Past Seminars & Events
Please see below for a list of past Events & Seminars.
Note that seminars since midSeptember 2013 are not currently being displayed on this page. These can be viewed on a webpage displaying the google calendar for our seminar series.
10 September 2013 Limit sets of semigroups of Möbius transformationsSpeaker(s): Matthew Jacques (Open University)Abstract: In parallel with the wellestablished theories of Kleinian groups and complex dynamics, we explore limit sets of semigroups of Mobius transformations. In particular we give three descriptio... 10 September 2013 Rosen's solution to the word problem for the Hecke groupsSpeaker(s): Mairi Walker, (Open University)Absract: The Hecke groups are certain groups of Mobius maps that were used by the German mathematician Erich Hecke in his study of Dirichlet series. The discrete Hecke groups were later studied by the...
30 May 2013 Hyperbolic Chaos: A Physicist's ViewSpeaker(s): Sergey Kuznetsov, (Russian Academy of Sciences, and Saratov State University)Sergey Kuznetsov, (Russian Academy of Sciences, and Saratov State University)
19 March 2013 Graphs on surfacesSpeaker(s): Pierre Guillot (Strasbourg)Pierre Guillot (Strasbourg) 6 March 2013 Energy Research ConferenceSpeaker(s): Bill Nuttall (The Open University), Tim Bedford (Strathclyde University), Rui Carvalho (Queen Mary University of London)Allday event
30 January 2013 Winter Combinatorics MeetingSpeaker(s): Mireille BousquetMélou (Université Bordeaux 1, France), David Conlon (Oxford University), David Evans (University of East Anglia), Iain Moffat (Royal Holloway), Steven Noble (Brunel University)Allday event in CMR11
4 December 2012 Composition of orbital matricesSpeaker(s): Jesús San Martin (Universidad Politécnica de Madrid)Abstract: The periodic orbits of discrete dynamical systems are determined by permutations. After associating the permutation of an orbit with a matrix, called an orbital matrix, we derive a compositi...
27 November 2012 Dependence of chaotic diffusion on size and position of holesSpeaker(s): Rainer Klages, (Queen Mary University, London)Abstract: A particle moving deterministically in a chaotic spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the time. Here we cons... 20 November 2012 The Squiral Tiling and its Diffraction
Speaker(s): Uwe Grimm (Open University)Abstract: The ThueMorse system is a paradigm of singular continuous diffraction in one dimension. Here, we consider a planar system constructed by a bijective block substitution rule, which is equiva... 13 November 2012 Reverse Divisors: 1089 and all that followSpeaker(s): Gareth Williams, (Open University)Abstract: On the topic of nonserious mathematics, Professor Hardy [1] writes "8712 and 9801 are the only fourfigure numbers which are integral multiples of their 'reversals',...and [the proofs] are ... 6 November 2012 A rough guide to fluctuation relations in statistical physicsSpeaker(s): Ian Ford, (University College, London)Abstract: The last decade or so has seen a flurry of activity concerning fluctuation relations; statements about the likely thermomechanical behaviour of systems undergoing processes. They involve concepts such as applied work, the transfer of heat, changes in free energy, and most intriguingly of all, the generation of entropy. They are valid away from the thermodynamic limit of large systems, and away from thermal equilibrium, allowing insight into the irreversible dynamics of systems large and small. In this talk I shall review the derivation of several fluctuation relations, including the Jarzynski equality and Crooks relation, using the methods of stochastic thermodynamics. A plethora of relations arises when systems held under different constraints are considered. I shall give examples of various cases, and finish with a consideration of Sagawa and Ueda's extension to the Jarzynski equality. This brings the concept of information acquired by measurement into the discussion, and provides an explicit and beguiling connection between information and thermodynamic entropy. 2 November 2012 Association rules mining approach for binary classification when response's distribution is imbalanced: Application to the prediction of inhospital mortality in Senegal and Mali
Speaker(s): Dr. Simplice DossouGbété (Université de Pau et des Pays de l’Adour)Abstract: The main issue of this presentation consists in the supervised classification when the response variable is binary and its classes distribution is unbalanced. When the outcome of interest is that with the lowest probability, standard methods such that logistic regression, classification tree, discriminant analysis, etc. tend to focus on the outcome with highest occurence probability and to ignore the outcome of interest. To overcome this shortcoming of these methods that provide classifiers with low sensibility, we tackled the classification problem here through an approach based on the association rules learning because this approach has the advantage of allowing the identification of the patterns that are well correlated with the target class. Association rules learning is a well known method in the area of datamining. It is used when dealing with large database for unsupervised discovery of local patterns that expresses hidden relationships between variables. In considering association rules from a supervised learning point of view, a relevant set of weak classifiers is obtained from which one derives a classification rule that performs well. The proposed method is applied for the prediction of the inhospital maternal mortality among women attending referral hospitals in Senegal and Mali.
