MATHS1

Academic Staff Dr Jonathan Gillard Professor Nikolai Leonenko Dr A Pepelyshev Professor Anatoly Zhigljavsky

PhD students Gareth Davies Alex Kerss Tomos Phillips

Several staff within the group are members of the European Working Group on Operational Research Applied to Health Services (ORAHS), and members of the Steering Group of the EPSRC funded Network in Healthcare Modelling and Simulation (MASHnet).

Current and recent projects include: Forecasting of ambulance demand, workforce rostering and deployment of vehicles. Game theoretic models for EMS-ED interface. Modelling of hospital bed capacities, workforce and waiting lists Intensive care provision. Operating theatre scheduling. Emergency unit reconfiguration. Forecasting hospital admissions linked to weather events (with the Met Office). Research Into Global Healthcare Tools – creating a toolkit of techniques for NHS service delivery. Workforce planning model for anaesthetists. Modelling treatment effects in the HIV/AIDS Epidemic as part of a European Union concerted action. Development of data mining and decision tree tools for assisting the NHS Information Centre with the redesign of Healthcare Resource Groups (HRGs). Modelling the future demand for residential care in an ageing population. Novel research on incorporating human behavioural factors in simulation models with application to breast cancer screening. Facility-location modelling. Modelling nurse skill-mix needs for inpatient wards and in the community. Research on screening for Chlamydia.

‘microstructured'’

2012 3 - 7 September 2012 Complex patterns in wave functions - drums, graphs, and disorder The Kavli Royal Society International Centre at Chicheley Hall Organized by Sven Gnutzmann (Nottingham)  and Uzy Smilansky (WIS Israel and Cardiff) LMS Regional Meeting and Workshop: Quantum Probabilistic Symmetries Aberystwyth University Scientific Advisory Committee David Evans (Cardiff), Martin Lindsay (Lancaster), Gilles Pisier (Paris and Texas A&M) and  Dan Voiculescu  (Berkeley) 23 July - 17th August 2012 Spectral Theory of Relativistic Operators Isaac Newton Institute for Mathematical Sciences, Cambridge Organized by B.M. Brown (Cardiff), M.J. Esteban (CEREMADE), K-M. Schmidt (Cardiff), H. Siedentop (Munich) 18 - 22 - July 2012 XXth Oporto Meeting on Geometry, Topology and Physics Noncommutative Geometry and Conformal Field Theory, Oporto University, Portugal Organized by C Herdeiro (CFP and Univ. of Aveiro), D. E. Evans (Cardiff) - Chairman, J.N. Tavares (CMUP and Univ. of Porto), J. Mourao (CAMGSD and IST Instituto Superior Tecnico, Lisbon), M. Mackaay (CAMGSD and Univ. of the Algarvel), M. Costa (CFP and Univ. of Porto), P. Pinto (CAMGSD and IST), R. Picken (CAMGSD and IST) 2 - 3 April 2012 6th MOPNet Meeting : University Of Bath

2013 17-19 December 2013 Workshop on Combinatorial Physics Organized by Dr. Roger Behrend. 16-18 December 2013 Optimal Decisions in Statistics and Data Analysis Organized by Prof. Anatoly Zhigljavsky and Dr. Jonathan Gillard 18 October 2013 Categorically Cardiff: Derived Categories and Algebraic Geometry Organized by Timothy Logvinenko 17 October 2013 COW Seminar Organized by Timothy Logvinenko 1-2 July 2013 Spectral Analysis and Differential Equations 13 - 15 May 2013 LANCS International Workshop on Discrete and Nonlinear Optimisation 16 April 2013 LSW Frontiers Distinguished Lecture Sir Vaughan Jones FRS (Vanderbilt) 15th March 2013 COW Algebraic Geometry Seminar Organized by Timothy Logvinenko 15th February 2013 Modern Trends in Markov Processes and Queueing Theory Organized by Jeff Griffiths and Nikolai Leonenko 21 January 2013 SIAM Chapter Day 7 - 10 January 2013 Dissipative Spectral Theory Organized by Marco Marletta and  Kirill Cherednichenko  

2011 20 September - 1 October 2011 Rigorous Quantum Field Theory in the LHC era Erwin Schrödinger International Institute for Mathematical Physics (ESI) Organized by C. Jäkel (Cardiff), C. Kopper (Ecole Polytechnique), G. Lechner (Vienna) 12 - 13 September 2011 5th Mopnet Meeting : University College, London 11 - 14 September 2011 Bath-Berlin Workshop "Phase boundaries and random polymers" Organisers: Nicolas Dirr (Cardiff), Peter Mörters (Bath) and Max von Renesse (TU Berlin) 27 - 28 April 2011 4th MOPNet Meeting : Manchester Institute for the Mathematical Sciences 25 - 30 April 2011 EU-NCG 4th Annual Meeting Simion Stoilow Institute of Mathematics of the Romanian Academy (IMAR) Bucharest, Romania Organized by D.E. Evans (Cardiff), R. Nest (Copenhagen), R Purice (IMAR), S Stratila (IMAR) 2-3 May 2011 WIMCS workshop on Representations of Braid and Symmetric Groups - New Approaches  Aberystwyth University  Organized by David Evans (Cardiff), Rolf Gohm (Aberystwyth) and Claus Köstler (Aberystwyth) See Also: http://users.aber.ac.uk/cck/wicms_may2011_aber/index.html  

