'intersect on' is correct and usable in written English.
It can be used to mean when two or more things come together, overlap, or meet at a point. For example, "The scholars and activists intersect on the importance of environmental conservation."
The story involves a British woman and a Nigerian girl whose lives intersect on an African beach.
People from different universes intersect on the subways and on the sidewalks, but they are on the move.
They bend, curve and intersect on the page like elaborate stained-glass windows, while the delicate watercolour artwork creates an almost impressionistic feel.
He cast French star Juliette Binoche in Code inconnu (2000; Code Unknown), which episodically traces the fates of several lives that intersect on a multicultural Parisian street corner.
THE worlds of electioneering and catering will again intersect on Tuesday, as candidates await the public's verdicts in settings of their choosing.
Dowling Street and Emancipation Park may intersect on the map, but a wide gap separates the memories and meanings behind them.
Men were guiding traffic in the area and by the roundabout itself (somehow cars were still able to creep along a road that intersected on one side).
Those two themes, gathering momentum over the past month, intersected on a balmy evening at Shea Stadium.
Dr. Irwin and Mr. Gordon have also apparently intersected on other business transactions as well.
In 1879 two new railways intersected on the prairie, and around this random "X" the town of Hastings was born.
Real has the world's most eye-catching lineup, and recently, great expectations and reality have been routinely intersecting on the field.
