Mathematics 2017 by The University of Edinburgh

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


Page 8 of Mathematics 2017

12 the university of edinburgh mathematics postgraduate opportunities 2017 13 analysis applied computational mathematics geometry topology mathematical analysis its applications 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 4 yrs ft our analysis research group is one of the uk’s top centres for research in the field especially in linear and nonlinear pdes and harmonic analysis your passion for mathematical analysis will be rewarded by contact with and supervision by world leading academic staff a rich seminar and working group programme and ultimately a qualification that boasts an internationally respected pedigree the applied and computational mathematics research group combines expertise in dynamics classical and statistical mechanics and advanced scientific computing techniques to develop techniques for applications such as molecular dynamics geophysical and astrophysical fluid dynamics and optoelectronics our geometry and topology research group has strong links with both the algebra number theory and the mathematical physics research groups as you can find at our common home in the hodge institute http this programme is associated with the maxwell institute graduate school in analysis and its applications migsaa a centre for doctoral training that provides high quality instruction in analysis and the applications of analysis to a wide range of areas you’ll find this invaluable as opportunities to discuss your work and expand your thinking abound working within one of the largest mathematics groups in the uk you’ll be completing your degree in an environment that hums with a busy graduate school life and you’ll have the chance to make your mark in seminars workshops clubs and outings migsaa has been made possible by a grant from the uk’s engineering and physical sciences research council and the scottish funding council the programme is delivered in collaboration with heriot-watt university research we have a unique focus on the interplay of classical euclidean harmonic analysis with the modern theory of pdes we study harmonic analytic ideas in number theory geometric measure theory combinatorics and discrete geometry and geometrically invariant inequalities and we investigate applications of harmonic analysis to elliptic and parabolic pdes with rough coefficients and/or on rough domains we also study nonlinear hyperbolic dispersive and kinetic equations and systems arising in the classical field theories of mathematical physics mathematical biology and in connection with black holes mathematical general relativity free-boundary problems optimal mass transportation and monge-ampère equations in nonlinear elasticity and other continuum theories and well-posedness for supercritical initial value problems with noisy initial data additional resources in addition to the school’s excellent facilities as part of the analysis group you will have access to the activities of the canpde and the migsaa through seminars mini-symposia and training courses these stimulate and support development of research in analysis and theoretical nonlinear pdes 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 if you have a passion for applied mathematics our facilities people and environment will help you develop your research ideas to their full potential you’ll have access to edinburgh parallel computing centre epcc one of europe’s leading supercomputing centres and membership of the centre for numerical analysis and intelligent software nais research environment our research interests are varied and include astronomical fluid dynamics multiscale modelling and analysis molecular dynamics mathematical meteorology hamiltonian dynamics nonlinear waves in fluids and solids optoelectronics signal processing mathematical biology exponential asymptotics and homogenisation theory valuable connections having access to a broad community of researchers means that your work will be well distributed and recognised through the nais collaboration you’ll create strong networks with researchers across scotland and have access to substantial training as well as visitor and workshop programmes in numerical analysis computer science and high-performance computing software development as part of the applied computational mathematics group you will have access to the training activities provided by migsaa strong links also exist with life scientists chiefly through synthsys synthetic and systems biology edinburgh a multidisciplinary edinburgh-based centre whose mission is the analysis and design of biochemical systems using theoretical computational and biological techniques our interests include algebraic geometry derived categories algebraic and geometric topology twistor theory category theory and integrable systems while we can offer a large community of researchers under one roof we believe in encouraging you to gain as broad a perspective as possible the best way to do this is to involve yourself in the international dialogue on your research area through attending conferences and symposia and visiting your peers in centres of research worldwide throughout your studies you’ll be given opportunities to travel to events and institutions that will allow you to gain this perspective and open up new areas of investigation 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 phd study in migsaa may be undertaken with more than 40 supervisors and on topics ranging from pure analysis to applied mathematics relevant for scientific engineering environmental or social challenges most projects will relate to one of the following themes • • • • • • • harmonic analysis partial differential equations pdes stochastic processes mathematical modelling atomic and molecular systems fluid dynamics applied probability our intention is that all migsaa students gain awareness of the full intellectual spectrum of research in analysis and its applications including familiarity with theoretical issues stochastic techniques numerical methods and examples of how analysis problems impact the sciences and engineering therefore we expect all students to take some training spanning these areas – even though your eventual phd thesis may specialise in only one or two research environment see page 20 as opposed to a standard phd you will be admitted to the programme rather than with a specific supervisor and take phd training courses and projects which help shape your perspective leading to a match with a supervisor in year 1 the research project directed by the supervisor is still the centrepiece of the phd but this is augmented by an ongoing training programme in years 2–4 fees and funding valuable connections english language requirements for fees see page 20 and for funding information see page 22 mathematics is a discipline of high intellect with connections stretching across all the scientific disciplines and beyond and in edinburgh you can be certain of thriving in a rich academic setting the collaboration between migsaa’s partner institutions maximises the opportunities available for students to gain a breadth of knowledge from leading experts contact graduate school administrator email for more information about research in the school of mathematics please visit research in your first year you will be based at the international centre for mathematical sciences in edinburgh this affords a number of opportunities to engage with the international mathematical community you will be encouraged to travel and participate in conferences and seminars and will have opportunities to meet distinguished researchers from all over the world who are attracted to conferences held here you’ll find opportunities for networking that could have far-reaching effects on your career in mathematics english language requirements see page 20 fees and funding for fees see page 20 and for funding information see page 22 migsaa cdt administrator tel +44 0131 650 5955 email