{"id":31,"date":"2018-05-25T09:19:28","date_gmt":"2018-05-25T08:19:28","guid":{"rendered":"https:\/\/research.reading.ac.uk\/lms-women-in-maths-2021\/?page_id=31"},"modified":"2022-05-06T11:22:48","modified_gmt":"2022-05-06T10:22:48","slug":"our-publications","status":"publish","type":"page","link":"https:\/\/research.reading.ac.uk\/lms-women-in-maths-2022\/our-publications\/","title":{"rendered":"Invited Speakers and All Speakers’ Abstracts"},"content":{"rendered":"

INVITED SPEAKERS:<\/strong><\/p>\n

\"\"
Renee Hoekzema<\/figcaption><\/figure>\n

Dr Renee Hoekzema <\/strong><\/a>is a Postdoctoral Research Associate at the Mathematical Institute, University of Oxford. Her research spans fundamental problems in topology such as describing manifold invariants, and applications of topology to biomedicine, palaeontology, and physics.<\/span><\/p>\n

Renee<\/span>\u00a0grew up in the Netherlands where she obtained a double MSc degree in mathematics and theoretical physics from Utrecht University. She also completed a minor degree in palaeobiology and continued to do two subsequent DPhil\u2019s at the University of Oxford, one in palaeontology and one in algebraic topology. After this varied education she continued as a postdoctoral researcher in mathematics at the University of Copenhagen and the Max Planck Institute for Mathematics in Bonn, before returning to Oxford as a postdoctoral research associate studying both topology and its applications to bioscience. She holds a Veni Fellowship in the Netherlands combining mathematics and its applications.<\/span><\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\"\"
Hua Lu<\/figcaption><\/figure>\n

Dr Hua Lu<\/strong><\/a> is a research scientist in the British Antarctic Survey (BAS). She researches atmospheric dynamics, temperature trends and extreme weather in the Antarctic, and solar influences on atmospheric circulation. She is currently working on a NERC-funded multi-centre project: North Atlantic Climate System Integrated Study (ACSIS) to investigate influence of the upper atmosphere on changes that occur across the North Atlantic and examine how those changes may affect the UK\u2019s climate and weather.<\/p>\n

Hua comes from a mathematical background and has applied\/developed a range of mathematical tools to tackle a wide variety of environmental problems. She was awarded her PhD in 2000 from the University of New South Wales, Australia where she constructed mathematical models to study wind erosion and dust transfer. She then joined the Commonwealth Scientific and Industrial Research Organization (CSIRO) in Canberra to study catchment-scale soil erosion using digital elevation models, land-surface data, and remote sensing of vegetation. Before join BAS in 2005, she was a visiting fellow of Department of Applied Mathematics and Theoretical Physics at the University of Cambridge where she applied her mathematical skills to model sediment transport.<\/p>\n

 <\/p>\n

 <\/p>\n

\"\"
Celine Maistret<\/figcaption><\/figure>\n

 <\/p>\n

C\u00e9line Maistret<\/strong><\/a> works in Number Theory, mainly studying the arithmetic of abelian varieties, with interest toward computations related to the parity conjecture and the Birch and Swinnerton-Dyer conjecture.\u00a0\u00a0 She received her PhD from the University of Warwick in 2017 and was a research associate at the University of Bristol before joining Boston University as a postdoctoral faculty fellow. Since January 2021, she is a Royal Society Dorothy Hodgkin Fellow at the University of Bristol.<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\"\"
Almut Veraart<\/figcaption><\/figure>\n

