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Dr John Harvey

Dr John Harvey

Lecturer in Mathematical Sciences

School of Mathematics

Email
harveyj13@cardiff.ac.uk
Campuses
Room 3.58, Abacws, Senghennydd Road, Cathays, Cardiff, CF24 4AG
Users
Available for postgraduate supervision

Overview

I am a Lecturer in Mathematical Sciences working in the Geometry, Alegbra, 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. 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 and I will be building a team of postdocs and PhD students, so if any of this sounds like your thing, please do get in touch to discuss opportunities.

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. PI. 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.

Professional memberships

  • Member of the London Mathematical Society

Committees and reviewing

  • Journal reviewer for
    • J Differential Geom
    • Trans Amer Math Soc
    • J Reine Angew Math
    • Pacific J Math
    • J Topol Anal
    • Artif Intell.

Publications

2022

2021

2020

2017

2016

Teaching

I am a Fellow of the Higher Education Academy.

Research Interests

  • Riemannian geometry
  • Alexandrov geometry
  • 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. In geometric inference I am studying the influence of curvature on estimator performance and the estimation of geometric quantities.

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. PI. Daphne Jackson Fellowship. Funded by the Daphne Jackson Trust with sponsorship from Swansea University and EPSRC. 08/19 – 01/22.

Supervision

I am interested in supervising PhD students in the areas of

  • Riemannian geometry
  • Alexandrov geometry
  • geometric inference