Computer-based methods for the capture, construction, representation, fitting, interrogation and manipulation of complicated surfaces have led to a wide interest in, and need for, the mathematics of surfaces and related topics including curves, motions and computational geometry. Many applications require the use of surface descriptions, especially in such fields as computer aided design and manufacturing, isogeometric analysis, computer graphics, computer vision and computer animation. The description of surfaces is also of interest in geographic information systems, multimedia, and many other areas of science and medicine. This diversity and the wide range of applicability of the subject have already enabled the IMA to hold fourteen very successful international conferences in the Mathematics of Surfaces series. The 15th such conference has now been scheduled to be held at the University of Bath, UK, in September 2016. A number of international speakers are being invited.