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B.Sc. (Hons) Mathematics, University of Strathclyde
Ph.D. Mathematics, University of Strathclyde
Chartered Mathmatician, awarded by Institute of Mathematics and its Applications


10/01/11 – Present: Lecturer in Mathematics, University of Glamorgan
07/06/08 – 31/12/10: Postdoctoral Research Fellow, University of Strathclyde
01/10/07 – 04/06/08: Teaching Assistant, University of Strathclyde
01/10/03 – 30/09/07: Graduate Teaching Assitant, University of Strathclyde


First Year Tutor
Module Leader: Partial Differential Equations, Further Calculus, Engineering Mathematics 1, Foundation Mathematics,
Tutor: Mathematics for Engineers, Postgraduate Certificate: Research
Main supervisor for two PhD students.


A. J. Walker and A. J. Mulholland, A Theoretical Model of an Ultrasonic Transducer Incorporating Spherical Resonators, IMA Journal of Applied Mathematics (submitted).

A. J. Walker, Liquid Crystal Modelling and Display Applications Workshop, Liquid Crystals Today, 2012, DOI:10.1080/1358314X.2012.656394

A. J. Walker and I. W. Stewart, Wave Induced Perturbations in Cylindrically Layered Smectic A Liquid Crystals, Zeitschrift fur angewandte Mathematik und Physik (Journal of Applied Mathematics and Physics), 63 (2012), 357–371.

A. J. Mulholland, J. W. Mackersie, R. L. O’Leary, A. Gachagan, A. J. Walker, and N. Ramadas, The use of Fractal Geometry in the Design of Piezoelectric Ultrasonic Transducers, Proceedings of the 2011 IEEE International Ultrasonics Symposium , Orlando, Florida, pp1559-1562, (2011), DOI: 10.1109/ULTSYM.2011.0387

A. J. Mulholland and A. J. Walker, Piezoelectric Ultrasonic Transducers with Fractal Geometry, Fractals, 2011, 19(4), 469-479.

A. J. Walker and A. J. Mulholland, A Theoretical Model of an electrostatic Ultrasonic Transducer incorporating Resonating Conduits, IMA J. Appl. Math., 2010, 75 (5), 796-810.

A. J. Walker and I. W. Stewart, Acoustic Waves in Compressible Planar Layered Smectic Liquid Crystals, J. Phys. Condens. Matter, 2010, 22, 325106.

A. J. Walker and I. W. Stewart, Poiseuille Flow of a Smectic A Liquid Crystal, Int. J. Eng. Sci., 48 (12), 1961-1970, 2010.

A. J. Walker and I. W. Stewart, Couette Flow of a Smectic A Liquid Crystal, J. Phys.: Condens. Matt., 2009, 21, 155101

A. J. Walker, A. J. Mulholland, E. Campbell and G. Hayward, A theoretical model of a new electrostatic transducer incorporating fluidic amplification, Ultrasonics Symposium, 2008. IUS 2008. IEEE, 2008, 1409-1412.

A. J. Walker, The alignment of cylindrically layered smectic A with director tilt on the boundaries, J. Phys. A: Math. Theor., 41, 385205, 2008.

A. J. Walker and I. W. Stewart, Layer undulations in a smectic C liquid crystal with weak anchoring, J. Phys. A: Math. Theor., 40, 11849—11861, 2007.

A. J. Walker and I. W. Stewart, Periodic disturbances in cylindrically layered smectic A, Mol. Cryst. Liq. Cryst., 478, 33-43, 2007.


Institute of Mathematics and its Applications
Edinburgh Mathematical Society
British Liquid Crystal Society
London Mathematical Society


Continuum dynamics and analysis of smectic liquid crystals.

Fractal designs of electrostatic and piezoelectric ultrasonic receivers.

Theoretical models of electrostatic ultrasonic transducers.

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