I am interested in Functional analysis especially in operator theory and operator algebra.
I have been working on Free probability and von Neumann Algebra under the guidance of Dr. Nelson at MSU.
Publications:
Strong convergence to operator-valued semicirculars, with David Jekel, Brent Nelon, Jennifer Pi, preprint (2025)
On the genericity of irreducible subfactors, with Brent Nelson, preprint (2025)
On conjugate systems with respect to completely positive maps, preprint (2024)
The operator equation AXB=X and the Fuglede-Putnam type property, with Eungil Ko, Operators and Matrices. 427-440. (2024)
On solutions of operator equations satisfying the similarity of real and positive parts, with Eungil Ko, Linear and Multilinear Algebra (2020).