# About Me

Hi! I’m an aspiring mathematical analyst and PhD student at Stanford, where I am advised by Jonathan Luk and generously supported by an NSF Graduate Research Fellowship.

Previously, I was an undergraduate at Carnegie Mellon University, where I completed the honors degree program under the supervision of Gautam Iyer. As an undergraduate, I also worked with Ian Tice on various problems in fluids and with Keenan Crane on problems in discrete differential geometry as a member of the Geometry Collective.

My current research interests are primarily in the realm of nonlinear partial differential equations, particularly those originating from general relativity or other physical contexts.

This site exists both in the hopes that someone will find the content here useful and to serve as some sort of documentation for myself; hopefully both of those goals are achieved to some extent.

Here’s a short list of some stuff I’ve done:

## Research

### Using Bernoulli maps to accelerate mixing of a random walk on the torus

Gautam Iyer, Ethan Lu, James Nolen.

The Quarterly of Applied Mathematics 82

Preprint
Journal

### Surfactant Dynamics from the Arnold Perspective

Ethan Lu, J. Jenkins, C. Lee, Y. Liu, D. Reed.

SIAM Undergraduate Research Online, vol. 14

Invited talk at New Connections in Math 2021

Paper
Poster
Slides

### Central Limit Theorems for Compound Paths on the 2-Dimensional Lattice

E. Fang, J. Jenkins, Z. Lee, D. Li, Ethan Lu, S. Miller, D. Salgado, J. Siktar

Fibonacci Quarterly, vol 58, no. 3

Invited talk at the 19th International Conference on Fibonacci Numbers

Paper
Slides

## Handouts

Various handouts that I’ve written, sorted in approximately reverse chronological order.

- Notes on Symmetric Hyperbolic Systems
- Recitation Notes for 21-237/238 (Honors Algebra I/II)
- Notes from 80-524: The Topology of Learning
- Smooth Bump Partitions and Partitions of Unity
- A quick guide to setting up $\LaTeX$

## The site

This site is powered by Jekyll, Minimal Mistakes, $\KaTeX$, and Github Pages. If you’re interested, you can see the source for the entire setup here.