2012 5 - 7 September 2012 Stochastic Methods and Nonlinear PDEs Conference 4 September 2012 South West PDE Day Confirmed Speakers: Issac Vikram Chenchiah (Bristol), Roger Moser (Bath), Matteo Novaga (Padova), Kewei Zhang 28 June 2012 Institute of Non-Newtonian Fluid Mechanics Annual Public Lecture Speaker: Roland Keunings (UCL, Belgium) 8 - 11 May 2012 WIMCS-Leverhulme Conference on Spectral Theory 24 April 2012 Inverse Problems In Neuroimaging Conference 18 April 2012 LSW Frontiers Distinguished Lecture Isaac Newton Institute 20th Anniversary Lecture Alain Connes (College de France, IHES and Vanderbilt). Click here for more information. 17 April 2012 LSW Frontiers Distinguished Lecture Lyn Evans (CERN). Click here for more information. 16 - 20 April 2012 INI-WIMCS Meeting on Noncommutative Geometry  

20 - 22 September 2010 3rd MOPNet Meeting : Edinburgh Conference Centre at Heriot-Watt University29 - 30 March 2010 2nd MOPnet Meeting : Department of Mechanical Materials and Manufacturing Engineering at Nottingham University 1 March - 30 April 2010 Quantum field theory on curved space-times and curved target-spaces Erwin Schrödinger International Institute for Mathematical Physics (ESI) Organized by M. Gaberdiel (ETH Zurich), S. Hollands (Cardiff), V. Schomerus (Hamburg) J. Yngvason (ESI Vienna) Included a workshop (March 22 - 26) 26 February 2010 WIMCS Mathematical Physics Colloquium Swansea University Organized by David Evans (Cardiff) Speakers: Marcos Marino (Geneva) and Richard Thomas (Imperial)

2008 16 – 20 June 2008 EU-NCG 1st Annual Meeting School of Theoretical Physics, Dublin Institute for Advanced Studies (DIAS) Scientific Advisory Committee: R. Dijkgraaf (Amsterdam), D.E. Evans (Cardiff), A. Jaffe (Harvard), R. Nest (Copenhagen), W. Nahm (DIAS Dublin), D. O'Connor, Dublin.     2007 8 January - 29 June 2007 Analysis on Graphs and its Applications Isaac Newton Institute for Mathematical Sciences, Cambridge Organised by :  B..M Brown (Cardiff),  P. Exner (Czech Academy of Sciences),  P. Kuchment (Texas), T Sunada (Meiji)

2009 28 September - 2 October 2009 EU-NCG 2nd Annual Meeting and Mid-Term Review Mathematics Institute, Copenhagen University Organized by E. Christensen (Copenhagen), S. Eilers (Copenhagen), D. E. Evans (Cardiff), R Nest (Copenhagen) 14 - 15 September 2009 1st MOPnet Meeting : Department of Mathematics at Reading University  

2011 24 – 19 July 2011 ORAHS 2011 OR Informing National Health Policy 1 July 2011 WIMCS Mathematical Physics Colloquium Speakers: Susanne Danz (Oxford), Terry Gannon (Edmonton), Grigory Garkusha (Swansea) 9 - 10 May 2011 EU-NCG WIMCS workshop on Higher Gauge Theory, TQFT's and Categorification. Speakers include: Aristide Baratin (Orsay, Paris), Benjamin Bahr (Cambridge), Alexander Kahle (Göttingen), Jeffrey Morton (Lisbon), Urs Schreiber (Utrecht), Jamie Vicary (Oxford), Konrad Waldorf (Regensburg), Christoph Wockel (Hamburg) 20 - 21 April 2011 EU-NCG WIMCS workshop on Quantum Field Theory Speakers: Henning Bostelmann (York), Romeo Brunetti (Trento), Detlev Buchholz (Göttingen), Christian Jäkel (Cardiff), Gandalf Lechner (Vienna), Florian Robl (Cardiff) 4-8 April 2011 European Study Group with Industry 80 17 January 2011 LSW Frontiers Distinguished LectureSpeaker: Sir Michael Atiyah (Edinburgh)  

