Algebra und Geometrie
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- Maximilian Bieri
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- Theresa Kumpitsch
- Dr. Sara Lamboglia
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M.Sc. Theresa Kumpitsch
Research interests
I’m a first year PhD student with Jakob Stix in the LOEWE research unit “Uniformized Structures in Arithmetic and Geometry”. My research area is Arithmetic Geometry, which roughly deals with questions from number theory using algebro-geometric techniques. In particular, I’m interested in anabelian geometry, i.e. the theory of reconstructing certain varieties from their fundamental group. In my PhD project, I study rational points of p-adic curves via approaches of the pro-finite form of the section conjecture. Currently, I’m thinking about whether/how you can endow (a subspace of) the space of section with a p-adic topology.
In my master thesis I studied Krull-valuations on function fields of arithmetic surfaces. You can find it here (in German).
Upcoming events
CMI-HIMR Summer School in Computational Number Theory, June 17 – 28, 2019 (Bristol)
Part of the thematic trimester “Reinventing Rational Points”, July 1 – 12, 2019 (IHP, Paris)
Past events
Pre-School “Analytic and geometric methods for rational points”, April 8 – 12, 2018 (CIRM, Luminy)
Arizona Winter School 2019: Topology and Arithmetic, March 2 – 6, 2018 (Tucson)
Chow Lectures by Peter Scholze, November 05 – 07, 2018 (Leipzig)
Utrecht Summer School on Geometry, August 20 – 31. 2018 (Utrecht)
Teaching
I’m not doing any teaching this term (Sommersemester 2019)
Other activities
I’m member of the equality council (Gleichstellungsrat) of the Department of Computer Sciences and Mathematics (Fachbereich 12). We are currently conducting a survey to increase our visibility in the department and assess the needs of students. If you have any ideas, feedback or questions, let us know (gleichstellungsrat-fb12@math.uni-frankfurt.de). If you simply want cool Ada Lovelace or Emmy Noether stickers, visit me at my office!
Since 2014 I’m involved with the math course at Hessische Schülerakademie (Oberstufe) – a summer program for gifted high school students interested in a variety of topics. This year we are going to learn about Plane Algebraic Curves. You can check out what we did in past courses here (in German). We are always looking for teaching students interested in participating in the program. If you fare interested in the program, contact me!
