《千里之行，始于足下》
(The longest journey begins with a single step)
Welcome to the homepage of Thomas Quella at the University of Melbourne. I am a Mathematical Physicist working at the School of Mathematics and Statistics and currently a Distinguished Research Fellow of the ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS). My main research interests are 2D conformal field theory and topological aspects of quantum matter. My work frequently touches representation theoretic questions, especially in the context of finite and infinite dimensional Lie (super)algebras, diagram algebras and quantum groups.
I am a member of the School's research groups "Mathematical Physics and Statistical Mechanics" and "Algebra, Number Theory & Representations".
The University of Melbourne School of Mathematics and Statistics Mathematical Physics and Statistical Mechanics Algebra, Number Theory & Representations ACEMS
04/10/2016 | Nobel Prize awarded to three pioneers of topology in condensed matter physics, David J. Thouless, F. Duncan M. Haldane and J. Michael Kosterlitz. See here for the official press release. |
15/09/2016 | I am currently offering projects for the School's Vacation Scholarship Program. Please see the School's website for details of the projects and how to apply. |
02/05/2016 | Started at the University of Melbourne as a Senior Lecturer |
My research interests are centered around various aspects of Mathematical Physics. In particular, I have been working on two dimensional exactly solvable quantum field theories, their mathematical structure and their applications. Most of my group is busy with one or more of the following subjects...
I am available (and more than happy) to supervise undergraduate and graduate theses in representation theory and in fields related to more mathematical aspects of quantum condensed matter physics, quantum field theory and statistical physics. This includes, in particular, theoretical research in the fields of quantum spin liquids, fractional quantum Hall systems, topological insulators, tensor network states and conformal field theory.
If you would like to learn more about available projects please simply send me an email, including a transcript of your previous courses. Note: For some of the projects, some background knowledge in physics, especially quantum mechanics, is required.
Previous projects at the University of Cologne:
I will be offering student projects for the summer break 2018-2019. Please see the School's website for details of the projects and how to apply for the Vacation Scholarship. The Australian Mathematical Sciences Institute (AMSI) also offers Vacation Research Scholarships.
Previous projects at the University of Melbourne:
MS Vacation Scholarships AMSI Vacation Research Scholarships
2018 | Lecture | Complex Analysis (University of Melbourne) |
2018 | Lecture | Advanced Methods: Transforms (University of Melbourne) |
2017 | Lecture | Complex Analysis (University of Melbourne) |
2017 | Lecture | Calculus 2 (University of Melbourne) |
2016 | Lecture | Calculus 2 (University of Melbourne) |
2016 | Block Course | Conformal Field Theory (EPFL, Lausanne) |
2015 | Seminar | Advanced Aspects of Gauge theory (University of Cologne) |
2015 | Lecture | Conformal Field Theory (University of Cologne) |
2014 | Mini Course | Tools from Quantum Information Theory (Bonn-Cologne Graduate School of Physics and Astronomy) |
2013 | Lecture | Quantum Field Theory II (University of Cologne) |
2013 | Seminar | Spin Models (University of Cologne) |
2012 | Lecture | Conformal Field Theory (University of Cologne) |
2011 | Lecture | Quantum Field Theory I (University of Cologne) |
2010 | Lecture | Supersymmetry (University of Cologne) |
2010 | Seminar | Diagram Algebras and their Applications (University of Amsterdam) |
2009 | Mini Course | Conformal Field Theory (National Dutch Seminar) |
2009 | Lecture | Complex Analysis and Laplace Transforms (University of Amsterdam) |
2007 | Seminar | Index Theorems and Anomalies (University of Amsterdam) |
I am more than glad to supervise projects for master students and PhD students. Please simply contact me with details of your academic record and your general research interests. Please note that I currently do not have funding for PhD students or postdocs. If you are interested in applying for one of the competitive internal or external grant schemes please drop me line.
This page provides a brief summary of my academic development.
I am interested in a variety of things. One of them is (moderate) sports. You can find me swimming regularly or inline skating. When I have time during weekends I also enjoy vegetarian cooking (one of my specialties is 红烧茄子) or visiting modern art exhibitions. My attempts to master the secrets of 中文 are probably also worth mentioning.
Thomas Quella | Visiting address |
---|---|
The University of Melbourne School of Mathematics and Statistics Parkville VIC 3010 Australia |
Office 164 Peter Hall Building 813 Swanston Street Parkville VIC 3052 Australia |
Date | Speaker | Topic | Literature | Required background |
---|---|---|---|---|
02/05/2018 | Thomas | Kick-off meeting and outline (Notes) | -- | -- |
09/05/2018 | Nick | Conformal transformations (Additional Notes) | Ginsparg 1.1-1.2 | Special relativity |
23/05/2018 | Thomas | Constraints from conformal invariance | Ginsparg 1.3 | |
30/05/2018 | Tianshu | CFT in two dimensions | Ginsparg 2.1 | |
06/06/2018 | Thomas | Radial quantization and the energy momentum tensor | Ginsparg 2.2 (parts of) | Some idea of quantum field theory |
13/06/2018 | Luke | Operator product expansions | Ginsparg 2.2 (parts of) | |
20/06/2018 | Zac | Free boson | Ginsparg 2.3 | |
27/06/2018 | Anas | The central charge and the Virasoro algebra | Ginsparg 3.1 and 3.3 | |
04/07/2018 | Allan | Free fermion | Ginsparg 3.2 and parts of 6.1 | |
11/07/2018 | Zac | Hermitean conjugation and in/out states | Ginsparg 3.4 | |
18/07/2018 | Tyson | Highest weight states | Ginsparg 3.5 | |
25/07/2018 | Will | Descendant fields | Ginsparg 3.6 | |
01/08/2018 | Luke | Idea of the conformal bootstrap | Ginsparg 3.7 | |
08/08/2018 | Anas | Representations of the Virasoro algebra | Ginsparg 4.1 | |
15/08/2018 | Tyson | The Kac determinant | Ginsparg 4.2 | |
Skipped | ? | (Non-)Unitarity | Ginsparg 4.3 + Others | |
22/08/2018 | Jiyuan | Kac tables and relation to statistical mechanics | Ginsparg 4.4, 4.5 and 5.1 + Others | |
29/08/2018 | Zac | Null vectors and correlation functions | Ginsparg 5.2 | |
05/09/2018 | Tianshu | Fusion rules for minimal models | Ginsparg 5.3 | |
Skipped | tba | N=1 superconformal algebra (also N=2?) | Ginsparg 5.4 + Others | |
12/09/2018 | Nick | Twist fields and their correlators | Ginsparg 6.2 | |
tba | tba | Torus partition functions and modular invariance | Ginsparg | |
tba | tba | Affine Kac-Moody algebras and Wess-Zumino-Witten models | Ginsparg | |
tba | tba | Coset construction | Ginsparg |
Contact: Thomas.Quella@unimelb.edu.au