My research focuses on the application of stochastic models in the life-sciences, especially population dynamics and genetics. The idea of deepening our understanding of the world around us and its evolution (past and future), through the use of mathematics, is what fascinates me most.

1. The creative process of designing and refining mathematical models to capture real life effects in a feasible manner.
2. Coding simulations in a smart way, as efficient as I can, then watching the model come alive and derive and test hypotheses.
3. Find ways to rigorously prove results – hopefully said hypotheses.

Apart from my research I find working with the next generation of mathematicians very satisfying; teaching, supervising and watching them grow.

• WiSe 2024: Höhere Stochastik / Advanced stochastics (Moodle-Seite)
• SoSe 2024: Mathematische und statistische Methoden für Pharmazeuten (Moodle-Seite)
• WiSe 2023: Stochastische Prozesse II, Stochastische Modelle der Versicherungsmathematik
• SoSe 2023: Stochastische Prozesse I
• WiSe 2022: Höhere Stochastik / Advanced stochastics, Stochastische Modelle der Populationsgenetik
• SoSe 2022: Elementare Stochastik

• From clonal interference to Poissonian interacting trajectories, preprint (submitted to AAP), (2024) with A. Gonzalez Casanova, R.S. dos Santos, A. Tobiás, A. Wakolbinger
• The contact process with switching, MathematicS In Action 12(1), 135-154, (2023) with J. Blath, M. Reitmeier
•  A branching process model for dormancy and seed banks in randomly fluctuating environments,  J Math Biology 83(17), (2021) with J. Blath, M. Slowik
• The partial duplication random graph with edge deletion, ALEA, Lat. Am. J. Probab. Math. Stat. 18, 325-347, (2021) with P. Pfaffelhuber
• Markov branching processes with disasters: Extinction, survival and duality to p-jump processes, SPA, Stoch. Proc. Appl. 130(4), 2488-2518, (2020) with P. Pfaffelhuber
• Large-scale behavior of the partial duplication random graph, ALEA, Lat. Am. J. Probab. Math. Stat. 13(2), 687-710, (2016) with P. Pfaffelhuber

• May, 2022: Workshop Impacts of dormancy and latency on host parasite dynamics, Hausdorff
  Institute for Mathematics (HIM), Bonn: "Fitness advantages of seed bank strategies
  in random environment"
• Nov. 2021: Seminar Stochastic processes and applications in biology, Technische Universität
  Berlin: "Interacting Poissonian trajectories and clonal interference: simulation and
  scaling limits"
• Sept. 2020: Workshop Active and dormant friends of multiple merger coalescents and seedbanks,
  Mainz: "Fitness Advantages of seed bank strategies in random environment"
• Sept. 2019: Workshop Evolutionary Consequences of Dormancy within DFG Priority Pro-
  gram 1590 Random Structures in Evolution, Berlin: "Evolutionary Advantages of
  seed-banks in fluctuating environments"
• April 2019: Seminar Stochastic processes and applications in biology, Technische Universität
  Berlin: "Approximation of the logistic Feller diffusion"
• Oct. 2018: Annual SPP colloquium within DFG Priority Program 1590 Random Structures in
  Evolution, Frankfurt: "Branching Processes with Disasters: Survival Probabilities
  and Rates of Convergence via Dual Processes"
• Feb. 2018: 13th German Probability and Statistics Days, Freiburg: "Branching Processes with
  Disasters and Applications for Duplication-based Random Graphs"
• Nov. 2014: Workshop Duality of Markov Processes and Applications to Spatial Population
  Models within DFG Priority Program 1590 Random Structures in Evolution, Berlin:
  "Using Duality in the Partial Duplication Random Graph"