Academic staff
	Elena Agliari Associate Professor		Giada Basile Associate Professor
	Giulia Basti Tenure-Track Researcher		Dario Benedetto Full Professor
	Lorenzo Bertini Malgarini Full Professor		Paolo Buttà Full Professor
	Emanuele Caglioti Full Professor		Guido Cavallaro Associate Professor
	Alberto Fachechi Researcher		Domenico Monaco Tenure-Track Researcher
	Gianluca Panati Full Professor		Carlo Presilla Associate Professor
	Sergio Simonella Full Professor		Alessandro Teta Full Professor
Retired / Emeriti
	Camillo Cammarota Retired Professor		Mario Pulvirenti Emeritus Professor
Post-docs and graduate students
	Giuliano Angelone Post-doc		Giulia Cava Post-doc
	Marco Cecchini PhD Student		Paulo Duarte Mourao PhD Student
	Alessandro Ferreri PhD Student		Gabriele Peluso PhD Student
	Francesca Pieroni PhD Student

Research areas

Kinetic theory and fluid dynamics

Keywords: Derivation of kinetic equations from microscopic dynamics, Lorentz gas, Boltzmann equation, Vlasov-Poisson equation, long time behavior of Vlasov type equations, vortex model, Landau damping, fluid/obstacle interaction for vanishing Reynolds number, Navier-Stokes equation.

Members: Dario Benedetto, Giada Basile, Paolo Buttà, Emanuele Caglioti, Guido Cavallaro, Mario Pulvirenti, Sergio Simonella.

Hamiltonian and dissipative dynamical systems

Keywords: Infinite particle Hamiltonian dynamics, qualitative theories for smooth dynamical systems.
Members: Paolo Buttà, Guido Cavallaro.

Non-equilibrium statistical mechanics

Keywords: Stochastic dynamical models, interface dynamics, microscopic models of heat conduction, diffusive limit of random walk in random enviroment, variational methods.
Members: Giada Basile, Lorenzo Bertini, Paolo Buttà, Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Carlo Presilla.

Quantum mechanics

Keywords: Spectral analysis, Schrödinger operators with zero-range interactions, nonlinear Schrödinger equation, semi-classical and adiabatic limit of quantum dynamics, decoherence, geometric and variational methods for periodic Schrödinger operators, topological phases of quantum magnetic matter, historical aspects of Quantum Mechanics, nonlinear models for superfluidity and superconductivity, Bose-Einstein condensation, quantum Heisenberg model, quantum phase transitions, open quantum systems.
Members: Giuliano Angelone, Giulia Basti, Giulia Cava, Alessandro Ferreri, Domenico Monaco, Gianluca Panati, Gabriele Peluso, Carlo Presilla, Alessandro Teta.

Analysis of data sequences

Keywords: Statistical and dynamical system methods in time series and data analysis with applications to biomedical systems, biochemistry, heart rate variability, authorship attribution, phylogeny.
Members: Elena Agliari, Dario Benedetto, Emanuele Caglioti, Camillo Cammarota.

Neural networks

Keywords: Hopfield model, Boltzmann machines, learning algorithms, spiking neuron models, disordered statistical mechanics, artificial intelligence.
Members: Elena Agliari, Dario Benedetto, Emanuele Caglioti, Alberto Fachechi.

Activities

• Seminari di Fisica Matematica (Department seminars in Mathematical Physics); lists also other activities organized by or of interest to the group
• Seminari di Probabilità (Department seminars in Probability)
• Matematica, Scienza e Società (Department seminars on Mathematics, Science and Society)
• "Vito Volterra" seminars
• "Mathematical Challenges in Quantum Mechanics" online seminars

Publications

Preprints by members of the group can be found on arXiv.

Publications by members of the group can be found on the IRIS repository.

