I am a mathematics researcher at Ruhr-Universität Bochum, working with Kai Zehmisch. In Spring 2018 I completed my PhD with Katrin Wehrheim at UC Berkeley.
I study polyfold theory, as developed by Helmut Hofer, Kris Wysocki, and Eduard Zehnder. I have used it to give a complete proof of the Gromov-Witten axioms.
Dissertation
[eScholarship] Gromov-Witten Axioms for Symplectic Manifolds via Polyfold Theory
Papers
[arXiv] The Steenrod problem for orbifolds and polyfold invariants as intersection numbers
[arXiv] Naturality of polyfold invariants and pulling back abstract perturbations
[arXiv] The Gromov-Witten axioms for symplectic manifolds via polyfold theory
[arXiv] (with Stefan Suhr and Kai Zehmisch) Non-fillability of overtwisted contact manifolds via polyfolds
[arXiv] Pseudocycle Gromov-Witten invariants are a strict subset of polyfold Gromov-Witten invariants
Talks