** Journal articles: **

(with Y. Ershova and A. Kiselev) Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I. *Communications in Mathematical Physics* **375**, 1833--1884 (2020)

(with Y. Ershova, A. Kiselev, and S. Naboko) Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media. *Transactions of the Moscow Mathematical Society* **80**(2), 295--342 (2019)

(with A. V. Kiselev and L. O. Silva) Scattering theory for non-selfadjoint extensions of symmetric operators. *To appear in Operator Theory: Advances and Applications ("Analysis as a Tool in Mathematical Physics: in Memory of Boris Pavlov").* (2019)

(with W. Graham) Open Access: Frequency-dependent impedance and surface waves on the boundary of a stratified dielectric medium *Philosophical Transactions of the Royal Society A ***377**(2156) (2019)

(with Y. Ershova and A. Kiselev) Time-dispersive behaviour as a feature of critical contrast media. * SIAM Journal on Applied Mathematics* **79**(2), 690--715 (2019)

(with M.Cherdantsev and I. Velčić) Open Access: Stochastic homogenisation of high-contrast media. *Applicable Analysis* **98**(1-2), 91--117 (2019)

(with J. Evans) Open Access: Homogenisation of thin periodic frameworks with high-contrast inclusions. *Journal of Mathematical Analysis and Applications,* **473**(2), 658--679 (2019)

(with M. Cherdantsev and S. Cooper) Open Access: Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect. *SIAM Journal on Mathematical Analysis.* **50**(6), 5825--5856 (2018)

(with P. Dondl and F. Rösler) Open Access: Norm-resolvent convergence in perforated domains. *Asymptotic Analysis* **110**(3-4), 163--184 (2018)

(with S. D'Onofrio) Operator-norm convergence estimates for elliptic homogenisation problems on periodic singular structures. *Journal of Mathematical Sciences * **232**(4), 558--572 (2018)

(with M. Waurick) Open Access: Resolvent estimates in homogenisation of periodic problems of fractional elasticity. *Journal of Differential Equations ***264**(6), 3811--3835 (2018)

(with A. V. Kiselev and L. O. Silva) Functional model for extensions of symmetric operators and applications to scattering theory. *Networks and Heterogeneous Media* **13**(2), 191--215 (2018)

(with S. Cooper) Open Access: Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast. *Mathematika* **64**(2), 583--605 (2018)

(with M. Cherdantsev and S. Neukamm) Open Access: High contrast homogenisation in nonlinear elasticity under small loads *Asymptotic Analysis* **104**(1--2), 67--102 (2017); DOI: 10.3233/ASY-171430

(with A. Kiselev) Open Access: Norm-resolvent convergence of one-dimensional high-contrast periodic problems to a Kronig-Penney dipole-type model. * Communications in Mathematical Physics ***349**, 441--480 (2017); DOI: 10.1007/s00220-016-2698-4

(with J. Evans) Open Access: Full two-scale asymptotic expansion and higher-order constitutive laws in the homogenisation of the system of Maxwell equations. * Multiscale Modeling and Simulation (SIAM) * **14**(4), 1513--1539 (2016); DOI:10.1137/15M1042103

(with S. Cooper) Open Access:Resolvent estimates for high-contrast homogenisation problems. * Archive for Rational Mechanics and Analysis* **219**(3), 1061--1086 (2016); DOI: 10.1007/s00205-015-0916-4

(with M. Cherdantsev)
Open Access:Bending of thin periodic plates. * Calculus of Variations and Partial Differential Equations* **54**(4), 4079--4117 (2015)

(with S. Cooper) Open Access:On the existence of high-frequency boundary resonances in layered elastic media. * Proceedings of the Royal Society A *
**471**: 20140878 (2015) DOI: 10.1098/rspa.2014.0878

(with S. Cooper) Open Access: Homogenisation of the system of high-contrast Maxwell equations. * Mathematika* **61**(2: V. G. Maz'ya Anniversary Issue), 475--500 (2015)

