Preprint

[24] M. Gallone, R. Grande, A. Ponno, S. Ruffo, E. Druais, Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain

[23] R. Adami, F. Boni, M. Gallone, Trapping by repulsion: the NLS with a delta-prime, arXiv:2507.02330

[22] M. Gallone, A. Michelangeli, D. Noja, Non-relativistic limit of Dirac Hamiltonians with Aharonov-Bohm fields, arXiv:2502.20318

Accepted

[21] M. Gallone, The role of integrability in Fermi-Pasta-Tsingou like models, accepted as chapter for the volume Symmetries and Integrability of Difference Equations. arXiv:2509.17753

Published

[20] M. Gallone, S. Lucente, Singularity: A Seventh Memo?,. In: Cassano, B., Cunden, F.D., Gallone, M., Ligabò, M., Michelangeli, A. (eds) Singularities, Asymptotics, and Limiting Models. Springer INdAM Series, vol 64. Springer, Singapore (2025). doi: 10.1007/978-981-96-3584-9_10

[19] F. Boni, M. Gallone, Two dimensional NLS ground states with attractive Coulomb potential and point interaction, In Journal of Differential Equations (Vol. 414, pp. 1–33) (2025). Elsevier BV. doi: doi.org/10.1016/j.jde.2024.08.076

[18] M. Gallone, A. Ponno, S. Ruffo, Energy cascade and Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain, Phys. Rev. E 110, 054212 (2024); doi: 10.1103/PhysRevE.110.054212

[17] M. Gallone, V. Mastropietro, Universality in the 2D Ising Model and Harris-Luck Irrelevance,  Commun. Math. Phys. 405, 235 (2024); doi: 10.1007/s00220-024-05092-6

[16] M. Gallone, B. Langella, Prethermalization and conservation laws in quasi-periodically driven quantum systems,  J Stat Phys 191, 100 (2024). doi: 10.1007/s10955-024-03313-9
(Correction of some typos we found: link)

[15] M. Gallone, A. Ponno, Hamiltonian field theory close to wave equation: from Fermi-Pasta-Ulam to water waves, in: Georgiev, V., Michelangeli, A., Scandone, R. (eds) Qualitative Properties of Dispersive PDEs. INdAM 2021. Springer INdAM Series, vol 52. Springer, Singapore. doi: 10.1007/978-981-19-6434-3_10

[14] M. Gallone, A. Michelangeli, E. Pozzoli, Heat equation with inverse-square potential of bridging-type across two half-lines, in: Georgiev, V., Michelangeli, A., Scandone, R. (eds) Qualitative Properties of Dispersive PDEs. INdAM 2021. Springer INdAM Series, vol 52. Springer, Singapore doi: 10.1007/978-981-19-6434-3_7

[13] M. Gallone, M. Marian, A. Ponno, S. Ruffo, Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain, Phys. Rev. Lett. 129  114101 (2022) doi: 10.1103/PhysRevLett.129.114101
(press release on LeScienze.it - in Italian)

[12] B. Cassano, M. Gallone, F. Pizzichillo, Dirac-Coulomb operators with Infinite Mass Boundary Conditions in Sector, J. Math. Phys. 63, 071503 (2022) doi: 10.1063/5.0089526

[11] M. Gallone, A. Michelangeli, E. Pozzoli, Quantum Geometric Confinement and Dynamical Transmission in Grushin Cylinder, Reviews in Mathematical Physics 3 Vol. 34 no. 7 (2022) 2250018 doi: 10.1142/S0129055X22500180

[10] M. Gallone, A. Ponno, B. Rink, Korteweg-de Vries and Fermi-Pasta-Ulam-Tsingou: asymptotic integrability of quasi unidirectional waves, J. Phys. A: Math. Theor. 54 305701 (2021) doi: 10.1088/1751-8121/ac0a2  

[9] M. Gallone, S. Pasquali, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, Nonlinearity 34 4983 (2021) doi: 10.1088/1361-6544/ac0483

