I am a Lecturer at the School of Mathematics and Physics, University of Queensland. Prior to this, I was a John Nesbit Fellow in pure mathematics (2023-2026) at the University of Queensland and a postdoctoral researcher (2020-2022) at the University of Sydney. 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), 49 pp.
accepted by Communications in Mathematical Physics, arXiv.
Central elements of the degenerate quantum general linear group (joint with Hengyun Yang), 19 pp.
Journal of Geometry and Physics, arXiv, 2025.
Unitary branching rules for the general linear Lie superalgebra (joint with Mark Gould), 17 pp.
Journal of Physics A: Mathematical and Theoretical, arXiv, 2025.
Milnor fibre homology complexes (joint with Gus Lehrer), 60 pp.
Pure and Applied Mathematics Quarterly, arXiv, 2024.
On the homology of the noncrossing partition lattice and the Milnor fibre, 45 pp.
Advances in Mathematics, arXiv, 2023
The first and second fundamental theorems of invariant theory for the quantum general linear supergroup, 50 pp.
Journal of Pure and Applied Algebra, arXiv, 2020
On the second fundamental theorem of invariant theory for the orthosymplectic supergroup, 40 pp.
Journal of Algebra, arXiv, 2018
A quantum fermion realisation of the finite dimensional spinor representation of Uq(osp(1|2n)) (joint with Hengyun Yang), 14 pp.
Journal of Mathematical Physics, arXiv, 2017
A classification of unitary highest weight modules of u(p,q|n), joint with Mark Gould, Artem Pulemotov, and Jorgen Rasmussen, preprint, 2025.
Higher-order Casimir elements and hook partitions for quantum groups of types B, C and D (with Yanmin Dai), arXiv, 2025.
Explicit generators and relations for the centre of the quantum group (with Yanmin Dai), arXiv, 2021.
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 The thesis contains some unpublished results.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).