Research Papers
and Preprints
Research Interests
Index theory for ordinary/partial differential operators. Maslov index and Spectral flow for paths of self-adjoint (un)bounded Fredholm operators
N-body problem, N-vortex problem. Linear stability and index theory of periodic, colliding and parabolic motions. Equivariant central configurations
Semi-Riemannian geometry. Conjugate points along a semi-Riemannian geodesics, bifurcation of geodesics and conjugate points. Semi-Riemannian Bott type iteration formula
Grants
(2014--2017) ERC Project (Advanced Grants 2013) Complex Patterns for Strongly Interacting Dynamical Systems (COMPAT) PI. Prof. Susanna Terracini.
PRIN 201 (Italian Project of National Relevance). PI.Prof. S. Terracini
(2012--2013) GNAMPA (National Group of Mathematical Analysis, Probability and Applications) Research Project: "Indice di Maslov per operatori differenziali in dimensione finita e infinita''. PI. Dr. Roberta Fabbri
(2011) Progetto 5xmille per la ricerca (Università del Salento) Research project: "Collisioni fra vortici puntiformi e fra filamenti di vorticità: singolarità, trasporto e caos''. PI Dr. Alessandro Portaluri
(2012--2013) GNAMPA (National Group of Mathematical Analysis, Probability and Applications) Research Project: "Equazioni differenziali con potenziali singolari: il problema degli N-corpi classico e quantistico". PI. Prof. Veronica Felli
(2009—2011) PRIN 2009 (Italian Project of National Relevance) Research Project: "Teoria dei punti critici e metodi perturbativi per equazioni differenziali nonlineari''. PI.Prof. Susanna Terracini