Tobias Hartnick

Prof. Tobias Hartnick is a Professor in the Department of Mathematics at Karlsruhe Institute of Technology (KIT), affiliated with the Institute of Algebra and Geometry and the Research Group "Groups, Geometry and Dynamics". Based in Kollegiengebäude Mathematik (20.30), room 1.026, he is available by appointment and teaches courses through Summer Semester 2025 including "Lie Algebren" and "AG Gruppen, Geometrie und Dynamik".

His research focuses on algebra, geometry, and group theory, with key interests including:

• Geometric Group Theory
• Representation Theory of Surface Groups
• Bounded Cohomology
• Biharmonic Functions on Groups
• Random Walks and Quasimorphisms
• Topological Dynamics

His work bridges differential geometry, topology, and probability theory to analyze algebraic structures through geometric phenomena.

Publication trends (2011-2017) show consistent cross-disciplinary integration: weakly maximal surface group representations connect hyperbolic geometry with Lie theory; PDE-based cohomology advances topological methods; and biharmonic function studies link harmonic analysis with probabilistic limit theorems in group dynamics.

Scientific Awards:

• No awards mentioned in available sources

Student advising and grant details are not documented in the provided materials.

He actively participates in KIT's "Groups, Geometry and Dynamics" research group, which investigates geometric group theory, dynamical systems, and algebraic structures through collaborative seminars and research projects.