About me

I am a postdoctoral fellow at Max Planck Institute for Mathematics in Bonn, Germany.
I spent the 2018-2021 academic years as a research fellow at IBS Center for Geometry and Physics.
I received Ph.D. in 2018 from University of Minnesota under the supervision of Craig Westerland.

My research work focuses on the arithmetic geometry & topology of the moduli of fibrations with applications to:
fibred algebraic surfaces and their moduli stacks, enumerating curves and abelian varieties over global fields.
I am also interested in the theory of smooth 4-manifolds regarding the Lefschetz fibrations.

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

Teaching

Publications and Preprints

• Arithmetic of the moduli of unstable elliptic surfaces
  
Appendix: Counting elliptic curves with prescribed structures
< work in progress; Appendix >
• Arithmetic geometry of the moduli stack of Weierstraß fibrations over P¹
  (with Johannes Schmitt)
< Preprint, arXiv, Journal >

• Enumerating hyperelliptic curves and abelian surfaces over P¹ with lower order terms
  (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 topology of the moduli stacks of stable elliptic fibrations
  
< Preprint, 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.
  
• Talk for the 5th Heidelberg Laureate Forum at Heidelberg University.
• Best coffee in Minneapolis: Spyhouse, Providence: Bolt, Bonn: Orange.
  
• "Here lies Silverhand"

Last updated: September 7th 2021