Curriculum vitae et studiorum

PERSONAL

• Name: Lorenzo Bertini Malgarini
• Place and date of birth: Rome,   Italy,   November 29, 1967.
• Nationality: Italian.
• Languages:
  • Italian   native,
  • English   fluent,
  • French   poor.
• Address: Dipartimento di Matematica
                   Università di Roma La Sapienza,
                   P.le A. Moro 2,   00185 Roma     ITALY
• E-Mail: bertini "AT" mat.uniroma1.it
• Home Page: http://lorenzobertini.alwaysdata.net/

MAIN RESEARCH INTEREST: Nonequilibrium statistical mechanics

• Interacting particle systems
• Hydrodynamical limits
• Stochastic partial differential equations
• Interface dynamics
• Nonequilibrium stationary states
• Large deviations and connected variational problems
• Gradient flows
• Kinetic models

EDUCATION

• Ph.D. in Mathematics University of Rome Tor Vergata, 1994.
• Laurea degree in Physics, University of Rome La Sapienza, 1991.

CURRENT POSITION (since 2004)

Full Professor, "Professore ordinario", in Probability and Mathematical Statistics (Settore disciplinare MATH-03/B) at the Mathematics Department, University of Rome La Sapienza.

PREVIOUS POSITIONS

• 1999-04: Associate Professor, "Professore II Fascia",
  Mathematics Department, University of Rome La Sapienza, Italy.
• 1997-99: Researcher, "Ricercatore",
  Mathematics Department, University of Rome La Sapienza, Italy.
• 1995-97: Research Associate
  Mathematics Department, Imperia College, London.
• 1994-95:Post Doctorate Fellowship
  Centre de Physique Theorique, Ecole Polytechnique, Palaiseau, France.
• 1993-94: Visiting graduate student
  Courant Institute of Mathematical Sciences, New York University, USA.

TEACHING

• PhD Courses
  • 2015-16: Large deviations, University of Rome La Sapienza.
  • 2012-13: Introduction to statistical mechanics, University of Rome La Sapienza.
  • 2009-10: Hydrodynamical limits, Scuola Internazionale Superiore di Studi Avanzati, Trieste.
  • 2006-07, 2005-06, 2004-05, 2000-01: Probabilistic methods in PDE, University of Rome La Sapienza.
  • 1996-97: An introduction to interacting particle systems, Imperial College, London.
  
  
• Graduate Courses
  • 2024-25, 2018-19, 2017-18: Stochastic Calculus, Mathematics, University of Rome La Sapienza.
  • 2020-21: Statistical Mechanics, Mathematics, University of Rome La Sapienza.
  • 2016-17: Stochastic Processes, Mathematics, University of Rome La Sapienza.
  • 2002-03: Advanced probability, Mathematics, University of Rome La Sapienza.
  
  
• Ungraduate Courses Too many to detail them all. Among them:
  • Basic probability, Mathematics, University of Rome La Sapienza.
  • Probabilistic methods in finance, Mathematics, University of Rome La Sapienza.
  • Probability and Statistics, Biological and Natural Sciences, University of Rome La Sapienza.
  • Matematics and Statistics, Biological and Natural Sciences, University of Rome La Sapienza.
  • Advanced Statistics, Biological and Natural Sciences, University of Rome La Sapienza.
  • Probability, Applied Computer Science and Artificial Intelligence, University of Rome La Sapienza.
  • Probability, Computer Science, University of Rome La Sapienza.
  • Probability and Statistics, Mathematical Sciences for Artificial Intelligence, University of Rome La Sapienza.

SUPERVISION OF GRADUATE STUDENTS, PHD, AND POSTDOC

• PostDoc
  • 2023-26. D. Parisi, Dipartimento di Matematica, University of Rome La Sapienza.
  • 2022-23 M. Aleandri, Dipartimento di Matematica, University of Rome La Sapienza.
  • 2021 G. di Gesù, Dipartimento di Matematica, University of Rome La Sapienza.
  • 2016-18 C. Orrieri, Dipartimento di Matematica, University of Rome La Sapienza.
  • 2007 C. Bernardin, Dipartimento di Matematica, University of Rome La Sapienza.
• PhD Students
  • 2004-08 M. Mariani [Supervisor], Dipartimento di Matematica, University of Rome La Sapienza.
  • 2000-03 C. Toninelli [Collaboration], Dipartimento di Fisica, University of Rome La Sapienza.
• Graduate Students An average of 0.75/year since I become Associate Professor. Among them:
  • M. Aleandri, currently Tenure Track Researcher (RTT) at Florence Universty, Italy.
  • A. Occelli, currently Maître de Conférences at Université d'Angers, France.
  • G. Di Gesù, currently Associate Professor at University of Rome La Sapienza, Italy.

