I'm a Junior Fellow at the Simons Society of Fellows, working at Columbia University. From July 2024, I will be an Assistant Professor at UC San Diego.

I received my Ph.D. in Mathematics from MIT in 2022, advised by Scott Sheffield. I previously completed a B.S. in Mathematics and M.S. in Statistics at Stanford.

I'm interested in probability theory, especially random conformal geometry: Schramm-Loewner evolution, conformal loop ensembles, Liouville quantum gravity, random planar maps, conformal field theories.

My email is ja3689 *at* columbia.edu. Here's my CV (updated May 7 2024).

**Boundary touching probability and nested-path exponent for non-simple CLE**

with Xin Sun, Pu Yu and Zijie Zhuang.
arxiv2401.15904.

**Conformal welding of quantum disks and multiple SLE: the non-simple case**

with Nina Holden, Xin Sun and Pu Yu.
arxiv2310.20583.

**Cutting γ-Liouville quantum gravity by Schramm-Loewner evolution
for κ ∉ {γ², 16/γ²} **

with Ewain Gwynne.
arxiv2310.11455.

**Reversibility of whole-plane SLE for κ > 8**

with Pu Yu.
arxiv2309.05176.

**Supercritical Liouville quantum gravity and CLE _{4}**

with Ewain Gwynne. arxiv2308.11832.

**Critical Liouville quantum gravity and CLE _{4}**

with Ewain Gwynne. arxiv2308.11835.

**Derivation of all structure constants for boundary Liouville CFT**

with Guillaume Remy, Xin Sun and Tunan Zhu.
arxiv2305.18266.

**Liouville conformal field theory and the quantum zipper**

arxiv2301.13200.

**Quantum triangles and imaginary geometry flow lines**

with Xin Sun and Pu Yu.
arxiv2211.04580.

**The moduli of annuli in random conformal geometry**

with Guillaume Remy and Xin Sun.
arxiv2203.12398.

**Integrability of the conformal loop ensemble**

with Xin Sun.
arxiv2107.01788.

**FZZ formula of boundary Liouville CFT via conformal welding**

with Guillaume Remy and Xin Sun.
*Journal of the European Mathematical Society* (2023).
arxiv2104.09478.

**The SLE loop via conformal welding of quantum disks**

with Nina Holden and Xin Sun.
*Electronic Journal of Probability* (2023).
arxiv2205.05074.

**Integrability of SLE via conformal welding of random surfaces**

with Nina Holden and Xin Sun.
*Communications on Pure and Applied Mathematics* (2023).
arxiv2104.09477.

**Conformal welding of quantum disks**

with Nina Holden and Xin Sun.
*Electronic Journal of Probability* (2023).
arxiv2009.08389.

**Brownian loops and the central charge of a Liouville random surface**

with Minjae Park, Joshua Pfeffer and Scott Sheffield.
*Annals of Probability* (2022).
arxiv2005.11845.

**Large deviations of radial SLE _{∞}**

with Minjae Park and Yilin Wang.

**Volume of metric balls in Liouville quantum gravity**

with Hugo Falconet and Xin Sun.
*Electronic Journal of Probability* (2020).
arxiv2001.11467.

**Comparison of discrete and continuum Liouville first passage percolation**

*Electronic Communications in Probability* (2019).
arxiv1904.09285.

**Liouville quantum gravity surfaces with boundary as matings of trees**

with Ewain Gwynne.
*Annales de l'Institut Henri Poincaré* (2021).
arxiv1903.09120.

**Collaborators**

Hugo Falconet, Ewain Gwynne, Nina Holden, Minjae Park, Joshua Pfeffer, Guillaume Remy, Scott Sheffield, Xin Sun, Yilin Wang, Pu Yu, Tunan Zhu, Zijie Zhuang.