Project Grant 2152262
- This $451,324 National Science Foundation Project Grant supports collaborative research on definability and computability over arithmetically significant fields through The Trustees of the University of Pennsylvania. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), this three-year award will advance understanding of polynomial equations, a foundational mathematical language, through interaction of logic, number theory, algebraic geometry, topology and related areas....
- The National Science Foundation Division of Mathematical Sciences awarded $220,150 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to support collaborative research on definability and computability over arithmetically significant fields. The George Washington University will lead the project in partnership with other institutions. The award period is from July 15, 2022 through June 30, 2025. The project aims to advance understanding of fundamental questions at...
- This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $231,902 to East Carolina University to support collaborative research on definability and computability over arithmetically significant fields from July 15, 2022 to June 30, 2025. The research will consider several problems at the intersection of number theory, algebraic geometry, model theory, computability theory, and...
- This National Science Foundation Project Grant award of $222,314 supports collaborative research on definability and computability over arithmetically significant fields at The Ohio State University from July 2022 through June 2025. The research will consider several problems in definability and computability over fields important to number theory, algebraic geometry, model theory, computability theory and valuation theory. Specifically, the principal investigators intend to study...
- This $290,000 Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (MPS) program supports research in computable model theory and invariant descriptive computability theory. The award, spanning July 2024 to June 2027, will fund work that explores connections between computability theory and the fields of model theory and set theory within mathematical logic. Key objectives include investigating cases where mathematically equivalent objects have...
- The National Science Foundation awarded a $201,000 Project Grant to the University of California, Berkeley under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research in Diophantine geometry and arithmetic geometry, which study solutions to families of polynomial equations. Specifically, the principal investigator and collaborators will develop new frameworks to prove the irrationality of certain conjectured numbers through analysis of rational...
- Federal Grant Award Summary The National Science Foundation's Division of Mathematical Sciences awarded a Project Grant totaling $109,986 to the University of California, Irvine, effective July 1, 2025, through June 30, 2028, under the Mathematical and Physical Sciences program (CFDA 47.049). This research project delivers fundamental mathematical research focused on impossibility results in mathematics, specifically demonstrating why certain classical mathematical problems posed in the...
- This National Science Foundation Division of Mathematical Sciences Project Grant award in the amount of $329,094 provides funding from August 1, 2022 through July 31, 2025 to support research investigating questions about how objects from combinatorics and number theory vary in families. The Principal Investigator at the University of California, Irvine will use ideas from algebraic geometry and number theory to answer combinatorial questions and enhance understanding of error-correcting...
- This $118,647 Project Grant award from the National Science Foundation's Division of Mathematical Sciences (CFDA 47.049, Mathematical and Physical Sciences) supports fundamental research in descriptive set theory and its connections to other mathematical fields, including computability, operator algebras, topological dynamics, and ergodic theory. The award will fund research on questions related to amenability and hyperfiniteness, as well as investigations into classical geometrical paradoxes...
- Federal Project Grant Award Summary The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $300,000 project grant to the University of California, Irvine effective July 1, 2025, through June 30, 2028, under the Mathematical and Physical Sciences program (CFDA 47.049). This award supports fundamental mathematical research organized around two complementary research streams: higher Lie theory and resolvent problems. The principal investigator will develop new theoretical...
This National Science Foundation project grant award of $171,147 provides funding from July 2022 through June 2025 to support collaborative research on definability and computability over arithmetically significant fields at the University of California, Irvine. The research will consider several problems at the intersection of number theory, algebraic geometry, model theory, computability theory and valuation theory regarding definability and computability over number fields, rings of integers, and their infinite algebraic extensions. Another focus area is related problems concerning computability and definability over function fields and rings of all characteristics. The work aims to advance understanding of outstanding questions regarding extensions of Hilbert's tenth problem and the decidability of theories. The award is being made under the Mathematical and Physical Sciences program (CFDA 47.049), which supports increasing the store of scientific knowledge and enhancing understanding of major problems through promoting progress in the mathematical and physical sciences.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $171.1k | 7/13/22 |