Algebraic Topology: Methods, Computation, & Science

Algebraic Topology: Methods, Computation, and Science is an interdisciplinary conference that sits at the intersection of pure mathematics, computational geometry, and data science, exploring how the tools of algebraic topology — homology, cohomology, homotopy theory, and persistent homology — can be applied to scientific and engineering problems. The program spans topological data analysis, computational topology, applied homology in neuroscience and materials science, and the development of new algebraic and categorical tools for understanding the shape of complex data.

The conference brings together pure mathematicians, computational scientists, data analysts, and domain scientists from biology, physics, and engineering who share an interest in topological methods as a lens for understanding structure in high-dimensional data. It is especially valuable for researchers at the boundary of pure and applied mathematics, where the translation of abstract topological concepts into practical computational tools is both an intellectual challenge and a scientific necessity.