PhD in MATHEMATICS

email: porretta@mat.uniroma2.it
phone: 06-7259 4686
building: Sogene
room: 1104

Personal data:
Place and date of birth: Rome, 08/02/1973.
Professional address: Università di Roma Tor Vergata, Dipartimento di Matematica, Via della Ricerca Scientifica 1, 00133 Roma (Italy). Tel. +390672594686
Spoken languages: italian, english (Cambridge Proficiency Exam), french (excellent).
Education:
-Degree in Mathematics, 14/7/1995 (Sapienza University, Rome), 110/110 cum laude.
-PH.D in Mathematics, 3/3/2000 (Sapienza University, Rome).
Academic positions:
2016- Full Professor (University Rome Tor Vergata)
2005- 2016: Associate Professor (University Rome Tor Vergata)
1999-2005: Researcher (Ricercatore Universitario) (University Rome Tor Vergata).
Visiting positions (since 2010):
-Invited Professor at Université Paris Dauphine, 1 month (2023).
-Invited Professor at Université Paris XIII, 15 days (2022)
-Invited Professor at Université Paris Dauphine, 2 months (2015).
-Invited Professor at Université Paris Diderot , 1 month (2015).
-Invited Professor at Université Paris XIII, 1 month (2015)
-Invited Professor at Labex CIMI, Université Paul Sabatier (Toulouse), 1 month (2014) -Invited Professor at Université Pierre et Marie Curie (Paris VI), 1 month (2012) -Visiting Fellow at BCAM (Bilbao), 1 month (2011)
-Invited Professor at Université Paris Dauphine, 2 months (2011)
Prizes:
-Prize “Fichera” 2018 (given by Unione Matematica Italiana), for the article Weak solutions to Fokker-Planck equations and mean field games, Arch. Rat. Mech. Anal. 216 (2015).
-Prize “Carlo Miranda” 2002 for young researchers in Mathematical Analysis.
Plenary speaker in international conferences (last five years):
-Workshop on Machine Learning and PDEs, Erlangen (Germany), april 2025.
-Durham Symposium on Mean Field Games (UK), march 2025
-Workshop on Mathematics and Social Sciences, Paris, february 2025
-International Conference on Dynamic Games, Plenary Speaker, Valladolid (Spain), 2024 -Imod Workshop, Trondheim (Norway), 2024
-Advances in Optimization and CdV, Erice (Italy) 2024 -Workshop on PDEs, Madrid (Spain), 2023
-Optimal transport and Applications, Edinburgh (UK), 2023 -Mean field games in Economics, Luiss Univ. (Rome), 2023 -Advances in Optimal transport, Pisa (Italy), 2022
-Waves and nonlinear phenomena, Trondheim (Norvegia) 2022
-Inverse Problems and Control for PDEs and the Hamilton-Jacobi equations, CIRM Marseille (Francia) 2022 -Mostly Maximum principle, Cortona (Italy) 2022
-Mean field games, Montreal (Canada) 2021
-Advances in Mean field games, Chicago (USA) 2021
Invited seminars or conferences given in several universities or research institutions (more than 20 different countries). Includes: Rutgers University (New York), Technische Universitat Berlin, ETH Zurich, Université Paris VI, Universite Paris Dauphine, Ecole Polytechnique (Paris), Universidad Autonoma Madrid, Waseda University (Tokyo), University of Tokyo, Technion Haifa (Israel).
Invited series of lectures in Academic or Research Institutions:

