I am interested in probability and mathematical physics. I mainly work on random two dimensional geometry.
I am co-organising the
Hong Kong Probability Seminar.
Curriculum Vita
| 2025 - |
Associate Professor, Department of Mathematics, University of Hong Kong |
| 2022 - 2025 |
Assistant Professor, Department of Mathematics and Department of Physics, City University of Hong Kong |
| 2020 - 2022 |
Chargée de recherche au CNRS, Laboratoire de Mathématiques d'Orsay (LMO), Université Paris-Saclay |
| 2017 - 2020 |
Junior Research Fellow at Churchill college and research associate at University of Cambridge |
| 2013 - 2017 |
PhD at ETH Zürich under the supervision of Wendelin Werner |
Publications
Preprints
- Arm events in critical planar loop soups (with Y. Bi, Y. Gao, and P. Nolin). 20 pages. arXiv
- Non-existence of several random fractals in the Brownian motion and the Brownian loop soup (with Y. Gao, X. Li and R. Liu). 46 pages. arXiv
- Up-to-constants estimates on four-arm events for simple conformal loop ensemble (with Y. Gao and P. Nolin). 36 pages. arXiv
- Percolation of discrete GFF in dimension two II. Connectivity properties of two-sided level sets (with Y. Gao and P. Nolin). 71 pages. arXiv
- Percolation of discrete GFF in dimension two I. Arm events in the random walk loop soup (with Y. Gao and P. Nolin). 50 pages. arXiv
- The height gap of planar Brownian motion is 5/π (with A. Jego and T. Lupu). 23 pages. arXiv
- Backbone exponent for two-dimensional percolation (with P. Nolin, X. Sun and Z. Zhuang). 60 pages. arXiv
NB: Reported in Quanta magazine and Journal club for condensed matter physics.
- Conformal invariance of double random currents II: tightness and properties in the discrete (with H. Duminil-Copin and M. Lis). 53 pages. arXiv
Accepted and published papers
- Conformally invariant fields out of Brownian loop soups (with A. Jego and T. Lupu). 84 pages. arXiv
Mem. Am. Math. Soc., to appear.
- Multiple points on the boundaries of Brownian loop-soup clusters (with Y. Gao and X. Li). 55 pages. arXiv
Ann. Probab., to appear.
- Crossing exponent in the Brownian loop soup (with A. Jego and T. Lupu). arXiv
Ann. Probab., November 2025, 53(6): 2309-2353.
- Geodesics in the Brownian map: Strong confluence and geometric structure (with J. Miller). 97 pages. arXiv
Mem. Am. Math. Soc., November 2025, Volume 315, Number 1602.
- Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?") (with M. Lehmkuehler and W. Werner). 31 pages. arXiv
Probab. Th. Relat. Fields., September 2025, dedicated to Geoffrey Grimmett.
- Backbone exponent and annulus crossing probability for planar percolation (with P. Nolin, X. Sun and Z. Zhuang). arXiv
Phys. Rev. Lett., March 2025, Volume 134, Editors' suggestion.
- Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra (with M. Gordina and Y. Wang). arXiv
J. Math. Pures Appl., March 2025, Volume 195, pp 24.
- Conformal invariance of double random currents I: identification of the limit (with H. Duminil-Copin and M. Lis). arXiv
Proc. London Math. Soc., January 2025, Volume 130, Issue 1, pp 68.
- Free boundary dimers: random walk representation and scaling limit (with N. Berestycki and M. Lis). arXiv
Probab. Th. Relat. Fields., August 2023, Volume 186, pp 735-812.
- Conformal invariance of CLEκ on the Riemann sphere for κ∈(4,8) (with E. Gwynne and J. Miller). arXiv
Int. Math. Res. Not., December 2021, Volume 2021, Issue 23, Pages 17971-18036.
- Uniqueness of the welding problem for SLE and Liouville quantum gravity (with O. McEnteggart and J. Miller). arXiv
J. Inst. Math. Jussieu., May 2021, Volume 20, Issue 3, pp 757-783.
- Generalized disconnection exponents. arXiv
Probab. Th. Relat. Fields., February 2021, Volume 179, pp 117-164.
NB: Contains in Section 1.4 a clarification about the terminology 'hypergeometric SLE' inappropriately used in other works (e.g. 1, 2, 3) and talks (e.g. Oberwolfach p1640). Remark 6.5 has been added in this version for the reader's convenience.
