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
