This $177,900 Project Grant, awarded by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports research on discrete conformal geometry of polyhedral surfaces. The primary objective is to solve the discrete uniformization problem for all polyhedral surfaces without topological constraints. The research aims to integrate techniques from discrete and computational geometry, Riemann surface theory, convex geometry, and 3D hyperbolic...
The National Science Foundation (NSF) awarded a $343,850 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Cincinnati. This 3-year grant, effective September 1, 2024, will fund research to develop new mathematical tools for analyzing the large-scale geometric behavior of non-smooth metric measure spaces, which have diverse applications across fields like fluid mechanics, neurophysiology, and fractal geometry. The project aims to enhance the...
This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $328,712 to the University of Pittsburgh to conduct research in geometric function theory. The project explores fundamental problems related to mappings and functions with limited differentiability, such as convex functions, Sobolev functions, and Lipschitz/Hölder continuous mappings. The research aims to uncover new mathematical principles that...
This Project Grant award for $330,586, provided by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA No. 47.049), supports research on the geometric and metric properties of two-dimensional surfaces. The principal investigator (PI) at Cornell University will investigate the classification of surfaces under singular flat and hyperbolic metrics, as well as the associated moduli spaces and related mathematical...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports research to develop new mathematical tools and understanding of the long-term dynamics and rigidity of certain infinite-volume mathematical systems. The $300,000 award to Yale University, to be completed by June 30, 2028, focuses on advancing the frontier of pure mathematics, with the goal of enabling applications in areas like data encryption, navigation, and...
The National Science Foundation (NSF) awarded a $285,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Utah to conduct research on hyperbolic geometry in two- and three-dimensional spaces. The project, running from August 1, 2024 to July 31, 2027, will focus on studying the geometry of hyperbolic 3-manifolds, including investigating the renormalized volume of such manifolds and the connection to the Weil-Petersson gradient flow. The...
This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on the geometry of mapping class groups and surface bundles, as well as related educational initiatives. The $117,892 award to the Regents of the University of California at Riverside, effective July 1, 2025 through June 30, 2030, aims to develop combinatorial techniques for studying the geometry of mapping class groups and Teichmüller spaces,...
This $369,910 National Science Foundation project grant supports research into the geometry of sets and measures in Euclidean and non-Euclidean spaces at Stony Brook University from June 1, 2022 to May 31, 2025. The awardee will investigate mathematical analogs to organizing and visualizing large data sets, transferring analysis tools from low-dimensional to higher-dimensional settings. Specific activities include exploring quantitative uniform rectifiability theory in novel metric spaces,...
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....
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...