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Current Issue

Welcome to the current issue of the Notices of the American Mathematical Society. With support from AMS membership, we are pleased to share the journal with the global mathematical community.

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Clusters and Weaves

Mikhail Gorsky and José Simental

The goal of this article is to introduce weaves as a technique to construct cluster algebra structures on the coordinate rings of certain algebraic varieties that appear naturally in the study of Legendrian links and in Lie theory.
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Multiscale Modeling of Viscoelastic Fluids

Paula A. Vasquez

This review aims to introduce the reader to basic concepts related to viscoelastic fluids, focusing mainly on constitutive modeling. We note that each class of viscoelastic fluids has unique properties, posing different mathematical challenges.
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Topological Photonics: A Mathematical Perspective

Ross Parker and Alejandro Aceves

We will focus our discussion on three prototypical examples: the one-dimensional Su-Schrieffer-Heeger model, the two-dimensional Haldane model, and the model of a photonic Floquet topological insulator.
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