Project Grant 2452120
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research at Carnegie Mellon University to advance the theoretical and applied frontiers at the intersection of probability, geometry, and combinatorics. The project focuses on three main research directions: 1) enabling efficient statistical inference for geometric probability distributions, 2) analyzing minimum lengths of combinatorial structures in...
- This $150,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on two open problems in algebraic combinatorics that intersect representation theory and algebraic geometry. The principal investigator and collaborators aim to use combinatorics to better understand these abstract mathematical objects in a more concrete way, with potential applications in mathematics, physics, and human-machine...
- This National Science Foundation (NSF) Project Grant award for $210,001, titled "LOCAL TO GLOBAL PHENOMENA IN EXTREMAL AND PROBABILISTIC COMBINATORICS", focuses on exploring the local-to-global principle across mathematics, computer science, and related fields. The key objectives are to investigate local-to-global phenomena in extremal and probabilistic combinatorics, with a specific focus on three central open problems in discrete mathematics. The research team, led by Princeton...
- This Project Grant award for $175,000 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research in algebraic geometry, a central branch of mathematics. The PI will focus on studying the geometry and enumerative geometry of KSBA spaces, which are a generalization of Deligne-Mumford's moduli spaces of curves to higher dimensions. This includes investigating the KSBA moduli spaces of anticanonical surfaces, Calabi-Yau hyperplane...
- This Project Grant award, valued at $137,324.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award is focused on advancing the mathematical understanding of polytopes, which are geometric structures with universal importance in many areas of mathematics, including computer science, architecture, art, and philosophy. The principal investigator plans to attack various problems related to polytopes and...
- This federal Project Grant award of $520,463 from the National Science Foundation's (NSF) Mathematical and Physical Sciences Program (CFDA 47.049) supports collaborative research exploring the connections between algebra, geometry, and physics. The research aims to advance understanding of multigraded commutative algebra, toric geometry, and symplectic geometry, addressing long-standing gaps and open questions in these areas. The project leverages recent advancements in homological mirror...
- This federal Project Grant award for $300,000.00, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research to significantly expand the investigator's work on applications of model theory to the study of geometric structures. The key objectives are to: 1) tackle major transcendence problems such as the Ax-Lindemann-Weierstrass and Ax-Schanuel conjectures for uniformizing functions of geometric structures in higher...
- This $201,798 Project Grant was awarded by the National Science Foundation (NSF) through its Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award will support the Principal Investigator's research on applying new techniques in algebraic geometry to study the geometry of solution sets to systems of polynomial equations. The research will focus on three main directions: cohomology of moduli spaces of stable and smooth curves, and conjectures related to hypersurface...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $194,999 to support collaborative research at Princeton University from June 2022 to June 2024. The funding falls under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to advance scientific knowledge and understanding in these fields. Specifically, the award will bring together researchers to address open problems at the intersection of matroids, graphs, and algebraic...
- This Project Grant award of $154,989, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program, supports research conducted by Carnegie Mellon University (CMU) on positive vector bundles in combinatorics, with a focus on matroids and their applications. The research aims to deepen the interaction between combinatorics and algebraic geometry, addressing long-standing conjectures in matroid theory and exploring implications for areas such as...
This Project Grant award for $180,000.00 from the National Science Foundation (NSF) Mathematical and Physical Sciences program supports research to better understand mathematical structures that are discrete, geometric, and algebraic in nature. The project, conducted by Carnegie Mellon University, aims to investigate optimal discrete objects that possess non-trivial algebro-geometric properties, with applications in areas like combinatorial geometry and locally decodable codes. Key activities include algebraic and geometric studies related to Turán problems and combinatorial finite geometry, with a focus on algebraic constructions, especially in mixed characteristic. The award supports mentoring of students as part of the project, which runs from August 15, 2025 to July 31, 2028. No sub-awards are planned under this grant.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $180.0k | 8/1/25 |