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...
This Project Grant award, provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences program (CFDA 47.049), supports fundamental research into the topology and dynamics of four-dimensional manifolds with symplectic structures. The $156,571 award, spanning from September 1, 2024 to August 31, 2026, will enable the principal investigator to employ advanced mathematical tools, such as surgery on Lefschetz fibrations, Gromov-Witten theory, and family...
This $405,998 Project Grant was awarded by the National Science Foundation (NSF) Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049) to Regents of the University of Michigan, Office of Research and Sponsored Projects, doing business as the University of Michigan. The grant supports the principal investigator's research into the deformation spaces of geometric structures on n-dimensional manifolds. This includes studying the Hitchin component of...
This National Science Foundation (NSF) Project Grant award under the Mathematical and Physical Sciences program (CFDA 47.049) provides $199,482 to the University of Illinois for research on the topology of 3-manifolds and 4-manifolds using bordered Floer homology. The award period runs from August 15, 2024 to July 31, 2027. The key objectives of the research project are to: 1) extend invariants developed in the PI's previous work to 3-manifolds with multiple torus boundary components, and use...
The National Science Foundation Division of Mathematical Sciences awarded a $294,999 Project Grant to the Regents of the University of Minnesota Office of Sponsored Projects Administration to support research on Representations of P-adic Covering Groups and Integrable Systems from August 1, 2021 to July 31, 2024. The grant funds mathematical research into representations of p-adic covering groups and their connection to integrable systems, advancing the goals of the Mathematical and Physical...
Regents of the University of Minnesota was awarded a $280,000 Project Grant from the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The three-year award beginning September 1, 2023 will support collaborative research into derived categories in birational geometry, enumerative geometry, and non-commutative algebra. Specifically, the university will investigate connections between derived categories...
This National Science Foundation (NSF) Project Grant Award, under the Mathematical and Physical Sciences program (CFDA 47.049), provides $210,000.00 in funding to the University of Maryland, College Park to support research on the interplay between polylogarithms, cluster algebras, and hyperbolic geometry. The key objectives are to investigate key conjectures, find new examples of hyperbolic manifolds, and compute invariants using cluster coordinates. The project will involve both graduate and...
This National Science Foundation (NSF) Project Grant award of $210,000.00, under the Mathematical and Physical Sciences (CFDA 47.049) program, supports research at the University of Minnesota on generalized determinantal varieties. The project examines symplectic matrix Schubert varieties, alternating sign matrix varieties, and quiver loci through the development of diagonal Gröbner geometry theory. Key goals include providing opportunities for undergraduate, graduate, and postdoctoral...
The National Science Foundation Division of Mathematical Sciences awarded $350,000 under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program to the Regents of the University of Minnesota for a project grant titled "Modern Homotopical Obstruction Theory." The grant supports research into developing a modern, reusable library of obstruction theory techniques that can be applied across algebraic topology, algebraic geometry, and geometric topology. The Principal...
This National Science Foundation award provides $114,897 to the University of Texas at Dallas under the Mathematical and Physical Sciences program (CFDA 47.049) from August 1, 2022 through July 31, 2025. The principal investigator will conduct research on the existence and properties of minimal surfaces in hyperbolic 3-manifolds. Minimal surfaces are locally area-minimizing geometric objects with applications across various fields including materials science, biology, and low-dimensional...