integrable

The Abel Prize cited “her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

Uhlenbeck, who is seventy-six and an emeritus professor at the University of Texas at Austin, has done revolutionary work across several disciplines; indeed, the academy lauded “her pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

The academy cited her “pioneering achievements in geometric partial differential equations, gauge theory and integrable systems, and for the fundamental impact of her work on analysis, geometry and mathematical physics.”

She was honoured for “pioneering achievements in geometric partial differential equations, gauge theory and integrable systems and for the fundamental impact of her work on analysis, geometry and mathematical physics”, which sounds wildly impressive, if difficult to grasp.

Around that time, she took up research in integrable systems, which model certain kinds of physical phenomena such as shallow water waves.