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.
Aktuelles
Bonner Mathematik schneidet bei QS-Ranking wieder hervorragend ab
Stefan Schwede eingeladener Sprecher auf dem ECM 2024 in Sevilla
Cole Prize für Jessica Fintzen
Regula Krapf erhält Lehrpreis der Universität
Catharina Stroppel in Nordrhein-Westfälische Akademie der Wissenschaften und Künste aufgenommen.
Daniel Huybrechts erhält Compositio Prize für die Periode 2017-2019
Catharina Stroppel erhält Gottfried Wilhelm Leibniz-Preis 2023
Stipendien für Mathematikstudierende aus der Ukraine
Jessica Fintzen erhält einen Whitehead Prize der London Mathematical Society