Project Grant 2606221
- 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,...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Los Angeles $271,080 on January 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop AI models that reason constructively about complex mathematical problems and advance formal proof systems. The collaborative research project, spanning January 1, 2026, through December 31, 2028, and performed in Los Angeles, California, aims to synergize artificial...
- This Project Grant award from the National Science Foundation Division of Mathematical Sciences provides $155,046 to the University of Massachusetts Amherst under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 2021 through August 2023. The funding supports applied research in the areas of geometry and harmonic analysis to develop new regularization techniques for deep learning models. By drawing from pure mathematics disciplines, the grantee aims to...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $331,902 Project Grant to the Trustees of Boston University on August 15, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049). The purpose of this 3-year grant is to develop rigorous mathematical analysis and theory for the training algorithms used in neural network models across various machine learning applications. The research will leverage stochastic analysis and weak convergence theory...
- This $296,555 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support the development of reduced basis enhancements for neural networks and their application to quantum materials simulation. Specifically, the University of Massachusetts Dartmouth will combine traditional reduced basis methods with deep learning techniques to build an analysis-driven computational emulator for parameterized partial differential equations....
- The University of Massachusetts received a $149,982 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 15, 2021 to support work on "COMPUTATIONAL METHODS FOR STRUCTURED DATA AND MODELS" through July 31, 2024. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA #47.049), which aims to promote progress in these fields and strengthen the national scientific enterprise. Under this award, the University of...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Connecticut $249,928 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a rigorous framework for collaboration between mathematicians and artificial intelligence systems to accelerate mathematical discovery in number theory and combinatorics. The project establishes a four-phase iterative workflow: generating and curating large datasets of complex...
- The National Science Foundation Division of Mathematical Sciences awarded a $390,000 Project Grant to the University of Massachusetts Office of Grant & Contract Administration in Hadley, MA to support collaborative research titled "New Challenges in the Derivation and Dynamics of Quantum Systems" from July 1, 2021 through June 30, 2024. The grant supports research under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in these...
- The National Science Foundation awarded a $225,000 Project Grant to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) for the period of November 1, 2021 through October 31, 2024. The grant funds collaborative research on new perspectives for deep learning by bridging approximation, statistical, and algorithmic theories. The Mathematical and Physical Sciences program aims to advance scientific knowledge and understanding in core areas of mathematics and...
- Federal Project Grant Award Summary The University of Massachusetts 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 September 1, 2025 through August 31, 2028. This award funds research into data-driven modeling and inference methods for high-order models on complex networks. The project develops computationally efficient, scalable algorithms to simulate and...
The National Science Foundation Directorate for Mathematical and Physical Sciences awarded the University of Massachusetts $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical principles that make artificial intelligence systems more stable, reliable, and robust. The project establishes foundational theory to explain why successful AI algorithms work, identify conditions under which they fail, and guide their design for dependability. The work draws from optimal transport, optimal control, and information theory to analyze modern generative algorithms including flow-based models, diffusion models, and transformer architectures underlying large language models. The investigators will interpret these algorithms as regularized transformations of probability distributions whose continuous-time limits follow Hamilton-Jacobi-Bellman equations from optimal control theory, pursuing this unifying viewpoint across three core research directions. The project also supports education and workforce development by training graduate and postdoctoral researchers at the interface of mathematics and artificial intelligence and by developing new undergraduate and graduate courses on generative AI, reinforcement learning, and machine learning mathematics. Performance occurs in Amherst, Massachusetts, with a period of performance running from August 15, 2026, through July 31, 2029. This is a Project Grant, the assistance type used by NSF for investigator-initiated research proposals.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $300.0k | 8/7/26 |