About Me
I'm a PhD Student in the Discrete Geometry and Topological Combinatorics Group at Freie Universität Berlin. My advisor is Matthias Beck and I'm also a student in the Berlin Mathematical School.
Before that I did my masters in mathematics at the Technische Universität Berlin and spent two semesters at the Charles University in Prague, Czech Republic. My master thesis advisor was Stefan Felsner. I did a Bachelor of Science in Natural Science in the Society of Information (original in German: "Naturwissenschaften in der Informationsgesellschaft") also at TU Berlin and spend a year at Universidad Catolica de Temuco, Chile. I also completed a study program about gender and diversity aspects in STEM (Zertifikat I, information in German here). During high school, I spend one year in Cuenca, Ecuador.
Papers
Preprints:
- Acyclotopes and Tocyclotopes, with Eleonore Bach and Matthias Beck,
- see arXiv:2409.15227
Published:
- Rational Ehrhart Theory, with Matthias Beck and Sophia Elia,
- in Integers: the Electronic Journal of Combinatorial Number Theory 23 (2023), A 60,
- extended abstract in Séminaire Lotharingien de Combinatoire, 86B (2022), Article 44 (Proceedings of FPSAC'22).
- Pruned inside-out polytopes, combinatorial reciprocity theorems and generalized permutahedra,
- in The Electronic Journal of Combinatorics 29 (2022) P4.36.
Research Interests
So far my research has been centered around Ehrhart Theory, i.e., counting lattice points in polytopes and their (positive integral) dilates.
My favorite polytopes are those, that come from combinatorial objects, like graphs, signed graphs, hypergraphs or matroids, that is, generalized or deformed permutahedra and their subclasses. I'm interested in understanding structures and coefficients of the Ehrhart polynomial or h*-polynomial, e.g., by generalizing the classical setting to rational dilations of polytopes. Lately, I'm also thinking about Gale duality, Schubert matroids, nested matroids, (word)quasisymmteric functions, valuative functions, monotone path polytopes of order polytopes, submodular functions, score sequences, deformations of polytopes, ...
Activities
Last updated: Sep 26, 2024
Planned
- Symposium Discrete Mathematics, October 11 - 12, 2024, Technische Universität Berlin, Germany.
Past
Conferences and Workshops (selection)
- Priority Program Kick-Off Meeting , September 11-13, 2024, Osnabrück, Germany.
- FPSAC 2024 , July 2024, Bochum, Germany.
- Summer School in Algebraic Combinatorics , July 15-19, 2024, MPI Leipzig, Germany.
- ECCO 2024 , June 17-28, 2024, Popayán, Colombia.
- Queer in Math Day , June 06, 2024, MPI Leipzig, Germany.
- 5th Graduate Student Meeting in Applied Algebra and Combinatorics, April 10-12, 2024, FU Berlin.
- Combinatorial Coworkspace 2024 , March 18-23, 2024, Kleinwalsertal, Austria.
- BMS Student Conference, February 21st – 23rd, 2024 , TU Berlin, Germany.
- Chow Lectures, October 16-18, 2023, MPI Leipzig, Germany.
- Jahrestagung der Deutschen Mathematiker[sic!] Vereinigung, September 25-28, 2023, Ilmenau, Germany.
- 24 Hours of Combinatorial Synergies, June 28/29, 2023, Magdeburg, Germany.
- AMS Special Session on Recent Progress in Chromatic Graph Theory, April 1st-2nd, 2023, AMS Spring 2023 Eastern Sectional Meeting (online)
- Gems of combinatorics, March 27-31, 2023, American Institute of Mathematics, San Jose, California
- Critical Issues in Mathematics Education 2023: Mentoring for Equity, March 22-24, 2023, MSRI / SLMath, Berkeley, California
- Workshop on Matroids and Tropical Combinatorics, January 9th - 13th 2023, Queen Mary University of London
- Deutsche Mathematiker[sic!] Vereinigung, Annual Meeting 2022, September 12-16, 2022, Freie Universität Berlin, Germany.
- Geometry meets Combinatorics in Bielefeld, September 05-09, 2022, Bielefeld, Germany.
- 34th International Conference on Formal Power Series & Algebraic Combinatorics (FPSAC 2022), July 18-22, 2022, Bangalore, India.
- BMS Summer School 2022: Geometry and Topology in a Discrete Setting 23 May - 3 June 2022, at Zuse Institute Berlin, Germany.
- Combinatorial Coworkspace 2022, March 19-27, 2022, Haus Bergkranz, Kleinwalsertal, Austria.
- Mini-Symposium on Lattice Polytopes, March 03-04, 2022, virtual.
- (Polytop)ics: Recent advances on polytopes, April 06 - 09, 2021, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, virtual.
Seminar talks (selection)
- June 20, 2023: Oberseminar Algebra/diskr. Mathematik und angew. Algebra/Datenanalyse, Universität Osnabrück
- Mai 31, 2023: KTH Combinatorics Seminar, KTH Stockholm
- April 26, 2023: Graduate Online Combinatorics Colloquium (GOCC)
- February 22, 2023: Seminar on Nonlinear Algebra, MPI Leipzig
Teaching
Teaching experience
Winter Semester 2024/25
- Discrete Geometry I
- exercise session, lecturer: Georg Loho.
Summer Semester 2024
- Geometrie
- exercise sessions, lecturer: Georg Loho.
Winter Semester 2023/24
- Discrete Geometry I
- exercise session, lecturer: Giulia Codenotti.
- Mathematisches Professionswissen für das Lehramt an Grundschulen I.2
- Q&A office hours (4h/week), lecturers: Ulrike Bücking, Jan-Hendrik de Wiljes.
Summer Semester 2023
- Discrete Geometry II
- exercise session, lecturer: Raman Sanyal.
- Forschungsmodul: Diskrete Geometrie
- seminar together with Raman Sanyal.
Winter Semester 2022/23
- Discrete Geometry I
- exercise session, lecturers: Christian Haase, and Eran Nevo, joint course with Hebrew University in Jerusalem.
- Discrete Geometry II
- exercise session, lecturer: Florian Frick.
- Forschungsmodul Diskrete Geometrie: Special Polytopes
- seminar together with Florian Frick.
- Discrete Geometry I
- exercise session, lecturers: Florian Frick, Christian Haase, and Eran Nevo, joint course with Hebrew University in Jerusalem.
- Mathematisches Professionswissen für das Lehramt an Grundschulen I.2
- tutorial, lecturers: Ulrike Bücking, Christine Scharlach.
- Discrete Geometry II
- exercise session, lecturer: Matthias Beck .
- (Pro-)Seminar zur Diskreten Mathematik: Alternating Sign Matrices
- seminar together with Matthias Beck .
- Discrete Geometry III
- exercise session, lecturer: Matthias Beck .
- (Pro-)Seminar Diskrete Geometrie: Shard Polytopes
- seminar together with Matthias Beck .
- Discrete Geometry II
- exercise session, lecturer: Matthias Beck .