Luca Tamanini

I am a Tenure-Track Assistant Professor (RTDb) at Università Cattolica del Sacro Cuore in Brescia. In 2023 I attained the Italian Habilitation (Abilitazione Scientifica Nazionale) as Associate Professor in sector 01/A3 "Mathematical Analysis, Probability and Statistics".

Research interests

In my PhD thesis I studied the Schrödinger problem (an entropy minimization problem strongly related to optimal transport) in the framework of RCD spaces. Given the cutting-edge nature of the topic, since then I pursued two main research lines: 

• investigation of analytic, geometric and probabilistic aspects of the Schrödinger problem, (both in smooth and non-smooth settings) as well as of the Entropic Optimal Transport problem;

• study of various notions of curvature lower bounds in metric measure spaces (in particular RCD condition), their analytic and geometric properties and interpretation in terms of optimal transport.

I am also interested in:

-  Functional inequalities, Markov semigroups

-  Calculus of Variations, PDEs and Gradient Flows

-  Stochastic Analysis, Large Deviations

-  History of Mathematics