Mathematical Sciences

Information on panel dates and when to apply is available on the who can apply and when page.

Continuum Mathematics and Advanced Materials in the Mathematical Sciences (Postdoctoral and Early Career fellowships only)

EPSRC is looking to support leaders at the postdoctoral and early career stages to develop advanced mathematical and/or numerical tools to improve our ability to understand, design and predict the properties of matter exhibiting complex behaviour or advanced properties. Such matter may include fluid, solid or multiphase materials. We particularly welcome applications seeking to develop mathematical approaches to improving the design of advanced materials or to improving our ability to understand and predict the behaviour of complex fluids. Proposals in this area should primarily focus on the development of advanced mathematical and/or numerical methodologies but applicants should clearly articulate how they will ensure effective knowledge exchange with relevant application areas, for example through collaboration with researchers in other disciplines and/or industry. Proposals which seek to develop mathematical and/or numerical techniques in collaboration with experimental research in an iterative approach are especially encouraged. 

Statistics and Applied Probability (All career stages)

This priority covers methodological and theoretical research in statistics and applied probability, which is generally defined as the development of mathematical models for investigating phenomena involving some form of randomness or noise. It covers a wide spectrum of research in stochastic and probabilistic modelling and inference in stochastic systems.

In addition to the core fellowship Person specification the Mathematical sciences theme would like to encourage applications from candidates who reach across traditional interfaces between areas of statistics and applied probability to other areas of the Mathematical sciences and other scientific disciplines. The proposed research should focus on the mathematical developments although they may be motivated by applications. If you would like to check that your proposed research is within EPSRC's remit, please complete the remit query form and email it to the fellowship contact.

Intradisciplinary Research (Postdoctoral and Early Career fellowships only)

The 2010 International Review of Mathematical Sciences commented on the unity of the discipline and that ideas from one subfield serve as the inspiration and foundation for major results in a seemingly different subfield. There are many connections between the subfields of mathematics and research at these interfaces offers high potential for new innovative and transformative research.

Intradisciplinary research encompasses combining techniques from a variety of fields of mathematical sciences to make definitive and novel progress in one particular field, or bringing techniques from one area to enhance and progress another area substantially. It may even lead to entirely new areas of research. We wish to support intradisciplinary research that is both novel and innovative by supporting individuals who have the ability to identify and exploit new connections.

Applicants should be confident communicators, able to talk to and influence researchers in all relevant fields. They should be able to explain clearly the broad benefits and opportunities of bringing the different areas of the mathematical sciences together.

Early and established career fellows should show a high level of creativity and ambition in their research ideas, and through high quality, innovative research be able to develop new and emerging research programmes or take more established fields in new and exciting directions. They should be (future) inspirational research leaders for the UK mathematical sciences community who can demonstrate that they are capable of reaching across traditional interfaces.

We also wish to nurture the very best postdoctoral researchers in mathematical sciences that have a breadth of understanding, and the ability to develop new research directions. Applicants should have a depth of understanding in at least one area and have a clear strategy for developing knowledge and links to other areas of the mathematical sciences, for example by having a mentor and / or collaborators in those fields. Postdoctoral fellows should have the strong support of their host department to show that they have high potential to develop as future research pioneers by identifying and exploiting potential connections between different areas of research.

We particularly wish to encourage postdoctoral and early career researchers in the more applied areas of the mathematical sciences. For example the 2010 International Review of Mathematical Sciences identified the need to build UK capability and leadership in linking operational research and numerical analysis. There are also opportunities for building connections between probability and other areas of mathematical sciences.

Proposals should state very clearly which techniques and fields of the mathematical sciences are being brought together, why this provides a potentially transformative approach and how it will open up new research directions. Applications which do not fit this criterion will be rejected.

New Connections from Mathematical Sciences (All career stages)

EPSRC is looking to support future research leaders in mathematical sciences who will work at the interfaces of mathematics with other disciplines. In particular, we wish to encourage connections to real-world problems in areas where the creative use of mathematics has the potential to lead to significant advances that those other disciplines could not achieve in isolation. Proposals should have significant mathematical content, either via the development of new mathematical tools, via novel combinations of existing mathematical techniques, or via novel applications of mathematics, and should inspire new ideas in both the mathematics and application areas. We particularly encourage proposals that tightly couple the development of the mathematics component with data from the application area in an iterative approach, rather than develop theory in isolation. Fellowship proposals should be focussed around the mathematical concepts and tools needed to understand, model, control or predict key properties of multi-scale real-world systems at the different levels.

Postdoctoral Researchers

We wish to nurture the very best postdoctoral researchers in mathematical sciences who have an ability to be innovative in developing new research directions to address real-world challenges and the ability to develop them in novel ways. Applicants should have research expertise and track record in at least one area of mathematical sciences and have a clear strategy for developing knowledge and links to other areas connected to real-world systems, for example by having a mentor and/or collaborators in those fields. Postdoctoral fellows should have the strong support of their host department and show that they have high potential to develop as future research pioneers by identifying and exploiting connections between different areas of research.

Early Career Researchers

Early career fellows should show a high level of creativity and ambition in their research ideas, and through high quality, innovative research and collaboration be able to develop new and emerging research programmes or take more established fields in new and exciting directions. They should be future research leaders for the UK mathematical sciences community who can demonstrate that they will be capable of reaching across traditional interfaces.

Potential applicants wishing to check that their proposed research is within EPSRC's remit should complete the form available from the Remit Queries page, and email it to the fellowship contact at the bottom of that page.

Established career

Established career fellows should show a high level of creativity and ambition in their research vision and through high quality, innovative research and collaboration be able to develop new research programmes which allow the creative use of mathematical sciences to real world problems. At this career stage there is an expectation that applicants be future international research leaders who can demonstrate that they are capable of driving an iterative approach between mathematical sciences and real-world problems.

Mathematical aspects of operational research (Postdoctoral and Early Career fellowships only)

This priority covers the development of novel mathematical techniques for the analysis, modelling and solution of management and operational problems in commerce, industry and the public sector.

Following the capability building in OR resulting from the LANCS Initiative, we are looking to provide continued support in the area of OR, in particular at the postdoctoral and early career stages.

Proposals are sought which demonstrate both methodological innovation and applied relevance. Proposals targeting applications in data analytics, energy, healthcare and manufacturing are especially welcome, though this list is not intended to be exhaustive. Applicants are asked to ensure that mathematical novelty is central to their proposal and is clearly articulated within it.

General note for fellowship applicants in the mathematical sciences:

In addition to the core fellowship Person specification Mathematical sciences would like to encourage applications from candidates who fulfil one or more of the following:

  • Are interested in establishing (or strengthening) links with industry or users of research
  • Are interested in engaging stakeholders, including members of the public and researchers from other scientific disciplines about the potential implications and applications of their research
  • Are interested in disseminating their research outcomes to a broader (non-technical) audience including the general public

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