After obtaining my PhD in 2019 under the supervision of László Erdős at the Institute of Science and Technology Austria, I have been a junior fellow at the ETH Institute for Theoretical Studies since September 2019. My research interests are probability theory and mathematical physics with a focus on random matrices. I am also interested in universal properties of complex systems and the mathematically rigorous study of machine learning algorithms.
Curriculum vitae
- 2010 – 2011. BSc, ETH Zurich
- 2011 – 2014. BSc and MSc, LMU Munich
- 2014 – 2015. MASt, University of Cambridge, Clare College
- 2015 – 2019. PhD, IST Austria
- 04 – 08/2018. Industry Sabbatical, Bosch Center for Artificial Intelligence
- since 09/2019. Junior Fellow, Institute for Theoretical Studies, ETH Zurich
Curriculum vitae (pdf) for more detailed information.
Theses
- PhD Thesis From Dyson to Pearcey: Universal Statistics in Random Matrix Theory for a PhD in Mathematics supervised by László Erdős
- MSc 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
- BSc Thesis Integrated Density of States of Random Schrödinger Operators with Alloy-Type Potential for the BSc in Mathematics supervised by Peter Müller
Publications
All my publications can be found on the arXiv, on Google Scholar and on the MathSciNet.
-
Phase Transition in the Density of States of Quantum Spin Glasses
with László Erdős (2014)
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 (2016)
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 (2016)
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 (2017)
Forum of Mathematics, Sigma, 7, E8 (2019).
arXiv:1705.10661,MR3941370,doi:10.1017/fms.2019.2 -
Correlated Random Matrices: Band Rigidity and Edge Universality
with Johannes Alt, László Erdős and Torben Krüger (2018)
accepted for publication in Ann. Probab.
arXiv:1804.07744 -
Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
with László Erdős and Torben Krüger (2018)
accepted for publication in Comm. Math. Phys.
arXiv:1809.03971 -
Cusp Universality for Random Matrices II: The Real Symmetric Case
with Giorgio Cipolloni, László Erdős and Torben Krüger (2018)
accepted for publication in Pure Appl. Anal.
arXiv:1811.04055 -
Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble
with Giorgio Cipolloni and László Erdős (2019)
submitted
arXiv:1908.01653 -
Edge Universality for non-Hermitian Random Matrices
with Giorgio Cipolloni and László Erdős (2019)
submitted
arXiv:1908.00969 -
Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices
with Giorgio Cipolloni and László Erdős (2019)
submitted
arXiv:1912.04100 -
Fluctuation Around the Circular Law for Random Matrices with Real Entries
with Giorgio Cipolloni and László Erdős (2020)
preprint
arXiv:2002.02438
Teaching
- Random Matrices, IST Austria, 2017
Research Rotations
- Limits to gene regulation due to crosstalk.
with Gašper Tkačik
Internal report (2015) - Analysing response of retinal neurons in fish and Generalization bounds for active task selection.
with Christoph Lampert
Internal report (2016)
Contact Information
- Email dschroeder[at]eth-its.ethz.ch
- Phone +41 44 633 80 14
- Office CLV A 4
- Postal Address
ETH Zurich
Institute for Theoretical Studies
Clausiusstrasse 47
Building CLV
8092 Zurich