Research

List of coauthors: Juhan Aru, Alexander Bufetov, Colin Guillarmou, Antoine Jego, Janne Junnila, Antti Kupiainen, Yanqi Qiu, Rémi Rhodes, Vincent Vargas, Mo Dick Wong, Baojun Wu.

• Random conformal geometry and string theory I.
  w/ A. Jego, X. Sun, B. Wu. In preparation.

• The conformal blocks of Liouville CFT.
  w/ C. Guillarmou, A. Kupiainen, R. Rhodes. In preparation.

• On Schramm-Loewner evolutions, conformal restriction, and Virasoro unitarising measures. [pdf]

• Unitarising measures for Kac-Moody algebras. [arXiv]

• Conformal welding and the matter-Liouville-ghost factorisation.
  w/ A. Jego. [arXiv]

• The CFT of SLE loop measures and the Kontsevich-Suhov conjecture.
  w/ A. Jego. [arXiv]

• The semigroup of annuli in Liouville CFT.
  w/ C. Guillarmou, A. Kupiainen, R. Rhodes. [arXiv]

• Noise-like analytic properties of imaginary chaos.
  w/ J. Aru, A. Jego, J. Junnila.
  Electron. J. Probab.  [arXiv] [Journal]

• Higher equations of motion at level 2 in Liouville CFT.
  w/ B. Wu. Probab. Math. Phys. (to appear) [arXiv] 

• Irreducibility of Virasoro representations in Liouville CFT.
  w/ B. Wu. Ann. Probab. (to appear) [arXiv]

• The Virasoro structure and scattering matrix for Liouville CFT.
  w/ C. Guillarmou, A. Kupiainen, R. Rhodes, V. Vargas.
  Probab. Math. Phys. [arXiv] [Journal]

• On the log-regularity of SLE4. [arXiv]

• Fusion asymptotics for Liouville correlation functions.
  w/ M. D. Wong.
  Ann. Inst. H. Poincaré Probab. Statist. [arXiv] [Journal]

• A survey of determinantal point processes.
  w/ A. I. Bufetov & Y. Qiu.
  Adv. Stud. Pure Math. [Journal]

• Modular bootstrap agrees with the path integral in the large moduli limit.
  Electron. J. Probab. [arXiv] [Journal]