## Previous Events

### 2017

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##### You&#8217;re looking in the wrong directions! Optimal calibration of computer models with spatio-temporal output
Abstract: Since the seminal paper by Kennedy and O&#8217;Hagan in 2001, the calibration of computer models using Gaussian process emulators has represented a gold standard for scientists and statisticians ...
##### A spatial stochastic model for explaining macro-ecological patterns in species-rich ecosystems.
Abstract: Despite a vast body of research that informs us about the general properties of spatial macroecological patterns of species-rich ecosystems, we still lack a satisfactory theory that explain...
##### Regression with I-priors
Abstract: The aim of this talk is to describe an (empirical) Bayes estimator for parametric and nonparametric regression functions with good frequentist properties. Our estimator is the posterior dis...
##### Next generation neural field modelling
Abstract: Neural mass models have been actively used since the 1970s to model the coarse grained activity of large populations of neurons and synapses. They have proven especially fruitful for under...
##### The swelling and drying of a spherical gel
Abstract: Swelling is a process in which a porous material spontaneously grows by absorbing additional pore fluid. Polymeric hydrogels are highly deformable materials that can experience extreme volu...
##### Time-dependent feature allocation models via Poisson Random Fields
Abstract: In a feature allocation model, each data point is described by a collection of latent features, possibly unobserved. For example, we might classify a corpus of texts by describing each docu...
##### Factoring integers with Ford circles and Dirichlet's approximation with Short circles
Abstract: We describe a geometric method developed by Lester R Ford in the 1930s to visualize the calculation of continued fractions, and we use the technique to give an alternative geometric proof o...
##### Quasiperiodic renormalisation for general rotation number
Abstract: Starting from familiar number expansions (decimal, binary etc), we develop the dynamic expansions that form the basis of general quasiperiodic renormalisation, a review of which forms the s...
##### Exploring and exploiting new structured classes of covariance and inverse covariance matrices
Abstract: Estimation of covariance and inverse covariance (precision) matrices is an essential ingredient to virtually every modern statistical procedure. When the dimension, p, of the covariance mat...
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##### &#8220;Knowledge gained by experience&#8221;: Olaus Henrici &#8211; engineer, geometer, and maker of mathematical models
Abstract: The (Danish-born) German mathematician Olaus Henrici (1840&#8211;1918) studied in Karlsruhe, Heidelberg and Berlin before making his career in London, first at University College and then, from 1...
##### The swelling and drying of a spherical gel
Swelling is a process in which a porous material spontaneously grows by absorbing additional pore fluid. Polymeric hydrogels are highly deformable materials that can experience extreme volume changes during swelling.
##### Mastering mathematical concepts
Abstract: In this seminar Alf will consider what it means to master a mathematical concept. In many studies and curricula there is an assumption that learning must begin with 'processes' that are pro...
##### Dependent Generalised Dirichlet Process Priors
Abstract: We propose a novel Bayesian nonparametric process prior for modelling a collections of random discrete distributions. This process is defined by combining a Generalised Dirich- let Process ...
##### The number of triangles in a graph with a given number of vertices and edges
Abstract: Extremal Graph Theory began with a theorem of Mantel in 1907, stating that every $n$-vertex graph with more than $n^2/4$ edges contains at least one triangle. Erd\H{o}s asked for a quantita...
##### A survey of topology and data
Abstract: Over the last few years some classical ideas from topology (simplicial complexes, open coverings, homology) have come to the forefront of data science, offering some exciting new tools to understand complicated data sets and discover new s
##### Discreteness of Ultra-Parallel Complex Hyperbolic Triangle Groups
Abstract: We will discuss discreteness of certain ultra-parallel complex hyperbolic triangle groups, namely of groups of isometries of the complex hyperbolic plane generated by complex reflections in three ultra-parallel complex geodesics two of whi
##### Tessellations in geometry, analysis and number theory
Let G be a group of homeomorphisms of a space X. We shall discuss what it means for a group to be discrete and/or act discontinuously on X, and how one can tessellate X by constructing a fundamental r...

