Uncertainty quantification (UQ) has become an extremely useful tool in determining sensitivity of complex models. However when the parameter space becomes large these analytical tools have been shown to provide difficulty in generating a converged solution. This workshop will look at the fundamental mathematical tools required to investigate parameter space with the UQ  environment. It will be run by Professor Pierre Gremaud (North Carolina State Univ), an international expert in UQ. It is expected that problems will be set to encourage investigation. In addition during the week round table discussions will be set up to talk about the problems of large parameter space problems and the possible solution methods.