I am a postdoc in the working group of Ulrich Thiel at RPTU Kaiserslautern-Landau.
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 for example helped implementing algorithms for invariant theory in OSCAR; see also my github profile.
You can find my CV here.
Contact
E-mail: schmitt@mathematik.uni-kl.de
Office: 48-420
Address:
RPTU Kaiserslautern-Landau
Department of Mathematics
Postfach 3049
67653 Kaiserslautern
Germany
Not who you were looking for? Maybe you should try johannesschmitt.gitlab.io.
Preprints
- The class group of a minimal model of a quotient singularity, 2023, arXiv
Publications
- On parabolic subgroups of symplectic reflection groups, with G. Bellamy and U. Thiel, Glasg. Math. J. 65 (2023), no. 2, 401–413, Link, arXiv
- Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution, with G. Bellamy and U. Thiel, Math. Z. 300 (2022), no. 1, 661–681, Link, arXiv
Theses
- On $\mathbb Q$-factorial terminalizations of symplectic linear quotient singularities, PhD Thesis, RPTU Kaiserslautern-Landau, 2023, Supervisor: U. Thiel, Link
- On a Theorem of Eichler, Master’s Thesis, TU Kaiserslautern, 2019, Supervisor: T. Hofmann, PDF
Talks
- 25 April 2023 at Friedrich-Schiller-Universität Jena: On $\mathbb Q$-factorial terminalizations of symplectic linear quotient singularities
- 30 November 2022 at the Nikolaus School Computational Geometry of the SFB-TRR 195 (ITWM Fraunhofer Institute): Computing Cox rings of linear quotients in OSCAR, Slides
- 22 September 2022 at the Retreat of the SFB-TRR 191 (Ruhr-Universität Bochum): Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution, Slides
- 20 September 2022 at the Sixth annual conference of the SFB-TRR 195 (Eberhard Karls Universität Tübingen): OSCAR case studies: Computing Cox rings of linear quotients in OSCAR, Slides
- 25 August 2022 at A Day of Geometry in Glasgow (University of Glasgow): Towards the classification of symplectic linear quotient singularities admitting a symplectic resolution, Slides
- 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 and introductory talks 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), Kaplansky’s conjectures (german), SAGBI bases (german).
Teaching
Course Assistance
- Summer 23: Einführung in das Symbolische Rechnen (“Introduction to symbolic computing”)
- Winter 22/23: Algebraic Geometry
- Summer 22: Cryptography
- Winter 21/22: Commutative Algebra
- Summer 21: Cryptography
- Winter 20/21: Commutative Algebra
- Summer 20: Computeralgebra