Publications

1. Fluctuations for differences of linear eigenvalue statistics for sample covariance matrices.
   with László Erdős.
   Random Matrices: Theory and Applications Vol. 9, No. 3 (2020).
   arXiv version: arXiv:1806.08751.

2. Cusp universality for random matrices II: The real symmetric case.
   with László Erdős, Torben Krüger, Dominik Schröder.
   Pure Appl. Anal. Vol. 1, No. 4, 615–707 (2019).
   arXiv version: arXiv:1811.04055.

3. Edge Universality for non-Hermitian Random Matrices.
   with László Erdős, Dominik Schröder.
   Probab. Theory and Related Fields Vol. 179, 1–28 (2021).
   arXiv version: arXiv:1908.00969.

4. Optimal Lower Bound on the Least Singular Value of the Shifted Ginibre Ensemble.
   with László Erdős, Dominik Schröder.
   Prob. Math. Physics Vol. 1, No. 1, 101–146 (2020).
   arXiv version: arXiv:1908.01653.

5. Central Limit Theorem for Linear Eigenvalue Statistics of non-Hermitian Random Matrices.
   with László Erdős, Dominik Schröder.
   Communications on Pure and Applied Mathematics Vol. 76, Iss. 5, 946–1034 (2023).
   arXiv version: arXiv:1912.04100.

6. Fluctuation Around the Circular Law for Random Matrices with Real Entries.
   with László Erdős, Dominik Schröder.
   Electron. J. Probab. Vol. 26, 1–61 (2021).
   arXiv version: arXiv:2002.02438.

7. Eigenstate Thermalization Hypothesis for Wigner Matrices.
   with László Erdős, Dominik Schröder.
   Communications in Mathematical Physics, Vol. 388, 1005–1048 (2021).
   arXiv version: arXiv:2012.13215.

8. Functional Central Limit Theorems for Wigner Matrices.
   with László Erdős, Dominik Schröder.
   Ann. Appl. Probab. Vol. 33, No. 1, 447–489 (2023).
   arXiv version: arXiv:2012.13218.

9. Thermalisation for Wigner matrices.
   with László Erdős, Dominik Schröder.
   Journal of Functional Analysis Vol. 282, Iss. 8 (2022).
   arXiv version: arXiv:2102.09975.

10. Normal fluctuation in quantum ergodicity for Wigner matrices.
    with László Erdős, Dominik Schröder (2021).
    Ann. Probab. Vol. 50, No. 3, 984–1012 (2022).
    arXiv version: arXiv:2103.06730.

11. On the condition number of the shifted real Ginibre ensemble.
    with László Erdős, Dominik Schröder.
    SIAM Journal on Matrix Analysis and Applications Vol. 43, Iss. 3, 1469–1487 (2022).
    arXiv version: arXiv:2105.13719.

12. Density of small singular values of the shifted real Ginibre ensemble.
    with László Erdős, Dominik Schröder.
    Annales Henri Poincar'e. Vol. 23, No. 11, 3981–4002 (2022).
    arXiv version: arXiv:2105.13720.

13. Quenched universality for deformed Wigner matrices.
    with László Erdős, Dominik Schröder.
    Probab. Theory and Related Fields Vol.185, 1183–1218 (2023).
    arXiv version: arXiv:2106.10200.

14. On the Spectral Form Factor for Random Matrices.
    with László Erdős, Dominik Schröder.
    Communications in Mathematical Physics Vol. 401, 1665–1700 (2023).
    arXiv version: arXiv:2109.06712.

15. Optimal multi-resolvent local laws for Wigner matrices.
    with László Erdős, Dominik Schröder.
    Electron. J. Probab. Vol. 27, 1–38 (2022).
    arXiv version: arXiv:2112.13693.

16. Rank-uniform local law for Wigner matrices.
    with László Erdős, Dominik Schröder.
    Forum of Mathematics, Sigma. Vol. 10 (2022).
    arXiv version: arXiv:2203.01861.

17. Directional Extremal Statistics for Ginibre Eigenvalues.
    with László Erdős, Dominik Schröder, Yuanyuan Xu.
    J. Math. Phys. Vol. 63, Iss. 10 (2022). Editor’s Pick.
    arXiv version: arXiv:2206.04443.

18. On the rightmost eigenvalue of non-Hermitian random matrices.
    with László Erdős, Dominik Schröder, Yuanyuan Xu (2022).
    Ann. Probab. Vol. 51, No. 6, 2192–2242 (2023).
    Preprint: arXiv:2206.04448.

