Professor Richard Sharp
Professor of Mathematics
Phone: +44 (0)24 76528323
Email: R dot J dot Sharp at warwick dot ac dot uk
Teaching Responsibilities 2020/21:
Term 1: MA424 Dynamical Systems
Term 2: MA222 Metric Spaces
Ergodic theory, dynamical systems, applications to geometry, combinatorial and geometric group theory, quantum chaos and noncommutative geometry.
Selected recent publications:
Anosov flows, growth rates on covers and group extensions of subshifts, Inventiones mathematicae, 223, 445-483, 2021 (with R. Dougall).
Statistics in conjugacy classes in free groups, Geometriae Dedicata 198, 57-70, 2019 (with G. Kenison).
Equidistribution of holonomy in homology classes for Anosov flows, Mathematische Zeitschrift 289, 1311-1323, 2018.
Orbit counting in conjugacy classes for free groups acting on trees, Journal of Topology and Analysis 9, 631-647, 2017 (with G. Kenison).
Amenability, critical exponents of subgroups and growth of closed geodesics, Mathematische Annalen 365, 1359-1377, 2016 (with R. Dougall).
Weil-Petersson metrics, Manhattan curves and Hausdorff dimension, Mathematische Zeitschrift 282, 1007-1016, 2016 (with M. Pollicott).
Length asymptotics in higher Teichmüller theory, Proceedings on the American Mathematical Society 142 (2014), 101-112 (with M. Pollicott).
Correlations of length spectra for negatively curved manifolds, Communications in Mathematical Physics 319 (2013), 515-533 (with M. Pollicott).
Click here for a full publication list with links to the papers.
Recent research grants:
Critical Exponents and Thermodynamic Formalism for Geometrically Infinite Spaces, EPSRC, 01/09/2017-31/08/2020, £316k.
Hyperbolic Dynamics and Noncommutative Geometry, EPSRC, 01/04/2012-31/03/2015, £278k.
Personal Homepage: For more information see Richard Sharp's homepage