I work in differential geometry and the application of geometry to the study of partial differential equations. Specifically, my work has focused on conservation laws, Backlund transformations, ...

Sometimes a shape is transformed using more than one step, for example a reflection followed by a rotation. The combination of transformations can usually be described as a single transformation.

Learn about symmetry with this BBC Bitesize Maths article. For students between the ages of 11 and 14. Congruent and similar shapes Learn about congruent and similar shapes with this BBC Bitesize ...