Sungyoon Cho

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.