From what the story seems to say, this construction was the main insight to completing the proof. So why not make the article an opportunity to talk more about similar constructions? (and give easier examples?)
All the article says is: <<Constructing trace siblings is a tricky business, but Piccirillo was an expert. “That’s just, like, a trade I’m in,” she said. “So I just went home and did it.”>> It could help to read all references and backtrack, but with trades come trade secrets. Not only that, Piccirillo must have some sort of special perspective, which isn't easily available to the public. Another question is: what does Piccirillo teach to students whom she is interested in attracting to her research group? The answer to this question could lead to a better article for the general public to read. --Brad On Sat, May 23, 2020 at 10:27 PM Allan Wechsler <acwacw@gmail.com> wrote:
I was mostly admiring the structure of the "trace sibling" she constructed