Johannes Schmitt
I am a Postdoc in Bonn working with Daniel Huybrechts. Previously, I was a PhD student of Rahul Pandharipande at ETH Zürich. My CV can be found here.
Contact
Email schmitt@math.uni-bonn.de
Phone +49 228 73 62258
Address Endenicher Allee 60
53115 Bonn
Germany
Office 3.002


Teaching

V5A4 - Selected Topics in Algebraic Geometry - The moduli space of curves (Summer term 2020)
Research Interests

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

Algebraic geometry
  • Tevelev degrees and Hurwitz moduli spaces (joint with A. Cela, R. Pandharipande)
    Preprint (2021) - preprint
  • The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves (joint with S. Molcho, R. Pandharipande)
    Preprint (2021) - preprint
  • Chow rings of stacks of prestable curves (joint with Y. Bae)
    Preprint (2020) - preprint
  • Pixton's formula and Abel-Jacobi theory on the Picard stack (joint with Y. Bae, D. Holmes, R. Pandharipande, R. Schwarz)
    Preprint (2020) - preprint
  • admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves (joint with V. Delecroix, J. van Zelm)
    Preprint (2020) - preprint
  • 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)
    Épijournal de Géométrie Algébrique, 4. (2020) - preprint, journal version
  • Intersections of loci of admissible covers with tautological classes (joint with J. van Zelm)
    Selecta Mathematica, 26. (2020) - preprint, journal version
  • 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
  • Detecting and Counting Small Subgraphs, and Evaluating a Parameterized Tutte Polynomial: Lower Bounds via Toroidal Grids and Cayley Graph Expanders (joint with M. Roth, P. Wellnitz)
    Preprint (2020) - preprint
  • Counting Small Induced Subgraphs Satisfying Monotone Properties (joint with M. Roth, P. Wellnitz)
    FOCS conference 2020 - preprint
  • 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), Algorithmica, 82. (2020) - preprint, journal version
  • Cowen-Douglas operators and dominating sets (joint with J. Eschmeier)
    Journal of Operator Theory, 1. (2014) - preprint, journal version
Lecture notes

The moduli space of curves (Summer 2020)


admcycles
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)

Organization

Hausdorff school “Perverse Sheaves in Enumerative Geometry” (February 10-14, 2020).
Online working seminar “Smooth compactifications and bChow intersections via blowups/subdivisions” (Summer 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
  7. A talk about the relation between strata of k-differentials and double ramification cycles
  8. Another talk about the relation between strata of k-differentials and double ramification cycles
  9. An (interactive) talk about the software package admcycles, given in Zurich
  10. Another (interactive) talk about the software package admcycles, given in Leiden
  11. A talk about a paper by Pandharipande-Yin about relations in the Chow group of the moduli of K3 surfaces

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