The National Science Foundation (NSF), under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), awarded a $278,000 Project Grant to the University of Washington (UW) to conduct research on the geometry and dynamics of surfaces. The objectives of this 3-year project, which runs from August 2024 to July 2027, are to develop a theory of Eisenstein series and cusp forms for the moduli space of translation surfaces, explore the relationship between combinatorial complexity...
This $290,880 Project Grant, awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), will support research at the University of Washington focused on advancing the mathematical fields of partial differential equations and differential geometry. Key objectives include deriving estimates and establishing regularity for special Lagrangian, complex Monge-Ampère, and Hamiltonian stationary equations. These equations are foundational to...
The National Science Foundation (NSF) awarded a $112,949 Project Grant to The Trustees of the Stevens Institute of Technology to conduct research under the Mathematical and Physical Sciences (CFDA 47.049) program. The project, titled "Uniformization of Surfaces and Mapping Problems in Metric Spaces", aims to develop new mathematical approaches for understanding the geometry of non-smooth spaces, building on the classical Uniformization Theorem. The research will investigate methods for...
The National Science Foundation awarded a $279,707 Project Grant to the University of Washington under the Mathematical and Physical Sciences program (CFDA 47.049). The grant funds research on the regularity theory of measures and dispersive partial differential equations over a five-year period concluding June 30, 2027. The Mathematical and Physical Sciences program supports fundamental research and education in mathematics and the physical sciences to promote scientific progress and strengthen...
The National Science Foundation (NSF) awarded a $333,182 Project Grant through its Mathematical and Physical Sciences (CFDA 47.049) program to the University of Wisconsin - Madison. This grant supports research at the interface of several complex variables, differential geometry, and dynamical systems. The project aims to study the smoothness of transformations on complex-valued function domains, analyze resonance phenomena and singularities, and investigate the stability of holomorphic...
This federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on the implications of self-similar structure in dynamical networks. The $128,950 award made on August 15, 2024 will fund research projects that bridge analytical theories of fractals and differential equations on fractals with applications in network science. The research aims to develop new tools for the analysis, prediction, and...
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 $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $200,000 to conduct fundamental research on mathematical models that describe complex interactions, growth, and motion in irregular environments with stochastic unpredictability. The goal is to discover general mathematical laws that govern such systems, which have implications for a wide range of real-world phenomena including traffic, communication networks,...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $400,000 Project Grant to New York University (NYU) for the period of August 1, 2023 to July 31, 2026. The grant, funded under the Mathematical and Physical Sciences program (CFDA 47.049), focuses on two key areas: Studying geometric evolution equations, specifically mean curvature flow and Ricci flow, with a focus on different aspects of regularity. This research aims to address longstanding open problems at the...