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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.
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.
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.
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A new section for 2019 whose articles discuss and highlight reports, surveys, trends, and the pivotal role education plays in STEM.
AMS President Jill Pipher to Congress: "No Longer Secure: Cryptography in the Quantum Era"
Poisson Processes and Linear Programs for Allocating Shared Vehicles
A Stand-Up Makes a Math Joke...and It Lands
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