Cambridge-AZ Funded PhD Studentship in Applied Mathematics

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Are you a highly motivated and aspiring researcher with a background in mathematics or a closely related cognitive area? Do you have a passion for advancing the field of diffusion models and their applications in the medical domain? If so, we invite you to apply for the Cambridge-AZ Funded PhD Studentship in Applied Mathematics.

Project Overview

Diffusion models have proven to be powerful tools for data modelling and analysis. They offer a versatile framework for capturing complex patterns and dynamics in various domains. In this funded PhD opportunity, we aim to push the boundaries of diffusion models by combining theoretical aspects with practical challenges, with a specific emphasis on continuous-time stochastic processes. Our goal is to enhance the applicability of these models in the medical domain, particularly in denoising and image reconstruction tasks where efficient and accurate models are highly desirable.

By enhancing the efficiency and mathematical versatility of diffusion models, we aspire to transcend their application in the medical domain. Our primary focus lies in substantiating the profound theoretical underpinnings of diffusion models, particularly in the realms of denoising and image reconstruction. Through this endeavour, we aim to furnish swifter and more mathematically rigorous solutions in contrast to prevailing methodologies. This breakthrough harbours the potential to expedite the evolution of diffusion models, thereby surmounting a fundamental theoretical impasse in the field.

Desirable Skills

We are looking for candidates with a major in mathematics or a related cognitive discipline. The ideal candidate should possess the following skills and qualifications:

  • Solid background in mathematics, particularly in areas relevant to diffusion models.
  • Proficiency in programming languages commonly used in scientific computing, such as Python.
  • Familiarity with machine learning and deep learning techniques, including experience with training and optimising models.
  • Strong analytical and problem-solving skills.
  • Ability to work collaboratively in a multi-disciplinary team.
  • Excellent written and verbal communication skills.
  • Enthusiasm for conducting cutting-edge research and making a meaningful impact in the field of healthcare.

Applications are invited for 4-year PhD studentship based in the Department of Applied Mathematics and Theoretical Physics (DAMTP), and in collaboration with AstraZeneca. The start date will be October 2024. The student will be working on a collaborative project jointly supervised by Prof. Carola-Bibiane Schönlieb (DAMTP), Dr Angelica Aviles-Rivero (DAMPT) and Dr Richard Goodwin (AstraZeneca).

How to Apply

To apply, please submit an application through the University Applicant Portal: for the course "PhD in Applied Mathematics and Theoretical Physics" by 4 January 2024, naming Prof. Carola-Bibiane Schönlieb, Dr Angelica Aviles-Rivero and Dr Richard Goodwin as potential supervisors.

Please quote reference LE39598 on your application and in any correspondence about this vacancy.

The University actively supports equality, diversity and inclusion and encourages applications from all sections of society.

The University has a responsibility to ensure that all employees are eligible to live and work in the UK.

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