Project Grant 2412031
- The National Science Foundation Division of Mathematical Sciences awarded $175,000 to President and Fellows of Harvard College on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical and computational tools for integrating high-dimensional datasets with partially shared structures. The project creates new theoretical foundations at the intersection of random matrix theory, manifold learning, and high-dimensional statistics. Key deliverables...
- The National Science Foundation Division of Mathematical Sciences awarded President and Fellows of Harvard College $400,000 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop tensor decomposition algorithms for multi-context data analysis. The research addresses a fundamental challenge in tensor decomposition: the higher-order power method's failure to find low-rank decompositions for tensors, where deflation typically fails to reduce rank or increases...
- The National Science Foundation Division of Mathematical Sciences awarded $300,000 to President and Fellows of Harvard College on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in complex dynamics and moduli spaces. The project, running through June 30, 2029, aims to study moduli spaces—mathematical structures that classify the variety of shapes a recognized type can assume—from perspectives of analysis, algebra, geometry, and dynamics...
- The National Science Foundation Division of Mathematical Sciences awarded $200,000 to Harvard College on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on special varieties in algebraic dynamics. The project investigates mathematical structures governing dynamical systems defined by repeated application of algebraic rules, with focus on identifying when such systems exhibit hidden geometric structure rather than generic chaotic behavior....
- The National Science Foundation Division of Mathematical Sciences awarded $255,000 to the President and Fellows of Harvard College on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in Galois representations and arithmetic geometry. The research examines structural analysis of mod-p reductions of crystalline representations, algebraic cycles through prismatic cohomology, and de Rham analogues of the Mumford-Tate Conjecture. The project...
- The National Science Foundation Division of Mathematical Sciences awarded The Trustees of Princeton University $350,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop innovative methods for analyzing complex, heterogeneous datasets represented as non-negative matrices or tensors. The project addresses analytical challenges posed by relational data such as health records, social networks, and ranking systems that exhibit sparse signals,...
- The National Science Foundation Division of Mathematical Sciences awarded President and Fellows of Harvard College $243,639 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on algorithmic spin glass theory and computational phase transitions. The recipient will develop mathematical frameworks explaining when high-dimensional optimization and sampling landscapes can be navigated efficiently by algorithms and when intrinsic barriers prevent...
- The National Science Foundation Division of Mathematical Sciences awarded the President and Fellows of Harvard College $210,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on the interactions of combinatorics and physics. The award funds research addressing questions at the interface of combinatorics, algebra, and physics. In statistical physics, the project studies the relationship between the asymmetric simple exclusion process...
- The National Science Foundation Division of Mathematical Sciences awarded $188,518 to President and Fellows of Harvard College on June 1, 2026, to investigate arithmetic statistics through homological stability under the Mathematical and Physical Sciences program (CFDA 47.049). The recipient will work on main conjectures in arithmetic statistics over function fields, including the Cohen-Lenstra conjectures on class groups of quadratic fields, Malle's conjecture on counting global field...
- The National Science Foundation Division of Mathematical Sciences awarded $175,000 to President and Fellows of Harvard College on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop the Binary Expansion Group Intersection Network (BEGIN) framework for statistical learning from data bits. The project will construct graphical models directly from binary representations of data to study conditional dependence and will establish theory and methodology for...
The National Science Foundation Division of Mathematical Sciences awarded $225,000 to President and Fellows of Harvard College on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for collaborative research on hidden components in complex data using mathematical frameworks such as non-negative matrices and tensors. The project develops innovative methods to uncover hidden patterns in relational datasets including health records, social networks, and ranking systems. Research outputs include publicly available software, new datasets, and methodologies for analyzing heterogeneous, sparse, and hierarchical data structures. The work applies these techniques to improve large language models and addresses analytical challenges in modern text, network, and relational data that conventional methods struggle to handle. The project also supports graduate student training in modern statistical and machine learning techniques. Performance occurs in Cambridge, Massachusetts with a period of performance through July 31, 2029. The assistance type is a Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $225.0k | 7/31/26 |