Staff profile

• Spectral theory
• Geometry
• Mathematical Physics

• 2024 - 2027: Leverhulme Early Career Fellowship:

Journal Article

• Large- n asymptotics for Weil-Petersson volumes of moduli spaces of bordered hyperbolic surfaces
  
  Hide, 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 spheres
  
  Hide, 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 groups
  
  Magee, 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 Surfaces
  
  Monk, 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 surfaces
  
  Thomas, 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 surfaces
  
  Gilmore, 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 shadowing
  
  Good, 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 shadowing
  
  Good, 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 systems
  
  Good, 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 trees
  
  Thomas, 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 surfaces
  
  Hide, 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 surfaces
  
  Thomas, 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 cusps
  
  Thomas, 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