This $292,481 federal Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences supports research into local-to-global principles in geometry. The principal investigator plans to apply methods from discrete mathematics, homotopy theory, and other fields to analyze the impact of positive curvature and symmetry on the global shape of high-dimensional geometric objects called manifolds. The research goals involve understanding the interaction between local...
Syracuse University was awarded a $225,845 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will fund research investigating the geometry and analysis of energy-minimizing deformations with applications to the study of nonlinear elasticity. The project aims to develop new analytic and geometric tools to model nonlinear elasticity while complying with the physical principle of...
Syracuse University was awarded a $475,062 prime Project Grant from the National Science Foundation Division of Materials Research under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant funds research into understanding stress focusing in thin solids in the absence of tensile loads. Specifically, Syracuse University researchers will conduct model experiments buckling polymer films into different geometries to study when resulting shapes turn out smooth versus...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $223,640 to Syracuse University from July 1, 2025 to June 30, 2028 to develop new mathematical tools and refine existing methods to address longstanding challenges in the field of elastic deformations. The research aims to analyze the mathematical foundations of elastic deformations through the framework of Sobolev homeomorphisms, which serve as natural models for nonlinear...
Syracuse University was awarded a $579,303 Project Grant from the National Science Foundation on June 15, 2021 to complete work by May 31, 2024. The grant falls under the Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and enhance understanding of major problems. Specifically, the funding supports an integrated computational and experimental approach to reveal design principles for responsive nanomaterials derived from disordered proteins modified...
This National Science Foundation (NSF) Division of Materials Research award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $392,000 in funding to Syracuse University from August 1, 2023 to July 31, 2026 to conduct theoretical and computational research on rigidity and shape transitions in living and non-living materials. The key objectives of the research are to: 1) study rigidity and convexity in disordered fiber networks, 2) develop a continuum theory to...
Syracuse University was awarded a $358,653 Project Grant from the National Science Foundation on October 1, 2021 to complete the project by September 30, 2025. The grant is part of NSF's Mathematical and Physical Sciences program (CFDA 47.049) to promote progress in these fields and strengthen the nation's scientific enterprise. Under this award, Syracuse University will conduct collaborative research on "Living Biotic-Abiotic Materials with Temporally Programmable Actuation." The...
This National Science Foundation award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $474,108 to Syracuse University from July 2022 to June 2025 for research and education activities in the mathematical fields of complex analysis, complex geometry, and potential theory as applied to compact complex manifolds. The award supports investigation of sections of holomorphic line bundles and asymptotics of related Bergman kernel functions, with applications to quantum...
This $155,783 National Science Foundation project grant under the Mathematical and Physical Sciences program (CFDA 47.049) funds collaborative research at Syracuse University to develop computationally efficient methods for non-smooth and non-convex optimization by exploring sparsity structures in large data sets. The research aims to address critical issues in non-smooth, non-convex optimization arising from sparse modeling of data for applications including machine learning and sparse...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $153,450 to Syracuse University to conduct research on singularities in commutative algebra and algebraic geometry. The research project, titled "Homotopical Methods and Cohomological Supports in Local Algebra," aims to leverage tools from homological algebra to gain deeper insights into the structural properties of commutative rings and study singularities in local...