Almut Veraart<\/strong><\/a> is Professor of Statistics at Imperial College London, where she is also leading the Quantitative Sciences Research Institute. Her research focuses on developing statistical tools for a wide range of stochastic processes and (spatio-temporal) random fields and on tackling applications in finance, energy systems and environmental sciences.\u00a0 She grew up in Germany and obtained a \u201cDiplom\u201d in Mathematics and Economics and a \u201cDiplom\u201d in Mathematics from the University of Ulm. She also holds an MSc in Applied Statistics and a DPhil in Statistics from the University of Oxford where here studies were supported by a Rhodes Scholarship. She worked as a postdoctoral researcher and later assistant professor at the Centre for Research in Econometric Analysis of Time Series (CREATES) at Aarhus University in Denmark, before being appointed at the Department of Mathematics at Imperial in 2011.\u00a0 \u00a0She held visiting research fellowships at Aarhus University, the University of Oslo, the Wolfgang Pauli Institute in Vienna and at the Isaac Newton Institute for Mathematical Sciences in Cambridge. Her research has been supported by the European Commission, by the Lloyds Register Foundation – Turing Programme on Data Centric Engineering and by EDF.<\/p>\n

\u00a0<\/strong><\/p>\n

\u00a0ABSTRACTS<\/strong><\/span><\/p>\n

Invited Talk: Almut Veraart<\/span><\/b><\/span><\/a>,<\/b><\/span> Professor of Statistics, Imperial College London<\/span>\u00a0<\/span><\/span><\/p>\n

Title: <\/b><\/span>A short introduction to Ambit Stochastics<\/i><\/span>\u00a0<\/span><\/span><\/p>\n

Abstract: <\/b><\/span>In this talk I am going to describe my journey into academia and give a short, non-technical introduction to the area of Ambit Stochastics.<\/span>\u00a0<\/span>
\nThe term Ambit Stochastics indicates a broad field of mathematical research with applications in a wide range of subject areas belonging to natural science, economics, and biology\/medicine. Key examples of applications are to the modelling of turbulent flows, the modelling of financial energy markets and the modelling of biological growth. Ambit Stochastics deals with the study of random objects whose properties depend on time and spatial position (or any other type of variables). The variability in space and time is controlled through specific regions in space and time, the so-called ambit sets, and encompasses additional basic stochastic variation, the so-called intermittency\/volatility. This approach is very general and comprises the basic idea of a causality cone in the past that is fundamental in physics. Accordingly, Ambit Stochastics has the potential to be applied in many fields of sciences where the variability at a certain point can be partly traced back to what happened in a region associated to this point. The initialising example for the application of Ambit Stochastics to real phenomena is turbulence. Over the past few years, a unifying modelling framework has been developed that is able to capture the main stylised features of turbulent flows. The mathematical research in this direction has matured to a stage where more extensive data acquisition, analysis and comparison is called for. This constitutes an exciting interplay between theory and experiment, typical for the development of the whole field of Ambit Stochastics.<\/span>\u00a0<\/span><\/span><\/p>\n

Invited Talk:<\/span><\/b><\/span> C\u00e9line Maistret<\/span><\/b><\/span><\/a>, Royal Society Dorothy Hodgkin Fellow, School of Maths, University of Bristol<\/span><\/span>\u00a0<\/span><\/span><\/span><\/p>\n

Title: <\/span><\/b><\/span>Elliptic curves and the Birch and Swinnerton-Dyer conjecture<\/span><\/i><\/span>\u00a0<\/span><\/span><\/span><\/p>\n

Abstract:\u00a0<\/span><\/b><\/span> Number theory is the branch of mathematics concerned with studying numbers and solving equations. This talk will address the latter by introducing a particular set of equations which define objects called elliptic curves. Solving these equations has proven extremely difficult due to their complex mathematical structure. The quest for their solutions started over a century ago and reached a milestone in the 1960\u2019s when Birch and Swinnerton-Dyer proposed a formula to find all their solutions. In this talk, I will present the Birch and Swinnerton-Dyer conjecture and explain how it allows to find all solutions.\u202f<\/span><\/span>\u00a0<\/span><\/span><\/span><\/p>\n

\u00a0<\/span><\/p>\n

Invited Talk: Hua Lu<\/span><\/b><\/span><\/a>, Research Scientist (Atmosphere Ice and Climate), British Antarctic Survey, Cambridge\u00a0<\/span>\u00a0<\/span><\/span><\/p>\n

