Papers in preparation:

  • Two-scale series expansions for travelling wave packets in one-dimensional periodic media. arXiv version

  • (with Y. Ershova and A. Kiselev) Norm-resolvent asymptotics and spectra of periodic operators, and implications for time-dispersion and metamaterials.

  • (with S. Cooper and J. Roberts) Surface waves in stratified piezoelectric media.

  • (with S. Cooper) Operator-norm resolvent convergence estimates for a system of high-contrast Maxwell equations.

  • Space-time ray expansions for linearised conservation laws near a curved phase boundary.

  • (with K. Matthies) Exponential homogenisation for nonlinear elliptic problems.