My primary research interest is in the analysis of differential equations with irregular coefficients. Increasingly, these equations are used in a wide variety of mathematical models in fields as diverse as climate modelling, medical imaging, control theory, and stem-cell research yet the mathematical theory remains insufficiently developed for the requirements of modern scientific research. To address this gap and develop a broad mathematical theory of irregular differential equations my research draws upon the following:
I am particularly interested in problems motivated by fluid dynamics.
I organise the Mathematics Research Seminar at Middlesex.
Jones, Matthew and Megeney, Alison and Sharples, Nicholas (2021) Digital pedagogy in a world of digital poverty: the Middlesex iPad project. In: AdvanceHE Curriculum Symposium 2021, 08 Jun 2021, Online.
Jones, Matthew and Megeney, Alison and Sharples, Nicholas (2021) Collaboration and co-creation at a distance: using technology to enhance student engagement online. In: AdvanceHE Student Engagement Conference 2021, 26 May 2021, Online.
Jones, Matthew and Megeney, Alison and Sharples, Nicholas (2021) iPads for teaching and learning mathematics: collaborative group-work in an engineering-appropriate setting. In: UCLan Conference: "Supporting Engineering Students with Weak Maths Skills and Widening Participation", 25 Mar 2021, Online.
Jones, Matthew and Sharples, Nicholas (2020) Using technology to engage Generation Z Mathematics students. In: University of South Wales: Teaching Excellence Seminars, 09 Nov 2020, Online.
Jones, Matthew and Sharples, Nicholas (2020) Video recording lectures: blending the quarantini. In: TALMO Workshop: Student Engagement and Interaction, 3 Sep 2020, Online.