Journal cover: Notices of the American Mathematical Society

Notices of the American Mathematical Society

For issues spanning 1954 to 2015, the complete Tables of Contents (TOCs) are fully accessible only by downloading the entire issue in PDF format. From 2016 onwards, the availability and detail of TOCs have significantly improved.

Table of Contents

Featured Articles and Invitations from the AMS

Designing Stable Elections

Steven Heilman

In this article, we survey the design of elections that are resilient to attempted interference by third parties. We discuss some recent progress on the analogous result for elections between more than two candidates, and we briefly discuss ranked choice voting methods.

On the Mathematics of Swarming: Emergent Behavior in Alignment Dynamics

Eitan Tadmor

Alignment originated as a key ingredient in self-organization—a unity from within which leads to the emergence of higher-order, large-scale patterns. It is found in ecology, in social dynamics of human interactions, and in sensor-based networks. We focus here on the emergent behavior of alignment dynamics.

The Structure of Homeomorphism and Diffeomorphism Groups

Kathryn Mann

The author gives a quick tour of what we know of the structure theory of homeomorphism and diffeomorphism groups and highlights a few recent developments both in this theory and in its relationship with the modern study of dynamical systems, focusing on the algebraic and dynamical structural properties.

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