Rocio Montoya
OVER the course of one week in 2018, Lisa Piccirillo cracked a mathematical problem that had gone unsolved for half a century. Posed by legendary mathematician John Conway in 1970, it concerns a complex geometrical object known as the Conway knot. While an ordinary overhand knot – the kind you would tie at the end of a thread – sees the string cross over itself three times, the Conway knot has 11 crossings. What Conway wanted to know is whether his knot can be formed by cutting a slice out of a more complex four-dimensional knot – or, as mathematicians put it, is it “slice”?
Piccirillo discovered that it isn’t. Her breakthrough came after finding a back door into the problem that could help mathematicians understand other four-dimensional objects. Currently a post-doctoral mathematician at Brandeis University in Waltham, Massachusetts, solving the Conway knot – along with her other research – has seen her offered a tenure-track position at the Massachusetts Institute of Technology. Â鶹´«Ã½ spoke to her about the week she spent on the problem, her approach to mathematics and why it is time we stopped talking about geniuses.
Chelsea Whyte: How did you first become interested in mathematics?
Lisa Piccirillo: As a kid, I always liked maths and I was good at it in school. I’m from quite a rural area in Maine, and people said “if you like maths, you can become an engineer”. So I thought that’s what you do with maths, become an engineer. I went to a lot of day camps for engineering and made a lot of bridges out of popsicle sticks, and found out that I didn’t…
