How do mathematicians reveal patterns in structures too complex to see directly? That is at the heart of the work of 2026 Wolf Prize in Mathematics Laureates David Kazhdan and Joseph Bernstein. Their discoveries helped build what is now known as geometric representation theory — a field that connects algebra, geometry and symmetry in powerful new ways. Kazhdan’s work introduced new tools for understanding groups and symmetry, including the influential Kazhdan–Lusztig theory. Bernstein developed ideas such as D-modules and helped create mathematical frameworks that linked representation theory with geometry in entirely new ways. The result is a mathematical language that allows researchers to move between different fields and uncover relationships that were previously hidden. Watch the video for a clear visual introduction to their breakthrough — and see how abstract mathematics can connect geometry, algebra and symmetry in surprisingly elegant ways.