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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
I am not teaching for this year.
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
Research in the Mathematical Sciences, Special Issue of PIMS 2019 Workshop on Arithmetic Topology, Vol. 8, No. 1, (2021) (with Hunter Spink)
< Preprint, Journal >
- ℓ-adic étale cohomology of the moduli of elliptic and 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
Last updated: January 4th 2021
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