Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices, with Cédric Boutillier, arxiv
- Weighted self-avoiding walks, with Geoffrey Grimmett, 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 square-hexagon lattices, arxiv, pdf

Grants

- PI for NSF DMS-1608896 2016-2019 100K 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 2018-2019 49998 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