Project Grant 2302567
Award Date 8/1/23
Completion Date 7/31/26
Dollars Obligated $153K
Federal Agency
Federal Grant Program
Assistance Type
Project Grant
Place of Performance
Syracuse, NY 13244, USA
Similar Awards
- 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 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) provides $165,000 to Syracuse University to conduct research on homological approaches to differential forms, differential operators, and transfer of algebra structures. The award will support the principal investigator's research on measures of singularity in algebraic geometry, focusing on differential forms, differential operators, cotangent complexes, and DG-algebra and...
- This $119,093 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at North Carolina State University in commutative algebra, algebraic geometry, combinatorics, and singularity theory. The research aims to develop new formulas and computational methods with applications in areas like geometric modeling, investigate the multigraded structures of algebraic varieties, and advance the understanding of...
- This $292,481 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research into local-to-global principles in geometry. The principal investigator plans to apply methods from discrete mathematics, homotopy theory, and other fields to analyze the impact of positive curvature and symmetry on the global shape of high-dimensional geometric objects called manifolds. The research goals involve understanding the interaction between local...
- 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...
- This Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $195,000 award will fund a 2-year collaborative research project to advance the classification and understanding of geometric objects known as varieties, which have applications in science and engineering. The key research objectives include: 1) identifying new...
- 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 $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 $145,512 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research on commutative algebra methods for studying geometric structures arising from polynomial equations. The key objectives are to: 1) understand the singularities of the Hilbert scheme of points on a smooth threefold; 2) explore multigraded Hilbert schemes and other moduli spaces; and 3) develop tools to extend classical theorems in projective...
- 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...