Project Grant 2404503

Award Date 7/1/24
Completion Date 6/30/27
Dollars Obligated $153K
Funding Federal Agency
Office of Integrative Activities
Awarding Federal Agency
Division of Mathematical Sciences
Federal Grant Program
47.083
Assistance Type
Project Grant
Place of Performance
Lexington, KY 40526, USA
Similar Awards
The National Science Foundation (NSF) awarded a $149,329 Project Grant under its Integrative Activities (IA) program to Louisiana State University (LSU) on July 1, 2024. The grant will fund research exploring the rich interplay between geometric representation theory, algebraic combinatorics, algebraic geometry, mathematical physics, and symplectic geometry. Specifically, the project aims to: 1) introduce a new class of additive analogues of spherical varieties using Poisson-Lie group theory, 2)...
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 National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
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 3-year, $155,000 Project Grant under the Integrative Activities (CFDA 47.083) program to the Board of Regents of the University of Nebraska, doing business as the University of Nebraska, for research in commutative algebra and algebraic geometry. The project focuses on three areas: symbolic powers of ideals and higher-order polynomial interpolation, homological properties of symmetric ideals, and the algebraic Lefschetz property. The research...
The National Science Foundation (NSF) awarded a $268,071 Project Grant to North Carolina State University (NC State) under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on categorical symmetries of operator algebras. The project aims to provide a classification of approximately finite-dimensional actions of amenable tensor categories on approximately finite-dimensional C*-algebras, and to generalize a previously developed categorical invariant for group actions...
The National Science Foundation (NSF) awarded a $141,963 Project Grant under the Integrative Activities (IA) program (CFDA 47.083) to Kansas State University (KSU) to develop a theory encompassing exponential integrals and their relationship to quantum physics and geometric structures. The 3-year project, starting on August 1, 2024, will study the de Rham and Betti cohomology theories associated with exponential integrals, including comparison isomorphisms, in the framework of complex manifolds....
This $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $110,000 Project Grant to the University of Kansas Center for Research Inc. to study the singularities of algebraic varieties and develop methods to precisely quantify the complexity of polynomial systems through the use of invariants. This 3-year grant, which runs from September 1, 2023 to August 31, 2026, will train graduate students in technical mathematical research, implementation of results using...
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) 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 points, periodic points, and flows refining the Euler characteristic; 2) Generalizations of algebraic Lefschetz and Riemann-Roch theorems to endomorphisms; and 3) Traces in topological settings with significant algebraic structure. The project will also involve graduate student mentoring, summer school organization, and undergraduate quilting projects to attract students to mathematics. This award reflects NSF's objectives to enhance research capabilities, foster interdisciplinary collaboration, and build critical infrastructure for the nation's STEM enterprise.

Generated 1/28/25, 7:34 AM