Project Grant 2412044
- 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 $251,133 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research at the University of Southern California (USC) exploring the interplay between algebra and geometry, and their connections to physics. The project aims to advance understanding in the areas of multigraded commutative algebra, toric geometry, and symplectic geometry, with the goal of developing new mathematical...
- 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 National Science Foundation (NSF) Project Grant award, funded under the Mathematical and Physical Sciences grant program (CFDA 47.049), supports a collaborative research project exploring the connections between algebra and dynamics through the study of mathematical structures known as operator algebras. The $130,611 project, which runs from September 1, 2025 to August 31, 2028, aims to advance fundamental knowledge in pure mathematics by investigating how symmetry and complexity interact...
- 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 $220,000 federal Project Grant was awarded on August 1, 2025 by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to the University of Utah. The grant will fund collaborative research to bridge singularities in algebra and geometry across mathematical characteristics. Key focus areas include commutative algebra, algebraic geometry, and the study of singularities using techniques from modular arithmetic and mixed characteristic settings. The...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $193,584 to Auburn University to conduct collaborative research exploring the interplay between algebra and geometry and their connections to physics. The key products and services being delivered include: Advancing the understanding of multigraded commutative algebra, toric geometry, and symplectic geometry through novel mathematical methods...
- This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
- 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 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...
This federal Project Grant award in the amount of $238,628 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The project explores new connections between algebra and geometry, leveraging emerging links between algebraic geometry and symplectic geometry to develop novel mathematical tools and techniques. Key objectives include advancing the understanding of multigraded commutative algebra, toric geometry, and symplectic geometry, as well as providing significant training and mentoring activities for early-career researchers and graduate students. The award is held by the University of Hawaii at Manoa, which will deliver the research and educational activities over the project period from August 1, 2025 to July 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $238.6k | 7/23/25 |