Jiaqi Liu

Research interests

I work in probability theory. I am broadly interested in random models with branching structures that have motivations from physics or biology, including branching Brownian motion and coalescence, population models and conformal loop ensembles. Here is my Google Scholar profile.

Manuscripts in Preparation

• Joint distribution  of extremal distances between CLE loops, with Nina Holden and Xin Sun. In preparation

Papers

• Inverting the operation of conditioning a branching process on extinction, with Ewain Gwynne, arXiv:2411.06301, 2024. Paper

• The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift, with Julien Berestycki, Bastien Mallein and Jason Schweinsberg, arXiv:2409.08789, 2024. Paper

• Phase transition of the consistent maximal displacement of branching Brownian motion, with Julien Berestycki, Bastien Mallein and Jason Schweinsberg, arXiv: 2406.04526, 2024. Paper

• Improved critical drift estimates for the frog model on trees, with Poly Mathews Jr., Electronic Communications in Probability, 2024. Paper  (From Polymath Jr. Undergraduate Program)

• Critical drift estimates for the frog model on trees, with Emma Bailey and Matthew Junge, Electronic Journal of Probability, 2024. Paper

• Particle configurations for branching Brownian motion with an inhomogeneous branching rate, with Jason Schweinsberg, Latin American Journal of Probability and Mathematical Statistics, 2023. Paper

• A Yaglom type asymptotic result for subcritical branching Brownian motion with absorption, Stochastic Processes and their Applications, 2021. Paper

Invited Talks

• April 2025  UNC-Chapel Hill Statistics & Operations Research IDEAS Seminar

• Feb 2025   University of Cincinnati Probability Seminar

• Sep 2024   AMS Fall Central Sectional Meeting, Special Session on Applications of Probability in Biology

• Jul 2024     Two-Dimensional Random Geometry Workshop, IMSI, Slides

• Feb 2024    Purdue Probability Seminar 

• Nov 2023   UChicago Probability and Statistical Physics Seminar

• Jul 2023      Hua Loo-Keng Applied Mathematics Forum for Junior Researchers, Chinese Academy of Sciences

• Apr 2023    UVA Probaiblity Seminar

• Feb 2023    Lehigh Prob/Stat Seminar

• Nov 2022   17th Workshop on Markov Processes and Related Topics, Beijing Normal University

• Nov 2022   CUNY Probability Seminar, Slides

• Oct 2022    Penn/Temple Probability Seminar

• April 2022  THU-PKU-BNU joint probability webinar

• Feb 2022    AWM Colloquium, University of California San Diego, Slides

• Jun 2021    7th Workshop on Branching Markov Processes and Relative Topics, Peking University and Beijing Normal University, Slides

• Mar 2021   Probability Seminar, Beijing Normal University, Slides

Contributed Talks and Posters

• Nov 2024    Random Dynamical Systems, with Applications in Biology, NITMB, Lightning talk

• May 2024   6th Cincinnati Symposium on Probability, Poster session, Poster session, Poster

• May 2022  Centre de recherches mathématiques (CRM) workshop:  Branching systems, reaction-diffusion equations and population models, Poster session, Poster

• Sep 2021    6th Bath-Beijing-Paris Branching Structures Meeting, Poster session, Slides Video

• Jul 2021      Bernoulli-IMS 10th World Congress in Probability and Statistics, Contributed talk, Video

• Aug 2020   Bernoulli-IMS One World Symposium, Contributed talk, Video

Teaching

I will be an instructor for Math 231 Probability and Statistics in Fall 2025 at Lehigh. 

I was an instructor for Math 1070, 1400, 3130 and 5460 at UPenn. Below are the lecture notes I prepared for Math 1400 Calculus at UPenn.

• Math 1400 Fall 2024

From 2017-2022, I taught as a teaching assistant in fifteen courses ranging from pre-calculus to graduate level probability courses at UCSD. Below are the section notes I prepared for some of the classes I TA-ed for.

• Math 180B Winter 2022

• Math 3C Special Summer Session 2021

• Math 20E Summer Session I 2021

• Math 180B Spring 2021