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The University of Kent, Canterbury, Kent, CT2 7NZ, T +44 (0)1227 764000
Mathematics Members
Academic Staff |
Research Interests |
Professor Peter Clarkson |
Symmetry reductions and exact solutions of nonlinear partial differential equations. Reductions of the self-dual Yang-Mills equations. Soliton theory and discrete and continuous Painleve equations. |
Dr Clare Dunning |
Exactly solvable models. Integrable quantum field theory. Spectral theory of ordinary differential equations. |
Professor Peter Fleischmann |
Representation theory and structure theory of finite groups, constructive invariant theory, applied algebra and discrete mathematics. |
Tania Goncalves |
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Professor Andrew Hone |
Coherent structures in nonlinear differential equations, particularly solitons in integrable systems. Painleve transcendents. Solvable models of mathematical physics and biology. |
Dr Steffen Krusch |
Topological solitons in mathematical physics, in particular the classical and quantum behaviour of Skyrmions. |
Dr Stéphane Launois |
Noncommutative algebra and noncommutative geometry; in particular, quantum algebras and their links with their (semi-) classical counterparts:
enveloping algebras and Poisson algebras. Combinatorics, homological algebra. |
Dr Bas Lemmens |
Analysis, metric geometry, and combinatorics. Applications in optimal control, game theory, and computer science. |
Professor Elizabeth Mansfield |
Symbolic analysis for nonlinear differential and difference equations. Moving frames. Geometric integration and discrete variational methods. |
Dr John Merriman |
Algebraic number theory and arithmetic algebraic geometry, particularly relating to curves of genus 2 and 2-dimensional Abelian varieties. Use of symbolic computation for related experimental work. |
Dr Rowena Paget |
Representation theory of groups and algebras, especially symmetric groups, Brauer algebras and other diagram algebras. Homological algebra. Algebraic combinatorics. |
Dr Markus Rosenkranz |
Symbolic methods for (linear) boundary problems; computer algebra; differential algebra; D-module theory. |
Dr R. James Shank |
Invariant theory of finite groups and related aspects of commutative algebra, algebraic topology and representation theory. |
Dr Jing Ping Wang |
Geometric and algebraic properties of nonlinear differential equations. Test and classification of integrable systems. Asymptotic normal forms of partial differential equations. |
Dr Ian Wood |
Analysis of PDEs and spectral theory, in particular study of spectral properties of non-selfadjoint operators via boundary triples and M-functions (generalised Dirichlet-to-Neumann maps), regularity to solutions of PDEs in Lipschitz domains and waveguides in periodic structures. |
Dr Chris Woodcock |
Commutative algebra, algebraic geometry and algebraic number theory; p-adic analogues of classical functions and their applications in number theory. |
Jun Zhao |
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Research Associates |
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Matthew Towler |
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Postgraduate Students |
Supervisor |
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Emeritus Professors |
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Professor J.S. Roy Chisholm |
Clifford algebras. |
Professor Alan Common |
Solution of nonlinear differential equations. Integrable lattices and related continued fractions with applications to solitons in transmission lines. Special functions in Clifford analysis. |
Professor John Shackell |
Asymptotics. Nonlinear ordinary differential equations. Algorithms for determining orders of growth. Symbolic computation. |
Recent Alumni |
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Edward Clark (joint with York), Jonathan Elmer, Ashley Hobson, Antoine Mériaux (joint with Université de Reims Champagne-Ardenne), Amit Sen, Bryn Thomas, Andrew Wheeler. |
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