Title:<\/b><\/span> How Maths Helped One to Become a Polar Researcher<\/i><\/span>\u00a0<\/span><\/span><\/p>\n

Abstract:<\/b><\/span> In this talk, I shall take you with me to go through my journey from a mathematician to a polar researcher. I will share with you the fun and cool moments being a research mathematician who uses equations, data, and statistics to tackle real world problems. I shall explain how maths has helped me to overcome challenges of having to move from one research field to another. I shall give you examples of why maths has formed the corner stone of my multi-disciplinary research. Because the environment topics that we face now-a-days so complex, dispersed and infused into various other disciplinary courses, I shall use my own experiences to demonstrate the value of working with people from different background and with different research expertise to ensure successful collaboration and project delivery.\u00a0<\/span><\/span><\/p>\n

Invited Talk: Renee Hoekzema<\/strong><\/a>, Postdoctoral Researcher, Mathematical Institute, University of Oxford\u00a0<\/span><\/p>\n

Title<\/strong>: Cutting and pasting in the 21<\/em>st<\/sup><\/em>\u202fcentury<\/em>\u00a0<\/span><\/p>\n

Abstract<\/strong>: Scissor\u2019s congruence is a classical setup in mathematics that featured in one of Hilbert\u2019s problems in 1900. It asks whether two polytopes can be obtained from one another through a process of cutting and pasting. In the 1970s this question was posed instead for smooth manifolds: which manifolds A and B can be related to one another by cutting A into pieces and gluing them back together to get B? Manifold cut-and-paste invariants describe when this is possible. In this talk I introduce this these ideas and describe recent work that \u2018upgrades\u2019 cut-and-paste invariants to spaces using the machinery from algebraic K-theory. This is joint work with Mona Merling, Laura Murray, Carmen Rovi and Julia Semikina.\u00a0<\/span><\/p>\n

 <\/p>\n

EARLY CAREER SPEAKERS\u2019 ABSTRACTS<\/strong><\/p>\n

Swinda Falkena, University of Reading<\/strong>: A Bayesian Approach to Regime Assignment<\/em><\/p>\n

Clustering methods are widely used to separate datasets into subsets which are similar within, but different between the different subsets or clusters. For example, they can split a dataset of pictures of cats and dogs in one cluster with cat pictures and one with dog pictures. Assigning data to a cluster is not always as straightforward, and for some applications, e.g. those which are subject to noise, a probabilistic cluster assignment might be preferable over a hard one. In this talk I will discuss a Bayesian approach to cluster assignment, applied to atmospheric circulation regimes over the wintertime Euro-Atlantic sector.<\/p>\n

 <\/p>\n

Lea Oljaca, University of Exeter<\/strong>: Measure and Statistical Attractors for nonautonomous Dynamical Systems<\/em><\/p>\n

Various inequivalent notions of attraction for autonomous dynamical systems have been proposed, each of them useful to understand specific aspects of attraction.\u00a0 Milnor’s notion of a \\emph{measure} attractor considers invariant sets with positive measure basin of attraction, while Ilyashenko’s even weaker notion of a \\emph{statistical} attractor considers a positive measure points that approach the invariant set in terms of averages. In this paper we propose generalisations of these notions to nonautonomous evolution processes in continuous time.<\/p>\n

We demonstrate that weak pullback and forward measure and statistical attractors can be defined in an analogous manner and relate these to the respective notions when an autonomous system is considered as nonautonomous one.\u00a0 We prove that\u00a0 an autonomous statistical attractor is a pullback measure attractor when considered as a nonautonomies set.<\/p>\n

Finally, for the particular case of an asymptotically autonomous system (where there are autonomous future and past limit systems) we relate pullback (respectively forward) attractors the past (resp. future) limit systems.<\/p>\n

 <\/p>\n

Farhana Pramy, The Open University<\/strong>: Properties of the Eigenfunctions of the SFS Operator with \\alpha=0<\/em><\/p>\n