30 October 2012 Dark energy: real or illusion?
Speaker(s): Malcolm MacCallum (Emeritus Professor of Applied Mathematics, Queen Mary, University of London)Abstract: The 2011 Nobel Prize for Physics recognized the use of supernovae data in detecting an apparent acceleration of the universe. The simplest explanation for this is some form of 'dark energy' ... 23 October 2012 Permutation patternsSpeaker(s): Michael Albert (University of Otago, New Zealand)Abstract: Patterns in permutations are subsequences considered only according to their relative order. For instance 231 occurs as a pattern in 14352 in two ways: as 452 and as 352. The study of collections of permutations defined by forbidding certain patterns exposes a great deal of structure, and interesting enumerative problems. I will introduce this field of study in a hands on way, making use of a software suite called PermLab which facilitates the graphical and numerical exploration of such collections. 16 October 2012 An Introduction to Boundary IdealsTo followSpeaker(s): Nicholas Korpelainen (Open University)Abstract: 'Boundary ideals' offer a pleasingly general notion to be used as a tool to systematically characterize families of posets. For example, a graph class can be viewed as a poset ordered by a ... 9 October 2012 Modelling maternal effects using quantitative geneticsSpeaker(s): Rebecca Hoyle, (University of Surrey)Abstract: : Any response to a changing world needs to be rapid if individuals are to maintain successful reproduction. One way in which mothers ensure successful reproduction is by influencing their ...
11 September 2012 Anisotropic coverings of fractal setsSpeaker(s): Harry Kennard, (Open University)Abstract: We consider the optimal covering of fractal sets in a twodimensional space using ellipses which become increasingly anisotropic as their size is reduced. If the semi=minor axis is ϵ and the...
26 June 2012 Managing uncertainty in future energy systemsSpeaker(s): Stan Zachary, (Heriot Watt UniversityAbstract: We discuss some of the mathematical, statistical and economic challenges arising in the management and control of future energy systems. Problems of interest include the prediction and inte... 20 June 2012 Growth of finite subsets in infinite groupsSpeaker(s): Jack Button, (University of Cambridge)Abstract: Given a finite subset A of a group G, there has been much recent interest in comparing the size of A with that of the double product A.A and (in the case where G is non abelian) the triple p... 13 June 2012 Lyness Cycles, Elliptic Curves, and Hikorski TriplesSpeaker(s): Jonny Griffiths, (University of East Anglia)Abstract: The heart of this thesis is an exploration of a new triple of natural numbers, (a, b, (ab+1)/(a+b) ). These Hikorski Triples (or HTs) arise from a simple yet evocative mathematical situation...
29 May 2012 A Linear Empirical Greenhouse ModelSpeaker(s): Charles F ClementBecause of large uncertainties in mechanistic models used to predict the mean global surface temperature, T, and in box models used to predict the atmospheric carbon dioxide concentration, c, it is hi... 22 May 2012 Combinatorial polytopes and intersection homologySpeaker(s): Jonathan Fine, (Open University)Abstract: The problem is this: What are the possible values of the number of vertices, edges, faces, etc on a convex polytope? The talk has three parts. First, the statement of the problem, and its ... 15 May 2012 Permutations and wordsSpeaker(s): Nik Ruskuc, (University of St Andrews)Abstract: In this talk I will explore how concepts from theoretical computer science  automata and languages  can be utilised in a combinatorial context such as the theory of pattern avoidance cla... 8 May 2012 Virtual patient stroke forecastingSpeaker(s): Jim Hague, (Open University)Abstract: Cardiac surgery can lead to the production of thousands of gaseous emboli. We have developed a virtual stroke model with the aim of understand the effects of this embolisation. Gaseous embo... 1 May 2012 Making Markov chains less lazySpeaker(s): Catherine Greenhill (University of New South Wales)Abstract: There are only a few methods for analysing the rate of convergence of an ergodic Markov chain to its stationary distribution. One is the canonical path method of Jerrum and Sinclair. This m...
24 April 2012 Analysing MEG dataSpeaker(s): Dr Robert Hasson (Open University)Abstract: Magnetoencephalography (MEG) is a brain imaging technique that produces a lot of data relating to brain function. This talk discusses a range of techniques that were used to extract useful ... 17 April 2012 The geometry of Galois' last theoremSpeaker(s): David Singerman, (University of Southampton)Abstract: The groups PSL(2,p) act transitively on the p+1 points of the projective line. In Galois' last letter he asked when these groups have a transitive action on less than p+1 points. The most i...
23 March 2012 Climate, models and uncertaintySpeaker(s): Peter Challenor (National Oceanography Centre, Southampton)Abstract
Anthropogenic climate change is one of the most important challenges facing society. The associated scientific problems are difficult, urgent and fascinating. Predicting what future climates... 6 March 2012 On a conjecture of Richard Weiss on locally primitive graphsSpeaker(s): Pablo Spiga, (University of MilanoBicocca)Abstract: In this talk, we are concerned with a 1978 conjecture of Richard
Weiss: there exists a function f such that, if X is a connected vertextransitive locally primitive graph of valency d, then...
28 February 2012 Knotting Nodes of lightSpeaker(s): Mark Dennis, (Physics. University of Bristol)Optical fields propagating in threedimensional free space are complex scalar fields, and typically contain nodal lines (optical vortices) which may be thought of as interference fringes. Optical vort... 21 February 2012 Views of Poincaré
Abstract: 2012 marks the centenary of the death of Henri Poincaré, who was one of the most important mathematicians, physicists, and philosophers of his time, and surely the only one lastingly to infl...
