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

Bridging Data Science and Dynamical Systems Theory

Tyrus Berry, Dimitrios Giannakis and John Harlim

Our main thesis is that combining ideas from the theory of dynamical systems with learning theory provides an effective route to data-driven models of complex systems, with refinable predictions as the amount of training data increases, and physical interpretability through discovery of coherent patterns around which the dynamics is organized.

The Prym Map: From Coverings to Abelian Varieties

Angela Ortega

Abelian varieties are very important objects that lie at the crossroads of several areas in mathematics: algebraic geometry, complex analysis, and number theory. So they can be studied from different points of view. The main idea we want to convey in this article is that one can construct and study abelian varieties using curves and its surrounding geometry.

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