I received my early education in Russia (BSc in Mathematics, 1996 and MSc in Mathematics with QTS, 1998). In 2006 I received a PhD in pure mathematics at Bristol University. Afterwards I worked for several medical technology companies. In 2009 I enrolled for a PGCE in Secondary Mathematics at Swansea Metropolitan University and was awarded a QTS in 2010. I have been a Programme Leader for the Further Mathematics Support Programme (FMSP) Wales since it was founded by the Welsh Government  in 2010 (www.furthermaths.org.uk/wales).

My early research interest laid entirely in the field of Pure Mathematics and Partial Differential Equations in particular, e.g., Hardy and Rellich type inequalities and nonlinear elliptic equations arising in astrophysics in the study of the existence of black holes. When I was appointed to the role of programme director of the Further Mathematics Support Programme my research became focussed on mathematics education and pedagogy. My recent research is into the reasons for student choice of studying mathematics post-16, of transition from school to university mathematics and STEM degrees and students’ experience of studying A-level mathematics through a blended learning model. I am interested in the pedagogy of problem solving in mathematics, GCSE mathematics and numeracy assessment.

I am a Senior Fellow HEA.

Inspiring Women 2017, Swansea University


Areas of Expertise

  • Mathematical Education
  • Mathematical Analysis
  • Differential Equations


  1. Lyakhova, S. Designing a curriculum based on four purposes: let mathematics speak for itself Journal of Curriculum Studies 1 17
  2. Neate, A., Lyakhova, S. Further Mathematics, student choice and transition to university: part 1 - Mathematics degrees Teaching Mathematics and its Applications: An International Journal of the IMA
  3. Lyakhova, S. A New Approach to Professional Development in Mathematics Institute of Welsh Affairs Cardiff
  4. Moroz, V., Lyakhova, S. Positive solutions to semilinear elliptic equations with critical lower order terms EQUADIFF 2003 549 554
  5. Liskevich, V., Lyakhova, S., Moroz, V. Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains Journal of Differential Equations 232 1 212 252

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  • MA-395 Teaching Mathematics via a School Placement

    This module is for students with an interest in entering teaching, and involves a weekly placement in a local school under the mentorship of a mathematics teacher. The student will engage both in observation and in various teaching activities. The module will be assessed on the basis of the mentor's report, on written project work and a final presentation.

Administrative Responsibilities

  • Management Committee - Swansea Academy of Inclusivity and Learner Support, Swansea University

    2013 - Present

  • Royal Institution Mathematics Masterclass series organiser - Swansea University

    2011 - 2017

  • FMSP Wales Programme Leader

    2010 - Present

External Responsibilities

  • Board member and grant holder, Wales National Network for Excellence in Mathematics

    2016 - Present

  • WIMCS/FMSP representative, Joint Mathematical Council of the UK

    2015 - Present

  • panel member, AS/A Level Mathematics Reform consultation, WJEC

    2013 - 2015

  • HEA registered consultant, HEA Tackling Transition in Mathematics

    2014 - 2015

  • panel member, AS/A Level Mathematics Reform consultation, Qualification Wales

    2016 - 2016

  • Mathematics Task and Finish Group, Welsh Government

    2015 - 2015

Key Grants and Projects

  • National Network for Excellence in Mathematics 2016 - 2018

    funder DfES, Welsh Government, £445K

  • Enhanced Mathematics Provision for Oxbridge students 2017 - 2018

    funder Waterloo Foundation, £21K

  • Further Maths Support Programme Wales, pan-Wales coverage 2016 - 2018

    funder DfES, Welsh Government, £920K

  • Further Maths Support Programme Wales, established programme 2014 - 2016

    funder DFES, Welsh Government, £450K

  • Further Maths Support Programme Wales, pilot phase 2013 - 2014

    funder DFES, Welsh Government, £214K