Research In The Department.

Research Groups:

	Algebra, Number Theory & Representations
	Algebra is the study of symmetries and structures that model symmetries. Number theory is the study of the integers and number systems that have properties like the integers. These come together in Representation theory, which is the art of representing algebraic structures as matrices.

	Analysis & Set Theory
	Analysis provides the theoretical back ground of "Calculus" -- the study of functions, their limits, their integrals, and their derivatives. Set theory studies the natural questions that arise in counting the infinite and foundational questions regarding the nature of functions and the real numbers.

	Applied Mathematics
	The Applied Mathematics Group has interests across the fields of colloid science, medicine, chemical engineering and materials processing.

	Complex Systems
	Complex systems occur in many contexts such as physical, biological or social. It is the collective phenomena occurring as the number of components increase that characterise Complex Systems.

	Discrete Mathematics & Algebraic Combinatorics
	Discrete mathematics is the study of mathematical structures that are by nature discrete rather than continuous. It includes combinatorics and graph theory.

	Geometry & Topology
	Geometry and topology are the parts of mathematics that study the shapes and properties of lines, curves, surfaces, three dimensional universes, and higher dimensional space.

	Mathematical Physics & Statistical Mechanics
	Mathematical Physics is the study of the mathematics associated with models of the physical world.

	Operations Research
	Operations Research (OR) provides a scientific approach to decision making. It involves formulating mathematical models of these problems, and developing mathematical tools to obtain solutions.

	Statistics
	Statistics is the science of collecting, organising and interpreting data. Mathematical descriptions of the data collection processes and the statistical analysis are used to determine accurate statistical methods.

	Stochastic Processes
	This group studies a variety of areas, from the theory of branching processes to applications such as stochastic models of the stock market.

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