Charles Starling

PhD (Ottawa), Postdoctoral Researcher, University of Ottawa

About me

I'm a mathematician! I completed my PhD under the supervision of Thierry Giordano at the University of Ottawa in 2012, and am now a postdoc under the supervision of Vladimir Pestov and Thierry Giordano. I was previously a postdoc at the Universidade Federal de Santa Catarina in Florianópolis, Brazil.

Research Interests

My research is the study of C*-algebras and dynamical systems. An example which has motivated and informed almost all of my research is that of aperiodic tilings with long-range order. Tilings and their C*-algebras have connections with symbolic dynamics, Bratteli diagrams, Cantor minimal systems, étale groupoids, inverse semigroups and many other areas. Perhaps the most famous example of an aperiodic tiling is the Penrose tiling which was discovered by Roger Penrose in the 70's. The background image of this page is a patch of a tiling obtained by splitting Penrose tiles into so-called Robinson Triangles. Take a look!

I taught a mini-course on the relationship between aperiodic tilings, dynamical systems, and operator algebras during the 2012 Summer School at UFSC. If you are interested in an introduction to the subject, the notes may be of some interest.

Here is my CV

University of Ottawa Analysis Seminar

The analysis seminar is held every Friday in FSS 7003 from 1:10pm-2:10pm. If you would like to give a talk, please send me an email.

Here is the schedule


Giordano, T., Gonçalves, D., and Starling, C. Bratteli-Vershik models for partial actions of ℤ 2016. Preprint.

Bice, T. and Starling, C. Locally Compact Stone Duality, 2016. Preprint.

Gonçalves, D., Sobottka, M. and Starling, C. Inverse semigroup shifts over countable alphabets, 2015. Preprint.

Gonçalves, D., Sobottka, M. and Starling, C. Two-sided shift spaces over infinite alphabets, to appear in J. Aust. Math. Soc., 2016.

Gonçalves, D., Sobottka, M. and Starling, C. Sliding block codes between shift spaces over infinite alphabets, to appear in Math. Nachr., 2016.

Starling, C. C*-algebras of Boolean inverse monoids - traces and invariant means, Documenta Math., 21, 809-840, 2016.

Starling, C. Inverse semigroups associated to subshifts, J. Algebra, 463 211-233, 2016.

Exel, R. and Starling, C. Self-Similar Graph C*-Algebras and Partial Crossed Products, J. Operator Theory, 75 (2), 299-317, 2016.

Exel, R. and Starling, C. Amenable actions of inverse semigroups, Ergodic Theory Dyn. Syst. doi:10.1017/etds.2015.60, 2015.

Starling, C. Boundary quotients of C*-algebras of right LCM semigroups, J. Funct. Anal., 268 (11), 3326 - 3356, 2015.

Starling, C. K-theory of crossed products of tiling C*-algebras by rotation groups, Commun. Math. Phys., 344 (1), 301 - 311, 2015.

Gonçalves, D. and Starling, C. Division Point Measures from Primitive Substitutions, Expositiones Mathematicae, 33 (1), 67 - 77, 2015.

Starling, C. Finite symmetry group actions on substitution tiling C*-algebras, Münster J. Math., 7 (2), 381-412.

Exel, R., Gonçalves, D., and Starling, C. The tiling C*-algebra viewed as a tight inverse semigroup algebra, Semigroup Forum, 84 (2), 229 - 240, 2012.

Starling, C. Actions of Finite Groups on Substitution Tilings and Their Associated C*-algebras, PhD thesis, University of Ottawa 2012.
Starling, C. Computation of the Ruelle-Sullivan Map for Substitution Tilings, Masters thesis, University of Victoria 2005.

Selected Presentations