2010 20 – 22 December WIMCS Annual Meeting 18 - 20 December New Trends in Spectral Theory and Applications 28 June LSW Frontiers Distinguished Lecture Speaker: Dan-Virgil Voiculescu (Berkeley) 28 June - 2 July EU-NCG 3rd Annual Meeting Speakers include: Iakovos Androulidakis (Göttingen), Dorothea Bahns (Göttingen), Moulay-Tahar Benameur (Metz), Sebastiano Carpi (Rome), Kenny De Commer (Rome), Bergfinnur Durhuus (Copenhagen), Robin Hillier (Rome), Stefan Hollands (Cardiff), Tommaso Isola (Rome), Yasuyuki Kawahigashi (Tokyo), Amin Malik (Oslo), Jouko Mickelsson (Helsinki), Denjoe O'Connor (DIAS), Thomas Schucker (Provence), Wojciech Szymanski (Odense), Otgonbayar Uuye (Copenhagen), André Verbeure (K.U. Leuven), Dan Voiculescu (Berkeley), Mihaly Weiner (Rome), Jakob Yngvason (ESI, Vienna), Laszlo Zsido (Rome). 21-25 June

LMS Regional Meeting and Workshop on Operator Algebras and Physics Principal Speaker: Constantin Teleman (Berkeley) who is giving a series of talks on Two Dimensional Topological Quantum Field Theories and Gauge Theories. The first talk by Constantin Teleman will be in the LMS regional meeting on the first afternoon, Monday 21 June which is embedded in the five-day workshop. The other speaker in the regional meeting on the Monday afternoon will be Werner Nahm (Dublin). Speakers include Terry Gannon (Alberta), Johannes Kellendonk (Lyon), Michael Müger (Nijmegen), Andreas Recknagel (King's), Karl-Henning Rehren (Göttingen), Richard Szabo (Heriot-Watt), Jean-Louis Tu (Metz), Gerard Watts (King's) 17-21 May Nigel Higson Lectures The Baum-Connes Conjecture and Group Representations. This includes a Spitalfields Day on 17 May with speakers Terry Gannon (Alberta) and Nigel Higson. Speaker: Nigel Higson (Penn State) 5 May Multifractionality and Multifractality and Their Applications TThe Workshop was sponsored by a grant form European Commu

nities PIRSES-GA-2008-230804 (Marie Curie) "Multi-parameter Multi-fractional Brownian Motion" for collaboration between Cardiff University and CNRS, Nancy (France), Kyiv National Taras Shevchenko University (Ukraine) and Bar Ilan University (Israel). Speakers: Prof. Y. Mishura (Kyiv University), Prof. N. Leonenko (Cardiff University), Dr.L.Sakhno (Kyiv University), Dr.G.Shevchenko (Kyiv University), Mr A.Ralchenko (Kyiv University).   15 April COW Seminar Speakers: Katrin Wendland (Augsburg) and Sven Meinhardt (Oxford) 15 February - 5 March Period on Planar Algebras and Physics Speakers: JulienBichon (Clermont), Stephen Bigelow (UCSB), Richard Burstein (Vanderbilt), Ben Davison (Oxford), Jürgen Fuchs (Karlstad), Shamindra Ghosh (KU Leuven), Pinhas Grossman (Cardiff), Ved Gupta (Leuven), Amihay Hanany (Imperial), Yang-Hui He (Oxford), PawelKasprzak (Copenhagen), Alastair King (Bath), Mathew Pugh (Cardiff), Alex Quintero-Velez (Glasgow), Sven Raum (Leuven), Peter West (King's College, London) 13-14 January 2010 LANCS Workshop on Heuristic Understanding  

2009 3 – 4 September Lattice Boltzmann Method Workshop 29 June– 1 July Spectral Theory, Quantum Chaos and Random Matrices Organized by: Michael Levitin (Cardiff) and Uzy Smilansky (WIS Israel and Cardiff). 15 – 17 April AERC 2009 5th Annual European Rheology Conference 30-31 March Inaugural Meeting of MOPNET 19 March 125th Anniversary Cardiff Distinguished Lecture Speaker: Percy Deift (Courant Institute) 11 February Analysis Cluster Workshop 22 January Operator Algebras Seminar Speakers: Simon Wassermann (Glasgow), Wilhelm Winter (Nottingham), Rolf Gohm (Aberystwyth). 13 and 14 January WIMCS Mathematical Physics Lectures Speaker: Professor Tim Porter (Bangor, Wales). Title: Categorification and bundles

2008 26 – 27 August Non-classical, boundary and localisation phenomena in mathematical homogenisation, sponsored by LMS and WIMCS 12 – 18 July Workshop on Computation and Analytic Problems in Spectral Theory Gregynog 30 April Workshop on Mathematical Analysis and Modern Applications, Spaces and Operators on Bad Domains in Rn 30 January Workshop on Mathematical Analysis and Modern Applications   2007 25 – 26 September Perturbed periodic PDEs, problems with singular boundaries, and their numerical aspects, sponsored by LMS.

