My research is focused on probability theory and mathematical physics. I work on Conformal Field Theory via a probabilistic approach based on Gaussian Multiplicative Chaos. More recently, I’m working on supersymmetric methods in probability.

Publications

[14] Royen’s proof of the Gaussian correlation inequality as a supersymmetric dimensional reduction
Preprint (2026+)
– Yichao Huang

[13] The $H^{2|2}$ monotonicity theorem revisited
Preprint (2026+)
– Yichao Huang, Jinglin Wang, Xiaolin Zeng

[12] Continuous Space Scaling Limit of the $H^{2|2}$ Model on the Dyson Hierarchical Lattice
Preprint (2025+)
– Yichao Huang, Jinglin Wang, Xiaolin Zeng

[11] The left tail of the subcrticial derivative martingale in multiplicative cascades
ArXiv preprint (2025+)
– Xinxin Chen, Yichao Huang, Heng Ma

[10] Tail Profile of Bulk Gaussian Multiplicative Chaos Measures II: the Exact Scale-invariant Case
ArXiv Preprint (2025+)
– Yichao Huang, Youtao Liu

[9] Reinforced loop soup via Wilson’s algorithm
Annales Henri Poincaré (2026)
– Yinshang Chang, Yichao Huang, Dang-Zheng Liu, Xiaolin Zeng

[8] Bulk/boundary quotients of Gaussian multiplicative chaos measures I: positive moment bounds
Electronic Journal of Probability (2026)
– Yichao Huang

[7] Random analytic functions via Gaussian multiplicative chaos
Arkiv för Matematik (2025)
– Yichao Huang, Eero Saksman

[6] Moment bounds for Gaussian multiplicative chaos with higher-dimensional singularities
Annales de l’Institut Henri Poincaré (B) Probabilités et Statistiques (2025)
– Yichao Huang

[5] [Ward identities in the $\mathfrak{sl}{3}$ Toda conformal field theory](https://arxiv.org/abs/2105.01362)
_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