Event Type:

Department Colloquium

Date/Time:

Monday, January 29, 2018 - 16:00 to 17:00

Location:

Kidder 350

Guest Speaker:

Institution:

University of Oregon

Abstract:

Topological data analysis aims to understand the shape of data sets, especially “large” ones, using tools from the relatively modern field of algebraic topology. We highlight two tools: the Reeb graph, which organizes data graphically (as in, “with a graph,” but also as in “producing a picture”) with respect to a reference function, and persistent homology, which counts cycles in the data. While this provides opportunities for some interesting pure mathematical questions, we focus on applications in collaboration with scientists. We illustrate the effectiveness of these tools in three different settings: breast cancer, nanoporous materials, and neuroscience, drawing from papers from PNAS and Nature Comm.

Host: