Project Grant 2501903
- This three-year, $245,379 National Science Foundation Project Grant in the Mathematical and Physical Sciences program (CFDA 47.049) will support research in the area of algebraic geometry being conducted by the University of Utah. Specifically, the principal investigator will apply techniques from differential geometry to construct moduli spaces parametrizing classes of algebraic varieties beyond the current state of knowledge in Fano varieties. This will include building moduli of both...
- The University of Utah was awarded a $219,199 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on "Homological Aspects of Local Algebra, with a View Towards Modularity." The research project, which runs from August 1, 2025 to July 31, 2027, aims to advance the understanding of algebraic structures and their applications across mathematics, including in areas such as representation theory, topology,...
- The University of Utah Office of Sponsored Projects Division was awarded a $330,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research in the field of algebraic geometry from July 2023 to June 2026. Specifically, the Principal Investigator will generalize results from the Minimal Model Program over complex numbers to varieties over algebraically...
- 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 $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 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 Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program will support research in the fields of algebra and representation theory, with connections to theoretical physics. The USD 281,548 award to Utah State University will fund three related research projects that aim to advance the mathematical understanding of quantum field theory in two and three dimensions. The research will develop new connections...
- 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 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 $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 research aims to deepen the theoretical foundations of these fields and address problems in related disciplines, with a commitment to promoting mathematics education and developing future generations of researchers. The grant will support the supervision, training, and mentoring of graduate students and postdoctoral fellows, as well as the facilitation of seminars and workshops for undergraduate and graduate students.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $220.0k | 7/30/25 |