Form und zeit

There are two ways of thinking about mathematics in biology. (1) How do real world biological problems motivate mathematical problems. (2) How does mathematics allow us to advance biological and biomedical challenges. In this talk I will address both. In the first part of the talk I will start with applied problems in time series modeling in microbial ecology and move to the question of when can a dynamical system be learned. In the second part I will start with geometric and topological representations of shape and move to how we use these for biomedical applications and medical interventions. I probably should have stated the title as zeit und form.