This Project Grant award from the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049) provides funding of $201,860.00 to the Research Foundation of the City University of New York (RFCUNY) - Medgar Evers College for collaborative research in the area of small quantum groups, their categorifications, and topological applications. The goal of the project is to extend the Khovanov homology invariant to a new homological invariant of three-dimensional...
This Project Grant from the National Science Foundation Directorate for Mathematical and Physical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $122,662 to investigate several research questions in topology at Brooklyn College of the City University of New York from July 1, 2022 to June 30, 2024. Specifically, the award supports three projects exploring how properties of three-dimensional knots and manifolds can be represented by...
This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provided $153,842 to the Research Foundation of the City University of New York (RFCUNY) - Lehman College from September 1, 2023 to August 31, 2025. The grant supports research investigating the relationship between the geometry of curves defined by polynomial equations and the rate at which new solutions are found by augmenting beyond the rational numbers. The project also includes...
This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs,...
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...
The National Science Foundation awarded a $358,968 Project Grant to The Research Foundation For The State University Of New York at the University at Albany under the Mathematical and Physical Sciences program (CFDA 47.049). The three-year grant will support research in the areas of higher depth in representation theory, number theory, and quantum topology from September 2021 through August 2024. As the prime awardee, The Research Foundation For The State University Of New York will oversee...
This federal Project Grant award in the amount of $177,469.00 was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences Grant Program (CFDA #47.049). The award will support research into the geometry of moduli spaces from low-dimensional topology and applications, with a focus on three main directions: studying higher algebraic structures in instanton Floer homology, analyzing the properties of generalized Seiberg-Witten equations, and exploring the...
This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $194,902 to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) to study the quantum symmetries of topological phases of matter. The investigator will classify and distinguish topological phases through their mathematical symmetries, probe their properties, and understand relationships between phases through transitions. Some emphasis will be placed on...
The National Science Foundation (NSF) Division of Mathematical Sciences awarded a $372,697 Project Grant to The Research Foundation for the State University of New York (RF SUNY), doing business as Stony Brook University, for the period of July 1, 2023 to June 30, 2026. The grant will fund research related to the topology and links of singularities, with applications in areas such as algebraic geometry, combinatorics, and the construction of exotic smooth 4-manifolds and knotted surfaces. The...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences, under the Mathematical and Physical Sciences federal grant program (CFDA 47.049), provides $201,419 to the Research Foundation of the City University of New York (RFCUNY) on behalf of Bernard M. Baruch College. The award will support research focused on improving quantitative bounds for foundational results in additive combinatorics, number theory, commutative algebra, and algebraic geometry that rely on...