25 January 2012 13th Annual Winter Combinatorics MeetingSpeaker(s): Ian Anderson, (University of Glasgow), António Breda D’Azevedo, (University of Aveiro, Portugal), Peter Danziger, (Ryerson University, Canada), Diana Piguet, (University of Birmingham), Einar Steingrímsson, (University of Strathclyde)10 January 2012 Exploring the complexity of colloidal systems  raising more questionsSpeaker(s): Flavio Ghezzi (Universidad Mayor de San Andres, La Paz)Abstract: Mesostructures and chains, loosely bound ordered clusters, have been observed by numerous groups and many attempts have been carried out to understand the interactions involved. Despite cons...
9 December 2011 Chain event graphs: a new graphical representation of a discrete modelSpeaker(s): Professor Jim Q. Smith, Department of Statistics, University of WarwickAbstract: Bayesian Networks (BNs) are now widely used and have provided a framework for interrogating models, describing their implicit geometry, estimation and model selection. However many discrete ...
22 November 2011 Great MathematiciansSpeaker(s): Professor Robin Wilson (Emeritus Professor Open University), Raymond Flood (Kellogg College, Oxford)Abstract: Our recent illustrated book The Great Mathematicians is aimed at the general public and outlines the life and work of over 100 mathematicans. In this generalinterest and wideranging lectur... 1 November 2011 Applications of growth to group theorySpeaker(s): Dr Nick Gill (Open University)Abstract: Take a set A in a finite simple group G. What does the set AA look like? What about AAA? These simple questions have a myriad of applications  to the study of the structure of Cayley graphs...
25 October 2011 Graph DesignsSpeaker(s): Dr Tony Forbes, (Open University)Abstract: Let G be a simple graph. A G design of order n is a partitioning of the edges of the complete graph K_n into copies of graphs isomorphic to G. The existence problem for G designs is to deter... 18 October 2011 Rainfall in a TestubeSpeaker(s): Michael Wilkinson (Open University)Abstract: I shall describe experiments on a testtube model for rainfall, in which a steady rate of temperature change of partially miscible liquids induces periodic cycles of turbidity and droplet pr... 14 October 2011 A statistical excursion in the isochronic hills.Speaker(s): Philip A. Scarf (Salford Business School, University of Salford)Abstract: The adventure racer, when competing in mountain navigation events, is
often faced with an overoraround route choice. Is it quicker to go
over or around a hill when trying to get from a poi... 4 October 2011 PlanetMath ReduxSpeaker(s): Joe Corneli (KMi Open University)Abstract: In this talk, I will demo work in progress on a Web 2.0 infrastructure for mathematical problem solving. The aim of this project is to make undergraduatelevel mathematics easier to learn,...
27 September 2011 Algorithms for matrix groupsSpeaker(s): Eamonn O'Brien (University of Auckland)Abstract: We will discuss the inherent problems which arise when computing with matrix groups defined over finite fields. We will survey existing techniques and describe promising alternatives which ... 6 September 2011 Reversible maps in n complex variablesSpeaker(s): Anthony O'Farrell (Maynooth University)Abstract:A map is reversible if it is conjugate to its inverse. Originating in classical mechanics, this concept finds other applications, and there has been substantial work on reversible elements in...
14 June 2011 Quantum graphs where backscattering is prohibitedSpeaker(s): Brian WinnQuantum graphs are models for networks of vibrating wires, and are used to probe questions of universality for spectral behaviour in mathematical physics.
In this talk we will describe a new class of ...
17 May 2011 Typical distances in ultrasmall random networksSpeaker(s): Peter MörtersAbstract: A folklore result claims that if the asymptotic degree distribution of a random network with n vertices is a powerlaw with exponent strictly between two and three, then the distance between...
29 March 2011 Generic endomorphisms of homogeneous structuresSpeaker(s): Debbie LockettAbstract: A relational structure is homogeneous if every isomorphism between finite substructures extends to an automorphism. Homogeneous structures have been widely studied since the foundational wo... 25 March 2011 Three Topics in Nonlinear Time Series Analysis and ModellingSpeaker(s): Professor Tony LawranceAbstract: The three topics are (1) Volatility Graphics, (2) Garch Squares as Volatile Autoregressive Variables, and (3) Strict Stationarity Aspects of Garch Models. At least on the basis of the speak... 15 March 2011 Intrinsic Circle DomainsSpeaker(s): Edward CraneAbstract: A beautiful classical theorem of Koebe states that any finitelyconnected domain in the plane is conformally equivalent to a domain bounded by disjoint circles and punctures, and this canoni...
8 February 2011 Infinite antichains in permutation classesPermutation classes, the analogue of hereditary properties of graphs for permutations, are defined as downsets in the permutation containment partial ordering, and are most commonly described as the c...
25 January 2011 How big are distance setsSpeaker(s): Kenneth FalconerAbstract: The 'distance set' D(F) of a subset F of ndimensional Euclidean space is the set of all distances realised between pairs of points in F. A natural question is how 'big' D(F) must be, given ... 11 January 2011 Estimating the case fatality ratio in the flu pandemic 2009Speaker(s): Tini GarskeWhen the swine flu pandemic started in spring 2009, early estimates of the pandemic severity, including indicators such as the case fatality ratio (cfr), were of highest importance to public health pl...
