Gourab Ray

Gourab Ray
Position
Assistant Professor
Mathematics and Statistics
Credentials

PhD U of British Columbia, Vancouver.

Contact
Office: DTB A440

My research interest mainly lies in the intersection of probability theory, geometry and mathematical physics. Broadly, I look for large scale patterns in problems related to certain stochastic models with motivation coming from mathematical physics in most cases.

More precisely, I am interested in various topics which include random planar maps, random walks, lattice spin models, dimer model, Gaussian free field and its properties and Liouville quantum gravity.

More recently I have been interested in establishing universal Gaussian free field like behaviour on dimer models on a large class of graphs and surfaces.

Interests

  • Probability theory
  • Random planar maps
  • Random walks
  • Ising model and FK random cluster model
  • dimer model
  • Gaussian free field and its properties
  • Liouville quantum gravity.

Selected Publications

  • Unimodular hyperbolic triangulations: circle packing and random walk. (with Omer Angel, Tom Hutchcroft and Asaf Nachmias). In Inventiones Mathematicae.
  • Classification of half planar maps (with Omer Angel) In Ann. Probab. Volume 43, Number 3 (2015), 1315-1349.
  • Dimers and imaginary geometry (with Nathanael Berestycki and Benoit Laslier). Ann. Probab. In Press.
  • Hyperbolic and parabolic unimodular random maps (with Omer Angel, Tom Hutchcroft and Asaf Nachmias). GAFA, 06, 229-268, 2018
  • A characterization of the Gaussian free field. (with N. Berestycki and B. Laslier). PTRF. In press.