Publications

You can find all my preprints on arXiv. Here there is a detailed list of my publications and preprints:

Preprints

5. (with P. Hege and S. Teufel) Computing the spectrum and pseudospectrum of infinite-volume operators from local patches. ArXiv: 2403.19055 (2024).

4. (with J. Lampart, S. Teufel and T. Wessel) Equality of magnetization and edge current for interacting lattice fermions at positive temperature. ArXiv: 2403.17566 (2024).

3. (with Á. Capel, S. Teufel and T. Wessel) From decay of correlations to locality and stability of the Gibbs state. ArXiv: 2310.09182 (2023). 

2. (with B. B. Støttrup) Regularity properties of bulk and edge current densities at positive temperature . ArXiv: 2201.08803 (2022). 

1. (with H. Cornean and S. Teufel) General bulk-edge correspondence at positive temperature. ArXiv: 2107.13456 (2021).

Peer-reviewed papers

11. (with G. Panati) Ultra-generalized Wannier bases: Are they relevant to topological transport? J. Math. Phys., 64, 071901 (2023).

10. (with H. Cornean and K. S. Sørensen) Bulk-edge correspondence for unbounded Dirac-Landau operators.  J. Math. Phys., 64, 021902 (2023).

9. (with G. Marcelli and G. Panati) Localization of generalized Wannier bases implies Chern triviality in non-periodic insulators. Ann. Henri Poincaré, 24, 895-930 (2023).

8. (with P. Hege and S. Teufel) Finding spectral gaps in quasicrystals.  Phys. Rev. B., 106, 155140 (2022). 

7. (with G. De Nittis, S. Richard and R. Tiedra de Aldecoa). Spectral and scattering theory for one-dimensional coupled photonic crystals. Rev. Math. Phys., 33, 2150027 (2021). 

6. (with H. Cornean and D. Monaco). Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians. J. Eur. Math. Soc., 23, 3679–3705 (2021).

5. (with G. De Nittis and K. Gomi). The geometry of (non-abelian) Landau levels.  J. Geom. Phys., 152, 103649 (2020).

4. (with D. Monaco). Streda formula for charge and spin currents. Rev. Math. Phys., 32,  2060003 (2020).

3. (with H. Cornean and D. Monaco). Parseval frames of exponentially localized magnetic Wannier functions. Commun. Math. Phys. 371 , 1179–-1230 (2019).

2. (with G. Panati). Symmetry and localization for magnetic Schrödinger operators: Landau levels, Gabor frames, and all that. Acta Appl. Math. 162(1) (2019).

1. (with G. Marcelli, D. Monaco and G. Panati) The Haldane model and its localization dichotomy. Rend. Mat. Appl. 39(2) (2018).  Extended version on ArXiv: 1909.03298.

PhD Thesis

On the localization dichotomy for gapped quantum systems. Sapienza Università di Roma, 2019. 

More information about my papers can be found on ResearchGate and Google Scholar.