Notes from courses I took and taught, in college and during my PhD, organized by institution and area. If you have questions or find any of the copious errors, shoot me an email :)
The LaTeX templates I use are available here , and on GitHub . Thanks to Wen for allowing me to use his preamble, which can be found on GitLab .
The Poetry of Number Theory and the Geometry of the Primes
Algebraic Number Theory. MATH 327. Taught by Kazuya Kato in 2024. pdf
Riemannian Geometry
MATH 319. Taught by André Neves in 2024. pdf
Lie Groups and their Lattices
MATH 346. Taught by Benson Farb in 2024. pdf
Probability Theory
MATH 314. Taught by Ewain Gwynne in 2024. pdf
The Geometry and Topology of Solutions to Algebraic Equations
Taught by Benson Farb in 2025. pdf
Persistent Homology
Taught by Leonid Polterovich and Shmuel Weinberger in 2025. pdf
Moduli Spaces, Period Mappings, and Birational Classification
Taught by Benson Farb. pdf
Moduli Spaces
Taught by Eduard Looijenga in 2025. pdf
Analysis in Euclidean Space
Analysis on Manifolds
Graduate Real Analysis
Measure theory, Hilbert and Banach spaces, and $L^p$ spaces.
Graduate Complex Analysis
Introduction to Probability
MATH 525. pdf
Algebraic Topology
Algebraic Topology II
Differential Topology
Group Theory and Representation Theory
Honors Algebra II
Rings, fields, modules, and Galois theory.
Problem Sessions
MATH 297. Written for teaching. Incomplete. pdf
Written for the MATH 297 problem sessions I hosted as a course assistant. They cover a variety of topics, such as elementary group theory and point-set topology.