Research Interests

Mathematics

• Ordinary differential equations and bifurcation theory
• Cellular Automata
• Partial differential equations and dimension reduction methods
• Stochastic branching processes
• Particle processes
• Parameter estimation, model comparison

Biology

Public Health:

• Models describing the spread of diseases in populations
• Control measures like mass vaccination, ring vaccination, contact tracing
• Comparison of different control measures under various aspects (effectivity, economics)

Ecology:

• Population dynamics 
• Quroum Sensing and bacterial communication strategies

Evolution

• Effect of switching environment on evolution
• evolutionary stable nutirent uptake strategies

Social Sciences

• elections and neutral models
• communication models

Teaching

Summer Semester 2020

• Advanced Mathematical Biology [MA3602]
• Analysis 2 für LG [MA9938]
• Seminar Quantum Computing (Mit Volker Hösel)
• Workshop Elementare Konzepte der Populationsgenetik

Winter Semester 2019/2020

• Mathematical Models in Biology [MA3601]
• Analysis 1 LG [MA9937]
• Seminar Radom Matrizen (mit V. Hösel)
• Bachelor/Master Seminar (mit Ch. Kuttler)

Summer Semester 2019

• Case Studies in Life Science Mathematics [MA5616]
• Höhere Mathematik 3 WZW [MA9603]
• Seminar: Mathematische Modelle demokratischer Wahlen
• Workshop: Zelluläre Automaten

Winter Semester 2018/2019

• Population Genetics and Cooperation [MA5615]
• Höhere Mathematik 1 WZW [MA9601]
• Seminar: Interagierende stochastische Partikelsysteme

Summer Semester 2018

• Advanced Mathematical Biology [MA3602]
• Mathematik 2 für das Studium Naturale [MA9963]
• Hauptseminar: Transportgleichungen in der Biologie
• Case Studies in Life Science Mathematics [MA5616]
• Studium Naturale: Interdisziplinäres Seminar

Winter Semester 2017/2018

• Mathematical Models in Biology [MA3601]
• Mathematik zum Studium Naturale [MA9963]

Summer Semester 2017

• Applications of Cellular Automata [MA5609]
• Case Studies Life Science Mathematics [MA5616]
• Höhere Mathematik 3 WZW [MA9603]
• Seminar: Mathematical Epidemiology
• Workshop: Chaotische Dynamische Systeme

Winter Semester 2016/2017

• Population Genetics and Cooperation [MA5615]
• Höhere Mathematik 1 Wissenschaftszentrum Weihenstephan [MA9601]
• Hauptseminar: Singular perturbation methods and application

Summer Semester 2016

• Advanced Mathematical Biology [MA3602]
• Case Studies Life Science Mathematics [MA5616]
• Hauptseminar: Asymptotische Methoden für die Fokker-Planck-Gleichung
• Workshop: Turing Maschinen und berechenbare Funktionen

Winter Semester 2015/2016

• Mathematical Models in Biology [MA3601]
• Theory of Cellular Automata [MA5611]
• Hauptseminar: Theorie und Anwendung stochastischer Graphen

 Summer Semester 2015

• Dynamics of Infectious Diseases [MA5614]
• Höhere Mathematik 3 WZW [MA9603]
• Workshop (Einführung in die Graphentheorie) [MA6002]
• Hauptseminar: Theorie und Anwendungen von Geburts-Todesprozessen

Winter Semester 2014/2015

• Applications of Cellullar Automata [MA5609]
• Höhere Mathematik 1 Wissenschaftszentrum Weihenstephan [MA9601]
• Hauptseminar: Mathematische Epidemiologie

Sommer Semester 2014

• Advanced Mathematical Biology [MA3602]
• Hauptseminar: Koaleszenz und Anwendungen

Winter Semester 2013/2014

• Mathematical Models in Biology [MA 3601]
• Hauptseminar - Modelle biologischer Systeme
• Hauptseminar - Parameterheterogenität in dynamischen Systemen