Brodzki's research covers topological data analysis, noncommutative geometry, K- theory of operator algebras, coarse geometry, and mathematical physics. He has founded two research groups supported by grants from the EPSRC and a wide network of interdisciplinary collaborations, spanning mathematics, physics, medicine, genetics, computer science, and electrical engineering.
He led the programme “Joining the Dots: From Data to insight” which unifies topological data analysis, machine learning and statistics. He is a co-founder and Director of the Centre for Geometry, Topology, and Applications (CGTA).
Brodzki is Deputy Head of School for Research and Enterprise in the School of Mathematical Sciences.
Topological data analysis
Applications of topology to data-intensive problems in medicine, biology, chemistry, physics, computer science
Brodzki's current teaching focuses on the foundations of Geometry and Topology and their many applications.
- Fellow of the Alan Turing Institute (2019)