Dr. Matteo Costantini
Research Interests
I am interested in the geometry of affine invariant submanifolds of strata of abelian differentials. I am also 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.
Publications and Preprints
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The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials (with Martin Möller and Jonathan Zachhuber)
(arXiv:2006.12803 [math.AG] )
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diffstrata – a Sage package for calculations in the tautological ring of the moduli space of abelian differentials (with Martin Möller and Jonathan Zachhuber)
(arXiv:2006.12815 [math.AG] )
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The area is a good enough metric (with Martin Möller and Jonathan Zachhuber)
(arXiv:1910.14151 [math.AG] )
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Lyapunov exponents, holomorphic flat bundles and de Rham moduli space
(accepted in Israel Journal of Mathematics)
(arXiv:1810.12623 [math.GT] )
- The equation of the Kenyon-Smillie (2,3,4)-Teichmueller curve (with André Kappes)
(Journal of Modern Dynamics, Volume 11, 2017, 17-41)
(arXiv:1601.02783v2 [math.GT])