
This article is dedicated to introducing Higgs bundles and the Hitchin fibration, with a view towards their appearance within different branches of mathematics and physics, focusing in particular on the role played by the integrable system structure carried by their moduli spaces.

There is a long list of convex domains that can tile the Euclidean plane. To find the list and to show the completeness of the list is a unique drama in mathematics that has lasted for more than a century. This article reviews the dramatic progress.

In this article we discuss and find solitons in many different contexts, including matrices, polynomials, plane curves, Lie group representations (moment maps), and the variety of Lie algebras, as well as in the context of geometric structures and their homogeneous versions on Lie groups.

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Congressional Briefings April 2020 AMS President Jill Pipher to Congress: "No Longer Secure: Cryptography in the Quantum Era"
Keystones Probabilistic Inference for Trust
Math Outside The Bubble March 2020 Your Favorite Field a Superpower?
Math Reviews® News March 2020 Mathematics Subject Classification 2020
Short Stories March 2020 Angenent’s Shrinking Doughnuts
Washington Update December 2019 What the AMS Office of Government Relations is doing to connect the mathematics community to DC decision makers.
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