Self-similar images are rather common, which are images in which the same image is repeated on a smaller scale somewhere ...

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.

Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about. In the early 1800s, William Rowan Hamilton discovered a new kind of ...

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, ...