29 October 2014 Speaker: Gareth Davies. Title: Introduction to Survey Sampling. Abstract: Sampling theory is concerned with the problem of selecting samples that, when given a characteristic of interest, is representative of a “target’’ population. Survey sampling specifically considers sampling theory in the case where surveys or questionnaires are used to retrieve data from the sample. Various survey sampling techniques will be introduced, including simple random sampling, stratified sampling and cluster sampling. Application of these techniques in practice shall also be considered. 12 November 2014 Speaker: Xander Ramage. Title: Introduction to Fluid Dynamics. Abstract: The Navier-Stokes equations, which describe the motion of fluid, will be solved in some cases for which analytic solutions exist (such as flow through a pipe or channel). The Reynolds number will be introduced and its significance discussed. If time permits, the Blasius Boundary layer describing flow over a flat plate will be discussed as an example of a flow configuration without analytic solution.

10 December 2014 Speaker: Stephen Moore. Title: An Introduction to Group Theory Abstract: Group theory has been a major area of research in pure mathematics for nearly 200 years, and has been used in a wide range of areas from Galois' proof that there is no quintic equation, to invariants for topological spaces and forming the standard model of particle physics. The talk will introduce the basic definitions and properties of groups, then briefly cover major areas such as the classification of finite groups, group actions, representations and Lie groups.

4 February 2015 Speaker: Ross MacKenzie. Title: Modelling large physical systems via Modelica Abstract: The talk will give an introduction to component based modelling and the Modelica language. There will be many physical examples shown and challenges that face the approach will be highlighted.

18 February 2015 Speaker: Scott Morgan. Title: An Introduction to Hydrodynamic Stability Theory Abstract: Hydrodynamic stability theory aims to understand the evolution of small disturbances in fluid flows over time. An unstable flow when subjected to a small perturbation will develop into an undesirable turbulent state. Turbulence arises in many engineering applications with the most obvious being air travel. Even a small delay in laminar to turbulent transition can have major positive effects on fuel efficiency and cost. Here we will cover basic ideas of what it means for a flow to be stable or unstable and introduce the defining equation for instability - the Orr-Sommerfeld equation. Some well-established results will be presented and some ideas about how turbulence may be delayed in practice will be discussed. Time permitting, we will briefly discuss some numerical techniques used to solve the eigenvalue problem associated with the Orr-Sommerfeld equation

25 February 2015 Speaker: Peter Embacher. Title: Elementary Properties of Gamma-Convergence Abstract: Gamma-convergence is a tool particularly useful to derive meaningful limit problems in the context of calculus of variations. The goal of the talk is to introduce the basic concept of Gamma-convergence, giving the abstract definition as well as examples to illustrate the main properties and sketch the scope of applications. The most characteristic features are formulated as theorems and proved. 4 March 2015 Speaker: Jason Young. Title: Simulating a Queue in Python Abstract: Simulation is useful in a wide range of fields in Mathematics. This talk will give a brief overview into the algorithms behind simulations and how they can be applied specifically to a single server queueing problem. The talk will conclude with an overview of the code which will simulate a simple queue (in Python) and a quick demonstration of the software verifying theoretical results. 11 March 2015 Speaker: Matthew Lewis. Title: Introduction to Crytography Abstract: TBC

18 March 2015 Speaker: Alex Mackay. Title: An introduction to Special Relativity Abstract: What would the world look like if you were riding alongside a light beam? The simple thought experiment that lead to one of the most important advancements in human history. Einstein's revolutionary papers in 1905 unlocked a whole ocean of knowledge that we now take for granted including the famous special theory of relativity. The concept of relativity i.e. the absence of absolute motion has been understood since the days of Galileo. However this concept, when formulated by Newtonian classical mechanics clashes with other fundamental principles in physics, namely Maxwell's Theory of electromagnetism. Who was wrong: Newton or Maxwell? Einstein set out to correct the issue in his special theory, and in doing so has changed the way we perceive space and time forever. 25 March 2015 Speaker: Freddy Symons. Title: TBC Abstract: TBC 29 April 2015 Speaker: James Evans. Title: What is Homogenisation? Abstract: Abstract: Homogenisation is a theory which has been developing in a number of directions for well over four decades and captures well the behaviour of a class of problems in elasticity, electromagnetism and fluid mechanics. In this talk, I will discuss briefly the need for homogenisation methods in the analysis of partial differential equations with coefficients which depend on a small parameter. A simple illustrative example will be given to try and motivate the theory as well as an overview of the variety of problems for which this theory can be applied.