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" "You can Google my name, and ... There are lots of videos that they put out online... and you can watch these. However, even that is only a substitute. There's nothing that replaces your own touch. Trying things yourself, and indeed noticing curiosities in nature itself.
(Japanese: 時枝正; born 1968) is a Japanese mathematician, working in mathematical physics. He is a professor of mathematics at Stanford University; previously he was a fellow and Director of Studies of Mathematics at Trinity Hall, Cambridge. He is also very active in inventing, collecting, and studying toys that uniquely reveal and explore real-world surprises of mathematics and physics. In comparison with most mathematicians, he had an unusual path in life: he started as a painter, and then became a classical philologist, before switching to mathematics.
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[E]very human life... is unique, especially seen from the inside. ...You might look like the boring doldrums and the standard... path to somebody else, but for each individual... that person is living only once, and unique experiences... are not... replaceable by anything else... I'm not sure that my experience is qualitatively different from other people's... [P]eople struggle through various difficulties and have moments of joy and... discovery and sometimes... get fed up and... want to leave... [T]hen sometimes they come back and so on... I don't think that it's that different. ...People should realize that their experience is unique and it's interesting, if you make it interesting. ...[I]f you decide that, "Oh, I'm a boring person..." of course you become, , a boring person... [O]ther people will not help you out. They'll say you're boring, but... you live only once, and... I'm sure there's lot's going on in your brain that the rest of the world cannot see, naturally... [Y]ou should cherish it...
It's possible to argue... [T]here are wonderful musicians, let's talk about... western classical music... nowadays... but... compared with the time of Bach, Mozart and Beethoven, composition in classical music has gone down. ...It's possible to argue that the concept and the belief in genius killed classical music composition. It's extremely... discouraging to be told, "You shouldn't compose unless you can be Beethoven." ...[T]he concept of the genius is an invention of the... German idealistic philosophers. People didn't talk about genius before, and people... simply didn't have the concept and it wasn't part of people's thinking. ...[L]ook at ...Italian Baroque composers... They didn't care about talent or genius but they're creating wonderful music... just on the spot. ...[T]hey didn't have to be tragic. They don't have to have a dramatic life. ...You just do it because you like it, and the same with mathematics.
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Draw pictures, draw pictures! As a guideline, when I do research in any area (fluid mechanics, geometry, dynamical systems, topology, combinatorics, representation theory), I always draw pictures when I'm doing research. I'm drawing one picture every few minutes, so by the end of the day, after maybe six or seven hours, I have maybe 30, 40 pictures, if not more. So in a week that's hundreds. You should be drawing lots and lots of pictures, trying lots of pictures. Some of these pictures can be in your head, but you should start by drawing lots of real pictures, on paper. But not a few pictures. Not tens of pictures. Hundreds of pictures, please, hundreds. Because that's how we can, eventually, listen to Mozart's music - in mathematics!