Deformed shell model (DSM) based on Hartree-Fock intrinsic states is applied to address two current problems of interest. Firstly, in the f 5/2 pg 9/2 model space with jj44b effective interaction along with isospin projection, DSM is used to describe the structure of the recently observed low-lying T = 0 and T = 1 bands in the heavy odd-odd N=Z nucleus 66 As. DSM results are close to the data and also to the shell model results. For the T = 1 band, DSM predicts structural change at 8 + just as in the shell model. In addition, the lowest two T = 0 bands are found to have quasi-deuteron structure above a 64 Ge core and the 5 + and 9 + levels of the third T = 0 band are found to be isomeric states. Secondly, in a first application of DSM to dark matter, detection rates for the lightest supersymmetric particle (a dark matter candidate) are calculated with 73 Ge as the detector.