Professor Gordon Blower
Head of Department, Professor of Mathematical AnalysisResearch Interests
- Random Matrix Theory
- Linear systems and Hankel operators
- Logarithmic Sobolev inequalities
- Concentration of measure
- Statistical mechanics of PDE
PhD Supervision Interests
I an interested in supervising PhDs in the following topics: Random matrices, high dimensional phenomena, and optimal transportation theory. Specifically, I would be willing to supervise a project `Integrating differential equations in random matrix theory'. This would involve using methods from the theory of linear systems to analyze various operators which arise in random matrix theory. In particular, the aim is to extend ideas of Tracy and Widom to new matrix models. To pursue this project, a student would need a sound background in analysis. While the results have applications to statistical physics, the student would not require much background in physics or probability. This project develops a theme from some previous PhD thesis which I have supervised at Lancaster. Further information is available on request.
04/07/2022 → 20/09/2022
Research
01/02/2020 → 30/09/2021
Research
01/09/2019 → 31/08/2020
Research
15/10/2018 → 15/01/2019
Research
01/10/2011 → 31/03/2015
Other
Analysis, Statistical Artificial Intelligence
- Analysis