Workshop on Topology: Identifying order in complex systems

Computation of cycles representing classes of homology groups is a fundamental problem arising in applications such as parameterization, feature identification, topology simplification, and data analysis. Variations of the classical Smith Normal...

This will be a survey talk on equivariant topology methods and how to use them in discrete geometry and combinatorics, based on examples.

Topological defects pervade a wide range of physical systems, from superconductors to smectic liquid crystals. The behavior and interactions of such singularities impart many materials with a wealth of rich behavior. Just as flux vortices in the...

In this talk we discuss the recent area of topological data analysis (TDA) from a probabilistic perspective. The talk falls under two parts. The first part of the talk considers a classic object in topology and geometry, a (Whitney) stratified space...

How do things hold up? What are the geometric ideas that are involved? One of the principles can be seen with simple models, where sticks are suspended in mid-air with inextendable cables. These were called tensegrities by Buckminster Fuller...