Project Grant 2502339
- This $271,119 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports collaborative research on complex Lagrangians, integrable systems, and quantization in relation to mirror symmetry. The University of California, Davis will lead a research group investigating mirror symmetry as it relates to symplectic geometry and complex algebraic geometry. The group will establish complex Lagrangian geometry as a tool to study geometric...
- This Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences program (CFDA 47.049) provides $155,345 to support research on Calabi-Yau manifolds and Kähler-Ricci solitons, which are special types of complex manifolds with wide-ranging applications in physics and mathematics. The project aims to (1) construct examples of non-compact singularity model geometries, (2) describe the moduli of these spaces, and (3) analyze the corresponding degenerations. This...
- This federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides $137,739 to support collaborative research on the interactions between algebra and geometry. The project aims to develop new mathematical tools that bridge these two foundational areas of mathematics, exploring connections through the lens of physics and homological mirror symmetry. Key objectives include advancing understanding in multigraded...
- This $193,767 Project Grant awarded by the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports research by Columbia University into the existence and properties of canonical metrics in complex geometry. The project aims to advance the mathematical understanding of canonical metrics, such as Calabi-Yau metrics, which are closely related to problems in general relativity and string theory. The research will focus on developing new tools and techniques in...
- This $279,965.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research at the University of Michigan to investigate open questions in the areas of complex analysis and geometry using innovative non-Archimedean methods. The key focus areas include studying the Yau--Tian--Donaldson conjecture on an algebro-geometric criterion for the existence of constant scalar curvature metrics, examining the existence of...
- This $380,000 project grant from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of Illinois on mirror symmetry. The three-year award will fund a collaborative research group investigating mirror symmetry as it relates to symplectic geometry, complex algebraic geometry, and quantization. The group brings expertise from different mathematics areas and will use various techniques to construct concrete models...
- This three-year, $157,604 National Science Foundation Project Grant in the Mathematical and Physical Sciences program (CFDA 47.049) will support research at Boston University focusing on gravitational instantons, mirror symmetry, and enumerative geometry. Specifically, the principal investigator will investigate the differential geometric aspects of gravitational instantons and implications for enumerative geometry and algebraic geometry through mirror symmetry. The research aims to unify...
- This Project Grant award for $204,999.00, provided by the National Science Foundation (NSF) through the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049), supports research in the field of algebraic geometry. The primary research objectives are to: Determine the exact form of the decomposition theorem for the Hitchin morphism for G-Higgs bundles with log-poles over a curve. Formulate and prove the topological mirror symmetry conjecture for the intersection cohomology...
- This $150,000.00 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at the University of California, San Diego (UC San Diego) focused on resolving longstanding problems in bosonic string theory and conformal field theory. The key objectives are to: Determine the law of the random modulus for different topologies of Brownian surfaces, which are special Liouville Quantum Gravity (LQG) surfaces that arise as...
- This Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research on the classification and structure of K-trivial varieties, which include important mathematical objects like elliptic curves and Calabi-Yau threefolds. The $209,999 award, effective from August 1, 2025 to July 31, 2027, will address two foundational questions in this field: the structure of hyper-Kähler manifolds and the compactification of moduli spaces...
This $155,678 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program supports fundamental research on mirror symmetry and the moduli of Calabi-Yau manifolds, which are important geometric structures in string theory. The award funds a project that will study the mirror symmetry phenomenon and its relation to the classification of Calabi-Yau manifolds, as well as provide research training opportunities for graduate students. The project aims to establish new cases of the Homological Mirror Symmetry (HMS) conjecture for Calabi-Yau manifolds of complex dimensions 2 and 3, guided by the Strominger-Yau-Zaslow (SYZ) conjecture. This research seeks to advance the understanding of the intricate geometric relations between paired Calabi-Yau manifolds and their implications for physical theories in string theory. The award period runs from August 1, 2025 to July 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $155.7k | 7/28/25 |