[8] M. Gallone, A. Michelangeli, Quantum particle across Grushin singularity, J. Phys. A: Math. Theor. 54, 215201 (2021) doi: 10.1088/1751-8121/abeb81  

[7] M. Gallone, A. Michelangeli, A. Ottolini, Krein-Višik-Birman self-adjoint extension theory revisited, in "Mathematical Challenges of Zero-Range Physics", INdAM-Springer series, vol. 42, 219-304 (2020)  doi: 10.1007/978-3-030-60453-0_12

[6]  M. Gallone, A. Michelangeli,  Self-adjoint extensions with Friedrichs lower bound, Complex Anal. Oper. Theory 14, 73 (2020) doi: 10.1007/s11785-020-01032-z

[5] M. Gallone, A. Michelangeli, Hydrogenoid spectra with central perturbations, in Reports on Mathematical Physics Volume 84, Issue 2, October 2019, Pages 215-243 , DOI https://doi.org/10.1016/S0034-4877(19)30084-9 

[4] M. Gallone, A. Michelangeli, E. Pozzoli, On geometric quantum confinement in Grushin-type manifolds, Z. Angew. Math. Phys. (2019) 70: 158 https://doi.org/10.1007/s00033-019-1203-2 

[3] M. Gallone, A. Michelangeli, Discrete spectra for critical Dirac-Coulomb Hamiltonians, Journal of Mathematical Physics 59, 062108 (2018); https://doi.org/10.1063/1.5011305

[2] M. Gallone, A. Michelangeli, Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei, Anal.Math.Phys. (2019) 9: 585-616. https://doi.org/10.1007/s13324-018-0219-7

[1] M. Gallone, Self-adjoint extensions of Dirac operator with Coulomb potential, in Advances in Quantum Mechanics, G. Dell' Antonio and A. Michelangeli, eds., vol. 18 of INdAM-Springer series, Springer International Publishing. pp. 169-185 (2017), doi 10.1007/978-3-319-58904-6_10

Prethermalization and conservation laws in quasi-periodically driven many-body quantum systems, 15 July 2025, Conference StatPhys29, Florence (Italy) (Poster)

Universality in the two-dimensional quasi-periodic Ising model, 14 July 2025, Conference StatPhys29, Florence (Italy)

Integrability and prethermalization in the Fermi-Pasta-Ulam-Tsingou lattice, 30 May 2025, Conference Wave Dynamics, Integrability and beyond, S. Margherita di Pula (Italy)

Quasi-Periodic Ising model and zero-energy properties of quasi-periodic lattice Dirac Operators, 8 April 2025, Workshop Recent Advances in Disordered Systems, Maison de la Recherche, CY Advanced Studies, Campus Neuville (France)

Prethermalization and conservation laws in quasi-periodically driven lattice quantum systems, 26 February 2025, Mathematical Physics Seminars, SISSA, Trieste (Italy)

Quasi-Periodic Ising Model and Harris-Luck Criterion, 14 February 2025, Mathematical Challenges in Quantum Mechanics, L'Aquila (Italy)

Prethermalization and conservation laws in time quasi-periodically driven quantum systems, 22 August 2024, Quantissima in the Serenissima V, Venice (Italy)

Self-adjoint extensions of the Aharonov-Bohm Hamiltonian: non-relativistic and δ-like limit, 15 July 2024, First Workshop on Singular Interactions and Effective Models in Mathematical Physics, Rome (Italy)

Ground States of NLS with Point Interaction and Coulomb Potential, 9 July 2024, Future Perspectives on Linear and Nonlinear Modelling of Contact-Type Perturbations, Rome (Italy)

Time quasi-periodically driven quantum systems: prethermalization and conservation laws, 2-7 June 2024, SPQT2024, S. Margherita di Pula (Italy)

Prethermalization and conservation laws in quasi-periodically driven quantum systems, 20 April 2023, Math Physics Seminar, Georgiatech, online

