Past Events

We present quick, simple, and easy solutions to hard software problems such as security vulnerabilities, memory leaks, addressing errors, infinite loops, program optimization, and automatic parallelization. Each solution is implemented as an...

In the first lecture of this series the square of a Gaussian field was related to the local time of random walk and a Poisson process of random loops. In this lecture I will show how to "get rid" of the loops and end up with a representation for self...

The continual increase in the human population and our demands on the Earth's limited resources, raises the urgent mandate of understanding the degree to which our actions are sustainable. This is an enormous scientific challenge and mathematics...

The classical McKay correspondence relates the geometry of Kleinian singularities to the representation theory of finite subgroups of SL(2,C). We will review the fascinating history. An intriguing application leads to an explicit classification of...

Cobordisms have played an important role in the classification of manifolds through work of Rene Thom from the 1950s. In a different way, they are fundamental to the mathematical formulation for topological quantum field theory of Atiyah, Segal and...

In a statistical world faced with an explosion of data, regularization has become an important ingredient. In many problems, we have many more variables than observations, and the lasso penalty and its hybrids have become increasingly useful. This...

Natural dualities, such as Stone duality, are useful because they allow one to translate algebraic questions into the potentially simpler and usually more intuitive setting of a topological structure. Dualities are also tricky, in the sense that it...