Dr. Matteo Costantini
costanti(at)math.uni-bonn.de | |
Office | 2.003 |
Address | Endenicher Allee 60, 53115 Bonn, Germany |
Lehre im Sommersemester 2020:
Graduate Seminar on Global analysis (S4B3)
(organized with Prof. Lesch and Dr. van den Dungen )
Sprechstunde: Nach Vereinbarung
Lehre im Wintersemester 2019/20:
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
-
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] )
-
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] )
-
The area is a good enough metric (with Martin Möller and Jonathan Zachhuber)
(arXiv:1910.14151 [math.AG] )
-
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])
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.
News
Bonn mathematics performs excellently again in QS ranking
Stefan Schwede is invited speaker at the ECM 2024 in Sevilla
Jessica Fintzen wins Cole Prize
Regula Krapf receives university teaching award
Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Grants for Mathematics students from Ukraine
Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Peter Scholze elected as Foreign Member of the Royal Society