- The geodesics in Liouville quantum gravity are not Schramm-Loewner evolutions (with J. Miller). arXiv
Probab. Th. Relat. Fields., August 2020, Volume 177, pp 677-709.
- Decomposition of Brownian loop-soup clusters (with W. Werner). arXiv
J. Europ. Math. Soc., Volume 21, Issue 10 (2019), pp 3225-3253.
- Conditioning a Brownian loop-soup cluster on a portion of its boundary. arXiv
Ann. de Inst. H. Poincaré (B), January 2019, Volume 55, Number 1 (2019), pp 314-340.
- The law of a point process of Brownian excursions in a domain is determined by the law of its trace (with W. Werner). arXiv
Electron. J. Probab., December 2018, Volume 23, paper no. 128, pp 23.
- Conformal restriction: The trichordal case. arXiv
Probab. Th. Relat. Fields., August 2018, Volume 171, Issue 3-4, pp 709-774.
- Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines (with W. Werner). arXiv
Comm. Math. Phys., July 2018, Volume 361, Issue 1, pp 53-80.
Coauthors
Nathanaël Berestycki, Yijie Bi, Hugo Duminil-Copin, Yifan Gao,
Maria Gordina,
Ewain Gwynne,
Antoine Jego,
Matthis Lehmkuehler,
Xinyi Li,
Marcin Lis, Runsheng Liu,
Titus Lupu,
Olivier McEnteggart, Jason Miller,
Pierre Nolin,
Xin Sun,
Yilin Wang,
Wendelin Werner,
Zijie Zhuang.
Grants
- GRF grant from the RGC of the Hong Kong SAR, project CityU11305823 (2023-2026). Brownian loop soup and random conformal geometry.
- Young Scientist Program from MOST, National Key R&D program of China No. 2023YFA1010700 (2023-2028). Joint with Xiao Ren, Xin Sun, Baojun Wu (Peking University).
- GRF grant from the RGC of the Hong Kong SAR, project CityU 11308624 (2024-2027). Geodesics in random metric spaces.
- GRF grant from the RGC of the Hong Kong SAR, project CityU11305825 (2025-2028). Conformal restriction, SLE loops, Brownian loop soups.
Mentoring
- From August 2022 to December 2025, I have mentored Yifan Gao (jointly with Pierre Nolin) as a Postdoc in City University of Hong Kong. He is currently an Assistant Professor at the Institute for Theoretical Sciences, Westlake University.
- In the academic year 2021 - 2022, I have mentored the M2 thesis (2nd year master) of Tiancheng He, who is a student from ENS Ulm, and has attended the master program M2 Mathématiques de l'aléatoire in Université Paris-Saclay. The thesis is entitled Geometric properties of some models in Brownian geometry.
Some recorded talks
Seminar talks
- Conformally invariant fields out of Brownian loop soups (IAS). Video.
- Conformal invariance of critical double random currents (Percolation Today). Joint talk with Marcin Lis. Video.
- Geodesics in the Brownian map: Strong confluence and geometric structure (Random Geometry and Statistical Physics). Video and Slides.
- Generalized disconnection exponents for Brownian loop-soups (Probability Victoria Seminar). Video and Slides.
Mini-courses
Teaching
The University of Hong Kong
- Spring 2026: MATH6216 -- Stochastic Processes
City University of Hong Kong
- Summer 2025: PHY5502 -- Frontiers in Physics, contributing one lecture
- Spring 2025: PHY2100 -- Mathematical Methods in Physics, jointly with Zhedong Zhang
- Spring 2024: MA1301 -- Enhanced Calculus and Linear Algebra
- Spring 2024: PHY2100 -- Mathematical Methods in Physics, jointly with Zhedong Zhang
- Fall 2023: MA3523 -- Introduction to Abstract Algebra
- Spring 2023: PHY2100 -- Mathematical Methods in Physics, jointly with Zhedong Zhang
- Spring 2023: MA2001 -- Multivariable calculus and Linear Algebra, jointly with Daniel Ho
- Fall 2022: MA3523 -- Introduction to Abstract Algebra
University of Cambridge
Academic year 2018 - 2019:
ETH Zürich
Teaching assistant (TA) or coordinator for various undergraduate and graduate mathematics courses in ETH Zürich:
Miscellaneous
