Topological Quantum Theory - Material for the year 2020-2021

We have updated our Undergraduate exams guidance in preparation for the Trinity Term examinations.

Please see our new webpages dedicated to TT exams.

2020-2021
External Lecturer(s): 
Steve Simon
Course Term: 
Michaelmas
Course Weight: 
1.00 unit(s)

Assessment type:

Course Overview: 

16 lectures.
Areas: PT, CMT, Astro

Link to submit your homework:
Fatimah Ahmadi's class: https://cloud.maths.ox.ac.uk/index.php/s/oP54Ai6xcYHYRcj
Greg Henderson's class: https://cloud.maths.ox.ac.uk/index.php/s/jSCS5Q5kRpQsKNG

Homework deadlines:
Sheet 1: Week 4, Friday at 11 pm (6th November)
Sheet 2: Week 6, Friday at 11 pm (20th November)
Sheet 3: Week 8, Friday at 11 pm (4th December)
Sheet 4: Week 0, Hilary, Friday at 11 pm (15th January)

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

Reading List: