Quanta Magazine on the telescope conjecture: www.quantamagazine.org/an-old-conje... Or, as I like to call it, the “telescopes are not kaleidoscopes” theorem. It’s an exciting time to be a homotopy theorist!

An Old Conjecture Falls, Making Spheres a Lot More Complicated | Quanta Magazine

The telescope conjecture gave mathematicians a handle on ways to map one sphere to another. Now that it has been disproved, the universe of shapes has exploded.