FACULTY
Elia Brué, an esteemed Associate Professor, has made significant contributions to the fields of Geometric Analysis and Partial Differential Equations. Graduating with a Ph.D. in Mathematics, cum laude, from Scuola Normale Superiore, Pisa, Italy, his doctoral research focused on "The structure of non-smooth spaces with Ricci curvature bounded below", under the mentorship of Prof. Luigi Ambrosio. Brue's academic journey has taken him across prestigious institutions, including a Postdoctoral membership at the Institute for Advanced Study, Princeton, USA, from November 2020 to December 2022. He joined the faculty at University Bocconi, Milan, Italy, initially as an Assistant Professor from February 2023 to September 2023, before assuming the role of Associate Professor from September 2023 onwards. Throughout his career, Brue's research interests have encompassed various aspects of Geometric Analysis and Partial Differential Equations, including Ricci curvature, metric geometry, incompressible fluid mechanics, and passive scalars with rough velocity fields.
He is an Associate Professor in mathematical analysis at Bocconi University, renowned for his contributions to geometric analysis, partial differential equations, calculus of variations, geometric measure theory, and optimal transport. His academic career has been marked by significant positions and achievements. From 2023, he has served as an Associate Professor (with tenure) in the Department of Mathematics at the University of Maryland, College Park. Prior to this, he was an Assistant Professor at the same institution from 2020 to 2023, also affiliated with the Applied Mathematics & Statistics, and Scientific Computation program. From 2017 to 2020, he was an Assistant Professor and Courant Instructor at the Courant Institute of Mathematical Sciences, New York University. He earned his Ph.D. in Mathematics from the University of Zurich in 2017, where his dissertation on "Anisotropic energies in geometric measure theory" received distinction, placing him in the top 5% of his class. His research has been supported by nearly 3 million USD in grants, including an ERC Starting Grant (2023-2028) for 1,492,700 EUR, an AFOSR grant (2023-2026) for 389,135 USD, and an NSF DMS CAREER Award (2022-2027) for 450,000 USD.
He is an Assistant Professor in the Department of Decision Sciences at Bocconi University in Milan, Italy, where he has been a faculty member since 2020. He is also affiliated with the Bocconi Institute for Data Science and Analytics (BIDSA). His research focuses on several areas within mathematical analysis, including optimal transport and its entropic regularization, convex analysis and optimization, calculus of variations, and Bayesian statistics. His work delves into the study of optimal curves and mappings in the Wasserstein space, a critical concept in the field of optimal transport. Before joining Bocconi University, Dr. Lavenant was a Postdoctoral Fellow at the Pacific Institute of Mathematical Sciences at the University of British Columbia in Vancouver, Canada, from 2019 to 2020. His academic journey began with a PhD in Mathematics from Université Paris-Sud, Orsay, France, where he completed his dissertation on "Optimal curves and mappings valued in the Wasserstein space" under the supervision of Filippo Santambrogio.
Alessandro Pigati, currently serving as an Assistant Professor at the Department of Decision Sciences of Bocconi University, is deeply engaged in the exploration of geometric analysis. His research focuses on utilizing analytical methods, including techniques from elliptic PDEs and geometric measure theory, to address intriguing questions in geometry. He earned his Ph.D. from the Zürich Graduate School in Mathematics, ETH Zürich, where his dissertation focused on developing new min-max frameworks for minimal submanifolds in dimension two or codimension two. Before joining Bocconi University, Pigati held the position of Courant Instructor/Assistant Professor at the Courant Institute of Mathematical Sciences (New York University) and served as a Morawetz Postdoctoral Fellow from 2020 to 2022. In his current work, Pigati is particularly interested in the variational construction and regularity theory of unstable minimal submanifolds in codimension higher than one.
He is full professor in Mathematical Analysis at the Department of Decision Sciences, Bocconi University, since 2020. Prior to this, he served as a Full Professor in the Mathematical Analysis Department of Mathematics at the University of Pavia from 2000 and as Researcher at IMATI-CNR, Pavia, from 1990. His research interests span optimal transport, gradient flows and rate independent evolutions, variational methods for evolution problems, analysis in metric spaces, and Partial Differential Equations. From 2019 to 2023, he was a Hans Fischer Senior Fellow at the Institute for Advanced Study, Technical University of Munich. In 2011, he was awarded the Ennio De Giorgi Prize by the Italian Mathematical Union.
