Richard Borcherds: The Monster Group and Monstrous Moonshine
1 tim 41 min•17 mars 2021
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Richard Borcherds, a Fields Medalist, talks about the Monster Group, its links to string theory, and his self‑study path in mathematics. He also dives into creativity, learning strategies, free will, consciousness, and the simulation hypothesis.
0:00 Introduction
2:35 How Richard got interested in math
3:42 Math vs physics unification
4:38 Daily ritual (or non‑ritual)
5:19 Time spent working / studying
7:22 Creativity old vs young
8:30 Greatest strength: obstinacy
8:58 Working in isolation: strength or weakness?
10:48 Starting math in 20s, 30s, 40s
11:45 Choosing a problem you care about
12:41 Dealing with non‑creativity / writer’s block
14:40 Depression as a scientist
15:24 IQ and nootropics
17:02 Creative process
18:33 Thinking style: pictorial, algebraic, etc.
21:11 Not following “deep work”
22:00 Reading non‑scientific books
22:48 Audience: view on Jordan Peterson
23:31 Audience: experience of madness in isolation
23:56 Audience: diet / fasting
24:37 Learning new mathematics
25:42 Solving problems by ignoring them
26:51 Advice for 20s learning math outside field
28:03 Dislike of infinity categories
28:44 Memorizing proofs/theorems?
29:53 Happiness and meaning: math vs life
30:40 Life without math
31:32 Winning the Fields Medal
32:19 What makes math meaningful?
33:10 Discovered vs invented
34:35 Why the Monster Group matters
37:18 “Quantum Field Theory gives me a headache.”
39:21 Free will?
41:17 God, simulation hypothesis, many worlds
44:53 Hard problem of consciousness
46:28 Favorite mathematicians
48:22 “Ed Witten is terrifying”
49:05 Monster Group and physics
52:55 Contributing to math as outsider
55:44 Many Worlds again
56:15 Is set theory too unwieldy?
1:00:03 Pluralism in math foundations
1:02:48 Intuitionist / finitisim / computational logic?
1:04:29 Can 40‑year‑olds learn advanced math?
1:05:20 Unreasonable effectiveness of math
1:06:19 Why some don’t understand math?
1:08:09 On Ramanujan
1:10:45 Number theory lectures & QFT difficulty
1:14:56 Learning styles & philosophy of math
1:17:48 Knowing progress on a solution
1:19:11 Langlands program
1:21:45 Knowing what to learn when unaware
1:24:02 Learning math & physics from YouTube
1:29:46 Goldbach's conjecture
1:31:53 Nervousness, anxiety, group theory, chit‑chat
1:38:49 “Secret” math techniques
1:39:56 Why modular forms are mesmeric
1:41:50 Rebuttal: discovered vs invented
SPONSORS:
- Patreon: https://patreon.com/curtjaimungal
- PayPal: https://bit.ly/2EOR0M4
- Twitter: https://twitter.com/TOEwithCurt
- iTunes: https://podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802
- Pandora: https://pdora.co/33b9lfP
RESOURCES:
- YouTube link: https://youtu.be/xu15ZbxxnUQ
- Richard Borcherd's YouTube: https://www.youtube.com/channel/UCIyDqfi_cbkp-RU20aBF-MQ
0:00 Introduction
2:35 How Richard got interested in math
3:42 Math vs physics unification
4:38 Daily ritual (or non‑ritual)
5:19 Time spent working / studying
7:22 Creativity old vs young
8:30 Greatest strength: obstinacy
8:58 Working in isolation: strength or weakness?
10:48 Starting math in 20s, 30s, 40s
11:45 Choosing a problem you care about
12:41 Dealing with non‑creativity / writer’s block
14:40 Depression as a scientist
15:24 IQ and nootropics
17:02 Creative process
18:33 Thinking style: pictorial, algebraic, etc.
21:11 Not following “deep work”
22:00 Reading non‑scientific books
22:48 Audience: view on Jordan Peterson
23:31 Audience: experience of madness in isolation
23:56 Audience: diet / fasting
24:37 Learning new mathematics
25:42 Solving problems by ignoring them
26:51 Advice for 20s learning math outside field
28:03 Dislike of infinity categories
28:44 Memorizing proofs/theorems?
29:53 Happiness and meaning: math vs life
30:40 Life without math
31:32 Winning the Fields Medal
32:19 What makes math meaningful?
33:10 Discovered vs invented
34:35 Why the Monster Group matters
37:18 “Quantum Field Theory gives me a headache.”
39:21 Free will?
41:17 God, simulation hypothesis, many worlds
44:53 Hard problem of consciousness
46:28 Favorite mathematicians
48:22 “Ed Witten is terrifying”
49:05 Monster Group and physics
52:55 Contributing to math as outsider
55:44 Many Worlds again
56:15 Is set theory too unwieldy?
1:00:03 Pluralism in math foundations
1:02:48 Intuitionist / finitisim / computational logic?
1:04:29 Can 40‑year‑olds learn advanced math?
1:05:20 Unreasonable effectiveness of math
1:06:19 Why some don’t understand math?
1:08:09 On Ramanujan
1:10:45 Number theory lectures & QFT difficulty
1:14:56 Learning styles & philosophy of math
1:17:48 Knowing progress on a solution
1:19:11 Langlands program
1:21:45 Knowing what to learn when unaware
1:24:02 Learning math & physics from YouTube
1:29:46 Goldbach's conjecture
1:31:53 Nervousness, anxiety, group theory, chit‑chat
1:38:49 “Secret” math techniques
1:39:56 Why modular forms are mesmeric
1:41:50 Rebuttal: discovered vs invented
SPONSORS:
- Patreon: https://patreon.com/curtjaimungal
- PayPal: https://bit.ly/2EOR0M4
- Twitter: https://twitter.com/TOEwithCurt
- iTunes: https://podcasts.apple.com/ca/podcast/better-left-unsaid-with-curt-jaimungal/id1521758802
- Pandora: https://pdora.co/33b9lfP
RESOURCES:
- YouTube link: https://youtu.be/xu15ZbxxnUQ
- Richard Borcherd's YouTube: https://www.youtube.com/channel/UCIyDqfi_cbkp-RU20aBF-MQ
Theories of Everything with Curt Jaimungal features long-form, technically detailed interviews with leading researchers in physics, mathematics, consciousness, and philosophy, exploring topics at the level of active research. For academics, graduate students, and anyone seeking depth beyond popular science.
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