Topological Quantum Theory - Material for the year 2019-2020

2019-2020
External Lecturer(s): 
Steve Simon
Course Term: 
Michaelmas
Course Weight: 
1.00 unit(s)

Assessment type:

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