My research is primarily in operator algebras, specifically C*-algebras. Currently, my specialized interests are in the structural properties and finite dimensional representations of C*-algebras as well as questions regarding lifting maps between C*-algebras. I am also particularly interested in universal C*-algebras and full C*-algebras associated to locally compact and discrete groups.
- K. Courtney, D. Sherman. “Some notes on the universal C*-algebra of a contraction.” arXiv:1811.04043
- K. Courtney, T. Shulman. “Free products with amalgamation over central C*-subalgebras,” arXiv:1809.09134
- K. Courtney, T. Shulman. “Elements of C*-algebras attaining their norm in a finite-dimensional representation,” Canad. J. Math. 71 (2019), Issue 1,