Gitta Kutyniok

Gitta Kutyniok, 2015

Gitta Kutyniok (born September 22, 1972 in Bielefeld ) is a German mathematician and has been an Einstein Professor of Mathematics at the Technical University of Berlin since 2011 .

Professional

Kutyniok studied mathematics and computer science at the University of Paderborn from 1991 to 1996 . She received her doctorate from the University of Paderborn in 2000 and her habilitation in 2006 from the Justus Liebig University in Giessen . From 2004 to 2005 she was a DFG scholarship holder at Washington University in St. Louis and at the Georgia Institute of Technology in Atlanta, USA. After her habilitation, she did research as a Heisenberg fellow from the DFG at Princeton University , Stanford University and Yale University . She then was Professor of Applied Analysis at the University of Osnabrück from 2008 to 2011 , before accepting a professorship at the Technical University of Berlin in 2011 , where she has been an Einstein Professor of Mathematics and the Chair of Applied Functional Analysis . In 2014 she also taught as a visiting professor at the ETH Zurich . Since 2018 she has also had a second membership in the Faculty of Computer Science and Electrical Engineering at the Technical University of Berlin.

Kutyniok has been the main coordinator of the DFG-SPP “Compressed Sensing in Information Processing” together with Rudolf Mathar ( RWTH Aachen ) since 2014 and has also been the Scientific and Executive Director of the “Berlin International Graduate School in Model and Simulation based Research (BIMoS) ) ". Since 2018 she has been the spokesperson for the DFG-GRK "Differential Equation- and Data-Driven Models in Life Sciences and Fluid Dynamics (DAEDALUS)".

She is editor of various scientific journals, in particular Acta Applicandae Mathematicae, Advances in Computational Mathematics, IEEE Signal Processing Letters, IEEE Transactions on Information Theory (Associate Editor for Signal Processing), Journal of Approximation Theory, Journal of Fourier Analysis and Applications, Journal of Mathematical Imaging and Vision, SIAM Journal on Imaging Sciences and SIAM Journal on Mathematics of Data Science, as well as member of the Advisory Board of the book series “Applied and Numerical Harmonic Analysis” by Birkhäuser-Springer.

research

Gitta Kutynioks work areas include the applied harmonic analysis , compressed sensing , frame theory , Imaging Science, inverse problems , machine learning , numerical analysis of partial differential equations , sparse - approximation theory and various applications in life sciences and telecommunications. In particular, she was significantly involved in the development of the Shearlets, an anisotropic multiscale display system, which demonstrably has optimal sparse approximation properties. It is used in particular in the sparse regularization of inverse problems. Other important research results include the development of Fusion Frames, a mathematical concept for modeling distributed systems, the analysis of the separation of data by means of convex optimization and the construction of demonstrably memory-optimal deep neural networks .

Memberships

Gitta Kutyniok is a member of numerous societies, committees and advisory boards. Since 2012 she has been a founding member and chairman of the GAMM technical committee “Mathematical Signal and Image Processing”, as well as a board member of the Berlin Mathematical School (BMS). She has also been a member of the SampTA Steering Committee and the SPARS Steering Committee since 2013 and was a member of the selection committee for the NaFöG Elsa Neumann scholarships of the State of Berlin and chair of the IPODI selection committee from 2013 to 2018. In 2014 she was elected to the board of the Society for Applied Mathematics and Mechanics (GAMM) and one year later to the board of the Einstein Center for Mathematics Berlin (ECMath). She has been working as a consultant for the Fraunhofer Heinrich Hertz Institute (HHI) since 2015 . In 2016 she was elected to the boards of the DFG-SFB / TR 109 “Discretization in Geometry and Dynamics” and the DFG-GRK “BIOphysical Quantitative Imaging Towards Clinical Diagnosis (BIOQIC)”. From the same year until 2018 she was Vice-Chair of the SIAM Activity Group on Imaging Sciences and a member of the GAMM-Juniors selection committee. Since 2018 she has also been a board member of the SFB 1114, a member of the international START / Wittgenstein jury and chair of the SIAM Activity Group on Imaging Sciences.

