Homepage of Péter Tóth

Personal Information

I am a PhD student in mathematics at the Mathematical Departement of the Humboldt University in Berlin
and also a member (Phase II student) of the Berlin Mathematical School.

My advisor is Gavril Farkas.

Office: Room 1.408
Johann von Neumann Haus
Rudower Chaussee 25
12489 Berlin
Germany

E-mail: toth at mathematik dot hu-berlin dot de
Telephone: +49 30 2093 5462

Research Interest

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.

Articles, Preprints and Notes

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.

Teaching

Conferences and schools

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

CV

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.