Zilverling

Dr. habil. K. Kruse (Karsten)

Lecturer
EEMCS-AM-MAST
Zilverling 3009
k.kruse@utwente.nl
Business card

I joined the Department of Applied Mathematics 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

    • Continuous Semigroup
    • Locally Convex
    • Abstract Cauchy Problem
    • Cauchy-Riemann Equation
    • Hyperfunction
    • Operators

  • Computer Science

    • Mobile Robotics
    • Queueing Network

Organisations

Publications

2025

On linearization and uniqueness of preduals (2025)Mathematische Nachrichten (E-pub ahead of print/First online). Kruse, K.https://doi.org/10.1002/mana.202400355

2024

C-maximal regularity for operator semigroups on locally convex spaces (2024)[Working paper › Preprint]. ArXiv.org. Kruse, K. & Schwenninger, F. L.https://doi.org/10.48550/arXiv.2408.11437On 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-zWeighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces (2024)Complex analysis and operator theory, 18(5). Article 115. Kruse, K.https://doi.org/10.1007/s11785-024-01559-5

2023

Surviving Math – Mathematik im Orientierungsstudium (2023)[Contribution to conference › Poster] 6. I³ProTeachING Abschlussveranstaltung 2023. Derboven, W., Kruse, K. & Otten, S.https://doi.org/10.15480/882.8186Exponential Single Server Queues in an Interactive Random Environment (2023)Stochastic systems, 13(2), 271-319. Otten, S., Krenzler, R., Daduna, H. & Kruse, K.https://doi.org/10.1287/stsy.2023.0106Final state observability estimates and cost-uniform approximate null-controllability for bi-continuous semigroups (2023)Semigroup forum, 106(2), 421-443. Kruse, K. & Seifert, C.https://doi.org/10.1007/s00233-023-10346-1Elektronische Prüfungen in Mathematik — Ein Beispiel (2023)In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021 (pp. 31-42) (Schriften zur Hochschuldidaktik Mathematik; Vol. 9). wtm-Verlag. Gallaun, D., Kruse, K. & Seifert, C.

Research profiles

Address

University of Twente

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

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