Here are some notes from different classes I took, textbooks I read, and write-ups and slides for projects and presentations. If you find any typographical or mathematical errors, please let me know by email!
Algebraic Geometry
Algebraic Topology I
Algebraic Topology II
Lie Groups
Representation Theory of Finite Groups
Advanced Mathematical Methods of Physics
Algebraic Topology (Fundamental Groups, Covering Spaces)
Differential Geometry
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)
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