At the Oxford Algebraic Systems Biology group and the Centre for Topological Data Analysis, we are mathematicians working at the interface of theory, applications, and data science.
To address a variety of interdisciplinary data challenges, our research group uses mathematical and statistical techniques including topological data analysis (TDA), numerical algebraic geometry, Bayesian statistics, differential equations, linear algebra, network science, and optimisation to develop new methods of analysing the structure, shape, and relations of data.
We study primarily biological and chemical systems; more applications include image processing, text analysis, chemistry, electromagnetism, engineering, materials science, social science, fundamental physics, neuroscience and medicine.
Conversely, these applications inspire extensive theoretical work in applied algebraic geometry, algebraic statistics, dynamical systems, cellular signaling, chemical reaction network theory, mathematical and systems biology, and topological data analysis, including persistent homology.