Project Grant 2110731
- 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...
- 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 $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...
- 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 National Science Foundation Project Grant award of $335,978 provides funding from August 1, 2022 through July 31, 2025 to develop novel robust optimization algorithms for deep learning under the federal Mathematical and Physical Sciences grant program (CFDA 47.049). Specifically, the University of Kentucky Research Foundation will create two new classes of optimization algorithms building on preconditioning and conjugate gradient methods but incorporating ideas from normalization and...
- 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 (NSF) has awarded a $100,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to Michigan Technological University. The grant will fund the development of novel finite element methods for solving nonlinear eigenvalue problems, which have important applications in science and engineering. The project focuses on recasting these problems as eigenvalue problems of holomorphic Fredholm operator functions, and developing effective...
- 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 University of Kentucky Research Foundation was awarded a $158,033 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant supports the collaborative research project "TRACE Methods and Applications for Cut-and-Paste K-Theory" from July 1, 2021 to June 30, 2024. The project aims to advance mathematical knowledge and understanding of major problems in the mathematical and physical sciences, as outlined in the Mathematical and Physical...
- 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 progress in the mathematical sciences. It focuses on developing new theories and algorithms for solving eigenvector-dependent nonlinear eigenvalue problems, which have applications across engineering and the sciences. The Research Foundation will deliver research and development of mathematical techniques over the three-year period using the federal funding.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $324.8k | 8/17/21 |