Interesting articles on "Notices of the AMS" or "MMA" about differential and Riemannian geometry

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Can you give reference and explain some interesting articles on "Notices of the AMS" or "The American Mathematical Monthly" about differential and Riemannian geometry have you ever read?

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A classic exposition is:

Anderson, Michael T. "Geometrization of 3-manifolds via the Ricci flow." Notices AMS 51 (2004): 184-193. (PDF download.)


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"The work of Perelman builds on prior work of Thurston and Hamilton. In the next two sections we discuss the Thurston picture of 3-manifolds and the Ricci flow introduced and analyzed by Hamilton."