Project Grant 2506116
- 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 $150,000 Project Grant award was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The funding supports collaborative research combining ideas and techniques from several exciting areas of contemporary mathematical thought, including homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The project aims to develop new connections between these fields, with plans to classify important...
- 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 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...
- The National Science Foundation (NSF) awarded a $145,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Chicago. The grant supports research into the relationship between algebraic K-theory of fields, multiple polylogarithms, and cluster structures. The project aims to uncover new connections between these mathematical concepts, with potential applications in number theory, topology, and mathematical physics. Key objectives include proving...
- The National Science Foundation (NSF) awarded a $149,999 Project Grant under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049) to the Research Foundation for the State University of New York (RF SUNY) to conduct collaborative research on the intersection of homotopy theory, algebraic K-theory, smooth manifolds, polyhedra, and knots. The research aims to develop powerful connections between these mathematical fields, including classifying important geometric objects,...
- This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $210,000 in funding to The Trustees of Smith College to support research on combinatorial models in representation theory, geometry, and analysis. The key focus areas of the research project include optimizing and analyzing two types of edge-labeled graphs: webs from knot theory and representation theory, and algebraic splines from applied mathematics. The...
- This $199,786.00 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research in combinatorial representation theory by Dartmouth College. The project aims to develop efficient computational algorithms that use combinatorial tools to analyze how algebraic representations can be combined, with potential applications in fields like computer vision, quantum physics, and fast matrix multiplication. Key objectives...
- 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, provided by the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049), supports collaborative research on bridging singularities in algebra and geometry across mathematical characteristics. The $109,999 award, effective August 1, 2025 through July 31, 2027, aims to deepen the theoretical foundations of commutative algebra and address problems in related disciplines such as algebraic geometry. The research focuses on singularities, or...
This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will provide $200,000 over 3 years to support research in combinatorial K-theory and its applications. The principal investigator (PI) will conduct research to advance the understanding of K-theory spaces of manifolds and Lawvere theories, using the newly-developed framework of combinatorial K-theory. This project will also include mentoring and training of students, organization of a collaborative workshop, creation of a graduate-level professional development course on mathematical communication skills, and development of active learning materials for undergraduate education. The research aims to expand the state-of-the-art in combinatorial K-theory and enable new applications across diverse mathematical fields.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 7/31/25 |