Project Grant 2302174
- The National Science Foundation awarded the University of California, Los Angeles a three-year $161,269 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research investigating the computational complexity of computing certain structure constants in algebraic combinatorics, such as Kronecker coefficients. Specifically, the university will advance understanding of the asymptotics and complexity of computing Schubert coefficients, plethysm...
- The University of Southern California Department of Contracts and Grants Division was awarded a $210,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will fund research to develop simple combinatorial rules for computing Schubert structure constants via Kohnert combinatorics. This classical enumerative geometry problem involves counting linear subspaces...
- The University of Southern California was awarded a $353,255 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research into higher algebraic structures in symplectic geometry and their applications from July 2021 through June 2024. As part of the Mathematical and Physical Sciences program's goal of strengthening the nation's scientific enterprise through advancing...
- Federal Grant Award Summary The University of Southern California received a $251,133 collaborative research project grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) on August 1, 2025, with a project completion date of July 31, 2028. This project explores interactions between multigraded commutative algebra, toric varieties, and homological mirror symmetry—disciplines that bridge algebraic geometry...
- The National Science Foundation awarded a $275,000 Project Grant to the University of Southern California under the Mathematical and Physical Sciences program (CFDA 47.049) from July 1, 2023 to June 30, 2026. The grant funds the development of new exploratory data analysis and inference methods for complex data that lack fundamental vector space properties. The university will create a practical toolkit of theoretically sound, user-friendly tools to enable common data analysis tasks like...
- The University of Southern California was awarded a $120,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will support collaborative research to develop new classification theory and methods for addressing challenges related to objective asymmetry, small sample sizes, labeling ambiguity, and determining feature importance. The research aims to advance scientific...
- The University of Southern California was awarded a $195,000 Project Grant from the National Science Foundation on May 1, 2021 to complete an analysis of algebraic varieties from the perspective of motivic homotopy theory by April 30, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding of major issues through support of mathematical and physical sciences research and education activities....
- The National Science Foundation (NSF) awarded a $180,000 Project Grant to the University of Southern California (USC) Department of Contracts and Grants Division under the Mathematical and Physical Sciences (CFDA 47.049) program. The 3-year grant will support research on "Combinatorial Representation Theory of Quantum Groups and Coinvariant Algebras." The project aims to further develop combinatorial diagrams called "web bases" that encode the representation category of...
- The National Science Foundation awarded a $640,000 Project Grant to the University of Southern California under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to support research on dynamical approaches for complex stochastic systems from July 2022 to June 2025. The principal investigators will undertake multiple research projects with a focus on dynamic optimization and game problems involving complex stochastic systems. This includes new methodologies for general...
- Federal Project Grant Award Summary The University of Southern California received a $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded on June 15, 2025, with a completion date of May 31, 2028. This award supports fundamental research in quantitative symplectic geometry in higher dimensions, with the principal investigator developing new mathematical tools and methodologies to study rigidity and flexibility properties of...
The National Science Foundation awarded the University of Southern California a $138,730 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research from June 2023 to May 2026 aimed at advancing understanding of the computational complexity of certain fundamental numbers and polynomials in algebraic combinatorics. Specifically, the university will study the asymptotics and complexity of computing structure constants such as Kronecker, plethysm, and Schubert coefficients that comprise open problems in the field. Understanding the computational behavior of these objects could explain their longstanding elusiveness and provide insights into the separation of computational complexity classes VP and VNP. Broader impacts may include new lower bounds for problems like matrix multiplication and computing the permanent. The grant supports the program's goals of strengthening the nation's scientific enterprise through increased mathematical and physical sciences knowledge.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $138.7k | 4/24/23 |