Qiao Zhou (Elaine)

I am a Mathematical Physics postdoctoral researcher at Perimeter Institute for Theoretical Physics.

email: first letter of first name last name at perimeterinstitute dot ca


In broad terms, I study the mathematics of symmetries, especially the symmetries underlying quantum physics.
My research areas are geometric and combinatorial representation theory, as well as mathematical physics.
These days I am also interested in the interplay between representation theory and other disciplines, including quantum information/quantum computing, quantum field theory, and data analysis.

Jornal reference: Advances in Mathematics 348 (2019) 541-582
arXiv:1604.08641, Convex Polytopes for the Central Degeneration of the Affine Grassmannian.


Mathematics Ph.D. 2017, University of California Berkeley, Berkeley, CA, USA
Thesis title: Applications of toric geometry to geometric representation theory
Thesis advisor: Professor David Nadler, University of California Berkeley

Honours Bachelor of Science, Mathematics Specialist, University of Toronto, Toronto, ON, Canada

High School (Cambridge-Singapore GCE A-Level), Raffles Institution, Singapore


From Aug 2012 to May 2017, I taught various undergraduate mathematics classes at University of California Berkeley, and mentored a wide range of students, from science and engineering students, to students in business and public policies.

Expository Notes

Notes on Geometric and Topological Methods in Data Analysis, with Casey Jao
Summary of Quantum Algorithms for Topological Data Analysis
Notes on Convex Polytopes and Quantum Entanglement