Jiaqi Liu
I am a Postdoctoral Fellow in Applied Mathematics and Computational Science (AMCS) at the University of Pennsylvania. I am very fortunate to have Robin Pemantle and Xin Sun as my mentors. I obtained my Ph.D. in Mathematics from the University of California, San Diego in 2022. My advisor is Jason Schweinsberg. Prior to UCSD, I received my Bachelor's degree in Mathematics and Applied Mathematics at Beijing Normal University. Here is my CV.
Email: liujiaqi@sas.upenn.edu
Office: DRL 3N4C
Research interests
I work in probability theory. I am broadly interested in random models with branching structures that have backgrounds in physics or biology, including branching Brownian motion and coalescence, population models and conformal loop ensembles. Here is my research statement and Google Scholar profile.
Manuscripts in Preparation
Joint distribution of extremal distances between CLE loops, with Nina Holden and Xin Sun. In preparation
Papers
The Yaglom limit for branching Brownain motion with absorption and slightly subcritical drift, with Julien Berestycki, Bastien Mallein and Jason Schweinsberg, arXiv:24009.08789, 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
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
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 am currently the instructor for Math 1400 Calculus at Upenn. 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.