Universality in 2D quasi-periodic Ising modeland Harris-Luck irrelevance, 23 March 2023, Mathematics of Many Body Systems, SISSA, Trieste (Italy)

Integrable and Turbulent dynamics in the FPUT chain, 8 March 2023, Integrable Systems Seminars, SISSA, Trieste (Italy)

Self-Adjoint Extensions of the Dirac Coulomb Operators, 21 February 2023, Two Dirac Days, Università di Padova, Padova (Italy)

The Fermi-Pasta-Ulam problem: prethermal perspective, 23 January 2023, VU University (Amsterdam)

Two dimensional Ising model with weak quasi-periodic disorder, 9 January 2023, Mathematical Quantum Matter, Università degli Studi di Milano, Milan (Italy)

Prethermalization in Classical and Quantum Physics, 14 December 2022, La Sapienza (Roma)

Burgers Turbulence in the Fermi-Pasta-Ulam-Tsingou chain, 23 November 2022, GSSI-TNT-Sapienza Statistical Mechanics Webinars

The Laplace-Beltrami Operator on the Grushin Cylinder, 4 October 2022, Mini-Workshop: Zero-Range and Point-Like Singular Perturbations, MFO (Germany)

Two-dimensional Quasi-periodic Ising model, 23 August 2022, Quantissima in the Serenissima IV

Perturbation of classical Hamiltonian field theories and application to the FPUT problem, 16 February 2022, SISSA (Trieste)

2D Ising model with quasi-periodic disorder, 22 December 2021, Università di Milano (Milano), Quantum before Christmas

Self-adjoint Laplacians on the Grushin cylinder, 5 October 2021, Politecnico di Torino (Torino)

Geometric Quantum Confinement and Transmission on Grushin-type Manifolds, August 2021, Geneva (Switzerland), International Congress on Mathematical Physics (poster)

Slow thermalisation in 1D and 2D lattices 2 March 2021, Lund (Sweden)*, Seminar on Analysis, Geometry and PDEs

On Geometric Quantum Confinement in Grushin-type Manifolds 20 August 2019, Venice, Quantissima in the Serenissima III

Self-adjoint realisation(s) of quantum Hamiltonians with symmetry 24-26 July 2019, ICTP (Trieste), Trieste Junior Quantum Days (poster)

On Geometric Quantum Confinement in Grushin-type Manifolds 22 March 2019, SISSA (Trieste), AJS Seminar

What is the ergodic problem? 14 March 2019, Geometry and Mathematical Physics Student Seminars (SISSA, Trieste)

Darwin-Like perturbations of the Hydrogen Spectra, 11 July 2018, Mathematical Challenges of Zero-Range Physics: Rigorous Results and Open Problems (Rome)

Fermi-Pasta-Ulam-Tsingou: When Paradox Turns into Discovery 22 June 2018, Geo & Math Phys Student Seminars (SISSA, Trieste)

Dirac operators with Coulomb Interaction 18 June 2018, International Workshop on PDEs: Analysis and Modelling (Zagreb)

The Touchy Business of Formal Computations 18 May 2018, Trieste Junior Quantum Days (Universita' di Trieste)

FPU and KdV Hierarchy 13 April 2018, Il problema di Fermi-Pasta-Ulam: Stato dell'arte e prospettive (Scuola Galileiana, Padova)

Self-adjoint realisations of the Dirac-Coulomb Operator 19 February 2018, Mathematical Challenges in Quantum Mechanics (La Sapienza, Rome) 

Discrete Spectra and Self-Adjointness for Critical Dirac-Coulomb 12 December 2017, Università Milano Bicocca (Milano) 

Self-adjoint realisations of Dirac-Coulomb operators 24 November 2017, SISSA (Trieste), AJS Seminar 

Self-adjoint realisations of the Dirac operator with Coulomb interaction 24 May 2017, SISSA (Trieste), AMPQ Seminar 

