Younghan Bae


I am a Postdoc (Donald J. Lewis Research Assistant Professor) at University of Michigan with Alexander Perry and Aaron Pixton. I am also a visiting fellow at Korea Institute for Advanced Study (KIAS). Before this, I was a Postdoc (supported by SNSF Postdoc.Mobility grant) at Utrecht University with Martijn Kool and I was a PhD student of Rahul Pandharipande at ETH Zürich. My CV can be found here.

Contact
Email younghan@umich.edu
Phone
Adress Department of Mathematics
2074 East Hall, 530 Church Street
Ann Arbor, Michigan
USA
Office Room 1842

Research Interests

I am interested in moduli spaces arising from algebraic geometry, including moduli spaces of curves, moduli spaces of sheaves, Picard stacks, abelian fibration, Calabi-Yau 4-folds and intersection theory.
Papers/Preprints (grouped by subject)

Degenerate Abelian fibration

  • The intrinsic cohomology ring of the universal compactified Jacobian over the moduli space of stable curves (joint with D. Maulik, J. Shen and Q. Yin)
    Preprint (2025) - preprint
  • Fourier transforms and Abel-Jacobi theory (joint with S. Molcho and A. Pixton)
    Preprint (2025) - preprint
  • On generalized Beauville decompositions (joint with D. Maulik, J. Shen and Q. Yin)
    Preprint (2024) - preprint

    • Donaldson-Thomas theory

  • Counting surfaces on Calabi-Yau 4-folds II: DT/PT0 correspondence (joint with M. Kool and H. Park)
    Preprint (2024) - preprint
  • Counting surfaces on Calabi-Yau 4-folds I: Foundations (joint with M. Kool and H. Park)
    to appear in Geometry and Topology - preprint

    • Gromov-Witten theory

  • Pixton's formula and Abel-Jacobi theory on the Picard stack (joint with D. Holmes, R. Pandharipande, J. Schmitt, R. Schwarz)
    Acta Mathematica, 230.2 (2023) - preprint, journal version
  • Curves on K3 surfaces in divisibility two (joint with T. Buelles)
    Forum of Mathematics, Sigma (2021) - preprint, journal version
  • Tautological relations for stable maps to a target variety
    Arkiv for Matematik (2020) - preprint, journal version

    • Intersection theory of algebraic stacks

  • Chow rings of stacks of prestable curves II (joint with J. Schmitt)
    Journal für die reine und angewandte Mathematik (Crelles Journal) (2023) - preprint, journal version
  • Chow rings of stacks of prestable curves I (joint with J. Schmitt, appendix joint with J. Skowera)
    Forum of Mathematics, Sigma (2022) - preprint, journal version

    • Expository documents

  • Sheaf counting theory in dimension three and four - Moduli Spaces, Virtual Invariants and Shifted Symplectic Structures, KIAS Springer Series in Mathematics

    • Thesis
  • Intersection theory on the universal Picard, PhD thesis
    • Organization
  • Geometry meet physics: Calabi-Yau fourfolds and beyond link
  • Moduli spaces of algebraic surfaces in Ann Arbor link
    • Some notes and slides
  • Note on Ngo's support theorem,SRI 2025 Bootcamp (Colorado)
  • Counting surfaces in Calabi-Yau fourfolds, IC Zoominar (Zurich/Vancouver)
  • A recent development in Abel-Jacobi theory, KIAS (Seoul)
  • The Chow ring of genus zero prestable curves - Hodge seminar (Edinburgh)
  • Relations on universal Picard stacks and applications, Moduli Zoominar (Zurich)
    • LaTeX formulas on this site powered by MathJax