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.


If you are interested in doing a project toward Honours / Masters Thesis, please feel free to contact me.

Seminars

Teaching

  • 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

The Keystone of "Totality of rational points on algebraic stacks via Height moduli framework"

  • On the number of elliptic curves with positive rank over function fields

  • Tate's algorithm via twisted maps for genus 2 curves and abelian surfaces

  • On the number of elliptic curves with positive rank over function fields

  • Arithmetic of the compact moduli of elliptic K3 surfaces

  • Motivic aspects of exotic smoothness on elliptic surfaces

Publications and Preprints

  • 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 >

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

  • Étale cohomological stability of the moduli space of stable elliptic surfaces
    (with Oishee Banerjee and Johannes Schmitt)
    • < Preprint, 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: November 11th 2024