Algebra und Geometrie
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Dr. Matteo Costantini
I am interested in the study of representations of fundamental groups of Riemann surfaces and the corresponding flat vector bundles. In particular I like how algebraic geometry allows to study dynamical system invariants on the moduli space of flat vector bundles. I am also interested in the study of special flat bundles given as the cohomology vector bundles over affine invariant submanifolds of strata of abelian differentials.
Publications and Preprints
(arXiv:1810.12623 [math.GT] )
My thesis, Lyapunov exponents on character varieties and Teichmüller curves, was defended on September 12, 2018, and was supervised by Prof. Dr. Martin Möller.
In my master thesis I studied algebraic cycles on K3 surfaces. I focused on understanding some recent articles related to conjectures about 0-cycles on this surfaces. I took my master degree in Milan (Italy) with Prof. Van Geemen as my advisor.