# Topological Quantum Theory - Material for the year 2019-2020

## Primary tabs

2019-2020

Course URL:

External Lecturer(s):

Steve Simon

Course Term:

Michaelmas

Course Weight:

1.00 unit(s)

### Assessment type:

- No formal assessment; homework completion requirement.

Course Overview:

16 lectures.

Areas: PT, CMT, Astro.

Please use this page to submit your homework for the Topological Quantum Theory classes via the assignments tab.

Visiting and Short Option Students Only: Please e-mail your work to your TA/Tutor by the required deadline, copying in mmathphys@maths.ox.ac.uk

Course Synopsis:

Particle statistics beyond bosons and fermions

Aharanov-Bohm and Chern-Simons theory

Topological Quantum Field Theories

Structure of TQFT: Fusion, F and R

Diagram Algebra

Qubits, Quantum Error Correction

Toric Code and Discrete Gauge Theory

Topological Quantum Computation

Quantum Hall Effects

Berry Phases

Conformal Field Theory for Pedestrians

Topological Band Structures