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.