Awards

• Weierstraß Prize from the Department of Mathematics / Computer Science at the University of Paderborn for excellent teaching (1999)
• Research Award of the University of Paderborn (2003)
• Research grant from the DFG (2004)
• Price of the University of Giessen (2006)
• Heisenberg grant from the DFG (2006)
• von Kaven Prize of Honor from the DFG (2007)
• Einstein Chair at the Technical University of Berlin (2011)
• Miller's Scholar ( University of Missouri , Columbia) (2013)
• Noether Lecturer at the ÖMG-DMV Congress in Innsbruck (2013)
• Visiting professor (postgraduate lecturer, ETH Zurich) (2014)
• J. Tinsley Oden Faculty Fellow ( University of Texas at Austin ) (2015)
• Hans Schneider ILAS Lecturer at the IWOTA conference in St. Louis (2016)
• Full member of the Berlin-Brandenburg Academy of Sciences and Humanities (BBAW) (2016)
• Plenary speaker at the 8th European Congress of Mathematicians (2020/21)

Fonts (selection)

• H. Bölcskei, P. Grohs, G. Kutyniok, P. Petersen: Optimal Approximation with Sparsely Connected Deep Neural Networks , Preprint, arxiv : 1705.01714 .
• Peter G. Casazza, Gitta Kutyniok, Shidong Li: Fusion frames and distributed processing. In: Applied and Computational Harmonic Analysis . Volume 251, 2008, pp. 114-132, doi : 10.1016 / j.acha.2007.10.001 . ( free full text )
• W. Dahmen , Gitta Kutyniok, Wang-Q Lim, Christoph Schwab, Gerrit Welper: Adaptive anisotropic Petrov – Galerkin methods for first order transport equations. In: Journal of Computational and Applied Mathematics . Volume 340, 2018, pp. 191–220, doi : 10.1016 / j.cam.2018.02.023 .
• David L. Donoho , Gitta Kutyniok: Microlocal Analysis of the Geometric Separation Problem. In: Communications on Pure and Applied Mathematics. 66, 2013, p. 1, doi : 10.1002 / cpa.21418 .
• Y. Eldar, G. Kutyniok (Eds.): Compressed Sensing: Theory and Applications . Cambridge University Press, 2012. [1]
• Philipp Grohs, Gitta Kutyniok: Parabolic Molecules. In: Foundations of Computational Mathematics. 14, 2014, pp. 299-337, doi : 10.1007 / s10208-013-9170-z .
• Pisamai Kittipoom, Gitta Kutyniok, Wang-Q Lim: Construction of Compactly Supported Shearlet Frames. In: Constructive Approximation. 35, 2012, pp. 21-72, doi : 10.1007 / s00365-011-9142-y .
• G. Kutyniok, D. Labate: Resolution of the wavefront set using continuous shearlets . Trans. Am. Math. Soc. 361: 2719-2754 (2009). [2]
• Gitta Kutyniok, Wang-Q Lim: Optimal Compressive Imaging of Fourier Data. In: SIAM Journal on Imaging Sciences. 11, 2018, p. 507, doi : 10.1137 / 16M1098541 .
• G. Kutyniok, W.-Q. Lim, R. Reisenhofer: Shearlab 3D: Faithful digital shearlet transforms based on compactly supported shearlets . ACM Trans. Math. Softw. 42 (2016), 5: 1-5: 42. [3]

Web links

• Gitta Kutyniok's website at the Technical University of Berlin
• List of Gitta Kutyniok's publications on Google Scholar
• Press release from the Technical University of Berlin on the DAEDALUS graduate program

Individual evidence

1. ^ Faculty of Electrical Engineering, Computer Science and Mathematics - Weierstrass Prize 1999 (University of Paderborn). Retrieved July 25, 2020 . 
2. ↑ FK - Research Award Winner (University of Paderborn). Retrieved July 25, 2020 .