This Project Grant award, valued at $197,296, was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program to Michigan State University. The research, titled "CAREER: Quantifying Congruences Between Modular Forms," focuses on advancing the understanding of modular forms and their number-theoretic significance through quantitative analysis. The project aims to compute the number of modular forms congruent to a given form and uncover...
This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant award to Michigan State University totaling $160,279 supports research in the field of algebraic geometry. The project will explore the constraints placed on smooth nonlinear shapes from modular forms, and then examine which features persist when the shapes acquire singularities. This will require the use of more general tools called quasi-modular and mock modular forms. The project offers opportunities for...
This National Science Foundation Project Grant award of $273,250 provides funding from July 1, 2022 through June 30, 2025 to support research into harmonic Maass forms and quantum modular forms. The award is made through the Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in the mathematical and physical sciences. Specifically, the funding will support research at Amherst College studying modern relatives to modular forms, including mock modular forms, harmonic Maass...
The National Science Foundation Division of Mathematical Sciences awarded Oregon State University a $211,490 Project Grant under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, which runs from September 2021 through August 2024, will support research on modular forms, combinatorial generating functions, and hypergeometric functions. The Mathematical and Physical Sciences program aims to strengthen the nation's scientific enterprise through...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 3-year, $250,000 Project Grant to the University of Wisconsin - Madison under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate moduli spaces of surfaces with additional geometric structure. The grant will fund research to solve long-standing conjectures about the geometry and topology of these moduli spaces, which are mathematical spaces that parameterize the shapes an object can take....
This $300,000 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences (CFDA 47.049 - Mathematical and Physical Sciences) supports research on hyperbolic 3-manifolds and their fundamental groups. The grant, awarded to Temple University in Philadelphia on August 15, 2024, aims to make progress on several open questions in this field, with a focus on effective computation and large-scale structure. Key research areas include quantitative control on...
This three-year Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $145,260 to Tufts University to investigate questions in arithmetic statistics through September 2025. Specifically, the grantee will study how arithmetic statistical objects decompose into simpler components and apply uniform bounds to number fields, class groups, and Artin L-functions. This work aims to further...
The National Science Foundation (NSF) awarded a $310,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to The Washington University's Office of Sponsored Research Services Division. The grant supports fundamental mathematical research at the intersection of analytic function theory, harmonic analysis, and operator theory. The proposed work aims to leverage "testing theorems" to address open questions in these areas, which have applications in...
This $300,000 National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) supports research and education activities in the area of automorphic forms and exceptional algebraic structures at the University of California, San Diego from July 1, 2022 to June 30, 2027. The principal investigator will conduct three related research projects investigating half-integral weight modular forms on exceptional groups, modular forms on the exceptional group G2 with...
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...