Mathematical formulas on a blackboard


Algebra & topology

We work on problems of central interest in mathematics.

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Analysis & geometry

The Analysis & Geometry research program explores the areas of differential geometry, several complex variables, non-commutative geometry, harmonic analysis, microlocal analysis, partial differential equations, operator theory, spectral theory, convex geometry and statistical learning theory, and banach algebras.

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Applied & nonlinear analysis

Current research in the Applied & Nonlinear Analysis research program emphasises elliptic and parabolic partial differential equations, geometric and physical variational problems, geometric partial differential equations, geometric evolutions, geometric measure theory, optimal transportation, affine differential geometry, conformal differential geometry, finite element and difference equation approximations, and geometry of fractals.

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DNA molecule composition

Group expertise lies in biological mathematics and biostatistics, with current research areas focus on population genetics, phylogenetics, and spatial modelling.

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Computational mathematics

The Computational Mathematics research program actively studies theoretical aspects of computational algorithms.

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Cutaway diagram of the future ITER experiment

The Plasma Theory and Modelling group focuses on understanding these fundamental properties of plasmas through a variety of different academic perspectives.

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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.

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Stochastic analysis & risk modelling

The Stochastic Analysis & Risk Modelling research program explores the areas of stochastic modelling of financial processes, statistical inference relating to those models, stochastic integration and numerical aspects of partial differential equations, and option pricing models.

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Theoretical astrophysics

The Theorectical Astrophysics research program explores the areas of compact stars, radiation processes and transfer mechanisms in accretion flows on to highly magnetic compact stars, modelling of accretion disks, modelling of stars and magnetic atmospheres, cataclysmic variable binaries, and searching for the progenitors of type Ia supernovae.

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