Alexander Goncharov, the Philip Schuyler Beebe Professor of Mathematics at Yale, calls the geometric Langlands solution a “landmark ... mathematicians started to discover weird patterns in prime ...
Connecting the motions of the card structures with the algebra and geometry reveals abstract mathematics performing tangible calculations. Beginning with the nephroid in the 19th-century, the ...
The Geometric problems are interesting as pure mathematics, but they also arise from applications to tomography, such as the Calderon problem of determining (M, g) from its Dirichlet-to-Neumann map.