# Morris Ang

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.

## Articles

**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.