differential geometry, geometric analysis, analytical and geometrical
problems related with constant mean curvature surfaces in three
dimensional homogeneous manifolds, higher symmetric curvature functions
of hypersurfaces in riemannian manifolds.
Carlo Maria Scoppola: group theory, representations and characters of finite groups, p-groups and pro-p groups.
- Lucio Bedulli: (complex)
differential geometry. In particular: geometric flows and solitons;
geometry of special structures; Hamiltonian actions on symplectic
manifolds and Lagrangian submanifolds.
- Maria Lucia Fania:
algebraic geometry. In particular: projective techniques of
classification and special varieties, linear systems and adjoint maps,
varieties of small codimension, Hilbert schemes.
- Alessandro Fedeli: set-theoretic topology, topological and symbolic dynamics.
- Norberto Gavioli:
group theory, finite p-groups, nilpotent groups, pro-p groups,
pro-finite groups, graded Lie algebras, modular Lie algebras and their
representations, character and representation theory of finite groups.
- Anna Guerrieri: commutative algebra, Noetherian rings, blowup algebras, invariants of ideals with specific structures.
- Anna Tozzi
- Riccardo Aragona: algebraic
cryptography. In particular: group theoretical properties of symmetric
cryptosystems and algebraic attacks. Group theory. Semigroup theory and
applications. Representation theory of finite-dimensional algebras.
- Margherita Lelli Chiesa:
algebraic geometry. In particular: moduli spaces of curves,
Brill-Noether theory, moduli spaces of sheaves on algebraic surfaces,
K3 surfaces, coherent systems.
- Vlad Moraru: Riemannian geometry, comparison geometry, minimal and constant mean curvature submanifolds, general relativity.
- Giuseppe Pipoli:
differential geometry, geometric analysis, study of geometric flows
(for example mean curvature flow and inverse mean curvature flow) of
submanifolds in Riemannian manifolds.
- Joan Pons-Llopis: algebraic
geometry. In particular: moduli spaces of vector bundles, Ulrich
bundles, instanton bundles, graded resolution of zero dimensional
schemes, Hilbert schemes.