Geometry is a subject as old as human thought. When properly studied, its truths are universal and eternal, as evidenced by Euclid’s famous text surviving intact over millennia and still being taught in high schools today. However, we have progressed quite far from Euclid’s beautiful starting point. Indeed, today geometry influences all areas of science and mathematics, from worlds as small as a single cell to the structure of the entire universe itself.

UC Irvine mathematicians stand at the forefront of research in geometry and topology, making fundamental contributions to deepen our understanding of this crucial subject and its applications throughout science and mathematics. Their research sheds light on the structure of soap films and other fluids, reveals the shape of black holes, and unlocks the mathematical mysteries behind string theory. This research stands to contribute to new developments in biology, physics, and beyond.