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Positive and Mixed Characteristic Birational Geometry and its Connections with Commutative — NSF Award to Northwestern University

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 va

Award titlePositive and Mixed Characteristic Birational Geometry and its Connections with Commutative
Award ID2602580
AwardeeNorthwestern University at Chicago
CityEVANSTON
StateIL
Amount obligated$183,022
Principal investigatorJakub Witaszek
ProgramALGEBRA,NUMBER THEORY,AND COM
Start date03/01/2026
AbstractAlgebraic 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 suc
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