The National Science Foundation Division of Mathematical Sciences awarded a $165,663 Project Grant to the University of Maryland, College Park to support the research project "Coarse Geometry of Topological Groups" from November 1, 2021 through August 31, 2023. Under this award, the University of Maryland will conduct research into the coarse geometry of topological groups and deliver mathematical and computational products. The research is funded through the NSF's Mathematical and...
This two-year, $106,027 National Science Foundation Division of Mathematical Sciences Project Grant supports research into mapping class groups and transformation groups at the University of Maryland, College Park. The principal investigator and graduate students will develop new mathematical tools to study the structure of diffeomorphism groups and homeomorphism groups representing symmetries of manifolds. Previous work classified homomorphisms between such groups and proved conjectures...
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 five-year, $350,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program will support research into the classification of locally homogeneous geometric structures on manifolds at the University of Maryland, College Park. The award reflects NSF's mission to promote progress in the mathematical and physical sciences. Specifically, the project will conduct research on four topics: the classification of affine and projective structures with...
The University of Maryland, College Park was awarded a $286,730 Project Grant from the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research activities related to renormalization and higher rank parabolic actions from June 1, 2022 through May 31, 2027. As part of the Mathematical and Physical Sciences program's goal of advancing scientific knowledge and understanding of major problems, this award will support the University's...
The University of Maryland, College Park received a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The award will fund research into free boundary problems for aggregation phenomena and partial differential equations from August 1, 2023 through July 31, 2026. Specifically, the university will study relationships between local interactions and collective motion in...
This $210,000 Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on nonlinear partial differential equations, geometry, and convex analysis. The research aims to develop new analytical techniques with applications in geometry, physics, and algebraic geometry. Key focus areas include studying special Lagrangian submanifolds, Kähler-Einstein metrics, and Monge-Ampère type equations. The...
The National Science Foundation (NSF) awarded a $204,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Michigan to investigate rigidity phenomena in geometry and dynamics, with a focus on actions of higher rank abelian and semi-simple Lie groups and their lattices. This 3-year research project, with an award period from June 2024 to May 2027, will explore topics such as the classification of higher-rank...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $399,773 Project Grant to the University of Illinois, Urbana-Champaign to support research on the "Interactions Between Geometry, Topology, Number Theory, and Dynamics" from August 1, 2023 to July 31, 2026. The research aims to advance the understanding of topology and geometry and their connections to other areas of mathematics and computer science, including applications in data mining and engineering...
The National Science Foundation awarded Brandeis University a $263,986 project grant under the Mathematical and Physical Sciences program (CFDA 47.049) to support research on Group Actions on Hyperbolic Spaces from July 1, 2021 through June 30, 2024. This funding will allow Brandeis University researchers to advance understanding of major problems in mathematics by investigating the behavior of groups acting on hyperbolic spaces. Specifically, the grant will support mathematical analysis of...