Chapter One presents an overview of phosphorus reagents for the carbon homologations of aldehydes and ketones leading to functionalized carbonyl derivatives. Select examples are provided to exemplify the utility of carbon homologation methodology in synthesis and asymmetric organocatalysis and in the total synthesis of natural products. The directing effect of acetals on regioselective ylide formation is explored in Chapter Two. Evidence is presented for ylide formation through a complex induced proximity effect with lithium bases under coordinating conditions. Moreover, four-carbon donors represent a limit for useful directed ylide formation with trialkylphosphine-derived Wittig salts in carbonyl homologation reactions. A facile approach to the synthesis of methyl vinyl ketones (MVKs), using acetonyl tripropylphosphoranes under mild conditions, is reported in Chapter Three. A library of diversely functionalized MVKs was synthesized as a demonstration of the scope and generality of the methodology. The application of MVKs as substrates for organocatalysis and as building blocks for useful polyketide intermediates is briefly highlighted. In Chapter Four, the two-carbon homologation methodology that was presented in the previous chapter is applied to the synthesis of the polyketide olivetol and a series of O-methyl derivatives. Cyclic diketone intermediates were aromatized with catalytic iodine and DMSO as a terminal oxidant. Modification of the solvent system allowed for the selective synthesis of mono- or dimethyl ethers of methyl olivetolate. The selectivity of this aromatization is further explored in the final chapter with more complex substrates. Chapter Five focuses on the synthesis of the meroterpene phytocannabinoids found in Cannabis sativa. A synthetic strategy involving the sequential condensation/[3+3]-annulation of citral with cyclic 1,3-diketones synthesized in the previous chapter. This afforded non-aromatic meroterpenes that were subjected to acid-mediated thermal rearrangement and catalytic oxidative aromatization. Evidence for chemoselectivity of the aromatization methodology was demonstrated and a synthesis of methyl cannabinolate is presented. / Thesis / Doctor of Philosophy (PhD) / Methodologies for the extension of aldehydes to functionalized olefins and their application to the synthesis of cannabinolic acid methyl ester are presented.