Research

 Preprints

1.  The Huang-Yang conjecture for the low density Fermi gas

 E. L. Giacomelli, C. Hainzl, P. T. Nam, R. Seiringer,  arXiv:2505.22340.

2. An optimal lower bound for the low density Fermi gas in three dimensions

 E. L. Giacomelli,  arXiv:2410.08904.

3. The Huang-Yang formula for the low-density Fermi gas: upper bound

 E. L. Giacomelli, C. Hainzl, P. T. Nam, R. Seiringer,  arXiv:2409.17914.

Peer-Reviewed Articles

3. 1. On the  Ginzburg-Landau energy of corners

M. Correggi, E. L. Giacomelli, A. Kachmar,  Nonlinearity  38 045025 (2025).

3. 2. On the convergence of nonlinear averaging dynamics with three-body interactions on hypergraphs

E. Cruciani, E. L. Giacomelli, J. Lee,  SIAM Journal on Applied Dynamical Systems (SIADS) 43 (3) (2024).

3. 3. 3D-Schrödinger operators under magnetic steps with semiclassical applications

W. Assaad, E. L. Giacomelli, Discrete Contin. Dyn. Syst., 43 (2) (2023). 

3. 4. An optimal upper bound for the dilute Fermi gas in three dimensions

E. L. Giacomelli,  Journal of Functional Analysis,  110073 (2023).

3. 5. On the magnetic laplacian with a piecewise constant magnetic field in ℝ^3_+

E. L. Giacomelli, In: Correggi, M., Falconi, M. (eds) Quantum Mathematics I. INdAM 2022. Springer INdAM Series, vol 57. Springer,  Singapore (2023)

3. 6. Bogoliubov theory for the dilute Fermi gas in three dimensions

E. L. Giacomelli, In: Correggi, M., Falconi, M. (eds) Quantum Mathematics II. INdAM 2022. Springer INdAM Series, vol 58. Springer, Singapore (2023)

3. 7. On Bose-Einstein condensates in the Thomas-Fermi regime

D. Dimonte, E. L. Giacomelli, Math. Phys. Anal. Geom.  25, 25 (2022).

3. 8. Almost Flat Angles in Surface Superconductivity

M. Correggi, E. L. Giacomelli, Nonlinearity 34 (2021) 7633-7661 

3. 9. The dilute Fermi gas via Bogoliubov theory

M. Falconi, E. L. Giacomelli, C. Hainzl, M. Porta, Ann. Henri Poincaré (2021) 

3. 10. Effects of Corners in Surface Superconductivity

M. Correggi, E. L. Giacomelli, Calc. Var. Partial Differential Equations 60 (2021), 236.   

3. 11. Surface Superconductivity in Presence of Corners

M. Correggi, E. L. Giacomelli, Rev. Math. Phys. 29 (2017), 175000.

Other

1. The low density Fermi gas in three dimensions

E.L. Giacomelli, Oberwolfach Rep. 49 , DOI: 10.14760/OWR-2023-49 (2023).