### 2016

##### Chain Event Graphs for missing data
Abstract: Chain Event Graphs will be introduced: they are statistical models for a set of random variables whose joint probability function is described in terms of a graph.
##### A Century of Graph Theory
Abstract: This talk covers the period from around 1890, when graph theory was mainly a collection of isolated results, to the 1990s when it had become part of mainstream mathematics. Among many other...
##### Exploring dependence between categorical variables: Benefits and limitations of using variable selection within Bayesian clustering in relation to searching for interactions
Abstract: Detecting interactions when analysing data sets created by large cohort or association studies is becoming increasingly important in Biostatistics.
##### Product-free sets and filled groups
Abstract to follow
##### The escaping set of transcendental self-maps of the punctured plane
Abstract: In this talk I will present the research from my PhD. I studied the iteration of holomorphic self-maps of C*, the complex plane with the origin removed, for which both zero and infinity are...
##### SL_2-tilings, infinite triangulations, and continuous cluster categories (report on joint work with Christine Bessenrodt and Thorsten Holm)
"An SL_2-tiling is an infinite grid of positive integers such that each adjacent 2x2-submatrix has determinant 1. These tilings were introduced by Assem, Reutenauer, and Smith for combinatorial purpo...
##### Statistical Mechanics of Classical Fluids: Density Functional Theory and Equilibrium and Dynamics of Wetting
Abstract: In this talk we will demonstrate the apparatus of the classical density functional theory (DFT), which is a valuable computational statistical-mechanical framework to analyze fluids at the ...
##### Detecting Treatment Effects in Longitudinal Clinical Trials for Alzheimer's Disease: Can we find Better Strategies than Fitting Z-Composite Scores?
Abstract: Randomised controlled trials in Alzheimer&#8217;s disease typically use a composite score, made up of a linear combination of items from multiple sub-scales or cognitive domains, as the primary o...
##### Modeling and control of microgrids for next-generation power systems
The microgrid represents a unique generation and distribution paradigm that can enable the vision of sustainable and resilient future power systems. The present talk covers several aspects of the oper...
##### Title to follow
Abstract to follow
##### LMS Scheme 3 Meeting - Holomorphic dynamics
2.00 - 2.30 Simon Albrecht (Liverpool), Speiser Class Julia sets with dimension near 1 2.30 - 3.00 Leticia Pardo-Simon (Liverpool), Escaping dynamics in the cosine family 3.00 - 3.30 Trevor Clark (I...
##### Of bubbles, sound and levitation
"Bubbles are ubiquitous in science and technology: they have a role in food science and in volcanoes, in chemical plants and in global warming models. Sometimes they are desired (e.g. in cleaning), so...
##### The eventual hyperbolic dimension of entire functions
The eventual hyperbolic dimension is introduced as a way to characterize the weight of the hyperbolic sets near infinity. It can be used as a criterion of impediment to the existence of conformal measures.
##### Summer Post Graduate Research Student Day
Summer Postgraduate Research Student Day - various talks
##### Fractal substitution tilings and applications to noncommutative geometry
Starting with a substitution tiling, such as the Penrose tiling, we demonstrate a method for constructing infinitely many new substitution tilings.
##### Interfaces and metastability in solid and liquid crystals
When a new phase is nucleated in a martensitic solid phase transformation, it has to fit geometrically onto the parent phase, forming interfaces between the phases accompanied by possibly complex microstructure.
##### Evidence beyond Randomised Controlled Trials
Evidence from Randomised Controlled Trials (RCT) are often viewed as the gold standard. However, there are many situations where we will not be able to conduct a RCT.
##### Structure in Dichotomous Preferences
Many computationally hard voting problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences.
##### Parking functions generalised to trees and mappings - enumerative and asymptotic results
Parking functions were originally introduced in the context of a simple hashing procedure and have since then been studied intensively in combinatorics.
##### Can price be an effective regulator of a power system? A differential-equation modelling approach
We investigate a simple differential equation model of a power system incorporating conventional and renewable generation and storage, in which the agents respond to a price signal determined by the mismatch between generation and demand-net-of-renew
##### Data assimilation and large scale computing
Data assimilation is the process of systematically including (often noisy) data into a forecast. It is now widely used in numerical weather prediction and its positive impact on the accuracy of weather forecasts is unquestionable.
##### Statistical methods for imputation of missing variables across studies: Bayesian vs. classical approach
When performing multiple regression analysis using data from multiple studies, one often faces the issue of different studies having measured different sets of variables.
##### A High-Temporal-Resolution Analysis of the UK Power System used to Determine the Optimal Amount and Mix of Energy Storage Technologies
This study applies a detailed time-step analysis to low-carbon scenarios for the UK in year 2050, provided by the DECC 2050 Calculator. We look at the increased need for energy storage to accommodate variations in electricity supply and demand.
##### Muß es sein - Epigraph to a string quartet
&#8220;Muß es sein?&#8221; So wrote Beethoven in an epigraph to his last string quartet. In today&#8217;s great quest for the Theory of Everything, physicists are led to ask the same: Must it be so?
##### The Reception of Newton&#8217;s Mathematical Work in 18th-Century Geneva and Lausanne
Geneva and Lausanne were among the earliest Newtonian outposts in Europe. I will offer an overview of the context, the main actors and editorial enterprises that made such an early adoption of mathematical Newtonianism possible.
##### Semigroups of Möbius transformations
In this talk we introduce semigroups of Möbius transformations, and to each of these we associate two subsets of the Riemann sphere &#8211; the limit sets of the semigroup.
##### Scalable Bayesian Inference with Hamiltonian Monte Carlo
Despite the promise of big data, inferences are often limited not by sample size but rather by systematic effects.
##### Solitary waves on a ferrofluid column
A static column of liquid supported in a fluid of the same density will tend to disintegrate as a result of the Rayleigh capillary instability associated with the interfacial tension between the two liquids.
##### Product-free sets in groups
A set S of positive integers is sum-free if for all a,b in S a+b is not in S. Any finite sum-free set of positive integers is contained in a strictly larger sum-free set, so we tend to frame questions in terms of sum-free sets of {1,...,n}.
##### Bi-Lipschitz equivalence and bounded distance equivalence of Delone sets
Delone sets are discrete infinite sets of points in the plane without arbitrarily large holes.
##### On the heat content of open sets in R^m, m&#8805; 2
We obtain results for heat flow problems on Euclidean space R^m ,m &#8805; 2, where the initial temperature distribution is the characteristic function of a bounded, open set D.
##### Modelling bubbles and crashes: applications to bitcoin and to trading
We consider a stochastic or second-order extension of the seminal Johansen-Ledoit-Sornette model. During a bubble prices spike upwards.
##### The Denjoy-Wolff theorem for Hilbert's metric spaces
The classical Denjoy-Wolff theorem asserts that all orbits of a fixed point free holomorphic self-mapping of the open unit disc in the complex plane, converge to a unique point in the boundary of the disc.
##### Assessing dissimilarity of random sets through convex compact approximations, support functions and envelope tests
In recent years random sets were recognized as a valuable tool in modelling different processes from fields like biology, biomedicine or material sciences.
##### Quasiperiodic sums and products
We discuss an important class of functions denoted Quasiperiodic Sums and Products which link the study of critical phenomena in diverse fields such as the birth of Strange Non-Chaotic Attractors, Critical KAM Theory, and q-series (much used in Strin
##### Mathematical modelling of the moving contact line from the macro to the nanoscale and back
The moving contact line problem occurs when attempting to model the movement of the location where two fluid phases and a solid meet, as occurs when droplets spread (e.g.
##### Non-linear rheology of blood at the microscale
Experimental and theoretical results regarding physical properties of blood at the microscale will be presented.
##### Information-Theoretic View of Mutation and Optimal Search of Sequences in Hamming Spaces
Mutation is a random change of a genetic sequence encoding an organism, and because it often has deleterious effect on fitness, mutation is traditionally viewed as damage that should be minimised.
##### Boundary behaviour of holomorphic functions and a related result on harmonic measures
Let f be a holomorphic function on the unit disc, and let (S_{n_k}) be a subsequence of its Taylor polynomials about the origin.

