Pure Mathematics

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.

<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="https://eps.leeds.ac.uk/maths-pure-mathematics/doc/algebra-geometry-integrable-systems">algebra, geometry and integrable systems</a></li> <li><a href="https://eps.leeds.ac.uk/maths-pure-mathematics/doc/analysis">analysis</a></li> <li><a href="https://eps.leeds.ac.uk/maths-pure-mathematics/doc/logic">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 (logic, proof theory, computability, model theory, set theory), groups and algebras (Lie algebras, algebraic groups, cluster algebras and representation theory), to geometry (differential geometry and solitons), to analysis (Hilbert spaces, operator algebras, analytic functions, complex analysis). </p> <h5>Why do your PhD at Leeds? </h5> <p><strong>96% of our research is world-leading (REF 2021) </strong><br /> At Leeds, our research addresses the most prevalent real-world challenges – providing solutions that have had both a national and global impact. <br /> <strong>Study in an active research environment </strong><br /> Studying your PhD with us means you’ll be working in a professional research environment, using UK-leading facilities to bring your project to life – alongside active researchers who are at the forefront of their area. <br /> <strong>A strong network of support  </strong><br /> The Leeds Doctoral College connects our community of researchers and can offer you the guidance, services and opportunities you’ll need to get the most out of your PhD. <br /> <strong>Close industry links </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'll benefit your next steps after you complete your PhD. <br /> <strong>Professional skills development  </strong><br /> We think of the whole picture at Leeds. That’s why we offer a range of workshops and courses that'll enhance your skillset further and transfer into your professional career. <br /> <strong>Personal and wellbeing services </strong><br /> Mental health and wellbeing support are integral to who we are at Leeds and you’ll have access to the full range of services we offer to ensure you’re feeling your best – and reaching your potential in your studies. <br /> <strong>Join our global community </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’re bringing together different cultures and perspectives which helps strengthen our research – and societal impact.</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-pure-mathematics">Pure Mathematics 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/research-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>

<p>Formal applications for research degree study should be made online through the <a href="https://www.leeds.ac.uk/research-applying/doc/applying-research-degrees">University's website</a>.</p>

<p>For queries relating to your research proposal or subject area, please contact <a href="https://eps.leeds.ac.uk/maths/staff/4079/professor-martin-speight">Professor Martin Speight</a>.</p> <p>For general enquiries and details regarding the application process, please contact the Graduate School Office:</p> <p>e: <a href="mailto:maps.pgr.admissions@leeds.ac.uk">maps.pgr.admissions@leeds.ac.uk</a>, t: +44 (0)113 34 35057</p>