Prof Jan DE GIER
Professor
School of Mathematics and Statistics
- Phone +61 3 834 49709
- Email jdgier@unimelb.edu.au
- Website Visit website
- Room: 194
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- Combinatorics
- Integrable models
- Mathematical Physics
- Stochastic Processes
Research Groups
Publications, Grants and Awards
You can find all publications, grants and awards on their Find an Expert page.
Extra Information
I am interested in solvable lattice models, an area of maths which offers exciting research possibilities in pure as well as applied mathematics. The study of solvable lattice models uses a variety of techniques, ranging from algebraic concepts such as Hecke algebras and quantum groups to analytic methods such as complex analysis and elliptic curves. Due to this wide variety of methods, the study of solvable lattice models often produces unexpected links between different areas of research. Currently I am studying such connections between enumerative combinatorics & statistical mechanics on the one hand, and symmetric polynomials, algebraic geometry & representation theory on the other. Aside from the pure maths aspects of solvable lattice models, they provide useful frameworks for modeling real world phenomena. Examples of solvable lattice models that are widely used in applications are quantum spin chains and ladders as models for metals and superconductivity, random tilings as models for quasicrystals and exclusion processes as models for traffic and fluid flow.
Current Postgraduate Supervision
| Name | Thesis title |
|---|---|
| William MEAD | |
| Cengiz GAZI | |
| Artem STOIAN | |
| Yuyang ZHOU | |
| Paul KERR | |
| Albert DEMSKOY |
Past Postgraduate Supervision
| Name | Thesis title |
|---|---|
| Anthony MAYS | "Eigenvalue distributions in the complex plane" |
| Anita PONSAING | "Combinatorial aspects of the quantum Knizhnik - Zamolodchikov equation" |
| Caley FINN | "The Asymmetric Exclusion Process with Open Boundaries" |
| Maria TSARENKO | "Integrable Random Tiling Models" |
| Alexander LEE | "Loop models on random geometries" |
| John FOXCROFT | "Combinatorial Enumeration and the Bethe Ansatz" |
| Alessandra VITTORINI ORGEAS | "Yang-Baxter Integrable Dimers and Fused Restricted-Solid-On-Solid Lattics Models" |
| Zeying CHEN | "Exact solutions in multi-species exclusion processes" |
Current MSc Students
| Name | Project title |
|---|---|
| Ainsley NICOLL | |
| Aidan PETROWSKI | |
| Luca TAYLOR-MORICE | |
| Maxine PETSCHACK |
Past Honours & MSc Students
| Name | Project title |
|---|---|
| Chunhua CHEN | "Schramm-Loewner Evolutions" |
| Maria TSARENKO | "Discretely Holomorphic Observables and Integrable Loop Models" |
| Kayed AL QASEMI | "The Inhomogeneous Asymmetric Simple Exclusion Process" |
| John FOXCROFT | "A Comparative Study of Traffic Models" |
| Noon SILK | "Minimal resource topological quantum computation" |
| Scott MASON | "Quantum Random Walks" |
| William MEAD | "The two-species totally asymmetric simple exclusion process" |
Responsibilities
- AMSI representative
- MATRIX Director
Committees
- Awards & Nominations Committee
- Career Development Committee