AWARDS

• 2025. International Prize Cataldo Agostinelli e Angiola Gili Agostinelli. Accademia dei Lincei.
• 2002. Annales Henri Poincaré (AHP) Prize. For the articles Front Fluctuations in One Dimensional Stochastic Phase Field Equations, AHP Vol. 3, pp. 29-86 and Stochastic Phase Field Equations: Existence and Uniqueness, AHP Vol. 3, pp. 87-98.
• 1992. Prize Gabriella del Grosso for the best thesis on the theory of stochastic processes and application.

INSTITUTIONAL RESPONSIBILITIES

• 2023-26. Member "Commissione Abilitazione Scientifica Nazionale 01/A3" [National Evaluation Committee].
• 2022. Member "Commissione per il Dipartimento di Eccellenza" [Commitee to prepare the departmental project]. Dipartimento di Matematica, University of Rome La Sapienza.
• 2003-13. Member PhD Committee, Dipartimento di Matematica, University of Rome La Sapienza.

ORGANIZATION OF SCIENTIFIC MEETINGS

• 2025. Workshop "A special day in Statistical Mechanics and beyond: remembering Errico Presutti", Rome, Italy.
• 2025. Workshop "Stochastic equations and particle systems", Rome, Italy.
• 2024. Conference "Italian Meeting on Probability and Mathematical Statistics", Rome, Italy.
• 2022. Conference "Cross fertilization between Physics and Mathematics", Rome, Italy.
• 2007. GNAMPA Summer School "De Ludo Aleae", Rome, Italy..
• 2006. Workshop "Hydrodynamic limits and particle systems", Pisa Italy.
• 2002. Workshop "Probabilistic models and disordered systems", Rome, Italy.
• 2001. Workshop "Percolation, particle systems and other stochastic processes", Milan, Italy.

REVIEWING ACTIVITIES

• 1995-current. Reviewer for Mathematical Journals and, in few cases, Physical Journals.
• 2026. Deutsche Forschungsgemeinschaft (German Research Foundation), Scientific Evaluator.
• 2020, 2021, 2025. Agence Nationale de la Recherche (French Research Agency), Scientific Evaluator.
• 2023. Royal Society (United Kingdom), Scientific Evaluator.

PERIODS ABROAD

• 2000, 2005, 2009, 2025, 2026. IMPA, Rio de Janeiro, Brasile. Invitated by C. Landim.
• 2021. Université Paris Cité. Invitated by G. Giacomin.
• 2008. Centre Emile Borel, IHP, Paris. Invitated for the Semester Interacting particle systems, statistical mechanics and probability theory.
• 2002. Institute of Advanved Studies, Princeton (NJ) USA. Invited by J. Lebowitz
• 2001. Centre Emile Borel, IHP, Paris. Invitated for the Semester Hydrodynamic limits.
• 1997. Centre Emile Borel, IHP, Paris. Invited for the trimester Intégrales fonctionnelles.

