The National Science Foundation (NSF) awarded a $152,702 Project Grant under the Integrative Activities (IA) program (CFDA 47.083) to the University of Kentucky Research Foundation (the Research Foundation) for the period of Jul 1, 2024 through Jun 30, 2027. The project, titled "Parameterized, Algebraic, and Chromatic Traces," will use symmetry to develop rich generalizations of topological invariants, such as the Euler characteristic. Key elements include: 1) Invariants for fixed...
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 $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 $217,000 Project Grant awarded by the National Science Foundation (NSF) Division of Mathematical Sciences supports research on computational structures in equivariant chromatic homotopy theory, with a focus on developing new techniques to advance computations related to Lubin-Tate theories and the study of homotopy groups of spheres. The award funds a range of projects that leverage recent discoveries in equivariant homotopy theory to drive progress in chromatic homotopy theory and...
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 $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...
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 Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $144,469 to the University of Washington from February 1, 2023 through July 31, 2024. The grant supports research exploring connections between equivariant and chromatic homotopy theory to produce computations in chromatic homotopy theory. Specifically, the Principal Investigator will study periodicity phenomena in the stable...
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...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $153,765 Project Grant to Wayne State University from August 1, 2023 to July 31, 2026. This award, funded under the Mathematical and Physical Sciences program (CFDA 47.049), supports research focused on applications of equivariant stable homotopy theory - a central part of algebraic topology involving the study of topological objects and generalized cohomology theories. The principal investigator will continue...