Hi! I'm a Junior Fellow at the Simons Society of Fellows, working at Columbia University.
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, etc. I'm particularly interested in the conformal field theories describing these random geometries.
My email is ja3689 at columbia.edu. Here's my CV (updated Feb 1 2022).
I am currently teaching Math UN2010 Section 3 (Linear algebra). All course material is available through Courseworks.
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 (accepted).
arxiv2104.09478.
The SLE loop via conformal welding of quantum disks
with Nina Holden and Xin Sun.
arxiv2205.05074.
Integrability of SLE via conformal welding of random surfaces
with Nina Holden and Xin Sun.
Communications on Pure and Applied Mathematics (accepted).
arxiv2104.09477.
Conformal welding of quantum disks
with Nina Holden and Xin Sun.
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.
Electronic Journal of Probability (2020).
arxiv2002.02654.
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.