Project Grant 2600923
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $103,300 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to fund research into complex geometry and differential invariants of period maps in algebraic geometry. The recipient will conduct research on period maps, functions associated with families of geometric objects defined by polynomial equations, with applications to moduli problems in algebraic geometry. The...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $505,185 on June 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop mathematical frameworks for analyzing spatio-temporal mRNA transport and organization in living cells using microscopy data. The project establishes rigorous mathematical theory and quantitative methods for interpreting complex experimental data on messenger RNA and protein dynamics, with emphasis on...
- The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $300,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct foundational research on small-scale creation and singularities in fluids and chemotaxis modeling. The project investigates fundamental questions in fluid mechanics, including singularity formation in solutions of two-dimensional incompressible Euler equations, small-scale structure emergence in...
- The National Science Foundation Division of Mathematical Sciences awarded Duke University $145,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study structured random matrices for quantum chaos and manifold learning. The project investigates classes of structured random matrices motivated by two application domains: quantum chaos theory, which examines whether random matrix statistics govern the behavior of quantum systems through eigenvalue...
- Project Grant Summary This three-year project grant, awarded by the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in symplectic geometry centered on enhanced invariants of Legendrian links. The award of $299,647 to Duke University, effective July 1, 2025 through June 30, 2028, funds the development of new algebraic structures and computational tools that advance the understanding...
- 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 Project Grant award of $134,046 was obligated on September 1, 2025, through the Division of Mathematical Sciences (DMS) under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049). The award funds theoretical research at UC San Diego focused on the classification and moduli spaces of higher dimensional algebraic varieties, with particular emphasis on degenerations of hypersurfaces and the singular varieties appearing within moduli spaces. The principal...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded the University of North Carolina at Chapel Hill (UNC) a $185,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports a three-year research project to develop Hodge theoretic techniques for studying Knizhnik-Zamolodchikov differential equations, which link representation theory, algebraic geometry, and mathematical physics. Key research activities include developing a...
- 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 Duke University $235,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop new methods for the classification and moduli theory of K-trivial algebraic varieties, with a focus on Calabi-Yau varieties. The project pursues three complementary research directions using tools from the minimal model program, Hodge theory, and positive characteristic birational geometry, with the goal of extending moduli theory for K-trivial varieties and advancing understanding of their structure and boundedness properties. The research has connections to arithmetic geometry and the mathematical foundations of string theory. The project includes research opportunities for PhD and undergraduate students and incorporates the principal investigator's participation in organizing mathematical events and editorial service. Performance occurs at Duke University in Durham, North Carolina, with a period of performance from August 1, 2026, through July 31, 2029.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $235.0k | 7/20/26 |