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What are recent developments, and/or cutting-edge topics in your field of expertise?

I am trying to get a better sense of contemporary research in various mathematics fields and what current researchers are generally focusing on. I have heard that Scholze’s work in Perfectoid Spaces have been a major development recently in Algebraic Geometry and Number Theory, but that is a very specific regime.

submitted by /u/supersymmetry
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from math http://bit.ly/2EOT0S3
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