## 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.

### Oscar Bandtlow

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

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.

Web page | MathSciNet Profile | Genealogy

### Cho-Ho Chu

Cho-Ho Chu's interests in analysis and geometry include Jordan theory and infinite dimensional manifolds, analysis on homogeneous spaces, operator algebras and functional analysis.

Web page | MathSciNet Profile | Genealogy

### David Ellis

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.

Web page | MathSciNet profile | Genealogy

### Matthew Fayers

Matt Fayers works in representation theory of finite groups and finite-dimensional algebras, especially representations of the symmetric group (in prime characteristic) and related Hecke algebras. He is interested in finding decomposition numbers and the structures of modules for these algebras. This work is highly combinatorial in flavour, and Matt also works in combinatorics (especially the combinatorics of partitions) related to representation theory. |

### Alex Fink

Alex Fink works in algebraic combinatorics, especially in combinatorics informed by commutative algebra and algebraic geomety. His recent work has concerned matroids, their invariants, and varieties associated to them, and tropical geometry and algebraic statistics. |

### Bill Jackson

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.

Web page | MathSciNet Profile | Genealogy

### Oliver Jenkinson

Oliver Jenkinson works in ergodic theory and dynamical systems, and is interested in connections with

areas of mathematics such as number theory, combinatorics, fractal geometry, complex analysis, and functional analysis. Recent work has focused on optimization problems in ergodic theory, and spectral analysis of transfer operators.

Web page | MathSciNet profile | Genealogy

### Mark Jerrum

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.

Web page | MathSciNet Profile | Genealogy

### Xin Li

Xin Li's research focuses on operator algebras, K-theory and functional analysis. He is also interested in number theory and dynamical systems. |

### Shahn Majid

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.

Web page | MathSciNetProfile | Genealogy

### Reto Müller

Reto Müller's research is in geometric analysis, nonlinear partial diﬀerential equations, and the calculus of variations, with emphasis on geometric heat ﬂows. The main focus of his current research is on the Ricci ﬂow. This evolution equation for a Riemannian metric on an abstract manifold proved spectacularly successful with Grigori Perelman proving a complete classiﬁcation of three-dimensional manifolds in 2002/2003. Reto Mueller's recent results are mainly about higher-dimensional Ricci flow and its singularity formation. |

### Thomas Müller

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.

Web page | MathSciNet Profile | Genealogy

### Behrang Noohi

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. |

### Thomas Prellberg

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. He is currently interested in combinatorial interpretations of roots of basic hypergeometric functions. |

### Leonard Soicher

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.

Web page | MathSciNet Profile | Genealogy

### Dudley Stark

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

Ivan Tomašić studies model theory (a branch of logic) and applications in algebraic geometry and number theory. More specifically, his interests include difference algebra and geometry (relating to the arithmetic aspects of the Frobenius automorphism), measurable structures, (nonstandard) cohomology theories and motivic integration. |

### Mark Walters

Mark Walters' interests lie in Combinatorics and Probability with particular emphasis 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.

Web page | MathSciNet Profile | Genealogy

### Robert Wilson

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. Current interests include exceptional Lie groups and potential applications to physics.

Web page | MathSciNet Profile | Genealogy

## Emeritus staff

### 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.

Web page | MathSciNet Profile | Genealogy

### Shaun Bullett

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 thirty 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.

Web page | MathSciNet Profile | Genealogy

### Peter Cameron

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

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 connections with model theory, and the theory of \(\mathbb{R}\)-trees is now an important part of low-dimensional topology. His recent work is on ordered groups and related classes of groups; this is relevant to topological questions, especially in the theory of manifolds. Other less recent interests include equations over groups and cohomology of groups.

Web page | MathSciNet Profile | Genealogy

### Anthony Hilton

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.

Web page | MathSciNet Profile | Genealogy

### Wilfrid Hodges

Wilfrid Hodges retired from the department in 2006 after a career in mathematical logic (model theory) and moved to Dartmoor. There he maintains an interest in Dependence Logic and some mathematical aspects of semantics and music. But his main work is now on the logic and semantics of the 11th century Persian scholar Ibn Sina.

Web page | MathSciNet Profile | Genealogy

### Charles Leedham-Green

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.

Web page | MathSciNet Profile | Genealogy

### Angus Macintyre

Angus Macintyre's main research interest is mathematical logic which has involved research in group theory, algebraic geometry, number theory and neural methods.

MathSciNet Profile | Genealogy

### Susan McKay

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.

MathSciNet Profile | Genealogy

### Bert Wehrfritz

Bert Wehrfritz researches in algebra, especially group theory and related areas of ring and module theory. His current interests are finitary groups of various types, automorphisms with few fixed points of groups under various rank restrictions and the endomorphism monoids of such groups.