Research

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, to appear in the Journal of Operator Theory 

• 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).

Invited talks :

• (Upcoming) JMM, Jan 2026

• (Upcoming) Brin , Feb 2026 

• Free Probability, Random Matrices and Finite-Dimensional Approximations workshop, CMO, Jun 3 2025

• Operator Theory Seminar, University of Iowa, Mar 11 2025

• Functional Analysis Seminar, UCSD, Mar 3 2025

• Free Entropy Theory and Random Matrices Workshop, IPAM, Feb 25 2025

• Operator Algebra Seminar, Purdue University, Feb 11 2025

• Abu Dhabi Stochastics Seminar, NYU Abu Dhabi (Online), Feb 5 2025

• Probalistic Operator Algebra Seminar, UC Berkely (Online) , Jan 27 2025

Contributed talks :

• (Upcoming) GPOTS. Puerto Rico, Oct 2025

• Korean Mathematical Society Spring Meeting, Contributed talk (Online), Properties of operators with similar both real and positive parts, Jul 2020

• Joint Mathematics Meetings, Undergrad student poster session (San Diego), Three dimensional surface reconstruction from a single portrait based on supervised learning and optimization in Sobolev norm, Jan 2018