Project Grant 2616123
- The National Science Foundation Division of Mathematical Sciences awarded Cornell University $120,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on combinatorics of simplicial complexes, set theory, dynamics of large groups, and Scott analysis of definable equivalence relations. The project will develop new mathematical methods connecting diverse mathematical phenomena through combinatorial and set-theoretic analysis of simplicial...
- The National Science Foundation Division of Mathematical Sciences awarded Cornell University $245,000 on August 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate the failure modes of the quadratic Chabauty method for solving Diophantine equations. The research examines why the quadratic Chabauty method—a leading technique for determining rational points on algebraic curves—produces unexpected irrational points in cases where dimension-counting...
- The National Science Foundation Division of Mathematical Sciences awarded Cornell University $167,572 on November 15, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on structures in combinatorial K-theory, topological restriction homology (TR), zeta-functions, and motivic measures. The project develops new constructions of topological restriction homology that do not rely on spectral enrichment, enabling application of TR to combinatorial K-theory...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to Duke University on August 1, 2023 under the Mathematical and Physical Sciences program (CFDA 47.049) to support innovative numerical methods for solving high-dimensional partial differential equations (PDEs). The key objectives of the 3-year project are to: (1) design and analyze neural-network parametrization for high-dimensional functions with symmetry constraints, and (2) develop and...
- Cornell University has been awarded a $360,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). Over a three year period from August 2023 through July 2026, Cornell will deliver three subprojects focused on algebraic combinatorics and algebraic geometry. The subprojects will investigate divided difference operators and Schubert polynomials, characterize the scheme of pairs of...
- 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 Cornell University $300,000 on September 1, 2026, under the CAREER program (CFDA 47.049, Mathematical and Physical Sciences) to develop mathematical and computational methods for solving inverse problems—challenges in which scientists and engineers infer hidden causes from indirect, incomplete, or noisy observations. The project, running through August 31, 2031, and performed in Ithaca, New York, establishes a...
- The National Science Foundation Division of Mathematical Sciences awarded Cornell University $303,663 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop theory and methods for causal discovery in empirical sciences and machine learning. The project, a five-year effort ending June 30, 2031, will establish rigorous approaches to reasoning about uncertainty in estimated causal structure and enable practitioners to apply causal discovery methods reliably...
- Cornell University was awarded a three-year $466,802 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on "OPTIMALITY AND ROBUSTNESS IN PIECEWISE-DETERMINISTIC SYSTEMS" from September 1, 2021 through August 31, 2024. Under this award, Cornell University researchers in Ithaca, New York will analyze mathematical techniques for modeling and controlling systems that exhibit both deterministic and...
- The National Science Foundation Division of Mathematical Sciences awarded Cornell University $154,239 on December 1, 2025, under the CAREER program (CFDA 47.049, Mathematical and Physical Sciences) to fund research connecting knot theory and statistical mechanics to algebraic combinatorics through investigations of knot invariants including the HOMFLY polynomial and Khovanov–Rozansky homology, with application to geometric interpretation of Catalan numbers and study of positroid varieties via...
The National Science Foundation Division of Mathematical Sciences awarded Cornell University $750,000 on January 1, 2027, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop automated discovery methods for structure-preserving discretizations of partial differential equations. The project, titled "AIMING: Automated Discovery for Structure-Preserving Discretizations," will create computational tools that automate the design of accurate and efficient numerical solvers for PDEs across different discretization methods. The work organizes around three primary tasks: discovering discretizations that satisfy conservation properties common in physical systems; developing finite difference methods that preserve positivity and causality structures; and creating tools to make known structure-preserving discretizations easier to use and more broadly applicable. Graduate students will participate in the research. Performance occurs at Cornell's Ithaca, New York campus with a period of performance running through December 31, 2029. The funding supports research aligned with NSF's broader mission to promote progress in mathematical and physical sciences by strengthening the Nation's scientific enterprise.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $750.0k | 7/28/26 |