Mathematical physics

The Mathematics Physics research program spans the ANU College of Science, with several members having joint appointments with the Department of Theoretical Physics in RSPE. The program is active in studying fundamental problems across a broad spectrum of Mathematical Physics.

About

The Mathematics Physics research program spans the ANU College of Science, with several members having joint appointments with the Department of Theoretical Physics in RSPE. The program is active in studying fundamental problems across a broad spectrum of Mathematical Physics, such as:

String Theory
Conformal Field Theory
Integrable Models in Statistical Mechanics and Quantum Field Theory
Condensed Matter Theory

using and developing techniques from:

Algebra (including Algebraic Topology and Algebraic Geometry)
Representation Theory
Differential Geometry

Projects

Exterior Differential Systems and Hyperbolic PDE

Student intake

Open for Summer scholar students

People

Peter Vassiliou

Generalized Geometry and its Applications

Generalized geometry, whose definition was inspired in particular by duality symmetries in String Theory, was recently put into a rigorous mathematical framework by Hitchin [Hi] and his students [Ca, Gu].

Student intake

Open for Bachelor students

People

Peter Bouwknegt

Geometric Control Theory

Student intake

Open for Summer scholar students

People

Peter Vassiliou

Geometry of Gauge fields

This project is to explore various new topological invariants using topological field theory and dualities arising from gauge theory and string theory