SELECTED CONTRIBUTIONS TO CONFERENCES

• 2025. StatPhy29. Florence, Italy.
• 2025. Emergent macroscopic phenomena in non-equilibrium statistical mechanics, l'Aquila, Italy.
• 2023. About entropy in large classical particle systems, Oxford, United Kingdom.
• 2023. Fluctuating hydrodynamics, Berlin, Germany.
• 2023. Curvature-driven geometric problems, Pisa, Italy.
• 2023. Phase transitions in spatial particle systems, Berlin, Germany.
• 2018. Interplay of analysis and probability in applied Mathematics, Oberwolfach, Germany.
• 2016. Probabilistic models - from discrete to continuous, Warwick.
• 2016. Progress in non-equilibrium statistical mechanics, Nice, France.
• 2010. Nonconvex evolutions problems, Rome, Italy.
• 2010. Stochastic analysis, SPDEs, Particle systems, Optimal transport, Levico Terme, Italy.
• 2009. Interacting stochastic particle systems, Monteral, Canada.
• 2008. Stochastic models in Physics, 3rd La Pietra week in probability, Florence, Italy.
• 2008. From dynamical systems to statistical mechanics, Marseille, France.
• 2007. Microscopic Origins of Dissipation and Noise, Leipzig, Germany.
• 2004. 8a Escola Brasileira de Probabilidade, Ubatuba, Brazil.
• 2004. Phase Transitions, Oberwolfach, Germany.
• 2003. XIV International Congress on Mathematical Physics (ICMP 2003), Lisbon, Portugal.
• 2003. Probability and Statistical Mechanics in Information Science, Pisa, Italy.
• 2002. Workshop Stochastic Models from Statistical Physics, EURANDOM, Eindhoven, Nederland.
• 2002. Conferenc Dynamical Systems: Classical, Quantum, Stochastic, Serra Alimini, Italy.
• 2001. Conference Homogénéisation en mécanique statistique pour des potentiels à longue portée, Cergy, France.
• 2000. Workshop Random Fields and Their Applications, Pisa, Italy.
• 2000. Conference Dynamical Systems: Classical Quantum Stochastic, Porto Malu, Italy.
• 1999. III Escola Brasileira de Probabilidade, Mambucaba, Brazil.
• 1998. Workshop Macroscopic stochastic fluctuations: Equilibrium and non-equilibrium, Vulcano, Italy.
• 1996. Workshop Interacting Particle systems and their applications, Haifa, Israel.
• 1995. Conference Systeme aleatoires inhomogenes, grandes deviations et limites hydrodynamiques, Palaiseau, France.
• 1995. 19th IUPAP International Conference on Statistical Physics, Xiamen, Cina.
• 1993. NATO-ASI Conference On Three Levels, Leuven, Belgium.
• 1993. NATO-ASI School Stochastic Analysis and Applications in Physics, Funchal, Portugal.

MAIN RESEARCH THEMES AND BEST THREE PUBLICATIONS

• Stochastic PDE and interacting particle systems. In special circumstances non-linear stochastic partial differential equations can be derived by considering the scaling limit of interacting particles systems. This derivation allows a sound formulation of otherwise ill-posed stochastic partial differential equation and it has been proven to be instrumental in analyzing their asymptotic behavior. With G. Giacomin, in `Stochastic Burgers and KPZ equations from particle systems' (1997), I have shown how the Kardar-Parisi-Zhang (KPZ) equation can be derived from the weakly asymmetric exclusion process. I consider this article, quoted as "seminal work" in `Solving the KPZ equation' by M. Hairer, my most original contribution.
• Interface dynamics. In typical situations, interfaces evolve by curvature and the effect of the fluctuations can be modeled by an action functional first introduced by Kohn et al. With P. Buttà and A. Pisante, in `Stochastic Allen-Cahn approximation of the mean curvature flow: large deviations upper bound' (2017), I have shown that this functional is actually the large deviations rate function for the stochastic Allen-Cahn equation in the sharp interface limit. The proof is achieved by combining stochastic methods with tools from geometric measure theory and provides a significant improvement: it is shown that the zero level set of the rate function is given by the motion by mean curvature in the Brakke formulation.
• Large deviations and Γ-convergence. A large deviation principle describes the asymptotic behavior of a one-parameter family of probability measures. In order to analyze the behavior of a two-parameter family, it is needed to discuss the variational convergence of sequences of rate functions. A particularly relevant example of this situation is the occurrence of dynamical phase transitions for the current: upon conditioning on the total current over a long time interval the density that it is observed exhibits a non-trivial and time-dependent profile. As discussed in `Concurrent Donsker-Varadhan and hydrodynamical large deviations' (2023), in collaboration with D. Gabrielli and C. Landim, this phenomenon occurs for the exclusion process is in the joint limit in which both the time interval and the number of particles diverge.

Publications for the list of publications,

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