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Leslie Molag
Welcome! I am an Assistant Professor at Carlos III University of Madrid. Before that, I was a Research Fellow in Mathematics at the University of Sussex under the supervision of Nick Simm. I was a Postdoc of Gernot Akemann in the Mathematical Physics group at Bielefeld University. I was a PhD student in classical analysis at the Mathematics department of KU Leuven under the supervision of Arno Kuijlaars. Here is my CV (last update: August 2025).
I am a member of the Group of Applied Mathematical Analysis at uc3m.
Brief Synopsis of Research:
My aim is to study a critical behavior in certain interacting particle systems such as determinantal point processes coming from random matrix theory, physics and related fields. These are described by orthogonal polynomials of various kinds and one frequently has to apply asymptotic methods to understand their behavior and that of related objects in the large system size limit.
Keywords:
Random matrices, Riemann-Hilbert problems, orthogonal polynomials, special functions, vector equilibrium problems, determinantal point processes, random normal matrices, asymptotic analysis.
List of publications
[11.] Universality for fluctuations of counting statistics of random normal matrices (with Jordi Marzo and Joaquim Ortega-Cerdà),
arXiv preprint (2025).
[10.] Asymptotics for a class of planar orthogonal polynomials and truncated unitary matrices (with Alfredo Deaño, Ken McLaughlin and Nick Simm),
arXiv preprint (2025).
[9.] Fluctuations in various regimes of non-Hermiticity and a holographic principle (with Gernot Akemann and Maurice Duits),
arXiv preprint (2024).
[8.] Large deviations and fluctuations of real eigenvalues of elliptic random matrices (with Sung-Soo Byun and Nick Simm),
Electronic Journal of Probability. 30, 1-40, (2025).
[7.] Edge behavior of higher complex-dimensional determinantal point processes,
Annales Henri Poincaré (2023), Vol. 24.
[6.] The Elliptic Ginibre Ensemble: A Unifying Approach to Local and Global Statistics for Higher Dimensions (with Gernot Akemann and Maurice Duits),
Journal of Mathematical Physics 64, 023503 (2023).
[5.] The local universality of Muttalib-Borodin biorthogonal ensembles when the parameter theta is the reciprocal of an integer,
Nonlinearity 34 (2021) 3485-3564.
[4.] The matching condition for larger size Riemann-Hilbert problems,
Journal of Approximation Theory 263 (2021) 105536.
[3.] Universality of the conditional measure of the Bessel point process (with Marco Stevens),
Random Matrices-Theory And Applications vol:10 issue:1 (2021).
[2.] The local universality of Muttalib-Borodin biorthogonal ensembles with parameter theta = 1/2 (with Arno Kuijlaars),
Nonlinearity 32 (2019) 3023-3081.
[1.] Monodromy of the generalized hypergeometric equation in the Frobenius basis,
Indagationes Mathematicae 26 (2015) 495-518. (Notice the missing factor in Thm 2.8)
Teaching (only where course material was created)
Advanced Mathematics (C2.217.15937-65* Advanced Mathematics 23/24-S1)
At UC3M for telecommunication engineers, fall 2023.
Lecture notes
Introduction to Random Matrix Theory (Part of "3 introductory lectures")
At Bielefeld University for the IRTG qualification program, fall 2022.
Lecture notes (biased on my own perspective)
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