Alternatively have a look at the program.

## Panel discussion: What is research in mathematics like?

## Research talk: Ramanujan, partitions, and modular forms

Modular forms, at the interface between number theory, analysis, and representation theory, are one of the central and most beautiful areas of modern mathematical research. In this talk I will explain a little what they are and how to use them, using Ramanujan and some of his work as a point of departure. In particular, I will describe his famous congruences modulo 5, 7 and 11 and an extremely simple proof of them, and also tell about his even more famous paper with Hardy on the asymptotics of the number of partitions of an integer, in which they invented what is now known

## PhD student talks

**Elena Dematte: On some properties of the radiative transfer equation**

## Plenary talk

## Panel discussion: How to apply to Master’s and PhD programmes?

## Research talk: On the birational geometry of matroids

The theory of matroids provides a unified abstract treatment of the concept of dependence in linear algebra and graph theory.

In this talk we introduce matroids and their Bergman fans, and we investigate isomorphisms of Bergman fans for different fan structures.

In particular, we introduce and study combinatorial Cremona automorphisms.

This is joint work with Kris Shaw.

## Research talk: Multiscale dynamics and some applications

In nature one can often observe rapid changes in time or space, alternated with periods or regions with very similar patterns. Mathematically such behaviour can often be modelled by differential equations with both small and large parameters, giving rise to slow and fast dynamics. In this talk we give an introduction to such differential equations and discuss some applications.

## Panel discussion: What to do with a PhD in mathematics?

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