How light would I have to be to walk on water?

The surface tension of room-temperature water is around 72.7 * 10^(-3) N/m, or 7.42 grams-force/m.

The force supporting you on the water will be roughly the surface tension times the circumference of your "footprint" on the water. You can weigh 74.2 milligrams for every centimeter of that circumference. The bigger your "footprint" the better.

Richard Mason