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.

Education

  • 2010 – 2011. BSc, ETH Zurich
  • 2011 – 2014. BSc and MSc, LMU Munich
  • 2014 – 2015. MASt, University of Cambridge, Clare College
  • 2015 – present. PhD, IST Austria
  • 04 – 08/2018. Industry Sabbatical, Bosch Center for Artificial Intelligence

Curriculum vitae 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
    preprint (2017)
    arXiv:1705.10661
  5. Correlated Random Matrices: Band Rigidity and Edge Universality
    with Johannes Alt, László Erdős and Torben Krüger
    preprint (2018)
    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

Rotations in other research groups

  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