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  7. Div 01 Mathematical Sciences

Div 01 Mathematical Sciences

This division covers mathematics, statistics, and mathematical aspects of the physical sciences. This division contains six groups:

GROUP 0101 PURE MATHEMATICS

This group covers pure mathematics. This group has thirteen fields:

  • 010101 Algebra and Number Theory
  • 010102 Algebraic and Differential Geometry
  • 010103 Category Theory, K Theory, Homological Algebra
  • 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
  • 010105 Group Theory and Generalisations
  • 010106 Lie Groups, Harmonic and Fourier Analysis
  • 010107 Mathematical Logic, Set Theory, Lattices and Universal Algebra
  • 010108 Operator Algebras and Functional Analysis
  • 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
  • 010110 Partial Differential Equations
  • 010111 Real and Complex Functions (incl. Several Variables)
  • 010112 Topology
  • 010199 Pure Mathematics not elsewhere classified

GROUP 0102 APPLIED MATHEMATICS

This group covers applied mathematics. This group has eight fields:

  • 010201 Approximation Theory and Asymptotic Methods
  • 010202 Biological Mathematics
  • 010203 Calculus of Variations, Systems Theory and Control Theory
  • 010204 Dynamical Systems in Applications
  • 010205 Financial Mathematics
  • 010206 Operations Research
  • 010207 Theoretical and Applied Mechanics
  • 010299 Applied Mathematics not elsewhere classified

GROUP 0103 NUMERICAL AND COMPUTATIONAL MATHEMATICS

This group covers numerical and computational mathematics. This group has four fields:

  • 010301 Numerical Analysis
  • 010302 Numerical Solution of Differential and Integral Equations
  • 010303 Optimisation
  • 010399 Numerical and Computational Mathematics not elsewhere classified

GROUP 0104 STATISTICS

This group covers statistics. It includes the development of statistical techniques. This group has seven fields:

  • 010401 Applied Statistics
  • 010402 Biostatistics
  • 010403 Forensic Statistics
  • 010404 Probability Theory
  • 010405 Statistical Theory
  • 010406 Stochastic Analysis and Modelling
  • 010499 Statistics not elsewhere classified

GROUP 0105 MATHEMATICAL PHYSICS

This group covers the mathematical aspects of physics. This group has seven fields:

  • 010501 Algebraic Structures in Mathematical Physics
  • 010502 Integrable Systems (Classical and Quantum)
  • 010503 Mathematical Aspects of Classical Mechanics, Quantum Mechanics and Quantum Information Theory
  • 010504 Mathematical Aspects of General Relativity
  • 010505 Mathematical Aspects of Quantum and Conformal Field Theory, Quantum Gravity and String Theory
  • 010506 Statistical Mechanics, Physical Combinatorics and Mathematical Aspects of Condensed Matter
  • 010599 Mathematical Physics not elsewhere classified

GROUP 0199 OTHER MATHEMATICAL SCIENCES

This group covers any mathematical sciences not elsewhere classified. This group has one field:

  • 019999 Mathematical Sciences not elsewhere classified