Mathematics 2017 by The University of Edinburgh

More catalogs by The University of Edinburgh | Mathematics 2017 | 15 pages | 2017-02-14

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Page 9 of Mathematics 2017

14 www.maths.ed.ac.uk the university of edinburgh mathematics postgraduate opportunities 2017 15 www.ed.ac.uk/pg/513 www.ed.ac.uk/pg/514 www.ed.ac.uk/pg/515 www.ed.ac.uk/pg/516 mathematical physics optimization operational research probability stochastic analysis statistics phd 3 yrs ft 6 yrs pt available for uk/eu students phd 3 yrs ft 6 yrs pt available for uk/eu students phd 3 yrs ft 6 yrs pt available for uk/eu students phd 3 yrs ft 6 yrs pt available for uk/eu students mathematical physics is a multidisciplinary research group with close connections with the hodge institute you’ll benefit from being not only in one of the largest mathematics research groups in the uk but also part of the edinburgh mathematical physics group – a joint research collective formed in 1999 with heriot-watt university and now part of the maxwell institute as a member of the operational research and optimization research group you will also be part of the edinburgh research group in optimization ergo a wider association with our group as the focus which includes academics at the universities of dundee and oxford as well as commercial organisations through its regular seminar series this network provides interaction with an array of local and international institutions and industrial bodies interested in the development of operational research and optimization as a result you’ll establish valuable relationships that will help you take your research to its optimum level our probability and stochastic analysis research group operates in what is perhaps the most widely applied area of mathematics the financial sector in particular is a major focus of our research and graduates with the right research experience can make their way into highly rewarding roles in industry as part of our small specialised group you’ll enjoy a research environment that features a balance between theory and practice access to one of the most powerful computing facilities in the uk and strong links with relevant industries statistics is the branch of mathematics that deals with uncertainty and the particular application of ‘making sense of data’ it is a core element of the newly recognised area of data science involving the development of new techniques for analysing data within a rigorous framework the statistics research group explores a wide range of statistical theory and practice applying newly developed theories/techniques in collaboration with researchers in related fields such as informatics biostatistics health ecology and physics research environment research research our research focuses on the following themes stochastic differential equations and stochastic partial differential equations pdes and their applications in nonlinear filtering and stochastic control applications of stochastic analysis of pdes stochastic pdes and stochastic differential equations accelerated numerical methods in particular statistical research spans both the classical and bayesian paradigms particular areas of interest include hierarchical multivariate random effects models wavelets non-parametric regression hidden markov models computationally intensive techniques and extreme value theory the group builds on a strong theoretical base developing new statistical methodology applied to a wide range of different application areas including astrophysics ecology epidemiology health environment agriculture and functional genomics data such as gene expression microarrays research environment our group pursues wide-ranging interests spanning a number of disciplines a central goal is to understand the principles behind quantum gravity through the study of black holes cosmologies and spacetime singularities and via the use of holography and the interplay with quantum gauge field theory through the gauge/gravity correspondence particularly fruitful areas of research are the geometry of higher-dimensional black holes and their near-horizon geometries in the context of higher-dimensional generalisations of general relativity we’re fascinated by the various manifestations of supersymmetry in string theory supergravity and gauge theory this has led us to several classification results on supersymmetric supergravity backgrounds including a recent proof of the homogeneity conjecture in addition we study gauge theoretic moduli spaces using supersymmetry and via integrable systems techniques displaying an interplay between the algebraic geometry of curves and their associated function theory this research has led to computer implementations of various algebro-geometric constructions recently we have made progress in some purely mathematical problems suggested by the gauge/gravity correspondence namely the classification of certain exotic algebraic structures related to superconformal field theories as well as that of certain types of homogeneous supergravity backgrounds valuable connections as well as experiencing a vibrant research environment that brings you into contact with a broad group of your peers your membership of the edinburgh mathematical physics group will give you access to a dynamic programme of seminars lecture courses and conferences there is a dedicated website and blog and a comprehensive range of graduate activities more information http empg.maths.ed.ac.uk english language requirements see page 20 fees and funding for fees see page 20 and for funding information see page 22 contact graduate school administrator email pgresearch@maths.ed.ac.uk our group has as its primary focus the mathematical and computing aspects of optimization core technology in optimization is the solution for large sparse linear and quadratic problems and we’re able to provide world-class expertise in the two main solution methods for these the simplex method and the interior point method we have interests in global optimization decomposition methods parallel computing industrial applications of optimization and stochastic optimization our current researchers are exploring the following areas parameter uncertainty in queuing theory and revenue management algorithms for linear and nonlinear nonconvex smooth optimization problems optimization methods for linear quadratic and nonlinear programming decomposition methods for large-scale nonlinear nonconvex constrained optimization bundle methods warmstarts for interior point methods pooling problems computational techniques for solving large-scale linear programming problems applications of optimization in the chemical oil and electricity industries and efficient gradient methods for large-scale convex and nonconvex optimization problems valuable connections being part of the operational research and optimization research group and ergo will give you opportunities to meet and confer with academics worldwide – we’re currently working with researchers in italy norway china france spain and turkey two of our visiting professors are world leaders in continuous optimization in addition researchers from our group are regularly invited to give addresses and organise workshops at major optimization conferences join international conference committees and sit on assessment panels for european grants we’re also involved in the applications of probability theory mainly to mathematical finance particularly stochastic volatility models equivalent martingale measures and incomplete markets other applications include engineering signal procession and biological sciences valuable connections with the financial sector being the major commercial employer of our graduates our involvement with the scottish financial risk academy established in conjunction with heriot-watt university offers valuable industry links and training you can benefit from short project internships with leading financial institutions visits from leading risk scholars and a series of knowledge exchange courses and events as part of the probability stochastic analysis group you will have access to the training activities provided by migsaa unparalleled computing the probability stochastic analysis group also gives you access to the edinburgh parallel computing centre epcc one of europe’s leading supercomputing facilities epcc enables high-level grid computing data integration and computer simulation and process optimization we offer training in all the relevant programs required to achieve your research aims rewarding career options valuable connections as a research student you will find a wealth of expertise available via our links with theorists and practitioners in related fields for example several members of the statistics group are also faculty fellows of the recently formed alan turing institute of which the university of edinburgh is a founding member in addition the scottish government-backed institute biomathematics and statistics scotland bioss is an associated research institute of the university with its main base in our building it provides access to other researchers with an interest in statistical methodology bioinformatics and process and systems modelling the university of edinburgh is also a member institute of the academy of phd training in statistics apts providing additional residential training in advanced statistical techniques rewarding career options you will gain a qualification that is highly regarded and in high demand this will lead to excellent career prospects in academia industry and with government bodies english language requirements see page 20 many of our graduates take up lucrative positions with high-profile financial companies a large number also pursue careers in academia while others apply their skills in engineering or biological sciences fees and funding english language requirements for fees see page 20 and for funding information see page 22 english language requirements for fees see page 20 and for funding information see page 22 see page 20 fees and funding contact graduate school administrator email pgresearch@maths.ed.ac.uk for fees see page 20 and for funding information see page 22 contact graduate school administrator email pgresearch@maths.ed.ac.uk our involvement with the scottish financial risk academy offers valuable links and training see page 20 fees and funding contact graduate school administrator email pgresearch@maths.ed.ac.uk