Konstantin Wernli

Konstantin Wernli

Postdoctoral Research Associate

Ph.D. Universität Zürich, Zürich, Switzerland, 2019
M.S., Eidgenössische Technische Hochschule (ETH), Zürich, Switzerland, 2013
B.S., Eidgenössische Technische Hochschule (ETH), Zürich, Switzerland, 2013

Email: kwernli@nd.edu
Office: 118 Hayes-Healy Bldg
Phone: (574) 634-6505
Fax: (574) 631-6579

Mailing Address:
255 Hurley Bldg
Notre Dame, IN  46556-4618

For additional information see Konstantin Wernli’s Personal Page.

Research Interests

My main research interest lies in the mathematics of quantum field theory, in particular, in different manifestations of functional integrals. In the case of the topological theories (my main focus are Chern-Simons theory and other AKSZ theories) one can extract topological invariants from the functional integral in both perturbative and non-perturbative approaches. The relation between these is often unknown, and one of the main objects of my research. To this end I am investigating cutting-and-pasting methods in perturbative quantum field theory- i.e. computing partition functions on manifolds with boundaries (and possibly corners of higher codimension) in a way compatible with cutting and gluing. 
I am also interested in the following topics:
  • Other Bulk-boundary correspondences in mathematical physics, e.g. holographic principles 
  • Anomalies in quantum field theory 
  • Invariants of 3-manifolds 
  • Entanglement in multi-particle systems and QFT 
  • Symplectic groupoids and polarizations in quantization

Selected Publications

  • Towards holography in the BV-BFV setting, Pavel Mnev, Michele Schiavina, Konstantin Wernli,  arXiv:1905.00952     
  • Theta Invariants of lens spaces via the BV-BFV formalism, Alberto S. Cattaneo, Pavel Mnev, Konstantin Wernli, arXiv:1810.06663 
  • Globalization for Perturbative Quantization of Nonlinear Split AKSZ Sigma Models on Manifolds with Boundary, Alberto S. Cattaneo, Nima Moshayedi, Konstantin Wernli, arXiv:1808.01832

Please direct questions and comments to: kwernli@nd.edu