Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Professor of Applied Mathematics



+44 (0)20 7594 8554r.craster Website




6M24Huxley BuildingSouth Kensington Campus





Richard Craster is the Director of the CNRS-Imperial "Abraham de Moivre" Unité Mixte Internationale in Mathematics. He was Head of Department of Mathematics at Imperial College a role he held for six years (2011-2017). He has been at Imperial College as an academic since 1998 apart from holding a distinguished professorship in Alberta, Canada, 2008-2010 returning to become Head of the Mathematics Department at Imperial. In addition to being a Professor of Applied Mathematics he is also a member of the Mechanical Engineering Department at Imperial.

His research lies in the field of applied mathematics in particular wave mechanics, metamaterials, fluid mechanics and elasticity. He is the co-editor of one of first books on Acoustic Metamaterials, PI of an EPSRC Programme grant on the Mathematical fundamentals of Metamaterials, co-organiser of the UK Acoustics Network (, and recently co-editor of the volume on Elastic Metamaterials for the Handbook of Metamaterials.

In teaching and education matters, he chaired the A-level Content Advisory Board for the Russell Group, for Mathematics, reporting to the Department for Education; this advice shaped the content of the current A-level in Mathematics. He currently chairs the A-level Mathematics contact group for ACME reporting to the Royal Society, and chairs the advisory board of Mathematics in Education and Industry (

He sits on the scientific advisory boards of the Smith Institute ( and Multiwave (an SME in metamaterials), has undertaken numerous consultancy and advisory roles in both industry and government. His research is mainly in the area of acoustic metamaterials, elastic wave propagation and fluid mechanics and ranges from theory, simulation through to experiments usually undertaken with collaborators in engineering and physics.

Selected Publications

Journal Articles

Dubois M, Perchoux J, Vanel AL, et al., 2019, Acoustic flat lensing using an indefinite medium, Physical Review B, Vol:99, ISSN:2469-9950

Berte R, Della Picca F, Poblet M, et al., 2018, Acoustic far-field hypersonic surface wave detection with single plasmonic nanoantennas, Physical Review Letters, Vol:121, ISSN:0031-9007

Makwana MP, Craster R, 2018, Geometrically navigating topological plate modes around gentle and sharp bends, Physical Review B, Vol:98, ISSN:2469-9950

Bennetts LG, Peter MA, Craster R, 2018, Graded resonator arrays for spatial frequency separation and amplification of water waves, Journal of Fluid Mechanics, Vol:854, ISSN:0022-1120

Lefebvre G, Antonakakis T, Achaoui Y, et al., 2017, Unveiling extreme anisotropy in elastic structured media, Physical Review Letters, Vol:118, ISSN:0031-9007

Achaoui Y, Antonakakis T, Brule S, et al., 2017, Clamped seismic metamaterials: Ultra-low broad frequency stop-bands, New Journal of Physics, Vol:9, ISSN:1367-2630

Touvet T, Balmforth NJ, Craster RV, et al., 2011, Fingering instability in buoyancy-driven fluid-filled cracks, Journal of Fluid Mechanics, Vol:672, ISSN:0022-1120, Pages:60-77

Karapetsas G, Craster RV, Matar OK, 2011, On surfactant-enhanced spreading and superspreading of liquid drops on solid surfaces, Journal of Fluid Mechanics, Vol:670, ISSN:0022-1120, Pages:5-37

Craster RV, Kaplunov J, Postnova J, 2010, High-Frequency Asymptotics, Homogenisation and Localisation for Lattices, Quarterly Journal of Mechanics and Applied Mathematics, Vol:63, ISSN:0033-5614, Pages:497-519

Craster RV, Kaplunov J, Pichugin AV, 2010, High-frequency homogenization for periodic media, Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, Vol:466, ISSN:1364-5021, Pages:2341-2362

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