Project Grant 2247473
- Federal Grant Award Summary Texas A&M University received a $199,581 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded August 15, 2025, with completion targeted for July 31, 2027. The project focuses on advancing mathematical research in metric invariants and geometric analysis through investigation of the Kalton Program and Ribe Program frameworks. The principal...
- Federal Project Grant Award Summary Texas A&M University received a $140,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded August 1, 2025, with completion targeted for July 31, 2028. This collaborative research initiative focuses on developing mathematical methods to measure and understand edge states in topological insulators—materials with unique properties for...
- Federal Grant Award Summary Texas A&M University received a $150,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2027. The award supports fundamental research in three-manifold invariants derived from Virasoro topological quantum field theory (TQFT), focusing on the asymptotics of quantum invariants and their relationship to hyperbolic...
- The National Science Foundation awarded a $249,460 project grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The university will research the geometry of graphs and Banach spaces over this three-year period. The Mathematical and Physical Sciences program aims to advance these fields and strengthen the nation's scientific enterprise through increased knowledge and understanding of major problems. This...
- Federal Project Grant Award Summary Texas A&M University received a $100,123 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049: Mathematical and Physical Sciences) effective September 1, 2025, through August 31, 2028. The award supports collaborative research developing advanced Bayesian thresholding and shrinkage methods for signal recovery and noise reduction in multiscale domains, with primary applications in medical imaging,...
- Texas A&M University was awarded a $592,061 Project Grant from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 with a completion date of July 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and strengthen the Nation's scientific enterprise. Under this award, Texas A&M University will develop high-order invariant domain preserving approximations of multiphysics systems...
- Federal Grant Award Summary Texas A&M University received a $239,850 Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 15, 2025, with a completion date of July 31, 2028. The project develops and advances optimal recovery theory—a mathematical framework that provides worst-case performance guarantees for function learning and recovery algorithms under realistic...
- This three-year project grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $270,908 to Texas A&M University to develop mathematical tools for investigating phenomena in solid-state physics, condensed matter physics, and optics. The university will explore both linear and nonlinear Hamiltonian systems through techniques such as semi-algebraic geometry, mathematical physics, and...
- The National Science Foundation awarded a $413,959 Project Grant to Texas A&M University from July 1, 2021 to June 30, 2024 under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports collaborative research on non-perturbative analysis for multi-dimensional quasiperiodic systems. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in these fields. Under this award, Texas A&M University researchers will work to...
- This three-year project grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $303,805 to Texas A&M University to apply methods from combinatorial algebraic geometry to problems in spectral theory from mathematical physics. Specifically, the principal investigator (PI) will use algebraic geometry to study the spectrum of discrete periodic operators, an area with many open questions. The PI will also work to classify Galois groups...
Texas A&M University was awarded a $276,227 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of June 1, 2023 through May 31, 2026. Through this award, Texas A&M University will mentor graduate and undergraduate researchers in spectral analysis on metric graphs. Researchers will address questions on the eigenvalue dependence on boundary conditions, directly related to the location of partition boundaries in spectral minimal partition problems. Tools such as parametrization of self-adjoint extensions by the Lagrangian Grassmannian, the Krein-Naimark resolvent formula, and Dirichlet-to-Neumann map techniques will be used to prove a link between the Morse index of an eigenvalue at a critical point and the spectral shift of an operator. This work will provide global insights into energy landscapes and enable certification of experimentally observed local minima as globally optimal. Additionally, the university will create and maintain a wikibook devoted to spectral analysis on metric graphs.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $276.2k | 5/18/23 |