This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $169,979 to Haverford College under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from June 2022 through May 2025. The award will support research addressing two topics in the algebra, geometry, and representation theory of reductive algebraic groups over non-Archimedean local fields. Specifically, the investigator will apply techniques from geometric group theory...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $165,000.00 to North Carolina State University (NC State) to study algebraic invariants of matroids and their applications in combinatorics. The key objectives include: Developing a simpler and more general definition of the intersection cohomology module of a matroid, which will enable positive characteristic analogues of Kazhdan-Lusztig polynomials and shed...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provided $153,842 to the Research Foundation of the City University of New York (RFCUNY) - Lehman College from September 1, 2023 to August 31, 2025. The grant supports research investigating the relationship between the geometry of curves defined by polynomial equations and the rate at which new solutions are found by augmenting beyond the rational numbers. The project also includes...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
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 Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $194,999 to support collaborative research at Princeton University from June 2022 to June 2024. The funding falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will bring together researchers to address open problems at the intersection of matroids, graphs, and algebraic...
This Project Grant award, valued at $246,125 and awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049), supports research at Carleton College aimed at advancing the theory of resolvent degree, a measure of complexity for solving polynomial equations. The key products and services to be delivered through this 2-year award include: 1) Developing computational techniques and improving existing theorems related to resolvent degree and adjacent...
This National Science Foundation (NSF) project grant under the Mathematical and Physical Sciences program (CFDA 47.049) of $304,102 awarded to Saint Mary's College of California provides funding for a partnership between the PI and the Institute for Pure and Applied Mathematics (IPAM) to advance undergraduate research experiences in matroid theory. The key activities include: 1) formalizing the partnership between Saint Mary's College and IPAM, including the PI's participation in IPAM's 2024...
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 $185,987 National Science Foundation Division of Mathematical Sciences Project Grant supports continued collaborative research in enumerative algebraic geometry at the University of North Carolina at Chapel Hill from August 1, 2022 through July 31, 2025. Specifically, the investigators and their graduate students will further their work resolving outstanding questions in enumerative algebraic geometry through techniques including intersection theory, equivariant localization, symmetric...