(with S. Cooper and S. Guenneau) Open Access:Spectral analysis of one-dimensional high-contrast elliptic problems
with periodic coefficients. * Multiscale Modeling and Simulation (SIAM)* **13**(1), 72--98 (2015)

Some analogues of the double-porosity models and the associated effect of micro-resonance. * Journal of Mathematical Sciences * **176**, 818--827 (2012)

(with M. Cherdantsev) Two-scale Γ-convergence of integral functionals and its application to homogenisation of nonlinear
high-contrast periodic composites.* Archive for Rational Mechanics and Analysis * **204**, 445--478 (2012)

(with S. D. M. Adams, R. V. Craster and S. Guenneau) High-frequency spectral analysis of thin periodic acoustic strips: theory and numerics.* European Journal of Applied Mathematics * **21**(6), 557--590 (2010)

An approach to constitutive modelling of elasto-plasticity via ensemble averaging of the dislocation transport.
*Journal of the Mechanics and Physics of Solids* **58**(5), 798--809 (2010)

(with N. F. Britton, C. Carrillo and M. Mogie) Dynamic coexistence of sexual
and asexual invasion fronts via a system of integro-difference equations.* Bulletin of Mathematical Biology*
**71**(7), 1612--1625 (2009)

(with F. J. Sabina) Open Access: On the existence of waves guided by a cavity in an elastic layer.
*Quarterly Journal of Mechanics and Applied Mathematics* **62**(3), 221-233 (2009)

(with G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran and Z. Jacob) Open Access:
Solutions in folded geometries and associated cloaking due to anomalous
resonance. *New Journal of Physics* **10**(11), 115021 (2008)

(with S. Guenneau)
Bloch-wave homogenisation for spectral asymptotic analysis of the periodic Maxwell
operator. * Waves in Random and Complex Media* **17**, 627--651 (2007)

Asymptotic expansion of the boundary-layer type for
flexural waves along the curved edge of a Kirchhoff-Love plate.
*Zapiski
Nauchnykh Seminarov POMI,* **332**, 286--298 (2006), in Russian. English version
in: *J. Math. Sci. (N. Y.)* **142** (6), 2682--2688 (2007).

Two-scale asymptotics for non-local effects in composites with highly anisotropic fibres.
*Asymptotic Analysis,* **49**, 39--59 (2006) .

Open Access:
On propagation of attenuated Rayleigh waves along a fluid-solid interface of arbitrary shape. *The
Quarterly Journal of Mechanics and Applied Mathematics* **59**,
75--94 (2006).

(with V. P. Smyshlyaev and V. V. Zhikov) Non-local
homogenised limits for composite media with highly anisotropic periodic
fibres.
*Proceedings of the Royal Society of Edinburgh: Section A* **136**(1), 87--114 (2006).

On propagation of Scholte-Gogoladze surface waves along a fluid-solid interface of arbitrary shape.
*Zapiski
Nauchnykh Seminarov POMI* **324**, 229--247 (2005), in Russian. English version in:
* J. Math. Sci. (N. Y.),* **138**(2), 5613--5622 (2006).

(with P. Padilla) On derivation of the density of states for periodic operators by the method of asymptotic expansion.
*Proceedings of the Edinburgh Mathematical Society*
**48**(1), 51-60 (2005).

(with V. P. Smyshlyaev) On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems.
*Archive for Rational Mechanics and Analysis* **174**(3),
385--442 (2004).

(with V. M. Babich) On a differential equation
with a singular point of regular type and a large parameter. *Integral
Transforms and Special Functions* **11**(2), 101--112 (2001).

(with V. P. Smyshlyaev) On rigorous derivation
of strain gradient effects in the overall behaviour of
periodic heterogeneous media. *Journal
of the Mechanics and Physics of Solids*
**48**(6--7), 1325-1357 (2000).

(with V. M. Babich) On Fock's type asymptotics
of Legendre functions. *Integral Transforms and Special
Functions* **5**(1--2), 1--18 (1997).