Park Jun-Yong (朴俊勇)

Mailing Address:

School of Mathematics and Statistics
The University of Melbourne
Parkville VIC 3010
Australia

Office: 172812 Peter Hall Building

Email: june.park [at] unimelb [dot] edu [dot] au

Website: www.fibration.net



Teaching
Research
Miscellaneous

About me

I am a research fellow in pure mathematics at the University of Melbourne in Victoria, Australia.
Previously, I was a guest at the Max Planck Institute for Mathematics in Bonn, Germany.
Even earlier, a postdoctoral fellow at the IBS Center for Geometry and Physics in Pohang, South Korea.
I received Ph.D. in 2018 from the University of Minnesota under the supervision of Craig Westerland.

My interests lie at the intersection of arithmetic algebraic geometry and algebraic topology.
Particularly, I like to think about the topology of algebraic spaces originating from moduli problems e.g. the moduli space of fibered algebraic surfaces, moduli space of morphisms between certain varieties/stacks.
And their arithmetic implications as enumerating algebraic curves or abelian varieties over global function fields.

Here are my profiles on Google Scholar, MathSciNet, ZbMATH, arXiv and Curriculum Vitæ.

Teaching

Elliptic Surfaces - Classical to Moduli. Spring 2023.

Publications and Preprints

    • Height moduli on cyclotomic stacks and counting elliptic curves over function fields
    • (with Dori Bejleri and Matthew Satriano)
      < Preprint, arXiv, Journal >

    • Étale cohomological stability of the moduli space of stable elliptic surfaces
      (with Oishee Banerjee and Johannes Schmitt)
    • < Preprint, arXiv, Journal >

    • Arithmetic geometry of the moduli stack of Weierstraß fibrations over P1
      (with Johannes Schmitt)
    • < Preprint, arXiv, Journal >

    • Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
      (with Changho Han)
    • < Preprint, arXiv, Journal >

    • Motive of the moduli stack of rational curves on a weighted projective stack
      Research in the Mathematical Sciences, Vol. 8, No. 1, #1 (2021) (with Hunter Spink)
      Special issue of PIMS 2019 Workshop on Arithmetic Topology
    • < SharedIt, arXiv, Journal >

    • Arithmetic of the moduli of semistable elliptic surfaces
      Mathematische Annalen, Vol. 375, No. 3-4, 1745-1760 (2019) (with Changho Han)
    • < SharedIt, arXiv, Journal >

    • Unique fiber sum decomposability of genus 2 Lefschetz fibrations
      Topology and its Applications, Vol. 222, 29-52 (2017)
    • < arXiv, Journal >

    • Lantern substitution and new symplectic 4-manifolds with b2+ = 3
      Mathematical Research Letters, Vol. 21, No. 1, 1-17 (2014) (with Anar Akhmedov)
    • < arXiv, Journal >

    Miscellaneous

    Last updated: October 22nd 2022