Project Grant 2604412
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $222,051 under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) to Kent State University from June 1, 2022 to May 31, 2025. The funding supports research considering questions in the study of singular integrals in non-smooth or rough settings, using existing and newly developed tools. Key areas of focus include a characterization of bounded singular integrals with matrix...
- The National Science Foundation (NSF) awarded a $152,862 Project Grant under its Mathematical and Physical Sciences program (CFDA 47.049) to Rutgers, The State University of New Jersey - Newark Division. The grant will fund research focused on addressing open problems in geometric analysis and exploring their applications in fields such as geometry, topology, and mathematical physics. Key objectives include developing novel approaches in the regularity theory for linear and fully nonlinear...
- The National Science Foundation Division of Mathematical Sciences awarded the Research Foundation of The City University of New York $111,379 on December 1, 2025, under the Mathematical and Physical Sciences program (CFDA 47.049) to develop tools and techniques for solving nonlinear partial differential equations in complex geometry, specifically to advance understanding of canonical metrics on complex manifolds through study of the complex Monge-Ampere equation and constant scalar curvature...
- The National Science Foundation Division of Mathematical Sciences awarded Northeastern University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct research on microlocal analysis applied to singular geometric structures. The project develops analytic and geometric techniques to study singular spaces that arise naturally in mathematics and physics, with particular focus on gravitational instantons and constant curvature metrics with...
- The National Science Foundation Directorate for Mathematical and Physical Sciences awarded Kansas State University $251,327 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in quasiconformal geometry of random and deterministic spaces. The project investigates conformal and quasiconformal mappings in spaces arising from complex analysis, geometric function theory, probability, and low-dimensional topology. The work emphasizes...
- The National Science Foundation Division of Mathematical Sciences awarded Ball State University $125,349 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to investigate mappings and flatness in non-smooth geometry. The project studies non-smooth functions, sets, and abstract geometries beyond classical Euclidean contexts, including fractal spaces. Research activities include analyzing how curves pass through non-smooth objects, decomposing them into simpler...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Utah $305,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in birational geometry of analytic varieties and the minimal model program in algebraic geometry. The project extends recent breakthroughs in the minimal model program for projective varieties to the context of Kähler varieties—complex manifolds with specific geometric properties...
- This $184,844 award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports advanced mathematical research and training at Ohio University, an institution located in Appalachia. The project leverages funding from the NSF-BSF (U.S.-Israel Binational Science Foundation) program to develop an international research partnership between the principal investigator and a colleague at Ben-Gurion University in Israel. The research component will...
- The National Science Foundation Division of Mathematical Sciences awarded $200,000 to The Research Foundation For The State University of New York (operating as Stony Brook University) on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049). The award funds research at the intersection of symplectic geometry and algebraic geometry, focusing on counting special types of curves within geometric objects to advance a conjecture limiting their abundance. The...
- 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...
The National Science Foundation Division of Mathematical Sciences awarded Kent State University $100,000 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) for research on geometric inequalities involving Monge-Ampère operators. The project investigates how the shape of geometric objects influences properties described by Monge-Ampère equations, which arise in geometry, analysis, and mathematical physics. Research focuses on principal eigenvalues associated with Monge-Ampère operators in the real setting, studying Brunn-Minkowski, isoperimetric, Rogers-Shephard, and reverse Brunn-Minkowski-type inequalities, as well as duality and affine-invariant eigenvalue products for convex bodies. The investigators will also pursue foundational questions for complex, quaternionic, and octonionic Monge-Ampère operators, including existence, uniqueness, regularity, and variational formulations. The work draws on convex geometry, harmonic and geometric analysis, nonlinear partial differential equations, symmetrization, shadow systems, and asymptotic theory of normed spaces. The project supports graduate student training through research, seminars, and collaboration among mathematicians in the United States and Israel under the US-Israel Binational Science Foundation collaborative research framework. Performance occurs at Kent State University in Kent, Ohio, with a period of performance extending from September 1, 2026, through August 31, 2028.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $100.0k | 8/11/26 |