Machine Learning for Mathematicians

Validating the mathematical theory of machine learning through implementation.

Geometric Physics I

MATH 259A | Fall 2026

The differential geometry underlying classical mechanics, field theory and gauge theory.

Geometric Physics II

MATH 259B | Winter 2027

The differential geometry underlying classical mechanics, field theory and gauge theory.

Optimization on Manifolds

MATH 273C | Spring 2022

Advanced topics in optimization techniques applied to smooth manifolds.

Information Geometry

MATH 273B | Winter 2022

Exploration of information geometry and its applications in statistical manifolds.

Numerical Methods for Physical Modeling

MATH 174/274 | Fall 2021

Foundational numerical methods bridging mathematical theory and physical modeling.

Geometric Numerical Integration

MATH 273C | Spring 2021

Applying discrete differential geometry to construct structure-preserving algorithms.

Intro to Numerical Analysis: ODEs

MATH 170C | Spring 2021

Undergraduate introduction to numerical solutions for ordinary differential equations.

Applied and Computational Topology

MATH 273A | Fall 2020

Topological data analysis and computational geometry fundamentals.