The University of Maine System (UMS), through its University of Maine Division, is conducting a $102,232 federal Project Grant awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) program. The project aims to develop novel theoretical and computational tools for analyzing, designing, and controlling dynamic systems that exhibit irregular behavior, such as modern wind turbine power systems. The research seeks to minimize the negative...
This Project Grant award of $193,010.00 from the National Science Foundation's (NSF) Division of Mathematical Sciences under the CFDA 47.049 Mathematical and Physical Sciences program supports research to develop connections between number theory and physics. The project aims to explore the representation theory of quantum groups and their applications in explaining the bridge between special functions in number theory and statistical mechanics. The research will provide training opportunities...
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 $174,000 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research on the Langlands program, a foundational area of mathematics with connections to physics and computer science. The principal investigator (PI) will explore the representation theory of reductive groups and the theory of automorphic forms, with the primary objectives of studying the multiplicity problem for spherical varieties and using the relative trace...
The National Science Foundation (NSF) awarded a $274,996 project grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the University of Massachusetts (UMass). The grant period runs from June 1, 2024 to May 31, 2027. The primary focus of the research is to advance the study of derived categories of moduli spaces and Fano varieties, with the goal of further developing the interconnections between algebraic geometry, non-commutative geometry, and mathematical...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $170,443 Project Grant to the University of Massachusetts Boston (UMass Boston) under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in "Critical Symplectic Geometry, Lagrangian Cobordisms, and Stable Homotopy Theory." The project aims to incorporate ideas from homotopy theory and category theory into symplectic geometry to prove structural results about...
The National Science Foundation awarded a $358,968 Project Grant to The Research Foundation For The State University Of New York at the University at Albany under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant will support research in the areas of higher depth in representation theory, number theory, and quantum topology from September 2021 through August 2024. As the prime awardee, The Research Foundation For The State University Of New York will oversee...
This National Science Foundation (NSF) Project Grant Award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $210,000.00 in funding to the University of Maryland, College Park to support research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The key objectives are to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The project will involve both graduate and...
This $200,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on the Langlands and relative Langlands programs, which describe subtle relationships between different spaces of automorphic forms. The principal investigators (PIs) will work jointly to study these programs and extend them to new situations, focusing on functoriality and the study of periods. This will generate new insights into...
The National Science Foundation awarded a $362,761 project grant to the University of Maine System under the STEM Education program (CFDA 47.076) to support the collaborative research project "From Community to Practice: Evaluating How Open Educational Resources Facilitate Implementation of Vision and Change Principles Across Diverse Institutions" from October 1, 2021 to September 30, 2026. The University of Maine, operating as the Research & Sponsored Program division of the...