Applied Mathematics PhD

Study Discipline: Science & Mathematics
Study Programme Details
Country: United Kingdom
Admission Sessions:Autumn Session
Study Format: Full Time, Part Time
Mode of Study: Fully on Site

Programme Type

PhD / Doctorate


36 Months

Scholarship Available




About this Study Course

Our Applied Mathematics PhD program delves into cutting-edge research areas, including Continuum Mechanics, Mathematical Biology, Nonlinear Systems, Numerical Analysis, and Scientific Computing. As we face a future where mathematical applications are increasingly integral to solving complex problems, our program stands at the forefront, offering you the opportunity to contribute to advancements in healthcare, environmental sustainability, engineering, and beyond. Guided by leading experts, you’ll engage in dynamic research that shapes the future of numerous industries.



Recognized for its world-leading and internationally excellent research, our Applied Mathematics Group fosters robust collaborations with industry, healthcare, and scientific communities. Our PhD program offers diverse research opportunities, often originating from real-world engineering challenges and featuring partnerships with academic and industrial stakeholders.

In Continuum Mechanics, our research spans bubble dynamics, biological fluid mechanics, and fuel cell dynamics, integrating mathematical modeling and novel computational tools. Mathematical Biology research addresses healthcare applications like antimicrobial resistance and climate change impacts, leveraging partnerships with institutes such as the Centre for Systems Modelling and Quantitative Biomedicine.

Our Nonlinear Systems research develops fundamental theories and methodologies for engineering applications, including chemical reactions and hydrogen fuel cell models. Numerical Analysis and Scientific Computing research focuses on designing robust algorithms for real-life problems, utilizing resources like the University High Performance Computing cluster.

PhD students receive tailored training through individual supervision, taught modules, and participation in advanced seminars and conferences, ensuring comprehensive preparation for impactful research careers.


Admission Requirements

  • 2:1 Honours degree in Mathematics or a related subject
  • Lower degree plus an MSc or substantial relevant experience
  • For international students, an Academic Technology Approval Scheme (ATAS) certificate is required
  • English language qualifications (for non-native speakers):
    • IELTS: 6.0 overall with no less than 5.5 in any band
    • TOEFL: 80 overall with no less than 19 in Reading, 19 in Listening, 21 in Speaking, and 19 in Writing
    • Pearson Test of English: Academic 64 with no less than 59 in all four skills
    • Cambridge English (post-2015 exams): Advanced, minimum overall score of 169 with no less than 162 in any component


  • Advanced Continuum Mechanics
  • Computational Fluid Dynamics
  • Mathematical Modeling in Biology
  • Nonlinear Dynamics and Chaos
  • Numerical Methods for Partial Differential Equations
  • Scientific Computing Techniques
  • Research Seminars
  • Thesis Research and Development

£4,786 UK students
£21,360 International Students

Future Career Outcomes

Our alumni are leaders in academia, industry, and research institutions, tackling some of the most pressing issues of our time. They work as data scientists in tech companies, quantitative analysts in finance, and research scientists in healthcare and environmental agencies. The demand for skilled mathematicians continues to rise, with employers valuing the analytical and problem-solving skills honed in our program. You’ll gain expertise in advanced computational techniques, data analysis, and mathematical modeling, making you a sought-after professional in a rapidly evolving job market.


Visa Requirements:

For visa information, please visit United Kingdom page for student visa and student life.