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

Can You Pave the Plane with Identical Tiles?

Chuanming Zong

There is a long list of convex domains that can tile the Euclidean plane. To find the list and to show the completeness of the list is a unique drama in mathematics that has lasted for more than a century. This article reviews the dramatic progress.

Finding Solitons

Jorge Lauret

In this article we discuss and find solitons in many different contexts, including matrices, polynomials, plane curves, Lie group representations (moment maps), and the variety of Lie algebras, as well as in the context of geometric structures and their homogeneous versions on Lie groups.

Higgs Bundles—Recent Applications

Laura P. Schaposnik

This article is dedicated to introducing Higgs bundles and the Hitchin fibration, with a view towards their appearance within different branches of mathematics and physics, focusing in particular on the role played by the integrable system structure carried by their moduli spaces.

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