KTH Department of Mathematics,

Lindstedtsvägen 25,

SE-100 44 Stockholm, Sweden.

Office: 3420, 4th floor.

Email: parraud AT kth DOT se

I am currently a postdoc in the group Random matrices, Stochastic Models and Analysis at KTH Royal Institute of Technology. My research interests are in Random Matrix Theory and Free Probability.

Before that, I obtained my Ph.D. degree in 2021 from ENS Lyon and Kyoto University, under the cosupervision of Alice Guionnet and Benoît Collins. I received my master degree in mathematics from ENS Lyon in 2017.

- The free energy of matrix models ,

with Kevin Schnelli,

preprint (2023). - Asymptotic expansion of smooth functions in deterministic and iid Haar unitary matrices, and application to tensor products of matrices,

preprint (2023). - Asymptotic freeness through unitaries generated by polynomials of Wigner matrices,

with Kevin Schnelli,

preprint (2022). - Convergence for noncommutative rational functions evaluated in random matrices,

with Benoît Collins, Tobias Mai, Akihiro Miyagawa and Sheng Yin,

Mathematische Annalen (2022, originally announced in 2021), 1-32. - Concentration estimates for random subspaces of a tensor product and application to quantum information theory,

with Benoît Collins,

Journal of Mathematical Physics (2022, originally announced in 2020), 63(10), 102202. - Asymptotic expansion of smooth functions in polynomials in deterministic matrices and iid GUE matrices,

Communications in Mathematical Physics (2023, originally announced in 2020), 399(1), 249-294. - On the operator norm of non-commutative polynomials in deterministic matrices and iid Haar unitary matrices,

Probability Theory and Related Fields (2022, originally announced in 2020), 182(3-4), 751-806. - On the operator norm of non-commutative polynomials in deterministic matrices and iid GUE matrices,

with Benoît Collins and Alice Guionnet,

Cambridge Journal of Mathematics (2022, originally announced in 2019), 10(1), 195-260.

Last updated : June 26, 2023.