Self-adjoint realisations of the Dirac-Coulomb Hamiltonian 12 May 2017, ICTP (Trieste), Junior Trieste Quantum Days 

A brief journey in Mathematical Physics 25 April 2017, Università di Padova

* = online due to COVID-19 pandemic

Riccardo Adami (Politecnico di Torino)

Filippo Boni (Scuola Superiore Meridionale)

Biagio Cassano (Università della Campania)

Ricardo Grande (SISSA)

Beatrice Langella (SISSA)

Vieri Mastropietro (Università di Roma "La Sapienza")

Alessandro Michelangeli (American University in Bulgaria) 

Diego Noja (Università Milano Bicocca)

Andrea Ottolini (University of Washington)

Stefano Pasquali (SISSA (Trieste))

Antonio Ponno (Università di Padova)

Eugenio Pozzoli (Institut de Recherche Mathématique de Rennes)

Fabio Pizzichillo (Universidad Politecnica de Madrid)

Bob Rink (Vrije Universiteit Amsterdam)

Stefano Ruffo (SISSA (Trieste) )

Invited at conferences

• ASIDE 15: Abecedarian of SIDE 15, Università di Milano (Italy), 9-13 June 2025

• Rigorous Renormalization Group Analysis of Collective Phenomena in Fermionic Quantum Systems, Como (Italy), 26-30 August 2024

• First Workshop on Singular Interactions and Effective Models in Mathematical Physics, Rome (Italy), 15-17 July 2024

• Future Perspectives on Linear and Nonlinear Modelling of Contact-Type Perturbations, Rome (Italy), 8 - 12 July 2024

• Two Dirac Days, Padova (Italy), 20-21 February 2023

• Mathematical Quantum Matter, Milan (Italy), 9-11 January 2023

• Mini-Workshop: Zero-Range and Point-Like Singular Perturbations, Oberwolfach (Germany), 3 - 7 October 2022

• Quantissima in the Serenissima IV, Venice (Italy), 15-26 August 2022

• Quantum before Christmas, Milan (Italy), 20-22 December 2021

• Mathematical Challenges of zero range physics: rigorous results and open problems, Rome (Italy), 9 - 13 July 2018

• International Workshop on PDEs: Analysis and Modelling, Zagreb (Croatia), 17 - 20 June 2018

• Il problema di Fermi-Pasta-Ulam: stato dell’arte e prospettive, Padova (Italy), 12 - 14 April 2018

Participation to conferences/workshops/schools

• Scienza Nuova, Merano (Italy), 21 July - 25 July 2025

• Future Perspectives on Wave Dynamics, Tarvisio (Italy), 30 June - 4 July 2025

• Wave dynamics, integrability and beyond, S. Margherita di Pula (Italy), 26-30 May 2025

• Recent advances in Disordered Systems, Neuville (France), 7-9 April 2025

• Conclusive Workshop of the PRIN 2020XB3EFL, Venice (Italy), 24-26 March 2025

• Mathematical Challenges in Quantum Mechanics, L'Aquila (Italy), 10-14 February 2025

• Quantissima in the Serenissima V, Venice (Italy), 19-23 August 2024

• SPQT2024-Symmetries and Perturbation in Quantum Theory, S. Margherita di Pula (Italy), 2-7 June 2024

• Quantum and Dynamical Christmas, Università di Milano (Milano), 19-22 December 2023

• 50 years of Mountain Pass Theorem, SISSA (Trieste), 23-25 November 2023

• School/Workshop on Wave Dynamics: Turbulent vs Integrable Effects, ICTP (Trieste), 28 August-1 September 2023

• Conference (Puglia Summer Trimester 2023-Singularities, Asymptotics and Limiting Models), Università di Bari "A. Moro", 26-30 June 2023

• Analysis and PDEs: remembering Thomas Kappeler, University of Zurich (Zurich, Switzerland), 5-9 June 2023

• Summer School (Puglia Summer Trimester 2023-Singularities, Asymptotics and Limiting Models), Università di Bari "A. Moro", 9-12 May 2023

