In a 2021 paper on operadic tensor products, Hill and Lawson introduced a new spectral sequence converging to the stable homotopy groups of spheres. It may be useful for studying the telescope conjecture.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/11136