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Collaborative Research: FRGMS: Multigraded Commutative Algebra, Toric Varieties, and Homol — NSF Award to University of South Caro

This project explores exciting new interactions between two central areas of mathematics - algebra and geometry - and their unexpected connections through physics. Algebra and geometry are foundational tools in mathematics, widely used in numerous scientific and engineering applications, such as computer science, data

Award titleCollaborative Research: FRGMS: Multigraded Commutative Algebra, Toric Varieties, and Homol
Award ID2412040
AwardeeUniversity of South Carolina at Columbia
CityCOLUMBIA
StateSC
Amount obligated$137,739
Principal investigatorMatthew Ballard
ProgramALGEBRA,NUMBER THEORY,AND COM
Start date08/01/2025
AbstractThis project explores exciting new interactions between two central areas of mathematics - algebra and geometry - and their unexpected connections through physics. Algebra and geometry are foundational tools in mathematics, widely used in numerous scientific and engineering applications, such as computer science, data analysis, robotics, and theoretical physics. Historically, the interplay between algebraic equations and geometric shapes has led to powerful methods and profound insights, shaping
SourceNSF Awards

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