Research Associate in Homogenisation of PDEs

Research Associate in Homogenisation of PDEs


Cardiff School of Mathematics


Applications are invited for the position of a postdoctoral Research Associate in Homogenisation of PDEs in the School of Mathematics at Cardiff University. This is a 3-year fixed-term post starting on 1 November 2019, or as soon as possible thereafter. The successful candidate will work with Dr Mikhail Cherdantsev on the project “Stochastic homogenisation of high-contrast composites”, funded by a research grant from the Leverhulme Trust.

Project Description

Understanding the properties of composites and search for novel materials is a major direction of research in science and industry. A particular interest attract composites that exhibit high-contrast between physical parameters of their constitutive materials. While high-contrast composites in the periodic setting are well understood through the theory of homogenisation, the stochastic high-contrast setting is virtually unexplored. Understanding the latter is important both theoretically and from the point of view of applications. The aim of this
project is to develop a theory of high-contrast stochastic homogenisation with the focus on the spectral properties of the relevant operators.


Funds will be available for research travel and conference attendance.

The School of Mathematics at Cardiff University

The School of Mathematics is a research-led School at Cardiff University, one of the UK’s leading universities, with a reputation for internationally excellent research and high-quality teaching. In the most recent Research Excellence Framework, REF 2014, Cardiff University was ranked 5th in the UK in terms of the grade point average of its overall quality profile. Staff in the School of Mathematics are actively involved in research in several areas of relevance to the project, including analysis of PDEs, homogenisation, spectral theory, stochastic problems. The School benefits from interactions with many other nearby mathematical hubs, including London, which is two hours from Cardiff by train.


Candidates with research expertise in PDEs, homogenisation, spectral theory and closely related areas of mathematics are encouraged to apply. Applicants should have a record of or potential to produce research that reaches the highest standards of excellence in terms of originality, significance and rigour.

Candidates should have, or be close to completion of, a PhD in mathematics.

In their application, candidates should include a CV (including details of all publications, preprints and papers in preparation) and a short research statement.

The Position

This position is full-time, 35 hours per week, and is fixed-term for 36 months.

Salary: £33,199 – £39,609 per annum (Grade 6)

The post is available from 1 November 2019 or a mutually agreed date thereafter.

We particularly welcome applications from females as they are under-represented within Cardiff University in this field.

Informal enquiries may be made by email to Dr Mikhail Cherdantsev at or Dr Federica Dragoni at

Date advert posted: Wednesday, 31 July 2019

Closing date: Saturday, 31 August 2019

Please be aware that Cardiff University reserves the right to close this vacancy early should sufficient applications be received.

Cardiff University is committed to supporting and promoting equality and diversity and to creating an inclusive working environment. We believe this can be achieved through attracting, developing, and retaining a diverse range of staff from many different backgrounds who have the ambition to create a University which seeks to fulfil our social, cultural and economic obligation to Cardiff, Wales, and the world.  In supporting our employees to achieve a balance between their work and their personal lives, we will also consider proposals for flexible working or job share arrangements.

Job Description

Main Functions

To conduct research within the scope of the Leverhulme Trust funded project “Stochastic homogenisation of high-contrast composites” and contribute to the overall research performance of the School and University, carrying out research leading to the publishing of work in high-quality journals. To pursue excellence in research and to inspire others to do the same.

Main Duties and Responsibilities


  • To conduct research within the scope of the Leverhulme Trust funded project “Stochastic homogenisation of high-contrast composites” and contribute to the overall research performance of the School and University by the production of measurable outputs, including publishing in international academic journals, presenting at conferences, bidding for funding, and being involved in the recruitment and supervision of postgraduate research students.
  • To develop research objectives and proposals for own or joint research, including research funding proposals.
  • To attend and or present at conferences/seminars at a local and national level as required.
  • To undertake administrative tasks associated with the research project, including the planning and organisation of the project and the implementation of procedures required to ensure accurate and timely reporting.
  • To review and synthesise existing research literature within the field.
  • To participate in School research activities.
  • To build and create networks both internally and externally to the university, to influence decisions, explore future research requirements, and share research ideas for the benefit of research projects.


