Viviana Grasselli - personal web page

Preprints and publications

• "On the number of bound states for fractional Schrödinger operators with critical and super-critical exponent", with S. Breteaux and J. Faupin, 2024. [HAL] .

• "High frequency resolvent estimates for the magnetic Laplacian on non compact manifolds", 2024. [HAL] .

• "On the definition of zero resonances for the Schrödinger operator with optimal scaling potentials", 2023. [HAL] To appear in Osaka Journal of Mathematics.

• "Dispersive equations on asymptotically conical manifolds: time decay in the low frequency regime", Ann Glob Anal Geom 63, 17 (2023) [journal] [HAL]

PhD thesis

• "Study of the resolvent of the perturbed Schrödinger operator", defended in September 2023. [pdf]

Talks

• Journée de l'équipe Analyse et Théorie des nombres, Institut Elie Cartan de Lorraine, Metz, France. June 2024.

• Séminaire de Physique Mathématiques, Institut Camille Jordan, Lyon, France. April 2024.

• Journées des jeunes EDPistes en France, Institut de Mathématiques de Toulouse, France. March 2024.

• Séminaire Équations aux dérivées partielles, IRMAR, Rennes, France. February 2024.

• Séminaire Dynamique Quantique et Classique, Centre de Physique Théorique, Marseille. January 2024.

• Séminaire EDP et Physique mathématique, LAGA, Université Sorbonne Paris Nord. January 2024.

• Kick-off Meeting of the ANR-DFG project Effective Approximation and Dynamics of Many-Body Quantum Systems, Institut Elie Cartan de Lorraine, Metz. August 2023.

• Séminaire EDP, Analyse et Applications, Institut Elie Cartan de Lorraine, Metz. June 2023.

• Differential Equation Seminar, Department of Mathematics Graduate School of Science Osaka University. May 2023.

• Séminaire Problèmes Spectraux en Physique Mathématique, Institut Henri Poincaré Paris. December 2022.

• IMT PDEs students seminar, Institut de Mathématiques de Toulouse. June 2022.

• IMT Analysis seminar, Institut de Mathématiques de Toulouse. May 2022.

Poster sessions

• Summer school "Rigorous Renormalization Group Analysis of Collective Phenomena in Fermionic Quantum Systems", Lake Como School of Advanced Studies, Como, Italy. August 2024.

• Summer school "Effective Approximation and Dynamics of Many-Body Quantum Systems", Institut Elie Cartan de Lorraine, Metz, France. June 2024.

Other activities

• 2021-2023: Co-organiser of the PhD students seminar of the Institut de Mathématique de Toulouse .

• 2021-2023: Co-manager of the LabEx CIMI Twitter account.