Project Grant N000142212433

This $178,380 National Science Foundation project grant under the Mathematical and Physical Sciences program enables the Society for Industrial and Applied Mathematics to administer a travel grant program for approximately 100 U.S.-based mathematicians, early career faculty, and graduate students to attend the 2023 International Congress on Industrial and Applied Mathematics in Tokyo, Japan from August 20-25, 2023. SIAM will award travel grants on a competitive basis to support participation...

This $297,450 National Science Foundation project grant supports research into hyperbolic dynamical systems with singularities and coexistence of hyperbolic and non-hyperbolic behavior at the University of Houston from August 1, 2022 to July 31, 2025. The project aims to develop a better understanding of systems displaying hyperbolic behavior in the presence of singularities or coexisting hyperbolic and non-hyperbolic dynamics. Specific activities include studying the properties of such...

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 three-year National Science Foundation Project Grant of $378,000 will support research into boundaries of groups in geometric group theory and hyperbolic geometry at the University of Illinois at Chicago from September 2022 through August 2025. Specifically, the principal investigator and collaborators will investigate the Cannon Conjecture regarding differences between classical and Gromov hyperbolic geometry in three dimensions in the presence of symmetries. They will continue...

This $256,573 National Science Foundation Project Grant under the Mathematical and Physical Sciences program (CFDA 47.049) will support research exploring algebraic aspects of chaotic dynamical systems with hyperbolic behavior at Texas A&M University from July 2022 through June 2025. Specifically, the award will fund investigations into the connections between hyperbolic dynamical systems and group theory, automata theory, and other branches of algebra. The research aims to clarify whether...

This Project Grant award from the National Science Foundation's (NSF) Mathematical and Physical Sciences (CFDA 47.049) program provides $303,150 to Vanderbilt University's Sponsored Programs Administration Division to conduct research on groups acting on hyperbolic spaces and operator algebras. The key objectives include studying the rigidity properties of acylindrically hyperbolic groups, analyzing groups acting on hyperbolic simplicial complexes, and continuing work on automorphisms of von...

This $249,410 National Science Foundation project grant supports research at Texas A&M University exploring the relationship between hyperbolic geometry and quantum invariants. Specifically, the grantee will study the asymptotics of quantum invariants and their connection to the hyperbolic volume of 3-dimensional manifolds and mapping tori of self-homeomorphisms of surfaces. The grantee will pursue three related research themes: developing an explicit formula for adjoint twisted Reidemeister...

This Project Grant award from the National Science Foundation (NSF) Division of Mathematical Sciences supports research on the theory of dynamical systems and conformal dynamical systems. The award, totaling $262,205 over 3 years starting on August 1, 2024, will fund work to address longstanding conjectures and open new research directions in this field. The project will leverage tools from complex analysis, hyperbolic geometry, and arithmetic geometry to study moduli spaces of one-dimensional...

This $160,000 National Science Foundation project grant supports research at Emory University to develop mathematical tools for reconstructing spacetime structure in cosmology and Lorentzian geometry from May 2022 to April 2025. Specifically, the investigator will advance techniques to recover astrophysical phenomena such as gravitational waves, black holes, and cosmic strings from observational data like the cosmic microwave background. The research encompasses integral geometry, partial...

The University of Cincinnati will use a $300,000 Project Grant award from the National Science Foundation Division of Mathematical Sciences to support research examining the role of Gromov hyperbolicity and Besov spaces in quasiconformal analysis from September 1, 2021 to August 31, 2024. The grant funds a three-year research project exploring mathematical concepts with applications to the field of quasiconformal analysis. Specifically, the university will analyze the properties of Gromov...