Publications
J. Cornejo and K. McCormick, Classifying matrix-valued holomorphic cross-sections over an annulus up to complete isometric isomorphism. Accepted to New York Journal of Mathematics.B. Armstrong, J. Brown, L.O. Clark, K. Courtney, Y.-F. Lin, K. McCormick, and J. Ramagge, The local bisection hypothesis for twisted groupoid C*-algebras. Semigr. Forum. Available online Oct 2023. arXiv: 2307.13814
B. Armstrong, L. Orloff Clark, K. Courtney, Y.-F. Lin, K. McCormick, and J. Rammage, Twisted Steinberg Algebras. J. Pure Appl. Algebr. 226.3 (2022). arXiv:1910.13005
K. McCormick, Completely bounded subcontext of a Morita context of unital C*-algebras. J. Oper. Theory 87(1):229-248, 2022. . arXiv:2007.04236
B. Armstrong, G. G. de Castro, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, J. Ramagge, A. Sims, and B. Steinberg, Reconstruction of twisted Steinberg algebras. Int. Math. Res. Not. 2021. arXiv:2101.08556
K. McCormick, Matrix bundles and operator algebras over a finitely bordered Riemann surface. Complex Anal. Oper. Theory 13.3 (2019): 659-671. arXiv: 1710.06389
Preprints
Research mentees and projects
- Hector Gaxiola Williams (CSULB Master's program; Graduate Assistant) Project “Maps between operator algebras” supported by student research assistantship in Summer 2023. Student presented poster at 2023 CNSM Student Research Symposium, and gave talk at 2024 CSULB Student Research Competition (3rd place in Physical Sciences and Math). Started PhD program for Mathematics at Michigan State in Fall 2024.
- Laura Castillo, Dontay Deese, Victoria Gudiel, and Judie Rodriguez (CSULB undergraduate students) Project on subsequences of sin(n).
- Jacob Cornejo (CSULB Master's program; Graduate Assistant) - Research on classifying matrix-valued holomorphic cross-section algebras on annuli up to topological invariants. Presented poster on work at Spring 2022 MAA CA-Nev Sectional. Started PhD program for Statistics at Penn State in Fall 2022.
- Michelle Leon (CSULB undergraduate student) Presented poster on “Change of Population of Female Cheetahs in the Serengeti” at 2022 CNSM student research symposium.
- Kayla Lehtola (UMN undergraduate program) - Summer 2020 research project, "Groupoids and solving the 9-puzzle." Presented an Outstanding Poster at the JMM 2021 Undergraduate Poster Session. Starting PhD program for Materials Science at University of Minnesota in Fall 2022.
- Audrey Douglas and Sriram Nutulapati (UMN undergraduate/UMTYMP program) - Spring 2021 student project, "Twisted matrix multiplication."
- Also see my ''teaching'' page for additional student projects