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LEAPS-MPS: Special Points, Moduli Problems, and Resolvent Filtrations — NSF Award to Carleton College (MN, $246,125)

Polynomials are ubiquitous across mathematics, engineering, and the physical and social sciences. We describe the motion of bodies, predict the behavior of complex systems, and design cryptographic techniques via the language of polynomials. Understanding how polynomial solutions depend on their coefficients is a funda

Award titleLEAPS-MPS: Special Points, Moduli Problems, and Resolvent Filtrations
Award ID2418943
AwardeeCarleton College
CityNORTHFIELD
StateMN
Amount obligated$246,125
Principal investigatorClaudio Gonzales
ProgramLEAPS-MPS
Start date09/01/2024
AbstractPolynomials are ubiquitous across mathematics, engineering, and the physical and social sciences. We describe the motion of bodies, predict the behavior of complex systems, and design cryptographic techniques via the language of polynomials. Understanding how polynomial solutions depend on their coefficients is a fundamental and long-standing problem in mathematics. This project concerns a recently formalized measure of complexity --resolvent degree -- introduced to quantify the difficulty of so
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