An in-progress dashboard for visualizing mathematical research trends across the arXiv. This project uses topic modeling, NLP, and arXiv metadata to map collaborations and thematic structure within the mathematical sciences.

Apr 25, 2025

An interactive Python notebook that visualizes the matrix exponential in real-time for $2 \times 2$ matrices. Built as a conceptual tool to illustrate the flow generated by a matrix in the plane, this project bridges linear algebra, differential equations, and Lie group theory.

Apr 20, 2025

An interactive visualization tool for exploring the Bloch sphere representation of qubit states and unitary operations. Built with ipywidgets, this app lets users intuitively rotate states on the sphere using SU(2) matrices and observe their geometric action in real time.

Apr 18, 2025

A Python notebook exploring Hamiltonian simulation of the Transverse Field Ising Model (TFIM) using Trotter–Suzuki approximations. This project provides a self-contained, pedagogical example of how to approximate time evolution $e^{-iHt}$ for non-commuting Hamiltonians.

Apr 15, 2025

A Python notebook exploring the KAK decomposition of SU(4) as a tool for visualizing and optimizing two-qubit quantum gates. This project illustrates how Lie group structure can inform circuit simplification and variational ansatz design in quantum machine learning.

Apr 10, 2025