Prof. Dr. Thorsten Hohage
Professor, Institute for Numerical and Applied Mathematics
- 1996 - 1998 Research assistant at Institute of Industrial Mathematics, Johannes-Kepler University Linz, Austria
- 1998 - 2000 Research assistant at CRC F013 Numerical and Symbolic Scientific Computing, Linz, Austria
- 2000 - 2002 Postdoc at Zuse Institute Berlin with Peter Deuflhard
- 2002 - 2007 Junior professor at Institute of Numerical and Applied Mathematics, Georg-August Universität Göttingen
- 2007 - 2009 Associate (W2) professor at Georg-August Universität Göttingen
- Since 2009 Full(W3) professor at Georg-August Universität Göttingen
- Since 2017 Fellow at MPI Solar Systems Research
Major Research Interests
- inverse problems
- inverse problems in partial differential equations, in particular inverse scattering problems
- regularization theory for statistical inverse problems
- variational regularization
- efficient algorithms
- application areas: phase retrieval problems in optics, Magnetic Resonance Imaging (MRI), helioseismology
- transparent boundary condition, resonances
- spectrally convergent methods, in particular Hardy space infinite elements
- numerical computation of resonances
- Helmholtz, Maxwell, and elasticity equations
- back-propagating modes
Homepage Department/Research Group
https://ip.math.uni-goettingen.de/index.php?lang=en
Selected Recent Publications
- Hohage T, Weidling F (2017) Characterizations of variational source conditions, converse results, and maxisets of spectral regularization methods. SIAM J. Numer. Anal. 55(2): 598-620
- Maretzke S, Hohage T (2017) Stability estimates for linearized near-field phase retrieval in X-ray phase contrast imaging. SIAM J. Appl. Math. 77(2): 384-408
- Schomburg H, Hohage T (2017) Semi-Local Tractography Strategies Using Neighborhood Information. Medical Image Analysis 38: 165-183
- Hohage T, Werner F (2016) Inverse Problems with Poisson Data: statistical regularization theory, applications and algorithms. Inverse Problems 32: 093001:56pp
- Maretzke S, Bartels M, Krenkel M, Salditt T, Hohage T (2016) Regularized Newton methods for X-ray phase contrast and general imaging problems. Optics Express 24(6): 6490-6506
- Uecker M, Hohage T, Block KT, Frahm J (2008) Image Reconstruction by Regularized Nonlinear Inversion - Joint Estimation of Coil Sensitivities and Image Content. Magnetic Resonance in Medicine 60: 674-682