The first lecture is a research talk:

Topological Data Analysis and the Euler Characteristic Curve

The second two are an attempt, in two parts, to explain some of the basics of probability and stochastic processes to an audience of topologists who, by training, are not only unable to distinguish between bagels and coffee cups, but, a fortiori, between the two sides of a coin.

Probability and Stochastic Processes for Persistent Homologists: Lecture 1

Probability and Stochastic Processes for Persistent Homologists: Lecture 2