23 November 2010 A Quantitative Form of Rudin's TheoremSpeaker(s): Tom KornerAbstract:
We use Baire category and simple probability to discuss the connection between the algebraic structure of a set and the speed with which a Fourier transform living on that set can decrease t... 16 November 2010 WorldWideWhiteboard and WorldWideTestbankSpeaker(s): Nick Perry, LinkSystems International IncAbstract: This presentation will demonstrate two technologies which can be used to support the online teaching of mathematics.
1) WorldWideWhiteboard (R) which is a web conferencing system that offe...
24 September 2010 Riemann manifold Langevin and Hamiltonian Monte Carlo MethodsSpeaker(s): Professor Mark GirolamiAbstract: The talk proposes Metropolis adjusted Langevin and Hamiltonian Monte Carlo sampling methods defined on the Riemann manifold to resolve the shortcomings of existing Monte Carlo algorithms wh...
21 June 2010 Inequalities in domains with irregular boundariesSpeaker(s): Dr Ritva HurriSyrjanenAbstract
We consider classical inequalities such as Poincare, Sobolev, Trudingertype inequalities, which are known to be valid in domains with sufficiently regular boundaries. We discuss the valid...
18 May 2010 Technology enhanced mathematics distance educationSpeaker(s): Birgit LochAbstract:
In this presentation I will give an overview of penbased technologies used (and also those trialled but not adopted) for mathematics distance education at the University of Southern Queens...
5 March 2010 Rain in the test tube?Speaker(s): Jeurgen VollmerAbstract: In clouds the adiabatic cooling drives uprising air across the cloud point and hence causes nucleation of cloud droplets which subsequently coarsen and eventually lead to rain. In clouds nuc... 2 March 2010 Algebraic geometry, convex polytopes and graphsSpeaker(s): Jonathan FIneAbstract: This talk has two parts. The first is a survey. It shows how deep results in the topology of algebraic varieties produce, via cut polytopes, graph invariants. These invariants seem to be ne...
27 November 2009 Likelihoodfree inference with sequential Monte Carlo sampler Speaker(s): Dr Yanan FanAbstract:
Recent methods in Bayesian simulation have provided ways of evaluating posterior distribution in the presence of analytically or computationally intractable likelihood functions. Collectivel... 10 November 2009 Photonic Properties of MetallicMean Quasiperiodic Chains
Speaker(s): Stefanie ThiemAbstract:
Results for the light propagation through a stack of two media with different diffractive indices are presented, which are aligned according to different quasiperiodic sequences determined b... 9 November 2009 A mass transference principle in metric number theorySpeaker(s): Professor Sanju VelaniAbstract: There are two fundamental results in the classical theory of metric Diophantine approximation: Khintchine's theorem and Jarnik's theorem. The former relates the size of the set of well appro...
11 September 2009 Behaviour of MCMC algorithms in High dimensionsSpeaker(s): Natesh PillaiAbstract: MetropolisHastings methods form a widely used class of MCMC (Markov Chain MonteCarlo) methods for sampling from complex probability distributions. We will discuss popular algorithms like ...
25 August 2009 Computational Neutronics Speaker(s): Nigel Davies (Serco)Nigel Davies is a specialist in the design, assessment and modelling of radiological plant and operations. He has a B.Sc. degree in Theoretical Physics and has studied several topics with the OU.
He...
5 June 2009 Mixing for commuting mapsSpeaker(s): Professor Tom WardAbstract: Mixing is a fundamental notion from probability that provides important invariants for classifying dynamical systems. This talk will give a brief survey of the mixing problem for actions gen... 4 June 2009 History of Mathematics LecturesSpeaker(s): Karen Parshall, William DunhamOU Centre for the History of the Mathematical SciencesHistory of Mathematics lectures
Thursday 4th June in Room M302
For the latest of our history of maths afternoons, the OU Centre for
the History o... 1 June 2009 The Embalmer's Book of RecipesSpeaker(s): Ann Lingard'THE EMBALMER'S BOOK OF RECIPES' TALK: OU, June 1st 2009
"QUASIFICTIONAL"
One of the characters in Ann Lingard's latest novel, The Embalmer's Book of Recipes, is a mathematician working on quasicr...
21 January 2009 Dealing with a moment angle complexSpeaker(s): Professor Tony BahriAbstract: Very simple constructions involving circles, discs and some combinatorics popup unexpectedly in a variety of both pure and applied mathematical contexts. After a brief survey, we shall disc...
18 December 2008 Euclidean and hyperbolic lengths of images of curvesSpeaker(s): Professor Alan BeardonAbstract
Let f be a function that is analytic in the unit disc. We give new estimates, and new proofs of
existing estimates, of the Euclidean length of the image under f of a radial segment in the un... 9 December 2008 A Christmas CarrollIf Charles Dodgson (Lewis Carroll) had not written the Alice books or been a pioneer photographer, would he be remembered as a mathematician, the career he held as a lecturer at Christ Church in Oxfor...
3 November 2008 Chaotic particle sedimentation in unsteady laminar flowsSpeaker(s): JeanRegis Angiella, Nancy Unversity, FranceAbstract
We present an asymptotic analysis of heavy Stokes particle transport in laminar flows. Our goal is to determine under which conditions chaotic particle motion can occur, for a given fluid flo...
