Assistant Professor Peter Burton

Education

• Ph.D., mathematics: California Institute of Technology, 2017
• M.Sc., mathematics: University of Toronto, 2012
• B.Sc., mathematics: University of Toronto, 2011

 

About Dr. Burton

I am a theoretical mathematician working primarily in ergodic theory, quantum information theory and harmonic analysis on groups. For me, these fields synthesize around the concept
of numerical functions on noncommutative structures. I also have a very general interest in computational technology and methods of efficient information processing.

 

Representative Publications

• Burton, P., Juschenko, K. - The extension problem in free harmonic analysis
Ann. Funct. Analys. 13, 43 (2022)
https://doi.org/10.1007/s43034-022-00189-2

• Burton, P. - Statistical constructions in quantum information theory
Quantum Stud.: Math. Found. 9, 265285 (2022)
https://doi.org/10.1007/s40509-022-00269-x

• Bowen, L., Burton, P. - Flexible stability and nonsoficity
Trans. Amer. Math. Soc. 373, 4469-448 (2020)
https://doi.org/10.1090/tran/8047

• Bowen, L., Burton, P. - Failure of the L1 pointwise ergodic theorem for PSL(2, R)
Geom. Dedicata. 207, 6180 (2020)
https://doi.org/10.1007/s10711-019-00487-5

• Burton, P., Kechris, A. - Weak containment of measure-preserving group actions
Ergod. Th. and Dynam. Sys. 40, 26812733 (2020)
https://doi.org/10.1017/etds.2019.26