Mathematics. Modeling. Biology.

Mathematical modeling and scientific computing
for brain and neurodegenerative disease research

Biography and research overview

A brief summary of my background, research interests and publication list.

Mathematical models of neurodegenerative disease

What mechanisms drive neurodegenerative diseases? My research is using mathematical models, analysis, patient data, inference, machine learning and scientific computing to investigate this important question.

Numerical methods for human brain and soft tissue pathology

Pathology in soft tissues, such as the brain and bowel, pose significant health risks that must be investigated. What numerical methods are effective for solving mathematical models of soft-tissue pathology and how can complex organ-scale geometries be realized?

Research Resources

Quick links to research-related materials and released open-source scientific software

Curriculum Vitae

Download a copy of my CV in PDF format.


Pysurfing is a Python 3 library for visualizing scalar fields on a FreeSurfer-segmented brain surface.

Connectomes and Staging

Structural connectomes, generated from HCP patient data and software for simulated staging using braid surfaces.


(Coming Soon) PrYon is a high-performance library for solving network neurodegeneration mathematical models using Python 3.

Contact me

Please feel free to contact me regarding any inquiries.

  • Address

    Mathematical Institute
    University of Oxford
    Woodstock Road
    OX2 6GG, United Kingdom
  • Email

    thompsont //at\\
  • Social