University of Washington

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...

The operations of time shift (ƒ(t) → ƒ(t+1)) and frequency shift (ƒ(t) → e2πiωtƒ(t)) are fundamental ingredients of applied Fourier analysis, and the group of operators on L2(ℝ) that they generate gives a unitary representation of the so-called...

An exotic sphere is a smooth manifold which is homeomorphic, but not diffeomorphic, to a standard sphere. In which dimensions do there exist exotic spheres? I will discuss what we know about the answer to this question in terms of the classical work...

For bin packing, the input consists of n items with sizes s_1,...,s_n in [0,1] which have to be assigned to a minimum number of bins of size 1. The seminal Karmarkar-Karp algorithm from 1982 produces a solution with at most OPT + O(log^2 OPT) bins in...

Various notions of the "slope" of a real-valued function pervade optimization, and variational mathematics more broadly. In the semi-algebraic setting - an appealing model for concrete variational problems - the slope is particularly well-behaved...

In an inverse boundary value problem one is interested in determining the internal properties of a medium by making measurements on the boundary of the medium. In mathematical terms, one wishes to recover the coefficients of a partial differential...