Contact: rhiannon dot dougall at durham dot ac dot uk
Current academic position: Assistant Professor, Durham University.
Previously held positions: Heilbronn Fellow, University of Bristol, 2018-2021,
Postdoc Henri Lebesgue at Le Laboratoire de Math\'{e}matiques de Jean Leray, Nantes, 2017-2018.
PhD obtained from the University of Warwick, 2013-2017, under the supervision of Professor Richard Sharp.
Undergraduate MMath obtained from the University of St Andrews, 2009-2013.
Research theme: Hyperbolic dynamics, thermodynamic formalism, connections to group structure/ unitary representation theory, and geometry. More generally, ergodic theory and dynamical systems, and geometric group theory.
Publications:
Anosov flows, growth rates on covers and group extensions of subshifts, (with R. Sharp)
Inventiones Mathematicae, 2021, vol 223, pages 445–483, https://doi.org/10.1007/s00222-020-00994-3
Twisted Patterson-Sullivan measures and applications to amenability and coverings, (with R. Coulon, B. Schapira, S. Tapie)
Accepted Memoirs of the AMS. (article, 87 pages) https://arxiv.org/abs/1809.10881
Critical exponents of normal subgroups, the spectrum of group extended transfer operators and Kazhdan distance.
Advances in Mathematics, 2019, 349, pages 316–347 https://doi.org/10.1016/j.aim.2019.04.016
Amenability, critical exponents of subgroups and growth of closed geodesics, (with R. Sharp)
Mathematische Annalen, 2016, 365, 3, pages 1359–1377, http://dx.doi.org/10.1007/s00208-015-1338-1
Other resources: undergraduate project -- see tab.