Algebra und Geometrie
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- Dr. Barbara Bolognese
- Dr. Jiaming Chen
- Lucie Devey
- Jaro Eichler
- Dr. Lorenzo Fantini
- Felix Göbler
- Dr. Andreas Gross
- Dr. Johannes Horn
- Dr. Inder Kaur
- Kevin Kühn
- Theresa Kumpitsch
- Dr. Marcin Lara
- Rosemarie Martienssen
- Dr. Matthias Nickel
- Dr. Anna-Maria von Pippich
- Markus Rennig
- Stefan Rettenmayr
- Felix Röhrle
- Johannes Schwab
- Jeonghoon So
- Pedro Souza
- Dr. Andrea Thevis
- Yiu Man Wong
- Dr. Matti Würthen
- Adrian Zorbach
- Riccardo Zuffetti
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Dr. David Torres-Teigell
Wintersemester 2018/19:
Lehre vergangener Semester:
- SoSe 19: Komplexe Algebraische Geometrie II
- WiSe 18/19: Komplexe Algebraische Geometrie
Research Interests:
- Moduli space of curves: Teichmüller curves, flat surfaces, Teichmüller dynamics
- Abelian varieties: Shimura varieties, Hilbert modular surfaces, theta functions
- Fuchsian groups: triangle groups, quadrilateral groups, arithmetic Fuchsian groups
- Belyi-Grothendieck theory: dessins d'enfants, Beauville surfaces
Publications:
- Euler characteristics of Gothic Teichmüller curves (with M. Möller) [arXiv], Geom. Topol., to appear (2019).
- Orbifold points on Prym-Teichmüller curves on genus four (with J. Zachhuber) [arXiv, journal], J. Inst. Math. Jussieu, Vol. 18 (2019), Issue 4, 673-706.
PARI/GP code: [files, documentation] - Arbitrarily large Galois orbits of non-homeomorphic surfaces (with G. González-Diez and G. A. Jones) [arXiv, journal], European Journal of Mathematics 4 (2018), Issue 1, 223-241.
- Orbifold points on Prym-Teichmüller curves on genus three (with J. Zachhuber) [arXiv, journal], Int. Math. Res. Notices, Vol. 2018, Issue 4, 1228-1280.
PARI/GP code: [files, documentation] - Fields of definition of uniform dessins on quasiplatonic surfaces (with E. Girondo and J. Wolfart), [pdf, journal, Appendix], in Riemann and Klein Surfaces, Automorphisms, Symmetries and Moduli Spaces, Contemporary Mathematics, 629 (2014), 155-170.
- Beauville surfaces with abelian Beauville group (with G. González-Diez and G. A. Jones) [arXiv, journal], Math. Scand. 114 (2014), no. 2, 191-204.
- Non-homeomorphic Galois conjugate Beauville structures on PSL(2,p) (with G. González-Diez) [pdf, journal], Adv. Math. 229 (2012), no. 6, 3096–3122.
- Shimura curves with many uniform dessins (with E. Girondo and J. Wolfart) [pdf, journal], Math. Z. 271 (2012), no. 3-4, 757-779.
- An introduction to Beauville surfaces via uniformization (with G. González-Diez) [pdf, journal], in Quasiconformal Mappings, Riemann Surfaces, and Teichmüller Spaces, Contemporary Mathematics, 575 (2012), 123-151.
- Genus 2 Belyi surfaces with a unicellular uniform dessin (with E. Girondo) [pdf, journal], Geom. Dedicata 155 (2011), 81-103.
- ZN-curves Possessing No Thomae Formulae of Bershadsky–Radul Type (with G. González-Diez) [pdf, journal], Lett. Math. Phys. 98 (2011), no. 2, 193-205.
Preprints:
- Masur-Veech volume of the gothic locus [arXiv] (2019).