- Courses on Mean field games at Kaust University (Saudi Arabia, 2018), Chicago University (USA, 2017) ETH Zurich (Swiss, 2016).
-Invited by “Fondation Science Mathematique de Paris” and “Chaire Finance & Developpment Durable” to give a 20h course at Inst. Henri Poincaré (2015).
Editorial activity:
Member of the Editorial Board of the reviews:
-Esaim COCV, France.
-Mathematical Control and related fields, AIMS ed., USA
-Ann. Henri Lebesgue (ENS Rennes and Henri Lebesgue Center), France
Editor (with P. Cardaliaguet) of the Springer Volume: Mean Field Games, CIME Course (Cetraro 2019).
See https://www.springer.com/gp/book/9783030598365.
Editor (with P. Cardaliaguet and F. Salvarani) of the Springer Volume: PDE models for multi-agents phenomena (2018), Springer-Indam Series.
Editor (with F. Alabau-Boussira, F. Ancona and C. Sinestrari) of the Springer Volume: Trends in control theory and partial differential equations (2019), Springer-Indam Series.
Organization of scientific meetings:
-Mathematical Perspectives in Scientific Modeling, Conference in Rome Tor Vergata, 2025. -Indam-RISM Conference 2024 “Mean field models in optimal control...”
-CIME Course on “Mean field games”, Cetraro, Italy, 2019.
-"Mean field games and related topics - 4", Roma, 2017.
-"New trends in control theory and PDE", INDAM (Roma), 2017.
-"PDE methods for multi-agents phenomena", INDAM (Roma), 2016.
Funding ID:
-PI of the PRIN Project 2022 “PDEs and optimal control methods in mean field games, population dynamics and multi-agent models
-PI of the research project “Control, diffusion and transport problems in PDEs and applications", University of Rome Tor Vergata (2022-24).
- PI of the research project "Dynamic Optimization in Multi-Agents phenomena", University of Rome Tor Vergata - Call "Mission Sustainability" 2018-19.
-P.I. of INDAM (GNAMPA) annual projects in the years 2008, 2010, 2011, 2013, 2015, 2018, 2020.
-ERC Calls: applied only once, in 2012 (result: ranked A, short listed for ERC Starting/Consolidator Grants but not funded).

Main fields of research:
convection–diffusion equations, Hamilton-Jacobi equations and viscosity solutions, mean-field games, optimal control theory, L^1 theory, measure data and singularities for elliptic and parabolic equations.
Advisor of the Phd Thesis of T. Leonori (2005), M. Magliocca (2017), M. Ricciardi (2020), G. Bocchi (2025)
Publications:
- Authored over 90 articles, more than 2500 citations (MathSciNet), h-index: 30.
- Top Scientist (ranked within world top 2% in mathematics) by Stanford 2023 ranking.

Last 5-years track publications:
1) G. Bocchi, A. Porretta, Entropy-minimizing dynamical transport on Riemannian manifolds, Calc. Var. PDE 64 (2025).
2) A. Porretta, Decay rates of convergence for Fokker-Planck equations with confining drift, Adv. Math 436 (2024).
3) A. Porretta, M. Ricciardi, Ergodic Problems for Second-Order Mean Field Games with State Constraints, Comm. Pure Appl. Anal. 23 (2024).

4) P. Cardaliaguet, S. Munoz, A. Porretta, Free boundary regularity and support propagation in mean field games and optimal transport, J. Math. Pures Appl. (9) 190 (2024)
5) P. Cardaliaguet, M. Cirant, A. Porretta, Splitting methods and short time existence for the master equations in mean field games, J. Europ. Math. Soc. 25 (2023)
6) A. Porretta, Regularizing effects of the entropy functional in optimal transport and planning problems, J. Funct. Anal. 284 (2023), 109-159.
7) A. Porretta, L. Rossi, Traveling waves for a nonlocal KPP equation and mean-field game models of knowledge diffusion, Ann. I. H. Poincar ́e -AN 29 (2022).
8) M. Cirant, A. Porretta, Long time behavior and turnpike solutions in mildly non- monotone mean field games, ESAIM Control Optim. Calc. Var. 27 (2021).
9) A. Porretta, On the regularity of the total variation minimizers, Commun. Contemp. Math. 23 (2021).
10) F. Murat, A. Porretta, The ergodic limit for weak solutions of elliptic equations with Neumann boundary
condition, Math. Eng. 3 (2021).