Luca Nenna

Hello! Welcome to my website!

I am a maître de conférences in the department of Mathematics at Paris-Sud University. I am also a member of the ERC team MDFT and the ANR MAGA.

Before that, I was a CNRS post-doc under the supervision of Mathieu Lewin.

In December 2016 I completed my Ph.D. under the supervision of Jean-David Benamou and Guillaume Carlier. Here you can find my Ph.D. Dissertation.

My research interests lie at the intersection of Optimal Transport, Mathematical Physics and Numerical Analysis. Click here for my Google Scholar profile and my ResearchGate profile.


  • 23/01/2019 I will give a talk at Mokameeting (Mokaplan seminar) at Inria-Paris.
  • 27/01/2019-01/02/2019 I will participate in the workshop Optimal Transport Methods in Density Functional Theory at BIRS in Banff.
  • 23/06/2019-29/06/2019 I will participate in the workshop P.O.T.A. (People in Optimal Transportation and Applications) in Cortona.


Département de Mathématiques Bâtiment 307Faculté des Sciences d'Orsay Université Paris-SudF-91405 Orsay CedexOffice 2F1e-mail:

From fat to deterministic transport plans

Support of the optimal transport plan for the multi-marginal problem with the Coulomb cost: the optimal plan is the joint probability of 3 electrons. We plot the solution for different densities

Generalized flows à la Brenier (Beltrami flow) computed with the Entropic regularization approach described in [1] (see Research). Final time T=1.5.

Here a video of my talk on Mean Field Games+multi-marginal transport. Below some simulations.

First-order variational MFG via Sinkhorn.

second-order variational MFG solved vie Sinkhorn

Second-order variational MFGs via Sinkhorn algorithm.