About

Research

My research spans topological data analysis, diffusion geometry, and mathematical physics. I especially like exploiting low-dimensional structure and symmetry to turn difficult problems into fast, scalable algorithms.

• Diffusion geometry and geometric learning
• Spatiotemporal TDA — developing methods for dynamic data
• Alexander duality
• Computational physics — lattice gauge theory simulations and emergent symmetries
• High-performance computing
• Rust & graphics programming