Project Grant 2532321
- 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 Project Grant award for $250,000 was provided by the Directorate for Mathematical and Physical Sciences at the National Science Foundation under the Mathematical and Physical Sciences program (CFDA 47.049). The award will support research to develop new concepts and tools in the theory of semirings and apply them to problems in algebraic geometry and combinatorics. Key aspects of the project include building the foundation for algebraic geometry over semirings, studying geometric objects...
- This Project Grant from the National Science Foundation's Mathematical and Physical Sciences Directorate provides $160,175 to Harvey Mudd College from August 2021 through July 2023. The grant supports the "LEAPS-MPS: SINGULARITIES, RIGIDITY, AND TRACE MODULES" project. The Mathematical and Physical Sciences Directorate's CFDA #47.049 program aims to advance scientific knowledge and understanding in core areas of mathematics and physics. This award furthers those goals by funding...
- This $204,372 federal Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) supports research on the potential theoretic aspects of complex geometry. The principal investigator will employ methods from potential theory, infinite-dimensional geometry, and geometric analysis to investigate a cluster of interconnected questions and conjectures in complex geometry. The project aims to advance scientific knowledge in this...
- 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 $300,000.00 from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) will support research on quantitative symplectic geometry in higher dimensions. The principal investigator will develop new tools and paradigms to study the quantitative aspects of symplectic geometry, including initiating the study of digital symplectic geometry to link geometric methods with numerical simulations and machine learning. The award will...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $205,601 to the University of Massachusetts for research related to enumerative, algebraic, and asymptotic combinatorics with connections to representation theory and geometry. Specifically, the award supports three research projects that will study problems in graph colorings, Schubert polynomials, and integer flows on graphs...
- This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $210,000 to Brandeis University under the Mathematical and Physical Sciences program (CFDA 47.049) from June 1, 2022 to May 31, 2025. The funding supports research in the field of combinatorics, which analyzes discrete data structures and is a central tool for solving problems in mathematics, computer science, and physics. Specific projects include unifying bijections between planar maps and...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) totaling $249,648 supports research on the relation between geometric and algebraic structures of groups. The award will fund the principal investigator's (PI) investigations into groups with geometric structures, focusing on situations where such groups have subgroups that exhibit undesirable geometric properties. Additionally, the PI will undertake efforts to broaden...
This $249,254 Project Grant award, funded by the Directorate for Mathematical and Physical Sciences (CFDA 47.049 - Mathematical and Physical Sciences), supports fundamental research in geometric combinatorics at Harvey Mudd College. The research, led by the Principal Investigator (PI), focuses on studying geometric objects known as polytopes and how their combinatorial properties can provide insights into related combinatorial objects. Key initiatives include engaging undergraduate students through the Summer@Mudd research program and a Mathematical Connections seminar. The award period runs from January 15, 2026, through December 31, 2027, with the goal of deriving combinatorial results from geometric analysis and using combinatorics to guide further geometric investigations.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $249.3k | 8/22/25 |