Matt Dupraz
PhD candidate at FU Berlin
Resources
Music
I enjoy making music in my free time, check out some of my songs!
About me
Hi! I am a PhD student at Freie Universität Berlin broadly interested in
interactions between algebraic geometry and combinatorics.
I started my PhD in
September 2024 under the supervision of
Christian Haase (FU Berlin) and
Leonid Monin (EPFL),
in the project
"K-Theory and Normal Complexes",
which is part of the
SPP Combinatorial Synergies.
The goal of this project is to study Chow rings and K-rings of certain toric
varieties, with the aim of finding interesting combinatorial interpretations of
some computations in these rings.
More generally, I am interested in tropical geometry and algebraic combinatorics -
I enjoy studying interactions between objects such as matroids, hyperplane arrangements,
polytopes and objects from algebraic geometry.
Research
Preprints
- Tropical linear series and matroids, with C.-W. Chang, H. Iriarte, D. Jensen, D. Karp, S. Payne, J. Wang
Master's thesis
- Tropical linear systems and the realizability problem, Master’s thesis, Ecole Polytechnique Federale de Lausanne, 2024
Activities
Villa Student Seminar
This is the weekly student seminar of the Discrete Geometry and Topological Combinatorics group of Freie Universität Berlin, organized by and for PhD and Masters students. We provide a supportive, friendly place for students to give talks on their current research or topics they are interested in. The environment also facilitates opportunities for students to practice speaking.Topics of the talks vary depending on the interests of the speaker, mostly in the fields of discrete geometry, topology, and combinatorics. Participants are expected to actively participate by asking questions and providing feedback, as well as give a talk or chair at least once per semester. The seminar happens in person in the seminar room of the Villa (Arnimallee 2). If you are interested in joining, feel free to subscribe to our mailing list.
Organization
| Aug 11-15 2025 |
Positivity
in K-Theory and Lattice Points,
EPFL, Lausanne |
Invited talks
| Apr 29 2025 |
GSM Applied Algebra and Combinatorics,
University of Bologna Title: Tropical Linear Systems |
| Apr 1 2025 |
Combinatorial
Algebraic Geometry: Highlighting Underrepresented
Genders,
Goethe Universität Frankfurt am Main Title: Lattice counts and K-theory (short talk) |
| Feb 12 2025 |
Algebra,
Geometry, and Combinatorics Seminar,
San Francisco State University Title: Tropical Linear Systems |
Attended conferences
| 2025 | |
| 2024 |
|