POST-DOC RESERCHERS
He is a postdoctoral researcher at Bocconi University in Milan, Italy, starting in April 2024, under the mentorship of Prof. Giuseppe Savaré. He previously held postdoctoral positions at the University of Pavia from January 2023 to March 2024 with Prof.ssa Elisabetta Rocca, and from January 2021 to December 2022 with Prof.ssa Maria Giovanna Mora. Riva completed his Ph.D. at SISSA, Trieste, in September 2020, under the guidance of Prof. Gianni Dal Maso. He earned his Master’s degree from the University of Milan in 2016, advised by Prof. Bernhard Ruf, and his Bachelor's degree from the University of Milan in 2014. Riva's research interests focus on Calculus of Variations and Partial Differential Equations (PDEs), with applications to elasticity, fracture, damage, debonding, tumor growth, and traffic flows. His work includes the formulation and study of debonding models, involving complex coupling of PDEs on moving domains with energy criteria for domain growth.
Daniele De Gennaro is a PhD student in Applied Mathematics at CEREMADE, Université Paris Dauphine – PSL, and the University of Parma, supervised by Professors Antonin Chambolle and Massimiliano Morini. He is a fellow of the MathInParis2020 project, funded by the European Union. Starting in November 2024, Daniele will begin a postdoctoral research position at Bocconi University, working with Prof. Antonio De Rosa under the ERC ANGEVA grant. His research focuses on Mathematical Analysis, particularly in Calculus of Variations and Geometric Measure Theory. His PhD centers on the Mean Curvature Flow, exploring weak solutions, asymptotic behavior, and discrete approximations.
PHD STUDENTS
He is currently pursuing a Ph.D. in Statistics and Computer Science at University Luigi Bocconi, Milan, starting in September 2022. He holds a Master's degree in Mathematics from the University of Pisa, completed in May 2022 with a thesis titled “Optimal maps on metric measure spaces with Ricci curvature bounded from below,” under the supervision of Prof. Luigi Ambrosio from Scuola Normale Superiore, graduating with the highest distinction. He also earned his Bachelor's degree in Mathematics from the University of Pisa in October 2022, where he focused on “Random optimal transport problems: two and three marginal distributions,” supervised by Prof. Dario Trevisan, also graduating cum laude. Pinzi's research interests lie in mathematical analysis and probability, particularly in optimal transport theory and geometric analysis.
FORMER GROUP MEMBERS
He completed his Ph.D. in Mathématiques Appliquées et Applications Mathématiques (MODAL'X, Université Paris Nanterre) and Mathematical Analysis, Modelling, and Applications (SISSA – Trieste) with honors on September 29, 2017. Following his doctoral studies, Tamanini embarked on a series of prestigious post-doctoral fellowships. From October 2017 to October 2019, he served as a post-doctoral fellow at the Institut für Angewandte Mathematik, Universität Bonn. Subsequently, Tamanini held a post-doctoral position at CEREMADE, Université Paris Dauphine, as an FSMP Post-doctoral fellow from November 2019 to September 2021, further honing his expertise in areas like functional inequalities and stochastic analysis through collaboration with Prof. Guillaume Carlier. From September 2021 to March 2023, Tamanini was a post-doctoral fellow at BIDSA, Università Bocconi, expanding his research interests to the interplay between geometry, probability, and statistics. In 2023, he attained the Italian Habilitation as an Associate Professor in sector 01/A3 "Mathematical Analysis, Probability and Statistics," marking a significant milestone in his academic career. Currently, he is a Tenure-Track Assistant Professor (RTDb) at Università Cattolica del Sacro Cuore in Brescia.
He is currently serving as a Universitätsassistent (Post-Doc) at the University of Vienna, is a distinguished postdoctoral researcher in the field of mathematical analysis. He obtained his Ph.D. in mathematics with the highest distinction (summa cum laude) from TU Munich - IAS, under the supervision of Massimo Fornasier and Giuseppe Savaré, from October 2019 to September 2022. Prior to his doctoral studies, Sodini earned a Master's degree in Mathematical Engineering from Politecnico di Milano, graduating with honors (cum laude) in October 2019. During this time, he worked under the guidance of esteemed advisors Luigi Ambrosio and Sandro Salsa. Sodini's research is primarily focused on Optimal Transport theory and its diverse applications in mathematical analysis. He is particularly interested in evolution problems in the space of measures, the generalization of Optimal Transport theory to the broader setting of positive measures, and the study of Metric Sobolev spaces on spaces of measures.