The University of Notre Dame received a $249,993 Project Grant award from the National Science Foundation Division of Mathematical Sciences on August 1, 2021 to support research titled "Collaborative Research: Generalized Cluster Structures on Poisson Varieties and Applications." The three-year award will fund research exploring generalized cluster structures on Poisson varieties and their applications. The work directly supports the goals of the NSF's Mathematical and Physical...
The University of Notre Dame received a $284,276 project grant award from the National Science Foundation (NSF) Division of Mathematical Sciences. The award is part of the NSF's Mathematical and Physical Sciences program (CFDA 47.049) to support the project "Geometric Variational Problems and Nonlinear Partial Differential Equations" from July 1, 2021 to June 30, 2024. Under this award, the University of Notre Dame will conduct research on geometric variational problems and nonlinear...
The National Science Foundation (NSF) awarded a $300,000 Computer and Information Science and Engineering (CFDA 47.070) Project Grant to the University of Notre Dame to develop efficient and rigorous algorithms for computing real solutions to systems of polynomial equations. The 3-year project aims to create new mathematical theories and homotopy continuation algorithms that can identify at least one or all real solutions, without needing to compute complex solutions which are often orders of...
The National Science Foundation Division of Mathematical Sciences awarded a $387,000 Project Grant to the University of Notre Dame DU Lac to conduct research on asymptotic analysis of geometric partial differential equations. This 3-year grant, awarded on September 1, 2023, supports the University's work on nonlinear degenerate or singular elliptic partial differential equations that arise in geometry, physics, and engineering. The research aims to study the properties of solutions to these...
This $115,718 federal Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences program (CFDA 47.049) supports advanced research into the algebraic and geometric properties of solutions to systems of polynomial equations. The primary goals of the project are to study the algebraic aspects of these solutions using non-archimedean geometry, investigate the complexity of curves within varieties of general type, and develop new non-archimedean...
The University of Notre Dame received a $104,070 Project Grant award from the National Science Foundation Division of Mathematical Sciences. The grant period runs from October 1, 2021 to June 30, 2023 to support research related to the MONODROMY IN TOPOLOGY AND GEOMETRIC GROUP THEORY project under the Mathematical and Physical Sciences federal grant program (CFDA 47.049). The Mathematical and Physical Sciences program aims to promote progress in these fields and strengthen the nation's...
This NSF CAREER award, provided through the Mathematical and Physical Sciences program (CFDA 47.049), supports a research program at the University of Notre Dame focused on moduli spaces, fundamental groups, and asphericality in algebraic geometry and topology. The $304,875 award, spanning 5 years from July 2024 to June 2029, aims to develop new methods to study moduli spaces of abelian differentials and families of polynomials, with a goal of establishing their asphericality. The project also...
The National Science Foundation awarded a $250,573 Project Grant to the University of Notre Dame under the Mathematical and Physical Sciences program (CFDA 47.049). The grant supports research into singular structures of minimal surfaces and higher dimensional minimal hypersurfaces. Specifically, the Principal Investigator will study the singular set geometry and behavior near singularities of minimal surfaces, as well as classify certain 8-dimensional minimal hypersurfaces in Euclidean space...
This Project Grant award in the amount of $340,001 was provided by the National Science Foundation Division of Mathematical Sciences under the Mathematical and Physical Sciences program (CFDA 47.049). The award supports research at the University of Notre Dame DU Lac on the topological aspects of infinite group theory, with a focus on the topology of mapping class groups, automorphism groups of free groups, and arithmetic groups. The research aims to build connections between geometric...
This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $205,000 to Purdue University under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from July 15, 2022 to June 30, 2025. The grant supports collaborative research on differential methods, implicitization, and multiplicities with a view towards equisingularity theory. Specifically, the grantee will study the relationship between local properties of algebraic varieties...