University of Washington

The “cap set” problem asks the following question. Let S be a subset of an n-dimensional vector space over F_3 such that no three distinct elements of S are collinear. How big can S be? This is related to classical number theory questions about sets...

Diophantine problem (the problem of algorithmic solvability of equations) is one of the classical problems in mathematics. This problem is decidable in algebraically closed fields, in the fields of real and p-adic numbers. Diophantine problem for...

The Pacific Northwest Geometry Seminar (PNGS) is a regional meeting for geometers of all kinds. It is held once each academic year, rotating among Seattle, WA, Portland, OR, and Vancouver, BC. It is sponsored by Lewis and Clark College, Oregon State...

The SIAM Pacific Northwest Section (PNWS) holds a meeting every two years; this upcoming meeting is the second such meeting, and one of the main events organized by the SIAM PNWS. It provides a valuable opportunity for mathematicians with connections...

Northwest Probability Seminars are mini-conferences held at the University of Washington and organized in collaboration with the Oregon State University, the University of British Columbia and the University of Oregon. There is no registration fee...

I will discuss recent new developments in De Giorgi Conjecture for Allen-Cahn equation. In dimensions up to 10, we shall establish the C2,α estimates of level sets for stable solutions of Allen-Cahn. By applying reverse gluing method we show that the...

Many results in extremal graph theory can be formulated as inequalities on graph densities. While many inequalities are known,many more are conjectured. A standard tool to establish an inequality is to write the expression whose nonnegativity needs...

Algebraic geometry is the study of geometric objects defined as the solution set of a system of polynomial equations p1,…,pr∈F[x1,…,xn] where F is an algebraically closed field. After recent spectacular progress in the classification of varieties...

In several imaging modalities the measured data can be interpreted as the modulus of the Fourier transform of a function describing the unknown object. To reconstruct this object one needs to “recover” the un-measured phase of the Fourier transform...