Johannes Schmitt
I am a Postdoc in Bonn working with Daniel Huybrechts. Previously, I was a PhD student of Rahul Pandharipande at ETH Zürich.
Phone +49 228 73 62258
Address Endenicher Allee 60
53115 Bonn
Office 3.002

Research Interests

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

Algebraic geometry
  • Infinitesimal structure of the pluricanonical double ramification locus (joint with D. Holmes)
    Preprint (2019) - preprint
  • Zero cycles on moduli spaces of curves (joint with R. Pandharipande)
    Preprint (2019) - preprint
  • Intersections of loci of admissible covers with tautological classes (joint with J. van Zelm)
    Preprint (2018) - preprint
  • Multiplicativity of the double ramification cycle (joint with D. Holmes, A. Pixton)
    Documenta Mathematica, 24. (2019) - preprint, journal version
  • 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)
    MFCS conference 2019 - preprint, conference version
  • 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), accepted in Algorithmica - preprint
  • Cowen-Douglas operators and dominating sets (joint with J. Eschmeier)
    Journal of Operator Theory, 1. (2014) - preprint, journal version

A Sage package for calculations in the tautological ring of \(\overline{\mathcal{M}}_{g,n}\) and computation of cycles of admissible covers (joint with V. Delecroix, J. van Zelm)

Conference organization

I am an organizer of the Hausdorff school “Perverse Sheaves in Enumerative Geometry” (February 10-14, 2020).
Some Links & Files
  1. Operators of Cowen-Douglas class, Bachelor thesis, 2012
  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
  6. Slides from my PhD defense talk

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