Luca Tamanini

Luca Tamanini is a Tenure-Track Assistant Professor (RTDb) at Università Cattolica del Sacro Cuore in Brescia, Italy. He holds the Italian Habilitation (Abilitazione Scientifica Nazionale) as Associate Professor in sector 01/A3 (Mathematical Analysis, Probability and Statistics). His research focuses on optimal transport theory, metric measure spaces (especially RCD spaces), and their applications to PDEs, stochastic analysis, and functional inequalities.

Research interests include:

• Entropic optimal transport and Sinkhorn algorithms
• Geometric and analytic properties of RCD spaces
• Hamilton-Jacobi equations in non-smooth settings
• Functional inequalities and Markov semigroups
• Large deviations and stochastic processes

His recent work explores stability of entropic plans, Hessian estimates for Sinkhorn potentials, and geometric interpretations of optimal transport divergences. Key contributions include advancements in semiconcavity theory and applications to algorithm convergence rates.

Awards: Italian Habilitation for Associate Professorship (2023).

Future activities include research visits to Université Paris Saclay (July 2025) and Universität Bonn (July 2025), and participation in specialized conferences.