Publications

Preprints

• Probabilistic representations of nonlocal nonlinear PDEs via branching diffusions with jumps (with Daniel Hoffmann and Frank T. Seifried), 2019.
• Optimal investment for retail investors with floored and capped costs (with Lukas Mich and Frank T. Seifried), 2019.

Publications

• Continuous-time mean field games with finite state space and common noise (with Daniel Hoffmann and Frank T. Seifried), to appear in Applied Mathematics and Optimization, 2021.
• Liquidation in target zone models (with Johannes Muhle-Karbe and Kevin Ou), Market Microstructure and Liquidity, Vol. 4, No. 03n04, 1950010 (12 pages), 2020.
• Finite-horizon optimal investment with transaction costs: Construction of the optimal strategies (with Jörn Sass), Finance and Stochastics, Vol. 23, No. 4, pp. 861-888, 2019.
• Utility maximisation in a factor model with constant and proportional transaction costs (with Sören Christensen), Finance and Stochastics, Vol. 23, No. 1, pp. 29-96, 2019.
• Backward nonlinear expectation equations (with Thomas Seiferling and Frank T. Seifried), Mathematics and Financial Economics, Vol. 12, No. 1, pp. 111-134, 2018.
• A general verification result for stochastic impulse control problems (with Sören Christensen and Frank T. Seifried), SIAM Journal on Control and Optimization, Vol. 55, No. 2, pp. 627-649, 2017.
• Worst-case portfolio optimization in a market with bubbles (with Sören Christensen and Olaf Menkens), International Journal of Theoretical and Applied Finance, Vol. 19, No. 2, 1650009 (36 pages), 2016.
  • Awarded with the Joseph A. Schumpeter Prize 2017 of the Department IV, University of Trier, and Deutsche Bundesbank, Hauptverwaltung in Rheinland-Pfalz und dem Saarland.
• On the uniqueness of unbounded viscosity solutions arising in an optimal terminal wealth problem with transaction costs (with Olaf Menkens and Jörn Sass), SIAM Journal on Control and Optimization, Vol. 53, No. 5, pp. 2878-2897, 2015.
• Worst-case portfolio optimization with proportional transaction costs (with Olaf Menkens and Jörn Sass), Stochastics: An International Journal of Probability and Stochastic Processes, Vol. 87, No. 4, pp. 623-663, 2015.
• Worst-case optimal investment with a random number of crashes (with Sören Christensen and Olaf Menkens), Statistics & Probability Letters, Vol. 90, pp. 140-148, 2014.

PhD Thesis

• Worst-case portfolio optimization: Transaction costs and bubbles, University of Kaiserslautern, 2015.
  • Awarded with the Gauss-Nachwuchspreis of the Deutsche Gesellschaft für Versicherungs- und Finanzmathematik (DGVFM).
  • Awarded with the Prize for Outstanding Scientific Achievements of the Freundeskreis der Technischen Universität Kaiserslautern.

Diploma Thesis

• Worst-case portfolio optimization under proportional transaction costs, University of Kaiserslautern, 2011.
  • Awarded with the Landesbank Baden-Württemberg Auszeichnung für herausragende Leistung im Rahmen der Abschlussarbeit.