Guido Mazzuca
Affiliations. Tulane University, New Orleans, LA
Gibson Hall 417C
6823 St Charles Ave
New Orleans, LA 70118
I am a Postdoctoral Researcher in the Department of Mathematics at Tulane University, working with Prof. Ken McLaughlin. My research lies at the intersection of Integrable Systems and Random Matrix Theory.
Specifically, I investigate how soliton gases and nonlinear lattices (such as Toda and Volterra) behave over long periods when the initial data are randomly sampled. I tackle these problems using the Riemann-Hilbert approach and asymptotic analysis.
Recently, I have expanded my research scope to explore q-orthogonal polynomials and the Muttalib-Borodin ensemble, with a focus on large deviations and q-deformations of classical laws (such as Marchenko-Pastur).
Prior to moving to New Orleans, I earned my PhD from SISSA (Trieste, Italy) and held research positions at KTH Royal Institute of Technology (Stockholm) and the Mittag-Leffler Institute.
Beyond the Blackboard
I believe mathematics should be seen, not just written. I created the YouTube channel MathyOwl to share visualizations and “cool” mathematical concepts with a broader audience.
When I am not proving theorems or coding in Python , you will likely find me climbing 🧗, lifting weights , exploring new coffee shops, or traveling.
news
| Jan 25, 2026 | New preprint out! q-deformation of the Marchenko-Pastur law (joint with Sung-Soo Byun and Yeong-Gwang Jung) is now available on arXiv. We investigate the limiting spectral distribution for the $q$-Laguerre ensemble. Read the preprint here. |
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| Dec 15, 2025 | My paper The formation of a soliton gas condensate for the focusing nonlinear Schrödinger equation (with A. Gkogkou and K. McLaughlin) has been published in the Journal of Nonlinear Waves. View the publication. |