# Professor Gordon Blower

Professor of Mathematical Analysis## Research Interests

- Random Matrix Theory - integrable operators
- Logarithmic Sobolev inequalities
- Concentration of measure
- Operator Semigroups - maximal theorems and transference

## 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.

IWOTA Lancaster 2020: International Workshop on Operator Theory and its Applications to be held at Lancaster from 17th to 21st August 2020 - Postponed until 16th to 20th August 2021

01/02/2020 → 30/09/2021

Research

IWOTA Lancaster 2020: International Workshop on Operator Theory and its Applications to be held at Lancaster from 17th to 21st August 2020 (Postponed until 16-20 August 2021)

01/09/2019 → 31/08/2020

Research

Distinguished Visiting Scholarship at University of Macau

15/10/2018 → 15/01/2019

Research

EPSRC Research Studentship EP /P505585/1

01/10/2011 → 31/03/2015

Other

Analysis and Probability, Statistical Learning

- Analysis and Probability