The National Science Foundation Division of Mathematical Sciences awarded a $218,502 Project Grant to Fort Lewis College in Durango, Colorado. This two-year grant, titled "PRIMES: The Inverse Eigenvalue Problem for Graphs and Collaboration to Promote Inclusivity in Undergraduate Mathematics Education", will fund a partnership between Fort Lewis College, a Minority Serving Institution, and the American Institute of Mathematics. The project aims to advance research excellence at a...
This $100,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental and applied research in algebraic combinatorics at the University of Michigan. The project aims to extend connections between combinatorial structures in algebra and geometry, with a focus on developing new combinatorial techniques in classical incidence geometry and further advancing the theory and applications of cluster algebras. Key...
This National Science Foundation Project Grant of $121,754 awarded on September 1, 2022 will support research into number theory through August 31, 2024 under the Mathematical and Physical Sciences CFDA 47.049 program. Specifically, the University of Michigan-Dearborn will extend prior work on Bianchi modular forms, elliptic Dedekind sums, and L-functions over imaginary quadratic fields. The Principal Investigator will study generalizations of Szeché's Eisenstein cocycles with applications to...
This $405,998 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to Regents of the University of Michigan, Office of Research and Sponsored Projects, doing business as the University of Michigan. The grant supports the principal investigator's research into the deformation spaces of geometric structures on n-dimensional manifolds. This includes studying the Hitchin component of...
The National Science Foundation (NSF) has awarded a $100,000 Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to Michigan Technological University. The grant will fund the development of novel finite element methods for solving nonlinear eigenvalue problems, which have important applications in science and engineering. The project focuses on recasting these problems as eigenvalue problems of holomorphic Fredholm operator functions, and developing effective...
This Project Grant from the National Science Foundation Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $162,012 to Michigan State University for research and education activities related to inverse problems for wave equations from August 1, 2023 to July 31, 2028. The award supports the development of mathematical theory and computational methods to advance non-destructive probing techniques. The grantee will investigate fundamental...
This $300,000 project grant award from the National Science Foundation's (NSF) Computer and Information Science and Engineering (CISE) program (CFDA 47.070) supports research on the query complexity of linear algebra problems. The overarching goal is to develop more efficient algorithms for solving core matrix problems, such as systems of linear equations and eigenvalue computations, which have widespread applications across machine learning, scientific computing, and engineering. The research...
This National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) Project Grant award to the Regents of the University of Michigan, through its Office of Research and Sponsored Projects, provides $250,000 in funding from September 1, 2024 to August 31, 2027. The award supports research to develop new theoretical tools and algorithm design techniques for the emerging area of operator learning - the use of statistical machine learning to find fast approximations for solving...
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 National Science Foundation Project Grant award in the amount of $241,311 provides funding from June 1, 2022 through May 31, 2025 to support research into arithmetic questions in the theory of linear algebraic groups at Michigan State University. The principal investigator will investigate the arithmetic, geometric, and structural aspects of algebraic groups over higher-dimensional fields, with a focus on various finiteness properties. Specific objectives include establishing finiteness...