Park Jun-Yong (朴俊勇)

Mailing Address:

School of Mathematics and Statistics
The University of Sydney
Camperdown NSW 2006
Australia

Office: Room 493, Carslaw Building (F07)

Email: june.park [at] sydney.edu.au

Website: www.fibration.net


Seminars
Teaching
Research
Miscellaneous

About me

I am a Lecturer and a member of the pure mathematics research group at the University of Sydney.
Previously, I was a research fellow at the University of Melbourne, MPIM Bonn and IBS-CGP Pohang.
I received Ph.D. in 2018 from the University of Minnesota under the supervision of Craig Westerland.

I'm interested in the arithmetic theory of algebraic varieties and moduli spaces, with focus on the geometry of rational points on algebraic stacks over function fields — viewed as families of varieties over curves.

Slides (Sanya 2025) "Height moduli spaces and exact Shafarevich counts for families of varieties"

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

Seminars & Workshops

Teaching

  • MATH2069: Discrete Mathematics and Graph Theory.
    The University of Sydney, Spring 2026.
  • MATH1062/1023: Math 1B - Multivariable Calculus and Modelling.
    The University of Sydney, Spring 2026.
  • MATH3061: Geometry & Topology.
    The University of Sydney, Fall 2025.
  • Topics in NT: Totality of rational points on moduli stacks - Counting families of varieties.
    KIAS-LFANT Winter School on Number Theory, January 2025.
  • MATH1004: Discrete Mathematics.
    The University of Sydney, Fall 2024.
  • Topics in AG: Elliptic Surfaces - Classical to Moduli.
    The University of Melbourne, Spring 2023.

Projects in progress

  • Arithmetic of the moduli of Calabi-Yau fibrations over function fields

  • Tate's algorithm via twisted morphisms of abelian surfaces

  • Motivic aspects of exotic smoothness on elliptic surfaces

Publications and Preprints

  • Height moduli of elliptic surfaces: Motivic height zeta rationality and Kudla-Millson modularity of Mordell-Weil rank jumps
    < Preprint, arXiv, Journal >

  • Counting isomorphism classes of elliptic curves over Fq(t)
    • < Preprint, arXiv, Journal >

  • 100% of elliptic curves with a marked point have positive rank
    (with Tristan Phillips)
    • < Preprint, arXiv, Journal >

  • 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
    Mathematische Zeitschrift, Vol. 310, No. 4, #84 (2025) (with Johannes Schmitt)
    < SharedIt, arXiv, Journal >

  • Enumerating odd-degree hyperelliptic curves and abelian surfaces over P1
    Mathematische Zeitschrift, Vol. 304, No. 1, #5 (2023) (with Changho Han)
    < SharedIt, 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: April 24th 2026