University of Washington

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...

In number theory and diophantine geometry, the theory of "heights" is essential in studying finiteness questions. Roughly, they capture the "arithmetic complexity" of the object of study. We give a formula relating various notions of heights of...

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...

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...

The purpose of the workshop is to bring together CS Theory researchers (faculty, postdocs, graduate and senior undergraduate students) from PIMS universities (UBC, SFU, U Vic, UWashington) as well as some top researchers from North America and Europe...

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...

Standard Young tableaux are fundamental in combinatorics, representation theory, and geometry. In this talk, we will define these objects and discuss some of their remarkable properties. In particular, we will discuss the connection between the major...