Project Grant 2451533
Award Date 9/1/25
Completion Date 8/31/28
Dollars Obligated $314K
Federal Agency
Federal Grant Program
Assistance Type
Project Grant
Place of Performance
Lexington, KY 40526, USA
Similar Awards
- 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 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 $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 $119,093 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at North Carolina State University in commutative algebra, algebraic geometry, combinatorics, and singularity theory. The research aims to develop new formulas and computational methods with applications in areas like geometric modeling, investigate the multigraded structures of algebraic varieties, and advance the understanding of...
- This Project Grant award for $175,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research in algebraic geometry, a central branch of mathematics. The PI will focus on studying the geometry and enumerative geometry of KSBA spaces, which are a generalization of Deligne-Mumford's moduli spaces of curves to higher dimensions. This includes investigating the KSBA moduli spaces of anticanonical surfaces, Calabi-Yau hyperplane...
- 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: Leveraging recent advances in the theory of toric and tropical vector bundles to...
- This $116,251 Project Grant was awarded on August 1, 2025 by the Division of Mathematical Sciences (National Science Foundation) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The project aims to uncover hidden similarities and uniform behavior among objects studied in the fields of commutative algebra, algebraic geometry, and arithmetic geometry. This research seeks to establish new results demonstrating unexpected uniform behavior in noetherian rings,...
- 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...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- This $144,500 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental and applied research in algebraic geometry and commutative algebra conducted by Purdue University. The research aims to expand the scope of birational geometry and the minimal model program, with a focus on studying singularities and their interactions with other mathematical fields like complex geometry and arithmetic geometry. The...
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 combinatorial algebraic geometry. The grant will fund this research initiative from September 1, 2025 through August 31, 2028 at the University of Kentucky.
Generated 10/21/25, 6:47 AM
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $313.8k | 8/22/25 |