Research projects / funding

Current

ERC 2023 Consolidator Grant KiLiM – Kinetic Limits of Many-Body Classical Systems

P.I.: Sergio Simonella

Webpage: https://cordis.europa.eu/project/id/101125162

PNRR-MUR PE1 Future Artificial Intelligence Research – FAIR, Spoke 5 High Quality AI

Local P.I.: Elena Agliari

Local members: Dario Benedetto, Emanuele Caglioti, Alberto Fachechi, Gabriella Puppo, Giuseppe Visconti

Webpage: https://fondazione-fair.it/

PNRR-MUR PE4 National Quantum Science and Technology Institute – NQSTI, Spoke 5 Topological Phases of Matter, Superconductivity, and Heterostructures

Local P.I.: Gianluca Panati

Local members: Giulia Cava, Domenico Monaco, Alessandro Teta

Webpage: https://nqsti.it/

PRIN 2022 77WX43 Emergence of condensation-like phenomena in interacting particle systems: kinetic and lattice models

Local P.I.: Giada Basile

Webpage: https://sites.google.com/view/alessianota/prin-2022

PRIN 2022 AKRC5P Interacting Quantum Systems:  Topological Phenomena and Effective Theories

P.I.: Domenico Monaco

Local members: Giuliano Angelone, Gianluca Panati, Gabriele Peluso

Webpage: https://sites.google.com/view/dmonaco/prin-2022

PRIN 2022 CHELC7 Singular Interactions and Effective Models in Mathematical Physics

Local P.I.: Alessandro Teta

Local members: Giulia Basti, Domenico Finco (UniNettuno)

Webpage: https://sites.google.com/view/siemmp/home

Progetto Medio di Ateneo 2023 Mathematical models for quantum particles and their interactions: analysis, topology, and effective theories

P.I.: Domenico Monaco

Faculty members: Gianluca Panati, Alessandro Teta

Non-faculty members: Gabriele Peluso

Progetto per Avvio alla Ricerca 2023 Aspetti matematici delle catene quantistiche: invarianti topologici, stati di bordo e applicazioni

P.I.: Gabriele Peluso

Tutor: Domenico Monaco

Progetto Medio di Ateneo 2024 Mathematical methods for condensed matter physics

P.I.: Gianluca Panati

Faculty members: Domenico Monaco, Alessandro Teta

Non-faculty members: Gabriele Peluso

Progetto per Avvio alla Ricerca 2024 Isolanti topologici con simmetria di inversione temporale: un nuovo approccio geometrico differenziale

P.I.: Alessandro Ferreri

Tutor: Domenico Monaco

Past

Progetto Medio di Ateneo 2020 Aspetti matematici delle interazioni fra particelle quantistiche: modelli efficaci, trasporto e topologia

P.I.: Domenico Monaco

Faculty members: Gianluca Panati, Alessandro Teta

Non-faculty members: Daniele Ferretti

Progetto Medio di Ateneo 2020 Metodi e modelli matematici per lo studio di sistemi complessi

P.I.: Elena Agliari

Faculty members: Giada Basile, Dario Benedetto, Lorenzo Bertini, Paolo Buttà, Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Giacomo di Gesù, Alessandra Faggionato, Sergio Simonella, Vittoria Silvestri

Non-faculty members: Chiara Marullo, Stefano Rossi, Cristina Tagliaferri, Michele Aleandri, Matteo Quattropani, Alberto Fachechi, Nicolas Forien

Progetto Medio di Ateneo 2021 Analytic and Spectral Methods for Condensed Matter Physics

P.I.: Gianluca Panati

Faculty members: Piero D'Ancona, Domenico Monaco, Adriano Pisante, Alessandro Teta

Non-faculty members: Daniele Ferretti, Nico Michele Schiavone, Angelo Zanni

Progetto Medio di Ateneo 2021 Approcci rigorosi allo studio di comportamenti collettivi 

P.I.: Elena Agliari

Faculty members: Giada Basile, Dario Benedetto, Lorenzo Bertini, Paolo Buttà, Emanuele Caglioti, Camillo Cammarota, Guido Cavallaro, Giacomo di Gesù, Alessandra Faggionato, Sergio Simonella, Vittoria Silvestri, Lorenzo Taggi

Non-faculty members: Stefano Rossi, Matteo Quattropani, Nicolas Forien

Progetto Medio di Ateneo 2022 Analytical and geometrical methods in condensed matter physics

P.I.: Alessandro Teta

Faculty members: Piero D'Ancona, Domenico Monaco, Gianluca Panati, Adriano Pisante

Non-faculty members: Daniele Ferretti, Angelo Zanni