Project Grant 2403798
- 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 National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award for $148,792 supports the project "RATIONAL AND EQUIVARIANT PHENOMENA IN CHROMATIC HOMOTOPY THEORY" at the University of Kentucky Research Foundation (the Research Foundation) from August 15, 2023 to July 31, 2026. The key objectives of the research project are to solve open problems in chromatic homotopy theory, including understanding how spheres of different dimensions can wrap around each...
- The National Science Foundation awarded a $313,823 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Kentucky Research Foundation. The grant supports research in Brill-Noether theory, which explores the intrinsic properties of curves and their mappings into target spaces, a fundamental topic in algebraic geometry. This research will be conducted in conjunction with an undergraduate research program at the University of Kentucky Math Lab and...
- The University of Kentucky Research Foundation was awarded a $292,882 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant will fund research related to tropical methods in the study of moduli spaces of families of curves from June 1, 2021 to May 31, 2024. Specifically, the grant supports work developing algebraic and topological techniques to study moduli spaces of algebraic curves using tropical geometry. This aligns with the goals of the National...
- This $266,401 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research at the University of Kentucky Research Foundation on two classes of mathematical objects closely related to the theory of cluster algebras. The project aims to develop a thorough understanding of SL_k friezes and combinatorial models for Cohen-Macauley subcategories of Jacobian algebras, which are connected to the...
- The University of Kentucky Research Foundation was awarded a $324,815 Project Grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021 to complete the project by August 31, 2024. The grant funds the project "Theory and Algorithms for Eigenvector-Dependent Nonlinear Eigenvalue Problems" under the Mathematical and Physical Sciences program (CFDA 47.049). The project aims to advance understanding of major problems in mathematics by promoting...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research on lattice polytopes, which are geometric structures with important applications across mathematics and the sciences. The $287,952 award to the University of Kentucky Research Foundation will fund a 3-year project to study three key classes of lattice polytopes and their geometric and algebraic properties, including flow polytopes, graphical Hermite...
- The National Science Foundation Division of Mathematical Sciences awarded a $193,218 Project Grant to The University of Kentucky Research Foundation from August 15, 2021 through July 31, 2024. The grant supports research titled "CLUSTER ALGEBRAS AND CATEGORIFICATION" under the Mathematical and Physical Sciences program (CFDA 47.049). This three-year Project Grant will fund mathematical research into cluster algebras and categorification at The University of Kentucky. Cluster algebras...
- The National Science Foundation (NSF), through its Integrative Activities program (CFDA 47.083), has awarded a $153,804 project grant to New Mexico State University (NMSU) for the period of July 1, 2023 to June 30, 2026. The grant will fund research by NMSU to advance equivariant homotopy theory, a field that studies the symmetries of geometric shapes. Key objectives include developing generalized Steenrod operations and equivariant analogs of Stiefel-Whitney classes, which have applications...
- The National Science Foundation (NSF) awarded a $288,480 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to The University of Kentucky Research Foundation. The award will fund a research project titled "Additive Combinatorics and Multiplicative Functions" from August 15, 2025 to July 31, 2028. The project aims to advance fundamental mathematical knowledge by developing new tools to understand the deep connections between addition and...
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 integrate mentoring activities for the Electronic Computational Homotopy Theory (ECHT) community to increase access for geographically restricted and physically disabled participants. Key technical objectives include computing equivariant stable homotopy groups and establishing the height 1 telescope conjecture in R-motivic and cyclic-2-equivariant settings. No subawards are planned for this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $122.6k | 4/26/24 |