My research is focused on probability theory and mathematical physics. I’m currently working on Conformal Field Theory via a probabilistic approach based on Gaussian Multiplicative Chaos.

Publications

[7] Random analytic functions via Gaussian multiplicative chaos
ArXiv preprint (2023+)
– Yichao Huang, Eero Saksman

[6] Moment bounds for Gaussian multiplicative chaos with higher-dimensional singularities
ArXiv preprint (2023+)
– Yichao Huang

[5] Ward identities in the $\mathfrak{sl}_{3}$ Toda conformal field theory
Communications in Mathematical Physics (2022)
– Baptiste Cerclé, Yichao Huang

[4] Another probabilistic construction of $\Phi^{2n}$ in dimension 2
Electronic Communications in Probability (2021)
– Yichao Huang

[3] Analytic continuation of Liouville theory: the pencil region
ArXiv preprint (2018+)
– Yichao Huang

[2] Two perspectives of the 2D unit area quantum sphere
Communications in Mathematical Physics (2017)
– Juhan Aru, Yichao Huang, Xin Sun

[1] Liouville Quantum Gravity on the unit disk
Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques (2018)
– Yichao Huang, Rémi Rhodes, Vincent Vargas