I am a John Nesbit Fellow in pure mathematics at the School of Mathematics and Physics, University of Queensland. I received my PhD in 2020 from the University of Sydney, under the supervision of Professor Gus Lehrer and Professor Ruibin Zhang.
Currently, I am working with Mark Gould, Artem Pulemotov, and Jorgen Rasmussen.
I am interested in representation theory of Lie (super)algebras, Lie supergroups, quantum (super)groups, hyperplane arrangements, and Milnor fibres.
I organise the Pure Maths Seminar with Ole Warnaar and Ramiro Lafuente. Please contact me if you would like to give a talk or suggest a speaker.
Email: yang.zhang at uq.edu.au
Einstein metrics on homogeneous superspaces (joint with Mark Gould, Artem Pulemotov, and Jorgen Rasmussen),
accepted by Communications in Mathematical Physics, arXiv:2411.13864.
Central elements of the degenerate quantum general linear group (joint with Hengyun Yang),
Journal of Geometry and Physics, 218 (2025), 105672.
Unitary branching rules for the general linear Lie superalgebra (joint with Mark Gould).
Journal of Physics A: Mathematical and Theoretical, 2025
Milnor fibre homology complexes (joint with Gus Lehrer),
Pure and Applied Mathematics Quarterly, Volume 20, Number 3, 1371-1431, 2024.
On the homology of the noncrossing partition lattice and the Milnor fibre,
Advances in Mathematics, 415 (2023), 108897.
The first and second fundamental theorems of invariant theory for the quantum general linear supergroup,
Journal of Pure and Applied Algebra, 224(11) (2020), 106411.
On the second fundamental theorem of invariant theory for the orthosymplectic supergroup,
Journal of Algebra,501 (2018), no. 1 May 2018, 394–434.
A quantum fermion realisation of the finite dimensional spinor representation of Uq(osp(1|2n)) (joint with Hengyun Yang),
Journal of Mathematical Physics 58, 071706 (2017) .
A classification of unitary highest weight modules of u(p,q|n), joint with Mark Gould, Artem Pulemotov, and Jorgen Rasmussen, preprint, 2025.
Yanmin Dai, Yang Zhang. Higher-order Casimir elements and hook partitions for quantum groups of types B, C and D, arXiv:2509.17327.
Yanmin Dai, and Yang Zhang. Explicit generators and relations for the centre of the quantum group, arXiv:2102.07407
Yang Zhang. Combinatorics of Milnor fibres of reflection arrangements, PhD thesis, 2020. The thesis contains some unpublished results.
Differential operators and unitary highest weight representations of U(p,q|n).