19. Dynamical Localization for Random Band Matrices up to $W\ll N^{1/4}$.
    with Ron Peled, Jeffrey Schenker, and Jacob Shapiro (2022).
    Communications in Mathematical Physics Vol. 405, No. 82 (2024).
    Preprint: arXiv:2206.05545.

20. Entanglement Entropy of Non-Hermitian Eigenstates and the Ginibre Ensemble.
    with with Jonah Kudler-Flam.
    Physical Review Letters Vol.130, Iss. 1 (2023).
    arXiv version: arXiv:2206.12438.

21. Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy.
    with Michael Aizenman.
    Letters in Mathematical Physics Vol. 114, No. 18 (2023).
    Erratum \& Addendum in Letters in Mathematical Physics Vol. 113, No. 103 (2024).
    arXiv version: arXiv:2210.10729.

22. Mesoscopic Central Limit Theorem for non-Hermitian Random Matrices.
    with László Erdős, Dominik Schröder.
    Probab. Theory and Related Fields Vol. 188, 1131–1182 (2024).
    Preprint: arXiv:2210.12060.

23. Precise asymptotics for the spectral radius of a large random matrix.
    with László Erdős, Yuanyuan Xu.
    J. Math. Phys. Vol. 65, Iss. 6 (2024).
    Preprint: arXiv:2210.15643.

24. Fluctuations of eigenvector overlaps and the Berry conjecture for Wigner matrices.
    with Lucas Benigni (2022).
    Accepted to Electronic Journal of Probability.
    Preprint: arXiv:2212.10694.

25. Optimal Lower Bound on Eigenvector Overlaps for non-Hermitian Random Matrices.
    with László Erdős, Joscha Henheik, and Dominik Schröder.
    Journal of Functional Analysis Vol. 287, Iss. 4 (2024).
    Preprint: arXiv:2301.03549.

26. Gaussian fluctuations in the Equipartition Principle for Wigner matrices.
    with László Erdős, Joscha Henheik, and Oleksii Kolupaiev.
    Forum of Mathematics, Sigma. Vol. 11 (2023).
    arXiv version: arXiv:2301.05181.

27. Non-Hermitian Hamiltonians Violate the Eigenstate Thermalization Hypothesis.
    with Jonah Kudler-Flam.
    Phys. Rev. B Vol. 109 (2024). Editor’s pick.
    Preprint: arXiv:2303.03448 .

28. The Dissipative Spectral Form Factor for I.I.D. Matrices.
    with Nicoló Grometto.
    Journal of Statistical Physics Vol. 191, No. 21 (2024).
    Preprint: arXiv:2306.16262.

29. Eigenstate thermalisation at the edge for Wigner matrices.
    with László Erdős, Joscha Henheik (2023).
    Preprint: arXiv:2309.05488.

30. Universality of extremal eigenvalues of large random matrices.
    with László Erdős, Yuanyuan Xu (2023).
    Preprint: arXiv:2312.08325.

31. Out-of-time-ordered correlators for Wigner matrices.
    with László Erdős, Joscha Henheik (2024).
    Accepted to Advances in Theoretical and Mathematical Physics.
    Preprint: arXiv:2402.17609.

32. On the spectral edge of non-Hermitian random matrices.
    with Andrew Campbell, László Erdős, Hong Chang Ji (2024).
    Preprint: arXiv:2404.17512.

33. Maximum of the Characteristic Polynomial of I.I.D. Matrices.
    with Benjamin Landon (2024).
    Preprint: arXiv:2405.05045.

34. Matrix Concentration Inequalities and Free Probability II. Two–sided Bounds and Applications.
    with Afonso S. Bandeira, Dominik Schröder, and Ramon Van Handel (2024).
    Preprint: arXiv:2406.11453.

35. Fluctuations for non–Hermitian dynamics.
    with Paul Bourgade, and Jiaoyang Huang (2024).
    Preprint: arXiv:2409.02902.

36. Non–Hermitian spectral universality at critical points.
    with László Erdős, and Hong Chang Ji (2024).
    Preprint: arXiv:2409.17030.

37. Eigenvector decorrelation for random matrices.
    with László Erdős, Joscha Henheik, and Oleksii Kolupaiev (2024).
    Preprint: arXiv:2410.10718.

Proceedings

1. Edge Universality for non-Hermitian Random Matrices.
   Oberwolfach Rep. 16 (2019), no. 4, pp. 3480–3481.

2. Fluctuations in the Spectrum of non-Hermitian i.i.d. Matrices.
   J. Math. Phys. 63, 053503 (2022).