Maciej Buze

Research Associate

School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, Scotland
EH14 4AS
United Kingdom

Office: Colin McLaurin Building T.03
departmental website

Research interests:

My research spans a wide range of topics at the intersection of applied and computational mathematics and mathematical analysis and is primarily inspired by applications in materials science, biology, physics and data science.

I use and develop tools in calculus of variations, bifurcation theory, numerical analysis, optimal transport, uncertainty quantification, approximation theory, scientific GPU computing, data analysis and machine learning.

Current applications include atomistic modelling of defects in crystalline materials, bottom-up upscaling approaches to the modelling of near-crack-tip plasticity, geometric modelling of microstructure in polycrystalline materials (with industrial partner, Tata Steel), quantifying uncertainties when modelling materials with interatomic potentials, image processing and generation; barycentric data compression.

I currently have three major ongoing research projects (see Research tab for details):

• Discrete modelling of nucleation and migration of defects in materials
• Optimal transport: theory and applications
• Uncertainty quantification for machine learning interatomic potentials