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

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

• Upcoming conferences in Algebraic Geometry, Arithmetic Geometry and Algebraic Topology.
  
• Best coffee in Minneapolis: Spyhouse, Providence: Bolt, Bonn: Lighthouse, Seoul: Wayp, Melbourne: Patricia.
  
• "Here lies Silverhand"

Last updated: February 2nd 2023