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Research
The problems we work on, and the people we work with.
We work across pure and applied mathematics, with an emphasis on computable, explorable, and honest mathematics. Our interests cluster around a few connected areas.
Topology
Persistent homology, applied topology, and the computational side of algebraic topology. We are particularly interested in what topological invariants can tell us about high-dimensional data.
Neural Networks & AI
Expressivity, generalization, and the mathematics of why neural networks work. We study the interplay between architecture, data geometry, and learnability — with a bias toward results that are testable.
Number Theory
Analytic and computational number theory, with a long-running interest in the distribution of zeros of L-functions. We build tools that make experiments on large datasets practical for small teams.
Experimental Mathematics
We treat the computer as a first-class mathematical instrument. We design experiments, publish our code, and report negative results as openly as positive ones.