### 2015

##### Hermann Weyl's quest for meaning in mathematics
In the course of his life Hermann Weyl (1885&#8212;1955) wrote on numerous aspects of pure mathematics and mathematical physics, including the theory of Riemann surfaces, the theory of Lie groups, and the general theory of relativity.
##### The Art of Garden and Landscape Design and the Mathematical Sciences in the Early Modern Period
The Art of Garden and Landscape Design and the Mathematical Sciences in the Early Modern Period
##### On Some Nonparametric Classifiers Based on Distribution Functions of Multivariate Ranks
Over the last two decades, multivariate sign and rank based methods have become popular in analysing multivariate data. In this talk, we present a classification methodology based on the distribution of multivariate rank functions.
##### Mathematical challenges in balancing electricity supply and demand
Large electricity networks - such as the GB national grid - must be kept balanced on a minute-by-minute basis. Heretofore this has been largely a case of predicting demand and scheduling generation (necessarily some hours ahead) so as to meet it.
##### Coulomb blockade in biological ion channels
The permeation of biological ion channels is shown to be governed by Coulomb blockade in close analogy with conduction in semiconductor quantum dots.
##### Non-chaotic domains in space
When iterating an entire function in the plane, there are often domains where all iterates behave 'nicely'. These domains are called Fatou components.
##### Modeling Lagrangian trajectories as stochastic processes
Fluid dynamics are often modeled and estimated from the Lagrangian perspective.
##### Instantaneous gelation and explosive condensation in non-equilibrium cluster growth
The kinetics of various mechanisms of non-equilibrium cluster growth such as aggregation or exchange-driven growth are characterised by an interaction kernel, K(x,y), which specifies the average rate of interaction of particles having sizes x and y r
##### Model categories - the joy of abstract nonsense
Model categories were developed in the 1960s to describe the rational homotopy theory of topological spaces. They define axiomatically what it means for two morphisms to be homotopic.
##### Kangaroos, card tricks and discrete logarithms
Kangaroos, card tricks and discrete logarithms
##### Inhomogeneous attractors: structure and dimension
Inhomogeneous iterated function systems are natural generalisations of the classic iterated function systems, commonly used to generate examples of fractal sets. The key difference is, one begins wit...
##### Well-quasi-ordering does not imply bounded clique-width
Suppose we have an order relation on a class ${\bf G}$ of graphs. We say that this relation is well-quasi order WQO if ${\bf G}$ does not contain an infinite antichain. WQO relations are an important part of the modern graph theory research.
##### Mandelbrot sets for matings
The classical Mandelbrot set M is the subset of parameter space for which the Julia set of the quadratic polynomial z^2 + c is connected. Two analogous connectivity loci are M1 for the family of ratio...
##### The Shogo and Arthur Show
The wrapped Cauchy distribution on the circle and its bivariate extension and Inference for a bivariate wrapped Cauchy model for data on the torus.
##### The recombination equation for general partitions and its solution
The recombination equation from population genetics is a non-linear ODE that can nevertheless be solved completely. The solution, which is recursive in nature, employs methods from convex analysis, ...
##### Analysis and Forecasting of Locally Stationary Time Series
Abstract: Faced with a new time series a statistician has many questions to ask. What kind of models are appropriate? Is the series stationary? How can I produce good forecasts? This talk advertises a...
##### Sparse Linear Discriminant Analysis with Common Principal Components
Abstract: Linear discriminant analysis (LDA) is a commonly used method for classifying a new observation into one of g-populations. However, in high-dimensional classification problems the classical L...
##### Bootstrap Confidence Intervals for Contributions in Mahalanobis Distance
Abstract: Hotelling&#8217;s T2 and Mahalanobis distance are widely used in the statistical analysis of multivariate data. When either of these quantities is large, a natural question is: How do individual v...
##### Analysis of serial cross-sectional data: risk patterns of blood-borne viruses in people who inject drugs
Abstract:Cross-sectional data on age-specific prevalence may be used to estimate the agespecific force of infection (FOI), the rate at which susceptible individuals acquire infection. With a sample ta...
##### Escaping Fatou components of transcendental self-maps of the punctured plane
Abstract: We use results from approximation theory to construct examples of transcendental self-maps of the punctured plane with wandering domains and Baker domains that accumulate to zero and/or inf...
##### Walls and cliques - a problem in extremal graph theory
Abstract: In this talk I will discuss a problem which has rather unusual origins in the rules of a BBC quiz show. The rules can be generalised in a natural way to describe a problem in clique decompo...
##### Continued fractions with coefficients in Z[&#8730;2i]
Abstract: In the 1980's Richard Moekel and Caroline Series independently discovered an elegant method for representing continued fractions in the hyperbolic plane by considering the sequence of cuts ...
##### Dynamics and diffraction of the Thue-Morse chain
Abstract: The theory of aperiodic order is the mathematical theory of quasicrystals. These are materials that have pure point diffraction but lack lattice symmetry. Systems from symbolic dynamics are...
To follow
##### The degree-diameter problem for circulant graphs of small degree and arbitrary diameter
Abstract: The degree-diameter problem is a search for graphs of given degree and diameter that are extremal in the sense that they have the greatest possible order. In this talk we address the sub-pr...
##### Time Series meet Network Science
Abstract: In the last years, ideas and methods from network science have been applied to study the structure of time series and signals, thereby building a bridge between nonlinear dynamics, time s...
##### Singular Capillary Microflows: Modelling, Computation & Scaling
Abstract: Understanding the interaction of liquids with solids (wetting) and other liquid bodies (coalescence) holds the key to optimizing a whole host of technological processes, including a number ...
To follow
##### Some stochastic models for rainfall
Abstract: The first part of the seminar will describe a class of stochastic point process models, based on doubly stochastic Poisson processes, for modelling fine-scale rainfall. We examine the applic...
##### Commutativity and Collinearity: A Fundamental Connection Between Pappus and Diophantus
Abstract: This talk investigates the discovery of an intriguing and fundamental connection between the famous but apparently unrelated work of two mathematicians of late antiquity, Pappus and Diophan...
##### Quasiperiodic Schrodinger operators: arithmetic spectral transitions
Abstract: Up until the mid-70s the kind of spectra most people had in mind in the context of theory of Schrodinger operators were spectra occurring for periodic potentials and for atomic and molecular...
##### Irreversible dynamics
Abstract: We will present several issues connected with the study of irreversible dynamics. In particular, we shall focus on hypoelliptic/hypocoercive processes and in this context discuss: i) expone...
To follow
##### Mathematical Exchanges in Britain through Questions and Answers
Abstract: The "questions and answers" genre of mathematical journals enjoyed a wide-ranging popularity in Britain throughout the eighteenth and nineteenth centuries. This genre provided a publication...
##### Back to the future: Digital design for the 11th century
Abstract: A geometric solution to a cubic equation may seem peculiar to modern eyes, but the study of cubic equations (and indeed much of early algebra) was initially motivated by geometric problems....
##### The comparison of multiple imputation methods for repeated measurement studies
Abstract: The objective of this work is to evaluate multiple imputation (MI) methods for imputing missing data in observational health studies with repeated measurements with particular focus on incom...
##### Spreading Estimates for Quantum Walks in One Dimension
Abstract: We will discuss dynamical systems given by iterating a unitary operator on a normalized initial state in a separable Hilbert space. This defines a probability distribution which varies in ti...
##### Triangular Constellations in Fractal Measures
Abstract: The local structure of fractal sets may have important implications for properties such as light scattering or network connectivity. It is therefore of interest to understand the statistics...
##### A dynamical partition of the plane based on orbits of points under iteration by an entire function
Abstract: We consider a dynamical partition of the complex plane based on the nature of the orbits of points under iteration by an entire function. Orbits may tend to infinity (in which case we say ...
##### The growth of permutations avoiding 1324
Abstract: : The enumeration of the class of permutations avoiding 1324 is notorious for its difficulty. Even the asymptotic growth rate of the 1324-avoiders is currently unknown, although it has bee...
##### From permutations to graphs: well-quasi-ordering and infinite antichains
Abstract: The celebrated Graph Minor Theorem tells us that every infinite collection of graphs contains one graph which is a minor of another, so graphs are "well-quasi-ordered with respect to the mi...
##### Statistical methods for projective shape analysis
Abstract:Projective shape is the information in a geometric object that is invariant under projective transformations. The main application is to camera images, where a projective transformation corr...
##### Pattern complexity of cut and project sets
Abstract: A cut and project set is a discrete set obtained by projecting a certain subset of the integer lattice onto a subspace. This procedure has connections to features of Diophantine properties o...
##### Weighted projective spaces, cohomology and piecewise algebra
Abstract: Weighted projective spaces are interesting through many lenses: as natural generalisations of ordinary projective spaces, as toric varieties and as orbifolds. From the point of view of algeb...

