Project Grant 2601235
- 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...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded Louisiana State University $370,766 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to research entanglement dynamics in open bosonic random quantum systems. The research investigates how repeated quantum measurements influence the growth and spread of quantum entanglement in bosonic quantum systems, employing large-scale numerical simulations of interacting bosonic...
- The National Science Foundation Division of Information and Intelligent Systems awarded Louisiana State University $194,596 on July 1, 2026, under the Computer and Information Science and Engineering program (CFDA 47.070) to develop an adaptive protocol for improving superdense coding in noisy quantum networks. The project, titled "Enhancing the Capacity of Quantum Channel Using Information Entropy-Based Metrics Guided Adaptive Purification," will combine quantum error correction...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded Louisiana State University $237,816 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct theoretical and experimental research on correlations and entanglement in cold atomic gases. The research addresses the implications of recent experimental developments in continuum quantum gas microscopes that measure atom densities in real space. The project will predict...
- The National Science Foundation Division of Computer and Network Systems awarded Louisiana State University $300,912 on April 1, 2026, under the Computer and Information Science and Engineering program (CFDA 47.070) to develop practical methods for securing software systems against quantum computing threats. The project creates a quantitative quantum-readiness index that measures system-level quantum risk, a dependency-aware analysis connecting vulnerable cryptography to surrounding software...
- Louisiana State University was awarded a $480,000 Project Grant from the National Science Foundation Division of Physics on August 1, 2021 to support research in the area of quantum optomechanics at the standard quantum limit. The award, which will be completed by July 31, 2024, is being conducted under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to promote progress in the mathematical and physical sciences to strengthen the nation's scientific enterprise...
- 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 Division of Mathematical Sciences awarded the University of Massachusetts Boston $140,000 on July 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study arithmetic and symmetry structures in quantum cohomology. The project investigates number-theoretic patterns embedded in quantum cohomology, a mathematical theory originating in string theory and geometric physics. The investigator will pursue two related directions: first,...
- 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 $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...
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 Stark conjectures in number theory, and Zauner's conjecture concerning symmetric informationally complete positive operator-valued measures (SICs) in quantum information theory. The research aims to discover a unifying mathematical phenomenon that resolves or advances progress on these conjectures. Practical outcomes include faster computation of SICs for quantum information processing applications such as quantum state tomography and classical compressed sensing for radar. The project will develop the subspace packings database, a public resource of geometric configurations with applications in quantum information processing and wireless communications. Performance occurs in Baton Rouge, Louisiana, with an ultimate completion date of July 31, 2029. The assistance type is a project grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $205.0k | 8/4/26 |