Martin Möller (mathematician)
Martin Möller (born April 25, 1976 ) is a German mathematician who deals with algebraic geometry and dynamic systems.
Möller received his doctorate in 2002 under Frank Herrlich at the Karlsruhe Institute of Technology (modular rooms of irregularly fiberized surfaces). As a post-doctoral student he was in Paris. He taught at the University of Duisburg-Essen , was at the Max Planck Institute for Mathematics in Bonn (2007) and is a professor at the Goethe University in Frankfurt am Main .
He deals with Teichmüller curves ( algebraic curves in modular spaces of curves), Shimura curves and generally fibrous complex surfaces and dynamic systems (including billiards in polygonial spaces that are related to Teichmüller curves).
He received an ERC Starting Grant ( Flat surfaces ) and is invited to speak at the International Congress of Mathematicians 2018 in Rio de Janeiro . In 2009 he received the Gay Lussac Humboldt Prize and in 2008 the Karl Arnold Prize .
He is a passionate racing cyclist and mountaineer.
Fonts (selection)
- Finiteness results for Teichmüller curves , Arxiv 2005
- Teichmueller curves, Galois actions and GT-relations, Math. Nachrichten, Volume 278, 2005, pp. 1061-1077, Arxiv
- Periodic points on Veech surfaces and the Mordell-Weil group over a Teichmueller curve, Inventiones Mathematicae, Volume 165, 2006, pp. 327-344, Arxiv
- Variations of Hodge structure of Teichmueller curves, Journal of the AMS, Volume 19, 2006, pp. 327-344, Arxiv
- Linear manifolds in the moduli space of one-forms, Duke Math. J., Volume 144, 2008, pp. 447-488, Arxiv
- Affine groups of flat surfaces, in: A. Papadopoulos (Ed.), Handbook of Teichmüller theory, Volume 2, 2009, pp. 369-387
- with Irene Bouw: Teichmüller curves, triangle groups, and Lyapunov exponents, Annals of Mathematics, Volume 172, 2010, pp. 139-185, Arxiv
- with cattle path: Kobayashi geodesics in , J. Diff. Geom., Volume 86, 2010, pp. 355-379, Arxiv
- Shimura and Teichmüller curves, Journal Modern Dynamics, Volume 5, 2011, pp. 1-32, Arxiv
- Theta derivatives and Teichmüller curves, Working Conference Bonn 2011, pdf
- Teichmüller curves, mainly from the viewpoint of algebraic geometry, in: Benson Farb, Richard Hain, Eduard Looijenga (ed.), Moduli spaces of Riemann surfaces, IAS Park City Mathematics Series 20, AMS 2011, p. 269, pdf
- with Matt Bainbridge: Deligne-Mumford compactification of the real multiplication locus and Teichmueller curves in genus three, Acta Mathematica, Volume 208, 2012, pp. 1-92, Arxiv
- with Eckart Viehweg , Kang Zuo: Stability of Hodge bundles and a numerical characterization of Shimura varieties, J. Diff. Geom., Volume 92, 2012, pp. 71-151, Arxiv
- with Carlos Matheus, Jean-Christophe Yoccoz : A criterion for the simplicity of the Lyapunov spectrum of square-tiled surfaces, Inv. Math., Vol. 202, 2013, pp. 333-425
- Prym covers, theta functions and Kobayashi curves in Hilbert modular surfaces, Amer. Journal. of Math., Volume 135, 2014, pp. 995-1022, Arxiv 2011
- with Elise Goujard: Counting Feynman-like graphs: Quasimodularity and Siegel-Veech weight, Arxiv 2016
- with Don Zagier : Modular embeddings of Teichmüller curves, Compositio Mathematica, Volume 152, 2016, pp. 2269–2349, Arxiv
Web links
- Homepage University of Frankfurt
- Moeller, old website of the University of Duisburg-Essen
- Anne Lemhöfer, The Billiard Researcher , Frankfurter Rundschau, March 16, 2010
Individual evidence
- ↑ Martin Möller in the Mathematics Genealogy Project (English)
- ↑ Partly in Maximally irregularly fibered surfaces of general type, Arxiv 2002
| personal data | |
|---|---|
| SURNAME | Möller, Martin |
| BRIEF DESCRIPTION | German mathematician |
| DATE OF BIRTH | April 25, 1976 |