Research topics

In my research I use variational methods to tackle problems in applied analysis with applications in data science. My main research topics are:

• PDEs on graphs

• Adversarial robustness in machine learning

• Inverse problems

• Optimization

• Variational problems in L-infinity

• Nonlinear eigenvalue problems

• Image reconstruction with structural priors

Please have  a look at my publications and code.

Main Collaborators 

• Vadym Aizinger (University of Bayreuth)

• Farid Bozorgnia (Técnico Lisboa)

• Martin Burger (DESY, Hamburg)

• Jeff Calder (University of Minnesota)

• Antonin Chambolle (CMAP, Ecole Polytechnique)

• Matthias J. Ehrhardt (University of Bath)

• Nicolás García Trillos (University of Wisconsin Madison)

• Guy Gilboa (Technion, Israel Institute of Technology)

• Yury Korolev (University of Bath)

• Tim Laux (University of Regensburg)

• Ryan Murray (NC State University)

• Matteo Novaga (University of Pisa)

• Nicolas Papadakis (University of Bordeaux)

• René Raab (University of Erlangen)

• Rafael Reisenhofer (University of Vienna)

• Tim Roith (DESY, Hamburg)

• Carola-Bibiane Schönlieb (University of Cambridge)

• Leo Schwinn (Technical University of Munich)

• Kerrek Stinson (University of Bonn)

• Daniel Tenbrinck (University of Erlangen)

• Philipp Wacker (University of Canterbury)