Dr John Harvey

(he/him)

Publication

• Date
• Type

Research

Research Interests

• Riemannian geometry
• Alexandrov geometry
• Lorentzian length spaces
• Geometric inference

My current work in Riemannian geometry focusses on understanding manifolds of low volume and submetries. In Alexandrov geometry I am studying how symmetry and curvature interact. I am applying my knowledge of Alexandrov geometry to the new theory of Lorentzian length spaces, which are like spacetimes, but less regular. In geometric inference I am studying the influence of curvature on estimator performance and the estimation of geometric quantities.

Team

• Dr Diego Corro Tapia
• Dr Ambrose Yim
• James Binnie

Networks

I am excited to be part of the new UK Metric Geometry and Analysis Network, bringing together researchers in this field from across the UK.

Preprints

Beran, T., Harvey, J., Napper, L. and Rott, F. 2023. A Toponogov globalisation result for Lorentzian length spaces. arXiv:2309.12733. (10.48550/arXiv.2309.12733)

Funded Projects

• Volume-collapsed manifolds in Riemannian geometry and geometric inference. PI. UKRI Future Leaders Fellowship. MR/W01176X/1.  07/22 – 09/26
• A multimodal COVID-19 database for research. Co-I (PI: L Tarassenko). UKRI Ideas to Address COVID-19. EP/W012294/1. 08/21 – 06/22.
• The curvature of data: Using geometry to improve our understanding of large data sets. PI. Daphne Jackson Fellowship. Funded by the Daphne Jackson Trust with sponsorship from Swansea University and EPSRC. 08/19 – 01/22.

Former Team Members

• Giorgos Tsimperis (now at the University of Nottingham)

Teaching

I am a Fellow of the Higher Education Academy.

I am available to supervise undergraduate projects in geometry.

Biography

Appointments

• 08/24 –   Cardiff University, Senior Lecturer
• 07/22 – 07/24 Cardiff University, Lecturer
• 12/21 – 06/22 Swansea University, Senior Research Officer
• 08/19 – 01/22 Swansea University, Daphne Jackson Fellow.
• 01/19 – 07/19 Swansea University, Tutor.
• 11/16 – 12/18 Career break for childcare reasons.
• 07/14 – 10/16 University of Münster, Postdoctoral researcher.

Education

• 2008 – 14 University of Notre Dame, PhD in Mathematics.
• 2007 – 08 Cambridge University, Part III of the Mathematical Tripos.
• 2004 – 06 University College Dublin, MSc Quantitative Finance.
• 2000 – 04 University College Dublin, BSc Mathematical Science.

Funded Projects

• UKRI Future Leaders Fellowship "Volume-collapsed manifolds in Riemannian geometry and geometric inference". MR/W01176X/1.  07/22 – 09/26
• A multimodal COVID-19 database for research. Co-I (PI: L Tarassenko). UKRI Ideas to Address COVID-19. EP/W012294/1. 08/21 – 06/22.
• The curvature of data: Using geometry to improve our understanding of large data sets. MAGPIE. Daphne Jackson Fellowship. Funded by the Daphne Jackson Trust with sponsorship from Swansea University and EPSRC. 08/19 – 01/22.

Outreach and Public Engagement

• Association for Women in Mathematics, EvenQuads, data collector and biography writer for a deck of playing cards featuring profiles of women who have made significant contributions to mathematics, 2022.
• Science Museum, Presenter at Science of UNESCO Lates, March 2019.

Honours and awards

• UKRI Future Leaders Fellowship, 2022

Professional memberships

• Member of the London Mathematical Society
• Fellow of the Higher Education Academy

Supervisions

I am interested in supervising PhD students in the areas of

• Riemannian geometry
• Alexandrov geometry
• Lorentzian length spaces
• geometric inference

Current supervision

James Binnie

Research Student

Past projects

• Giorgos Tsimperis proved that warped products over Lorentzian length spaces are themselves Lorentzian length spaces. Following the award of his MPhil, he is now at Nottingham as a PhD student.