I am a research mathematician with interests in geometry and topology, and in how these subjects can be applied in topological data analysis. You can find links to my papers here.
I am currently a Senior Research Officer at Swansea University, responsible for managing our collaboration with Oxford on the OxCovid19 project. Prior to this, I held a Daphne Jackson Fellowship, which was funded by the Daphne Jackson Trust with support from Swansea University and EPSRC.
In July I will take up a new position at Cardiff University as a Lecturer in Mathematical Sciences.
Most of my work is in the area of Alexandrov geometry, the study of inner metric spaces with a lower curvature bound. I am interested in this subject both for its own intrinsic beauty and for the light it can cast on Riemannian geometry. I also study symmetry in a wide variety of settings – general topological spaces, metric spaces, Alexandrov spaces and Riemannian manifolds.
I am applying my geometric expertise to topological data analysis, taking on questions of geometric inference. In particular, I am studying the construction of estimators for geometric invariants of submanifolds of Euclidean space. You can see a paper on estimating the reach on my research page.
Get in touch with me by email at john dot harvey dot math at gmail dot com.
I'm delighted to be able to announce that I have accepted a position at Cardiff University as Lecturer in Mathematical Sciences.
New publication! A new estimator for the reach of a submanifold, along with new bounds on the convergence of estimators, is out now in Discrete & Computational Geometry.
New publication! I did a lot of work in 2020 on the OxCovid19 project, curating global epidemiological data. A paper describing in the database is out in Scientific Reports and you can get more info here . Hoping this can generate some useful high-quality comparative analysis.
A bit more social recently! Presented work to the AMS Sectional on 20 Mar (circle actions on 4-orbifolds - slides here) and then a visit to the DataShape group on 25 Mar to talk about reach estimation (slides here).