Project Grant 2401327
- 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 $280,000 Project Grant from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) will support research in birational geometry at New York University from April 2022 through March 2025. Specifically, the principal investigator will use methods from Galois cohomology of function fields, properties of algebraic cycles over non-algebraically closed fields, K-theory, and degeneration techniques to advance understanding of rationality and stable...
- Federal Project Grant Award Summary The Trustees of Boston University received a $225,000 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective September 1, 2025, through August 31, 2027. This award funds research on rational points on algebraic curves, specifically advancing methods to explicitly determine finite sets of rational solutions to polynomial equations of genus 2 or...
- This $172,000 Project Grant award from the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049) supports research by Michigan State University on the birational classification of algebraic varieties. The key goals are to investigate the moduli theory and boundedness of Fano varieties over the integers, explore connections between birational geometry and commutative algebra/arithmetic geometry, and apply new techniques from derived algebraic geometry to study...
- This National Science Foundation (NSF) Division of Mathematical Sciences Project Grant, awarded to New York University (NYU), focuses on the study of systems of nonlinear algebraic equations in many variables. The $320,000 research project aims to advance the understanding of rationality, stable rationality, linearizability, and stable linearizability of actions of finite groups on algebraic varieties, with potential applications to theoretical computer science, cryptography, information...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $110,000 Project Grant to the University of Kansas Center for Research Inc. to study the singularities of algebraic varieties and develop methods to precisely quantify the complexity of polynomial systems through the use of invariants. This 3-year grant, which runs from September 1, 2023 to August 31, 2026, will train graduate students in technical mathematical research, implementation of results using...
- The National Science Foundation (NSF) awarded a $405,500 Project Grant under its Mathematical and Physical Sciences (CFDA 47.049) program to Duke University to support a research program in A1-homotopy theory and its applications to enumerative geometry and number theory. The award will fund research to develop enriched counting methods that can detect differences in the number of solutions to equations requiring real or imaginary numbers, with potential applications in number theory and...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental research on algebraic cycles, automorphic forms, and L-functions. The $230,000 award to The Trustees of Columbia University in the City of New York, spanning July 1, 2024 to June 30, 2027, aims to deepen the understanding of these mathematical objects and their connections, particularly in high dimensions. The research will include work on the...
- This $185,987 National Science Foundation Division of Mathematical Sciences Project Grant supports continued collaborative research in enumerative algebraic geometry at the University of North Carolina at Chapel Hill from August 1, 2022 through July 31, 2025. Specifically, the investigators and their graduate students will further their work resolving outstanding questions in enumerative algebraic geometry through techniques including intersection theory, equivariant localization, symmetric...
- This Project Grant award, provided by the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research in commutative algebra and algebraic geometry. The $207,142 award to Oberlin College will fund investigations into several classical algebraic structures, including differential operators, almost complete intersections, and Gorenstein ideals. The project aims to develop new homological techniques to understand the geometric...
This $260,000 Project Grant awarded by the National Science Foundation's (NSF) Division of Mathematical Sciences aims to advance the understanding of algebraic points on mathematical varieties. The primary research focus is on characterizing the arithmetic and local properties of algebraic points on curves, with complementary projects exploring higher dimensional varieties such as surfaces. The award also supports mentoring and training of early career mathematicians, particularly from underrepresented groups, through initiatives like the Roots of Unity workshop series and the Women in Numbers conference. This work has potential applications in areas like cryptography and coding theory. The grant period runs from September 1, 2024 to August 31, 2027, and there are no planned subawards associated with this award.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $260.0k | 7/2/24 |