Project Grant 2502134
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $155,345 to support research on Calabi-Yau manifolds and Kähler-Ricci solitons, which are special types of complex manifolds with wide-ranging applications in physics and mathematics. The project aims to (1) construct examples of non-compact singularity model geometries, (2) describe the moduli of these spaces, and (3) analyze the corresponding degenerations. This...
- The Research Foundation For The State University Of New York (RF SUNY) was awarded a $319,996 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from July 1, 2021 to June 30, 2024 at Stony Brook University to study K-trivial varieties, their degenerations, automorphisms, and periods. As part of the NSF's mission to promote progress in the mathematical...
- 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: Determine the exact form of the decomposition theorem for the Hitchin morphism for G-Higgs bundles with log-poles over a curve. Formulate and prove the topological mirror symmetry conjecture for the intersection cohomology...
- 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...
- 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,...
- This Project Grant award for $175,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research in algebraic geometry, a central branch of mathematics. The PI will focus on studying the geometry and enumerative geometry of KSBA spaces, which are a generalization of Deligne-Mumford's moduli spaces of curves to higher dimensions. This includes investigating the KSBA moduli spaces of anticanonical surfaces, Calabi-Yau hyperplane...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in the field of general relativity and mathematical relativity. The purpose of the project is to study several problems in general relativity using differential geometry and mathematical analysis techniques. Key objectives include investigating the Weak Cosmic Censorship Conjecture, developing new proof methods for the Positive Mass Theorem,...
- 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 federal Project Grant award of $240,914 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on algebraic geometry and its applications. The project, led by Georgia Tech Research Corporation, focuses on developing new techniques and moduli theories for studying higher-dimensional algebraic varieties, particularly leveraging the concept of K-stability to construct moduli spaces for Fano varieties and Calabi-Yau manifolds. The...
- The National Science Foundation Division of Mathematical Sciences awarded a $490,271 project grant to Stony Brook University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, issued on June 1, 2021 and concluding on May 31, 2024, will support research into constructions and applications of compactified moduli. As the prime awardee, Stony Brook University will conduct this mathematical sciences research. The Research Foundation for the State...
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 of strict Calabi-Yau manifolds. The project involves the collaboration of early-career researchers, including doctoral students, and aims to develop new techniques with potential applications in mathematics, physics, and computer science. The award recipient is The Research Foundation for The State University of New York, which operates as Stony Brook University, a leading research institution.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $210.0k | 7/18/25 |