Dr. Augusto Stoffel

Kontakt

Dr. Augusto Stoffel

Institut für Mathematik und Informatik
Walther-Rathenau-Str. 47
17489 Greifswald

 

Telefon +49 3834 420 4650

augusto.ritterstoffeluni-greifswaldde

I am a postdoc in the group of Konrad Waldorf.  Before that, I was a postdoc at the Max Planck Institute for Mathematics in Bonn, where my mentor was Peter Teichner.  I got my Ph.D. in 2016 at the University of Notre Dame under the supervision of Stephan Stolz.

My research is in topological quantum field theory and its relation to algebraic topology.  I am particularly interested in supersymmetric Euclidean field theories and their application to orbifold cohomology, as well as formulations of geometric, fully extended cobordism categories.  More broadly, I am interested in homotopical and higher categorical structures in differential geometry.

Publications

  • Supersymmetric field theories from twisted vector bundles
    Communications in Mathematical Physics 367 (2019), 417–453
    arXiv:1801.03016  journal
  • Dimensional reduction and the equivariant Chern character
    Algebraic and Geometric Topology 19-1 (2019), 109–150
    arXiv:1703.00314  journal
  • Supersymmetric quantum field theories and orbifold cohomology
    Ph.D. thesis, University of Notre Dame, April 2016
    Available here

In preparation

  • A framework for smooth geometric field theories and classification of one-dimensional field theories
    Joint with Matthias Ludewig and Stephan Stolz
    Draft available upon request