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I am currently a first year graduate student at the Courant Institute of Mathematical Sciences. My research interests currently lie in Calculus of Variations. My undergraduate institution was Carnegie Mellon University, where I studied phase transition models for my master's thesis under the guidance of my advisor Giovanni Leoni.

Research Projects

Personal Projects

Teaching

Talks

Math Competitions

Non-Academic Interests

My CV (As of Nov. 12, 2022)

My Master's Thesis

Also check out my blog on AoPS!

At first, I started my blog just as an outlet to write about math. As it went on, two clear goals for the blog surfaced: (1) Explain difficult math topics in an approachable way, and (2) Explore fun applications of math to the real world, particularly in puzzles and videogames. To that end, here are some selected works from my blog.

On the more theoretical side:

- Calculus of Variations Series: Part One: Euler-Lagrange, Part Two: Tonelli's Direct Method and Weak Sequential Lower Semicontinuity. This ongoing series is my attempt to lower the barrier of entry to the beautiful theory in Calculus of Variations.
- The Emoji Problem: I give a taste of analytic number theory and elliptic curves by solving a viral math problem.
- A Beautiful Trick in Convex Geometry: Crazy consequences occur if you consider the expected measure of a body's projection unto a random subspace.

On the more practical side:

- Heyawake Series: Part One, Part Two. In this series, I introduce the Japansese logic genre
*Heyawake*, and then explain a fascinating and beautiful mathematical theory behind it called*Penalty Theory*. - Genetic Drift: I explain a fascinating application of advanced probability theory to biology.
- Optimal Pulling Strategy in LLSIF: I find the best way to spend a certain currency in a famous
*gacha*game.