About me

I received Ph.D. in 2018 under the direction of Craig Westerland at University of Minnesota.

My research work focuses on arithmetic of the moduli stacks of fibrations with applications to:
fibered surfaces and their moduli, enumerating algebraic curves and abelian varieties over global function fields.

Prior to finishing my dissertation, I was fortunate to cover mathematics in various étale site:
Penn State - MASS Program,  Independent University of Moscow - Math in Moscow, and Brown University.

I'm currently moving to become a postdoctoral fellow at Max Planck Institute for Mathematics in Bonn, Germany.

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

Teaching

Publications and Preprints

• Lantern substitution and new symplectic 4-manifolds with b₂⁺ = 3
  Mathematical Research Letters, Vol. 21, No. 1, 1-17 (2014) (with Anar Akhmedov)
< Preprint, Journal >
• Unique fiber sum decomposability of genus 2 Lefschetz fibrations
  Topology and its Applications, Vol. 222, 29-52 (2017)
< Preprint, Journal >
• Arithmetic of the moduli of semistable elliptic surfaces
  Mathematische Annalen, Vol. 375, No. 3-4, 1745-1760 (2019) (with Changho Han)
< Preprint, Journal >
• ℓ-adic étale cohomology of the moduli of stable elliptic fibrations
  
< Preprint, 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 Pacific Institute for the Mathematical Sciences Workshop on Arithmetic Topology
< Preprint, Journal >
• Enumerating algebraic curves and abelian varieties over global function fields with lower order terms
  (with Changho Han)
< Preprint, Journal >

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

• Arithmetic of the moduli of unstable elliptic surfaces
  
< work in progress >

Miscellaneous

• Upcoming conferences in Algebraic Geometry, Arithmetic Geometry and Algebraic Topology.
  
• A biographical memoir of Solomon Lefschetz (1884-1972) by P. Griffiths et al.
• In memoriam of Igor R. Shafarevich (1923-2017) by S. O. Gorchinskiya et al.
• An obituary of Torsten Ekedahl (1955-2011) by L. Illusie et al.
• Talk for the 5th Heidelberg Laureate Forum at Heidelberg University.
• Best coffee in Minneapolis is Spyhouse, Best coffee in Providence is Bolt.
  
• "Here lies Silverhand"