Project Grant 2601582
- 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...
- 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...
- The National Science Foundation Division of Mathematical Sciences awarded the University of Utah $239,523 on September 1, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to conduct mathematical research in p-adic harmonic analysis, periods of algebraic and analytic varieties, and probability in lambda rings. The project, titled "CAREER: P-Adic Harmonics, Periods, and Probability in Lambda-Rings," runs through August 31, 2031, and is performed at the...
- The National Science Foundation (NSF) awarded a $285,000 Project Grant under the Mathematical and Physical Sciences (CFDA 47.049) program to the University of Utah to conduct research on hyperbolic geometry in two- and three-dimensional spaces. The project, running from August 1, 2024 to July 31, 2027, will focus on studying the geometry of hyperbolic 3-manifolds, including investigating the renormalized volume of such manifolds and the connection to the Weil-Petersson gradient flow. The...
- 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...
- 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...
- 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 National Science Foundation Division of Mathematical Sciences awarded the University of Utah $305,000 on August 15, 2026, under the Mathematical and Physical Sciences program (CFDA 47.049) to support research in birational geometry of analytic varieties and the minimal model program in algebraic geometry. The project extends recent breakthroughs in the minimal model program for projective varieties to the context of Kähler varieties—complex manifolds with specific geometric properties fundamental to algebraic geometry, Riemannian geometry, and string theory. The research develops new mathematical tools and frameworks, including generalized pairs consisting of standard pairs and a B-neF, locally exact (1,1) form, to analyze the geometry of compact Kähler varieties. Because divisors and line bundles are rare on non-projective Kähler varieties, standard cohomological methods are insufficient, requiring novel theoretical approaches. The project will support graduate student and postdoctoral training. Performance occurs at the University of Utah in Salt Lake City, Utah, from August 15, 2026, through July 31, 2029. The University of Utah's Office of Sponsored Projects administers the award as the recipient institution.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $305.0k | 8/12/26 |