## Homepage of Péter Tóth |

## Personal Information I am a PhD student in mathematics at the Mathematical Departement of the
Humboldt
University in Berlin My advisor is Gavril Farkas. Office: Room 1.408 E-mail: toth at mathematik dot hu-berlin dot de |

I am in the algebraic geometry group of the Math
Departement at Humboldt University in Berlin.

My field of interests floats around the "triangle": Moduli spaces
- (Arithmetic) Algebraic geometry - Number theory.

Especially I study the geometric and arithmetic properties of
moduli spaces of curves and Hurwitz stacks, twisted bundles, the geometric Langlands-correspondence and zeta functions.

Geometric
abelian
class field theory, master's thesis, 2011

This thesis has a twofold purpose. First we give a detailed treatment of geometric abelian class field theory concentrating on Deligne's geometric proof in order to remedy the unfortunate situation that the literature on this topic is very deficient, partial and sketchy written. In the second place we give also a detailed treatment of tamely ramified geometric abelian class field theory and more importantly we give a new geometric proof for the tamely ramified theory by adapting and leaning on Deligne's geometric argument in the unramified case.

This thesis has a twofold purpose. First we give a detailed treatment of geometric abelian class field theory concentrating on Deligne's geometric proof in order to remedy the unfortunate situation that the literature on this topic is very deficient, partial and sketchy written. In the second place we give also a detailed treatment of tamely ramified geometric abelian class field theory and more importantly we give a new geometric proof for the tamely ramified theory by adapting and leaning on Deligne's geometric argument in the unramified case.

- Arithmetic, Motives and Moduli Spaces, conference in Paris, January 9-13, 2012

- The motivic fundamental group, workshop in Leiden, May 23-27, 2011
- Moduli spaces, a master class organized by the Mathematical Research Institute in the Netherlands, 2010/2011
- Moduli, a conference in Berlin, August 21- 28, 2009

I studied mathematics at the Humboldt University in Berlin and
finished my undergraduate studies at the Mathematical Institute at
Utrecht
University. My thesis advisors were Jochen
Heinloth and Gunther Cornelissen. Parallel to that I was
also participating on the Master Class 2010/2011 Moduli Spaces.

Before all this I studied Law and Political Sciences at the Faculty
of Law at the Eötvös Lóránd University (ELTE) and
graduated in 2006.

More details in my CV.