Project Grant 2231286

Award Date 9/1/22
Completion Date 9/30/25
Dollars Obligated $442K
Federal Grant Program
47.049
Assistance Type
Project Grant
Place of Performance
Madison, WI 53706, USA
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This Project Grant from the National Science Foundation's Division of Mathematical Sciences provides $442,140 to the University of Wisconsin-Madison under the Mathematical and Physical Sciences federal grant program (CFDA 47.049) from September 2022 through September 2025.

The funding supports research into the geometry, topology, and dynamics of curves, surfaces, and three-manifolds through investigating the mapping class group of surfaces. Specifically, the principal investigator and collaborators will take a three-pronged approach utilizing: 1) the algebra and dynamics of mapping class groups of both finite and infinite type surfaces; 2) the length spectra of non-positively curved metrics on surfaces; and 3) the coarse geometry of various graphs naturally associated with surfaces. Results from this work are expected to provide insights across mathematics, including algebraic geometry, low-dimensional topology, and dynamics. The award also supports the principal investigator's engagement with initiatives addressing equity and justice in mathematics.

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