Johannes Alt

I moved to University of Bonn. My new webpage is here.

 

 

I am currently spending the incoming phase of my Marie Skłodowska-Curie Global Postdoctoral Fellowship at the mathematics department of the University of Geneva. My host is Prof. Antti Knowles. The outgoing phase was hosted by Prof. Paul Bourgade at the Courant Institute of New York University.
Prior, I was a postdoc in the research group of Prof. Antti Knowles at the University of Geneva. In August 2018, I completed my PhD studies at IST Austria under the supervision of Prof. László Erdős.

Here is a more detailed cv.

My talk for the Bernoulli-IMS One World Symposium 2020 can be found on youtube.



List of publications

My papers are on arXiv.
  1. The completely delocalized region of the Erdős–Rényi graph,
    Electron. Commun. Probab. 27 (2022), paper no. 10, 9 pp., arXiv:2109.03227,
    with Raphaël Ducatez and Antti Knowles.
  2. Poisson statistics and localization at the spectral edge of sparse Erdős–Rényi graphs,
    submitted, 2021, 79 pp., arXiv:2106.12519,
    with Raphaël Ducatez and Antti Knowles.
  3. Local elliptic law,
    Bernoulli 28 (2022), no.2, 866-909, arXiv:2102.03335,
    with Torben Krüger.
  4. Delocalization transition for critical Erdős-Rényi graphs,
    Comm. Math. Phys. 388 (2021), no.1, 507-579, arXiv:2005.14180,
    with Raphaël Ducatez and Antti Knowles.
  5. Inhomogeneous Circular Law for Correlated Matrices,
    J. Funct. Anal. 281 (2021), no. 7, 109120, arXiv:2005.13533,
    with Torben Krüger.
  6. Spectral radius of random matrices with independent entries,
    Probab. Math. Phys. 2 (2021), no. 2, 221-280, arXiv:1907.13631,
    with László Erdős and Torben Krüger.
  7. Extremal eigenvalues of critical Erdős-Rényi graphs,
    Ann. Probab. 49 (2021), no. 3, 1347-1401, arXiv:1905.03243,
    with Raphaël Ducatez and Antti Knowles.
  8. The Dyson equation with linear self-energy: spectral bands, edges and cusps,
    Doc. Math. 25 (2020), 1421-1539, arXiv:1804.07752,
    with László Erdős and Torben Krüger.
  9. Correlated random matrices: Band rigidity and Edge universality,
    Ann. Probab. 48 (2020), no. 2, 963-1001, arXiv:1804.07744,
    with László Erdős, Torben Krüger and Dominik Schröder.
  10. Singularities of the density of states of random Gram matrices,
    Electron. Commun. Probab. 22 (2017), paper no. 63, 13 pp., arXiv:1708.08442.
  11. Location of the spectrum of Kronecker random matrices,
    Ann. Inst. H. Poincaré Probab. Statist. 55 (2019), no. 2, 661-696, arXiv:1706.08343,
    with László Erdős, Torben Krüger and Yuriy Nemish.
  12. Local inhomogeneous circular law,
    Ann. Appl. Probab. 28 (2018), no. 1, 148-203, arXiv:1612.07776,
    with László Erdős and Torben Krüger.
  13. Local law for random Gram matrices,
    Electron. J. Probab. 22 (2017), paper no. 25, 41 pp., arXiv:1606.07353,
    with László Erdős and Torben Krüger.
  14. The local semicircle law for random matrices with a fourfold symmetry,
    J. Math. Phys. 56 (2015), no. 10, arXiv:1506.04683.

Proceedings

  1. Spectral radius of random matrices with independent entries,
    Oberwolfach Rep. 16 (2019), no.4, p. 3471.

Recent Teaching Activities

Fall 2020:   Teaching Assistant of Probability theory and Statistics
Spring 2020:   Lecturer of Random Matrices and Universality II
Fall 2019:   Teaching Assistant of Random Matrices and Universality I
Spring 2019:   Lecturer of Introduction to Random Matrices

Curriculum vitae

pdf

--- Last updated on April 9, 2022 ---