# Dominik Schröder

Since 2016 I am a PhD student in the group of László Erdős at the *Institute of Science and Technology Austria*. My research interests are probability theory and mathematical physics with a focus on random matrices.

## Education

**2010**. Abitur (comparable to A-levels),*Maria-Theresia-Gymnasium*, Munich**2010 – 2011**. BSc, ETH Zurich**2011 – 2014**. BSc and MSC, LMU Munich**2014 – 2015**. MASt, University of Cambridge**2015 – present**. PhD, IST Austria**04–08/2018**. Industry Sabbattical, Bosch Center for Artifical Intelligence

Curriculum vitae for more detailed information.

## Theses

- Thesis Integrated Density of States of Random Schrödinger Operators with Alloy-Type Potential for the
**BSc in Mathematics**supervised by Peter Müller - Thesis Phase Transition in the Density of States of Quantum Spin Glasses for the
**MSc in Theoretical and Mathematical Physics**supervised by László Erdős - Essay Interlacing Families and the Kadison–Singer Problem for the
**Master of Advanced Studies in Mathematics**supervised by Timothy Gowers

## Publications

**Phase Transition in the Density of States of Quantum Spin Glasses**

with László Erdős

*Math. Phys. Anal. Geom. 17 (***2014**), no. 3-4, 441–464.

`arXiv:1407.1552`

,`MR3291938`

,`doi:10.1007/s11040-014-9164-3`

**Fluctuations of Rectangular Young Diagrams of Interlacing Wigner Eigenvalues**

with László Erdős

*Int. Math. Res. Not. IMRN***2018**, no. 10, 3255–3298.

`arXiv:1608.05163`

,`MR3805203`

,`doi:10.1093/imrn/rnw330`

**Fluctuations of Functions of Wigner Matrices**

with László Erdős

*Electron. Commun. Probab. Volume 21 (***2016**), paper no. 86, 15 pp.

`arXiv:1610.07084`

,`MR3600514`

,`doi:10.1214/16-ECP38`

**Random Matrices with Slow Correlation Decay**

with László Erdős and Torben Krüger

*preprint (***2017**)

`arXiv:1705.10661`

**Correlated Random Matrices: Band Rigidity and Edge Universality**

with Johannes Alt, László Erdős and Torben Krüger

*preprint (***2017**)

`arXiv:1804.07744`

## Teaching

- Random Matrices, IST Austria,
**2017**

### Contact Information

**Email**dschroed[at]ist.ac.at**Phone**+43 2243 9000 7485**Office**I21.O3.106 (Lab Building West, 3rd floor)**Postal Address**Institute of Science and Technology Austria Am Campus 1 3400 Klosterneuburg, Austria