Tommaso de Fernex

Subjects

Geometry, algebraic, Algebraic Geometry, Congresses, $K$-theory -- Higher algebraic $K$-theory -- $Q$- and plus-constructions, Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Positive characteristic ground fields, Algebraic geometry -- Birational geometry -- Minimal model program (Mori theory, extremal rays), Algebraic geometry -- Birational geometry -- Rationality questions, Algebraic geometry -- Curves -- Families, moduli (algebraic), Algebraic geometry -- Families, fibrations -- Variation of Hodge structures, Algebraic geometry -- Projective and enumerative geometry -- Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants, Algebraic geometry -- Surfaces and higher-dimensional varieties -- Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Commutative algebra, Commutative algebra -- Homological methods -- Syzygies, resolutions, complexes, Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.).