Project Grant 2502310
- 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 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $372,697 Project Grant to The Research Foundation for the State University of New York (RF SUNY), doing business as Stony Brook University, for the period of July 1, 2023 to June 30, 2026. The grant will fund research related to the topology and links of singularities, with applications in areas such as algebraic geometry, combinatorics, and the construction of exotic smooth 4-manifolds and knotted surfaces. 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 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research on the classification and structure of K-trivial varieties, which include important mathematical objects like elliptic curves and Calabi-Yau threefolds. The $209,999 award, effective from August 1, 2025 to July 31, 2027, will address two foundational questions in this field: the structure of hyper-Kähler manifolds and the compactification of moduli spaces...
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- This $155,678 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research on mirror symmetry and the moduli of Calabi-Yau manifolds, which are important geometric structures in string theory. The award funds a project that will study the mirror symmetry phenomenon and its relation to the classification of Calabi-Yau manifolds, as well as provide research training opportunities for graduate students. The project aims to...
- This federal Project Grant award of $520,463 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports collaborative research exploring the connections between algebra, geometry, and physics. The research aims to advance understanding of multigraded commutative algebra, toric geometry, and symplectic geometry, addressing long-standing gaps and open questions in these areas. The project leverages recent advancements in homological mirror...
- This $180,139 National Science Foundation project grant supports collaborative research in enumerative algebraic geometry conducted by investigators at Rutgers, The State University. The research aims to resolve outstanding questions in enumerative geometry through the study of intersection theory on moduli spaces of geometric figures including flag varieties, their cotangent bundles, bow varieties, and Hessenberg varieties. Techniques include intersection theory, equivariant localization,...
- This Project Grant award, provided by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on bridging singularities in algebra and geometry across mathematical characteristics. The $109,999 award, effective August 1, 2025 through July 31, 2027, aims to deepen the theoretical foundations of commutative algebra and address problems in related disciplines such as algebraic geometry. The research focuses on singularities, or...
This Project Grant award for $204,999.00, provided by the National Science Foundation (NSF) through the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), supports research in the field of algebraic geometry. The primary research objectives are to: The award was made to the Research Foundation for the State University of New York, doing business as Stony Brook University, and will fund this fundamental research in algebraic geometry from August 1, 2025 through July 31, 2027. The research is expected to benefit mathematicians in algebraic geometry, combinatorics, representation theory, and mathematical physicists studying string theory, as well as provide valuable research training opportunities for graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $205.0k | 7/17/25 |