Research

Ongoing research projects

Topos-theoretic foundations for persistent homology

Topological tools for multi-scale analysis of complex systems

Persistent homology on algebraic varieties

Circular coordinates to analyze periodic/recurrent systems

The Topology of Politics

Finished research projects

Persistent cohomology and circular coordinates

Persistent absolute/relative (co)homology and dualization functors

Explicit implementation of operadic Gröbner bases

Blackbox computation of A∞-structures in group cohomology