# 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.

## Figure 1. An illustration of the quantum toroidal algebra and its generators, highlighting the horizontal and vertical quantum affine subalgebras Uh and Uv respectively

Figure 1. An illustration of the quantum toroidal algebra and its generators, highlighting the horizontal and vertical quantum affine subalgebras Uh and Uv respectively

## Figure 2. Young wall patterns for types E6(1), E7(1) and E8(1) as constructed in my paper arXiv:2311.03905

Figure 2. Young wall patterns for types E6(1), E7(1) and E8(1) as constructed in my paper arXiv:2311.03905