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Applied Mathematics

PGR-RA-109

Expertise of research area
complex; differential equations; dynamics; evolution; fluid; polymer; stochastic; Waves


<h2 class="heading hide-accessible">Summary</h2>

Applied maths research at Leeds tackles problems arising in physics, biology, earth sciences, society, and industry. Problems are solved using analysis and computations, giving insight into real-world behaviour (e.g., key parameters, universal behaviour, inherent unpredictability), or highlighting hidden mathematical structures. There are strong links to research in pure maths and statistics.

<h2 class="heading hide-accessible">Full description</h2>

<p><a href="https://eps.leeds.ac.uk/maths-applied-mathematics">Applied Mathematics</a> is concerned with problems that arise in the real physical world, such as in physics (e.g., galaxies, stars, planets), biology (e.g., evolution, ecology, immunology), earth sciences (e.g., atmospheres, oceans, glaciers, climate), society (e.g., populations, opinions, networks), and industry (e.g., materials, imaging, lubrication).</p> <p>However, rather than solving such problems in their full complexity (which may be impossible, or require the use of extremely large computations), applied mathematicians simplify the problems and then express them using standard mathematical structures, such as differential equations. These can then be investigated using a combination of analysis and (simple) numerical computations. Such calculations typically reveal insights into the behaviour of the larger (unsimplified) system (e.g., key parameters, universal behaviour, inherent unpredictability), which would not otherwise have been found. The calculations often also lead to mathematical systems that are interesting in their own right, inspiring research in pure mathematics or statistics.&nbsp;</p> <p>Our applied mathematics research is loosely organised into 5 groups:</p> <ul> <li><a href="http://eps.leeds.ac.uk/maths-applied-mathematics/doc/applied-nonlinear-dynamics">Applied Nonlinear Dynamics</a></li> <li><a href="https://eps.leeds.ac.uk/maths-astrophysical-geophysical-fluid-dynamics">Astrophysical and Geophysical Fluid Dynamics</a></li> <li><a href="http://eps.leeds.ac.uk/maths-pure-mathematics/doc/algebra-geometry-integrable-systems">Algebra, Geometry&nbsp;and </a><a href="http://eps.leeds.ac.uk/maths-pure-mathematics/doc/algebra-geometry-integrable-systems.leeds.ac.uk/info/35/research_and_innovation/66/algebra_geometry_and_integrable_systems">Integrable Systems</a></li> <li><a href="https://eps.leeds.ac.uk/maths-applied-mathematics/doc/mathematical-biology-medicine">Mathematical Biology and Medicine</a></li> <li><a href="https://eps.leeds.ac.uk/maths-applied-mathematics/doc/complex-materials-industrial-mathematics">Complex Materials and Industrial Mathematics</a></li> </ul> <p>There are also excellent connections with many other research groups across the University, including those in pure mathematics and statistics, astronomy, atmospheric and climate science, biology, computer science, earth science, engineering, food science and physics. There are also links with industry.</p> <p>We offer a wide range of project opportunities within the School of Mathematics and&nbsp;welcome enquiries from interested candidates.</p> <h3>Useful links and further reading:</h3> <ul> <li><a href="https://eps.leeds.ac.uk/maths-research-degrees">Research degrees within the School of Mathematics</a></li> <li><a href="https://eps.leeds.ac.uk/maths-applied-mathematics">Applied Mathematics&nbsp;research</a></li> <li><a href="https://eps.leeds.ac.uk/maths-research-innovation">School of Mathematics, Research and Innovation</a></li> </ul> <h3>Leeds Doctoral College</h3> <p>Our <a href="https://www.leeds.ac.uk/info/130558/leeds_doctoral_college">Doctoral College</a> supports you throughout your postgraduate research journey. It brings together all the support services and opportunities to enhance your research, your development, and your overall experience.</p>

<h2 class="heading">How to apply</h2>

<p>Formal applications for research degree study should be made online through the <a href="http://www.leeds.ac.uk/info/130206/applying/91/applying_for_research_degrees">University&#39;s website</a>.</p>

<h2 class="heading">Contact details</h2>

<p>For queries relating to your research proposal or subject area, please contact&nbsp;<a href="https://eps.leeds.ac.uk/maths/staff/4031/dr-stephen-griffiths">Dr Stephen Griffiths</a>.</p> <p>For general enquiries and details regarding the application process, please contact the Graduate School Office:</p> <p>e:&nbsp;<a href="mailto:maps.pgr.admissions@leeds.ac.uk">maps.pgr.admissions@leeds.ac.uk</a>, t: +44 (0)113 34 35057</p>


<h2 class="heading heading--sm">Linked project opportunities</h2>
<h2 class="heading heading--sm">Linked funding opportunities</h2>