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)
Lie Groups
Algebraic Topology I
Algebraic Topology II
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)
Tropical Geometry
Partial Differential Equations
Affine Group Schemes
Sheaf Cohomology and the Holomorphic de Rham Theorem
Galois Theory and Branched Covers of Riemann Surfaces
Quaternionic Matrices with a Convex Numerical Range
Maxwell's Equations through Differential Forms
Analyzing SL(2, ℝ)
Hamiltonian Mechanics
Brouwer's Fixed Point Theorem
(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