Project Grant 2201273
- This three-year Project Grant from the National Science Foundation Division of Mathematical Sciences, totaling $540,974, will fund collaborative research applying recent developments in higher category theory and condensed mathematics to longstanding questions in algebraic geometry and the introduction of new questions in analytic algebraic geometry. Specifically, the principal investigators and their collaborators at the University of California, Berkeley will pursue four main research...
- The University of California Irvine received a $130,216 Project Grant award from the National Science Foundation Division of Mathematical Sciences on July 1, 2021 to support research titled "HIGHER DIMENSIONAL ALGEBRAIC VARIETIES: GEOMETRY AND ARITHMETIC" through June 30, 2023. The grant was awarded under the Mathematical and Physical Sciences program (CFDA 47.049), which aims to promote progress in the mathematical and physical sciences and strengthen the nation's scientific...
- The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $200,000 Project Grant to the Regents of the University of California, doing business as the University of California, Berkeley. This grant is funded under the NSF's Mathematical and Physical Sciences program (CFDA 47.049), which aims to strengthen the nation's scientific enterprise through advances in mathematical and physical sciences. The grant supports the development of "homotopical methods in...
- This National Science Foundation Project Grant award of $282,638 provides funding from June 1, 2022 to May 31, 2025 to support research in commutative and homological algebra at the University of Nebraska. Specifically, the award will further investigations into open conjectures regarding the possible values of Euler characteristics of certain complex structures and lengths of modules of finite projective dimension. The research project involves four main topics: establishing bounds on module...
- This $189,661 Project Grant awarded by the National Science Foundation (NSF) Directorate for Mathematical and Physical Sciences (CFDA 47.049) supports research at Pomona College in Claremont, California. The project focuses on developing new methods in noncommutative metric geometry to advance the approximation of infinite-dimensional quantum mechanical algebras by finite-dimensional counterparts. Key outcomes will include enhancing connections between noncommutative topology, noncommutative...
- This Project Grant award of $134,046 was obligated on September 1, 2025, through the Division of Mathematical Sciences (DMS) under the National Science Foundation's Mathematical and Physical Sciences program (CFDA 47.049). The award funds theoretical research at UC San Diego focused on the classification and moduli spaces of higher dimensional algebraic varieties, with particular emphasis on degenerations of hypersurfaces and the singular varieties appearing within moduli spaces. The principal...
- 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 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 Project Grant from the National Science Foundation Division of Mathematical Sciences provides $206,442 to support fundamental research into geometric structures incorporating torsion, with potential applications in mathematics and physics. Funded under the Mathematical and Physical Sciences program (CFDA 47.049), the award to the University of California Irvine from August 15, 2022 through July 31, 2025 will aid in uncovering geometric and analytic aspects of generalized Ricci curvature,...
- This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $290,813 to The Washington University in St. Louis to support a research project in noncommutative geometry and its applications. The primary objectives are to: Introduce new numerical invariants to distinguish noncommutative spaces and refine known invariants such as the Connes-Chern character. Apply cyclic theory to study an analytic version of the Milnor...
This $200,000 National Science Foundation Division of Mathematical Sciences Project Grant will support research and training in noncommutative algebra and geometry at the University of California Irvine from July 1, 2022 to June 30, 2025. The award will advance fundamental understanding of noncommutative algebraic structures that arise in geometry and physics. Researchers will develop new techniques to deduce good algebraic properties for geometrically constructed noncommutative algebras and provide tools to represent geometric structures corresponding to noncommutative algebras. Specifically, the project involves using methods of Koszul duality and representations of finite-dimensional algebras to investigate properties of Artin-Schelter regular algebras and graded Calabi-Yau algebras. Researchers will also utilize approaches to understand noncommutative discrete spaces and construct noncommutative spectrum functors for rings and C*-algebras. Outcomes will include greater insight into longstanding conjectures in noncommutative algebra and geometry. The award is consistent with the NSF Mathematical and Physical Sciences program's goals of strengthening the nation's scientific enterprise through increased knowledge and understanding in major problem areas.
Mod # | Description | ReasonForModification | Federal Obligation | Date |
|---|---|---|---|---|
| Not listed | $200.0k | 4/8/22 |