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, moduli spaces with connections to number theory.
Particularly, the geometry of rational points on stacks and counting families of varieties over function fields.

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

Seminars

Teaching

  • MATH3061: Geometry & Topology.
    The University of Sydney, Fall 2025.
  • MATH1062/1023: Math 1B - Multivariable Calculus and Modelling.
    The University of Sydney, Spring 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

Research program of "Totality & Inner arithmetic of rational points on moduli stacks"

  • Unity in families of varieties via monodromy factorizations, twisted morphisms and rational points

  • Tate's algorithm via twisted morphisms of genus 2 curves and abelian surfaces

  • Arithmetic of the compact moduli of elliptic K3 surfaces

  • Motivic aspects of exotic smoothness on elliptic surfaces

I am deeply honored to give a contributed talk at the 2025 Summer Research Institute in Algebraic Geometry.

Publications and Preprints

  • 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 >

  • Quantitative rank distribution conjecture over Fq(t)
    • < 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: July 8th 2025