Papers
Publications
[1] Upper bound for the ground state energy of a dilute Bose gas of hard spheres
with G. Basti, A. Giuliani, A. Olgiati, G. Pasqualetti and B. Schlein,
math-ph/2212.04431
[2] The excitation spectrum of two dimensional Bose gases in the Gross-Pitaevskii
regime, with C. Caraci and B. Schlein,
math-ph/2205.12218, Ann. Henri Poincaré 197 (2023)
[3] A second order upper bound for the ground state energy of a hard-sphere gas
in the Gross-Pitaevskii regime
with G. Basti, A. Olgiati, G. Pasqualetti and B. Schlein,
math-ph/2203.11917, Commun. Math. Phys. 399, 1-55 (2023)
[4] A new second order upper bound for the ground state energy of dilute Bose gases
with G. Basti and B. Schlein,
math-ph/2101.06222, Forum Math. Sigma. 9 (2021)
[5] Bose-Einstein condensation for two dimensional bosons in the Gross-Pitaevskii
regime, with C. Caraci and B. Schlein,
math-ph/2011.05962, J. Stat. Phys. 183(39) (2021)
[6] Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime
with C. Boccato, C. Brennecke and B. Schlein,
math-ph/1812.03086, Commun. Math. Phys 376, 1311–1395 (2020)
[7] Bogoliubov Theory in the Gross-Pitaevskii Limit
with C. Boccato, C. Brennecke and B. Schlein,
math-ph/1801.01389, Acta Mathematica 222(2), 219-335 (2019)
[8] Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii
potentials, with G. Basti and S. Teta,
math-ph/1710.10249, Math. Phys. Anal. Geom. 21(11), (2018)
[9] The excitation spectrum of Bose gases interacting through singular potentials
with C. Boccato, C. Brennecke and B. Schlein,
math-ph/1704.04819, J. Eur. Math. Soc. 22(7), 2331–2403 (2020)
[10] Complete Bose-Einstein condensation in the Gross-Pitaevskii regime
with C. Boccato, C. Brennecke and B. Schlein,
math-ph/1703.04452, Commun. Math. Phys. 359(3): 975-1026 (2018)
[11] Quantum many-Body fluctuations around nonlinear Schroedinger dynamics
with C. Boccato and B. Schlein,
math-ph/1509.03837, Ann. Henri Poincaré 18, 113-191 (2017)
[12] Renormalization theory of a two dimensional Bose gas:
quantum critical point and quasi-condensed state
with A. Giuliani,
math-ph/1404.5233, J. Stat. Phys. 157, 755-829 (2014)
Proceedings
[1] Energy expansions for dilute Bose gases from local condensation results: a review of known results, with G. Basti and C. Caraci,
contribution to the volume
INdAM 2022: Quantum Mathematics II,
Springer INdAM series 58, 199–227 (2023)
math-ph/2209.11714
[2] Upper bounds for the ground state energy of dilute Bose gases,
contribution to the report of the Oberwolfach workshop A Geometric Fairytale full of Spectral Gaps and Random Fruit (2022), report n. 53/2022
[3] Ground state energy of a Bose gas in the Gross-Pitaevskii regime, with
G. Basti, A. Olgiati, G. Pasqualetti and B. Schlein,
contribution to the Special collection in honor of Freeman Dyson
J. Math. Phys. 63 (4) 041101 (2022)
math-ph/2202.10270
[4] Bogoliubov theory for dilute bose gases:
the Gross-Pitaevskii regime,
contribution to the collection International Congress of Mathematical Physics (ICMP) 2018
J. Math. Phys. 60(8), 081901 (2019)
math-ph/1903.08208
[5] Complete Bose-Einstein condensation
in the Gross-Pitaevskii regime,
contribution to the report of the Oberwolfach workshop Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications (2017), report n. 41/2017
[6] Analysis of fluctuations around
non-linear effective dynamics,
contribution to the volume
Advances in Quantum Mechanics:
Contemporary Trends and Open Problems,
Springer-INdAM series 18, 99-119 (2017)
math-ph/1701.07755
Thesis
PhD Thesis Low dimensional interacting bosons,
defended on February 7, 2013
available on math-ph/1211.3772,
and here [PhD Thesis], [PhD defence slides]
Master Thesis (in Italian) [pdf]