Project Grant 2604524
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,998 Project Grant to the Massachusetts Institute of Technology (MIT) under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research on singularities and rigidity in geometric evolution equations. The research focuses on geometric flows, which model the evolution of geometric objects like functions, surfaces, or Riemannian metrics over time using nonlinear generalizations of the classical...
- 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 (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to New York University (NYU) for the period of August 1, 2023 to July 31, 2026. The grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), focuses on two key areas: Studying geometric evolution equations, specifically mean curvature flow and Ricci flow, with a focus on different aspects of regularity. This research aims to address longstanding open problems at the...
- Federal Project Grant Award Summary Massachusetts Institute of Technology (MIT) received a $300,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) effective July 1, 2025, through June 30, 2028. The award funds fundamental mathematical research on periodic dimer models, which are probabilistic systems used to understand phase transitions and crystal roughening phenomena observed in nature. The research...
- 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 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...
- This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to advance the study of Einstein metrics and Ricci flows in 4-dimensional topology at the Massachusetts Institute of Technology (MIT). The project will focus on understanding and constructing 4-dimensional Einstein metrics and Ricci flows, particularly examining singularities such as orbifold singularities, cusp formation, and collapsing. This research...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Massachusetts Lowell $217,008 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support theoretical research in real and discrete harmonic analysis. The project, running through August 31, 2029, develops mathematical theory for operators that average, filter, and detect structure in functions, with emphasis on how operator behavior depends on the geometry of scale...
- The National Science Foundation Division of Mathematical Sciences awarded the Research Foundation of The City University of New York $111,379 on December 1, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop tools and techniques for solving nonlinear partial differential equations in complex geometry, specifically to advance understanding of canonical metrics on complex manifolds through study of the complex Monge-Ampere equation and constant scalar curvature...
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 gradient estimates and monotonicity formulas for harmonic functions and heat equation solutions with attention to dimensional dependence and elliptic-parabolic relationships; geometric flows, especially mean curvature flow; and related problems in geometric analysis. The work addresses fundamental questions about how geometric objects behave, how singularities form, and how global structure can be understood from first principles. The project will contribute to education and workforce development through graduate student mentoring, textbook writing (including a real analysis textbook emphasizing optimization, AI, and machine learning applications), dissemination through lectures and conferences, and service to the mathematical community. Performance occurs in Cambridge, Massachusetts with an award period running through August 31, 2028. The assistance type is a Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/6/26 |