I am currently a post-doc at the University of Glasgow, under the supervision of Xin Li. My email address is sejin.kim[at]glasgow.ac.uk

My main research interest lies in applying the theory of operator systems to any branch of mathematics. My previous papers look at connections of operator systems to dynamical systems, convex analysis, quantum information theory, and graph theory. I am also interested in applications of set theory and continuous model theory to operator systems and C*-algebras.

Preprints and Papers

  1. The ideal intersection property for essential groupoid C*-algebras (co-authored with Matthew Kennedy, Xin Li, Sven Raum, and Dan Ursu): available at https://arxiv.org/abs/2107.03980

  2. Nonunital operator systems and noncommutative convexity (co-authored with Matt Kennedy and Nick Manor): available at https://arxiv.org/abs/2101.02622

  3. Hyperrigidity of C*-correspondences: (to appear in Integral Equations and Operator Theory) available at https://arxiv.org/abs/1905.10473

  4. Crossed products of operator systems (co-authored with Sam Harris): J. Funct. Anal. (also available at https://arxiv.org/abs/1803.10759)

  5. A synchronous game for binary constraint systems (co-authored with Chris Schafhauser and Vern Paulsen): J. Math. Phys. (also available at https://arxiv.org/abs/1707.01016)

  6. Chromatic numbers, Sabidussi's Theorem and Hedetniemi's conjecture for non-commutative graphs (co-authored with Arthur Mehta): Linear Algebra Appl. (also available at https://arxiv.org/abs/1709.05595)

Ph.D. Thesis

Applications of Operator Systems in Dynamics, Correlation Sets, and Quantum Graphs: https://uwspace.uwaterloo.ca/handle/10012/16073