About me

I am a research fellow in pure mathematics at 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 IBS Center for Geometry and Physics in Pohang, South Korea.
I received Ph.D. in 2018 from University of Minnesota under the supervision of Craig Westerland.

My interests lie at the intersection of 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 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 available upon request >
• 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.
  
• "Here lies Silverhand"

Last updated: October 7th 2022