Research

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 and includes an industrial collaboration with Tata Steel.

I currently have three major ongoing research projects which you can read about by clicking the links:

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

Collaborators:

Université Bourgogne Franche-Comté, France:
Geneviève Dusson.

University of Birmingham, UK
Hong Duong (former postdoctoral mentor)

University of British Columbia, Canada
Christoph Ortner (PhD advisor)

Cardiff University, UK
Angela Mihai (former postdoctoral mentor), Thomas Woolley

University of Glasgow, UK
Steven Roper

Heriot-Watt University, UK
John Ball (postdoctoral mentor), David Bourne (postdoctoral mentor),
Julian Braun, Lucia Scardia (postdoctoral mentor)

Inria Paris, France
Jean Feydy

Kanazawa University, Japan
Masato Kimura, Patrick van Meurs

Tata Steel R&D, Ijmuiden, The Netherlands
Karo Sedighiani

University of Warwick, UK
Thomas Hudson (PhD advisor), James Kermode, Fraser Birks (PhD student)