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Mathematical Sciences Research Interests at the ANU
The Mathematical Sciences Institute has exceptionally strong
academic programs in both theoretical mathematics and contemporary
applications. Students have the choice of studying mathematics and
statistics in their own right and/or applying them in disciplines such
as bioinformatics, financial mathematics, computational science,
theoretical astrophysics, and environmental science.
Advanced
Computation and Modelling: from theoretical analysis of numerical
algorithms to practical implementation of software on parallel
supercomputers; applications include data mining, optimization and
solving pde's
Convenor: Markus Hegland
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Astronomy
and Astrophysics: modelling of accretion disks, modelling of stars
and stellar atmospheres, and fluid mechanical problems.
Convenor: Dayal Wickramasinghe
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Algebra
and Topology:
algebraic geometry, algebraic K-theory and homotopy theory, as well as
the more traditional areas of finite and discrete groups, and
representations of Lie algebras
Convenor: Amnon Neeman
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Mathematical
Physics: exactly solved models in statistical mechanics, related
combinatorics,
spin ladders, chiral Potts model, theoretical morphology and
stromatolites,
algebraic geometry and quantum field theory
Convenor: Murray Batchelor
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Analysis
and
Geometry: several complex variables, Banach algebras, spectral
theory of operators, harmonic analysis on Lie groups, manifolds and
Lipschitz surfaces, microlocal analysis on manifolds with corners,
non-commutative geometry, and applications to pde's and Maxwell's
equations
Convenor: Andrew Hassell
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Statistical
Science: applied statistics, bioinformatics, statistical genetics,
biometrics, medical statistics, epidemiology, survival analysis,
bootstrap methods, curve estimation, spatial statistics, data mining
and robust statistical inference
Convenor: Sue Wilson
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Applied
and
Nonlinear Analysis: nonlinear pde's, variational problems, minimal
surfaces and affine maximal hypersurfaces, monotonicity formulae,
interior second derivative and interior curvature bounds, harmonic
maps, heat flow, and the theoretical aspects of numerical analysis
Convenor: Neil Trudinger
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Stochastic
Analysis: applied probability with interests in general properties
of a range of models as well as in particular models; applications
include mathematical finance, telecommunication systems and epidemics
Convenor: Daryl Daley
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