About me

Since April 2016, I am a Postdoctoral fellow at the University of Toronto. First, my fellowship was funded by DFG (Europe's largest research funding organization), now it is funded by University of Toronto Scarborough. I am working with Kasra Rafi and Giulio Tiozzo.

Before moving to Toronto, I spent most of my academic life at the Karlsruhe Institute of Technology. I did my PhD under the supervision of Gabriela Weitze-Schmithüsen when working with this group.

At UofT, I am coordinating the Postdoc Seminar which is a series of informal talks. It takes place on Fridays at 11am. The announcements for upcoming talks can be found here. Furthermore, I am a junior editor of the Snapshots of modern mathematics from Oberwolfach.

I believe in the content of the statement of inclusiveness.

Infinite translation surfaces

Finite translation surfaces arise in very different contexts. There are relations to dynamical systems (in particular billiards), to Teichmüller theory, to geometric group theory, to algebraic geometry, and many other fields.

double pentagon The most visual way to define a finite translation surface is by considering finitely many polygons in the plane. If every edge of the polygons can be identified with a parallel edge of the same length so that we obtain a connected, orientable surface then the resulting object is a translation surface. In the picture, you can see a famous example which is called the double pentagon.

My research is concerned with a generalization of these objects, called infinite translation surfaces. They allow more variety compared to the finite case and in particular, the singularities can be more diverse. A common topological type that infinite translation surfaces have, is the one of a Loch Ness monster.

For more information on what I am interested in, see Research.

Teaching

I will start teaching at University of Toronto Scarborough in winter 2018. For my teaching in Karlsruhe, see Teaching.