Research

 

My research is related to complex analysis, probability theory and mathematical physics.

The main object of my studies is the behavior of planar models of statistical physics.

 
Papers:
  • “Dimers in piecewise Temperleyan domains”, Commun. Math. Phys. (2018) 359 : 189, 10.1007/s00220-018-3113-0 (arXiv:1611.07884)
  • “Dominos in hedgehog domains”, Ann. Inst. Henri Poincare Comb. Phys. Interact. Electronically published on December 10, 2020, doi: 10.4171/AIHPD/96 (arXiv:1803.10012)
  • joint with R. Kenyon, W. Lam and S. Ramassamy, “Dimers and circle patterns”, (to appear in Annales Scientifiques de l'ENS) arXiv:1810.05616
  • joint with D. Chelkak and B. Laslier “Dimer model and holomorphic functions on t-embeddings of planar graphs”, arXiv:2001.11871
  • joint with A. Ahn and R. Van Peski “​Lozenge tilings and the Gaussian Free Field on a cylinder”,​ arXiv:2105.00551 
  • joint with D. Chelkak and B. Laslier​ “Bipartite dimer model: perfect t-embeddings and Lorentz-minimal surfaces”​, arXiv:2109.06272.
  • “​Dimer model on a cylinder and Lorentz-minimal cusps”, In preparation, 2021

 

Slides: