- Editorial board member of European Journal of Applied Mathematics.
- Editorial board member of Mathematics-in-Industry Case Studies Journal.
- Editorial board member of Journal of Mathematics in Industry.
- Member of the Scientific Committee of the Knowledge Transfer Network for Industrial Mathematics.
- Fellow of the Royal Society of Edinburgh.
- Member of the Edinburgh Mathematical Society.
- Member of the European Mathematical Society.
- Member of the London Mathematical Society.
- Fellow of the Institute of Mathematics and its Applications.

- Free-boundary problems.
- Phase transitions.
- Reaction diffusion equations.
- Blow-up of parabolic problems (including problems with non-local terms).
- Industrial applied mathematics (currently: linear friction welding, fire spread, bread-crust formation, pipe bending, green roofs).
- Mathematics applied to society (
*e.g.*housing allocation, crime). - Asymptotic methods.

- Runan He (2017 - present): Analysis of a Coupled PDE System Modelling Micro-Electro-Mechanical Systems. (Co-supervised with Heiko Gimperlein.)
- David Torkington (MIGSAA) (2017 - present): Mathematical Modelling of Energetic Materials. (Co-supervised with Heiko Gimperlein.)

- A.A.Lacey and M.N.Tsardakas, A Mathematical Model of Serious and Minor
Criminal Activity,
Eu. Jl. Appl. Maths., 2016,
**27(3)**, 403-421. doi:10.1017/S0956792516000139 - N.I.Kavallaris, A.A.Lacey and C.V.Nikolopoulos, On the Quenching of a Nonlocal Parabolic Problem
Arising in Electrostatic MEMS Control,
Nonlinear Analysis: Th. Meth. Appl., 2016,
**138**, 189-206. doi:10.1016/j.na.2016.02.001 - Rakesh, J.Tang and A.A.Lacey, Determining the twist in an optical fiber,
Inverse Problems, 2016,
**32**, 035008. doi:10.1088/0266-5611/32/3/035008 - I.J.Hewitt, A.A.Lacey and R.I.Todd, A Mathematical model for flash sintering,
Math. Model. Nat. Phenom., 2015,
**10(6)**, 77-89. doi:10.1051/mmnp/201510307 - A.A.Lacey and C.Voong, Transient Thermal Behaviour in a Model of Linear Friction Welding,
Jl. Eng. Maths., 2014,
**86**, 89-101. doi:10.1007/s10665-013-9650-9 - N.I.Kavallaris, A.A.Lacey, C.V.Nikolopoulos and D.E.Tzanetis, On the Quenching Behaviour of a Semilinear Wave Equation Modelling MEMS Technology, Discrete Cts. Dynam. Sys. -Ser. A, 2015,
**35**, 1009-1037. doi:10.3934/dcds.2015.35.1009 - C.C.Adley, M.J.Cooker, G.L.Fay, I.Hewitt, A.A.Lacey, N.Mellgren, M.Robinson and M.Vynnycky, A Mathematical Model of the Rainwater Flows in a Green Roof, Maths. Ind. Case Stud., 2014,
**6**, 1-21. - A.A.Lacey, Passage of High-Frequency Signals through Power Transformers, Intl. J. Num. Anal. Model. B, 2012,
**3**, 224 - 241. - D.A.Fidler and A.A.Lacey, Dynamics of Vertical Fire Spread, IMA J. Appl. Maths., 2012,
**78**, 1 - 27. - A.A.Lacey and C.Voong, Steady-State Mathematical Models of Linear Friction Welding, Q. J. Mechs. Appl Maths.,
2012,
**65**, 211-237. - S.D.Howison, A.A.Lacey and J.R.Ockendon,
Partial Differential Equations that are Hard to Classify, 2012,
Jl. Part. Diff. Eqs.,
**25**, 41-65. - N.I.Kavallaris, A.A.Lacey, C.V. Nikolopoulos and D.E.Tzanetis,
A Hyperbolic Non-Local Problem Modelling MEMS Technology, 2011,
Rocky Mountain Jl. Maths.,
**41**, 505-534. - A.A.Lacey, How Do Fish-Food Pellets Float?, 2008,
CIM Bulletin,
**25**, 10-17. - N.I.Kavallaris, A.A.Lacey, C.V. Nikolopoulos and C.Voong, Behaviour of a non-local equation modelling linear friction welding, 2007,
IMA Jl. Appl. Maths.,
**72**, 597-616. - N.I.Kavallaris, A.A.Lacey, C.V. Nikolopoulos and D.E.Tzanetis, Asymptotic analysis and estimates of blow-up time for the radial symmetric semilinear heat equation in the open-spectrum case, 2007,
Math. Meth. Appl. Sci.,
**30**, 1507-1526. - D.R.Jefferson, A.A.Lacey and P.A.Sadd, Crust Density in Bread Baking: Mathematical Modelling and Numerical Solutions, 2007,
Appl. Math. Mod.,
**31**, 209-225.

Last updated 13th September 2017.