Algebra und Geometrie
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M.Sc. Theresa Kumpitsch
Research interests
I’m a second 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).
Past events
Conference "Women in Algebra and Symbolic Computations" (Poster), December 9-11, 2019 (Bad Dürkheim)
Part of the thematic trimester “Reinventing Rational Points”, July 1 – 12, 2019 (IHP, Paris)
CMI-HIMR Summer School in Computational Number Theory, June 17 – 28, 2019 (Bristol)
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
Wintersemester 2019/20: Übungen zur Algebra (Prof. Jakob Stix)
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. You can check out what we did in past courses here (in German). Next years topic will be "Invariants in algebra, geometry and topology". If you are a teaching student (Mathematik L3) interested in participating in the program as a mentor, contact me!
