Dr. ILLIA KARABASH


Teaching

Winter Term 2018/2019

V5B2 Selected topics in Analysis and PDE - Geometric Optimal Control
Lecture notes

Research interests

Currently I am working on Optimization of Resonances by structural changes of the medium for various types of Wave Equations. Another topic of current research is the existence of internal asymptotic structures in the set of resonances and connections between these structures and the geometry of the resonator. My Fellowship for Experienced Researchers in Mathematical Institute was funded by the Alexander von Humboldt Foundation.

Other research interests:

  • Applied Analysis,
  • Optimal Control, Spectral Optimization,
  • Hamilton–Jacobi–Bellman equations,
  • Problem of Hidden Periodicities with Random Noice,
  • Nonselfadjoint/Nonlinear Spectral Problems,
  • Random Spectral Theory,
  • Degenerate Parabolic PDE, Linearization (stability analysis),
  • Photo-acoustic Tomography,
  • Stability for Delay Equations, Operator Theory

Publications

Most of my publications are available on the arXiv and via Mathematical Reviews .

The complete list of publications.

Short CV

  • 08/2018-05/2019: Visitor (Humboldt Experienced Researcher), Mathematical Institute, University of Bonn

  • 08/2017-12/2017: Visitor (Humboldt Experienced Researcher), Mathematical Institute, University of Bonn

  • 04/2006-present: Senior Research Fellow, Research Fellow, Junior Research Fellow, Institute of Applied Mathematics and Mechanics of NAS of Ukraine

  • 01-04/2017: Visiting Researcher, Hausdorff Research Institute for Mathematics, University of Bonn

  • 11/2016-01/2017: Visitor (Humboldt Experienced Researcher), Mathematical Institute, University of Bonn

  • 01-04/2016: Visiting Researcher, Hausdorff Research Institute for Mathematics, University of Bonn

  • 08-12/2015, 01-04/2015, 08-12/2014: Visiting Researcher, Institute of Mathematics, University of Lübeck

  • 11/2008-10/2010, 08/2007-07/2008: PIMS Post-doctoral Fellow, Post-Doctoral Fellow, University of Calgary

  • 11/2006-04/2007: Post-Doktorand, University of Zürich

  • 12/2002-08/2006: acting Docent, Senior Lecturer, Assistant, Donetsk National University

The detailed CV


Letzte Änderung: 30/09/2019 durch Illia Karabash/karabash(at)math.uni-bonn.de