University of Liverpool

Mathematical Sciences

University of LiverpoolLiverpool, United Kingdom

Course overview

The PhD in Mathematical Sciences at Liverpool provides a vibrant environment where postgraduate researchers engage in cutting-edge research across applied mathematics, pure mathematics, theoretical physics, and financial mathematics. With access to advanced resources and a collaborative community, you’ll contribute to pioneering work in areas like quantum theory, mathematical biology, and financial mathematics, while developing expertise that leads to impactful discoveries. The Mathematical Sciences PhD at Liverpool provides a comprehensive research experience, allowing you to work within one of the nine research groups across the department.

The programme is designed to support you in developing both advanced mathematical techniques and critical research skills, with opportunities to contribute to pioneering research in areas like algebraic geometry, dynamical systems and mathematical biology. Liverpool offers a structured environment, combining independent research with professional development, including access to dedicated resources such as high-performance computing facilities and specialised workshops. You’ll benefit from the expertise of academic supervisors and collaborative research groups, enabling you to make significant contributions to international research efforts.

Graduates leave with strong analytical skills and a deep understanding of mathematical theory, well-prepared for roles in academia or industry, as well as research-based positions in finance and technology. This PhD offers a wide range of research topics across several broad themes, with the flexibility for you to suggest your own topic within these areas. Research themes include: TheDepartment of Mathematical Sciencesfosters an active and collaborative research culture, with a diverse range of research groups focusing on both pure and applied mathematics.

The department supports a dynamic learning environment where you can engage in cutting-edge research. Postgraduate researchers benefit f

Key highlights

  • Specialise across pure mathematics, applied mathematics and theoretical physics
  • Project work worth 105 credits builds independent research skills
  • Dissertation supervised by an expert on a topic of your choice
  • Prepares students for entry to PhD programmes
  • Blends lectures and tutorials with interactive sessions and online assessment
  • Designed with employers' needs in mind

Entry requirements

  • Degree: 2:2 — Postgraduate entry requirements: We accept a 2:2 honours degree from a UK university, or an equivalent academic qualification from a similar non-UK institution.

Scholarships

  • Chevening Scholarships

  • E. Allison Peers Masters Scholarship in Iberian and Latin American Studies

    The scholarship provides £5,000 towards fees, plus a £5,000 stipend, for students undertaking a Hispanic topic in any master's programme in the Department of Languages, Cultures and Film at the University of Liverpool.

    Up to £5,000
  • Health, Cultures and Societies Bursary

    The successful candidate will receive a one-off fee reduction of £5,000.

    Up to £5,000
  • Hodgson Law Scholarship

  • Liverpool Excellence Scholarship for Postgraduates

    If you're an international student, you could be eligible for a tuition fee discount of £7,000.

    Up to £7,000
  • Liverpool Law School Hong Kong Scholarships

    Two scholarships worth £1,000 each.

    Up to £1,000
  • Liverpool Law School LLM Bursaries

    Two bursaries worth £500 each for Home students. Two bursaries wroth £1,000 each for international students.

  • MA in Chinese-English Translating and Interpreting Scholarships

    Students awarded this scholarship will receive a fee reduction of £5,000.

    Up to £5,000
  • Management School MBA Excellence Scholarship

    50% tuition fee discounts are available.

    Up to 50% of fees
  • Manuel Irujo Scholarship in Basque Studies

    The scholarship provides approximately £5,000.

  • MusicFutures Scholarship for International Intellectual Property Law LLM

    Up to five scholarships are available, each worth £12,500 in the form of a tuition fee discount.

    Up to £12,500
  • Peter Astaire Memorial Scholarship in Beatles Studies

    Up to two awards are available in each academic year, with each award worth £4,000.

    Up to £4,000
  • Scholarships for MA Political Science and International Relations

    The Department of Politics is pleased to announce two £5,000 scholarships for students wishing to pursue the MA in Political Science and International Relations.

    Up to £5,000
  • Scholarships for Master's in Public Administration and Policy

    Successful candidates will receive a fee reduction of £5,000.

    Up to £5,000
  • Scholarships for Postgraduate Study in Education

    Successful candidates will receive a fee reduction of £5,000.

    Up to £5,000
  • Scholarships for Postgraduate Study in Film Studies

    Successful candidates will receive a fee reduction of £5,000.

    Up to £5,000
  • Scholarships for Postgraduate Study in History

    Successful candidates will receive a fee reduction of £5,000.

    Up to £5,000
  • Scholarships for Postgraduate Study in Translation

    Successful candidates will receive a fee reduction of £5,000.

    Up to £5,000
  • University of Liverpool Humanitarian Scholarships for Master's Programmes

  • University of Liverpool International College (UoLIC) Excellence Scholarship

    £5,000 tuition fee reduction for the first year of study.

    Up to £5,000

Careers this course leads to

  • Mathematician
  • Data scientist
  • Actuarial analyst
  • Quantitative analyst
  • Operational research analyst
  • PhD researcher in mathematics

Cost of study

UK/Home: £5,238 | International: £5,238

Admission

Applications are made through AHZ at no cost. Share your transcripts, English test scores and personal statement, and your AHZ Counsellor will review your profile, submit your application to University of Liverpool, and guide you through interview, offer, CAS and visa — right up to enrolment.

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