Johannes Schmitt

I am a PhD student of Ulrich Thiel at TU Kaiserslautern.
My research interests lie in algebraic geometry and representation theory.
More precisely, I am interested in (the existence of) symplectic resolutions, symplectic reflection algebras and Cox rings.
I also always like to see things from an algorithmic point of view and currently help implementing algorithms for invariant theory in OSCAR; see also my github profile.

Contact

E-mail: schmitt@mathematik.uni-kl.de
Office: 48-420

Address:
TU Kaiserslautern
Department of Mathematics
Postfach 3049
67653 Kaiserslautern
Germany

Photo by Laura Voggesberger

Not who you were looking for? Maybe you should try johannesschmitt.gitlab.io.

Publications

  • On parabolic subgroups of symplectic reflection groups, with G. Bellamy and U. Thiel, preprint (2021), arXiv
  • Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution, with G. Bellamy and U. Thiel, Math. Z. 300, 661–681 (2022), Link, arXiv
  • On a Theorem of Eichler, Master’s Thesis, TU Kaiserslautern, 2019, Supervisor: T. Hofmann, PDF

Talks

  • 25 March 2022 at the Retreat of the SFB-TRR 195 (TU Kaiserslautern): On the computation of Cox rings of minimal models of symplectic linear quotients, Slides
  • 11 December 2021 at the Nikolaus conference 2021 (RWTH Aachen University): On parabolic subgroups of symplectic reflection groups
  • 16 September 2021 at the Fifth annual conference of the SFB-TRR 195 (TU Kaiserslautern): Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution, Slides

Various less official talks mostly aimed at fellow PhD students on divisor class groups (german), quotient varieties (german), McKay correspondencies (german), Cox rings (german), constructive invariant theory (german), symplectic resolutions, another one on symplectic resolutions (german), Singular, quiver varieties (german).

Teaching

Course Assistance

  • Summer 22: Cryptography
  • Winter 21/22: Commutative Algebra
  • Summer 21: Cryptography
  • Winter 20/21: Commutative Algebra
  • Summer 20: Computeralgebra