Project Grant 2607989
- The National Science Foundation Division of Mathematical Sciences awarded The University of Kentucky Research Foundation $180,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and apply mathematical tools for studying symmetry and cohomology in algebraic geometry, representation theory, and topology. The project centers on two primary research goals: computing stable cohomology of line bundles on flag varieties in arbitrary characteristic...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Kentucky Research Foundation $235,971 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop structure-aware tensor recovery methods via deep operator learning. The project creates mathematical and computational methods integrating tensor representations with artificial intelligence to recover reliable information from incomplete, noisy, or corrupted...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $288,480 to The University of Kentucky Research Foundation on August 15, 2025, under the Mathematical and Physical Sciences (CFDA 47.049) program to advance fundamental research in additive combinatorics and multiplicative functions through July 31, 2028. The principal investigator will develop novel mathematical techniques and tools to understand the connections between additive and...
- Federal Project Grant Summary The National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded The University of Kentucky Research Foundation a $359,756 project grant effective August 1, 2025, through July 31, 2028, to conduct fundamental mathematical research on toric bundles, tropical bundles, and Khovanskii bases. The project will advance understanding of vector bundle theory and its applications across algebraic geometry and combinatorics by extending classical...
- Federal Grant Award Summary The University of Kentucky Research Foundation received a $287,952 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period August 1, 2025 through July 31, 2028. The project focuses on advancing the theoretical and computational understanding of lattice polytopes—convex polytopes with vertices at integer coordinates—derived from graphs and networks. The...
- This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports the development of mathematical foundations and statistical methods for analyzing data with complex geometric structure. Awarded to the University of North Carolina at Chapel Hill on August 1, 2025, with total obligated funding of $299,978 through July 31, 2028, the project addresses fundamental challenges in data analysis for...
- Federal Project Grant Award Summary The University of Kentucky Research Foundation received a $313,823 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period September 1, 2025 through August 31, 2028. The award supports research in tropical Brill-Noether theory, advancing fundamental knowledge in algebraic geometry through investigation of curve mappings, Hurwitz spaces, and moduli...
- Federal Grant Award Summary The University of Kentucky Research Foundation received a $266,401 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for research activities spanning August 1, 2025 through July 31, 2028. The project focuses on fundamental research at the intersection of algebra and combinatorics, specifically investigating two classes of mathematical objects related to cluster...
- 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 Division of Mathematical Sciences awarded Drexel University $100,000 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and methodology for statistical inference on spatiotemporal rates of change and gradients, with application to boundary assessment in spatiotemporal datasets. The project will create statistical and computational methods to quantify and understand change within large, complex spatiotemporally...
The National Science Foundation Division of Mathematical Sciences awarded $202,898 to The University of Kentucky Research Foundation on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop geometry-aware methods for comparing distributional data in large-scale datasets. The project addresses computational efficiency in analyzing probability distributions arising from medical imaging, DNA sequencing, and physical experiments. The investigator introduces and analyzes a family of distributional metrics derived from joint extension of stochastic localization, examining these metrics from theoretical, computational, and applied perspectives. The work characterizes mathematical properties of the metrics, including topologies induced relative to existing distributional metrics, geodesic structures, and associated summary statistics. The deliverables include scalable distributional analysis tools applicable across scientific domains, contributing to trustworthy machine learning and artificial intelligence development identified as a national strategic priority. The project also supports graduate student training, curriculum design, and public engagement in workforce development. Performance occurs in Lexington, Kentucky, with a period of performance through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $202.9k | 7/22/26 |