Jeff Danciger

Jeff Danciger

Jeff Danciger

Associate Professor of Mathematics
10.128 PMA (2515 Speedway)
My research focuses on the geometry, topology, and deformation theory of locally homogeneous geometric structures on manifolds, a subject with roots in Felix Klein’s 1872 Erlangen program that features a blend of differential geometry, Lie theory, representation theory, and dynamics. I study an array of low-dimensional geometric structures modeled on non-Riemannian geometries including semi-Riemannian, affine, and projective geometries. Of particular interest to me is a phenomenon known as geometric transition, by which different moduli spaces of geometric manifolds interact with one another.