Areas of Expertise

  • Nonlinear partial differential equations
  • Singular limits of elliptic and parabolic systems
  • Reaction-diffusion-convection systems and travelling waves
  • Applications of PDE to biology
  • Geometric methods for image processing

Publications

  1. & Minimality conditions for wave speed in anisotropic smectic C∗ liquid crystals. Mathematical Methods in the Applied Sciences
  2. & Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations. SIAM Journal on Mathematical Analysis 48(6), 4126-4154.
  3. & Self-similar fast-reaction limits for reaction–diffusion systems on unbounded domains. Journal of Differential Equations 261(3), 2210-2250.
  4. & Lack of symmetry in linear determinacy due to convective effects in reaction-diffusion-convection problems. Tamkang Journal of Mathematics 47(1), 51-70.
  5. & Compensated convexity, multiscale medial axis maps and sharp regularity of the squared distance function. SIAM Journal on Mathematical Analysis 47(6), 4289-4331.

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Teaching

  • MA-101 Introductory Calculus

    The module introduces basic concepts such as sets, functions, limits, differentiation and integration.

  • MA-102 Introductory Analysis

    The module introduces basic concepts such as sets, functions and limits. Differentiation and integration of real-valued functions are discussed.

  • MA-E01 Year Abroad

    Students are required to select appropriate maths modules. The modules chosen are detailed within a Learning Agreement which must be approved by the Study Abroad Co-ordinator at Swansea University before the student leaves Swansea.

  • MA-R01 Year Abroad

    Students are required to select appropriate maths modules. The modules chosen are detailed within a Learning Agreement which must be approved by the Study Abroad Co-ordinator at Swansea University before the student leaves Swansea.

  • MAW101 Cyflwyniad i Galcwlws

    Mae¿r modiwl yn cyflwyno syniadau sylfaenol fel setiau, ffwythiannau, terfannau, differ ac integru.

  • MAW102 Cyflwyniad i Ddadansoddi

    Mae¿r modiwl yn cyflwyno syniadau sylfaenol fel setiau, ffwythiannau, terfannau, differu ac integru.

Supervision

  • Untitled (current)

    Student name:
    MPhil
    Other supervisor: Dr Vitaly Moroz
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Prof Niels Jacob
  • Individual variability in dispersal and invasion speed (current)

    Student name:
    PhD
    Other supervisor: Prof Luca Borger
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Carlo Mercuri
  • Untitled (current)

    Student name:
    PhD
    Other supervisor: Dr Dmitri Finkelshtein