The research goals of the Quantitative Biology Institute (QBio) are: (i) To use advanced mathematical and physical approaches to solve biological problems involving emergence in molecular, cellular and developmental systems. By emergence we mean the creation of higher-order structure, organization and function from simpler components and their interactions. (ii) To discover new mathematics and physics through inspiration from biological data, mechanisms and functions. (iii) To establish a dialog between mathematical and physical theory, on the one hand, and biological experimental results, on the other, to rigorously test hypotheses and models of complex biological systems.