The Research Foundation For The State University Of New York, doing business as Stony Brook University, received a $239,962 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant, awarded on August 1, 2023, will support research to further test and advance the mathematical foundations of string theory and its predictions regarding the behavior of holomorphic curves...
The Research Foundation For The State University of New York (RF SUNY), doing business as Stony Brook University, received a $417,872 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in quasiconformal analysis, optimal triangulations, and fractal geometry from September 1, 2023 through August 31, 2026. Through this award, RF SUNY will develop algorithms to compute optimal angle bounds and practical triangulations for...
The Research Foundation For The State University Of New York (RF SUNY) was awarded a $319,996 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The grant will support research from July 1, 2021 to June 30, 2024 at Stony Brook University to study K-trivial varieties, their degenerations, automorphisms, and periods. As part of the NSF's mission to promote progress in the mathematical...
The National Science Foundation awarded a $287,991 Project Grant to The Research Foundation For The State University Of New York, also known as Stony Brook University, to support the research project "COMPLEX DYNAMICS: RENORMALIZATION, GEOMETRY, AND ALGEBRA" from June 1, 2021 through May 31, 2024. This award will fund mathematical research into complex dynamics, renormalization, geometry, and algebra under the NSF's Mathematical and Physical Sciences program (CFDA 47.049). The goal...
This three-year project grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $349,952, will support research into the curvature of four-dimensional manifolds at Stony Brook University from September 2022 through August 2025. Specifically, the principal investigator will investigate generalizations of Einstein's field equations of general relativity in the Riemannian setting without distinguishing between space and time. The research aims to...
The National Science Foundation Division of Mathematical Sciences awarded a $490,271 project grant to Stony Brook University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award, issued on June 1, 2021 and concluding on May 31, 2024, will support research into constructions and applications of compactified moduli. As the prime awardee, Stony Brook University will conduct this mathematical sciences research. The Research Foundation for the State...
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,...
This Project Grant award for $155,345.00 was provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program to The Research Foundation For The State University Of New York, doing business as Stony Brook University. The award is for a project focused on the geometry and analysis of complex manifolds, particularly Calabi-Yau manifolds and Kähler-Ricci solitons. The project aims to construct examples of these special geometric structures, describe their...
The National Science Foundation awarded a $358,968 Project Grant to The Research Foundation For The State University Of New York at the University at Albany under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant will support research in the areas of higher depth in representation theory, number theory, and quantum topology from September 2021 through August 2024. As the prime awardee, The Research Foundation For The State University Of New York will oversee...
This National Science Foundation Project Grant award in the amount of $349,981 provides funding from August 1, 2022 to July 31, 2025 to support research at Stony Brook University concerning Floer theory, arc spaces, and singularities. Specifically, the principal investigator will utilize arc spaces to compute various Floer algebras and investigate the relationship between Floer theory, symplectic geometry, and algebraic geometry. Key activities include developing computational techniques using...