People in Pure Mathematics at Queen Mary, University of London
This page gives sketches of our research interests, links to our personal web pages, our author profiles in MathSciNet and our entries in the Mathematics Genealogy Project. Many of us keep details of our teaching and research on our personal web pages. Not everyone listed here is primarily a pure mathematician, so the research interests and lists of publications on MathSciNet may not be complete.
The MathSciNet author profiles give access to
- up-to-date lists and reviews of our publications,
- our citation counts since 2000 with lists of most cited papers,
- our co-authors and collaboration data.
(Note that a MathSciNet subscription is necessary to access these pages.)
From the Mathematics Genealogy Project you can find our mathematical ancestors and descendants.
Konstantin Ardakov works in non-commutative algebra and representation theory. He uses ideas from algebraic geometry and the theory of D-modules to better understand the structure of various classes of algebras of number-theoretic origin such as non-commutative Iwasawa algebras.
R. A. Bailey
R. A. Bailey's interests are in design of experiments. This research is motivated by problems arising in experiments in a number of scientific areas, such as: if we are experimenting on sprays to deter aphids, does it matter what spray is on the neighbouring plot? In turn, this spills over into pure combinatorics, such as Latin squares and association schemes.
Oscar Bandtlow has interests in functional analysis and the spectral theory of operators, in addition to his work in applied mathematics. A particular concern is to develop methods from operator theory to study the probabilistic behaviour of chaotic systems.
John Bray researches finite groups and the objects on which they act, and is interested in explicit representations and presentations of groups. He also works in computational group theory. At present he classifying the maximal subgroups of the finite classical groups and their automorphism groups.
Shaun Bullett studies the dynamics of complex maps, Kleinian groups and holomorphic correspondences. This is an area of mathematics in which there is a rich interplay between complex analysis, hyperbolic geometry, topology and symbolic dynamics. It has grown rapidly in the last twenty years with the advent of microcomputers, bringing stunning illustrations of fractal limit sets, but the pure mathematics involved has its origins in the great mathematical advances of earlier centuries.
Peter Cameron's interests include permutation groups, and the (finite or infinite) structures on which they can act (which may be designs, graphs, codes, geometries, etc.). Those countably infinite structures with the most symmetry are the ones which can be specified by first-order logical axioms; this is a general framework which includes many counting problems for types of finite structures.
Ian Chiswell works in geometric group theory, where his main interest is in generalised trees and actions of groups on them. This is an area having important connections with logic and low-dimensional topology. The theory of R-trees in particular has expanded enormously in the last 15 years. Other interests include equations over groups, ordered groups and, less recently, cohomology of groups.
Cho-Ho Chu's interests in analysis include Jordan theory and infinite dimensional manifolds, analysis on homogeneous spaces, operator algebras and functional analysis.
David Ellis works in combinatorics and discrete analysis. He is particularly interested in connections between combinatorics and other areas of mathematics, such as algebra, analysis and probability theory. Much of his work to date has involved the application of techniques from discrete Fourier analysis and representation theory to solve problems in extremal combinatorics. Within extremal combinatorics, he is interested in Erdős–Ko–Rado type problems, isoperimetric inequalities and Turán-type problems, amongst others. He is also particularly interested in the combinatorics of finite groups, especially non-Abelian groups.
Matthew Fayers is an algebraist who works mostly with representations of finite-dimensional algebras, especially group algebras of symmetric groups (and other Coxeter groups) and the related Hecke algebras and Schur algebras. He is particularly interested in calculating decomposition matrices and module structures, and specialises in exploiting combinatorics (of partitions, Young diagrams and the abacus) rather than technical algebraic machinery.
Anthony Hilton's interests lie in Graph Theory and Design Theory. In graph theory he works on edge and total colourings and on decompositions of graphs. In design theory he works on embedding partial designs into complete designs, particularly simple designs such as latin squares and Steiner triple systems. He explores the grey area where graph and design theory interact, and introduced the new area of amalgamation and disentanglement of designs. He has also worked on extremal set theory and on continuous maps between graphs as 1-dimensional complexes.
Wilfrid Hodges works in model theory (logic), where his main interests are automorphism groups, definability and the cohomological links between these two. He also works on mathematical semantics of natural and formal languages, and in particular on situations where the grammar and the meaning of phrases don't match up.
Bill Jackson's interests are in combinatorics, particularly graph theory, matroid theory, combinatorial geometry and combinatorial algorithms. He is currently working on problems concerning the rigidity of frameworks and graph polynomials.
