Honorary doctorate lecture - Ulrike Tillmann

Title: From topology to data science to (new) invariants of quiver representations  

Speaker: Ulrike Tillmann

Abstract: A relatively new but rapidly expanding area of data sciences is topological data analysis (TDA). A most prominent tool of TDA is persistent homology and its multi-parameter variant. Assuming little more than linear algebra I will introduce these theories and present recent applications.  I will then explain how this led to the introduction and study of a new invariant of quiver representations building on ideas coming from geometric invariant theory.

Among other we hope to exemplify with this talk how ideas from pure mathematics have provided new tools for data analysis and led to interesting applications,  and vice versa, how these applications have driven new theory which may be of interest also from a purely mathematical point of view.

This is based on joint work with Marc Fersztand, Emile Jacquard, Vidit Nanda, as well as other members of the Oxford Centre for TDA.

Ulrike Tillmann will receive a Honorary Doctorate at the Annual Commemoration of the University of Copenhagen on November 14. The lecture will be followed by a reception.