Research output per year
Research output per year
BS8 1UG
My research program is concerned with analytic and probabilistic questions in mathematical physics and I place particular emphasis on topics in random matrix theory which display intimate connections to mathematical statistical mechanics and the field of integrable differential equations. The application of asymptotics methods, special functions, probability theory, orthogonal polynomials and potential theory is central to this work. Current areas of interest include (see below for PhD projects in those areas):
1) Random matrix theory and the theory of random processes: In a nutshell, my work in this field is concerned with the
2) Exactly solvable lattice models in statistical mechanics: I have derived results for
3) Integrable differential equations: Most of my work in this field is concerned with Painleve special functions, focusing on the
Recent preprints as well as published work can be found on arXiv and MathSciNet as well as ORCID. Feel free to contact me if you are interested in one of the PhD projects below, I am happy to discuss specifics, prerequisites and learning outcomes.
Current and future work My current efforts lie at the forefront of research in mathematical statistical mechanics of highly correlated systems with focus on two major themes: exactly solvable lattice models and random matrices. The long-term goal is to unveil ground-breaking original connections between those themes and resolve a series of long-standing conjectures about the system’s underlying analytic and asymptotic behaviors. Here are two concrete PhD projects in this area
A) From non-Hermitan to Hermitian random matrices
B) Topological expansions for (near) random matrix models
Asymptotics of the Fredholm determinant corresponding to the first bulk critical universality class in random matrix models, Purdue University
1 Aug 2009 → 31 Jul 2013
Award Date: 4 May 2013
MSc Mathematics, University of Ulm
1 Aug 2007 → 31 Jul 2009
Award Date: 1 May 2009
BSc Mathematics, University of Ulm
1 May 2005 → 31 Jul 2007
Award Date: 2 Jul 2007
BSc Physics, University of Ulm
1 May 2005 → 31 Jul 2007
Award Date: 2 Jul 2007
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Research output: Contribution to journal › Article (Academic Journal) › peer-review
Bothner, T. (Principal Investigator)
31/07/22 → 31/10/23
Project: Research
Bothner, T. (Principal Investigator)
27/10/20 → 26/09/23
Project: Research
Bothner, T. J. (Recipient), 1 Jul 2020
Prize: Prizes, Medals, Awards and Grants