My research primarily concerns operator algebras with emphasis on C*-algebras. My specialized interests include structural properties of C*-algebras and maps between them, finite dimensional approximations of C*-algebras, families of representations of C*-algebras, lifting problems in operator spaces, and the interplay between topological groups, their unitary representations, and their associated C*-algebras. In a slightly different direction, I am interested in convolution algebras associated to groupoids and the transfer of ideas and techniques between the algebraic and analytic settings.


B. Armstrong, G. G. de Castro, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, J. Ramagge, Aidan Sims, and Benjamin Steinberg. “Reconstruction of twisted Steinberg algebras,” Int. Math. Res. Not., rnab291, 2021.

B. Armstrong, L. Orloff Clark, K. Courtney, Y-F. Lin, K. McCormick, and J. Ramagge. “Twisted Steinberg algebras,” J. Pure Appl. Algebr., 226 (2022), Issue 3. [] (arXiv:1910.13005)

K. Courtney, “Universal C*-algebras with the Local Lifting Property,” Math. Scand., 127 (2021), 361-381. [] (arXiv:2002.02365).

K. Courtney, D. Sherman. “The universal C*-algebra of a contraction,” J. Operator Theory, 84 (2020), Issue 1, 153-184. [] (arXiv:1811.04043).

K. Courtney, T. Shulman. “Elements of C*-algebras attaining their norm in a finite-dimensional representation,” Canad. J. Math. 71 (2019), Issue 1,
[] (arxiv:1707.01949).

K. Courtney, T. Shulman. “Free products with amalgamation over central C*-subalgebras,”  Proc. Amer. Math. Soc., 148 (2020), 765-776. [] (arXiv:1809.09134).