School of Computing and Mathematical Sciences

Scientific computing and geometry

We develop and analyse mathematical methods that have applications in computer graphics, physics and engineering, and formulate efficient algorithms that run on modern computer architectures, from laptops to HPC facilities. The group's expertise covers a broad spectrum of mathematics and its applications, ranging from differential and discrete geometry to numerical analysis, computational electromagnetism, fluid dynamics, solid mechanics and coupled physics problems. We collaborate with industry and international academic partners and regularly attract research funding from UKRI and industries. At the University of Leicester, we also actively engage with colleagues in Engineering, in the Medical Sciences, and at Space Park Leicester to promote cross-disciplinary knowledge exchange and deliver impact.

Group members and their research expertise

Josh Cork

  • Geometry and mathematical physics
  • Variational problems
  • Gauge theory
  • Topological solitons

Learn more about Josh Cork

Marco Fasondini

  • Orthogonal polynomials
  • Spectral methods
  • Computational complex analysis

Learn more about Marco Fasondini

Behnam Hashemi

  • Matrix computations
  • Tensor computations
  • Low-rank approximation
  • Self-validated numerical algorithms

Learn more about Behnam Hashemi

Paul Ledger

  • Computational electromagnetism
  • Coupled physics problems
  • Inverse problems
  • Reduced order models

Learn more about Paul Ledger

Katrin Leschke

  • Discrete geometry
  • Integrable systems
  • Surface theory
  • Shape optimisation
  • Quaternionic holomorphic geometry

Learn more about Katrin Leschke

Alberto Paganini

  • Shape optimization
  • PDE-constrained optimization
  • Finite elements

Learn more about Alberto Paganini

Matias Ruiz

  • Integral operators
  • Asymptotic methods
  • Wave propagation in complex media

Learn more about Matias Ruiz

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