You will develop knowledge and skills in several general areas of algebraic, geometric and enumerative combinatorics, including polytope theory, poset theory and symmetric function theory.
You will also gain high level expertise related to the specific areas of alternating sign matrices and plane partitions, including connections with integrable statistical mechanical models, fully packed loop configurations, dynamical algebraic combinatorics, lattice path techniques, and determinant and Pfaffian evaluations.
Furthermore, substantial experience in the use of a computer algebra system, such as Mathematica, would be acquired.
We are interested in pursuing this project and welcome applications if you are self-funded or have funding from other sources, including government sponsorships or your employer.
Please contact the supervisor when you want to pursue this project, citing the project title in your email, or find out more about our PhD programme in Mathematics.