# Publications

[1] 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 on line first (2019)

[2] 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)

[3] 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)

[4] The excitation spectrum of Bose gases

interacting through singular potentials,

with C. Boccato, C. Brennecke and B. Schlein,

accepted for publication on J. Eur. Math. Soc. (2017)

math-ph/1704.04819

[5]* 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)

[6] *Quantum many-Body fluctuations around nonlinear Schroedinger dynamics*,

with C. Boccato and B. Schlein,

math-ph/1509.03837, Ann. Henri PoincarĂ© 18: 113 (2017)

* *[7]* Renormalization theory of a two dimensional Bose gas: quantum critical point and quasi-condensed state, *

with A. Giuliani

math-ph/1404.5233, Jour. Stat. Phys. 157: 755-829 (2014)

# Conference Proceedings

[1]* Bogoliubov theory for dilute bose gases: the Gross-Pitaevskii regime*, contribution to Proceedings of the International Congress of Mathematical Physics, Montreal, Canada, July 23-28, 2018

math-ph/1903.08208, J. Math. Phys. 60(8): 081901 (2019)

[2]* Complete Bose-Einstein condensation in the Gross-Pitaevskii regime*, contribution to the Oberwolfach workshop report "Mathematical Questions and Challenges in Quantum Electrodynamics and its Applications", Report n. 41/2017

[3]* Analysis of fuctuations around non linear effective dynamics*,

Contribution to "Advances in Quantum Mechanics:

Contemporary Trends and Open Problems",

G. Dell'Antonio and A. Michelangeli eds., Springer-INdAM series (2017)

math-ph/1701.07755