Staff Profile

I am currently a Lecturer in Pure Mathematics. Before coming to Newcastle, I was a Marie Curie Fellow for two years at the University of Glasgow, and before that, I was an NSERC Banting Fellow with Queen Mary, University of London. I completed my PhD in April 2020 at the University of Victoria, in BC, Canada.

I am very interested in supervising students. Please to contact me if you are interested in postgraduate research (especially a PhD) or a postdoc. I especially welcome interested students from under-represented groups in mathematics to reach out!

I work in operator algebras. My research lies at the intersection of operator algebras, algebraic number theory, and group theory with connections to topological dynamics.

(2024/25) MAS3707: Number Theory and Cryptography, Newcastle University

(Autumn 2024) MAS3091: Group Project, Newcastle University

See Canvas for more details.

• Articles

  • Bruce C, Takeishi T. On the C*-algebra associated with the full adele ring of a number field. Journal of Noncommutative Geometry 2024. In Press.
  • Brix KA, Bruce C, Dor-On A. Normal coactions extend to the C*-envelope. 2024. Submitted.
  • Brix KA, Bruce C, Li K, Scarparo E. Maximal ideals of reduced group C*-algebras and Thompson's groups. 2024. Submitted.
  • Bruce C, Kubota Y, Takeishi T. Groupoid homology and K-theory for algebraic actions from number theory. 2024. Submitted.
  • Bruce C, Starling C. Corrigendum to "A New Uniqueness Theorem for the Tight C*-algebra of an Inverse Semigroup'' [C. R. Math. Acad. Sci. Soc. R. Can. 44 (2022), no. 4, 88-112]. Mathematical Reports - Comptes rendus mathématiques 2024, 46, 11–15.
  • Bruce C, Takeishi T. Constructing number field isomorphisms from *-isomorphisms of certain crossed product C*-algebras. Communications in Mathematical Physics 2024, 405, 20.
  • Bruce C, Takeishi T. C*-dynamical invariants and Toeplitz algebras of graphs. Journal of Operator Theory 2024. In Press.
  • Bruce C, Li X. Algebraic actions I. C*-algebras and groupoids. Journal of Functional Analysis 2024, 286(4), 110263.
  • Bruce C, Scarparo E. A tracial characterization of Furstenberg’s ×p,×q conjecture. Canadian Mathematical Bulletin 2024, 67(1), 244-256.
  • Bruce C, Li X. On K-theoretic invariants of semigroup C*-algebras from actions of congruence monoids. American Journal of Mathematics 2023, 145(1), 251–285.
  • Bruce C, Li X. Algebraic actions II. Groupoid rigidity. 2023. Submitted.
  • Bruce C. Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers. International Mathematics Research Notices 2021, 2021, 3653–3697.
  • Bruce C, Laca M, Takeishi T. Partition Functions as C*-Dynamical Invariants and Actions of Congruence Monoids. Communications in Mathematical Physics 2020, 382, 1165–1203.
  • Bruce C. C*-algebras from actions of congruence monoids on rings of algebraic integers. Transactions of the American Mathematical Society 2020, 373, 699–726.
  • Bruce C, Laca M, Ramagge J, Sims A. Equilibrium states and growth of quasi-lattice ordered monoids. Proceedings of the American Mathematical Society 2019, 147, 2389–2404.