I am affiliated with the Department of Applied Mathematics since October 2023 as a Post-doc researcher. My research is funded by Walter-Benjamin Grant of DFG (Deutsche Forschungsgemeinschaft).

Expertise

  • Mathematics

    • Von Neumann Algebra
    • Sesquilinear

Organisations

I'm currently working on a project entitled "Positivity and monotonicity methods in infinite-dimensional systems theory". This is funded by the DFG and is a joint project with Felix Schwenninger (Twente) and Jochen Glück (Wuppertal). The first year of the project (2023-2024) will be spent at Twente and in the second year (2024-2025), it will continue in Wuppertal.

 

Project summary. Positive systems arise naturally in many applications such as population, diffusion, and transport models. Positivity constraints impose limitations on the system which simplifies the analysis of the qualitative behaviour of the system. Whereas the positivity of finite-dimensional systems has been relatively well studied, there is a lack of a general theoretical framework for the study of positive systems in infinite dimensions. This project aims to bridge this gap via three different yet interlinked objectives.

Publications

2023
Domination of semigroups on standard forms of von Neumann algebrasArchiv der Mathematik, 121, 715-729. Arora, S., Chill, R. & Srivastava, S.https://doi.org/10.1007/s00013-023-01946-yDomination of semigroups generated by regular formsProceedings of the American Mathematical Society, 152(2) (E-pub ahead of print/First online). Arora, S., Chill, R. & Djida, J.-D.https://doi.org/10.1090/proc/16702

Research profiles

Courses academic year 2023/2024

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.

Organisations

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