University of Washington

The Schramm-Loewner evolution (SLE) is a family of random fractal curves that arise in a natural manner as scaling limits of interfaces in planar critical lattice models from statistical mechanics. The SLE curves exhibit many interesting geometric...

One of the major developments in number theory during the 20th century is the invention of class field theory. In this talk we will recall some highlights of this theory, and explain how to apply it to solve geometric problems. In particular, we will...

Statistical modeling amounts to specifying a set of candidates for what the probability distribution of an observed random quantity might be. Many models used in practice are of an algebraic nature in that they are defined in terms of a polynomial...

Northwest Probability Seminars are mini-conferences held at the University of Washington and/or Microsoft Research and organized in collaboration with the Oregon State University, the University of British Columbia and the University of Oregon. There...

OverviewA three-week summer school giving advanced undergraduates and beginning graduate students the opportunity to study with the University of Washington's integrated Inverse Problems/PDE group. Students will attend lectures in the morning and...

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 Cascade Topology Seminar is a bi-annual gathering of topologists from the Pacific Northwest and Southwestern Canada.

Quantum computers are hypothetical devices based on quantum physics that can out-perform classical computers. A famous algorithm by Peter Shor shows that quantum computers can factor an n-digit integer in n³ steps, exponentially better than the...

The study of nonnegative polynomials is a basic problem in real algebraic geometry. Truncated moment problem is a classical question in real analysis. Symmetric tensor decompositions are of interest in many areas of applied mathematics. The main goal...

The origins of "arithmetic invariant theory" come from the work of Gauss, who used integer binary quadratic forms to study ideal class groups of quadratic fields. The underlying philosophy---parametrizing arithmetic and geometric objects by orbits of...