02:33 Beginnings, Aptitude, "socially maladjusted" 03:40 Putnam, Math. as problem-solving 04:10 First paper (at 18 yo) 06:10 John Nash, Princeton 07:45 games: Kriegspiel, Go, Nash 09:25 game theory 10:35 knot theory, Papakyriakopoulos 15:45 manifolds 17:55 dim. 7 manifolds 20:35 collaboration with Serre, Thom 22:25 dim. 4 being very difficult 24:15 terminology, labelling 26:15 the Hauptvermutung 28:40 thinking geometrically, visualisation 29:50 thinking algebraically, quadratic forms (Serre's exposition helped), K-theory 32:25 the Milnor conjecture (Voevodsky proved) 33:10 algebraic K-theory 35:10 groups of intermediate growth (Grigorchuk) 38:05 real and complex dynamics, Thurston 40:00 Kneading theory 43:20 computers in math.; experimental math. 47:40 writing textbooks, exposition 48:27 convince oneself of understanding by writing it down so one can understand it 48:50 mathematical writing, history of math. 50:15 impressionable mathematicians 51:20 aha moments 52:40 modern influences on math. 54:25 value of many working independently 55:40 the value of mathematics 56:25 other interests
What a surprise! I didn't expect to see him on UA-cam. He is one of those mathematicians who made my ever lasting love to mathematics. How he found math community home, how he found that 7-dimensional spheres. Full of precious episodes. Thank you for uploading.
02:33 Beginnings, Aptitude, "socially maladjusted"
03:40 Putnam, Math. as problem-solving
04:10 First paper (at 18 yo)
06:10 John Nash, Princeton
07:45 games: Kriegspiel, Go, Nash
09:25 game theory
10:35 knot theory, Papakyriakopoulos
15:45 manifolds
17:55 dim. 7 manifolds
20:35 collaboration with Serre, Thom
22:25 dim. 4 being very difficult
24:15 terminology, labelling
26:15 the Hauptvermutung
28:40 thinking geometrically, visualisation
29:50 thinking algebraically, quadratic forms (Serre's exposition helped), K-theory
32:25 the Milnor conjecture (Voevodsky proved)
33:10 algebraic K-theory
35:10 groups of intermediate growth (Grigorchuk)
38:05 real and complex dynamics, Thurston
40:00 Kneading theory
43:20 computers in math.; experimental math.
47:40 writing textbooks, exposition
48:27 convince oneself of understanding by writing it down so one can understand it
48:50 mathematical writing, history of math.
50:15 impressionable mathematicians
51:20 aha moments
52:40 modern influences on math.
54:25 value of many working independently
55:40 the value of mathematics
56:25 other interests
Thanks
Very nice interview with John Milnor. A wonderful mathematician and a very nice person.
What a surprise! I didn't expect to see him on UA-cam. He is one of those mathematicians who made my ever lasting love to mathematics. How he found math community home, how he found that 7-dimensional spheres. Full of precious episodes. Thank you for uploading.