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.

AI Declaration

I use AI tools for literature search, proofreading, and language polishing. I also interact with AI tools to help me understand mathematical statements in papers I read.

I do not use AI to generate mathematical content or proofs, nor do I ask AI to originate research ideas. I will not sign, co-sign, or submit any paper in which an AI model has contributed an essential step in the mathematical argument.

This policy reflects my current practice and will be reviewed every six months. (This version: September 2026)

Publications

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

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

[12] Continuous Space Scaling Limit of the $H^{2|2}$ Model on the Dyson Hierarchical Lattice
ArXiv 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
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