Project Grant 2601796
- 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 $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 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...
- 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 $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...
- 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...
- 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...
- 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...
- 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 $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 heuristics predict it should isolate only the desired rational solutions. The project will analyze the frequency and geometric causes of these failures, with findings intended to guide development of more reliable quadratic Chabauty algorithms capable of certifiably correct solutions to previously intractable Diophantine equations. Graduate and undergraduate students will receive mentoring on research aligned with project objectives. The award also supports conference organization and development of educational materials. Performance of work takes place in Ithaca, New York, with a period of performance from August 1, 2026, through July 31, 2029. The recipient is Cornell University's Office of Sponsored Programs, which administers federal compliance and financial management for the university's research portfolio.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $245.0k | 7/22/26 |