Project Grant 2203308
- 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...
- 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 $300,000 Project Grant was awarded on July 1, 2025 by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will fund research on symmetries of Floer theoretic invariants and their applications to low-dimensional topology, specifically the study of 3- and 4-dimensional spaces and mathematical knots. The principal investigator (PI) and their team at Rutgers, The State University will explore open questions related to...
- 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 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: 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...
- 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...
- 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 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 National Science Foundation Project Grant award in the amount of $349,981 provides funding from August 1, 2022 to July 31, 2025 to support research at Stony Brook University concerning Floer theory, arc spaces, and singularities. Specifically, the principal investigator will utilize arc spaces to compute various Floer algebras and investigate the relationship between Floer theory, symplectic geometry, and algebraic geometry. Key activities include developing computational techniques using arc spaces, refining methods for counting curves in varieties, establishing efficient foundations for such counts, and defining Morava K-theoretic Gromov-Witten invariants in a more efficient manner. The award also supports mentoring graduate students and engaging high school students. This award falls under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the Nation's scientific enterprise through increasing mathematical and physical sciences knowledge and understanding major challenges.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $350.0k | 8/5/22 |