### 2014

##### Beauville surfaces, structures and groups
Abstract: Beauville surfaces are a class of rigid complex surfaces that have many nice geometric properties and were first introduced by Catanese around 15 years ago. Much of what makes this class of...
##### Mandelbrot's eyes and 1/f noise
Abstract: More than 100 years ago, Thomson and Tait's classic "Treatise on Natural Philosophy" cautioned its readers against "considering the formula and not the fact as physical reality". Deciding ...
##### General model-based methods for distance sampling
Abstract:: In distance sampling, distances of detected animals from a line or point are used to estimate animal density and abundance. Conventional distance sampling is a hybrid method; probability of...
##### Quantum Quenches and Quantum Integrability
Details to follow
##### The Möbius function of the small Ree groups
Abstract: In 1936 Hall showed that Möbius inversion could be applied to the lattice of subgroups of a finite group G in order to determine the number of n-bases of G, that is, generating sets of G of...
##### Maximally and non-maximally fast escaping points of transcendental entire functions
We partition the fast escaping set of a transcendental entire function into two subsets, the maximally fast escaping set and the non-maximally fast escaping set. These sets have strong dynamical prope...
##### Wandering domains and commuting functions
What dynamical features do two commuting functions share? It is known since Julia and Fatou that any two commuting rational functions have the same Julia set, and the families of commuting rational f...
##### Immersion of the dynamical Teichmüller space into the moduli space of rational maps
Teichmüller theory's goal is to study deformations of the complex structure of a Riemann surface. In the 80's, McMullen and Sullivan introduced an analogue of this theory in the context of iterations ...
##### Noise-induced complexity in multiscale systems
External or internal random fluctuations are ubiquitous in many physical systems and can play a key role in their dynamics often inducing a wide variety of complex spatio-temporal phenomena, including...
##### Modelling exposure-lag-response associations
Abstract: In epidemiological research, a health effect is frequently associated with protracted exposures of varying intensity, with the risk being dependent on the specific exposure pattern sustaine...
##### On the self-similarity and box-counting dimension of strange non-chaotic attractors
Strange non-chaotic attractors (SNAs) have been shown to occur in a broad class of quasi-periodically forced systems and have been a prominent topic of research over the past three decades. In this se...
##### Continued fractions and discrete semigroups of Moebius transformations
We consider the problem of finding those finite sets of real numbers with the property that every continued fraction with coefficients from one of those sets converges. It turns out that there are str...
##### Escape to infinity: as slow as you like or (almost) as fast as possible
Abstract: A point $x$ is said to `escape to infinity' if the sequence of iterates $f^k(x)$ tends to infinity. The functions $f$ we consider are either analytic on the complex plane or quasiregular on...
##### Valediction Day to Jeremy Gray
This two-day conference, which has received over £3000 in funding from the LMS, ICHM and BSHM, will be held in the Mercure Parkside Hotel, Milton Keynes, from 11 to 12 September 2014. The aim of the...
##### Large Graphs Of Diameter 2
Abstract: The degree-diameter problem of graph theory seeks to determine the largest possible number of vertices of a graph with given maximum degree (number of neighbours of a vertex) and diameter (l...
##### Annular itineraries for C*
Abstract: We are interested in studying the different rates of escape of points under iteration by transcendental holomorphic self-maps of C*. We do so by comparing them with the iterated maximum and...
##### Sufficient conditions for a point to be fast escaping
Abstract: Let f be a transcendental entire function. The set of points that eventually escape to infinity faster than the iterates of the maximum modulus function is known as the fast escaping set an...
To follow
##### On Bishop's wandering domain example
Abstract: After a brief summary on the existence (or not) of wandering domains on different scenarios we will explain Bishop's construction of transcendental entire functions in Eremenko-Lyubich's cla...
##### The Somos Sequence Saga
Abstract: Michael Somos noticed that certain quadratic (or bilinear) recurrence relations surprisingly yield sequences of integers. An explanation for this was provided by the further observation that...
##### Title to follow
Abstract to follow
##### Fast-mode elimination in stochastic metapopulation models
Abstract: I will discuss an investigation into the stochastic dynamics of entities which are confined to a set of islands, between which they migrate. They are assumed to be one of two types, and in a...
##### Double Standard Maps
Abstract: We will investigate a two-parameter family of maps of the circle into itself, which we call Double Standard Maps. They are non-invertible analogues of the famous Arnold Standard Maps. I will...
##### Deligne-Mumford compactification and Berkovich spaces
Abstract: The space of rational map of degree d>1 modulo conjugacy by Moebius transformations is not compact. When you consider a diverging sequence, we can see some phenomena called "rescaling limits...
##### Global relations for toric singularities
Abstract: In this talk we will discuss a link between geometry of continued fractions and global relations for singularities of complex projective toric surfaces. The results are based on recent devel...
##### Multi-scale modelling of molecular photovoltaic materials
Abstract: The application of molecular semiconductor materials to optoelectronic applications such as solar energy conversion presents both an opportunity, in terms of the vast range of material prope...
##### Energy Meeting
Two day event - For more details, see http://mcs.open.ac.uk/energymeeting/
##### Open Statistical Physics
All day event - For more details, see http://osp.open.ac.uk/
##### The existence of designs
Abstract: A Steiner Triple System on a set X is a collection T of 3-element subsets of X such that every pair of elements of X is contained in exactly one of the triples in T. An example considered by...
##### Dynamical density functional theory: solidification of soft matter and why disordered solids or states with quasicrystaline order can form
Over the last few years, a number of dynamical density functional theories ( DDFT) have been developed for describing the dynamics of the one-body density of both colloidal and atomic fluids.
##### The monotonicity of principal pattern classes with respect to inversions
Abstract: An inversion in a permutation is a pair of elements that is "out of order". Let w be any permutation except the identity. Let Av(w) be the set of permutations avoiding w (it is a principal p...
