Project Grant 2602782
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $230,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate quantum cluster algebras and monoidal categories. The recipient will conduct foundational research on noncommutative algebraic structures, specifically building canonical bases of quantum cluster algebras at roots of unity and studying their irreducible representations through connections to...
- This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) to Northeastern University totals $243,319 over the period from August 1, 2023 to July 31, 2026. The project will use effective techniques in geometric microlocal analysis to study singular metrics and address problems related to metric degenerations, including perturbation theory, singular uniformization problems, parametrization of moduli spaces, and related geometric properties....
- 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 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 $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 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 Northwestern University $175,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop the theory of factorization homology for 3-manifolds with coefficients in rigid braided infinity-categories and to apply that theory to low-dimensional topology, topological quantum field theory, and representation theory. The project develops mathematical constructions that integrate...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University a $174,999 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, beginning July 1, 2021 through June 30, 2024, will support collaborative research on halfspace depth for object and functional data. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through advancing mathematical and...
- 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 Northeastern University $300,000 on July 1, 2026, for a Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to develop machine learning methodologies for stratified matrix manifolds under group actions. The project will integrate topology, geometry, and machine learning to advance data-driven discovery across scientific domains, organized into three thrusts: (1) mathematical and statistical...
The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on microlocal analysis applied to singular geometric structures. The project develops analytic and geometric techniques to study singular spaces that arise naturally in mathematics and physics, with particular focus on gravitational instantons and constant curvature metrics with conical and cusp singularities. Work encompasses analysis of gravitational instanton degenerations and moduli space structure, as well as moduli space compactification and spectral properties of singular metrics. These singular geometric spaces connect to gauge theory, string theory, and electromagnetic systems in theoretical physics, and bear implications for algebraic geometry, mathematical physics, number theory, and representation theory. The research program includes educational and outreach activities, specifically expanded mentoring networks for undergraduate and graduate students and organization of conferences and mini-courses serving audiences across mathematical backgrounds. Performance occurs in Boston, Massachusetts, with a period of performance from September 1, 2026, through August 31, 2028. No sub-awards are planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/12/26 |