Göttinger Graduiertenzentrum für Neurowissenschaften, Biophysik und Molekulare Biowissenschaften

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


  • Gaida J, Lourenco-Martins H, Yalunin S, Feist A, Sivis M, Hohage T, Garcia de Abajo J, Ropers C. 2023. Lorentz microscopy of optical fields. Nature Comm. 14: 5863. doi:10.1038/s41467-023-42054-3

  • Hohage T, Lehrenfeld C, Preuß J. 2021. Learned Infinite Elements. SIAM J. Scientific Computing 43(5): A3552-A3579.
    doi:10.1137/20M1381757

  • Miller P, Hohage T. 2021. Maximal Spaces for Approximation Rates in 1-regularization. Numerische Mathematik 149(2): 341-374.
    doi:10.1007/s00211-021-01225-4

  • Halla M, Hohage T 2021. On the well-posedness of the damped time-harmonic Galbrun equation and the equations of stellar oscillations. SIAM J. Math. Anal. 53(4): 4068-4095. doi:10.1137/20M1348558

  • Weidling F, Sprung B, Hohage T. 2020. Optimal convergence rates for Tikhonov regularization in Besov spaces. SIAM J. Numer. Anal. 58: 21-47. doi:10.1137/18M1178098

  • 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