##### : Local and global branching of solutions of ODEs in the complex plane
Abstract: One main aspect of the work presented is to show, for certain classes of ordinary differential equations, that all movable singularities of all solutions in the complex plane are either pol...
##### Applications of growth to group theory
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...
##### Graph Designs
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...
##### Rainfall in a Testube
Abstract: I shall describe experiments on a test-tube model for rainfall, in which a steady rate of temperature change of partially miscible liquids induces periodic cycles of turbidity and droplet pr...
##### A statistical excursion in the isochronic hills.
Abstract: The adventure racer, when competing in mountain navigation events, is often faced with an over-or-around route choice. Is it quicker to go over or around a hill when trying to get from a poi...
##### Decision problems in Richard Thompson's groups F, T and V
We will start by describing the history of Richard Thompson's infinite groups F, T and V. We will then discuss Decision problems for these groups.
##### PlanetMath Redux
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 undergraduate-level mathematics easier to learn,...
##### Hausdorff measure of escaping and Julia sets of bounded type entire functions
Abstract: We show that the escaping sets and the Julia sets of bounded type transcendental entire functions of order become 'smaller' as . More precisely, their Hausdorff measures are infinite with ...
##### Algorithms for matrix groups
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 ...
##### Full and limited information estimation methods for latent variable models with longitudinal categorical data
Abstract: The talk will discuss composite likelihood estimation and more specifically methods that use bivariate instead of multivariate marginal probabilities for latent variables models with ordinal...
##### A functional linear operator arising from a model of dynamo growth
Abstract: In this talk I will outline a stretch-fold-shear model of magnetohydrodynamical dynamo growth studied by Andrew Gilbert. This model gives rise to an interesting one-parameter family of func...
##### Reversible maps in n complex variables
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...
##### Chirality Issues with Distance Based Protein Folding Simulations
Abstract: Differential equations can be exploited to solve molecular or protein geometric distance problems using a class of distance based energy potentials. We show that energy potentials based on l...
##### High Resolution Bayesian Space-Time Modelling for Ozone Concentration Levels
Abstract: Ground-level ozone is a pollutant that is a significant health risk, especially for children with asthma. It also damages crops, trees and other vegetation. It is a main ingredient of urban...
##### Mathematical and Experimental Aharonov-Bohm Boundary Conditions
Abstract: In the framework of nonrelativistic quantum mechanics, we present a study of three topics related to the Aharonov-Bohm (AB) effect. We always consider a cylindrical solenoid of radius greate...
##### The American Journal of Mathematics: Defining a New Culture of Mathematical Publication
The contemporary mathematical community largely takes for granted the importance of journals for communicating new results and influencing career development. As late as the 1870s, however, the outlet...
##### Bringing maths to market: Macmillan and Co. as publishers of mathematics, 1850-1900
Abstract: While Victorian publisher Macmillan and Co. are best remembered for their liaisons with literary authors, they published a large number of mathematical ones too. Among the most renown are Pe...
##### Quantum graphs where back-scattering is prohibited
Quantum 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 ...
##### The Open University Complex Analysis and Geometry Meeting
http://complex-meeting.open.ac.uk/
##### Typical distances in ultrasmall random networks
Abstract: A folklore result claims that if the asymptotic degree distribution of a random network with n vertices is a power-law with exponent strictly between two and three, then the distance between...
##### Penalized Gaussian Process Regression and Classification for High-Dimensional Data
Abstract: The model based on Gaussian process (GP) prior and a kernel covariance function can be used to fit nonlinear data with multi-dimensional covariates. It has been used as a flexible nonparamet...
##### Entire functions for which the escaping set is a spider's web
Abstract We construct several new classes of transcendental entire functions, f, such that both the escaping set, I(f), and the fast escaping set, A(f), have a structure known as a spider's web. We sh...
##### Generic endomorphisms of homogeneous structures
Abstract: 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...
##### Three Topics in Non-linear Time Series Analysis and Modelling
Abstract: 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...
##### Intrinsic Circle Domains
Abstract: A beautiful classical theorem of Koebe states that any finitely-connected domain in the plane is conformally equivalent to a domain bounded by disjoint circles and punctures, and this canoni...
##### Residual finiteness of groups and symmetric maps on surfaces
Abstract: A regular map is an embedding of a graph in an orientable surface, such that the orientation preserving automorphism group of the embedding acts regularly on the incident vertex-edge pairs o...
##### Efficient entropy-based detection of change-points in streaming data
Abstract: It is well-known that the entropy of an unknown stationary source can be consistently estimated using an estimator based on the lengths of long repeated sections of text. I will discuss a me...
Abstract. T.B.A.
##### Infinite antichains in permutation classes
Permutation 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...
##### Segregation of inertial particle in turbulent flows:singularties, caustics and random uncorrelated motion
Abstract: The way particles suspended in a turbulent gas flow are transported and segregated by turbulent structures is crucial in many atmospheric and industrial applications such as powder producti...
##### How big are distance sets
Abstract: The 'distance set' D(F) of a subset F of n-dimensional 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 ...
##### The Structure of escaping set in complex dynamics and multiply connected Fatou components of entire functions/
Abstract: Phil will describe the underlying themes of a joint EPSRC research project exploring a surprising connection between two conjectures of Baker and Eremenko. Gwyneth will then talk about the p...
##### Estimating the case fatality ratio in the flu pandemic 2009
When 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...
##### Self-organization and self-assembly in biological materials: liquid crystals in biomineralization
It is becoming ever more clear that liquid crystals play an essential role in the self-organization and self-assembly of biological materials. I shall discuss the occurrence of liquid crystals in biol...

