$ \DeclareMathOperator{\arccosh}{arccosh} \DeclareMathOperator*{\argmin}{arg\,min} \DeclareMathOperator{\Exp}{Exp} \newcommand{\geo}[2]{\gamma_{\overset{\frown}{#1,#2}}} \newcommand{\geoS}{\gamma} \newcommand{\geoD}[2]{\gamma_} \newcommand{\geoL}[2]{\gamma(#2; #1)} \newcommand{\gradM}{\nabla_{\M}} \newcommand{\gradMComp}[1]{\nabla_{\M,#1}} \newcommand{\Grid}{\mathcal G} \DeclareMathOperator{\Log}{Log} \newcommand{\M}{\mathcal M} \newcommand{\N}{\mathcal N} \newcommand{\mat}[1]{\mathbf{#1}} \DeclareMathOperator{\prox}{prox} \newcommand{\PT}[3]{\mathrm{PT}_{#1\to#2}#3} \newcommand{\R}{\mathbb R} \newcommand{\SPD}[1]{\mathcal{P}(#1)} \DeclareMathOperator{\Tr}{Tr} \newcommand{\tT}{\mathrm{T}} \newcommand{\vect}[1]{\mathbf{#1}} $

About Me

R. Bergmann I am a postdoctoral researcher and joined the Arbeitsgruppe Numerik partieller Differentialgleichungen lead by Roland Herzog in April 2018. Previously I worked within the Image Processing Group at TU Kaiserslauten led by Gabriele Steidl, where I wrote my habilitation. Prior to that I was a doctoral researcher with teaching obligations at the Institut für Mathematik at the Universität zu Lübeck working together with my PhD supervisor Jürgen Prestin.

My Erdős number is 3, by courtesy of Jürgen Prestin.

Currently I am working on

  • graph based methods for manifold-valued image and data processing combining both local and nonlocal methods.
  • optimization on manifolds, especially proximal methods and their application in manifold-valued image processing
  • implementing optimization methods on manifolds and high-dimensional poewer manifolds as they appear in the previous two topics in open source software packages, see my projects
  • anisotropic periodic translation invariant spaces and Fourier based algorithms applied to Homogenization

Miscelanea

A short list of pages, where you can find me, too

Research has the advantage that you get around! it brought me to

  • Bologna (Italy)
  • Berlin
  • Beijing (China)
  • Mannheim
  • Kolding (Denmark)
  • Louvain-la-Neuve (Belgium)
  • Weimar
  • Albuquerque, NM (USA)
  • Braunschweig
  • Leicester (United Kingdom)
  • Münster
  • Darmstadt
  • Bordeaux
  • Cambridge (United Kingdom)
  • Hong Kong (China)
  • Paris (France)
  • Munich
  • Erlangen
  • Clausthal
  • Kaiserslautern
  • Kiev (Ukraine)
  • Rostock
  • Leipzig
  • Marburg
  • Strobl (Austria)
  • Osnabrück
  • Chemnitz
  • Freiberg
  • as well as several small workshop venues in Germany