Project Grant 2601623
- This National Science Foundation Project Grant of $240,000 will support research using sheaf-theoretic methods in modular representation theory from September 1, 2022 to August 31, 2025. Under the Mathematical and Physical Sciences program (CFDA 47.049), the principal investigator at Louisiana State University will conduct research on three topics: the topology of global Schubert varieties, Kazhdan-Lusztig cells and tilting modules, and siltting complexes of coherent sheaves. This work aims to...
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $205,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate connections between number theory and quantum information theory. The project, titled "Explicit Class Field Theory from Quantum Modularity, Subspace Packings, and Convolution Identities," seeks to unify major open problems across both fields: Hilbert's 12th problem and the...
- This $200,000 Project Grant, awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in topology and homology growth conducted at Louisiana State University from September 1, 2025, through August 31, 2028. The primary research deliverable involves investigating long-standing conjectures on the topology of aspherical manifolds and the relationship between homology growth...
- Federal Grant Award Summary Louisiana State University received a $215,830 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2025 through June 30, 2028. The award funds fundamental research in harmonic analysis on manifolds, with a focus on developing mathematical tools to study the regularity properties and space-time behavior of solutions to the linear Schrödinger...
- The National Science Foundation awarded Louisiana State University a $559,109 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research from June 2021 through May 2024 to develop new methods for 1,2-cis-selective glycosylation using protecting groups, Lewis bases, and backside attack strategies. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise by increasing fundamental knowledge in...
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $299,847 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical foundations for machine learning applied to complex stochastic systems. Work performance runs through July 31, 2029, at Baton Rouge, Louisiana. The project addresses learning and inference challenges for systems that evolve over time in the presence of randomness, with...
- Federal Project Grant Award Summary Louisiana State University received a $273,892 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) awarded August 15, 2025, with completion targeted for July 31, 2028. The award funds fundamental research on quantitative properties of partial differential equation (PDE) solutions, specifically focusing on Laplacian eigenfunctions and their behavior across...
- The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $250,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and numerical methods for computing solutions to the fracture initial value problem through blended modeling of dynamic and quasistatic fracture. The work addresses computational and theoretical gaps in predicting damage and fracture patterns in complex structural geometries under...
- Federal Grant Award Summary Louisiana State University received a $299,992 Project Grant from the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) beginning July 1, 2025 and concluding June 30, 2028. The award supports the development of novel computational techniques for geometric control and optimization, specifically advancing unfitted finite element methods (FEMs) to create robust numerical...
- Louisiana State University and Agricultural and Mechanical College (LSU) received a $236,770 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to accelerate research on active set methods for large-scale sparse nonlinear optimization from July 2023 through June 2026. Through this award, LSU will improve the implementation and theory of current active set methods used to solve...
The National Science Foundation Division of Mathematical Sciences awarded Louisiana State University $300,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support geometric methods in the representation theory of reductive groups. The project applies geometric and topological tools alongside category theory to advance modular representation theory—the study of how matrix groups with entries in finite fields act on vector spaces over those fields. The work addresses three interconnected research topics: semiinfinite sheaves on affine flag varieties, the topology of global Schubert varieties, and Kazhdan-Lusztig cells, tensor ideals, and tilting modules. The first two topics connect to the geometric Langlands program and number theory; their results feed into research on the third topic, which addresses classical representation-theory questions. The project leverages emerging geometric methods including parity sheaves and Smith-Treumann localization. The award funds research and graduate student support, incorporating research training and professional development activities. Place of performance is Baton Rouge, Louisiana. The period of performance runs through July 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 7/27/26 |