Our Research Introduction Introduction to our research Experimental Techniques Hall sensor measurements Magneto-optical imaging SQUID on tip sensors Recent Projects Imaging and Mapping the Phase Diagram of Underdoped BSCCO Melting of pancake vortex lattice in the presence of Josephson vortex lattice Suppression of geometrical barrier in BSCCO crystals by Josephson vortex stacks Dynamical aspects of the vortex phase diagram The effect of oxygen overdoping on the transition lines Thermodynamic vortex matter phase diagram Influence of spatial variations in the lower critical field on the equilibrium field penetration into superconductors Melting of 'porous' vortex matter Temperature variations of the disorder-induced vortex-lattice-melting landscape Visualization of the first-order vortex-lattice melting transition Shear-induced vortex decoupling Dynamic instabilities and memory effects in the vortex matter Disorder-driven transition and vortex instabilities in Corbino disk geometry Movies Magneto-optical movies of the melting process Differential magneto-optical imaging Suppression of geometrical barrier in BSCCO crystals by Josephson vortex stacks