Project Grant 2301374
- This three-year, $245,379 National Science Foundation Project Grant in the Mathematical and Physical Sciences program (CFDA 47.049) will support research in the area of algebraic geometry being conducted by the University of Utah. Specifically, the principal investigator will apply techniques from differential geometry to construct moduli spaces parametrizing classes of algebraic varieties beyond the current state of knowledge in Fano varieties. This will include building moduli of both...
- The University of Utah received a $219,199 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for a two-year project running from August 1, 2025 through July 31, 2027. The award supports fundamental research in homological aspects of local algebra with application to modularity theory, building on methodologies introduced through Andrew Wiles' proof of the Shimura-Taniyama-Weil conjecture....
- Federal Project Grant Award Summary The University of Utah received a $220,000 Project Grant from the National Science Foundation's Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) for the period August 1, 2025, through July 31, 2027. This collaborative research initiative focuses on bridging singularities in algebra and geometry across characteristics through advanced theoretical research in commutative algebra and algebraic geometry. The...
- Federal Project Grant Award Summary The University of Utah's Office of Sponsored Projects received a $140,000 Project Grant award dated August 15, 2025, from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports a two-year research initiative extending through July 31, 2027, focused on developing differential and analytic techniques in p-adic geometry with applications to p-adic automorphic...
- Federal Grant Award Summary The University of Utah received a $200,001 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2028. This award supports fundamental research in geometric group theory, specifically investigating the mathematical properties of groups that arise as symmetry groups of Cantor sets. The project delivers theoretical research...
- Federal Project Grant Award Summary The University of Utah received a $300,772 Project Grant from the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), awarded July 15, 2025, with completion targeted for June 30, 2028. This collaborative research initiative develops and analyzes computational methods for solving extremal eigenvalue problems with geometric constraints, with applications to physical phenomena...
- Federal Grant Award Summary Utah State University received a $100,000 Project Grant from the National Science Foundation (NSF), Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049), effective August 1, 2025 through July 31, 2027. This award supports fundamental research in Lie theory focused on developing theoretical frameworks and mathematical models for understanding algebraic symmetry reduction. The primary deliverables include the development...
- This $207,485 federal Project Grant award from the National Science Foundation (NSF) Mathematical and Physical Sciences (CFDA 47.049) program supports research into the classification and analysis of dynamical systems and group actions at the University of Utah. The project aims to study the concept of "conjugacy" in dynamical systems, exploring generalizations and extensions to better understand the mathematical properties that define equivalence between such systems. This work will...
- This $299,996 Project Grant award from the National Science Foundation's (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences (CFDA 47.049) program supports fundamental mathematical research by a team at Utah State University. The project aims to develop new algebraic and geometric tools to formalize and advance the mathematical theory underlying quantum physics, particularly in low-dimensional topology and the theory of quantum invariants. The key products and...
- The University of Utah was awarded a $357,839 project grant from the National Science Foundation Division of Mathematical Sciences on September 1, 2021. The grant is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) and will support the "RANDOM POLYMER MEASURES" project through August 31, 2024. Under this award, the University of Utah will deliver products and services focused on advancing understanding of major problems in the mathematical and physical...
The University of Utah Office of Sponsored Projects Division was awarded a $330,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The grant will fund research in the field of algebraic geometry from July 2023 to June 2026. Specifically, the Principal Investigator will generalize results from the Minimal Model Program over complex numbers to varieties over algebraically closed fields of positive characteristic and Kähler varieties. Areas of focus include showing the Minimal Model Program holds for compact Kähler KLT threefolds and fourfolds, developing the theory of generalized KLT Kähler varieties, and investigating the Minimal Model Program for threefolds in characteristic 3 and the pluricanonical maps of projective 3-folds over large characteristic fields. Graduate students and post-docs will be involved in various aspects of this research being conducted at the University of Utah in Salt Lake City.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $330.0k | 5/15/23 |