  • To engage effectively with industrial, commercial and public sector organisations, professional institutions, other academic institutions etc., regionally and nationally  to raise awareness of the School’s profile, to cultivate strategically valuable alliances, and to pursue opportunities for collaboration across a range of activities. These activities are expected to contribute to the School and the enhancement of its regional and national profile.
  • To undergo personal and professional development that is appropriate to and which will enhance performance.
  • To participate in School administration and activities to promote the School and its work to the wider University and the outside world.
  • Any other duties not included above, but consistent with the role.

Person Specification

Essential Criteria

Qualifications and Education

  1. Postgraduate degree at PhD level (or nearing completion / submission) in a related subject area.

Knowledge, Skills and Experience

  1. An established expertise and proven portfolio of research and/or relevant industrial experience within the following research fields:
    1. PDEs
    2. Spectral Theory
    3. Homogenisation
  1. Knowledge of current status of research in specialist field
  2. Proven ability to develop understanding of complex problems and apply in-depth knowledge to address them
  3. Proven ability to develop original techniques/methods in the specified research area
  4. Proven ability to publish in high-quality journals
  5. Knowledge and understanding of competitive research funding to be able to develop applications to funding bodies

Communication and Team Working

  1. Proven ability to communicate new and complex information effectively, both verbally and in writing, engaging the interest and enthusiasm of the target audience
  2. Ability to work effectively in a team.


  1. Proven ability to work without close supervision

Desirable Criteria

  1. Proven ability to adapt to the changing requirements of the Higher Education community.
  2. Evidence of ability to participate in and develop both internal and external networks and utilise them to enhance the research activities of the School.

Additional Information

Applications for the post will be considered from candidates who are working towards or nearing completion of a relevant PhD qualification.


School of Mathematics
The School of Mathematics is a research-led School in Cardiff University, one of the UK’s leading universities, with a reputation for internationally excellent research and high quality teaching. In the recent Research Excellence Framework (REF) 2014, Cardiff University was ranked 5th in the UK in terms of the grade point average (GPA) of its overall quality profile.

The School has six main research groups: Applied and Computational Mathematics; GAPT: Geometry, Algebra, Mathematical Physics and Topology; Mathematical Analysis; Mathematics Education; Operational Research; and Statistics. We are an internationally recognised centre of excellence for research in the mathematical sciences. In REF 2014 the School was ranked joint 19th out of 53 submissions with a GPA of 3.08 in the Mathematical Sciences Unit of Assessment. All of the research submitted was rated at least ‘internationally recognised’ with 90% rated as either ‘world leading’ or ‘internationally excellent’. A distinctive feature of the submission was that 100% of our research was rated as ‘outstanding’ or ‘very considerable’ for its impact in terms of its reach and significance. We have provided solutions to contemporary issues such as data security and hospital waiting times.

The School engages with industry, young people and the wider community to make our innovative research accessible to a wider audience. The School has a long-standing culture of applied research and direct engagement with a wide range of industrial, government and commercial organisations such as the NHS, Hewlett Packard and the Office for National Statistics.
The School is also part of formal collaborations inside Wales through the Wales Institute for Mathematical and Computational Sciences where Cardiff is the largest partner. More recently GW4, the Great Western 4 brings together the Universities of Bath, Bristol, Cardiff and Exeter.

The School offers a lively postgraduate environment, with a significant number of postgraduates working in its specialist areas.   Undergraduate students are offered a wide choice of degree programmes, covering an extensive and exciting range of mathematics and its applications. All students join a thriving mathematical community where excellent facilities, tuition of the highest quality, and a friendly supporting environment may be enjoyed.

More details on the School can be found at


Job location: 
Cardiff University
School of Mathematics
CF24 4AG
United Kingdom
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