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Research in Algebra. Including number theory, algebraic geometry, and combinatorics. We have large groups of researchers active in number theory and algebraic geometry, as well as many individuals who work in other areas of algebra: groups, noncommutative rings, Lie algebras and Lie super-algebras, representation theory, combinatorics, game theory, and coding. A number of members of the.
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MATHS RESEARCH APERP A.N. AUTHOR Abstract. Some deep results are proved here. 1. Introduction In this paper we prove some important theorems. 2. Gauss's work In (1) Gauss proved the following very important result. Theorem 2.1. (1) Some very profound esult.r 3. Results of Hilbert In (2) Hilbert considered these questions from a more abstract point of view. He proved the following result.
Research in Algebra. Non-commutative noetherian rings and representation theory Introductions. Happily, noetherian rings and their modules occur in many different areas of mathematics. A hundred years ago Hilbert, in the commutative setting, used properties of noetherian rings to settle a long-standing problem of invariant theory. Later, it was realised that commutative noetherian rings are.
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Supervisors: Christian Korff Relevant research groups: Algebra, Integrable Systems and Mathematical Physics. Quantum spin-chains and 2-dimensional statistical lattice models, such as the Heisenberg spin-chain and the six and eight-vertex models remain an active area of research with many surprising connections to other areas of mathematics. Some of the algebra underlying these models deals.
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Research focuses on the fundamental analysis of nonlinear PDE, and numerical algorithms for their solution. Current areas of interest include the calculus of variations, nonlinear hyperbolic systems, inverse problems, homogenization, infinite-dimensional dynamical systems, geometric analysis and PDE arising in solid and fluid mechanics, materials science, liquid crystals, biology and relativity.
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