Here are some notes from different classes I took, textbooks I read, and write-ups and slides for projects and presentations. Please let me know if you find any typos or mathematical errors.
Algebraic Geometry (Varieties)
Algebraic Topology I
Algebraic Topology II
Lie Groups
Representation Theory of Finite Groups
Advanced Mathematical Methods of Physics
Elemetary Algebraic Topology (Fundamental Groups, Covering Spaces)
Differential Geometry (Smooth Manifolds)
Probability II (Measure Theoretic Probability)
Analysis V (Convolutions, Fourier Series, Signed and Complex Measures)
Functional Analysis
Ordinary Differential Equations
Statistics I (Sampling, Estimation, and Testing)
Partial Differential Equations
Sheaf Cohomology and the Holomorphic de Rham Theorem
Galois Theory and Branched Covers of Riemann Surfaces
Affine Group Schemes
Quaternionic Matrices with a Convex Numerical Range
Brouwer's Fixed Point Theorem
Maxwell's Equations through Differential Forms
Hamiltonian Mechanics
Analyzing SL(2, ℝ)
(Slides) The 27 Lines on a Smooth Cubic Surface
(Slides) Sheaf Cohomology and the Holomorphic de Rham Theorem
(Poster) Realizing Symmetry: A Glimpse into Frucht's Theorem
(Slides) Graphs to Graphite: Applications of Graph Theory in Organic Chemistry