[en] Study of muon catalysis of nuclear fusion and phenomena commonly referred to as cold fusion has been central to our effort. Muon catalyzed fusion research concentrated primarily on the identification of energy efficient production of muons, and the understanding and control of the density dependence of auto-poisoning (sticking) of the catalyst. We have also developed the in-flight fusion description of the tμ-d reaction, and work in progress shows promise in explaining the fusion cycle anomalies and smallness of sticking as a consequence of the dominant role of such reactions. Our cold fusion work involved the exploration of numerous environments for cold fusion reactions in materials used in the heavy water electrolysis, with emphasis on reactions consistent with the conventional knowledge of nuclear physics reactions. We then considered the possibility that a previously unobserved ultra-heavy particle X^- is a catalyst of dd fusion, explaining the low intensity neutrons observed by Jones et. al. 29 refs