Project Grant 2501528
- 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...
- This $120,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) aims to further develop the understanding of set-theoretic methods and their role in topology, particularly in relation to compactness and convergence. The first part of the research project classifies the simplest nonmetrizable compact topological spaces under an additional axiomatic assumption. The second part classifies the cofinal types of uniform...
- The National Science Foundation (NSF) awarded a $246,000 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to Princeton University. The grant, with a period of performance from July 1, 2025 to June 30, 2027, supports fundamental research in number theory. The principal investigator will develop new probabilistic models and multiple Dirichlet series to advance the understanding of Galois groups and L-functions, which have applications to prime number...
- 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 (NSF) awarded a $149,999 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the Research Foundation for the State University of New York (RF SUNY) to conduct collaborative research on the intersection of homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The research aims to develop powerful connections between these mathematical fields, including classifying important geometric objects,...
- The National Science Foundation awarded Cornell University a $446,175 project grant under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from June 2021 to May 2024 to exploit excitons in atomic monolayers for dielectric sensing. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise by increasing knowledge and understanding of major problems. This award will further those goals by advancing the use of...
- The National Science Foundation awarded Cornell University a $177,290 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) for research titled "COLLABORATIVE RESEARCH: TRACE METHODS AND APPLICATIONS FOR CUT-AND-PASTE K-THEORY." The three-year award running from July 1, 2021 to June 30, 2024 will support Cornell University's Office of Sponsored Programs in conducting collaborative research using trace methods and applications for cut-and-paste K-theory. The...
- This $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
- This $201,798 Project Grant was awarded by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support the Principal Investigator's research on applying new techniques in algebraic geometry to study the geometry of solution sets to systems of polynomial equations. The research will focus on three main directions: cohomology of moduli spaces of stable and smooth curves, and conjectures related to hypersurface...
- This $183,897 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the Massachusetts Institute of Technology (MIT) focused on curve counting beyond rational numbers. The project aims to develop new curve-counting invariants and methods to analyze symplectic manifolds, which are crucial mathematical objects for understanding physical phenomena like the movement of planets and particle behavior. The...
The National Science Foundation (NSF), through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program, awarded Cornell University a $152,000 project grant for the period of August 15, 2025 to July 31, 2027. The grant supports research by the principal investigator (PI) focused on developing new mathematical techniques for studying "curve-counting numbers" - intrinsically interesting objects in both physics and mathematics. The key research objectives include investigating new modular compactifications of the moduli space of stacky curves, studying the geometry of geometric invariant theory quotients of complex reductive group representations, and exploring deformed virtual classes in sheaf cohomology. The PI will use these projects to train graduate students and postdocs in conducting mathematical research and communicating their results, including making lecture notes on foundational topics available to both math and physics graduate students. The grant aims to advance scientific knowledge, develop innovative mathematical techniques, and support research with potential applications in fields like string theory and algebraic geometry.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $152.0k | 8/14/25 |