Notes from different classes I took, and write-ups for projects and presentations. If you find any typographical or mathematical errors, please let me know by email!
Algebraic Topology I (Fundamental Groups, Covering Spaces, Homology)
Statistics I (Sampling, Estimation, and Testing)
Analysis V (Convolutions, Fourier Series, Signed and Complex Measures)
Functional Analysis
Advanced Mathematical Methods of Physics
Algebraic Topology (Fundamental Groups, Covering Spaces)
Ordinary Differential Equations
Differential Geometry
Probability II (Measure Theoretic Probability)
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)
(Poster) Realizing Symmetry: A Glimpse into Frucht's Theorem
(Slides) Graphs to Graphite: Applications of Graph Theory in Organic Chemistry