I have been working on the Stretch-Fold-Shear (SFS) operator S_\\alpha which is a functional linear operator acting on complex-valued functions of a real variable x on some domain containing [-1,\\ 1] in \\mathbb{R}. It arises from a stylized model in kinematic dynamo theory. When the shear parameter \\alpha is zero, the spectrum of S_\\alpha can be determined exactly. Using generating function methods, properties of the eigenfunctions of S_\\alpha can be obtained in the case \\alpha=0. These eigenfunctions are related to the Bernoulli polynomials and have similar properties. In the talk, I shall show how the generating function gives the eigenfunctions, show how they are related to the classical Bernoulli polynomials and give some of the properties of the eigenfunctions.<\/p>\n

 <\/p>\n

Silvia Rognone, Queen Mary University of London<\/strong>: Characterisation of structures emerging from Random Colouring Processes on a Spatial Graph.<\/em><\/p>\n

Abstract: The use of labels to represent physical quantities on graphs is tied up with the need to understand and quantify the presence of heterogeneity in the distribution of the variable of interest. In the case of spatial graphs, the presence of spatial constraints could lead to the emergence of structures when a specific colouring process is implemented. In this work, we characterise and explore spatial structures, i.e. clusters of single colour, that emerged from a simple random colouring process P on a 2D lattice. We provide a dynamical random growth model to reproduce the same ensemble of P and we measure some structural quantities of these spatial motifs, making a comparison with a well-known growth model, the EGM, used as control. Then, we show that the only measure of the exit time, i.e. the time a random walk needs to jump out from a cluster, can capture the same structural information, proposing the exit time as a possible tool for the characterisation of these structures. The study of such motifs is crucial to assign a statistical significance to the measured quantities when a colouring process is implemented on spatial graphs.<\/p>\n

 <\/p>\n

Erin Russell, University of Bristol<\/strong>: Playing with Fire: The Necessary Evil of Self-organized Criticality<\/em><\/p>\n

Consider a mean field\u00a0 Erd\u0151s-R\u00e9nyi random digraph process on n vertices. Let each possible directed edge arrive with rate 1\/2n. Without opposition, this process is guaranteed to result in the n-complete graph. Hence we introduce a Poisson rain of \u201clightning strikes\u201d to each vertex with rate \u03bb(n) which propagates across its out-graph, burning all edges of an affected vertex. Subsequently, the system continues to fluctuate to no end in a battle between<\/p>\n

creation and destruction.<\/p>\n

 <\/p>\n

EARLY CAREER POSTER ABSTRACTS:<\/strong><\/p>\n

Ruth Chapman, University of Exeter<\/strong>: Stochastic data adapted Atlantic Meridional Overturning Circulation box models<\/em><\/p>\n

The Atlantic Meridional overturning Circulation is responsible for the comparatively temperate climate found in western Europe, and it\u2019s previous collapse thought to have triggered glacial periods seen in the paleo data. This is a system that has multiple stable states- referred to as \u2018on\u2019 when the circulation is strong as in the current climate, and \u2018off\u2019 when it is much weaker. The AMOC has tipping points between these states. Tipping points occur when a rapid shift in dynamics happens in response to a relatively small change in a parameter. Making future projections of AMOC response to the climate is essential for avoiding any anthropogenic caused tipping, but it is computationally expensive to calculate the full hysteresis for different scenarios. This work looks at a conceptual box model of the AMOC which is easy to understand and cheap to implement. Previous work has considered bifurcation and rate-dependent tipping. This current work looks to estimate a realistic amount of noise from various GCM data sets and apply this to the model. This allows noise tipping to be studied, alongside a wide variety of different hosing functions to force the model. Ongoing works is looking to calibrate the model to further GCMs, and estimate escape times and transition rates between the stable states.<\/p>\n

 <\/p>\n

Lily Greig, University of Reading: <\/strong>Comparison of a simplified ERSEM to a full complexity model for the North-West European Shelf<\/em><\/p>\n

