When I was a physics major in the late 1970s, my very few fellow female students and I had high hopes that women would soon stand equal with men in science. But progress has proved slower than many of us imagined.

When you're in a room with twenty people who've all got the True Theory of the universe, it's difficult to know what to do. And the paradox is that so much important science is now being done by huge teams. With Higgs boson, for example, it's estimated there were around ten thousand scientists and engineers involved in building the machines that made this discovery possible.

It turns out that hyperbolic structures are very common in nature, and the place where lots of people encounter them is coral reefs. Sea slugs, and a lot of other organisms with frilly forms, are biological manifestations of hyperbolic geometry, which is also found in the structure of lettuce leaves and kales, and some species of cactus.

I don't know of any science writing going on in women's magazines, unless you count medical stories about things like breast cancer. I still think there's a huge problem about how we can actively engage a wider range of women. I'm not saying women must be a separate audience - I'm just responding to the reality that the majority of people who do read science magazines are male. That's not a value judgment; it's a statistical fact.

One way to think about a pure hyperbolic surface is that it's the geometric opposite of a sphere. If you look at a sphere, the curvature is the same everywhere, as opposed to, say, an egg, which clearly does not curve the same everywhere. This is what makes spheres geometrically important. Mathematically speaking, a sphere has positive curvature and a hyperbolic surface has negative curvature, but both have constant curvature everywhere.

Mathematicians are proud of the fact that, generally, they do their work with a piece of chalk and a blackboard. They value hand-done proofs above all else. A big question in mathematics today is whether or not computational proofs are legitimate. Some mathematicians won't accept computational proofs and insist that a real proof must be done by the human hand and mind, using equations.

When I was a physics major in the late 1970s, my very few fellow female students and I had high hopes that women would soon stand equal with men in science. But progress has proved slower than many of us imagined.