Stefano Pasquali

e-mail: stefano.pasquali(at)universite-paris-saclay.fr


My CV

link to Researchgate profile


Current position: 

October 2022 - September 2024: Post-doc researcher at "Université Paris-Saclay" (Orsay, France). Fellowship funded by the MathInGreaterParis Fellowship Programme, cofunded by Marie Sklodowska-Curie Actions H2020-MSCA-COFUND-2020. Supervisor: Prof. Patrick Gérard Secondments and travel fundings: 3600 euros secondment fundings by the Fondation Mathématiques Jacques Hadamard (FMJH) 
Office: 2H1Université Paris-Saclay, CNRS, Laboratoire de mathématiques d’Orsay, 91405, Orsay, France 

Research interests:

Previous positions


• Researcher at Lund University, August 2020 - August 2022 within the ERC project 3DWATERWAVES (Mathematical aspects of three-dimensional water waves with vorticity)Supervisor of the project: Prof. Erik Wahlén
  • 2021: qualification for the “Maître de conférences” title, France, under section 26 - Mathématiques appliquées et applications des mathématiques 
( event: campagne 2021, date: 10/02/2021, qualification number: 21226358337 )
  • October 2020-August 2022: co-organizer of the ``Seminar on Analysis, Geometry, and PDEs'' weekly seminar activity, Lund
  • 2020: review of a grant proposal for the National Science Center, Poland

• High-school teaching, 27 January 2020 - 13 June 2020Mathematics and Physics teaching at the high-school "I.I.S. Einstein", Piove di Sacco (Padua, Italy)
• postdoc at BGSMath-UPC (Barcelona, Spain), December 2018 - December 2019Fellowship funded through the Maria de Maeztu Unit of Excellence Award and the Barcelona Graduate School of Mathematics.Supervisor: Prof. Marcel Guardia
• "Assegnista di ricerca" (postdoc) at the University of Roma Tre, October 2017 - September 2018  within the ERC project HamPDEs (Hamiltonian PDEs and small divisor problems: a dynamical systems approach)Supervisor of the project: Prof. Michela Procesi

Education

• PhD in Mathematical Sciences at the University of Milan, April 2017Title of the PhD thesis: Long time dynamics of the Klein-Gordon equation in the nonrelativistic limitAdvisor: Prof. Dario Bambusi
• Graduated in Mathematics at the University of Padua, September 2013Title of the master thesis: Covariant Lyapunov Vectors for the FPU modelAdvisors: Prof. Giancarlo Benettin, Prof. Antonio Ponno

Publications and preprints

10. M. Groves, D. Nilsson, S. Pasquali and E. Wahlén, Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows, 

preprint on arXiv:2307.01702 


9. S. Pasquali, Energy cascade for the Klein-Gordon lattice, 

preprint on arXiv:2304.07146 


8. F. Giuliani, M. Guardia, P. Martin and S. Pasquali, Chaotic resonant dynamics and exchanges of energy in Hamiltonian PDEs, 

Rendiconti Lincei - Matematica e Applicazioni 32, 149-166, 2021

DOI 10.4171/RLM/931

equivalent preprint on arXiv:2011.12793 


7. F. Giuliani, M. Guardia, P. Martin and S. Pasquali, Chaotic-like transfers of energy in Hamiltonian PDEs, 

Communications in Mathematical Physics , 2021

https://doi.org/10.1007/s00220-021-03956-9

equivalent preprint on arXiv:2006.09309


6. M. Gallone and S. Pasquali, Metastability phenomena in two-dimensional rectangular lattices with nearest-neighbour interaction, 

Nonlinearity, vol. 34, 4983, 2021

https://doi.org/10.1088/1361-6544/ac0483 

equivalent preprint on arXiv:1911.12648


5. S. Pasquali, Dynamics of the nonlinear Klein-Gordon equation in the nonrelativistic limit, 

Annali di Mat. Pura ed Applicata (1923 -), 198(3), 903-972, 2019

https://doi.org/10.1007/s10231-018-0805-1 

preprint on arXiv:1703.01609 and arXiv:1712.03768


4. R. Feola, F. Giuliani and S. Pasquali, On the integrability of Degasperis-Procesi equation: control of the Sobolev norms and Birkhoff resonances, 

Journal of Differential Equations, 266 (6), 3390-3437, 2019

https://doi.org/10.1016/j.jde.2018.09.003

equivalent preprint on arXiv:1802.00035


3. G. Benettin, S. Pasquali and A. Ponno, The Fermi-Pasta-Ulam problem and its underlying integrable dynamics: an approach through Lyapunov Exponents, 

