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
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
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Paul Ledger
- Computational electromagnetism
- Coupled physics problems
- Inverse problems
- Reduced order models
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