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

Status

Potential

People

Peter Vassiliou

Geometric Control Theory

Student intake

Open for Summer scholar students

Status

Potential

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

Student intake

Open for Honours, Masters, PhD students

Status

Potential

People

Bryan Wang

Geometry of gerbes & D-branes

This project would lay down some of mathematical ground for string theory.

Student intake

Open for Honours, Masters, PhD students

Status

Potential

People

Bryan Wang

Lindbladians and related master equations in quantum mechanics

Student intake

Open for students

Status

Current

People

Murray Batchelor

Mathematical Aspects of Conformal Field Theory

operator theoretic aspects of quantum field theory
computational problems in vector-valued modular forms
tensor categories and functorial conformal field theories