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Positive and Mixed Characteristic Birational Geometry and its Connections with Commutative Algebra and Arithmetic Geometry

US NSF grant open #nsf-2602580

Summary

Algebraic geometry is an important field of mathematics whose goal is to understand fundamental geometric shapes called algebraic varieties. The study of such shapes is a source of many applications, for example, in cryptography, engineering, or biology. The principal investigator's research centers around algebraic varieties and singularities in arithmetic settings. The PI plans to expand and build upon recent breakthroughs in arithmetic and complex geometry to increase our understanding of such objects. The PI will involve graduate students in this research and organize workshops aimed at ea

Positive and Mixed Characteristic Biration…
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