21 October 2008 Infinite compositions of diffeomorphismsAbstract
It is well known that the infinite product , converges if . In this talk we consider infinite compositions
, with a diffeomorphism of the unit interval . Denoting the nonlinearity of t... 14 October 2008 Live fast, die youngSpeaker(s): Penny LynchParasitic nematodes only grow whilst they are juveniles. The age at which they mature determines their size as adults, and their adult size determines their rate of egg production. In this tradeoff b...
23 September 2008 The Thermodynamic Casimir EffectWhen a vacuum is confined between two perfectly conducting parallel plates quantum fluctuations in the electromagnetic field give rise to a longrange attractive force between the plates. This is cal...
2 July 2008 History of Mathematics DaySpeaker(s): Jackie Stedall, Dr Peter Neumann, Raymond Flood11.00: Jeremy Gray (OU)
How not to run a department: complex analysis at Berlin in the 19th century
The triumvirate of Kronecker, Kummer and Weierstrass dominated mathematics in Berlin in the second ...
26 June 2008 Fingerprints of Random Flows?Abstract:
We consider the patterns formed by small rodlike objects advected by a random flow in two dimensions. An exact result indicates that their direction field is nonsingular. However, we f... 24 June 2008 Binding and clustering of superlight small bipolaronsSpeaker(s): Jim Hague, Department of Physics, Open UniversityAbstract: We have recently reported the existence of superlight small bipolarons on lattices formed from triangular plaquettes [J.P.Hague, P.E.Kornilovitch, J.H.Samson and A.S.Alexandrov, Phys. Rev. L... 17 June 2008 The Design of the CenturySpeaker(s): Terry GriggsIn 1981, Marialuisa de Resmini conjectured the existence of a combinatorial design with 100 points, having a certain prescribed property. Over the years this became a famous, or infamous, unsolved p... 3 June 2008 Similarity versus Coincidence IsometriesSpeaker(s): Svenja GliedThe classification of grain boundaries in crystals and quasicrystals is intimately related with the existence of similar and coincidence sublattices of the underlying lattice of periods or the corresp...
29 May 2008 Collisions of particles advected in random flowsSpeaker(s): Kristian GustavssonAbstract
Particles advected in a fluid will collide due to diffusive mechanisms, but as was pointed out by Smoluchowski [Z. f. physik. Chemie, XCII, 129168, (1917)], macroscopic motion of the fluid ... 20 May 2008 Nucleation and chemical kinetics in small systemsSpeaker(s): Ian FordAbstract
The nucleation of new phases, for example the formation of a new crystal on a surface exposed to a supersaturated solution, is typically a random process. Embryonic molecular clusters with ... 14 May 2008 George Darwin’s lectures on Hill’s Lunar TheorySpeaker(s): Craig StephensonIn the late 1870’s two papers were published in which G.W. Hill presented a novel method for determining the motion of the Moon. These muchacclaimed papers were a turning point in the history of the ... 6 May 2008 Access for Disabled Students to MathematicsSpeaker(s): Martyn CooperIn educational and professional science, engineering and mathematics situations we need to be able to represent often complex mathematics in electronic formats. There are diverse means of doing this ...
22 April 2008 Random networks with sublinear preferential attachment Speaker(s): Dr Peter MortersAbstract: We define a dynamic model of random networks, in which new nodes are added successively and attach to old ones with a probability which depends in a nonlinear way on their current degree. We...
6 March 2008 Mathematicians fleeing from Hitler’s GermanySpeaker(s): Reinhard SiegmundSchultzeThe emigration of mathematicians from Europe after 1933 and the ensuing shift of the world centre of mathematics from Europe to the United States is arguably the most important historical result of Na...
28 February 2008 The Hammer in the Making:
Graph Transformation on Networks, Molecules, and DiagramsSpeaker(s): Reiko HeckelGraphs are among the simplest and most universal models for a variety of systems, throughout computer science, engineering, and the life sciences. When systems evolve, we are generally interested in the way they change, to predict, support, or react to evolution. Graph transformations combine the idea of graphs, as a universal modelling paradigm, with a rulebased approach to specify the evolution of systems.
Examples of graphs and graph transformation presented in the lecture will be drawn from areas such as social networks, distributed computing, biochemistry, and engineering. We will discuss the contributions graph transformations can make to these areas and consider, in return, how applications to other disciplines motivate the development of new concepts, theories and tools for graph transformation.
30 January 2008 9th Annual Winter Combinatorics MeetingSpeaker(s): Anthony Hilton (Queen Mary, London), James Hirschfeld (Sussex), Martin Mačaj (Comenius, Bratislava), Gordon Royle (Western Australia), Andrew Thomason (Cambridge)This is the 9th Annual OU Winter Combinatorics Meeting. It will take place place in CMR 11, The programme schedule and abstracts are available as a pdf file at http://puremaths.open.ac.uk/combin/index.htm. 29 January 2008 Escaping Points of Entire FunctionsSpeaker(s): Dr Lasse Rempe, University of LiverpoolABSTRACT.
Let f be a transcendental entire function; that is, a holomorphic selfmap of the complex plane which is not a polynomial. In 1926, Fatou began the dynamical study of such functions. In par... 8 January 2008 Analysis SeminarIn 1981 Noel Baker presented results concerning the types of components of the Fatou set of a transcendental function. He showed that if a transcendental entire function has an invariant Baker domain,...
