Johannes Schmitt
I am a PhD student of Rahul Pandharipande at ETH Zürich.
Contact
 Email johannes.schmitt@math.ethz.ch Phone +41446323406 Office HG J 63 Address ETH ZurichDepartment of MathematicsRämistrasse 1018092 ZurichSwitzerland

Research Interests

Algebraic geometry, Moduli spaces of curves, Geometric Invariant Theory, Algebraic stacks, Tautological cycles, Hurwitz spaces, Chow groups
Papers/Preprints

Algebraic geometry
• Zero cycles on moduli spaces of curves (joint with R. Pandharipande) - (2019) - preprint
• Intersections of loci of admissible covers with tautological classes (joint with J. van Zelm) - (2018) - preprint
• Multiplicativity of the double ramification cycle (joint with D. Holmes, A. Pixton) - (2017) - preprint, accepted in Documenta Mathematica
• A correspondence of good G-sets under partial geometric quotients - Beiträge zur Algebra und Geometrie, 59.2 (2018) - preprint, journal version
• Dimension theory of the moduli space of twisted k-differentials - Documenta Mathematica, 23. (2018) - preprint, journal version
• A compactification of the moduli space of self-maps of $$\mathbb{CP}^1$$ using stable maps - Conformal Geometry and Dynamics, 21. (2017) - preprint, journal version
Other subjects
• Counting Induced Subgraphs: An Algebraic Approach to #W[1]-hardness (joint with J. Dörfler, M. Roth, P. Wellnitz) - preprint
• Counting Induced Subgraphs: A Topological Approach to #W[1]-hardness (joint with M. Roth) - IPEC conference 2018 (Best Paper Award and Best Student Paper Award) - preprint
• Cowen-Douglas operators and dominating sets (joint with J. Eschmeier) - Journal of Operator Theory, 1. (2014) - preprint, journal version

A Sage program for calculations in the tautological ring of $$\overline{\mathcal{M}}_{g,n}$$ and computation of cycles of admissible covers (joint with J. van Zelm)
2. The Toric Variety $$\text{Bl}_{n+1} \mathbb{P}^n$$ and its Associated Secondary Fan, Master thesis, 2014
3. A poster concerning the moduli spaces of self-maps of $$\mathbb{CP}^1$$, presented at the AMS Summer Institute 2015 in Salt Lake City
4. A poster about spaces of twisted $$k$$-differentials, presented at the GAeL-conference 2017 in Bath
5. Slides from a beamer talk about a conjectural relation of moduli spaces of twisted $$k$$-differentials and Pixton's class