ÌÇÐÄTV

I am a final-year PhD student at the Mathematics Institute, expecting to graduate in 2026, supervised by Tim Sullivan. In October 2026, I will join the as Dirichlet postdoctoral fellow.

Research interests: inverse problems • nonparametric statistics • machine learning.

Preprints

[p1] I. Klebanov, H. Lambley and T. J. Sullivan (2025). Classification of small-ball modes and maximum a posteriori estimators in metric spaces. arXiv:

Publications

[3] J. Bunker, M. Girolami, H. Lambley, A. M. Stuart and T. J. Sullivan (2025). Autoencoders in function space. J. Mach. Learn. Res. 26.165, pp. 1–54

[2] H. Lambley (2023). Strong maximum a posteriori estimation in Banach spaces with Gaussian priors. Inverse Probl. 39.12, 125010, doi:

[1] H. Lambley and T. J. Sullivan (2023). An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. SIAM/ASA J. Uncertainty Quantif. 11.4, pp. 1195–1224, doi:
[supplement]

Talks, conferences, and posters

• 13–17 July 2026: Point-cloud architectures for mesh-invariant operator learning. Project mentor, , London, UK.
• 5 February 2026: New developments in modes and MAP estimation for infinite-dimensional inference. Talk, , California Institute of Technology, USA.
• 15 January 2026: Autoencoders in function space. Talk, , Lancaster University, UK.
• 12 November 2025. Autoencoders in function space. Talk, , TU Chemnitz, Germany.
  [slides]
• 8–11 September 2025. Autoencoders in function space. Talk, , ETH Zürich, Switzerland.
  [slides]
• 23–26 June 2025. Autoencoders in function space. Talk, , University of Exeter, UK.
  [slides]
• 20 June 2025. Autoencoders in function space. Talk, Applied Mathematics seminar, University of ÌÇÐÄTV, UK.
  [slides]
• 20–25 April 2025. Autoencoders in function space. Talk, , Mathematisches Forschungsinstitut Oberwolfach, Germany.
  [slides]
• 25 September 2024. Autoencoders in function space. Poster, , University of Cambridge, UK.
• 5 August 2024. Autoencoders in function space. Poster, , University of Bath, UK.
• 13 June 2024. Most likely points of probability measures. Talk, , University of Augsburg, Germany.
• 5 December 2023. Strong maximum a posteriori estimation in Bayesian inverse problems. Talk, , online.
  [slides]

Education

• 2018–2022. Mathematics (MMath), University of ÌÇÐÄTV. Class I.
  • Master's dissertation: An order-theoretic perspective on modes and maximum a posteriori estimation in Bayesian inverse problems. [pdf]

Teaching

2025–2026. Teaching assistant for .

In previous years I have been teaching assistant for various undergraduate- and graduate-level courses, including MA3H7 Control Theory, MA264 Mathematical Methods and Modelling 3, and MA133 Differential Equations.

Other

2025. Organiser for the (joint with Marc Truter).

2024–2026. Organiser for the Junior Analysis and Probability Seminar.

Email: hefin dot lambley at warwick dot ac dot uk

ORCID: