Sungyoon Cho
Postdoctoral Research Associate
Department of Mathematics
POSTECH
Office: Math 419
Email: sungyooncho at postech dot ac dot kr
Research interests: number theory, Shimura varieties, arithmetic intersection theory, Kudla program
Research
On the Kudla-Rapoport conjecture for unitary Shimura varieties with maximal parahoric level structure at unramified primes (with Qiao He, Zhiyu Zhang)
submitted arXiv:2312.16906
On local representation densities of hermitian forms and special cycles II
submitted (last update: 2022/07). arXiv:2208.00378
On local representation densities of hermitian forms and special cycles
International Mathematics Research Notices, Volume 2023, Issue 23, December 2023, Pages 20484–20532
Special cycles on unitary Shimura varieties with minuscule parahoric level structure
Math. Ann. 384, 1747–1813 (2022)
The basic locus of the unitary Shimura variety with minuscule parahoric level structure, and special cycles
submitted (last update: 2020/11). arXiv:1807.09997
Miscellaneous
Wolfram Mathematica code to compute representation densities of hermitian forms: Code
For example, if you want to count the number of lattices L' of rank 4 with invariants (4,3,1,1) containing a fixed lattice L of rank 4 with invariants (6,5,2,2), write Simplify[A4[4,3,1,1,6,5,2,2]]. This is based on "On local representation densities of hermitian forms and special cycles II arXiv:2208.00378".
I graduated from Northwestern University in 2019. My advisor was Yifeng Liu.