Project Grant 2601551
- 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 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 Massachusetts Institute of Technology $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to advance research in geometric analysis through study of elliptic and parabolic partial differential equations, geometric flows, and minimal hypersurfaces. The project, led jointly by the principal investigator and Toby Colding, focuses on three central areas: function theory including...
- 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...
- Federal Grant Award Summary Massachusetts Institute of Technology received a $267,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded September 1, 2025, with completion targeted for August 31, 2027. The award supports fundamental research investigating tensor categories, quantized algebras, and the analytic Langlands correspondence—advanced mathematical structures used to...
- 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....
- This $183,897 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the Massachusetts Institute of Technology (MIT) focused on curve counting beyond rational numbers. The project aims to develop new curve-counting invariants and methods to analyze symplectic manifolds, which are crucial mathematical objects for understanding physical phenomena like the movement of planets and particle behavior. The...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded $324,998 to Massachusetts Institute of Technology (MIT) for a three-year project (July 1, 2025–June 30, 2028) under the Mathematical and Physical Sciences program (CFDA 47.049). This research project advances understanding of Krylov subspace methods—fundamental algorithms widely used in computational mathematics for solving high-dimensional problems across engineering, science, and...
- The National Science Foundation Division of Mathematical Sciences awarded the University of California, Berkeley $120,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for a project grant in model theory in algebra and geometry. The project applies model-theoretic techniques—originally developed in abstract first-order logic, including o-minimality and geometric stability theory—to analyze mathematical structures in both pure and applied contexts. The...
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 on cubic surfaces. The project includes a reformulation of global class field theory using module-theoretic categories and Galois-equivariant realization maps. The investigator will establish graduate-student training opportunities and, in collaboration with Andrew V. Sutherland, will author a modern graduate-level number theory textbook as an alternative to decades-old classics. An electronic version will be made freely available online to maximize impact and prepare students for current research directions. Performance takes place in Cambridge, Massachusetts, with a period of performance from August 1, 2026, through July 31, 2029. The award is structured as a Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $375.0k | 7/23/26 |