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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

2022 -	Assistant Professor, Department of Mathematics and Department of Physics, City University of Hong Kong
2020 -	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

• Backbone exponent and annulus crossing probability for planar percolation (with P. Nolin, X. Sun and Z. Zhuang). 5 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
  
• Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra (with M. Gordina and Y. Wang). 24 pages. arXiv
  
• Parity questions in critical planar Brownian loop-soups (or "where did the free planar bosons go?") (with M. Lehmkuehler and W. Werner). 29 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.
  
• Conformally invariant fields out of Brownian loop soups (with A. Jego and T. Lupu). 84 pages. arXiv
  
• Crossing exponent in the Brownian loop soup (with A. Jego and T. Lupu). 34 pages. arXiv
  
• Multiple points on the boundaries of Brownian loop-soup clusters (with Y. Gao and X. Li). 55 pages. arXiv
  
• Conformal invariance of double random currents I: identification of the limit (with H. Duminil-Copin and M. Lis). 64 pages. arXiv
  
• 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

• Geodesics in the Brownian map: Strong confluence and geometric structure (with J. Miller). 97 pages. arXiv
  Mem. Am. Math. Soc., to appear.
• 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 CLE_κ 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, Hugo Duminil-Copin, Yifan Gao, Maria Gordina, Ewain Gwynne, Antoine Jego, Matthis Lehmkuehler, Xinyi Li, Marcin Lis, 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.

Mentoring

Starting from August 2022, I am mentoring Yifan Gao (jointly with Pierre Nolin) as a Postdoc in City University of Hong Kong. He has obtained his PhD in Peking 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

• Geodesics in the Brownian map: Strong confluence and geometric structure (mini-course at Peking University and BICMR). Lecture 1, Lecture 2, Lecture 3 and Notes.
• Mini-course on the Brownian loop-soups (MSRI summer school Random Conformal Geometry). Lecture 1, Lecture 2, Lecture 3 and Notes.

Teaching

City University of Hong Kong

• 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:

• Lecturing (Michaelmas term) and examining (Easter term) Advanced probability, jointly with James Norris.
• Supervision of Applied probability in Lent term.

ETH Zürich

Teaching assistant (TA) or coordinator for various undergraduate and graduate mathematics courses in ETH Zürich:

• Spring 2014: Wahrscheinlichkeit & Statistik
• Fall 2014: Mathematik III
• Spring 2015: Mathematik II (incl. coordination)
• Spring 2016: Brownian motion and Stochastic Calculus (incl. coordination)

Miscellaneous

• My Google scholar profile
• My City University staff profile
• My interviews: INSMI, SwissMAP
• Some links: LMO, INSMI, CNRS, Math in France, Maths en liberté