Benson Farb works on topology and geometric group theory. His University of Chicago page identifies his research publications and books.[ref]
With Dan Margalit, he wrote A primer on mapping class groups (Version 5.0) by Benson Farb and Dan Margalit. The book studies symmetries of surfaces up to deformation. A Dehn twist is supported in an annulus, yet repeated twisting has a precisely calculable effect on intersection numbers of curves. This links a local geometric operation with the algebra of a mapping class group.[ref]
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Benson Farb is a mathematician known for his work in topology and geometry, particularly in the areas of algebraic topology and the study of mapping class groups. He has contributed significantly to the understanding of the properties of surfaces and their symmetries, as well as the mathematical structures that arise from these studies. Farb is also involved in mathematical outreach and education, and he has authored or co-authored several research papers and books in his field.