Junior Professor Dr. Amru Hussein


Building: 31
Room: 252
Floor: 2
67663 Kaiserslautern

P.O. Box: 3049
67653 Kaiserslautern


Summer term 2024

Functional Analysis

Seminar: Analysis and Partial Differential Equations

Winter term 2023/24

Introduction to the Theory of Sobolev Spaces

Anmeldung im OLAT:


Winter term 2023/24

Internet Seminar: Harmonic Analysis for Elliptic Operators

Anmeldung im OLAT:


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  a bachelor or master thesis, you are very welcome to contact me!



Paul BeckermannGeb. 31, Raum 253, Tel. +49 631 205 5305,
 E-Mail: beckermp@mathematik.uni-kl.de
Erik HeidrichGeb. 31, Raum 253, Tel. +49 631 205 5305,
 E-Mail: eheidric@mathematik.uni-kl.de
Dominik SpyrkaGeb. 31, Raum 255, Tel. +49 631 205 5307
 E-Mail: spyrka@rptu.de



Mohammed AhramiSeptember - Dezember 2023
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