This is a growing list of talks I have given to non-expert audiences.
A hopefully simple lecture aimed at undergraduates about how string theory alters our geometrical intuition. (A little dated now: this was written as the second superstring revolution was unfolding.)
A colloquium-style talk for mathematics PG students about how to listen to the shape of the universe from the cosmic microwave background.
A light-hearted general-interest talk aimed at Edinburgh maths undergraduates, tracing the notion of space from Newton to the present day.