This grant has supported a study of some fundamental problems in current-and flowdriven instabilities in plasmas and their applications in inertial confinement fusion (ICF) and astrophysics. It has also partially supported 4 PhD thesis projects in ICF, plasma astrophysics, and high performance computing. So far it has generated 20 publications [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20], including 4 Physical Review Letters [1,5,9, 18]. The results have also been disseminated in a number of contributed and invited talks in international conferences (a list of selected invited talks is attached at the end of this report.)