Journal of Statistical Physics, 171 (4), 521-542, 2018 

https://doi.org/10.1007/s10955-018-2017-x 

equivalent preprint on arXiv:1801.05199


 2.  S. Pasquali, A Nekhoroshev type theorem for the nonlinear Klein-Gordon equation with potential,

 Discrete and Continuous Dynamical Systems Series B, 23 (9), 3573-3594, 2018

https://doi.org/10.3934/dcdsb.2017215 

equivalent preprint on arXiv:1705.03105


Journal of Mathematical Physics, 59, 011502, 2018 

https://doi.org/10.1063/1.4994969 

equivalent preprint on arXiv:1703.01618


In preparation

Collaborators


Scientific Communications (in the last 5 years)


• 5th June 2024: Seminar, “Study of a generalized Dirichlet-Neumann operator for 3D water waves with general vorticity”, Oberseminar Angewandte Analysis, Department of Mathematics, Saarbrücken, Germany

• 21st May 2024: Seminar, “Study of a generalized Dirichlet-Neumann operator for 3D water waves with general vorticity”, PDE Seminars, Matematikcentrum, Lund, Sweden

• 8th February 2024: Seminar, “Asymmetrical 3D water waves on Beltrami flows”, Groupe de travail EDP, Laboratoire d’Analyse et de Mathématiques Appliquées, Université Gustave Eiffel, Créteil, France

• 21th September 2023: Seminar, “Asymmetrical 3D water waves on Beltrami flows”, Order and Randomness in Partial Differential Equations, Institut Mittag-Leffler, Sweden

• 27th June 2023: Seminar, “Instability phenomena in PDEs and applications”, MathInGP Postdoctoral Research Symposium, Campus Jussieu,

Paris, France

• 10th May 2023: Seminar, “An energy cascade phenomenon for a Klein-Gordon lattice”, Analysis Seminars, Department of Mathematics and Physics, Università degli Studi Roma Tre, Rome

• 13th Mar. 2023: Seminar, “Continuous approximation of multidimensional Hamiltonian lattices”, PDE Seminars, Matematikcentrum, Lund, Sweden

• 22nd Feb.2023: Seminar, “Continuous approximation of multidimensional Hamiltonian lattices”, Oberseminar Angewandte Analysis, Department of Mathematics, Saarbrücken, Germany

• 27th Oct. 2022: Seminar, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Laboratoire de Mathématiques d’Orsay, Université Paris-Saclay, Orsay, France

• 5th Jul. 2022: Poster session, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Conference "Global and Local Aspects in Dynamical Systems", Barcelona, Spain

• 28th Jun. 2022: Seminar, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Department of Mathematics, Saarbrücken, Germany

• 16th Mar. 2022: Invited talk, “Asymmetrical 3D Gravity Waves on Beltrami Flows”, Minisymposium Analysis of Water Waves, SIAM Conference on Analysis of Partial Differential Equations 2022, Berlin, Germany

• 15th Feb. 2022: Contributed talk, “Metastability in 2D rectangular lattices with nearest-neighbour interaction”, Mathematics of Wave Phenomena,

Karlsruhe Institute of Technology, Karlsruhe, Germany

• 19th Jan. 2022: Seminar, “Metastability in 2D rectangular lattices with nearest-neighbourinteraction”, Department of Mathematics, Technical Universität München, München, Germany

• 2nd Nov. 2021: Seminar, “Chaotic-like transfers of energy in Hamiltonian PDEs”, Department of Mathematics, Università degli Studi di Roma Tor

Vergata, Rome

• 30th Jul.2021: Contributed talk, “Chaotic-like transfers of energy in Hamiltonian PDEs”, Young Researchers Symposium (YRS), International

Congress of Mathematical Physics 2021(ICMP 2021), University of Geneva, Switzerland

• 17th Dec. 2020: Seminar, “Chaotic-like transfers of energy in Hamiltonian PDEs”, Online North East PDE and Analysis Seminar (ONEPAS), co-

organized by Carnegie Mellon University - Department of Mathematical Sciences, University of Toronto - Math Department and Brown University

- Department of Mathematics

• 22nd Sept. 2020: Seminar, “Transfer of energy in nonlinear Hamiltonian PDEs”, Seminar on Analysis, Geometry, and PDEs, Matematikcentrum, Lund, Sweden

• 4th Jul. 2019: Seminar, “Stability and instability phenomena in Hamiltonian lattices and in Hamiltonian PDEs”, Jornada de recerca del Departament de Matemátiques de la UPC, Barcelona, Spain

• 13th Feb.2019: Seminar, “Birkhoff Normal Form results for singular limits of nonlinear Hamiltonian PDEs”, Seminari De Sistemes Dinàmics UB-UPC, Barcelona, Spain