Papers

Preprints

• Adam Humeniuk, C.R., and Ian Thompson, Couniversality for C*-algebras of residually finite-dimensional operator algebras, submitted (2025). (arXiv:2507.11824)

• Aisling Pouti, C.R., and Nicolae Strungaru, Generating functions of substitutions, submitted (2023). (arXiv:2309.16100)

Publications

• Michael Coons, C.R., and Nicolae Strungaru, Relative position in binary substitutions, Journal of Integer Sequences 28 (2025), article 25.1.5. (arXiv:2410.12173)

• Adam Humeniuk, C.R., and Nicolae Strungaru, Diffraction of the primes and other sets of zero density, Journal of the Australian Mathematical Society (2025). (arXiv:2406.13687)

• Adam Humeniuk, Elias Katsoulis, and C.R., Crossed product and C*-covers of semi-Dirichlet operator algebras, Documenta Mathematica 30 (2025), 909-933. (arXiv:2309.16130)

• Adam Humeniuk and C.R., The lattice of C*-covers of an operator algebra, Canadian Journal of Mathematics (2025), pp. 1-29. (arXiv:2304.02783)

• Niel de Beaudrap and C.R., On numerical diameters and linear maps, New York Journal of Mathematics 30 (2024), 1264–1292. (arXiv:2402.06791)

• Molly Evans, Dylan Gawlak, C.R., Nicolae Strungaru, and Ryan Trang, Colourings of aperiodic tilings, Contributions to Discrete Mathematics (2024), accepted. (arXiv:2209.06364)

• Dylan Gawlak and C.R., Symbolic Substitutions, Bratteli Diagrams and Operator Algebras, Rocky Mountain Journal of Mathematics 53 (2023), 755-773. (arXiv:2110.13256)

• Elias Katsoulis and C.R., The isomorphism problem for tensor algebras of multivariable dynamical systems, Forum of Mathematics, Sigma 10 (2022), 1-12. (arXiv:2101.07834)

• C.R. and Adam Reeves, Lp spaces of operator-valued functions, Integral Equations and Operator Theory 93 (2021), 1-17. (arXiv:2008.08569)

• Sarah Plosker and C.R., Bistochastic operators and quantum random variables, New York Journal of Mathematics 28 (2022), 580-609. (arXiv:2005.00005)

• Elias Katsoulis and C.R., The hyperrigidity of tensor algebras of C*-correspondences, Journal of Mathematical Analysis and Applications 483 (2020), 123611, 10 pp.  (arXiv:1905.10332)

• Elias Katsoulis and C.R., The non-selfadjoint approach to the Hao-Ng isomorphism, International Mathematics Research Notices (IMRN) (2021), 1160-1197. (arXiv:1807.11425)

• Raphaël Clouâtre and C.R., Residually finite-dimensional operator algebras, Journal of Functional Analysis 277 (2019), 2572-2616. (arXiv:1806.00038)

• Sarah Plosker and C.R., An operator-valued Lyapunov theorem, Journal of Mathematical Analysis and Applications 469 (2019), 117-125. (arXiv:1801.03109)

• Darian McLaren, Sarah Plosker and C.R., On operator valued measures, Houston Journal of Mathematics 46 (2020), 201-226. (arXiv:1801.00331)

• Elias Katsoulis and C.R., Crossed products of operator algebras: applications of Takai duality, Journal of Functional Analysis 275 (2018), 1173-1207. (arXiv:1705.08729)

• C.R.,  Faithfulness of bi-free product states, Proceedings of the American Mathematical Society 146 (2018), 5279-5288. (arXiv:1703.05801)

• Raphaël Clouâtre and C.R., A completely bounded non-commutative Choquet boundary for operator spaces, International Mathematics Research Notices (IMRN) (2019), 6819-6886. (arXiv:1703.02924)

• Elias Katsoulis and C.R., Limit algebras and integer-valued cocycles, revisited, Journal of the London Mathematical Society 94 (2016), 839-858. (arXiv:1601.03423)

• Scott Atkinson and C.R., Unitary dilation of freely independent contractions, Proceedings of the American Mathematical Society 145 (2017), 1729-1737. (arXiv:1601.00613)

• C.R., Automorphisms of free products and their application to multivariable dynamics, Indiana University Mathematics Journal 65 (2016), 899-924. (arXiv:1409.5109)

• C.R., Automorphisms and dilation theory of triangular UHF algebras, Integral Equations and Operator Theory 77 (2013), 89-105. (arXiv:1301.0370)

• Ken Davidson, C.R., and Orr Shalit, Operator algebras for analytic varieties, Transactions of the American Mathematical Society 367 (2015), 1121-1150. (arXiv:1201.4072)

• Ken Davidson, C.R., and Orr Shalit, The isomorphism problem for some universal operator algebras, Advances in Mathematics 228 (2011), 167-218. (arXiv:1010.0729)

• Doug Farenick and C.R., Unitary groups of nondegenerate Hermitian forms and the homotopy groups of pseudospheres, Journal of Pure and Applied Algebra 212 (2008), 2358-2367.