Worm-like chain model, ring closure, J factor Statistical mechanics of DNA supercoiling Monte Carlo simulations of DNA DNA stretching Extraction of sequence-dependent parameters from statistical ensembles DNA denaturation, effect of topological constraints, role in transcription regulation Probability of knotting and catenation, removal of knots/catenanes DNA dynamics Dynamics of supercoiling Kinetics of site juxtaposition DNA in microchannels and porous media