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 of fibrations with applications to:
fibered algebraic surfaces and their moduli, enumerating algebraic curves and Abelian varieties over global 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 a postdoctoral research fellow at Center for Geometry and Physics, IBS.

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

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 >
• Motive of the moduli stack of rational curves on a weighted projective stack
  
To appear in Research in the Mathematical Sciences, Special Issue of PIMS Workshop on Arithmetic Topology
(with Hunter Spink)
< Preprint, Journal >

• ℓ-adic étale cohomology of the moduli of elliptic & hyperelliptic fibrations
  
< Preprint, Journal >

• Enumerating stable hyperelliptic curves and principally polarized Abelian surfaces over global fields
  Appendix: Arithmetic of the moduli of elliptic curves with prescribed level structure or multiple marked points
  (with Changho Han)
< Preprint, Journal >

• Arithmetic of the irreducible compact moduli of unstable elliptic surfaces
  (with Dori Bejleri, Changho Han, Johannes Schmitt)
  
< work in progress >
• Arithmetic of the moduli space of monopoles
  (with Matthew Satriano)
  
< work in progress >
• Arithmetic of the moduli of elliptic K3 fibered Calabi-Yau 3-folds
  
< 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.
• A commemoration of Vladimir Voevodsky (1966-2017) by D. Grayson.
• Talk for the 5th Heidelberg Laureate Forum at Heidelberg University.
• Best coffee in Minneapolis is Spyhouse, Best coffee in Providence is Bolt.
  
• I'm Your Huckleberry.