Charles StarlingAssociate Professor, Carleton University | |
Research InterestsI research the connections between operator algebras, dynamical systems, and semigroups. The subject of operator algebras is deep and beautiful, with techniques and results applicable to many areas of mathematics.My research is mainly focused on these outside interactions---defining new and interesting operator algebras using data from semigroups or dynamical systems, and conversely using operator algebra techniques to learn more about semigroups and dynamical systems. This is done through studying étale groupoids, which I view as a unifying language for these subjects. I am also interested in generalised Stone duality between certain classes of inverse semigroups and certain classes of étale groupoids. If you are interested in graduate studies or an undergraduate research project on any of what you read about above, please contact me! Here is my CVSelected Presentations[11]
Partial isometric representations of semigroups, CMS Summer meeting, online June 2021
[10]
Aperiodic Tilings, Carleton-Ottawa joint colloquium, Carleton University, November 2019.
[9]
Simplicity of algebras associated to non-Hausdorff groupoids, BIRS workshop: Topology and Measure in Dynamics and Operator Algebras, Banff, September 2019.
[8]
Inverse Semigroups in C*-algebras, Fields Workshop on New Directions in Inverse Semigroups, University of Ottawa, June 2016.
[7]
Boundary Quotients of Semigroup C*-algebras, Fields Workshop on Quantum Groups, Operator Algebras and Applications, University of Ottawa, February 2015.
[6]
Self-Similar Graph Actions and Partial Crossed Products, Partial Actions and Representations Symposium, Gramado Brazil, May 2014.
[5]
The Dynamics of Inverse Semigroups, FloripaDynSys Workshop on Dynamics, Numeration, and Tilings, Florianopolis Brazil, November 2013.
[4]
Aperiodic Order in Dynamical Systems and Operator Algebras, Summer School 2012, UFSC Florianopolis, Brazil.
[3]
Finite Group Actions on Substitution Tilings, Canadian Operator Symposium, Victoria Canada, May 2011.
[2]
Aperiodic Substitution Tilings, University of Ottawa Grad Seminar, December 2010.
[1]
Substitution Tilings and Groupoids, Fields Workshop on Semigroups and Categories, University of Ottawa, May 2010.
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