Oliver Jenkinson has diverse interests in ergodic theory and functional analysis, in addition to his work in applied mathematics.
Mark Jerrum is interested in combinatorics, computational complexity and stochastic processes. All of these ingredients come together in the study of randomised algorithms: computational procedures that exploit the surprising power of making random choices. A strong theme in this work is the analysis of the mixing time of combinatorially or geometrically defined Markov chains.
J. Robert Johnson
Robert Johnson's research is in combinatorics and graph theory. He is particularly interested in extremal combinatorics, and problems at the interface of graphs and set systems.
Peter Keevash's research is in extremal combinatorics, an elegant branch of pure mathematics with many practical applications. His interests include graph theory, hypergraphs / set systems, algebraic and probabilistic methods in combinatorics, random structures, combinatorial optimisation and combinatorial number theory.
Charles Leedham-Green is the driving force behind the "matrix group recognition project", which aims to determine a group from a set of matrices generating it. It has long been known that this computational problem is much more difficult than the analogous question for permutation groups. His other interests lie in the field of p-groups and pro-p-groups.
Angus Macintyre's main research interest is mathematical logic which has involved research in group theory, algebraic geometry, number theory and neural methods.
Shahn Majid is interested in algebraic structures on the interface between pure mathematics and mathematical physics including quantum gravity. Particularly: noncommutative differential geometry; quantum groups or Hopf algebras; applications in representation theory, knot theory, discrete systems such as a Lie theory for finite groups, and the octonions.
Susan McKay is a group theorist primarily interested in p-groups. She has worked on p-groups of finite coclass, and its generalizations, that have seen spectacular successes in recent years. She is responsible for extensive investigations of such remarkable groups as the Grigorchuk and Nottingham groups.
Thomas Müller studies the function giving the number of subgroups of given index in a finitely generated group. He is concerned both with the growth rate of this function, and with divisibility and arithmetic properties. This work involves algebra, combinatorics, and analysis, and has implications for subjects such as Quillen complexes.
Behrang Noohi is interested in higher categorical/derived structures in algebra and geometry. More specifically: algebraic/differentiable/topological stacks, moduli problems, higher dimensional groups and higher Lie theory, and string topology.
Donald Preece's research is into classes of combinatorial designs that include Latin squares and balanced incomplete-block designs, non-orthogonal Graeco-Latin designs, neighbour designs and tight single-change covering designs. These designs have had applications in the methodology of statistics, many of them as designs for comparative experiments in quantitative biological research. The research involves use of group theory and number theory.
In addition to his work in applied mathematics, Thomas Prellberg studies enumerative and asymptotic combinatorics. His work includes classical combinatorial counting problems as well as lattice path counting of relevance to lattice statistical mechanics.
Leonard Soicher is interested in both theoretical and computational group theory, graph theory and design theory. He is closely involved with GAP, the computer system for group theory and discrete mathematics, and has developed GAP packages for studying graphs with group actions and for combinatorial design theory. These packages are widely used in the group theory and combinatorics communities. Some of the designs he has found are motivated by statistical applications. He is responsible for the website DesignTheory.org.
Dudley Stark works in probabilistic combinatorics, the study of randomly chosen combinatorial structures. The motivation for his field is twofold. Firstly, combinatorial objects with average properties may be difficult to construct explicitly and so proving their existence may require probabilistic methods. Secondly, randomly chosen combinatorial structures can be good models for physical or computational systems.
Ivan Tomašić studies model theory (a branch of logic) and applications in algebraic geometry and number theory. More specifically, his interests include arithmetic aspects of the Frobenius automorphism, geometry of fields with measure, (nonstandard) cohomology theories and motivic integration.
Mark Walters' interests lie in Combinatorics and Probability with particular emaphasis on their overlap. This includes Percolation, and the use of the probabilistic method in combinatorics. In Percolation Theory the bulk of his work has been on Continuum Percolation or Random Geometric Graphs. He is also interested in Ramsey Theory.
Bert Wehrfritz researches in algebra, especially group theory and related areas of ring and module theory. His current interest is finitary groups of various types; the theory of finitary groups has enjoyed a massive expansion over the last decade or so with much work in both Europe and North America.
Robert Wilson works in finite group theory, and related areas such as representation theory, some aspects of combinatorics, and computational techniques and algorithms applicable to finite groups. He is the architect of the web-based ATLAS of Finite Group Representations, and is especially interested in the sporadic simple groups, including the (in)famous Monster group.