Introductory topology notes (PDF)
Neat notes for UCSB topology course instruction.
Mathematics
Took courses in Topology, Analysis, Cryptography, Linear Algebra, Statistics, Functional Analysis, Statistical Learning Theory, Deep Learning, Algebra and Galois Theory.
Stark Effect modeling
In 2022–2023 I researched models of the Stark effect—the splitting of atomic spectral lines under electric fields—translating conceptual articles into Mathematica and Python. The project was catalyzed by Duncan et al. (2014) and involved converting the Hamiltonian to parabolic units and other nonstandard manipulations.
Neural network from scratch (PDF)
Feedforward network and backpropagation implemented without frameworks—a concrete check that I understood the mechanics before leaning on libraries.