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What do I work on?
What do I work on?
You can watch me speak briefly on a panel about my path to my current work, and what I work on. You can also listen to an interview I did for a more in depth discussion of my work, for a broad audience.
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Current interests
Current interests
My research interests weave their way between quantum (noncommutative) analogues of classical notions from graph theory and group theory formalized by operator theory, and their interpretations in quantum information theory, as well as connections to nonlocal games (interactive proof systems). I like to use graphical approaches to study these things, inspired by categorical quantum mechanics.
Previous work
Previous work
In the past, I have worked on the algebraic tradeoffs of privacy and security, information theory, control theory, and combinatorial games.
Invited talks
Invited talks
Bisynchronous quantum games
Noncommutative Harmonic Analysis and Quantum Information, Oberwolfach, Jan 2026
Abstracting quantum spaces [Slides]
Operator Algebras and Quantum Information, University of Waterloo, June 2025
Synchronous quantum games [Slides]
Operator theory seminar, University of Victoria, Mar 2025
Quantum graph homomorphisms are perfect strategies [Slides]
Quantum Graphs, Saarland University, Feb 2025
Synchronous quantum games [Slides][Supplementary]
New trends at the intersection of quantum information theory, quantum groups and operator algebras, Isaac Newton Institute, Dec 2024
Algebraic objects associated to nonlocal games [Slides]
Inverse Problems and Analysis Seminar, University of Delaware, Mar 2021
Contributed talks
Contributed talks
1+1 ≠ 2 [Slides]
Quantum sets, operations, graphs, and games
Theoretical Quantum Optics group seminar, University of Siegen, April 2025
Synchronous quantum games [Slides][Supplementary]
Analysis seminar, University of Waterloo, Oct 2024
Categorical strings for quantum things [Slides]
Pure math graduate student colloquium, University of Waterloo, Oct 2024
Quantum arrows [Slides]
Quantum sets via SSFAs and a pinch of applications
Analysis graduate student seminar, University of Waterloo, Jul 2021
Algebraic objects associated to nonlocal games [Slides]
The privacy/security tradeoff across jointly designed secure sketch biometric systems [Slides]
Ottawa Mathematics Conference, Jun 2014
Allerton, Oct 2014
Here I speak at the Isaac Newton Institute in Cambridge about some of my current work on quantum games, using pictures.
Some screenshots from various slide talks I've given.
Papers
Papers
Synchronous linear constraint system games
Mar 2021. Journal of Mathematical Physics. arXiv.
Joint privacy and security of multiple biometric systems (with S. C. Draper)
June 2017. Chapter in Information Theoretic Approaches to Security and Privacy of Information Systems, Ed. Rafael F. Schaefer, Holger Boche, Ashish Khisti, H. Vincent Poor. Cambridge University Press.
The privacy/security tradeoff across jointly designed linear authentication systems (with S. C. Draper)
October 2014. In proceedings of the 52nd Annual Allerton Conference on Communication, Control, and Computing. IEEE.
Theses/projects
Theses/projects
Synchronous and quantum games: Graphical and algebraic methods, 2025. PhD thesis at the University of Waterloo. [PDF]
Synchronous nonlocal games in multiple quantum models, 2019. MMath project at the University of Waterloo. [PDF]
The privacy/security tradeoff for multiple secure sketch biometric authentication systems, 2015. M.A.Sc. thesis at the University of Toronto. [PDF]
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