Project Grant 2418943
- This $196,032 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on modeling disturbance and resilience in ecosystems and natural/social communities. The project aims to advance the mathematical theory of non-equilibrium dynamics, including generalizing resilience metrics beyond equilibrium states and investigating the impacts of periodic disturbances on continuous recovery processes. The research...
- This Project Grant award from the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049) provides $162,975 to Carleton College to conduct research on the properties of random groups and explore their connections to geometric group theory. The project aims to introduce and investigate a new model of random groups, focusing on understanding their "typical" properties. This includes studying relative cubulation and property (T) in this...
- This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
- This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $249,548 to Bryn Mawr College to support research related to solving polynomial equations, investigating monomial ideals and parking functions, and broadening participation in the mathematical sciences. The key products and services to be delivered include: Examining problems in commutative algebra through the study of minimal free resolutions of...
- This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $207,142 award to Oberlin College will fund investigations into several classical algebraic structures, including differential operators, almost complete intersections, and Gorenstein ideals. The project aims to develop new homological techniques to understand the geometric...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provided $153,842 to the Research Foundation of the City University of New York (RFCUNY) - Lehman College from September 1, 2023 to August 31, 2025. The grant supports research investigating the relationship between the geometry of curves defined by polynomial equations and the rate at which new solutions are found by augmenting beyond the rational numbers. The project also includes...
- This $170,379 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research by the Rose-Hulman Institute of Technology focused on extending the body of knowledge in Ehrhart theory, a mathematical discipline studying the connections between integer points and volumes. The key products and services to be delivered under this award include: Investigating the algebraic and enumerative properties of lattice...
- This Project Grant award of $119,093, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports research at North Carolina State University (NC State) in the areas of commutative algebra, algebraic geometry, combinatorics, and singularity theory. The award focuses on investigating rich multigraded structures that arise in algebraic varieties, with the goal of generating new insights at the intersection of algebra, geometry, and...
- This $300,000 Project Grant award from the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CFDA 47.070) program supports collaborative research at North Carolina State University (NC State) to develop new algorithmic approaches for efficiently and rigorously computing real solutions to systems of nonlinear polynomial equations. The project aims to advance both the mathematical theory and computational methods for solving such equations, which are...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $110,000 Project Grant to the University of Kansas Center for Research Inc. to study the singularities of algebraic varieties and develop methods to precisely quantify the complexity of polynomial systems through the use of invariants. This 3-year grant, which runs from September 1, 2023 to August 31, 2026, will train graduate students in technical mathematical research, implementation of results using...
This Project Grant award, valued at $246,125 and awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049), supports research at Carleton College aimed at advancing the theory of resolvent degree, a measure of complexity for solving polynomial equations. The key products and services to be delivered through this 2-year award include: 1) Developing computational techniques and improving existing theorems related to resolvent degree and adjacent areas of mathematics; 2) Formalizing ideas from the literature into general frameworks; and 3) Exploring new regimes that will inform future research trajectories. The project also plans to support community building amongst underrepresented student affinity groups, including developing researchers from their ranks and contributing to their professional development through conference attendance. Additionally, the award will fund undergraduate research projects involving data-scientific analyses, translations of classical mathematical literature, and the development of curricular units for math and math history courses to broaden perspectives in math education.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $246.1k | 8/1/24 |