I have a broad interest in Differential Geometry. During my undergraduate years, I had a taste of Geometric Analysis and Microlocal Analysis. My current research focuses on the geometric aspects of Conformal Field Theory, in particular its connections with Teichmüller Theory.
Over the past decade, major breakthroughs have been made on the mathematical formulation of Quantum Field Theory (of which Conformal Field Theory is a special case) via probabilistic methods. This progress has brought together ideas from probability, geometry, algebra, and mathematical physics, and is the subject of the Simons Collaboration on Probabilistic Paths to Quantum Field Theory. Within this collaboration, I work with probabilists and study the geometric aspects of the problems.
Preprints
- (Joint with Guillaume Baverez, Colin Guillarmou, Antti Kupiainen, and Rémi Rhodes) Virasoro Conformal Blocks and modular functor from Liouville CFT, arXiv:2610.03540.
- (Joint with Yang Xiao) Boundary Compactified Imaginary Liouville Theory, arXiv:2511.11269.
Theses
- Master’s thesis (supervised by Colin Guillarmou): Teichmüller space and Weil–Petersson potentials.
- Bachelor’s thesis (supervised by Long Jin): The Selberg zeta function of a convex cocompact hyperbolic surface (in Chinese).
Talks
October 7, 2025: I gave a short talk at the conference CFT: Algebraic, Topological and Probabilistic Approaches in Conformal Field Theory at the Institut Pascal at Université Paris-Saclay.
Title: Introduction to Compactified Imaginary Liouville Theory. Slides.
- August 9 & 23, 2025: I gave two talks at the Math-Physics Paris Seminar (online).
July 1, 2025: I gave a short talk at the Reunion Conference at Tsinghua University.
Title: Segal’s axioms in Conformal Field Theory. Slides (in Chinese).
June 13, 2025: I gave a short talk at the Journée de la Fondation CFM at the Paris office of the CFM.
Title: Liouville conformal blocks and representations of the mapping class group. Slides.
Attended Conferences
- June 2026: I attended the Peking Summer Program in Probability: Interaction with QFT at Peking University.
- August 2025: I attended the conference Intersections of Topological Recursion, Conformal Field Theory, and Random Geometry at the SwissMAP Research Station (SRS) in Les Diablerets.
- May–June 2025: I attended the Trimester Program: Probabilistic Methods in Quantum Field Theory at the Hausdorff Research Institute for Mathematics (HIM) at Universität Bonn.
- November 2024: I attended the workshop Probabilistic Methods in Conformal Field Theory at the Centre International de Rencontres Mathématiques (CIRM) at Aix-Marseille Université.
Trivia
My avatar is taken from the cover of Analysis I by Herbert Amann and Joachim Escher. In 2017, I started out learning college-level mathematics through Thomas’ Calculus, but shortly afterwards I stumbled upon this introductory text on mathematical analysis, and it was not long before I was struck with awe by how modern mathematics manages to express the same theory in such compact and elegant language. The book quickly became my favorite, and I started using its cover—a weirdly cute cat-looking illustration of metric spaces—as my avatar online.