## Notes and Tutorials

Stat 211: Statistical Inference

December 1, 2021

Graduate-level class discussing inference on statistical models, frequentist and Bayesian perspectives.

CS 252r: PL Design Studio

November 16, 2021

Graduate seminar class exploring programming languages for verification, differentiation, compilation, logic, etc.

Math 132: Differential Topology

April 21, 2021

Smooth manifolds, transversality, intersection theory, differential forms, Stokes' theorem, and cohomology.

CS 252r: Programming Languages + AI

December 10, 2020

Graduate seminar class on topics at the intersection of programming languages and artificial intelligence.

Stat 210: Probability

December 3, 2020

Graduate-level probability class providing foundational material for statistics PhD students.

F=ma Solutions Manual

October 23, 2020

Instructive solutions for nine years of past F=ma physics competition problems.

Kinetic Tournaments

August 30, 2020

A fast, kinetic data structure that offers flexibility, a simple implementation, and interesting combinatorial analysis.

CS 228: Computational Learning Theory

July 12, 2020

Graduate-level class on computational learning theory taught by Leslie Valiant, Turing award laureate.

Math 55b: Analysis and Topology

April 29, 2020

The second semester of Math 55, a rigorous first-year math class. Point-set and algebraic topology, real analysis, and complex analysis.

Math 55a: Abstract and Linear Algebra

December 21, 2019

The first semester of Math 55, a rigorous first-year math class. Group theory, abstract linear algebra, and representation theory.

## Academic Writing

Tandem Solar Cells

December 13, 2022

Fabrication and characterization of a tandem solar device. Final project for MIT class 6.2540 on nanofabrication.

Multi-Architecture Parallelism

December 11, 2022

Envisioning flexible parallelism in deep learning compilers on heterogeneous compute. Final project for CS 243, Advanced Computer Networks.

Pressure Field Models

December 8, 2021

Efficient simulation of contact dynamics using a hydroelastic intersection model. Final project for 6.834, Robotic Manipulation.

Pencil Sketch Rendering

May 21, 2021

Real-time stylized rendering of meshes and SDFs using geometry processing techniques. Final project for 6.838, Shape Analysis.

Time-Space Lower Bounds

May 6, 2021

An technical exposition of Ran Raz's strong hardness result for learning problems. Final project for CS 221, Advanced Computational Complexity.

3-Inflatable Permutations

January 29, 2021

Mathematics research paper, published in the Electronic Journal of Combinatorics (E-JC).

Taint Analysis for Browser Fingerprinting

December 11, 2020

Dynamic taint analysis for user privacy on the web. Final project for CS 263, Systems Security.

Generative Music Modeling

December 8, 2020

Composing music by annealed Langevin dynamics and noise-conditional score networks. Final project for CS 252r, Advanced Topics in Programming Languages and AI.

Lorenz Attractor Bifurcations

November 23, 2020

Presentation on chaos theory of the Lorenz system, local and global bifurcations. Final project for Math 118r, Chaotic Dynamical Systems.

DeepCoder

October 15, 2020

Seminar presentation on learned inductive program synthesis (published in ICLR 2017) for CS 252r, Advanced Topics in Programming Languages and AI.

Compression-Based Generalization Bounds

May 14, 2020

Survey of modern research in deep learning theory. Final project for CS 228, Computational Learning Theory.

Single Bidder Auctions

December 10, 2019

Survey of research in mechanism design and optimal transport theory. Final project for CS 223, Random Processes and Algorithms.

On Quasirandom Permutations

May 20, 2018

Talk introducing new forcing results on quasirandom permutations. This solved an open problem in combinatorics.