PRESIDENT'S REPORT FOR VOLUME 52

Topological Fluid Dynamics, Volume 52, Number 1

T opological fluid dynamics is a young mathematical discipline that studies topological features of flows with complicated trajectories and their applications to fluid motions, and develops group-theoretic and geometric points of view on various problems of hydrodynamical origin. It is situated at a crossroads of several disciplines, including Lie groups, knot theory, partial differential equat...

Quiver Representations, Volume 52, Number 2

200 NOTICES OF THE AMS VOLUME 52, NUMBER 2 Introduction A quiver is just a directed graph.1 Formally, a quiver is a pair Q = (Q0,Q1) where Q0 is a finite set of vertices and Q1 is a finite set of arrows between them. If a ∈ Q1 is an arrow, then ta and ha denote its tail and its head, respectively. Let us fix a quiver Q and a base field K. Attach a finite dimensional vector space to each vertex ...

Whither Mathematics?, Volume 52, Number 11

Manifolds with Density, Volume 52, Number 8

Introduction We consider a Riemannian manifold M n with a positive density function Ψ (x) used to weight volume and hypersurface area. In terms of the underlying Riemannian volume dV 0 and area dA 0 , the new, weighted volume and area are given by

Nominations for President Elect, Volume 52, Number 8

Richard V. Kadison As attested to by his recent (2002) National Medal of Science, and a host of other honors, James Glimm is one of this country’s leading mathematical scientists. The citation for Jim’s Medal of Science states: “To James G. Glimm, Distinguished Leading Professor of Applied Mathematics and Statistics, State University of New York at Stony Brook and Brookhaven National Laboratory...