Project Grant 2532902
- This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
- This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
- This federal Project Grant award of $117,892 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports research on the geometry of mapping class groups and surface bundles, which are fundamental concepts in mathematics. The research project, conducted by the Regents of the University of California at Riverside, aims to develop combinatorial techniques for studying the geometry of these mathematical objects. Additionally, the educational...
- 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 $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 $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 $313,273 Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program will support research at the University of Nebraska aimed at settling various open conjectures in the field of commutative homological algebra. The key research areas include non-commutative analogues for DG categories, duality in Hochschild homology, homological properties of modules of finite projective dimension, Ulrich modules and sheaves, and matrix...
- This federal Project Grant award of $180,000.00 from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports fundamental research on two central topics in combinatorics. The award to Rutgers, The State University will fund work on balancing problems in partially ordered sets and the study of thresholds in discrete random systems, areas where the principal investigator and their students have made recent breakthroughs. The research will involve...
- 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 federal Project Grant award, valued at $200,000.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Federal Grant Program (CFDA 47.049). The award funds collaborative research on non-homogeneous harmonic analysis, focused on matrix weights, Banach space valued Calderón–Zygmund operators, and singular integrals on graphs with cycles. The research aims to advance the mathematical understanding of various types of waves, which have broad...
This federal Project Grant award of $185,266.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences grant program (CFDA 47.049). The award supports research on combinatorial aspects of finite and infinite free resolutions, with a focus on developing techniques in areas such as polyhedral geometry, partially ordered sets, and homological tools. The research will explore the combinatorial structure underlying polynomial systems and their solutions, with applications ranging from robotics to medical imaging. Broader impacts include mentoring undergraduate and graduate students, leading STEM faculty writing groups, and founding a local math circle to engage middle school students. The grant was awarded to the Marshall University Research Corporation, a non-profit research organization affiliated with Marshall University in Huntington, West Virginia, and the project will be performed at the university. The award period runs from September 15, 2025 to August 31, 2027.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $185.3k | 9/3/25 |