Functional Analysis and Stochastic Analysis Group

Jun.-Prof. Dr. Amru Hussein


Gebäude 31 , Raum 252
67663 Kaiserslautern


Tel.: +49 631 205 5302


Registration for oral examinations

Dear students,

this is the day for the oral examination offered by Mr. Hussein:

  • 20. March 2023

Please see Mrs. Höffler at building 31, room 451.


Winter term 2022/23

Internet Seminar: Graphs and Discrete Dirichlet Spaces

Summer term 2022Higher Mathematics I/II

Seminar: Analysis and Partial Differential Equations


Winter term2021/22Sobolev Spaces
 Internetseminar: Spectral Theory for Operators in Banach Spaces and Applications to One-Parameter Semigroups of Bounded Operators
Summer term 2021Operator Semigroups and Applications to PDE
 Seminar Analysis and Partial Differential Equations
 Reading Course Analysis and Partial Differential Equations
Winter term2020/21Probability Theory
 Internetseminar C*-algebras and dynamics ISEM24
Summer term 2020Functional Analysis
 Seminar Analysis and Partial Differential Equations
Winter term 2019/20Introduction to Functional Analysis



Summer term 2018

Internetseminar Evolutionary Equations ISEM23
Geophysical Flows (TU Darmstadt) 

Curriculum Vitae

2019 - dato Assistant professor for analysis and stochastics at Technische Universität Kaiserslautern
2015 - 2019Research and teaching associate in the applied analysis group of the department of mathematics at Technische Universität Darmstadt
2013 - 2015Consultant at the d-fi ne GmbH in Frankfurt am Main
2013Guest researcher at the Institut of Physics of the Czech Academy of Sciences in Rez, Czech Republic
2009 - 2013

Research and teaching associate and doctorate (Dr. rer. nat) in the functional analysis group at the department of mathematics at Johannes Gutenberg-Universität Mainz

Dissertation: Spectral theory for differential operators on metric graphs and bounded domains

2003 - 2008

Studies of mathematics at Universität Duisburg-Essen and Rheinischen Friedrich-Wilhelms-Universität Bonn

Diploma thesis : On the scattering theory of Dirac operators

Research Interests

  • Mathematical fluid mechanics: geophysical flows, liquid crystals, complex fluids
  • Semi- and quasi-linear evolution equations, semigroup and form methods, maximal Lp-regularity
  • Operator and spectral theory, non-self-adjoint operators, differential operators on graphs and manifolds, perturbation and scattering theory
  • block operator matrices and parabolic systems

If you are interested in writing an advanced internship, a bachelor or master thesis, you are very welcome to contact me!

If you enjoy the scientific life and work and are interested in doing a PhD in one of the subjects listed above, then I would like to encourage you to contact me for further discussions.


Hind Al-BabaSeptember - Oktober 2022
Bilal Al TakiSeptember - Oktober 2022



Three representative publications

  • Gries, M., Giga, Y., Hieber, M., Hussein, A., & Kashiwabara, T. (2020): The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive Equations on Spaces of Bounded Functions. Journal of Functional Analysis, 279(3): 108561. doi:10.1016/j.jfa.2020.108561
  • Choudhury, A. P., Hussein, A., & Tolksdorf, P. (2018): Nematic Liquid Crystals in Lipschitz domains. SIAM Journal on Mathematical Analysis, 50(4):4282-4310. doi:10.1137/17M1160975
  • Hussein, A., Krejcirk, D., & Siegl, P. (2015): Non-self-adjoint graphs. Transactions of the American Mathematical Society, 367(4): 2921-2957. doi:10.1090/S0002-9947-2014-06432-5

A complete list of publications can be found here

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