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Dr John Harvey
Lecturer in Mathematical Sciences
- HarveyJ13@cardiff.ac.uk
- +44 29208 70943
- Abacws, Room Room 3.58, Senghennydd Road, Cathays, Cardiff, CF24 4AG
Overview
I am a Lecturer in Mathematical Sciences working in the Geometry, Algebra, Mathematical Physics and Topology research group. Before arriving in Cardiff, I worked in Swansea University as a Daphne Jackson Fellow.
My research is in geometry, both for the intrinsic beauty of the pure mathematical subject and for its applications in data science as well as in mathematical relativity. Particular areas of interest include curvature, symmetries, volume-collapse, topological data analysis and geometric inference.
My work is supported by a UKRI Future Leaders Fellowship.
Publication
2023
- Harvey, J. et al. 2023. Epidemiological waves - Types, drivers and modulators in the COVID-19 pandemic. Heliyon (10.1016/j.heliyon.2023.e16015)
2022
- Berenfeld, C., Harvey, J., Hoffmann, M. and Shankar, K. 2022. Estimating the reach of a manifold via its convexity defect function. Discrete and Computational Geometry 67, pp. 403–438. (10.1007/s00454-021-00290-8)
2021
- Mahdi, A. et al. 2021. OxCOVID19 Database, a multimodal data repository for better understanding the global impact of COVID-19. Scientific Reports 11(1), article number: 9237. (10.1038/s41598-021-88481-4)
- Harvey, J. and Searle, C. 2021. Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4. Documenta Mathematica 26, pp. 1889-1927. (10.25537/DM.2021V26.1889-1927)
2020
- Harvey, J. and Searle, C. 2020. Almost non-negatively curved 4-manifolds with torus symmetry. Proceedings of the American Mathematical Society 148(11), pp. 4933-4950. (10.1090/proc/15093)
- Harvey, J., Kerin, M. and Shankar, K. 2020. Semi-free actions with manifold orbit spaces. Documenta Mathematica Vol 25, pp. 2085-2114. (10.25537/DM.2020V25.2085-2114)
2017
- Harvey, J. 2017. G-actions with close orbit spaces. Transformation Groups 22(4), pp. 967-977. (10.1007/s00031-017-9426-9)
- Harvey, J. and Searle, C. 2017. Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature. Journal of Geometric Analysis 27(2), pp. 1636-1666. (10.1007/s12220-016-9734-7)
2016
- Harvey, J. 2016. Equivariant Alexandrov Geometry and Orbifold Finiteness. Journal of Geometric Analysis 26(3), pp. 1925-1945. (10.1007/s12220-015-9614-6)
- Harvey, J. 2016. Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces. Proceedings of the American Mathematical Society 144(8), pp. 3507-3515. (10.1090/proc/12994)
Articles
- Harvey, J. et al. 2023. Epidemiological waves - Types, drivers and modulators in the COVID-19 pandemic. Heliyon (10.1016/j.heliyon.2023.e16015)
- Berenfeld, C., Harvey, J., Hoffmann, M. and Shankar, K. 2022. Estimating the reach of a manifold via its convexity defect function. Discrete and Computational Geometry 67, pp. 403–438. (10.1007/s00454-021-00290-8)
- Mahdi, A. et al. 2021. OxCOVID19 Database, a multimodal data repository for better understanding the global impact of COVID-19. Scientific Reports 11(1), article number: 9237. (10.1038/s41598-021-88481-4)
- Harvey, J. and Searle, C. 2021. Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4. Documenta Mathematica 26, pp. 1889-1927. (10.25537/DM.2021V26.1889-1927)
- Harvey, J. and Searle, C. 2020. Almost non-negatively curved 4-manifolds with torus symmetry. Proceedings of the American Mathematical Society 148(11), pp. 4933-4950. (10.1090/proc/15093)
- Harvey, J., Kerin, M. and Shankar, K. 2020. Semi-free actions with manifold orbit spaces. Documenta Mathematica Vol 25, pp. 2085-2114. (10.25537/DM.2020V25.2085-2114)
- Harvey, J. 2017. G-actions with close orbit spaces. Transformation Groups 22(4), pp. 967-977. (10.1007/s00031-017-9426-9)
- Harvey, J. and Searle, C. 2017. Orientation and Symmetries of Alexandrov Spaces with Applications in Positive Curvature. Journal of Geometric Analysis 27(2), pp. 1636-1666. (10.1007/s12220-016-9734-7)
- Harvey, J. 2016. Equivariant Alexandrov Geometry and Orbifold Finiteness. Journal of Geometric Analysis 26(3), pp. 1925-1945. (10.1007/s12220-015-9614-6)
- Harvey, J. 2016. Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces. Proceedings of the American Mathematical Society 144(8), pp. 3507-3515. (10.1090/proc/12994)
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
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 – 06/26
- 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.
Teaching
I am a Fellow of the Higher Education Academy.
In Autumn 2023 I am teaching a course on Riemannian geometry for MMath students.
Biography
Appointments
- 07/22 – 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 – 06/26
- 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
Committees and reviewing
- Grant application reviewer for
- Leverhulme Trust
- Journal reviewer for
- Not Am Math Soc
- SpringerBriefs in Mathematics
- J Differential Geom
- Trans Amer Math Soc
- J Reine Angew Math
- Pacific J Math
- J Topol Anal
- Artif Intell.
Supervisions
I am interested in supervising PhD students in the areas of
- Riemannian geometry
- Alexandrov geometry
- Lorentzian length spaces
- geometric inference
Current supervision
Research themes
Specialisms
- Differential Geometry
- General relativity and gravitational waves
- Topology
- Data science
