Oleksii Kolupaiev

About me

I am currently a PhD student at ISTA working under the supervision of László Erdős in the field of random matrix theory. My research interests extend beyond random matrices to broader areas of mathematical physics, as well as to probability theory and analysis.

Since 09/2024 I have been a co-organizer of the MIX (Mathematics in eXchange) colloquium for graduate students at ISTA.   

I also enjoy teaching Olympiad mathematics (up to the IMO level) to high school students, which I have been doing regularly since 09/2018.

You can find my full CV here.

Publications and Preprints

       8. The eigenvalues of i.i.d. matrices are hyperuniform.

             with Giorgio Cipolloni, and László Erdős.

Preprint: arXiv:2602.17628 

       7. Spectral independence of almost fully correlated random matrices.

            accepted to  Bernoulli Journal.

    arXiv version: arXiv:2503.21472

       6. Law of fractional logarithm for random matrices.

with Zhigang Bao, Giorgio Cipolloni, László Erdős, and Joscha Henheik.

Preprint: arXiv:2503.18922

        5. Decorrelation transition in the Wigner minor process.

with Zhigang Bao, Giorgio Cipolloni, László Erdős, and Joscha Henheik.

Probab. Theory Related Fields, 10.1007/s00440-025-01422-4 (2025) 

arXiv version: arXiv:2503.06549

        4. Eigenvector decorrelation for random matrices.

with Giorgio Cipolloni, László Erdős, and Joscha Henheik, 

accepted to Ann. Appl. Probab.

arXiv version: arXiv:2410.10718

        3. Loschmidt echo for deformed Wigner matrices.

with László Erdős, and Joscha Henheik.

Lett. Math. Phys.115(1) (2025)

arXiv version: arXiv:2410.08108

        2. Gaussian fluctuations in the Equipartition Principle for Wigner matrices. 

with Giorgio Cipolloni, László Erdős, and Joscha Henheik.

For. Math., Sigma, 11 (2023)

arXiv version: arXiv:2301.05181

  1. Anomalous singularity of the solution of the vector Dyson equation in the critical case

J. Math. Phys. 62, 123503 (2021)

arXiv version: arXiv:2108.08684