Project Grant 2555449
- 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 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 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...
- 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...
- 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...
- This Project Grant award for $249,454, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by the University of Alabama in two areas within mathematical analysis: harmonic analysis and partial differential equations. The key objectives are to expand knowledge in harmonic analysis and its applications to the study of partial differential equations, as well as to provide education and mentoring...
- Federal Project Grant Award Summary The University of Alabama received a $199,814 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 – Mathematical and Physical Sciences) effective August 1, 2025, through July 31, 2028. This award supports research to develop accurate, efficient, and stable numerical methods for solving reversible-irreversible thermodynamically consistent partial differential equations (RITC-PDEs). The project will deliver a...
- 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 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 Texas A&M University $269,999 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop and analyze optimal data assimilation algorithms for computational models of physical systems. The project addresses the mathematical theory of finite element methods in cases where a physical law governing behavior inside a domain is known but boundary conditions are unknown or...
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 boundaries influence solution behavior, including time-varying boundaries. The work develops mathematical tools for analyzing heat flow and transport in heterogeneous environments and characterizes geometric regularity of boundaries in time-dependent settings through caloric measure, caloric function estimates, and parabolic singular integral operators. The second phase studies boundary value problems for variable-coefficient parabolic operators in rough domains, emphasizing Green function estimates, quantitative absolute continuity of caloric measure, and solvability of Dirichlet and regularity problems under scale-invariant coefficient assumptions. The award funds research and education, including outreach at local K–12 schools and mentoring of graduate and undergraduate students. Performance occurs in Tuscaloosa, Alabama, with a period of performance through August 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $327.9k | 7/21/26 |