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Applied Mathematics


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 (eg, 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="">Applied Mathematics</a> is concerned with problems that arise in the real physical world, such as in physics (eg, galaxies, stars, planets), biology (eg, evolution, ecology, immunology), earth sciences (eg, atmospheres, oceans, glaciers, climate), society (eg, populations, opinions, networks), and industry (eg, 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 (eg, 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 five groups:</p> <ul> <li><a href="">Applied Nonlinear Dynamics</a></li> <li><a href="">Astrophysical and Geophysical Fluid Dynamics</a></li> <li><a href="">Algebra, Geometry&nbsp;and </a><a href="">Integrable Systems</a></li> <li><a href="">Mathematical Biology and Medicine</a></li> <li><a href="">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> <h5>Why do your PhD at Leeds?&nbsp;</h5> <p><strong>96% of our research is world-leading (REF 2021)&nbsp;</strong><br /> At Leeds, our research addresses the most prevalent real-world challenges &ndash; providing solutions that have had both a national and global impact.&nbsp;<br /> <strong>Study in an active research environment&nbsp;</strong><br /> Studying your PhD with us means you&rsquo;ll be working in a professional research environment, using UK-leading facilities to bring your project to life &ndash; alongside active researchers who are at the forefront of their area.&nbsp;<br /> <strong>A strong network of support &nbsp;</strong><br /> The Leeds Doctoral College connects our community of researchers and can offer you the guidance, services and opportunities you&rsquo;ll need to get the most out of your PhD.&nbsp;<br /> <strong>Close industry links&nbsp;</strong><br /> Our partnerships and links to companies and academic institutions give you the opportunity to network at industry talks, seminars and conferences, building connections that&#39;ll benefit your next steps after you complete your PhD.&nbsp;<br /> <strong>Professional skills development &nbsp;</strong><br /> We think of the whole picture at Leeds. That&rsquo;s why we offer a range of workshops and courses that&#39;ll enhance your skillset further and transfer into your professional career.&nbsp;<br /> <strong>Personal and wellbeing services&nbsp;</strong><br /> Mental health and wellbeing support are integral to who we are at Leeds and you&rsquo;ll have access to the full range of services we offer to ensure you&rsquo;re feeling your best &ndash; and reaching your potential in your studies.&nbsp;<br /> <strong>Join our global community&nbsp;</strong><br /> We welcome students, researchers, academics, partners and alumni from more than 140 countries, all over the world. This means, as a university, we&rsquo;re bringing together different cultures and perspectives which helps strengthen our research &ndash; and societal impact.</p> <h3>Useful links and further reading:</h3> <ul> <li><a href="">Research degrees within the School of Mathematics</a></li> <li><a href="">Applied Mathematics&nbsp;research</a></li> <li><a href="">School of Mathematics, Research and Innovation</a></li> </ul> <h3>Leeds Doctoral College</h3> <p>Our <a href="">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="">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="">Dr Adrian Barker</a>.</p> <p>For general enquiries and details regarding the application process, please contact the Graduate School Office:</p> <p>e:&nbsp;<a href=""></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>