Since October 2019, I've been a PhD student under the supervision of Professor Ian Melbourne. I completed an MMath at the University of Warwick in 2019, where my final year project was also supervised by Ian.
I am broadly interested in Ergodic Theory and Probability. In particular, I am interested in statistical properties of nonuniformly hyperbolic dynamical systems. Most of my research so far has been related to proving averaging/homogenisation for deterministic dynamical systems (here is a nice survey article on deterministic homogenisation).
- Functional Correlation Bounds and Optimal Iterated Moment Bounds for Slowly-mixing Nonuniformly Hyperbolic Maps, to appear in Communications in Mathematical Physics, [arxiv]
- 18th November 2020: Homogenisation of Deterministic Fast-Slow Systems, Warwick Postgraduate Seminar (online), abstract
This year, I am the supervisor of two groups of first-year MORSE students. I have previously been a TA for Norms, Metrics and Topologies (twice) and Mathematical Analysis III. I also have experience supervising small groups of second-year maths students and first-year joint-honours students.
Email: n dot fleming dot 1 at warwick.ac.uk