Project Grant 2452031
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This $199,786.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in combinatorial representation theory by Dartmouth College. The project aims to develop efficient computational algorithms that use combinatorial tools to analyze how algebraic representations can be combined, with potential applications in fields like computer vision, quantum physics, and fast matrix multiplication. Key objectives...
- This Project Grant award, valued at $137,324.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award is focused on advancing the mathematical understanding of polytopes, which are geometric structures with universal importance in many areas of mathematics, including computer science, architecture, art, and philosophy. The principal investigator plans to attack various problems related to polytopes and...
- 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 $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 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 $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 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 $150,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding supports collaborative research combining ideas and techniques from several exciting areas of contemporary mathematical thought, including homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The project aims to develop new connections between these fields, with plans to classify important...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) totaling $249,648 supports research on the relation between geometric and algebraic structures of groups. The award will fund the principal investigator's (PI) investigations into groups with geometric structures, focusing on situations where such groups have subgroups that exhibit undesirable geometric properties. Additionally, the PI will undertake efforts to broaden...
This Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program, aims to advance the computational theory of Groebner categories and their representations, with applications to fields such as combinatorics, algebra, and topology. The PI will develop a computational framework for the representation theory of combinatorial categories, provide concrete applications for explicitly computing relevant quantities, and train graduate students as part of the project. The award totals $150,000.00 and will be performed at the Stevens Institute of Technology in Hoboken, NJ over the period from August 15, 2025 to July 31, 2028. No sub-awards are planned for this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $150.0k | 8/14/25 |