About Me

I am a Full Professor of Mathematics at Beijing International Center for Mathematical Research, Peking University.

I got my bachelor degree from Peking University and my Ph.D. from MIT. I was a postdoc at Columbia University as a Simons Junior Fellow, and then a faculty member at University of Pennsylvania, before returning to Peking University in 2023.

My research area is probability theory and mathematical physics. My Ph.D. training focused on 2D random geometry and statistical physics, topics including Schramm-Loewner evolution, Gaussian free field, Liouville quantum gravity, random planar map, percolation, and uniform spanning tree. Since then I started to explore related areas in mathematical physics, such as conformal field theory and string theory. I am fascinated by the interplay between different mathematical areas, and between mathematics and physics.

Here is my CV .

In 2025 fall I taught a topic course jointly with Weijun Xu, where my topic is probabilitic approach to quantum field theory.

I am a collaborator in the Simons Collaboration: Probabilistic Paths to Quantum Field Theory. During June 1-19, 2026, there will be a program in Peking University on this topic, as one of the many exciting Collaboration events in the coming years. Program website.

Contact Information

Email: xinsun[at]bicmr.pku.edu.cn

Office: 78302

Mailing Address

No. 78 Jingchun Rd.
Peking University
No. 5 Yiheyuan Road
Beijing 100871, China

Links

Selected Publications

Turaev-Viro invariant from the modular double of $\mathrm U_q\mathfrak{sl}(2,\mathbb R)$
Tianyue Liu, Shuang Ming, Xin Sun, Baojun Wu, and Tian Yang. (2025) ArXiv

Integrability of the conformal loop ensemble: imaginary DOZZ formula and beyond
Morris Ang, Gefei Cai, Baojun Wu, and Xin Sun. (2024) ArXiv

Backbone exponent for two-dimensional percolation
Pierre Nolin, Wei Qian, Xin Sun, and Zijie Zhuang. (2023) ArXiv

The moduli of annuli in random conformal geometry
Morris Ang, Guillaume Remy and Xin Sun. Ann. Sci. Éc. Norm. Supér., 58 (4), no. 4, 1037–1087 (2026). ArXiv

Backbone exponent and annulus crossing probability for planar percolation
Pierre Nolin, Wei Qian, Xin Sun, and Zijie Zhuang. Physical Review Letters, 134, 117101 (2025). Journal ArXiv

FZZ formula of boundary Liouville CFT via conformal welding
Morris Ang, Guillaume Remy and Xin Sun. Journal of the EMS, Vol. 27, No. 3, 1209--1266 (2025). Journal ArXiv

Permutons, meanders, and SLE-decorated Liouville quantum gravity
Jacopo Borga, Ewain Gwynne, and Xin Sun. Journal of the EMS, 2025. Journal ArXiv

Probabilistic conformal blocks for Liouville CFT on the torus
Promit Ghosal, Guillaume Remy, Xin Sun and Yi Sun. Duke Math. J., Vol. 173, No. 6, 1085–1175 (2024). Journal ArXiv

Integrability of SLE via conformal welding of random surfaces
Morris Ang, Nina Holden and Xin Sun. Commun. Pure Appl. Math., Vol. 77, No. 5, 2651–2707 (2024). Journal ArXiv

Convergence of uniform triangulations under the Cardy embedding
Nina Holden and Xin Sun. ACTA Mathematica, Vol. 230, No. 6, 93-203 (2023). Journal ArXiv

Percolation on triangulations: a bijective path to Liouville quantum gravity
Olivier Bernardi, Nina Holden and Xin Sun. Memoirs of the AMS, 2023. Journal ArXiv

Almost sure multifractal spectrum of SLE
Ewain Gwynne, Jason Miller and Xin Sun. Duke Math. J., Vol. 167, No. 6, 1099-1237 (2018). Journal ArXiv

Survey Articles

Liouville quantum gravity: from random planar maps to conformal field theory
Nina Holden and Xin Sun. Proceedings of ICM 2026. ArXiv

Mating of trees for random planar maps and Liouville quantum gravity: a survey
Ewain Gwynne, Nina Holden and Xin Sun. Panoramas et Synthèses, Vol. 59, Soc. Math. France, Paris, 2023. ArXiv

Random planar geometry through the lens of uniform spanning tree.
Xin Sun. Bernoulli News, 26(2):10–13, 2019. Journal

Fractional Gaussian field: a survey
Asad Lodhia, Scott Sheffield, Xin Sun and Samuel Watson. Probability Surveys, Vol 13(2016), 1-56. Journal ArXiv

Full Publication List is available at this PDF.