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LEAPS-MPS: Combinatorial Aspects of Finite and Infinite Free Resolutions — NSF Award to Marshall University Research Corporation (

Polynomials and polynomial systems are fundamental in the study of mathematics and in its applications, with appearances in fields ranging from robotics to medical imaging to biochemical reaction networks. Commutative algebra, along with algebraic geometry, is the study of polynomial systems and their solutions. One po

Award titleLEAPS-MPS: Combinatorial Aspects of Finite and Infinite Free Resolutions
Award ID2532902
AwardeeMarshall University Research Corporation
CityHUNTINGTON
StateWV
Amount obligated$185,266
Principal investigatorAleksandra Sobieska Snyder
ProgramOFFICE OF MULTIDISCIPLINARY AC
Start date09/15/2025
AbstractPolynomials and polynomial systems are fundamental in the study of mathematics and in its applications, with appearances in fields ranging from robotics to medical imaging to biochemical reaction networks. Commutative algebra, along with algebraic geometry, is the study of polynomial systems and their solutions. One powerful tool to obtain information about a polynomial system is a minimal free resolution, which can be thought of as a step-by-step unfolding of a polynomial system into simpler, m
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