James Waterman

I am a Walter Craig Postdoctoral Fellow at the University of Toronto, since Fall 2024. Previously, I was a Milnor Lecturer in the IMS at Stony Brook University and a Research Associate in the Dynamical Systems group at the University of Liverpool working with Prof. Lasse Rempe. I received my PhD from The Open University under the supervision of Prof. Gwyneth Stallard and Prof. Phil Rippon.

My research is mainly in complex dynamics, in particular the iteration of transcendental entire and meromorphic functions.

Email: james.waterman (at) utoronto (dot) ca

Preprints

Eremenko's conjecture, Wandering Lakes of Wada, and Maverick Points. To appear in J. Amer. Math. Soc. [arXiv] (with Martí-Pete, D. and Rempe, L.)

Bounded Fatou and Julia components of meromorphic functions. Math. Ann. (2024) [Journal] [arXiv] (with Martí-Pete, D. and Rempe, L.)

Wiman–Valiron Discs and the Dimension of Julia Sets. International Mathematics Research Notices, 2021(12), 9545-9566. [Journal]

Identifying logarithmic tracts. Annales Academiæ Scientiarum Fennicæ, 45 (2020), 739-749. [Journal]

Slow escape in tracts. Proceedings of the American Mathematical Society, 147 (2019), 3087-3101. [Journal]

On the infinitesimal space of UQR mappings. The Journal of Analysis, 24 (2016), 67-81. (with Fletcher, A., Macclure, D., & Wesley, S.) [Journal]

Iteration in tracts [Link]

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