Lawlor proves equal-volume triple bubble conjecture.

In a talk at Columbia University today (April 15, 2022), Gary Lawlor announced and described his proof that the standard triple soap bubble in R^3 is the least-perimeter way to enclose and separate three equal volumes.

Update 5/19/22: Milman and Neeman post proof of general triple and quadruple bubble conjectures in R^n and S^n See my review at and the beautiful Quanta article by Erica Klarreich.

Update 7/18/23: Milman and Neeman post proof of quintuple bubble conjecture as promised

One Comment

  1. Rob Kusner:

    A masterful talk in which Gary introduces basic, beautiful new slicing methods – I hope a recording will be posted!