Upcoming conferences:

  • IWOTA 2026 at Laval University (Quebec, Canada), plenary speaker
  • Complex nalysis and spaces of analytic functions at University of Wurerzburg (Germany), invited speaker.

Research: Operator Theory & complex analysis (functional calculus, spectral sets) evolution equations (operator semigroups) and applications to systems and control theory.

Since May 2019 I amĀ affiliated with the Department of Applied Mathematics and chair the Mathematics of Systems Theory group (MAST) since October 2025.

Before I was a post-doc at the University of Hamburg and the University of Wuppertal, where I also held a temporary professor position (`Vertretungsprofessor') in Fall 2018/19. My mathematical origins (undergraduate studies) are at the TU Wien.

My researchĀ interests broadly center around (functional) analysis and particularly operator theory with applications in the analysis and control of pde's.

In more detail, some research foci have been semigroup theory, functional calculus, input-to-state stability of infinite-dimensional systems and funnel control.

Besides, I likeĀ optimising constants and Crouzeix's conjecture.

Expertise

  • Mathematics

    • Admissibility
    • Semigroup
    • Strongly Continuous Semigroup
    • Operators
    • Dimensional System
    • Control System
    • Parabolic
  • Computer Science

    • Control

Organisations

See here:Ā  here

Publications

2026

A universal example for quantitative semi‐uniform stability (2026)Journal of the London Mathematical Society, 113(2). Article e70472. Arora, S., Schwenninger, F. L., Vukusic, I. & Waurick, M.https://doi.org/10.1112/jlms.70472

2025

C-spectral sets and related estimates (2025)[Thesis › PhD Thesis - Research UT, graduation UT]. University of Twente. de Vries, J.https://doi.org/10.3990/1.9789036569620Admissible operators for sun-dual semigroups (2025)Mathematics of control, signals and systems (E-pub ahead of print/First online). Arora, S. & Schwenninger, F. L.https://doi.org/10.1007/s00498-025-00430-yA sharp bound for the functional calculus of ρ-contractions (2025)Proceedings of the American Mathematical Society, 153(11), 4759-4768. Schwenninger, F. L. & De Vries, J.https://doi.org/10.1090/proc/17346Continuous maximal regularity in locally convex spaces (2025)[Working paper › Preprint]. ArXiv.org. Kruse, K. & Schwenninger, F. L.https://doi.org/10.48550/arXiv.2408.11437

Research profiles

I'm teaching several Bachelor and Master courses within the Applied Mathematics programme -- typically in the areas of analysis and control as well some service teaching. This includes courses within the Dutch-wide MasterMath programme. Furthermore, I coordinate the Math Track of the University's Honours Bachelor programme. Currently, I'm also involved in teaching within the Dutch Institute for Systems and Control.

Courses academic year 2025/2026

Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.

Courses academic year 2024/2025

Currently running projects:

  • Predictive Avator Control and Feedback (together with Robotics and Computer Science): PhD student: Alexander Wierzba
  • Optimal Constant as Analytic Benchmarks (OCAB), NWO-funded (Open Competite), PhD student: Jens de Vries
Scan the QR code or
Download vCard