### 2010

t.b.a.
##### A Quantitative Form of Rudin's Theorem
Abstract: 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...
##### WorldWideWhiteboard and WorldWideTestbank
Abstract: 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...
t.b.a
##### Riemann manifold Langevin and Hamiltonian Monte Carlo Methods
Abstract: 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...
##### Detecting sites of differential adaption in multiple sequence alignment
Abstract: Homologous genes may have adapted to perform different functions. Typically, this functional specificity is endowed by just a few residues in the protein sequence. Can we detect these specif...
##### Inequalities in domains with irregular boundaries
Abstract We consider classical inequalities such as Poincare-, Sobolev-, Trudinger-type inequalities, which are known to be valid in domains with sufficiently regular boundaries. We discuss the valid...
##### Optimal trip-planning in transport systems with random delays.
Abstract: Public transport systems are likely to be always subject to delays, and a disincentive to passengers is the complexity of planning journeys in the presence of such uncertainty. Most people,...
##### Technology enhanced mathematics distance education
Abstract: In this presentation I will give an overview of pen-based technologies used (and also those trialled but not adopted) for mathematics distance education at the University of Southern Queens...
##### A mathematical model of insect development: Spatial and temporal consequences
Host-parasitoid systems are common in the insect world. Parasitoids are typically flies or wasps while caterpillars are a classic example of a host. A key aspect to modelling host-parasitoid interact...
##### The persistence of disease in an SIR model with self-regulation and seasonal birthrate
Abstract|: In this talk we shall analyse the standard Susceptible-Infected-Recovered (SIR) differential equation model of disease dynamics with density-dependent death rate and seasonality in the bir...
##### Rain in the test tube?
Abstract: 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...
##### Algebraic geometry, convex polytopes and graphs
Abstract: 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...
##### Classical motion in force fields with short range correlations >
Abstract: We study stochastic acceleration, that is the long time motion of fast particles moving through time-dependent random force fields with correlations that decay rapidly in space, but not ne...
##### Joint probability distribution of extreme eigenvalues of the Gaussian Unitary ensembles
Abstract:: In this talk I will describe the computation of the joint probability density function of the extreme eigenvalues of the Gaussian Unitary Ensembles using ladder operators which arise in un...

### 2009

##### Likelihood-free inference with sequential Monte Carlo sampler
Abstract: Recent methods in Bayesian simulation have provided ways of evaluating posterior distribution in the presence of analytically or computationally intractable likelihood functions. Collectivel...
##### Calculation of determinants of Laplacians on a surface of constant negative curvature
Abstract: I'll discuss various numerical techniques to calculate the determinant of the Laplacian in a class of hyperbolic Riemann surfaces. The class is obtained by using the Fenchel-Nielsen model,...
##### Photonic Properties of Metallic-Mean Quasiperiodic Chains
Abstract: 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...
##### A mass transference principle in metric number theory
Abstract: 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...
##### An analysis of the discussion between the Marquis De L&#8217;Hospital and Johann Bernoulli on the differential calculus
Abstract:In 1696 the Marquis de L&#8217;Hospital published the Analyse des infiniment petits, the first systematic educational work on differential calculus. It was based on Johann Bernoulli&#8217;s Lectiones de ...
##### Behaviour of  MCMC algorithms in High dimensions
Abstract: Metropolis-Hastings methods  form a widely used class of MCMC (Markov Chain MonteCarlo) methods for sampling from complex probability distributions.  We will discuss popular algorithms like ...
##### Flexible Learning and Teaching with Technology at the University of Southern Queensland
Abstract to follow
##### Resetting behavior of bursting in neuroendocrine cells
Open University Maths MSc eColloquium
##### Computational Neutronics
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...
##### Mixing for commuting maps
Abstract: 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...
##### History of Mathematics Lectures
OU 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...
##### The Embalmer's Book of Recipes
'THE EMBALMER'S BOOK OF RECIPES' TALK: OU, June 1st 2009 "QUASI-FICTIONAL" One of the characters in Ann Lingard's latest novel, The Embalmer's Book of Recipes, is a mathematician working on quasicr...
##### From polynomials to entire transcendentals: the escaping set and dynamic rays
Let f be an entire function; then f is either a polynomial or an entire transcendental map. The objects of main dynamical interest are the Fatou set F(f) of f, defined as the maximal open set where th...
##### 10th Open University Winter Combinatorics Conference
10th Open University Winter Combinatorics Meeting, Details at www. wcm.open.ac.uk
##### Dealing with a moment angle complex
Abstract: Very simple constructions involving circles, discs and some combinatorics pop-up unexpectedly in a variety of both pure and applied mathematical contexts. After a brief survey, we shall disc...

### 2008

##### Euclidean and hyperbolic lengths of images of curves
Abstract 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...
##### A Christmas Carroll
If 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...
##### Combinational and Arithmetical Properties of Positional Numeration Systems with a Parry base
Abstract: Preponderant positional numeration systems are those ones with an integer base. Rényi in 1957 introduced a generalization - numeration systems with any real number &#946; > 1 as their base - and ...
##### Minding the gap: the theory of equations from Cardano to Lagrange
Abstract Lagrange in 1771 claimed that there had been no little advance in the subject of solving polynomial equations since the time of Cardano. Lagrange was too good a historian, however, to think t...
##### Fixed point sets of equivariant projective spaces and links with toric topology
Abstract: In topology, the concept of a "net on a surface" is well developed (see M338). This talk will consider equivariant cellular structures and fixed point sets (suitably defined) for projective ...
##### Maximum likelihood estimation of a multidimensional log-concave density
Abstract We show that if X1, &#8230;, Xn are a random sample from a log-concave density f in Rd, then with probability one there exists a unique maximum likelihood estimator fn* of f. The use of this esti...
T.B.A.
##### Chaotic particle sedimentation in unsteady laminar flows
Abstract 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...
##### Infinite compositions of diffeomorphisms
Abstract 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...
##### Live fast, die young
Parasitic 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 trade-off b...
##### The Thermodynamic Casimir Effect
When a vacuum is confined between two perfectly conducting parallel plates quantum fluctuations in the electromagnetic field give rise to a long-range attractive force between the plates. This is cal...
##### Communicating Mathematics: A Historical and Personal Journey
For most of my life I have attempted to communicate mathematics to a wide range of audiences &#8211; through my teaching, public lectures, publications, and other means. This illustrated lecture explores th...
##### History of Mathematics Day
11.00: 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 ...
##### Fingerprints of Random Flows?
Abstract: We consider the patterns formed by small rod-like objects advected by a random flow in two dimensions. An exact result indicates that their direction field is non-singular. However, we f...
##### Binding and clustering of superlight small bipolarons
Abstract: 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...
##### The Design of the Century
In 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...
##### Similarity versus Coincidence Isometries
The 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...
##### Collisions of particles advected in random flows
Abstract Particles advected in a fluid will collide due to diffusive mechanisms, but as was pointed out by Smoluchowski [Z. f. physik. Chemie, XCII, 129-168, (1917)], macroscopic motion of the fluid ...
##### When is the escaping set of an entire function a spider's web?
Abstract: This talk describes joint work with Gwyneth Stallard on the structure of the escaping set of a transcendental entire function, that is, the set of points in the complex plane where the itera...
##### Nucleation and chemical kinetics in small systems
Abstract 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 ...
##### George Darwin&#8217;s lectures on Hill&#8217;s Lunar Theory
In the late 1870&#8217;s two papers were published in which G.W. Hill presented a novel method for determining the motion of the Moon. These much-acclaimed papers were a turning point in the history of the ...
##### Access for Disabled Students to Mathematics
In 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 ...
##### Random networks with sublinear preferential attachment
Abstract: 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...
##### London Technology Network: Opportunities for technology transfer and more
Abstract. This talk introduces LTN, the London Technology Network that was set up to link the academic research base in the wider London area and beyond with industry. LTN offers a forum to promote U...
##### A Framework for Computer Security Requirements Analysis
Asbtract: The purpose of security engineering is to provide assurance of an adequately secure system. The purpose of computer security requirements analysis is to help provide this assurance, as far ...
##### Clustering, Caustics and Collisions in Turbulent Aerosols
Abstract: Small particles suspended in a turbulent gas can cluster together. It is widely believed that this is due to particles being 'centrifuged' away from vortices. It has also been proposed that...
##### Conformal and invariant measures for hyperbolic meromorphic functions - construction and some properties
Abstract: We consider hyperbolic transcendental functions (entire or meromorphic) of finite order satisfying so-called rapid derivative growth condition. We present results of V.Mayer and M.Urbanski c...
##### Executable Misuse Cases for Modeling Security Concerns
Misuse cases are a way of modeling negative requirements, that is, behaviours that should not occur in a system. In particular, they can be used to model potential attacks on a system as well as the s...
##### Mathematicians fleeing from Hitler&#8217;s Germany
The 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...
##### The Hammer in the Making: Graph Transformation on Networks, Molecules, and Diagrams
Graphs are among the simplest and most universal models for a variety of systems, throughout computer science, engineering, and the life sciences.
##### Yea, Why Try Her Raw Wet Hat? A talk on music and mathematics
Abstract: Why are pianos always out of tune? Why are there seven colours in the rainbow? What does 31-tone music sound like? Which opera is the same forwards and backwards? What is the meaning of this...
##### Monitoring & predicting Mt Etna volcano: what can mathematicians contribute?
I will introduce this frequently-erupting volcano, and the methods that I have used to try to monitor and predict its behaviour over the past 32 years.  The 3 principal methods are levelling, tilt and...
##### 9th Annual Winter Combinatorics Meeting
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.
##### Escaping Points of Entire Functions
ABSTRACT. Let f be a transcendental entire function; that is, a holomorphic self-map of the complex plane which is not a polynomial. In 1926, Fatou began the dynamical study of such functions. In par...
##### Analysis Seminar
In 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,...

