Felix Schröder

Doktorand für Mathematik an der Technischen Universität Berlin bei Prof. Stefan Felsner in der Arbeitsgruppe Diskrete Mathematik

Büro: MA 509

Telefon: 030 / 314 78795

Email: fschroed [at] math...

Lehre

(vor) WS22/23: Early Bird I - Analysis I und Lineare Algebra für Ingenieurwissenschaften

(vor) SS22: Early Bird II - Analysis II für Ingenieurwissenschaften

WS21/22: Diskrete Strukturen II - Graphentheorie

SS21: Diskrete Strukturen I - Combinatorics

WS20/21: Mathematik für Physiker*Innen I

SS20: Functional Analysis I

WS19/20: Diskrete Strukturen II - Graphentheorie

SS19: Diskrete Strukturen I - Combinatorics

WS18/19: Computerorientierte Mathematik I (Webseite offline)

SS18: Diskrete Geometrie 2

Research interests

Graph Theory and algorithms, especially the interplay of Topological and Structural Graph Theory

Combinatorial, Computational and Discrete Geometry

Abstract Combinatorics related to Geometry, Graphs or partial orders (Posets)

Finite Geometry, for example finite projective geometry

Scientific work

Publications

On the edge-vertex ratio of maximal thrackles (joint work with Aichholzer, Kleist, Klemz, Vogtenhuber, International Symposium on Graph Drawing and Network Visualization, 2019)

Improved bounds on centered colorings (joint work with Dębski, Felsner, Micek, Symposium on Discrete Algorithms, 2020 and Advances in Combinatorics, 2021)

On the Complexity of Digraph Colourings and Vertex Arboricity (joint work with Hochstättler, Steiner, Discrete Mathematics and Theoretical Computer Science Vol. 22 No. 1, 2020)

Topological Drawings meet Classical Theorems from Convex Geometry (joint work with Bergold, Felsner, Scheucher, Steiner, International Symposium on Graph Drawing and Network Visualization, 2020 and Discrete & Computational Geometry, 2022)

Coloring Circle Arrangements: New 4-Chromatic Planar Graphs (joint work with Chiu, Felsner, Scheucher, Steiner, Vogtenhuber, European Conference on Combinatorics, 2021 - EuroCG-version)

Simplifying Non-Simple Fan-Planar Drawings (joint work with Klemz, Knorr, M. Reddy, International Symposium on Graph Drawing and Network Visualization, 2021)

Coloring Drawings of Graphs (joint work with Hertrich, Steiner, Electronic Journal of Combinatorics, 2022)

Characterization of matrices with bounded Graver bases and depth parameters and applications to integer programming (joint work with Brianski, Koutecky, Kral, Pekarkova, International Colloquium on Automata, Languages and Programming, 2022)

Theses

Security of Cache Replacement Policies under Side-Channel Attacks (Master Thesis)

Decomposability and the Dehn Invariant (Bachelor Thesis)