Since 2018 I am 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 and dynamical systems.

**2012 – 2015**. BSc, Universita’ degli studi di Roma Tor Vergata.**2015 – 2017**. MSc, Universita’ degli studi di Roma Tor Vergata.**2017 – present**. PhD, IST Austria.

Curriculum vitae for more detailed information.

- Thesis [Fluctuations in the spectrum of random matrices] for the
**PhD in Mathematics**supervised by László Erdős. - Thesis [Deterministic walks] for the
**MSc in Theoretical and Mathematical Physics**supervised by Carlangelo Liverani. - Thesis [Equazioni di Hamilton-Jacobi e problemi di controllo ottimale] for the
**BSc in Mathematics**supervised by Carlo Sinestari.

**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`

.**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`

.**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`

.**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`

.**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`

.**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`

.**Eigenstate Thermalization Hypothesis for Wigner Matrices**

with László Erdős, Dominik Schröder (**2020**).

*Preprint :*`arXiv:2012.13215`

.**Functional Central Limit Theorems for Wigner Matrices**

with László Erdős, Dominik Schröder (**2020**).

*Preprint :*`arXiv:2012.13218`

.**Thermalisation for Wigner matrices**

with László Erdős, Dominik Schröder (**2021**).

*Preprint :*`arXiv:2102.09975`

.**Normal fluctuation in quantum ergodicity for Wigner matrices**

with László Erdős, Dominik Schröder (**2021**).

*Preprint :*`arXiv:2103.06730`

.

**Email**gcipollo[at]ist.ac.at**Phone**+39 3334762005**Office**I21.O3.106 (Lab Building West, 3rd floor)**Postal Address**

Institute of Science and Technology Austria

Am Campus 1

3400 Klosterneuburg, Austria