Project Grant 2601584
- The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama $179,974 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new algebraic and geometric tools for studying singular points in symmetric objects across three interconnected research components. The first component will develop algebraic complexes to compute the cohomology of toric vector bundles and prove sharp vanishing theorems, with applications to...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama $327,888 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study quantitative parabolic rectifiability, parabolic partial differential equations, and boundary value problems. The project investigates evolution equations governing heat flow, diffusion, and transport processes in complex regions, with particular focus on how the shape and roughness of domain...
- Grant Award Summary The University of Alabama received a $278,488 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, 2028. The award supports fundamental research in commutative algebra and singularity theory, with a focus on investigating algebraic and geometric properties of multiplicities and the Frobenius endomorphism in positive characteristic...
- The University of Alabama was awarded a $156,405 Project Grant from the National Science Foundation Division of Mathematical Sciences. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these fields and strengthen the nation's scientific enterprise. The grant will fund research from July 2021 through June 2024 on the topic of contact type hypersurfaces and related mathematical concepts. The University will utilize the funding...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama at Birmingham $350,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop novel quantum mechanical analysis techniques for studying the spectral properties of disordered and aperiodic solids, with research performance in Birmingham, Alabama through July 31, 2029. The project will advance theoretical understanding of materials with disordered and...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama $229,586 on October 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop neural network-enhanced reduced order modeling methods for solving partial differential equations with high dimensionality, randomness, nonlinear behavior, and multiscale features. The research combines reduced order model stability and efficiency with neural network flexibility to accelerate...
- The National Science Foundation (NSF) awarded a $180,935 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to the University of Alabama. The grant, awarded on August 1, 2023, will fund research into cell decompositions of quiver grassmannians, which are related to cluster algebras. This research aims to provide a topological explanation for positivity in cluster algebras, which have connections to various areas of mathematics, physics, and other fields. The project...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama at Birmingham $199,757 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical tools for analyzing the existence and stability of solitary waves and solitons in systems with multiple interacting components. The project extends variational and spectral techniques from single-equation models to coupled systems of nonlinear partial differential...
- Federal Project Grant Award Summary The University of Alabama received a $332,241 Project Grant award from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective September 1, 2025 through August 31, 2028. This collaborative research initiative addresses limitations in current Poisson-Boltzmann (PB) theory for calculating electrostatic free energy in biomolecular systems. The primary deliverable is the...
- The University of Alabama was awarded a $248,987 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research from August 2021 through July 2024 to develop implicit solvent modeling and fast algorithms for simulating solutes with atomic polarizable multipoles. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core...
The National Science Foundation Division of Mathematical Sciences awarded the University of Alabama $170,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop novel homological structures in commutative algebra and their applications. The project will advance homological and homotopical methods in algebraic geometry, including tools from noncommutative geometry, across four interrelated research directions. The first develops a new reconstruction theorem showing how a projective variety can be recovered from the derived category of an associated derived scheme. The second extends Orlov's Landau-Ginzburg/Calabi-Yau correspondence to complete intersections embedded in smooth projective toric varieties, establishing new relationships between derived categories and singularity categories of multigraded algebras. The third reinterprets higher matrix factorizations for complete intersections as an instance of A-infinity Koszul duality. A fourth direction, partially redacted in the source, completes the research framework. Beyond research contributions, the project will strengthen the mathematical community in the Southern United States through a research symposium for undergraduate mathematics students and K-12 STEM outreach to train the next generation of researchers. Performance occurs in Tuscaloosa, Alabama, with a period of performance from August 1, 2026, through July 31, 2029. The award is classified as a Project Grant, with the University of Alabama's Office for Sponsored Programs serving as the recipient.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $170.0k | 7/27/26 |