My research interests include 

• Random Matrix Theory, 

• Numerical Linear Algebra, 

• Classical Linear Algebra. 

I use concepts from Lie theory to study matrix factorizations and special matrix groups. I am interested in various representations of eigenvalue statistics of random matrices. Below is the list of my publications.

S. Jeong, "Pfaffian point processes and random matrix distributions." In preparation (2024).

A. Edelman, S. Jeong and R. Nissim, "On the Limit of the Tridiagonal Model for β-Dyson Brownian Motion." arXiv:2411.01633 (2024). (Link)

S. Jeong and A. Townsend, "Extending Mercer's expansion to indefinite and asymmetric kernels." arXiv:2409.16453 (2024). (Link)

A. Edelman and S. Jeong, "The conditional DPP approach to random matrix distributions." arXiv:2304.09139 (2023). (Link)

A. Edelman and S. Jeong, "Fifty three matrix factorizations: A systematic approach." SIAM Journal on Matrix Analysis and Applications (2023). (Link)

A. Edelman and S. Jeong, "On the structure of the solutions to the matrix equation G*JG= J." Linear Algebra and its Applications (2022). (Link)

A. Edelman and S. Jeong, "On the Cartan decomposition for classical random matrix ensembles." Journal of Mathematical Physics 63.6 (2022): 061705. (Link)