### 2007

##### Statistical Modelling of Social Network Dynamics
Abstract to follow
##### Space-time Modelling Using Independence and Generalised Estimating Equations
Abstract to follow
##### Curves and Graph-Colourings
The chromatic polynomial tells us the number of proper-colourings of a graph, with a given number of colours, say k. For large values of k the number is relatively well-behaved, as the word &#8216;polynom...
##### Boundary behaviour of locally univalent analytic functions
This talk will report on attempts to prove an old conjecture of Gerald MacLane about the boundary behaviour of analytic functions in the unit disc which are locally univalent.
##### Quantum Diagonalization of Hermitean Matrices
To 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...
##### Solitons and defects
Integrable field theories such as the sine-Gordon 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 ...
##### Global bifurcations of the Lorenz manifold (joint work with Eusebius Doedel (Concordia University, Montreal) and Bernd Krauskopf (University of Bristol).
Abstract: The Lorenz system still fascinates many people because of the simplicity of the equations that generate such complicated dynamics on the famous butterfly attractor. The organisation of the d...
##### Euler's Mathematical Legacy
Euler's Mathematical Legacy, Mathematical Institute, 24-29 St Giles, Oxford Jeremy Gray (OU) Leonhard Euler &#8211; the life and work of an 18th-century academician Euler&#8217;s life from 1707 to 1783 almost sp...
##### Mathematics Department - Departmental Research Day
Departmental 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...
##### Euler Afternoon - 13th June 2007
JEREMY GRAY Euler - The Life and Work of an 18th Century academician Euler&#8217;s life from 1707 to 1783 almost spans the 18th century and his career involved him with all the leading learned Academies of ...
##### LOWER PACKING MEASURE AND CARTESIAN PRODUCTS: SOLUTION OF A PROBLEM OF HU AND TAYLOR
Given a cartesian product of two sets , or, more generally, of two separable metric spaces, one may think of the relation of various fractal dimensions of and with those of . Several authors proved,...
##### Modelling aspects of solid tumour growth
In 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...
##### Symmetry and enumeration of self-similar fractals
We describe a general method for enumerating the distinct self-similar sets that arise as attractors of certain families of iterated function systems, using a little group theory to analyse the symmet...
##### Graphical models with edge and vertex symmetries
Undirected 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...
##### Statistics with a human face
Stereo-photogrammetry provides high-resolution data defining the shape of three-dimensional objects. One example of its application is in a collaborative study of the growth of children's faces. The ...
##### Winter Combinatorics Meeting
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...
##### Statisical inference for epidemics among a population of households*
This talk is concerned with a stochastic model for the spread of an SIR (susceptible > infective >removed) epidemic among a closed, finite population that contains several types of individual and is p...
##### Statistical Correlations of Atmospheric Concentrations and Mixing Processes
As part of the SUCCESS project, atmospheric gas concentrations and other variables were measured at 1 s intervals in the upper troposphere during a NASA aircraft flight through and near the anvil of a...