During this 8-week summer project model complexity of the European Regional Seas Ecosystem Model\u00a0(ERSEM)\u00a0was investigated \u00a0by\u00a0assessing\u00a0the\u00a0performance\u00a0of\u00a0 a\u00a0simplified\u00a0version\u00a0of ERSEM coupled to Met Office operational models of the North West European Shelf.\u00a0Various model validation techniques were explored including target diagrams, difference plots and EOFs. It was found that the simplified model\u00a0performs\u00a0well overall, but that\u00a0performance varies strongly according to geographical region.<\/p>\n

 <\/p>\n

Yu Kuang, non-affiliated<\/strong>: The Hermitian-Galois Module Structure of the Square Root<\/em><\/p>\n

About thirty years ago, Erez initiated the study of the Hermitian-Galois module structure of the square root of the inverse different of finite Galois extensions of number fields. More recently, Bley, Burns and Hahn used relative algebraic K-theory methods to formulate a precise conjectural link between the (second Adams-operator twisted) Galois-Gauss sums of weakly ramified Artin characters and the square root of the inverse different of finite, odd degree, Galois extensions of number fields. We provide concrete new evidence for this conjecture in the setting of extensions of odd prime-power degree by using a refined version of a well-known result of Ullom.<\/p>\n

 <\/p>\n

Evelyn Lira-Torres, Queen Mary University of London<\/strong>: Quantum Gravity and Riemannian Geometry of the Fuzzy Sphere<\/em><\/p>\n

We study the quantum gravity and Riemannian geometry of the fuzzy sphere defined as the angular momentum algebra [x_i , x_ j] = 2\u0131_{\u03bbp}\\epsilon_{i jk} x_k modulo setting \\Sigma _i x^2_i to a constant, using a recently introduced 3D rotationally invariant differential structure. Metrics are given<\/p>\n

by symmetric 3 \u00d7 3 matrices g and we show that for each metric there is a unique quantum Levi-Civita connection with constant coefficients, with scalar curvature. Later, We construct a Connes spectral triple or \u2018Dirac operator\u2019 on the non-reduced fuzzy sphere C_\u03bb[S^2] as realised using quantum Riemannian geometry with a central quantum metric g of Euclidean signature and its associated quantum Levi-Civita connection discused before. The Dirac operator is characterised uniquely up to unitary equivalence within our quantum Riemannian geometric setting and an assumption that the spinor bundle is<\/p>\n

trivial and rank 2 with a central basis.<\/p>\n

 <\/p>\n

Marica Minucci, Queen Mary University of London<\/strong>: The Maxwell-Scalar Field System Near Spatial Infinity<\/em><\/p>\n

We make use of Friedrich’s representation of spatial infinity to study asymptotic expansions of the Maxwell-scalar field system near spatial infinity. The main objective of this analysis is to understand the effects of the non-linearities of this system on the regularity of solutions and polyhomogeneous expansions at null infinity and, in particular, at the critical sets where null infinity touches spatial infinity. The main outcome from our analysis is that the nonlinear interaction makes both fields more singular than what is seen when the fields are non-interacting. In particular, we find a whole new class of logarithmic terms in the asymptotic expansions which depend on the coupling constant between the Maxwell and scalar fields.<\/p>\n

 <\/p>\n

Cathie Wells, University of Reading<\/strong>: Re-routing Transatlantic Flights to reduce CO2 Emissions<\/em><\/p>\n

With full satellite coverage of transatlantic flight routes now a reality, situational awareness is no longer a limiting factor in planning trajectories. This extra freedom allows us to consider moving from the current Organised Track System to Trajectory Based Operations, in order to limit fuel use and thus reduce emissions. Here we first compare time minimal trajectories with the Organised Track System. Then we look at the importance of airspeed in modelling fixed-time, fuel minimal flights.<\/p>\n

In each case we apply different approaches to Optimal Control Theory.<\/p>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

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