I'm Aiden Suter, an MPhil student in mathematical physics at the University of Queensland in Brisbane, Australia. I work under the suppervision of Jorgen Rasmussen and Masoud Kamgarpour and am currently studying the representation theory of W-algebras for use in conformal field theory.


Research

Broadly, my research interests fall under algebra and quantum field theory. More specifically, I am currently interested in the following topics:

  • Vertex algebras
    • Representation theory
    • W-algebras
    • Zhu algebras
  • Quantum field theory
    • Conformal field theory
    • Topological quantum field theory
  • Algebraic geometry
    • Complex geometry

Over the past two years my primary focus has been on vertex algebras. In particular, I've been looking at vertex algebra representation theory. I have been doing this by studying Zhu algebras which are associative algebras constructed from vertex algebras that share modules with the corresponding vertex algebra. This year as part of my masters thesis, I have been looking to construct nonsimple indecomposable modules for the W3-algebra by using Zhu algebras.

For those interested, an introduction to vertex algebras by Chrostophe Nozaradan may be found here and a more comprehensive text by Edward Frenkel and David Ben-Zvi may be found here.

Activities


  • [Upcoming] ANZAMP Meeting, University of Auckland, January 30-February 2, 2018.
  • [Upcoming] Affine, vertex and W-algebras, Istituto Nazionale di Alta Matematica, December 11-15, 2017.
  • [Upcoming] Future Directions in Representation Theory, University of Sydney, December 4-8, 2017.
  • QFT Seminar "Finite W-algebras", University of Queensland, Semester 2 2017.
    • Talk title: "Poisson BRST Cohomology".
  • Tensor Categories and Field Theory, University of Melbourne, June 6-9, 2017.
  • QFT Seminar "Quantum invariants of knots and links", University of Queensland, Semester 1 2017.
  • W-algebras, University of Melbourne, Nov 28 - Dec 2 2016.
  • QFT seminar "Vertex algebras", University of Queensland, Semester 2 2016.
  • QFT seminar "Category O", University of Queensland, Semester 1 2016.

Contact


  • Email: aiden.suter1@uqconnect.edu.au

  • Office: University of Queensland, Building 69, Room 811.