Talks and Writing

• An Opinionated Introduction to Stochastic Localization, for my final paper for 18.676: Stochastic Calculus.
• The Geometry of Poincaré Constants, for my final paper for Math 213BR: Riemann Surfaces.
• Stochastic Localization and Stable Sampling Algorithms, for my final paper for Stat 291: Random High-Dimensional Optimization, joint with Peter Luo.
• A Condensed Intro to Condensed Math, at Babytop Spring 2024.
• A Walk Through the Weil Conjectures, for the Fall 2023 Directed Reading Program.
• Itô Diffusions and the Dirichlet Problem, for my final presentation for Math 289Y: Topics in Geometric PDE.
• A Motivic Approach to the Height One Telescope Conjecture, for the Summer 2023 UChicago REU.
• Abelian Varieties and the Serre-Tate Theorem, at Babytop Fall 2023.
• Complex Bordism and Complex Orientations, at Chromatic Nullstellensatz Seminar.
• THH and Bökstedt Periodicity: for the Fall 2022 Directed Reading Program.
• The Motivic Purity Theorem: for my final paper for Math 272Z: Motives at \(p\).
• Fast times at \(\mathcal{M}_{fg}\), for my final paper for Math 99R: Moduli Problems and Stacks.
• Tensors at Twilight, for a masterclass on tensors for Math 55.
• Bousfield Localizations Before Lunch, at Kan Seminar.
• The May Nilpotence Theorem, at Juvitop Fall 2022, the MIT graduate topology seminar.
• Semi-Simplicial Complexes and Postnikov Systems, at Kan Seminar.
• Proof of Nilpotence Theorem, at Chroma 2022.
• The Ravenel Conjectures and the Chromatic Decomposition, at Chroma 2022.
• Practical Homotopy Colimits, for the Spring 2022 Directed Reading Program.
• Foundations of \(\infty\)-Operads, at \((\infty, 1)\)-Seminar.

Teaching and Organizing

• In Summer 2024, I am interning at Squarepoint Capital, in NYC.
• In Spring 2024, I was TFing Stat 171, Intro to Stochastic Processes, with Prof. Subhabrata Sen.
• In Fall 2023, I was TFing Stat 110, Introduction to Probability, with Prof. Joe Blitzstein.
• In Summer 2023, I was at the UChicago Mathematics REU, working on motivic homotopy theory with Prof. Peter May and Prof. Mark Behrens.
• In Spring 2023, I was CAing Math 101, Introduction to Proof, with Prof. Janet Chen, and TFing Stat 171, Intro to Stochastic Processes, with Prof. Subhabrata Sen.
• In Winter 2023, I cotaught Galois 2023 with Yuyuan Luo, a 3-week-long intensive course on Galois theory and étale fundamental groups. See here for in-progress lecture notes.
• In Fall 2022, I was TFing Stat 110, Introduction to Probability, with Prof. Joe Blitzstein.
• In Summer 2022, I organized Chroma 2022, a summer seminar on chromatic homotopy theory!

Links to Useful Things

• Jacob Lurie’s chromatic homotopy theory notes, with bookmarks

Selected Coursework

Spring 2024:

• Math 213BR, Riemann Surfaces
• Math 256X, The Telescope Conjecture
• MIT 18.676, Non-Asymptotic Statistics
• MIT 18.676, Stochastic Calculus
• Stat 291, Random High-Dimensional Optimization

Fall 2023:

• Math 289Y, Geometric PDE
• Math 293X, Topological Modular Forms
• MIT 18.965, Geometry of Manifolds
• Stat 211, Graduate Inference I

Spring 2023:

• Math 222, Algebraic Groups
• MIT 18.726, Algebraic Geometry II
• MIT 18.917, Knots and Primes
• Stat 111, Intro to Statistical Inference
• Stat 91R, Math in Statistics Reading Group

Fall 2022:

• Math 99R, Moduli Problems and Stacks
• Math 272Z, Motives at \(p\)
• MIT 18.919, Graduate Topology Seminar (Kan Seminar)
• Stat 210, Graduate Probability I

Spring 2022:

• Math 55B, Studies in Real and Complex Analysis
• Math 231BR, Advanced Algebraic Topology
• Stat 123, Applied Quantitative Finance
• Stat 171, Intro to Stochastic Processes

Fall 2021:

• Math 55A, Studies in Algebra and Group Theory
• Stat 110, Intro to Probability
• Econ 1011A, Intro to Microeconomics