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Prof. Dr. Gitta Kutyniok
- © Pablo Castagnola/Einstein Stiftung
Chair of Research Group at TU Berlin:
Applied Functional Analysis
Contact Information at TU Berlin:
Technische Universität Berlin
Department of Mathematics
Sekr. MA 5-4
Strasse des 17. Juni 136
10623 Berlin
Germany
Email: kutyniok@math.tu-berlin.de
Phone: +49 (030) 314 25758
Fax: +49 (030) 314 21604
Homepage:
Further Information can be found on www.math.tu-berlin.de/~kutyniok.
Research Focus:
I am particulary interested to develop mathematical approaches for solving problems from data science such as, for instance, inverse problems in imaging science (feature extraction, inpainting, etc.) or analysis and classification of high-dimensional data. For this, I mainly exploit methodologies from the areas of applied harmonic analysis, approximation theory, compressed sensing, frame theory, and functional analysis. Possible applications include medicine such as magnetic resonance imaging and analysis of proteomics data as well as telecommunication such as massive MIMO. A different recent research focus of mine is on novel discretization methods for partial differential equations via representation systems from applied harmonic analysis for developing fast solver.
Summarizing, my current research interests include:
- Applied Harmonic Analysis and Sparse Approximation
- Compressed Sensing
- Data Science
- Frame Theory
- High-Dimensional Data Analysis
- Imaging Science
- Inverse Probleme
- Numerical Analysis of Partial Differential Equations
- Real-World Applications
| Beginning | End | Activity |
|---|---|---|
| 09/2014 | 12/2014 | Visiting Professor (Nachdiplomlecturer), ETH Zürich |
| since 10/2011 | Einstein-Chair and Head of the Applied Functional Analysis Group, Department of Mathematics, TU Berlin | |
| 10/2008 | 09/2011 | Full Professor for Applied Analysis, Institute of Mathematics, Universität Osnabrück |
| 04/2008 | 09/2008 | Heisenberg-Fellow, Yale University, USA |
| 10/2007 | 03/2008 | Heisenberg-Fellow, Stanford University, USA |
| 04/2007 | 09/2007 | Heisenberg-Fellow, Princeton University, USA |
| 2006 | Habilitation in Mathematics, Justus-Liebig-Universität Gießen | |
| 03/2005 | 03/2007 | Research Assistant, Justus–Liebig–Universität Gießen |
| 04/2005 | 09/2005 | Visiting Scholar, Georgia Institute of Technology, USA |
| 10/2004 | 03/2005 | Visiting Scholar, Washington University in St. Louis, USA |
| 04/2004 | 09/2004 | Research Assistant, Justus–Liebig–Universität Gießen |
| 01/2002 | 03/2004 | Research Assistant, Universität Paderborn |
| 08/2001 | 12/2001 | Visiting Assistant Professor, Georgia Institute of Technology, USA |
| 2000 | Promotion in Mathematics, Universität Paderborn | |
| 04/1996 | 07/2001 | Research Assistant, Universität Paderborn |
| Year | Honors and Awards |
|---|---|
| 2016 | Hans Schneider ILAS Lecturer at IWOTA 2016 in St. Louis |
| 2014 | Visiting Professorship, ETH Zurich |
| 2013 | Noether-Lecturer at the ÖMG-DMV-Congress 2013 in Innsbruck |
| 2011 | Einstein Chair for Mathematics |
| 2007 | von Kaven-Ehrenpreis of the DFG |
| 2006 | Heisenberg–Fellowship of the DFG |
| 2006 | Research Award of the Justus-Liebig-Universität Gießen |
| 2003 | Research Award of the Universität Paderborn |
| 1998 | Weierstraß-Award for excellent teaching of the Department Mathematics/Computer Science of the Universität Paderborn |
| Consultant for the Fraunhofer Heinrich-Hertz-Institute |
| Coordinator of the DFG-Priority Programm "Compressed Sensing in Information Processing" |
| Scientific Director of the "Berlin International Graduate School in Model- and Simulation based Research (BIMoS)" |
| Vice Chair of the SIAM Activity Group on Imaging Science |
| Chair of the GAMM Activity Group on Mathematical Signal- and Image Processing |
| Chair of the Selection Comitee of the International Post-Doc Initiative – IPODI |
| Member of the Managing Board of the International Association of Applied Mathematics and Mechanics (GAMM) |
| Member of the Executive Board of the Einstein Center for Mathematics Berlin (ECMath) |
| Member of the Executive Board of the Berlin Mathematical School (BMS) |
| Member of the Council of the Matheon |
| P. Grohs and G. Kutyniok. Parabolic Molecules. Found. Comput. Math. 14 (2014), 299-337. |
| M. Genzel and G. Kutyniok. Asymptotic Analysis of Inpainting via Universal Shearlet Systems. SIAM J. Imaging Sci. 7 (2014), 2301-2339. |
| D. L. Donoho and G. Kutyniok. Microlocal Analysis of the Geometric Separation Problem. Comm. Pure Appl. Math. 66 (2013), 1–47. |
| P. Kittipoom, G. Kutyniok, and W.-Q Lim. Construction of Compactly Supported Shearlet Frames. Constr. Approx. 35 (2012), 21-72. |
| P. G. Casazza, G. Kutyniok, and S. Li. Fusion Frames and Distributed Processing. Appl. Comput. Harmon. Anal. 25 (2008), 114–132. |