Technology & Science
Advancing Statistical Physics Methods for Combinatorics, Algorithms, and Geometry
This project develops and applies methods from statistical physics to analyse the emergence of structure in complex discrete and geometric systems. It focuses on problems in combinatorics, algorithms, and high-dimensional geometry, with particular emphasis on sphere packing and models exhibiting phase transitions.
Aims
- Establish new connections between statistical physics, theoretical computer science, and discrete mathematics;
- Advance understanding of the interplay between randomness and order in discrete and continuous systems;
- Develop new insights into the structure of high-dimensional sphere packings;
- Create tools to study random combinatorial objects in their critical regime
Project status: Ongoing
Principal Investigator
Reader in Probability
Affiliations
Funding
Funding Body: Medical Research Council
Amount: £742,484
Period: February 2027 - January 2030