This three-year, $354,239 National Science Foundation project grant supports theoretical research at Purdue University to advance understanding of universal few-body quantum systems and interactions. Specifically, the Mathematical and Physical Sciences grant will develop quantitative descriptions of three to five particle systems, such as atoms, molecules, nucleons or quarks, to extract new insights into universal behavior and predict phenomena. The effort will apply computational methods like the adiabatic hyperspherical representation to numerically solve quantum mechanical equations for these challenging problems. It will also address complexity across the full parameter space of ultracold few-body systems with and without electromagnetic fields. Findings have the potential to provide qualitative insights and yield predictions applicable to related subfields like atomic, molecular, optical, condensed matter, nuclear and chemical physics.