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Summary

I am a Lecturer in Mathematics at Brunel University London, specialising in dynamical systems, ergodic theory, and probability theory, with a strong interest in the interface between rigorous mathematical theory and data-driven approaches. My research focuses on limit theorems for weakly dependent random variables, their higher-order asymptotics, and statistical inference in dynamical systems.

I am a member of the EPSRC Mathematical Sciences Early Career Forum, where I serve as a two-way communication channel between EPSRC and the early career research community, contributing to shaping strategic priorities and supporting the mathematical sciences research ecosystem.

Beyond research, I am deeply engaged with the mathematical community and committed to outreach. I have contributed to several initiatives across Canada, Sri Lanka, and the United States, aiming to inspire and support the next generation of mathematicians through workshops, seminars, and educational programmes.

Qualifications

Educational

  • PhD in Mathematics, University of Maryland, College Park, USA (2018)                                                                          Dissertation: Higher Order Asymptotics for the Central Limit Theorem and Large Deviation Principles.
  • MA in Mathematics, University of Maryland, College Park, USA (2016)
  • BSc in Mathematics, University of Colombo, Sri Lanka (2014), First Class  

Other

  • Mental Health First Aider (MHFA), 2025

Responsibility

  • Co-organiser of the Maths and Stats Research Seminar series
  • Level 6 Coordinator at the Mathematics Department
  • Timetabling responsibilities at the Mathematics Department

Newest selected publications

Fernando, K. and Schindler, TI. (2025) 'Limit theorems for a class of unbounded observables with an application to ‘Sampling the Lindelöf hypothesis’'. Ergodic Theory and Dynamical Systems, 0 (ahead of print). pp. 1 - 59. ISSN: 0143-3857 Open Access Link

Journal article

Kirchenbauer, J., Geiping, J., Wen, Y., Shu, M., Saifullah, K., Kong, K., et al. (2024) 'On the Reliability of Watermarks for Large Language Models'.The Twelfth International Conference on Learning Representations. Vienna, Austria. 1 - 11 May. arXiv. pp. 1 - 45.Open Access Link

Conference paper

Dolgopyat, D. and Fernando, K. (2023) 'An Error Term in the Central Limit Theorem for Sums of Discrete Random Variables'. International Mathematics Research Notices, 2023 (21). pp. 18664 - 18713. ISSN: 1073-7928 Open Access Link

Journal article

Ramasinghe, S., Fernando, K., Khan, S. and Barnes, N. (2022) 'A Robust Normalizing Flow using Bernstein-type Polynomials'.The 33rd British Machine Vision Conference (BMVC 2022). London, UK. 21 - 24 November. The 33rd British Machine Vision Conference Proceedings. pp. 1 - 19.Open Access Link

Conference paper

Fernando, K. and Pène, F. (2021) 'Expansions in the Local and the Central Limit Theorems for Dynamical Systems'. Communications in Mathematical Physics, 389 (1). pp. 273 - 347. ISSN: 0010-3616 Open Access Link

Journal article
More publications(8)