I am Willi Kepplinger, a fourth year PhD student supervised by Vera Vértesi and Michael Eichmair. My PhD project is centered around interactions between (Riemannian) Geometry and (Contact) Topology.

Apart from Mathematics I enjoy playing soccer, reading, and scuba diving. I won't say no to bouldering or hiking either, so let me know if you are looking for people to join you!

Contact

E-Mail: willi.kepplinger@univie.ac.at

ORCiD:

0000-0002-0339-9374

Journal articles

  1. Willi Kepplinger, An Algorithm taking Kirby diagrams to trisection diagrams Pacific Journal of Mathematics, Vol. 318 (2022), No. 1, 109–126 (link to journal).

Preprints

  1. Josef Greilhuber, Willi Kepplinger, On Arnold's Transversality Conjecture for the Laplace-Beltrami Operator arxiv

  2. Willi Kepplinger, In Dimension 3 the Beltrami Operator has simple Spectrum along generic 1-Parameter Families of Riemannian metrics, but the Hodge Laplacian does not arxiv