Algebra und Geometrie
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M.Sc. Felix Röhrle
Current Research
As of January 2019 I am a PhD Student of Prof. Dr. Martin Ulirsch. I am interested in moduli spaces in algebraic as well as tropical geometry and their relations.
Lehre / Teaching
Im Wintersemester 2021/22 bin ich Übungskoordinator für Funktionentheorie und gewöhnliche Differentialgleichungen.
Preprints
Master Thesis
In May 2018 I graduated from the Technische Universität Kaiserslautern with the degree Master of Science. My master's thesis was created under supervision of Prof. Dr. Andreas Gathmann and is titled "The Enumerative Significance of Elliptic Gromov-Witten Invariants in P^3". It is concerned with the following question:
Given a set of points and lines in 3-dimensional projective space in general position. How many elliptic curves (embedded in P^3 with prescribed degree) are there, which meet all of these objects?
This kind of question is characteristic for the research area known as enumerative geometry and was answered by E. Getzler in Theorem A of this paper. However, Getzler did not provide a proof for his statement. In my thesis I used combinatoric reasoning and algebraic intersection theory to give proof for the formula provided in the afore mentioned paper.
