Guido Mazzuca

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.