20 November 2007 Curves and GraphColouringsSpeaker(s): Professor Norman BiggsThe chromatic polynomial tells us the number of propercolourings of a graph, with a given number of colours, say k. For large values of k the number is relatively wellbehaved, as the word ‘polynom...
30 October 2007 Quantum Diagonalization of Hermitean Matrices Speaker(s): Dr Stefan WeigertTo measure an observable of a quantum mechanical system leaves it in one of its eigenstates and the result of the measurement is one of its eigenvalues. This process is shown to be a computational res... 23 October 2007 Solitons and defectsSpeaker(s): Professor Ed CorriganIntegrable field theories such as the sineGordon model have been studied for many years, however it is only recently that boundaries and defects (or shocks) have been taken into account.
Following a ...
30 June 2007 Euler's Mathematical LegacySpeaker(s): Prof John Coates (University of Cambridge), Prof Keith Moffatt (University of Cambridge), Prof Veeravalli Varadarajan (UCLA, USA)Euler's Mathematical Legacy, Mathematical Institute, 2429 St Giles, Oxford
Jeremy Gray (OU)
Leonhard Euler – the life and work of an 18thcentury academician
Euler’s life from 1707 to 1783 almost sp... 19 June 2007 Mathematics Department  Departmental Research DayDepartmental Research Day with contributions from:
Dr Gwyneth Stallard  Escaping points for meromorphic functions
Prof Terry Griggs  Topological design theory
Dr Uwe Grimm, Christian Huck and Dr Ber... 13 June 2007 Euler Afternoon  13th June 2007JEREMY GRAY
Euler  The Life and Work of an 18th Century academician
Euler’s life from 1707 to 1783 almost spans the 18th century and his career involved him with all the leading learned Academies of ...
8 May 2007 Modelling aspects of solid tumour growthSpeaker(s): Professor Philip MainiIn recent years there has been a significant paradigm shift in mathematical modelling in biological systems towards integrative modelling across a large range of spatial and temporal scales. A typical...
20 March 2007 Symmetry and enumeration of selfsimilar fractalsSpeaker(s): Kenneth Falconer from St.AndrewsWe describe a general method for enumerating the distinct selfsimilar sets that arise as attractors of certain families of iterated function systems, using a little group theory to analyse the symmet... 9 March 2007 Graphical models with edge and vertex symmetriesSpeaker(s): Prof. Steffen LauritzenUndirected graphical Gaussian models restricts elements of the concentration (inverse covariance) matrix K to being zero whenever the associated variables are conditionally independent given the remai...
16 February 2007 Statistics with a human faceSpeaker(s): Adrian Bowman, University of GlasgowStereophotogrammetry provides highresolution data defining the shape of threedimensional objects. One example of its application is in a collaborative study of the growth of children's faces. The ...
24 January 2007 Winter Combinatorics Meeting Speaker(s): Bill Jackson (Queen Mary), Daniela Kühn (Birmingham), Imre Leader (Cambridge), John Talbot (UCL), Vassili Mavron (Aberystwyth)This is the eighth annual OU winter combinatorics meeting. The schedule of talks, titles and abstracts will be available in the year. The meeting is run with the support of the British Combinatorial C...
5 December 2006 Maths Christmas LectureThis year's Mathematics Christmas Lecture 'A Mathematician on Call' will be given by Prof Phil Rippon. The lecture will be given in the morning (10.00 am) and repeated in the afternoon (2.00 pm). Attendance is by ticket only available from Tracy Johns (mccmesecretary@open.ac.uk)
24 November 2006 Cluster analysis for gene expression data using the clusteringfunctionbased methodSpeaker(s): Dr Baibing LiDNA microarray technology has now made it possible to investigate thousands of gene expression data simultaneously. In recent years, due to the pioneering work by Eisen et al. (1998), it has become commonplace for researchers to perform cluster analysis for gene expression data to identify patterns. This talk will review the recently developed clustering method, the clusteringfunctionbased method, and discuss its links to the Fisher linear discriminant analysis, the modelbased clustering method, and regression analysis. To illustrate this new methodology, two case studies for clustering gene expression data are investigated using the clusteringfunctionbased method. The results are compared with that obtained using conventional clustering methods. 21 November 2006 Similar sublattices of the root lattice A_4
Similar sublattices of the root lattice A_4 are possible for each index that is the square of a nonzero integer of the form m^2+mnn^2. In this talk a constructive approach based on the quaternion algebra H(Q(sqrt{5}), which also provides the actual sublattices and the number of different solutions for a given index, is explained in detail. The corresponding Dirichlet series generating function is closely related to the zeta function of the icosian ring.
10 October 2006 CPD and Promoting Maths as a SubjectSpeaker(s): Ted GrahamThe background to the National Centre will be described briefly with reference to Adrian Smith’s report. The vision for the National Centre will be explored with particular reference to using collabo...
27 July 2006 Discrete Tomography of Penrose Model SetsSpeaker(s): Christian Huck (Bielefeld)Various theoretical and algorithmic aspects of inverse problems in discrete tomography of planar Penrose model sets are discussed. These are motivated by the question of materials science for the reco... 6 July 2006 Maths OnLine ProjectSpeaker(s): Professor Tim Porter (Bangor), Dr Ben Mestel (Stirling), Dr Stephen Lynch9.009.55 Professor Tim Porter (Bangor): "Combinatorics, Topology and Observations"
Abstract: The talk will look at some of the ways in which the classical combinatorial and topological idea of a si...
