Duncan Laurie
MMath
Status
Postgraduate Student
ORCID iD
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
Automorphisms of quantum toroidal algebras from an action of the extended double affine braid group
Duncan Laurie (13 Apr 2023)
https://arxiv.org/abs/2304.06773
Young wall realizations of level 1 irreducible highest weight and Fock space crystals of quantum affine algebras in type E
Duncan Laurie (7 Nov 2023)
https://arxiv.org/abs/2311.03905
Young wall models for the level 1 highest weight and Fock space crystals of U_q(E_6^(2)) and U_q(F_4^(1))
Shaolong Han, Yuanfeng Jin, Seok-Jin Kang, and Duncan Laurie (27 Feb 2024)
Prizes, awards, and scholarships
- EPSRC Studentship -- University of Oxford (2020-2024)
- EPSRC Excellence Award -- University of Oxford (2020)
- Gibbs Prize -- University of Oxford (2019)
- Rokos Funding -- Pembroke College, University of Oxford (2018)
- Rokos Scholarship -- Pembroke College, University of Oxford (2016, 2017, 2018)
Research interests
Geometric representation theory -- quantum groups, quantum affine algebras, quantum toroidal algebras, crystal bases, quiver varieties.
Supervised by Professor Kevin McGerty.
Teaching
2022-23:
- Tutor for B2.1 Introduction to Representation Theory (two sets of classes)
- Tutor for the Williams-Exeter Programme at Oxford (WEPO) in Representation Theory
2021-22:
- Tutor for B2.1 Introduction to Representation Theory
- Teaching assistant for B2.2 Commutative Algebra
- Tutor for Part A Group Theory at Somerville College
- Revision class tutor for B2.1 Introduction to Representation Theory
2020-21:
- Teaching assistant for B2.1 Introduction to Representation Theory
- Teaching assistant for C8.4 Probabilistic Combinatorics