Project Grant 2603856
- Federal Project Grant Award Summary Stony Brook University, through The Research Foundation For The State University of New York, received a $204,999 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049 – Mathematical and Physical Sciences program) effective August 1, 2025, with completion scheduled for July 31, 2027. The award supports fundamental research into the topology and Hodge theory of algebraic maps, advancing understanding of...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $372,697 Project Grant to The Research Foundation for the State University of New York (RF SUNY), doing business as Stony Brook University, for the period of July 1, 2023 to June 30, 2026. The grant will fund research related to the topology and links of singularities, with applications in areas such as algebraic geometry, combinatorics, and the construction of exotic smooth 4-manifolds and knotted surfaces. The...
- 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 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...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences (CFDA 47.049) awarded Stony Brook University $209,999 on August 1, 2025, for a two-year research project on varieties with trivial canonical class and Hodge theory in algebraic geometry. The award supports fundamental research investigating the classification and structure of K-trivial varieties, with particular emphasis on hyper-Kähler manifolds and the compactification of moduli spaces of...
- The National Science Foundation Division of Mathematical Sciences awarded The Research Foundation For The State University Of New York (operating as Stony Brook University) $295,477 on July 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in renormalization in holomorphic dynamics and Mandelbrot-Lyubich-Connectivity (MLC) theory of low-dimensional dynamical systems. The research investigates the long-term behavior of trajectories in complex...
- Federal Project Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded $155,345 to Stony Brook University through the Mathematical and Physical Sciences program (CFDA 47.049) to conduct fundamental research on degenerations of Kähler manifolds and special non-compact Kähler metrics. The project, active from June 1, 2025, through May 31, 2028, will advance theoretical understanding of complex manifolds—higher-dimensional geometric spaces defined using...
- 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 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...
- Federal Project Grant Award Summary Stony Brook University received a $240,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded July 1, 2025, with completion targeted for June 30, 2027. The research project focuses on advancing mathematical theory and computational techniques for studying Markov chains, which are essential probabilistic models used in sampling algorithms,...
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 investigator will construct explicit upper bounds for Gromov-Witten invariants of all smooth projective varieties—the first general bounds of this kind rather than bounds specific to particular variety families. The project also connects Floer algebras (tools in symplectic geometry) with families of arcs, supporting both computational advancement and geometric applications. Additional aims include relating curve counts between geometrically similar objects and making progress toward the crepant resolution conjecture through Hamiltonian Floer cohomology, establishing orbifold versions of quantum cohomology. The investigator will supervise multiple PhD students on related projects and mentor undergraduate and master's students pursuing PhD study in related fields. Work is performed in Stony Brook, New York, with a period of performance from August 15, 2026, through July 31, 2029. Assistance type is Project Grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 8/4/26 |