Project Grant 2153975
- 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 $167,572 project grant from the National Science Foundation (NSF) Division of Mathematical Sciences (CFDA 47.049) awarded November 15, 2025, with completion targeted for October 31, 2027. The award supports fundamental research on "Structures on Combinatorial K-Theory: Topological Restriction Homology (TR), Zeta-Functions, and Motivic Measures." The project develops new mathematical constructions of topological...
- This $118,647 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) supports fundamental research in descriptive set theory and its connections to other mathematical fields, including computability, operator algebras, topological dynamics, and ergodic theory. The award will fund research on questions related to amenability and hyperfiniteness, as well as investigations into classical geometrical paradoxes...
- 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 a $317,099 Project Grant to Rutgers, The State University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award will support research into infinitary combinatorics and set theory, focusing on analyzing combinatorial principles such as the tree property, stationary reflection, and square principles in relation to cardinal arithmetic, especially singular cardinal arithmetic....
- This federal Project Grant award for $300,000.00, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research to significantly expand the investigator's work on applications of model theory to the study of geometric structures. The key objectives are to: 1) tackle major transcendence problems such as the Ax-Lindemann-Weierstrass and Ax-Schanuel conjectures for uniformizing functions of geometric structures in higher...
- 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 $290,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports research in computable model theory and invariant descriptive computability theory. The award, spanning July 2024 to June 2027, will fund work that explores connections between computability theory and the fields of model theory and set theory within mathematical logic. Key objectives include investigating cases where mathematically equivalent objects have...
- The National Science Foundation (NSF) Division of Mathematical Sciences has awarded a $300,000 Project Grant to Cornell University to support research on stochastic models and their properties. The key objectives of this 3-year grant, which runs from July 15, 2023 to June 30, 2026, are to: Develop novel methodologies to characterize different types of orbits exhibited by Markov semigroups on Hilbert spaces, providing a comprehensive understanding of these structures. Utilize the classification...
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 subgroup structure of groups of piecewise linear homeomorphisms. Additionally, the award supports developing techniques in pure and applied set theory, such as methods for studying vanishing of higher derived limits in homological algebra and the role of Jensen's diamond principle in the theory of hereditarily cardinal sets of at most aleph-1. This award is made under the Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in the mathematical sciences and strengthen the national scientific enterprise.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $360.0k | 8/11/22 |