Speaker:  Martin Raum, Chalmers University of Technology, Gothenburg, Sweden

We take a tour of some modular forms, one particular topic that modular forms have strongly impacted, and how their relation has developed over the decades. Starting with a natural counting problem, that is with combinatorics, we will transition through a timeline where modular forms help solve major open questions but also shape the questions being asked. Eventually, we return to the counting problem, and reexamine which questions remain open from a combinatorial perspective - and how modular forms can help to answer them.