University of Washington

Abstract: Where should one look to find bases satisfying strong uncertainty relations? Position and momentum lead the way: it's hard to do better than any orthonormal basis and its Fourier transform. The natural generalization to so-called mutually...

Although the topic of stability of solutions of partial differntial equations is important in almost any application area, the most powerful techniques one uses to examine stability are hardly ever taught in courses. This is mainly because many of...

Abstract: After reviewing ordinary finite-dimensional Morse theory, I will explain how Morse generalized Morse theory to loop spaces, and how Floer generalized it to gauge theory on a three-manifold. Then I will describe an analog of Floer cohomology...

Mini Courses: The Radon transform and the X-Ray Transform ( Robin Graham, Peter Kuchment, and Leonid Kunyansky) This course will present in detail the essential properties of these transforms, including inversion formulas. The X-ray transform models...

Abstract In the last 25 years, Elliptic Curve Cryptography has become a mainstream primitive for cryptographic protocols and applications. This talk will give a survey of elliptic curve cryptography and its applications, including applications of...

Abstract The general linear Lie algebra gln(C) -- endomorphisms of an n-dimensional complex vector space V with operation [x,y] being the commutator xy−yx -- is the most basic example of a Lie algebra. If we assume instead that the vector space V is...

Random flag complexes are a natural generalization of random graphs to higher dimensions, and since every simplicial complex is homeomorphic to a flag complex this puts a measure on a wide range of possible topologies. In this talk, I will discuss...

UW-PIMS Mathematics Colloquium

In this talk the speaker will identify elementary mathematical frameworks for the study of old and new drag racing beliefs. In this manner some myths are validated, while others are destroyed. The first part of the talk will be a historical account...

In this talk we'll look into how modelers use and compromise mathematics in industry, specifically finance, internet advertising and social media, and education. The goal of the talk is to encourage mathematicians to be more engaged with the way math...