# 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

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Research

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.

Papers:

Jornal reference: * Advances in Mathematics 348 (2019) 541-582 *

arXiv:1604.08641, Convex Polytopes for the Central Degeneration of the Affine
Grassmannian.

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Education

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

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Teaching

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.

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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