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

Computational Nonimaging Geometric Optics: Monge-Ampère

Gerard Awanou

The goal of computational nonimaging geometric optics is the efficient design of optical lenses and mirrors for the accurate control of light. Freeform illumination design, i.e., with no a priori symmetry assumption, often leads to numerically solving a nonlinear second order partial differential equation of Monge-Ampère type with nonlocal boundary conditions.

Exceptional Groups and Their Modular Forms

Aaron Pollack

Automorphic forms are functions that have large groups of discrete symmetries and satisfy particular types of differential equations. This article is about automorphic forms, with a special emphasis on those automorphic forms whose groups of symmetries are connected to the exceptional Lie groups.

Model Theory and Differential Equations

Joel Nagloo

In this article, we give an overview of recent applications of model theory to the study of differential equations. The focus will be on the role of the classification problem for strongly minimal sets and on results in functional transcendence.

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