Abstract: I present some results concerning the number of critical points and the number of nodal domains of Steklov eigenfunctions. The results have been obtained in collaboration with Luca Battaglia...
Abstract: Farò una veloce panoramica dei miei principali interessi di ricerca focalizzata sui seguenti temi:L’interdisciplinarità nella didattica della MatematicaL’uso delle tecnologie per l’inse...
Abstract: The mere existence and the spectroscopic behavior of pyramidal molecules like ammonia have remained unsolved problems since the early developments of quantum mechanics. A possible solution c...
Abstract: In this talk I will describe some of the mathematical aspects of disordered topological insulators. These are novel materials which insulate in their bulk but (may) conduct along their edge;...
Abstract: In the last decades, since the first experimental realizations of Bose- Einstein condensates, the study of large bosonic systems has been a very active field of research both in physics...
Abstract: In 2014, Vaughan Jones introduced methods to construct unitary representations of Thomp- son groups F, T, V (from planar algebras or Cuntz algebras) and another to produce knots from th...
Abstract: Le equazioni alle derivate parziali iperboliche descrivono numerosi fenomeni fisici e trovare soluzioni analitiche di questi problemi è spesso impossibile. Per questo dobbiamo ricorrere a me...
Let G be a complex reductive group and C be a complex smooth projective curve of genus at least two. The moduli space of G-Higgs bundles over C has a natural structure of holomorphic symplectic quasi-...
Motivated by physics, in the late 1990s Sen discussed a construction of complete hyperkähler metrics in (real) dimension 4 and so-called ALF (asymptotically locally flat) asymptotics as a "superpositi...
Associative submanifolds are certain calibrated submanifolds in G2-manifolds. There is the hope that counting them will reveal subtle information about the underlying G2-structure. On the other hand, ...
Spesso molti esempi di varietà simplettiche con azioni Hamiltoniane di gruppi vengono dalla geometria algebrica; questo è il caso, per esempio, per le varietà simplettiche toriche, nelle quali la dime...
