This National Science Foundation Project Grant award of $282,638 provides funding from June 1, 2022 to May 31, 2025 to support research in commutative and homological algebra at the University of Nebraska. Specifically, the award will further investigations into open conjectures regarding the possible values of Euler characteristics of certain complex structures and lengths of modules of finite projective dimension. The research project involves four main topics: establishing bounds on module...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will fund collaborative research exploring the connections between algebra and geometry, and their applications in fields such as computer science, data analysis, robotics, and theoretical physics. The $193,584 award, effective August 1, 2025 through July 31, 2028, will support research at Auburn University to advance the understanding of multigraded commutative algebra,...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will fund research at Arizona State University (ASU) focused on advancing the field of commutative algebra. The $225,000 award, effective August 15, 2024 through July 31, 2027, will support investigations into multigraded commutative algebra and the asymptotic behavior of filtrations of ideals. The project aims to enhance the understanding of Hilbert series, explore...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $1,022,898 to Iowa State University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from August 1, 2022 to July 31, 2025. The funding supports collaborative research to resolve three prominent types of open questions in extremal combinatorics using flag algebra techniques. Specifically, the investigators and supported students will study extremal hypergraph...
This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports a research project on the interaction of algebra and geometry, with a focus on the resolution of singularities. The $209,771 award, effective August 15, 2024 through July 31, 2027, will fund research conducted by the University of Missouri System, exploring topics such as properties and applications of filtrations in local rings, inseparable local...
This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $207,142 award to Oberlin College will fund investigations into several classical algebraic structures, including differential operators, almost complete intersections, and Gorenstein ideals. The project aims to develop new homological techniques to understand the geometric...
This Project Grant award of $149,002 was provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award will fund research at the University of Iowa to extend the foundations of representation theory of finite dimensional associative algebras to the setting of algebras in tensor categories. This work aims to broaden participation in mathematics by engaging a diverse group of doctoral students in...
This federal Project Grant award from the National Science Foundation's (CFDA 47.049 - Mathematical and Physical Sciences) provides $257,995 to The University of Iowa to investigate research problems at the intersection of von Neumann algebras, geometric group theory, and continuous model theory. The project aims to develop new mathematical techniques and advance the classification of von Neumann algebras arising from group and measure space structures. The research offers opportunities for...
This Project Grant award of $119,093, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports research at North Carolina State University (NC State) in the areas of commutative algebra, algebraic geometry, combinatorics, and singularity theory. The award focuses on investigating rich multigraded structures that arise in algebraic varieties, with the goal of generating new insights at the intersection of algebra, geometry, and...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research by the University of Chicago to explore new algebraic structures and their applications to areas like mathematical physics and computer science foundations. With $150,000 in funding over a 3-year period from September 2025 to August 2028, the project will investigate chromatic homotopy theory, algebraic K-theory, and power operations, combining...