Discrete Geometry and Algebraic Combinatorics Group

Our group investigates algebraic, combinatorial and geometric problems arising at the interaction between several fields.
We are interested on topics related to polytope theory, simplicial complexes, tropical geometry, Coxeter groups, subword complexes, diagonal harmonics, representation theory, Hopf algebras, and cluster algebras among others.

Group Leader

• Cesar Ceballos

Postdocs and Students

• Joseph Dorfer. PhD student, TU Graz, since 01.10.2024. (co-supervised with Oswin Aichholzer)
• Matthias Müller. PhD student, TU Graz, since 01.10.2024.
• Sergio Fernandez de soto. PhD student, TU Graz, since 01.10.2022.

Past Postdocs and Students

• Joseph Dorfer. Master student, TU Graz, 2023-2024. (co-supervised with Oswin Aichholzer)
  Master thesis: Complexity of reconfiguration problems in plane spanning graphs.
• Matthias Müller. Master student, University of Graz, 2023-2024.
  Master thesis: Geometric realizations of v-associahedra via brick polyhedra.
• Yannic Vargas. Postdoc , TU Graz, 01.09.2022-31.08.2024.
• Matias von Bell. Postdoc, TU Graz, 01.11.2022-31.10.2023.
• Joseph Doolittle. Postdoc, TU Graz. 01.02.2021-31.05.2023.
• Andres Saldaña. Bachelor student, Universidad del Valle, co-supervised with Federico Ardila. 2014-2016.
  Bachelor thesis: Tutte polynomials, knots, and medial graphs.
• Hanner Bastidas. Bachelor student, Universidad del Valle, co-supervised with Federico Ardila. 2014-2015.
  Bachelor thesis: Combinatorial properties of a robot moving in a rectangular grid.

Visitors

The following researchers have visited our group at TU Graz.

2024:

• Nantel Bergeron. York University. February 2024.
• Viviane Pons. Université Paris-Saclay. January 2024.

2023:

• Iván Rasskin. Aix-Marseille University. November 2023.
• Martha Yip. University of Kentucky. September 2023.
• Rafael S. González D'León. Loyola University Chicago. June 2023.
• Francois Bergeron. Université du Québec à Montréal. June 2023.
• Nantel Bergeron. York University. June 2023.
• Vincent Pilaud. l'École Polytechnique. June 2023.

2022:

• Viviane Pons. Université Paris-Saclay. December 2022.
• Clément Chenevière. Université de Strasbourg. October 2022.
• Yannic Vargas. University of Potsdam. June 2022.
• Noémie Cartier. Université Paris-Saclay. May 2022.
• Arturo Merino. Technische Universität Berlin. May 2022.