• Opening Workshop (Puglia Summer Trimester 2023 -Singularities, Asymptotics and Limiting Models), Università di Bari "A. Moro", 17 April 2023 

• Trails in Quantum Mechanics and Surroundings, SISSA (Trieste), 8-10 February 2023

• Universality in Condensed Matter and Statistical Mechanics, Università Roma 3 (Roma), 6-8 February 2023

• Workshop on Singular Perturbations and Geometric Structures, SISSA (Trieste), 21-23 November 2022

• The many facets of Statistical Field Theory, SISSA, Trieste (Italy), 17-19 October 2022

• Trials in Wave Turbulence : from random waves to kinetic equations, GSSI, L'Aquila (Italy), 5-10 September 2022

• Wave turbulence and beyond, Università di Torino, Torino (Italy), 18-21 July 2022

• Mathematical Challenges in Quantum Mechanics, Insubria University, como (Italy), 13-18 June 2022

• Advances in Classical, Quantum and Statistical Mechanics, Università Roma 3 (Roma), 11-13 May 2022

• Exact Quantisation and Applications to Condensed Matter Systems, SISSA (Trieste), 27-30 September 2021

• Statistical and Quantum Mechanics: reconsidering their foundations in the light of new cutting edge experiments and theoretical models, GSSI (L'Aquila), 20-23 September 2021 (online)

• Qualitative properties of dispersive PDEs, Globus Hotel, Roma (Italy), 2-4 September 2021 (online)

• International Congress on Mathematical Physics, International Conference Centre Geneva, Geneva (Switzerland), 2-7 August 2021

• Young Researchers Symposium, University of Geneva, Geneva (Switzerland), 29-31 July 2021

• Quantissima in the Serenissima III, Venice (Italy), 19 - 23 July 2019

• Trieste Junior Quantum Days, Trieste (Italy), 24 - 26 July 2019

• Matematica a Misura della Natura, Padova (Italy), 13 - 14 September 2018

• International Congress on Mathematical Physics, McGill University, Montreal (Canada), 23 - 27 July 2018

• Young Researchers Symposium, McGill University, Montreal (Canada), 20 - 21 July 2018

• Junior Trieste Quantum Days, Trieste (Italy), 11, 18 May 2018

• Junior Math Days, Trieste (Italy), 6 - 10 May 2018

• Mathematical Challenges in Quantum Mechanics, Rome (Italy), 19 - 24 February 2018

• Trails in Quantum Mechanics and Surroundings, Trieste (Italy), 29 - 30 January 2018

• Insubria Summer School in Mathematical Physics. Spectral and scattering theory: from selfadjoint operators to boundary value problems, Como (Italy), 18 - 22 September 2017;

• Junior Trieste Quantum Days 2017, Trieste (Italy), 12, 19 May 2017;

• Spectral Days 2017, Stuttgart (Germany), 3 - 7 April 2017;

• Workshop on Macroscopic Limits of Quantum Systems, München (Germany), 30 March - 1 April 2017;

• Trieste Quantum Days 2017, Trieste (Italy), 20 - 24 February 2017;

• Linear and Nonlinear Dirac Equation: advances and open problems, Como (Italy), 8 - 10 February 2017;

• OTIND - Operator Theory and Indefinite Inner Product Spaces, Wien (Austria), 17 - 20 December 2016;

• Mathematical Challenges of Zero-range physics: rigorous results and open problems, Trieste (Italy), 7 - 10 November 2016

• Summer School: Universality, Scaling Limits and Effective Theories, Rome (Italy), 11 - 15 July 2016;

• Contemporary Trends in the Mathematics of Quantum Mechanics, Rome (Italy), 4 - 8 July 2016;

• Trieste Quantum Days, Trieste (Italy), 21 - 23 June 2016;

• Mathematical Challenges in Quantum Mechanics, Bressanone (Italy), 8 - 13 February 2016.