Dr. Matteo Costantini
Research Interests
I am interested in the geometry of affine invariant submanifolds of strata of abelian differentials and the moduli space of Riemann surfaces. I am also interested in the study of representations of fundamental groups of Riemann surfaces and the corresponding flat vector bundles.
Publications and Preprints
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Gap between Lyapunov exponents for Hitchin representations (with Florestan Martin-Baillon)
( arXiv:2211.03651[math.DS] ) -
On the Kodaira dimension of moduli spaces of Abelian differentials (with Dawei Chen and Martin Möller)
(arXiv:2112.04238[math.AG] ) (GP/Pari files for the computer assisted proofs: minimalstratumsmallgenera, minimalstratumhighgenera) -
Integrals of ψ-classes on twisted double ramification cycles and spaces of differentials (with Adrien Sauvaget and Johannes Schmitt)
(arXiv:2112.04238[math.AG] ) -
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] )(Forum of Mathematics, Pi , Volume 10 , 2022 , e16, DOI: https://doi.org/10.1017/fmp.2022.10)
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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)
(Experimental mathemathics (2021),DOI: 10.1080/10586458.2021.1980750) (longer version: arXiv:2006.12815 [math.AG] )
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The area is a good enough metric (with Martin Möller and Jonathan Zachhuber)
(Accepted in Annales de l'institut Fourier) (arXiv:1910.14151 [math.AG] )
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Lyapunov exponents, holomorphic flat bundles and de Rham moduli space
( Israel J. Math. 240 (2020), no. 1, 345–415) (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])