Project Grant 2607263
- 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 Grinnell College $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 in continuum mechanics. The project addresses the computational modeling of dynamic and quasistatic fracture propagation in complex structural geometries under environmental loads. The recipient will formulate...
- The National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences awarded a $224,848 Project Grant titled "LEAPS-MPS: TIME-DISCRETE REGULARIZED VARIATIONAL MODEL FOR BRITTLE FRACTURE IN NOVEL STRAIN-LIMITING ELASTIC SOLIDS" to Texas A&M University-Corpus Christi, part of the Texas A&M University System. The award, effective from September 1, 2023 to August 31, 2025, aims to develop mathematical models and numerical schemes for simulating the behavior of...
- Louisiana State University was awarded a $150,000 Project Grant from the National Science Foundation Division of Mathematical Sciences on July 15, 2021 to complete work by June 30, 2024. The grant funds the development of optimization methods for nonconvex structured optimization problems under the Mathematical and Physical Sciences program (CFDA 47.049). This program aims to advance mathematical and physical sciences and strengthen the national scientific enterprise through increasing...
- 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...
- 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...
- Louisiana State University received a $198,664 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research activities through June 30, 2024. The award is being used to fund the "DIFFUSIVE REGULARIZATION IN KINETIC AND FLUID EQUATIONS" project 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...
- This three-year National Science Foundation Project Grant of $543,864 supports research at Worcester Polytechnic Institute to improve mathematical modeling of material failure under applied forces. Funded through the Mathematical and Physical Sciences program, the award aims to advance variational fracture models to better predict failure in applications across civil infrastructure and national defense. Specifically, the principal investigator will enhance an existing static formulation to...
- 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...
- This $415,862 Project Grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports quantitative studies of solutions to partial differential equations at Louisiana State University from July 2022 through June 2025. The Principal Investigator will conduct research on upper bounds for nodal and singular sets of Laplace operators on smooth surfaces, bounds on nodal sets of eigenfunctions in periodic elliptic homogenization, and quantitative unique...
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 environmental loads, with applications to infrastructure, transportation, and energy production design. The project will develop a mathematically well-posed initial value problem implementable on computational platforms and create effective computational methods for GPU and high-performance computing clusters. Research activities include training undergraduate and graduate students in numerical methods development and fostering interactions with experimental materials scientists. The approach quantitatively models fracture phenomena using minimal material parameters to predict fracture patterns, including crack nucleation, based on the equation of motion for material displacement rather than traditional phase field models. Performance occurs in Baton Rouge, Louisiana, with a period of performance through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $250.0k | 8/14/26 |