Continuous Optimization, Variational Analysis,
and Inverse Problems
Job Openings:
Software Laboratory
Publications
Active Research Projects:
My work has been supported in part by grants from the
National Science Foundation (grant Numbers 0712796 and 0852454) and more recently from the
German Research Foundation (Nahost Kooperation, Graduiertenkolleg 2088, Collaborative Research Center 755 and Graduiertenkolleg 1023), the
Bundesministerium fuer Bildung und Forschung, the German Israeli Foundation and the Australian Research Council.
-
Mathematics of atomic orbital tomography
with Stefan Mathias (CRC1456 TPB01)
-
Stochastic computed tomography:
theory and algorithms for single-shot X-FEL imaging
with
Helmut Grubmueller (CRC1456 TPC02)
- Probabilistic Analysis and Stochastic Algorithms in Fixed Point Theory with Anja Sturm (GRK2088 TPB5)
- Discrete Topological Optimization Techniques for the Statistical Analysis of Tree Structures with Stephan Huckemann (GRK2088 TPA4)
A selection of expired research projects:
- Nonconvex Quadratic Composite Minimization: Theory and Algorithms,
with Marc Teboulle and
Shoham Sabach. (DFG, 2020-2022)
- Statistical Multi-scale Analysis for Photonic Imaging with Axel Munk.
(DFG SFB755-A4, 2011-2019)
- Inverse scattering problems without phase, with Thorsten Hohage. (DFG SFB755-C2, 2011-2019)
- Optimization for Nonsmooth, Nonconvex Problems:
from Theory to Algorithms, with Marc Teboulle and
Shoham Sabach. (German-Israeli Foundation, 2015-2018)
- Relaxed reflection methods for feasibility and matrix completion problems, with Jonathan Borwein and Jeffrey Hogan, University of Newcastle. (ARC DP160101537)
Conferences: I have been involved in the organization of the following events:
- Modern Maximal Monotone Operator Theory: From Nonsmooth Optimization to Differential Inclusions, Erwin Schroedinger International Institute for Mathematics and Physics, Vienna, January-March, 2019
- Splitting Algorithms, Modern Operator Theory and Applications, Oaxaca, September 2017.
- Central European Set-Valued and Variational Analysis Meeting, Göttingen, Oct. 24, 2015
Research Collaborators
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