Dr Andrew Brown
Stipendiary Lecturer in Mathematics
Dr Andrew Brown is a Stipendiary Lecturer in Mathematics at St Edmund Hall. Andrew studied for his MMath at the University of Warwick and his PhD studies under Professor Lasse Rempe and Dr David Martí-Pete at the University of Liverpool. He came to Oxford in 2024, first as a Stipendiary Lecturer at Lincoln College before joining St Edmund Hall in 2025.
Andrew’s area of research is within complex, or holomorphic, dynamics where the behaviours of a space (the complex plane or Riemann sphere in this case) are studied when a function is applied repeatedly to it. He is particularly interested in the escaping sets of transcendental entire functions; the points that tend to infinity over time under the iteration of holomorphic functions defined on the whole complex plane that aren’t polynomials, e.g., the exponential function. His thesis was spent on constructing slow-growing counterexamples to the strong Eremenko conjecture and his current research explores further results and questions stemming from this.
Andrew teaches across a range of modules in the Prelims and Part A of the undergraduate mathematics courses.
‘Slow-growing counterexamples to the strong Eremenko conjecture’ (preprint, 2024, https://arxiv.org/abs/2405.08811).
Where next?
Mathematics
