Project Grant 2554159
- 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 $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 $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...
- 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 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 $200,000 to The Research Foundation For The State University of New York (operating as Stony Brook University) on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research at the intersection of symplectic geometry and algebraic geometry, focusing on counting special types of curves within geometric objects to advance a conjecture limiting their abundance. The...
- 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...
- Federal Project Grant Award Summary Cornell University received a $152,000 project grant from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded on August 15, 2025, with completion targeted for July 31, 2027. The award supports theoretical and computational research focused on stacky curves, Geometric Invariant Theory (GIT) quotients, and deformed Euler classes—advanced mathematical techniques for studying curve-counting numbers that have applications in...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $200,000 to Cornell University under the Mathematical and Physical Sciences program (CFDA 47.049) on July 15, 2025, for a project titled "Topological Approaches to Anosov Flows in Dimension 3." The award supports fundamental mathematical research extending through June 30, 2028, with performance taking place at Cornell's Ithaca, New York campus. The project delivers...
- This Project Grant award for $330,586, provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA No. 47.049), supports research on the geometric and metric properties of two-dimensional surfaces. The principal investigator (PI) at Cornell University will investigate the classification of surfaces under singular flat and hyperbolic metrics, as well as the associated moduli spaces and related mathematical...
The National Science Foundation Division of Mathematical Sciences awarded Cornell University $180,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to study amplituhedra and origami crease patterns in quantum field theory and scattering amplitudes. The project, running through July 31, 2028, applies a recently discovered connection between the amplituhedron—a geometric object that explains computational phenomena in quantum field theory—and flat-foldable origami crease patterns. Research focuses on using this connection to provide rigorous proofs of conjectures about scattering amplitudes and to employ scattering amplitude ideas to study geometric realizations of planar graphs in statistical mechanics. The work draws on the principal investigator's research on the BCFW triangulation conjecture at all loop levels in momentum and momentum-twistor space. Technical approaches incorporate the dimer model on planar bipartite graphs, discrete holomorphic functions, Kenyon-Smirnov primitives, T-duality, and an origami reconstruction algorithm derived from BCFW recursion. Specific directions include punctured positive Grassmannians, canonical differential forms, and amplituhedra and origami crease pattern symmetries. Graduate student training is integrated into the project. The award is a Project Grant assistance type, performs in Ithaca, New York, with no subawards planned.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $180.0k | 8/6/26 |