Professor Jacek Brodzki is Professor of Pure Mathematics at the University of Southampton.
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.
A link to Brodzki's personal homepage can be found here
- Topological data analysis
- Applications of topology to medicine, biology, chemistry, physics, computer science
- Noncommutative Geometry
Brodzki is currently working on topological methods for describing disordered materials. The main idea of the work is to create novel materials with desirable physical properties while allowing a reasonable, but controlled, amount of disorder. This research is sponsored by the Leverhulme Trust and is carried out in collaboration with experimental physics group.
A parallel project investigates topological states of matter from the point of view of noncommutative geometry and K-theory. This is joint work with Higson and Stroughair (Penn State).
Current PhD Students
Brodzki's current teaching focuses on the foundations of Geometry and Topology and their many applications.
There are many possible PhD projects in topological data analysis and noncommutative geometry, so please contact Professor Brodzki if you are interested.
Brodzki is fascinated by interactions between analysis and geometry. His current work revolves around problems in noncommutative geometry arising from the Baum-Connes conjecture, including characterisations of property A, exactness of groups and their consequences.
- Fellow of the Alan Turing Institute (2019)