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Pure Mathematics


Expertise of research area
algebra; analysis; cluster algebras; computability; geometry; logic; model theory; representation theory; set theory; solitons

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

Mathematics plays a fundamental role in modern society, underpinning everything from smartphones and the internet to engineering and architecture. Equally, mathematics can be fascinatingly abstract. Pure mathematics can be loosely characterised as the study of abstract mathematics.

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

<p>We have an international reputation for our research and we are one of the largest and most active groups for pure mathematics research in the UK. The University of Leeds is ranked top 10 in the UK for Mathematics for the quality of our research, according to the latest Research Excellence Framework.</p> <p>Our current research areas include:</p> <ul> <li><a href="">Algebra, geometry and integrable systems</a></li> <li><a href="">Analysis</a></li> <li><a href="">Logic</a></li> </ul> <p>The University of Leeds offers PhD projects in many areas of pure mathematics, from the fundamental underpinning of the subject&nbsp;(logic, proof theory, computability, model theory, set theory), groups and algebras&nbsp;(Lie algebras, algebraic groups, cluster algebras and representation theory), to geometry&nbsp;(differential geometry and solitons), to analysis&nbsp;(Hilbert spaces, operator algebras, analytic functions, complex analysis).&nbsp;</p> <h3>Useful links and further reading:</h3> <ul> <li><a href="">Research degrees within the School of Mathematics</a></li> <li><a href="">Pure 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 <a href="">Dr Alison Parker</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>