Topology
Persistent homology, applied topology, and the computational side of algebraic topology.
Association for Support of Mathematics & Natural Sciences
Mathematics, at the frontier.
We research the deep structure of mathematics — and help organizations build the foundations to do the same.
Our research
Problems worth years of attention.
Neural Networks & AI
Expressivity, generalization, and the mathematics of why neural networks work.
Number Theory
Analytic and computational number theory, including the distribution of zeros of L-functions.
Experimental Mathematics
The computer as a first-class mathematical instrument. Code, experiments, open results.
Who we help
We build and run organizations — and help others do the same.
Latest news
From the workshop.
New paper: persistent homology signatures in small neural networks
We show that simple persistent-homology features correlate strongly with generalization in small feedforward networks.
Working with Green Circle on institutional design
We are helping greencirc.instmat.org design its publication infrastructure and editorial process.
Summer school 2026 — save the date
A week of topology, number theory, and experimental mathematics in Kavadarci.