Project Grant 2553992
- 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...
- Federal Project Grant Award Summary Cornell University received a $120,000 project grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective July 1, 2025 through June 30, 2026. The award supports fundamental research in set-theoretic topology, specifically addressing foundational problems in mathematics that emerge from the interaction between set theory and topological structures. The...
- 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...
- This National Science Foundation Project Grant award of $360,000 provides funding from August 15, 2022 through July 31, 2025 to further develop set-theoretic methods and their applications to problems in mathematics. Specifically, the awardee Cornell University will conduct research into understanding the structure of the algebra of piecewise linear functions on the unit interval using transfinite ordinals, compactness, and large cardinals. This includes attempting to prove conjectures regarding...
- 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...
- 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...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $144,726 to support collaborative research in the area of symplectic geometry between Cornell University and other institutions. Specifically, the funding will advance knowledge and understanding of the relationship between the geometry of Hamiltonian systems and the combinatorics of momentum maps through investigations into the...
- 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...
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 complexes and simplicial maps. Research includes investigation of multidimensional geometric bodies through finite configurations and limiting processes; analysis of similarity relations in a broad context using a general Scott procedure, including relations derived from logic; and study of topological group actions and symmetries. The work will examine interactions across logic, dynamics, topology, and combinatorics, including extreme amenability among topological groups and submeasures, and Lascar strong types from model theory analyzed through descriptive set-theoretic tools. The project will provide PhD students with training applicable within and outside academia. Performance occurs at Ithaca, New York, with a period of performance from August 1, 2026, through July 31, 2027. The assistance type is a Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $120.0k | 7/23/26 |