22 June 2006 Renormalization in quasiperiodically forced systemsSpeaker(s): Professor Andrew OsbaldestinWe review recent rigorous results on renormalization in a variety of quasiperiodically forced systems. Results include a description of (i) selfsimilar fluctuations of localized states in the Harper ... 6 June 2006 Victorian MathematicsSpeaker(s): Adrian Rice (RandolphMacon, USA), Karen Parshall (Virginia, USA)De Morgan's Laws are familiar to any mathematician who has taken an undergraduate course in set theory. Yet it is ironic that the man after whom they were named is remembered almost exclusively for a...
17 May 2006 Universal singular sets in the calculus of variationsTonelli's Theorem gives sufficient condions on a function F: R^3 \to R to ensure that for (a,A),(b,B) \in R^2 there is an absolutely continuous minimizer u of \int_a^b F(t,u(t),u'(t))dt for which u(a)... 17 May 2006 Holomorphic selfmaps and Euclidean contractionsSpeaker(s): Professor Alan Beardon (Cambridge)Schwarz's Lemma implies that if f is a holomorphic selfmap of the unit disc with f(0)=0, then f'(0) \leq 1. In 1931 Dieudonne proved that under these circumstances f'(z) \leq 1 for z \leq \sqrt... 9 May 2006 Pisot Substitutions and Model SetsSpeaker(s): Bernd Sing (Bielefeld)A one dimensional (infinite) sequences over a finite alphabet can be generated by a substitution rule. We will explain how for a certain class of substitutions, socalled Pisot substitution, one can a... 9 May 2006 Here's Looking at Euclid, IIRethinking the elements – two thousand years of reflections on the foundations of geometry  What is geometry about? The answer given in Euclid’s /Elements/ is that it is about shapes: lines, triangle... 4 May 2006 Models for an Outbreak of Avian Influenza in the UK Poultry FlockSpeaker(s): Dr Azra Ghani (London School of Hygiene & Tropical Medicine)A new highly pathogenic form of avian influenza (known as subtype H5N1) first emerged in the Hong Kong poultry markets in 1997. Although largescale culling of birds controlled this outbreak, it reem...
27 April 2006 Potential theory of the farthest point distance functionSpeaker(s): Professor Stephen Gardiner (University College Dublin)The farthest point distance function of a nonempty compact set E in the plane is defined by d_{E}(x)=\max_{y\in E} xy. This function arises naturally in the study of sharp inequalities for norms o... 25 April 2006 Three Talks on Euclid's ElementsSpeaker(s): Sonja Brentjes, Ian MuellerJune BarrowGreen
'Much necessary for all sortes of men': 450 years of Euclid's Elements in English
Robert Record's "The Pathway to Knowledge", which was published in 1551, was the first book in Engli... 6 April 2006 On the multilinear Kakeya conjectureSpeaker(s): Jonathan Bennet, University of BirminghamIn 1919, Besicovitch gave an example of a set in the plane that contains a unit line segment in every direction and yet the set itself has zero area. In 1971, Roy Davies showed that such sets in the...
16 February 2006 Crazy Topology meets Complex Dynamical SystemsSpeaker(s): Professor Bob Devaney (Boston University)Topologists are used to looking at such complicated planar sets as Cantor bouquets, indecomposable continua, and Sierpinski curves. Each of these spaces has some very interesting and almost counterin... 15 February 2006 Computation, Construction and SelfReplicationSpeaker(s): William Stevens (OU)Abstract: The presentation will include a discussion of the computational properties of systems of particles that repel one another, the relationship that such systems have to selfreplicating system... 7 February 2006 Noncrystallographic reduction of Calogero Moser modelsSpeaker(s): Christian Korff (City University)Abstract: Many integrable and exactly solvable models in physics are associated with Lie algebras and their root systems. CalogeroMoser models, which describe systems of r particles with r being the ...
13 January 2006 Scatter matrices and independent component analysis (ICA)Speaker(s): Professor Hannu Oja, University of Tampere, FinlandAssume that a random pvector s has independent components and that where A is a positive definite p x p matrix and b is a pvector. Assume that is a random sample from the distribution F of . I... 10 January 2006 Some observations on nonlinear signal processingSpeaker(s): Max Little, Pattern Analysis Research Group, Engineering Science and Applied Dynamical Systems Group, Applied Mathematics, OxfordLinear signal processing is ubiquitous and very useful, but nonlinearity exists in every system and there are many practical examples where the resulting nonlinear dynamics should not be ignored. Thi...
