I am a mathematician, working at Heidelberg University.
In Fall 2019, I was a Visiting Assistant Professor in Mathematics at NYU Shanghai. From April 2016 to August 2019, I was a Postdoctoral fellow at the University of Toronto, working with Kasra Rafi and Giulio Tiozzo. I did my PhD under the supervision of Gabriela Weitze-Schmithüsen when working with this group.
At UofT, I coordinated the Postdoc Seminar which is a series of informal talks. It takes place every Friday at 11am. The announcements for upcoming talks can be found here. In fall 2018, I also coordinated the Working Seminar of the Teichmüller theory semester at the Fields Institute. Furthermore, I am a junior editor of the Snapshots of modern mathematics from Oberwolfach.
I believe in the content of the statement of inclusiveness and the axioms set forth by Federico Ardila-Mantilla.
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.
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.
In the winter term 2020/21, I will organize the exercise classes for Linear Algebra I at Heidelberg University.
In fall 2019, I taught Honors Calculus at NYU Shanghai. In winter 2018 and 2019, I taught MATB43 (Introduction to Analysis), STAB41 (Financial Derivatives), and twice MATD01 (Fields and Groups) at University of Toronto Scarborough. For more information and my previous teaching in Karlsruhe, see Teaching.