Staff profile
Overview

Affiliation |
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Post Doctoral Research Associate, Analysis in the Department of Mathematical Sciences |
Research interests
- Spectral theory
- Geometry
- Mathematical Physics
Esteem Indicators
- 2024 - 2027: Leverhulme Early Career Fellowship:
Publications
Journal Article
- Large- n asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfacesHide, W., & Thomas, J. (2025). Large- n asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces. Communications in Mathematical Physics, 406(9), Article 203. https://doi.org/10.1007/s00220-025-05369-4
- Short geodesics and small eigenvalues on random hyperbolic punctured spheresHide, W., & Thomas, J. (2025). Short geodesics and small eigenvalues on random hyperbolic punctured spheres. Commentarii Mathematici Helvetici, 100(3), 463-506. https://doi.org/10.4171/cmh/588
- Quantum Unique Ergodicity for Cayley graphs of quasirandom groupsMagee, M., Thomas, J., & Zhao, Y. (2023). Quantum Unique Ergodicity for Cayley graphs of quasirandom groups. Communications in Mathematical Physics, 402, 3021-3044. https://doi.org/10.1007/s00220-023-04801-x
- The Tangle-Free Hypothesis on Random Hyperbolic SurfacesMonk, L., & Thomas, J. (2022). The Tangle-Free Hypothesis on Random Hyperbolic Surfaces. International Mathematics Research Notices, 2022(22), 18154-18185. https://doi.org/10.1093/imrn/rnab160
- Delocalisation of eigenfunctions on large genus random surfacesThomas, J. (2022). Delocalisation of eigenfunctions on large genus random surfaces. Israel Journal of Mathematics, 250(1), 53-83. https://doi.org/10.1007/s11856-022-2327-1
- Short geodesic loops and $$L^p$$ norms of eigenfunctions on large genus random surfacesGilmore, C., Le Masson, E., Sahlsten, T., & Thomas, J. (2021). Short geodesic loops and $$L^p$$ norms of eigenfunctions on large genus random surfaces. Geometric and Functional Analysis, 31(1), 62-110. https://doi.org/10.1007/s00039-021-00556-6
- Expansivity and unique shadowingGood, C., Macías, S., Meddaugh, J., Mitchell, J., & Thomas, J. (2020). Expansivity and unique shadowing. Proceedings of the American Mathematical Society, 149(2), 671-685. https://doi.org/10.1090/proc/15204
- On inverse shadowingGood, C., Mitchell, J., & Thomas, J. (2020). On inverse shadowing. Dynamical Systems, 35(3), 539-547. https://doi.org/10.1080/14689367.2020.1739228
- Preservation of shadowing in discrete dynamical systemsGood, C., Mitchell, J., & Thomas, J. (2020). Preservation of shadowing in discrete dynamical systems. Journal of Mathematical Analysis and Applications, 485(1), 123767. https://doi.org/10.1016/j.jmaa.2019.123767
Working Paper
- A note on Puder's generalised co-growth formula for treesThomas, J., & Li, W. (2025). A note on Puder’s generalised co-growth formula for trees. arXiv. https://doi.org/10.48550/arXiv.2502.06372
- Spectral gap with polynomial rate for Weil-Petersson random surfacesHide, W., Macera, D., & Thomas, J. (n.d.). Spectral gap with polynomial rate for Weil-Petersson random surfaces [Submitted]. arXiv. https://doi.org/10.48550/arXiv.2508.14874
- Spectral gap with polynomial rate for random covering surfacesThomas, J., Hide, W., & Macera, D. (n.d.). Spectral gap with polynomial rate for random covering surfaces [Submitted]. arXiv. https://doi.org/10.48550/arXiv.2505.08479
- Small eigenvalues on hyperbolic surfaces with many cuspsThomas, J., & Hide, W. (n.d.). Small eigenvalues on hyperbolic surfaces with many cusps [Submitted] (p. 31). arXiv. https://doi.org/10.48550/arXiv.2410.06093