For ten years, I wrote regular columns about science for women's magazines, and to my knowledge I'm the only person in the world who can say that. This has no kudos in either the science-writing world or the academic world, but it's one of the most challenging things I've ever done. It's much harder to write about cosmology for a magazine like Vogue than for the New York Times, which I've also written for, because you have to imagine that on the page opposite there'll be an advertisement for eyeliner, or an article about the latest trends in skirt length.

Wave particle duality is a core feature of our world. Or rather, we should say, it is a core feature of our mathematical descriptions of our world. But what is critical to note here is that, however ambiguous our images, the universe itself remains whole and is manifestly not fracturing into schizophrenic shards. It is this tantalizing wholeness and the thing itself that drives physicists onward like an eternally beckoning light that seems so teasingly near. It is always out of reach.

As a child it was clear to me that in some sense math was in the world around us. I became fascinated by what this means. When you look at the shape of the sun and the moon, they're circles, so every time you see a circular thing, there's pi embedded in it.

Computers are very powerful tools, but in the simulated world of the computer, everything has to be calculated.

Simple DNA gradually morphed and evolved, so that you had the coming into being of ever more complex and diverse creatures, until one day you wake up and find there are peacocks and giraffes. Nature is an open-ended experiment based on morphing a DNA code, and ours is an open-ended experiment based on morphing a crochet code.

For ten years, I wrote regular columns about science for women's magazines, and to my knowledge I'm the only person in the world who can say that. This has no kudos in either the science-writing world or the academic world, but it's one of the most challenging things I've ever done. It's much harder to write about cosmology for a magazine like Vogue than for the New York Times, which I've also written for, because you have to imagine that on the page opposite there'll be an advertisement for eyeliner, or an article about the latest trends in skirt length.

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.