Raquel Murat García
Mathematisches Institut
Universität Münster
Orléans-Ring 10
48149 Münster
Office: 110.021
Email: raquel.murat@uni-muenster.de
Pronouns: she/her
Name: I have two surnames: Murat is father's first surname and García is mother's first one. I do not want to let my mother's name disappear, so I will keep using both of them in my career.
Research interests:
Group theory, geometry, topology. I am mostly interested in the information that the interplay between topology and geometric group theory can yield about certain objects. More specifically, I want to use condensed mathematics in order to understand better group cohomology for locally compact groups.
Articles:
- Fibrations and coset spaces for locally compact groups, Linus Kramer, Raquel Murat García, arXiv:2408.03843
Talks:
- 27/08/2024, Cohomological goodness and Bianchi groups, Workshop on Profinite Rigidity, Universität Karlsruhe, Germany.
- 15/07/2024, Existence of fibrations over coset spaces, Bielefeld-Münster Seminar on Groups, Geometry and Topology, Universität Bielefeld, Germany.
Curriculum Vitae:
Theses:
- On the existence of fibrations over coset spaces .
Master's thesis (2024) - El lema de Wiener: inversión de operadores
de convolución .
Wiener's lemma: inversion of convolution operators.
Bachelor's thesis (2021)
Teaching:
- Tutor for Locally Compact Groups (WS24/25)
- Teaching assistant for Foundations of Analysis, Topology and Geometry (SS24)
- Tutor for Introduction to Number Theory (WS23/24)
- Tutor for Algorithmic Group Theory (SS23)
- Tutor for Geometric Group Theory I (WS22/23)
Miscellaneous:
- I am a PhD representative between October 2024 and October 2025, meaning that I am co-organing events for PhD students or faculty members in general like the PhD seminar or PhD retreat, among others.