I am a doctoral student in Prof. Dr. Gernot Akemann's group.
My research topic is the *integrability of non-hermitian random matrix ensembles*.

What is that?

Imagine you start with an ensemble of NxN random matrices.
You want to analyse the distribution of the eigenvalues (e.g. the density).
Write it down as an N-fold integral over the joint probability density of the eigenvalues.
Now if you solve all of these integrals, your analysis will be much easier.
But solving integrals is hard!
And you have N of them!
You need to find a clever way to compute the integrals.

And here my research can help you.
^{If your matrix model is one of the models that I am researching, otherwise: Good luck!}

Office: D5-150

E-mail: markus.ebke(at)uni-bielefeld.de

Random matrix theory with focus on applications in physics.

Currently I am working with quaternionic non-hermitian random matrices that are an extension of Ginibre's quaternion ensemble.

- XIV Brunel-Bielefeld Workshop on RMT, December 14 – 15, 2018, at Brunel University in London. I presented a poster about the results of my masterthesis: Cauchy-Transform of Orthogonal Hermite and Laguerre Polynomials in the Complex Plane.
- Seventh Bielefeld-SNU Joint Workshop in Mathematics, February 26 - March 1, 2019, at Center for Interdisciplinary Research in Bielefeld
- Research School Coulomb Gas, Integrability and Painlevé Equations, March 11 - 15, 2019, at CIRM in Marseille
- Summer School Randomness in Physics and Mathematics, August 12 - 24, 2019, at Center for Interdisciplinary Research in Bielefeld
- Research stay at KTH in Stockholm, September 29 - October 5. I gave a talk in their Random Matrix Theory Seminar on October 3.
- XV Brunel–Bielefeld Workshop on RMT, December 5 - 7, 2019, at Center for Interdisciplinary Research in Bielefeld. I presented a poster about my research so far: Mehler Formulas and Universality for Skew-Orthogonal Polynomials on the Complex Plane.
- Eighth Bielefeld-SNU joint Workshop in Mathematics, February 24 - 26, 2020, at Center for Interdisciplinary Research in Bielefeld. I gave a talk about my research: Construction of Skew-Orthogonal Polynomials from Orthogonal Polynomials for Quaternionic Non-Hermitian Random Matrices.

In preparation.