Giorgio Cipolloni

Giorgio Cipolloni portrait After obtaining my PhD in 01/2021 under the supervision of László Erdős at the Institute of Science and Technology Austria, I am currently a postdoc in Erdős group at IST Austria. Starting from 09/2021 I will be a research fellow at the Princeton Center for Theoretical Science . My research interests are probability theory and mathematical physics with a focus on random matrices and dynamical systems.

Education

Curriculum vitae for more detailed information.

Theses

Publications

  1. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices.
    with László Erdős (2018).
    Published in Random Matrices Theory and Applications (RMTA), DOI:doi.org/10.1142/S2010326320500069,
    arXiv version: arXiv:1806.08751.

  2. Cusp universality for random matrices II: The real symmetric case.
    with László Erdős, Torben Krüger, Dominik Schröder (2018).
    Pure Appl. Anal. 1, 615–707 (2019), DOI:10.2140/paa.2019.1.615,
    arXiv version: arXiv:1811.04055.

  3. Edge Universality for non-Hermitian Random Matrices.
    with László Erdős, Dominik Schröder (2019).
    A Published in Probability Theory and Related Fields,
    Preprint :arXiv:1908.00969.

  4. Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble.
    with László Erdős, Dominik Schröder (2019).
    Accepted to Probability and Mathematical Physics,
    arXiv version: arXiv:1908.01653.

  5. Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices.
    with László Erdős, Dominik Schröder (2019).
    Accepted to Communications on Pure and Applied Mathematics (CPAM)
    arXiv version: arXiv:1912.04100.

  6. Fluctuation Around the Circular Law for Random Matrices with Real Entries.
    with László Erdős, Dominik Schröder (2020).
    Accepted to Electronic Journal of Probability (EJP)
    Preprint :arXiv:2002.02438.

  7. Eigenstate Thermalization Hypothesis for Wigner Matrices
    with László Erdős, Dominik Schröder (2020).
    Preprint :arXiv:2012.13215.

  8. Functional Central Limit Theorems for Wigner Matrices
    with László Erdős, Dominik Schröder (2020).
    Preprint :arXiv:2012.13218.

  9. Thermalisation for Wigner matrices
    with László Erdős, Dominik Schröder (2021).
    Preprint :arXiv:2102.09975.

  10. Normal fluctuation in quantum ergodicity for Wigner matrices
    with László Erdős, Dominik Schröder (2021).
    Preprint :arXiv:2103.06730.

  11. On the condition number of the shifted real Ginibre ensemble
    with László Erdős, Dominik Schröder (2021).
    Preprint :arXiv:2105.13719.

  12. Density of small singular values of the shifted real Ginibre ensemble
    with László Erdős, Dominik Schröder (2021).
    Preprint :arXiv:2105.13720.

  13. Quenched universality for deformed Wigner matrices
    with László Erdős, Dominik Schröder (2021).
    Preprint :arXiv:2106.10200.


Contact Information

Institute of Science and Technology Austria
Am Campus 1
3400 Klosterneuburg, Austria