Georgia Institute of Technology College of Sciences

Reaction diffusion equations are a common tool in mathematical biology, and are used in diverse fields such as ecology, epidemiology and developmental biologyI will show some examples of reaction diffusion equations and what their solutions look like. I will focus on the problem of pattern formation during development and the mathematics that underly it, a problem first studied by Alan Turing more than 60 years ago. I will present a basic example that we can solve together using techniques from differential equations and linear algebra.

Examples of analytic fractals are Julia sets, Koch Curves, and Sierpinski triangles, and graphs of analytic functions. Given a piece of such a set, how does one "continue" it, in a manner consistent with the classical construction of an analytic Riemannian manifold, starting from a locally convergent series expansion?

Science explains through systematic inquiry; magic celebrates that which defies explanation. This will be tour of sorts along the boundary between science and magic. We will explore the magic of quantum mechanics, the predictions of knot theory, and randomness, as well as the mysteries of the number 58008.