René Hosfeld

René Hosfeld is a Research Associate in the Department of Numerical Mathematics at the Institute of Mathematics, Technical University of Berlin (since December 2023). His work focuses on infinite-dimensional systems and control theory within functional analysis and operator theory frameworks.

His educational background includes a Master of Science in Mathematics (2017-2019) and Bachelor of Science in Mathematics (2014-2017), both from the University of Wuppertal. He is currently completing his doctorate at the University of Wuppertal (scheduled February 2025), with prior research stays at the University of Bordeaux (2021-2022) and University of Hamburg (2020-2022).

Hosfeld's research centers on stability analysis of infinite-dimensional control systems, particularly examining input-to-state stability for bilinear systems with unbounded operators, Orlicz space admissibility characterizations, and funnel control methodologies. His recent publications demonstrate strong integration of functional analytic techniques with control-theoretic problems, often addressing challenges in semilinear dynamics and evolution equations.

His publication trends reveal consistent focus on stability theory for infinite-dimensional systems, with increasing sophistication in handling unbounded operators and nonlinear dynamics. Recent works bridge abstract operator theory with concrete applications in PDE control, particularly through bilinear system analysis and Orlicz space generalizations of classical Lp frameworks.

• SS25: Assistant for Linear Algebra I for Mathematicians (TU Berlin)
• WS 24/25: Assistant for Numerical Mathematics I (TU Berlin)
• SS24: Assistant for Functional Analysis I (TU Berlin)
• WS 22/23: Assistant for Analysis 1 and Linear Algebra for Engineers (TU Berlin)
• DFG Project JA735/18-1/SCHW 2022/2-1: "Evolution equations: input functions and stability" (2020-2023)

Hosfeld works within the Numerical Mathematics department's research ecosystem at TU Berlin, collaborating closely with Professor Birgit Jacob and Felix Schwenninger. His office (MA 470) is situated in the main mathematics building at Straße des 17. Juni 136, where he maintains regular office hours on Tuesdays from 12:00-13:00.