Project Grant 2405061

Award Date 9/1/24
Completion Date 8/31/27
Dollars Obligated $271K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Nashville, TN 37203, USA
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This Project Grant award, with a total funding amount of $270,578.00, was provided by the National Science Foundation (NSF) under the Mathematical and Physical Sciences (CFDA 47.049) federal grant program. The award supports fundamental research at Vanderbilt University focused on the geometric and spectral structure of group automorphisms and extensions.

Specifically, the project investigates three key areas: 1) developing a new theory of geometric finiteness for subgroups of mapping class groups, 2) studying the asymptotic behavior of least pseudo-Anosov dilatations, and 3) further developing a theory of orientability of fully irreducible free group automorphisms and exploring its interactions with branched covers, stretch factors, and polynomial invariants. The research activities will be integrated with graduate and postdoctoral training, as well as the development of structured opportunities for undergraduate students to engage in mathematical experimentation and exploration. No sub-awards are planned for this award, which has an ultimate completion date of August 31, 2027.

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