1 00:00:00,500 --> 00:00:03,480 PROFESSOR: Well, I think-- 2 00:00:03,480 --> 00:00:05,770 I don't know if it was in the womb or shortly after, 3 00:00:05,770 --> 00:00:07,020 but it was very-- 4 00:00:07,020 --> 00:00:10,110 I can't remember ever not being interested in mathematics. 5 00:00:10,110 --> 00:00:13,530 Having said that, you know, growing up, 6 00:00:13,530 --> 00:00:16,410 I was pretty convinced I was going to be an astrophysicist 7 00:00:16,410 --> 00:00:21,870 or exploring strange new worlds and other-- boldly going 8 00:00:21,870 --> 00:00:23,070 where no one dared to go. 9 00:00:23,070 --> 00:00:25,950 I certainly didn't envision myself being happy 10 00:00:25,950 --> 00:00:28,380 as a clam just hunkering down in a research institution 11 00:00:28,380 --> 00:00:31,110 and thinking about math. 12 00:00:31,110 --> 00:00:35,220 I'd say what got me more interested, as time went on, 13 00:00:35,220 --> 00:00:40,160 was just the realization-- 14 00:00:40,160 --> 00:00:41,260 I think that there is-- 15 00:00:41,260 --> 00:00:45,520 in some sense, that there's an unknown world out there just 16 00:00:45,520 --> 00:00:49,329 waiting to be discovered, and I think a lot of-- it's easy-- 17 00:00:49,329 --> 00:00:51,370 I felt this growing up, and I think a lot of kids 18 00:00:51,370 --> 00:00:54,105 have this feeling that sort of like all the good discoveries 19 00:00:54,105 --> 00:00:54,730 have been made. 20 00:00:54,730 --> 00:00:56,590 You know, there's no unknown regions on earth. 21 00:00:56,590 --> 00:00:58,000 There's no deepest, darkest place 22 00:00:58,000 --> 00:00:59,530 you can go to explore that no one's ever been to. 23 00:00:59,530 --> 00:01:00,779 Every mountain's been climbed. 24 00:01:00,779 --> 00:01:03,650 You have sort of the sense that the world is known. 25 00:01:03,650 --> 00:01:06,250 The state of knowledge is known, but in mathematics 26 00:01:06,250 --> 00:01:07,180 that's totally untrue. 27 00:01:07,180 --> 00:01:08,764 There's tons of problems out there 28 00:01:08,764 --> 00:01:10,930 that no one's even touched, and there's new problems 29 00:01:10,930 --> 00:01:12,460 being discovered every day. 30 00:01:12,460 --> 00:01:15,570 So you never run out of space to explore.