Research
What do I like?
I’ve always liked research areas that satisfy three requirements:
The arena in which to develop new theory should feel spacious.
There should be opportunities to get your hands dirty, try examples, and write a small program here and there.
The language of the area should spark my imagination and contribute to my intuition.
I’ve found that the first item is attainable by working on small new problems, or working at the intersection of several classical areas. The second is attainable by always having physicists and engineers within earshot. The third seems to be about putting out feelers and following up on feelings of delight.
What areas do I work on?
So what do I actually work on? I’ve worked on several areas so far, and am still early in my research career. My current interests weave their way between nonlocal games, quantum analogues of classical notions from graph theory and communications, and diagrammatic approaches to studying these things.
In the past, my work has touched on the algebraic tradeoffs of privacy and security, information theory, control theory, and combinatorial games.
talks
Coming up...
Diagrams for synchronous games
(Invited) New trends at the intersection of quantum information theory, quantum groups and operator algebras, Isaac Newton Institute, December 2024
Quantum arrows [Slides]
Quantum sets via SSFAs and a pinch of applications
Analysis graduate student seminar, University of Waterloo, July 2021
Algebraic objects associated to nonlocal games [Slides]
(Invited) Inverse Problems and Analysis Seminar, University of Delaware, Mar 2021
The privacy/security tradeoff across jointly designed secure sketch biometric systems [Slides]
Ottawa Mathematics Conference, June 2014
Allerton, Oct 2014
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 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.