Since 2016 I have been 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. 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
  • from 10/2019. Junior Fellow, Institute for Theoretical Studies, ETH Zurich

Curriculum vitae (pdf) for more detailed information.

Theses

Publications

All my publications can be found on the arXiv, on Google Scholar and on the MathSciNet.

  1. 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

  2. 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

  3. 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

  4. Random Matrices with Slow Correlation Decay
    with László Erdős and Torben Krüger
    Forum of Mathematics, Sigma, 7, E8 (2019).
    arXiv:1705.10661, MR3941370, doi:10.1017/fms.2019.2

  5. Correlated Random Matrices: Band Rigidity and Edge Universality
    with Johannes Alt, László Erdős and Torben Krüger
    accepted for publication in Ann. Probab. (2019)
    arXiv:1804.07744

  6. Cusp Universality for Random Matrices I: Local Law and the Complex Hermitian Case
    with László Erdős and Torben Krüger
    preprint (2018)
    arXiv:1809.03971

  7. Cusp Universality for Random Matrices II: The Real Symmetric Case
    with Giorgio Cipolloni, László Erdős and Torben Krüger
    preprint (2018)
    arXiv:1811.04055

Teaching at IST Austria

Research Rotations

  1. Limits to gene regulation due to crosstalk.
    with Gašper Tkačik
    Internal report (2015)
  2. Analysing response of retinal neurons in fish and Generalization bounds for active task selection.
    with Christoph Lampert
    Internal report (2016)

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