Zilverling

Dr. habil. K. Kruse (Karsten)

Assistant Professor
EEMCS-AM-MAST
Zilverling 3009
k.kruse@utwente.nl
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Since April 2026 I am an assistant professor in the Department of Applied Mathematics which I joined as a lecturer in September 2023. After studying mathematics (2004-2010) and obtaining my PhD at the University of Oldenburg (2010-2014), I was a postdoc at the Hamburg University of Technology (2014-2023) where I completed my Habilitation in mathematics in 2022. During my time as a postdoc, I also worked as an adjunct lecturer at the Hamburg University of Applied Sciences. 

My research interests lie in the realm of Functional Analysis and its applications, among others partial differential equations, abstract Cauchy problems, semigroup theory and the theory of locally convex spaces. Besides, I am also interested in e-learning and e-assessment in mathematics.

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Expertise

  • Mathematics

    • Locally Convex Space
    • Strongly Continuous Semigroup
    • Locally Convex
    • Continuous Semigroup
    • Hyperfunction
    • Boundary Value
    • Hausdorff

  • Computer Science

    • Mobile Robotics

Organisations

Publications

2026

Strongly continuous and locally equicontinuous families of operators and their relation to bi-continuity (2026)[Working paper › Preprint]. Kruse, K. & Seifert, C.https://doi.org/10.48550/arXiv.2604.13607

2025

Vector-valued Fourier hyperfunctions and boundary values (2025)[Working paper › Preprint]. ArXiv.org. Kruse, K.https://doi.org/10.48550/arXiv.1912.03659Vector-valued Fourier hyperfunctions and boundary values (2025)Kyoto Journal of Mathematics (E-pub ahead of print/First online). Kruse, K.https://doi.org/10.1215/21562261-2024-0030Continuous maximal regularity in locally convex spaces (2025)[Working paper › Preprint]. ArXiv.org. Kruse, K. & Schwenninger, F. L.https://doi.org/10.48550/arXiv.2408.11437Continuous maximal regularity in locally convex spaces (2025)Studia mathematica, 285(1), 41-89. Kruse, K. & Schwenninger, F. L.https://doi.org/10.4064/sm240822-31-7Spectral theory for semigroups on locally convex spaces (2025)[Working paper › Preprint]. ArXiv.org. Kruse, K.https://doi.org/10.48550/arXiv.2509.11931On linearization and uniqueness of preduals (2025)Mathematische Nachrichten, 298(3). Kruse, K.https://doi.org/10.1002/mana.202400355

2024

On linearisation and existence of preduals (2024)Rendiconti del Circolo Matematico di Palermo, 73, 1591-1615. Kruse, K.https://doi.org/10.1007/s12215-024-01004-8Mixed topologies on Saks spaces of vector-valued functions (2024)Topology and its Applications, 345. Article 108843. Kruse, K.https://doi.org/10.1016/j.topol.2024.108843Sun Dual Theory For Bi-Continuous Semigroups (2024)Analysis Mathematica, 50, 235-280. Kruse, K. & Schwenninger, F. L.https://doi.org/10.1007/s10476-024-00014-z

Research profiles

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

Address

University of Twente

Zilverling (building no. 11), room 3009
Hallenweg 19
7522 NH Enschede
Netherlands

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