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Professor Richard Sharp

  Richard Sharp

Professor Richard Sharp

Professor of Mathematics

Office: B2.38
Phone: +44 (0)24 76528323
Email: R dot J dot Sharp at warwick dot ac dot uk


Teaching Responsibilities 2022/23:

Term 1: MA424 Dynamical Systems

Term 2: MA9M8 Topics in Ergodic Theory

Research Interests:
Ergodic theory, dynamical systems, applications to geometry, combinatorial and geometric group theory, quantum chaos and noncommutative geometry.

Selected recent publications:
Helicity, linking and the distribution of null-homologous periodic orbits for Anosov flows, Nonlinearity 36, 21-58, 2023 (with S. Coles)
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)

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