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.

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Featured Articles and Invitations from the AMS

A.T.V.’s for (Geometric) Off-roading: A Gentle Introduction to Arithmetic Toric Varieties

Patrick K. McFaddin

The purpose of this article is to give a small sampling of the theory of arithmetic toric varieties, focusing on simple examples in low dimension using explicit polynomial equations. A second goal is to highlight the class of arithmetic toric varieties as the most natural testing ground to study the limitations of algebro-geometric invariants in the arithmetic setting.

Conway’s Mathematics After Conway

Alex Ryba, Philip Ehrlich, Richard Kenyon, Jeffrey Lagarias, James Propp and Louis H. Kauffman

John Conway challenged and inspired us in many different ways. His influence can be seen across so many areas of mathematics that a complete account would fill many volumes, which would continue to expand forever. These three articles present very different parts of mathematics where modern approaches are built on foundations laid by John.

Foliations on Complex Manifolds

Carolina Araujo and João Paulo Figueredo

In this article we survey some aspects of the theory of holomorphic foliations on complex manifolds. We briefly discuss some of the early works on this theory, mostly concerned with the local behavior of the leaves near the singularities. We then move the focus from local to global properties.

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