13 December 2005 Liquid crystals, polyhedral geometries and harmonic mapsSpeaker(s): Jonathan Robbins (Mathematics, Bristol)Motivated by prototype designs for bistable displays, we consider nematic liquid crystals, described by a director field, in a polyhedral domain subject to tangent boundary conditions. Tangent bounda... 12 December 2005 Adding value through evaluationSpeaker(s): Professor Murray Saunders, Lancaster UniversityEvaluation isn’t just about accountability. Evaluation in itself can add value to the project process. The problem with the term evaluation is that we often associate it with some external body or individual making judgements about the efficacy, productivity or value of what we are doing, using criteria over which we have no control, asking questions, the legitimacy of which we might question. 12 December 2005 Recombination, genetic drift and mutation in multilocus systemsSpeaker(s): Inke Hildebrandt (Bielefeld)We investigate populations of haplotypes evolving under the joint influence of recombination, genetic drift and mutation. First we present a deterministic approach, valid for infinite populations. In ... 9 December 2005 Making the best of the worst caseSpeaker(s): John Copas, Warwick UniversityInference depends not only on the data but also on the assumptions we are prepared to make about how the data relate to the population of interest. When assumptions are unverifiable, as they often are... 8 December 2005 Alternating Sign MatricesSpeaker(s): Dr. Roger Behrend (Cardiff)Abstract:
An alternating sign matrix (ASM) is a square matrix in which each entry is 1, 0 or 1, and the nonzero entries in each row and column alternate in sign, starting and ending with a 1. A simp... 7 December 2005 The Music of the Primes  Sixth Form Mathematics EventSpeaker(s): Prof. Marcus du Sautoy, Oxford UniversityWhy did Beckham choose the number 23 shirt? How is 17 the key to the evolutionary survival of a strange species of cicada? Prime numbers are the atoms of arithmetic – the hydrogen and oxygen of the wo...
29 November 2005 Quasiperiodicity and quantum magnetismSpeaker(s): Anuradha Jagannathan (Paris)Roger Penrose discovered that it was possible, using two types of tiles and certain rules for placing them, to obtain an infinite number of plane tiling structures with no periodic repetitions. Althou... 21 November 2005 Some applications of biplot methodology in practiceSpeaker(s): Niel le Roux, Stellenbosch UniversityPrincipal component analysis (PCA) and canonical variate analysis (CVA) biplots can be regarded as multivariate scatterplots for displaying (and analysing) respectively variation and group structure i...
18 October 2005 Existence of receding and advancing contact linesSpeaker(s): Professor Jens Eggers (Bristol)We study a solid plate plunging into or being withdrawn from a liquid bath, to highlight the fundamental difference between the local behavior of an advancing or a receding contact line, respectively....
30 September 2005 Multiple Imputation for Hierarchical and Longitudinal DataSpeaker(s): Mike Kenward, (London School of Hygiene and Tropical Medicine)Rubin's method of multiple imputation (MI) for handling missing data in a principled way is now well established in some areas of application. A brief overview of the method will be given, providing b... 28 September 2005 Music of the PrimesPrime numbers are the atoms of mathematics. They can’t be broken down into simpler units – they are, by definition, indivisible by any other number. And they seem to be fundamental to all numbers: 8 September 2005 Classification of E. coli genes based on gene regulationSpeaker(s): Maia AngelovaThe advance of DNA microarray technology and genome sequencing allow monitoring gene expression level on a genomic scale. We have analysed gene expression data from microarray experiments of Escherich...
28 June 2005 Some very even combinatorial numbersSpeaker(s): Ian Wanless, School of Engineering and Logistics, Charles Darwin University, AustraliaIn three recent and seemingly unrelated combinatorial enumerations the author has uncovered a strikingly similar property of the results; a suspiciously high power of 2 lurking amongst the factors. Th... 20 June 2005 Research Student Seminar DaySpeaker(s): Alun Owen, Helen Beaumont, Chris BanksTalks from various research students about their respective areas of work. 16 June 2005 Maths, Physics and Philosophy around 1900 2.00 – 3.00 pm: Jeremy Gray: Poincaré’s electromagnetic theory and Einstein’s: physics and philosophy around 1900
Henri Poincaré was widely regarded as one of the leading mathematicians of his day, a... 14 June 2005 Cultured MathematicsMathematics developed from many different cultures over thousands of years.
These three minilectures (interspersed with teabreaks) illustrate a range of activities from Egypt, Mesopotamia, Greece,... 10 June 2005 Loss functions for some awkward estimation problemsSpeaker(s): Merrilee Hurn, University of BathSeveral years ago, Havard Rue showed how visually improved estimates of binary images could be obtained by using loss functions which were better suited to the particular estimation problem than the u...
3 May 2005 Infinite Dimensional MCMC MethodsSpeaker(s): Andrew Stuart (Warwick)There are a wide variety of sampling problems which are infinite dimensional in character.
Examples include transtion path sampling in chemistry and nonlinear filtering in signal processing. In both t...
22 April 2005 100 Years of MarkingSpeaker(s): Byron J.T. Morgan, University of KentIn 1899, H.C. Mortensen conducted the first scientific study involving marked wild animals. In this talk there will be a short historical review of the large amount of statistical work that has taken ...
31 March 2005 1 day DREaM meetingSpeaker(s): John COPAS (Warwick), Modelling., Ursula GATHER (Dortmund), Outliers., John GOWER (Open), Exploratory Multivariate Data Analysis and Modelling., Paul MARRIOTT (Waterloo), Local Mixture Models., Marco RIANI (Parma), Robust Diagnostics., Victor YOHAI (Buenos Aires), Robustness.DREaM 2005
Developments in Statistical Methodology:
Diagnostics Robustness Exploration and Modelling
OVERVIEW:
Two DREaM events, reviewing developments in statistical methodology both within and bet...
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