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

Recent Developments in Ricci Flows

Richard H. Bamler

It took several years for the scientific community to digest Perelman’s arguments and verify his proof. Perhaps the most intriguing goal was to find further applications of Ricci flow to problems in topology. This goal forms the central theme of this article. We summarize the important results pertaining to Perelman’s work and discuss more recent research in the same spirit.

The Hamilton-Jacobi Equation, Then and Now

Ryan Hynd

In this article, we will examine some of the mathematical developments concerning Hamilton-Jacobi equations since the mid-20th century. This includes the advent of viscosity solutions, the dynamic programming principle from control theory, and research directions involving interacting systems of particles and noncooperative differential games.

Transmission Eigenvalues

Fioralba Cakoni, David Colton and Houssem Haddar

A new eigenvalue problem in scattering theory has attracted attention both inside and outside the scattering community. This new problem is called the transmission eigenvalue problem and in a certain sense exhibits a duality relation to the theory of scattering resonances. The purpose of this article is to introduce this class of nonselfadjoint eigenvalue problems to the wider mathematical community.

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