Research
List of Publications
Preprints
G.B., S. Cenatiempo, A. Giuliani, A. Olgiati, G. Pasqualetti, B. Schlein, "Upper bound for the ground state energy of a dilute Bose gas of hard spheres", Preprint: arXiv: 2212.04431v2
Peer-Reviewed Articles
G. B., C. Caraci, S. Cenatiempo, "Energy expansions for dilute Bose gases from local condensation results: a review of known results", In: Correggi, M., Falconi, M. (eds), Quantum Mathematics II. INdAM 2022. Springer INdAM Series 58, Springer, 2023, 199--227
G. B., S. Cenatiempo, A. Olgiati, G. Pasqualetti, B. Schlein, "A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime", Commun. Math. Phys. 399, 1-55 (2023)
G. B., C. Cacciapuoti, D. Finco, A. Teta, "Three-body Hamiltonian with regularized zero-range interactions in dimension three", Ann. Henri Poincaré 24, 223–276 (2023)
G. B., "A second order upper bound on the ground state energy of a Bose gas beyond the Gross-Pitaevskii regime", J. Math. Phys. 63, 071902 (2022)
G. B., S. Cenatiempo, A. Olgiati, G. Pasqualetti, B. Schlein, "Ground state energy of a Bose gas in the Gross-Pitaevskii regime", J. Math. Phys., 63, 041101 (2022)
G. B., S. Cenatiempo, B. Schlein, "A new second order upper bound for the ground state energy of dilute Bose gases", Forum Math. Sigma, 9 (2021)
G. B., R. Figari, A. Teta, "Regularized quadratic forms for a three boson system with zero-range interactions ", Rend. Mat. Appl. 7, 39 (2018), 205-216
G. B., S. Cenatiempo, A. Teta, "Universal Low-Energy Behavior in a Quantum Lorentz Gas with Gross-Pitaevskii Potentials", Math. Phys. Anal. Geom. 21:11 (2018)
G. B., C. Cacciapuoti, D. Finco, A. Teta, "The three-body problem in dimension one: From short-range to contact interactions ", J. Math. Phys. 59, 072104 (2018)
G. B. , A. Teta, "Efimov Effect for a Three-Particle System with Two Identical Fermions", Ann. Henri Poincaré 18, 3975–4003 (2017)
G. B., A. Teta, "On the Quantum Mechanical Three-Body Problem with Zero-Range Interactions", Functional Analysis and Operator Theory for Quantum Physics. Pavel Exner Anniversary Volume, J. Dittrich, H. Kovarik, A. Laptev eds., EMS Publishing House, 2017, 71–93.
Other
G. B., "Upper bounds on the energy of dilute gases of hard–sphere bosons", Oberwolfach Rep. 39 (2023)
G. B., "Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii potentials", Oberwolfach Rep. 16 no. 1 (2019)
Scientific Communications
03/2024 Seminario di Fisica Matematica (Invited Seminar)
Sapienza University of Rome (IT)09/2023 Workshop: Many-Body Quantum Systems, (Invited Talk)
MFO, Oberwolfach (DE)08/2023 Nonlinear PDEs in quantum mechanics and applications (mini-simposium SIMAI congress), (Invited Talk)
Matera (IT)07/2023 Workshop of Young Researchers in Mathematical Physics (Invited Talk)
IHK Akademie, Westerham (DE)02/2023 UBC Differential Geometry, Mathematical Physics and PDE, (Invited Seminar - online) [Slide]
UBC, Vancouver (CA)02/2023 Trails in Quantum Mechanics and Surroundings, (Invited talk) [Slide]
SISSA - Trieste (IT)07/2022 AMS-SMF-EMS Joint International Meeting, (Invited Talk) [Declined, due to health reasons]
Université de Grenoble-Alpes, Grenoble (FR)06/2022 Mathematical Challenges in Quantum Mechanics (MCMQ2022), (Contributed Talk)
Como (IT)11/2021 Seminar Mathematische Physik, (Invited Seminar - online) [ Slide ]
KIT, Karlsruher Institut für Technologie, Karlsruhe (DE)08/2021 International Congress on Mathematical Physics, (Contributed Talk)[ Video (from 00:50 to 15:15) ]
International Conference Centre Geneva (CH)06/2021 Emergent theories for wave turbulence and particle dynamics, (Contributed Talk) [Video]
SwissMAP Research Station, Les Diablerets (CH)06/2021 MAS-MP Seminars, (Invited Seminar-online)
LMU, Münich (DE), Aarhus University (DK), Pontificia Universidad Católica de Chile, Santiago (CL)02/2021 Mathematics of Condensed Matter and Beyond (MCMB), (Contributed Talk-online)
American University of Beirut (LB)02/2021 Oberseminar "Analysis and Mathematical Physics", (Invited Seminar - online)
LMU, Münich (DE)01/2021 SMAQ Seminar, (Invited Seminar - online) [ Slide ]
GSSI and University of L'Aquila, L’Aquila (IT)03/2019 Mini-Workshop: Lorentz Gas Dynamics: particle systems and scaling limits, (Invited Talk)
MFO, Oberwolfach (DE)07/2018 Mathematical Challenges of Zero-Range Physics (Invited Talk) [ Slide ]
INDAM, Roma (IT)02/2018 Mathematical Challenges in Quantum Mechanics 2018 (Contributed Talk) [ Slide ]
Sapienza University of Rome (IT)01/2018 PhD Defense: Low Energy Behavior in Few-Particle Quantum Systems [ Slide ]
Sapienza University of Rome (IT)11/2017 Mathematical Physics Seminar, (Invited Seminar)
Sapienza University of Rome (IT)06/2017 PDE and Mathematical Physics Seminar, (Invited Seminar) [ Slide ]
University of Zurich (CH)05/2017 Assemblea Scientifica GNFM 2017 (Contributed Talk)
Montecatini Terme (IT)05/2017 Analysis Seminar, (Invited Seminar)
Politecnico di Torino (IT)04/2017 Spectral Days 2017, [ Poster ]
University of Stuttgart (DE)11/2016 Mathematical Foundations of Physics (Poster)
LMU, Munich (DE)11/2016 Mathematical Challenges of Zero-Range Physics (Invited Talk)
SISSA, Trieste (IT)07/2015 Trails in Quantum Mechanics and Surroundings 2015 (Invited Talk) [ Slide ]
Università dell’Insubria, Como (IT)
Organization of Scientific Events
I have been part of the organizing committee of the following scientific events:
"First Workshop on Singular Interactions and Effective Models in Mathematical Physics "
Sapienza Univeristy of Rome (IT) - July 15-17, 2024"Scaling limits and generalized hydrodynamics" (online and onsite)
GSSI L'Aquila (IT) - March 27-31, 2023"STATISTICAL AND QUANTUM MECHANICS: reconsidering their foundations in the light of new cutting edge experiments and theoretical models" (online and onsite)
GSSI L'Aquila (IT) - September 20-23, 2021Gran Sasso Quantum meetings @ GSSI: From Equilibrium Phenomena Towards Open Quantum System” (online)
GSSI L'Aquila (IT) - March 22-26, 2021
Referee for
Annales Henri Poincaré • Communications in Mathematical Physics • Forum of Mathematics, Sigma • Journal of Functional Analysis • Letters in Mathematical Physics • Mathematical Physics, Analysis and Geometry • Springer Proceeding Series