Assistant Professor

Department of Mathematics and Department of Physics

City University of Hong Kong

weiqian at cityu dot edu dot hk

Currently on leave from the position

Chargée de recherche, CNRS

Laboratoire de Mathématiques d'Orsay (LMO)

Université Paris-Saclay

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.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 |

- 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). 63 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

- 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.

Nathanaël Berestycki, Hugo Duminil-Copin, Yifan Gao, Ewain Gwynne, Antoine Jego, Matthis Lehmkuehler, Xinyi Li, Marcin Lis, Titus Lupu, Olivier McEnteggart, Jason Miller, Pierre Nolin, Xin Sun, Wendelin Werner, Zijie Zhuang.

Starting from August 2022, I am mentoring (jointly with Pierre Nolin) Yifan Gao 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*.

- 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.

- 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.

- Spring 2023: 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

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

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

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