Project Grant 2554950
- 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 $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 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 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 $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...
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $375,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research in class field theory and arithmetic geometry. The principal investigator will study the construction of one-variable polynomial equations with commuting solution-set symmetries, a problem unsolved since the 19th century, and will investigate rational-coordinate points...
- The National Science Foundation Division of Mathematical Sciences awarded Massachusetts Institute of Technology $244,913 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance symplectic topology research connecting geometry, topology, number theory, and algebraic geometry. The award funds research in two directions. The investigator will study Frobenius structures on quantum D-modules and quantum connections from arithmetic, categorical, and...
- The National Science Foundation Division of Mathematical Sciences awarded The University of Chicago $106,020 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop a general framework for measure and topological rigidity in dynamical systems that extends beyond the classical homogeneous setting. The award funds research on random walks and related flows on manifolds exhibiting hyperbolic behavior, with investigation into the stationary and invariant...
- 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 $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. Research objectives include characterizing special subvarieties in families of dynamical systems, developing theory of generalized bifurcation currents with positivity criteria, obtaining effective and uniform bounds for special loci and periodic point geometry, and extending methods to non-Archimedean and p-adic settings. The work addresses open problems in arithmetic and algebraic dynamics including dynamical analogs of the Manin-Mumford and André-Oort conjectures. Research performance occurs in Cambridge, Massachusetts, through Harvard College's Office for Sponsored Programs. The period of performance runs from August 1, 2026, through July 31, 2028. The project supports undergraduate and graduate student research and includes public outreach through lectures and educational programs to advance understanding of mathematics and its applications to computational and data-driven technologies.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 7/20/26 |