Duncan Laurie
About
I have just completed my PhD at the Mathematical Institute, University of Oxford, supervised by Professor Kevin McGerty and working in the Algebra research group – my thesis can be found here.
This autumn I will be starting as a Postdoctoral Research Associate at the University of Edinburgh, working with Alexander Shapiro.
Research interests
My research is in algebra and (geometric) representation theory, more specifically:
quantum toroidal algebras
quantum groups
quantum affine algebras
crystal bases
quiver varieties
and related areas...
Contact
Email: firstname [dot] lastname [at] maths [dot] ox [dot] ac [dot] uk
There is also a contact form on my Mathematical Institute profile.
Fig. 1. An illustration of the quantum toroidal algebra and its generators, highlighting the horizontal and vertical quantum affine subalgebras Uh and Uv respectively
Fig. 1. An illustration of the quantum toroidal algebra and its generators, highlighting the horizontal and vertical quantum affine subalgebras Uh and Uv respectively
Fig. 2. Young wall patterns for types E_6^(1), E_7^(1) and E_8^(1) as constructed in my paper arXiv:2311.03905
Fig. 2. Young wall patterns for types E_6^(1), E_7^(1) and E_8^(1) as constructed in my paper arXiv:2311.03905