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

Demographic Population Cycles in Infectious Salmon Anemia Models

Abdul-Aziz Yakubu

To help quantify possible infectious salmon anemia (ISA) disease control and mitigation strategies, in this paper, we introduce discrete-time mathematical models of ISA disease transmission dynamics in salmon fish farms and wild fisheries in close proximity. For these models, we compute the threshold parameter for ISA disease elimination or invasion.

Model Selection for Optimal Prediction in Statistical Machine Learning

Ernest Fokoué

At the heart of this article is the theoretical result known as the no free lunch theorem, which reveals, both implicitly and explicitly, that the theoretical bounds studied extensively by experts do not help much when it comes to practically selecting the optimal predictive model. Optimal predictive modelling is both a science and an art, requiring both mathematical and statistical rigor along with practical computational common sense.

Surface Bundles in Topology, Algebraic Geometry, and Group Theory

Nick Salter and Bena Tshishiku

This article illustrates how the theory of surface bundles comes into close contact with a broad range of mathematical ideas. We focus on connections with three areas—algebraic topology, algebraic geometry, and geometric group theory—and see how the notion of a surface bundle provides a meeting ground for these fields to interact in beautiful and unexpected ways.

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