Project Grant 2501468
- The University of Kentucky Research Foundation was awarded a $160,000 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. The grant will fund collaborative research on toric geometry, tropical geometry, and combinatorial buildings from September 2021 through August 2024. The research...
- This Project Grant award of $154,989, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by Carnegie Mellon University (CMU) on positive vector bundles in combinatorics, with a focus on matroids and their applications. The research aims to deepen the interaction between combinatorics and algebraic geometry, addressing long-standing conjectures in matroid theory and exploring implications for areas such as...
- This $313,823 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in Brill-Noether theory to advance the study of curves in algebraic geometry. The research program includes undergraduate research opportunities through the Math Lab at the University of Kentucky, as well as establishing an annual workshop for the Kentucky-Ohio Algebra Alliance to foster a community of mathematicians working in...
- The University of Kentucky Research Foundation was awarded a $122,649 Project Grant by the National Science Foundation's Integrative Activities (CFDA 47.083) program on August 15, 2024. The grant supports research to advance computational knowledge in the area of classifying mappings of high-dimensional spheres onto lower-dimensional spheres, with a focus on preserving special symmetries. The work will leverage recent theoretical developments in motivic and synthetic homotopy theory, and...
- This $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) provides $266,401 to The University of Kentucky Research Foundation to study two classes of objects related to the theory of cluster algebras. The first objective is to develop a thorough understanding of SL_k friezes and tilings, which are combinatorially defined arrays of numbers connected to Grassmannian cluster algebras. The second aim is to classify...
- This $210,000 Project Grant awarded by the National Science Foundation Division of Mathematical Sciences under the CFDA Program 47.049 "Mathematical and Physical Sciences" will fund research in algebraic combinatorics and braid varieties. The project aims to use algebraic methods to produce new combinatorial results with applications in areas like cryptography, protein folding, high-energy physics, and quantum computing. Specifically, the funds will support exploring the use of braid...
- This federal Project Grant award of $288,480.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support fundamental mathematical research to advance the understanding of the connections between addition and multiplication in number systems. The principal investigator will develop new techniques in additive combinatorics and multiplicative number theory to tackle complex problems involving prime numbers, smooth numbers, and general...
- This $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
- This $200,000 four-year project grant was awarded by the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to North Carolina State University to conduct research in geometric topology, including the study of knots, three- and four-dimensional shapes, and the development of tools to measure the complexity of these objects. The project aims to produce new exotic smooth four-manifolds, study surfaces in four-manifolds, and apply instanton gauge theory to address...
This $359,756 Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) will support research at the University of Kentucky Research Foundation to advance the understanding of geometric structures called vector bundles and their applications in several fields of mathematics. The key products and services to be delivered through this 3-year project include: The overarching scientific goals are to apply results from toric vector bundle theory to investigate objects from algebraic geometry and combinatorics, while also providing research training opportunities for graduate and undergraduate students. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $359.8k | 7/31/25 |