I'm a doctoral student in the analysis research group of Gero Friesecke. My research focuses on multimarginal optimal transport with an emphasis on computational aspects and genetic algorithms.
I received my bachelor's degree from the University of Göttingen under the supervision of Axel Munk in 2018, and my master's degree from the Technical University of Munich under the supervision of Gero Friesecke in 2021.

Publications

• M. Penka, "Genetic Column Generation for Computing Lower Bounds for Adversarial Classification." (2024) Preprint
• G. Friesecke, and M. Penka, "Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport."  Math. Comp. (2024) Article Preprint
• G. Friesecke, and M. Penka, "The GenCol algorithm for high-dimensional optimal transport: general formulation and application to barycenters and Wasserstein splines." SIAM J. Math. Data Sci. 5 (2023), no. 4, 899–919. Article Preprint

Teaching

• Exercises for Optimal Transport (SoSe 24)
• Übungen zu Mathematik für Physiker 4 (Analysis 3) (WiSe 23/24)
• Bachelor-Workshop: Fourier-Reihen (SoSe 23)
• Hausaufgabenhilfe Analysis 1 (WiSe 22/23)
• Hauptseminar: Fortgeschrittene Themen in der optimalen Transporttheorie (WiSe 22/23)
• Exercises for Optimal Transport (SoSe 22)
• Übungen zu Analysis 3 (WiSe 21/22)