This research project aims to uncover the biophysical principles that enable mammalian embryonic stem cells to self-organize into synthetic organoid structures reminiscent of mouse embryos. Our approach blends mathematical modeling with precise single-cell measurements to investigate the emergence of positional and correlative information within differentiating stem-cell aggregates. By integrating theoretical predictions with experimental data, the project will compare dynamic information flow across various developmental systems, such as fly embryos and stem-cell-derived organoids. This interdisciplinary effort not only bridges quantitative and life sciences but also offers students a collaborative environment where they can take ownership of their research and help define the project’s direction.