### 2006

##### Maths Christmas Lecture
This 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).
##### Cluster analysis for gene expression data using the clustering-function-based method
DNA 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.
##### 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 non-zero integer of the form m^2+mn-n^2.
##### CPD and Promoting Maths as a Subject
The background to the National Centre will be described briefly with reference to Adrian Smith&#8217;s report. The vision for the National Centre will be explored with particular reference to using collabo...
##### Discrete Tomography of Penrose Model Sets
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...
##### Maths On-Line Project
9.00-9.55 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...
##### Renormalization in quasiperiodically forced systems
We review recent rigorous results on renormalization in a variety of quasiperiodically forced systems. Results include a description of (i) self-similar fluctuations of localized states in the Harper ...
##### Statistics of a Randomly Accelerated Particle, with Applications to Polymers and Granular Matter
Some recent results for the equilibrium and non-equilibrium statistics of a particle which is randomly accelerated by Gaussian white noise are reviewed. Both motion on the half line x > 0 and on the f...
##### Victorian Mathematics
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...
##### Mathematics and Music - the science behind sound and composition
The BBC Radio 4 programme 'In Our Time' on 25 May 2006 will feature a discussion of 'Maths and Music'. Professor Robin Wilson of the Mathematics Department and Gresham Professor of Geometry, will be j...
##### Some open problems on the set of all triangular embeddings of a complete graph
The set of all triangular embeddings of a complete graph $K_n$ in a surface is a set of complicated combinatorial objects the number of which dramatically increases as $n$ increases. We consider some ...
##### Universal singular sets in the calculus of variations
Tonelli'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)...
##### Holomorphic self-maps and Euclidean contractions
Schwarz's Lemma implies that if f is a holomorphic self-map 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...
##### Pisot Substitutions and Model Sets
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, so-called Pisot substitution, one can a...
##### Here's Looking at Euclid, II
Rethinking the elements &#8211; two thousand years of reflections on the foundations of geometry - What is geometry about? The answer given in Euclid&#8217;s /Elements/ is that it is about shapes: lines, triangle...
##### Models for an Outbreak of Avian Influenza in the UK Poultry Flock
A new highly pathogenic form of avian influenza (known as subtype H5N1) first emerged in the Hong Kong poultry markets in 1997. Although large-scale culling of birds controlled this outbreak, it re-em...
##### Potential theory of the farthest point distance function
The farthest point distance function of a non-empty compact set E in the plane is defined by d_{E}(x)=\max_{y\in E} |x-y|. This function arises naturally in the study of sharp inequalities for norms o...
##### Three Talks on Euclid's Elements
June Barrow-Green '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...
##### On the multilinear Kakeya conjecture
In 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...
##### Exponential Asymptotics and Singularities in ODE and PDE's
All are welcome.  Tea and Coffee will be available from 11.50 a.m.
##### Crazy Topology meets Complex Dynamical Systems
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 counter-in...
##### Computation, Construction and Self-Replication
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 self-replicating system...
##### Non-crystallographic reduction of Calogero Moser models
Abstract: Many integrable and exactly solvable models in physics are associated with Lie algebras and their root systems. Calogero-Moser models, which describe systems of r particles with r being the ...
##### Scatter matrices and independent component analysis (ICA)
Assume that a random p-vector s has independent components and that where A is a positive definite p x p matrix and b is a p-vector. Assume that is a random sample from the distribution F of . I...
##### Invariant coordinate selection (ICS): a robust statistical perspective on independent component analysis (ICA)
In many disciplines, independent component analysis (ICA) has become a popular method for analyzing multivariate data. Independent component analysis typically assumes the observe data Yis generated b...
##### Some observations on nonlinear signal processing
Linear 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...

### 2005

##### Liquid crystals, polyhedral geometries and harmonic maps
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...
##### Recombination, genetic drift and mutation in multilocus systems
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 ...
Evaluation isn&#8217;t just about accountability. Evaluation in itself can add value to the project process.
##### Making the best of the worst case
Inference 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...
##### Alternating Sign Matrices
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...
##### The Music of the Primes - Sixth Form Mathematics Event
Why 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 &#8211; the hydrogen and oxygen of the wo...
##### Quasiperiodicity and quantum magnetism
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...
##### Thermodynamic Casimir effect near 3He-4He tricritical point
Summary and further details to follow
##### Some applications of biplot methodology in practice
Principal 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...
##### Exactly solvable models of walks: limit distributions for counting parameters
We discuss several classes of directed square lattice walks, which are discrete counterparts of stochastic objects like Browian motion and Brownian excursions. We derive limit distributions for certai...
##### Existence of receding and advancing contact lines
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....
##### A stochastic model for the dynamics of T cells In the context of an immune defence
Abstract: T cells have to recognize and eliminate foreign invaders. However, there should occur no reaction to the body's own components. Therefore the T cells need the ability to distinguish between ...
##### Turbulence: its stagnation point structure,pair diffusion and particle clustering
Lunchtime lecture
##### Multiple Imputation for Hierarchical and Longitudinal Data
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...
##### Music of the Primes
Prime numbers are the atoms of mathematics. They can&#8217;t be broken down into simpler units &#8211; they are, by definition, indivisible by any other number. And they seem to be fundamental to all numbers:
##### Protein identification using mass spectrometry data and the case of the glass slipper
Mass spectrometry, in particular "MALDI", or matrix-assisted laser desorption/ionisation, is used to identify samples of protein. The observed mass spectrum is compared with theoretical spectra calcu...
##### Classification of E. coli genes based on gene regulation
The 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...
##### Sampling Steiner triple systems (joint work with D. Heap and E. Mendelsohn)
Exhaustive enumeration of Steiner Triple Systems is not feasible, due to the the combinatorial explosion of instances.  The next-best hope is to quickly find a sample that is representative of isomorp...
##### Some very even combinatorial numbers
In 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...
##### Research Student Seminar Day
Talks from various research students about their respective areas of work.
##### Maths, Physics and Philosophy around 1900
2.00 &#8211; 3.00 pm: Jeremy Gray: Poincaré&#8217;s electromagnetic theory and Einstein&#8217;s: physics and philosophy around 1900 Henri Poincaré was widely regarded as one of the leading mathematicians of his day, a...
##### Cultured Mathematics
Mathematics developed from many different cultures over thousands of years. These three mini-lectures (interspersed with tea-breaks) illustrate a range of activities from Egypt, Mesopotamia, Greece,...
##### Loss functions for some awkward estimation problems
Several 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...
##### Regularity in the complex spectra of random circulant Jacobi matrices
Circulant Jacobi matrices are tridiagonal matrices with additional non-zero entries at the right-top and bottom-left corners. This talk present results, obtained jointly with Ilya Goldsheid, which sho...
##### Use of surveillance data to estimate the evolution of the HIV epidemic
Projection of the HIV epidemic has historically raised interesting statistical problems. Novel modelling approaches have been developed to estimate the future burden of the epidemic in the attempt to ...
##### Infinite Dimensional MCMC Methods
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...
##### 100 Years of Marking
In 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 ...
##### Condensation transitions in Non-equilibrium Statistical Mechanics
The talk will begin by reviewing the goals of equilibrium and non-equilibiurm statistical mechanics and in particular will focus on simple models of driven systems where the system reaches a stationar...
##### Hamiltonian chaos acts like a finite energy reservoir:  Accuracy of the Fokker-Planck approximation
Applied Maths Seminar
##### 1 day DREaM meeting
DREaM 2005 Developments in Statistical Methodology: Diagnostics Robustness Exploration and Modelling OVERVIEW: Two DREaM events, reviewing developments in statistical methodology both within and bet...
##### Reaction-dispersal equations
Reaction-dispersal equations
##### Numerical methods for inverse problems
Marco Zanchi is Robert Hasson's PhD student