Richard Borcherds: The Monster Group and Monstrous Moonshine

Richard Borcherds: The Monster Group and Monstrous Moonshine

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.- 00:00:00 - Introduction- 00:02:35 - How Richard got interested in math- 00:03:42 - Math vs physics unification- 00:04:38 - Daily ritual (or non‑ritual)- 00:05:19 - Time spent working / studying- 00:07:22 - Creativity old vs young- 00:08:30 - Greatest strength: obstinacy- 00:08:58 - Working in isolation: strength or weakness?- 00:10:48 - Starting math in 20s, 30s, 40s- 00:11:45 - Choosing a problem you care about- 00:12:41 - Dealing with non‑creativity / writer’s block- 00:14:40 - Depression as a scientist- 00:15:24 - IQ and nootropics- 00:17:02 - Creative process- 00:18:33 - Thinking style: pictorial, algebraic, etc.- 00:21:11 - Not following “deep work”- 00:22:00 - Reading non‑scientific books- 00:22:48 - Audience: view on Jordan Peterson- 00:23:31 - Audience: experience of madness in isolation- 00:23:56 - Audience: diet / fasting- 00:24:37 - Learning new mathematics- 00:25:42 - Solving problems by ignoring them- 00:26:51 - Advice for 20s learning math outside field- 00:28:03 - Dislike of infinity categories- 00:28:44 - Memorizing proofs/theorems?- 00:29:53 - Happiness and meaning: math vs life- 00:30:40 - Life without math- 00:31:32 - Winning the Fields Medal- 00:32:19 - What makes math meaningful?- 00:33:10 - Discovered vs invented- 00:34:35 - Why the Monster Group matters- 00:37:18 - “Quantum Field Theory gives me a headache.”- 00:39:21 - Free will?- 00:41:17 - God, simulation hypothesis, many worlds- 00:44:53 - Hard problem of consciousness- 00:46:28 - Favorite mathematicians- 00:48:22 - “Ed Witten is terrifying”- 00:49:05 - Monster Group and physics- 00:52:55 - Contributing to math as outsider- 00:55:44 - Many Worlds again- 00:56:15 - Is set theory too unwieldy?- 01:00:03 - Pluralism in math foundations- 01:02:48 - Intuitionist / finitisim / computational logic?- 01:04:29 - Can 40‑year‑olds learn advanced math?- 01:05:20 - Unreasonable effectiveness of math- 01:06:19 - Why some don’t understand math?- 01:08:09 - On Ramanujan- 01:10:45 - Number theory lectures & QFT difficulty- 01:14:56 - Learning styles & philosophy of math- 01:17:48 - Knowing progress on a solution- 01:19:11 - Langlands program- 01:21:45 - Knowing what to learn when unaware- 01:24:02 - Learning math & physics from YouTube- 01:29:46 - Goldbach's conjecture- 01:31:53 - Nervousness, anxiety, group theory, chit‑chat- 01:38:49 - “Secret” math techniques- 01:39:56 - Why modular forms are mesmeric- 01:41:50 - Rebuttal: discovered vs inventedSPONSORS:- 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/33b9lfPRESOURCES:- 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. FOLLOW: Substack | Spotify | YouTube | Twitter Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices

Avsnitt(340)

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner: Quantum Mechanics Contains Its Own Contradictions

Renato Renner (ETH Zurich) proves quantum mechanics contains logical contradictions that undermine its foundations.Quantum theory may be the most successful theory in history — and Renato Renner has p...

30 Mars 3h 26min

Jenny Wagner: What If We've Been Wrong About Dark Matter For Decades?

Jenny Wagner: What If We've Been Wrong About Dark Matter For Decades?

Jenny Wagner examines the inverse problem: how to map dark matter without assuming what it is.What if 85% of the universe's matter isn't missing — it's just that our models were never clean enough to ...

26 Mars 2h 38min

Curt Jaimungal: Why Write?

Curt Jaimungal: Why Write?

Curt Jaimungal argues writing reveals something deeper than output—what LLMs expose about human purpose.Curt Jaimungal argues that in an age where LLMs can produce beautiful prose on demand, we've dis...

19 Mars 6min

JB Manchak: Time Travel in Physics and What We Still Don't Know

JB Manchak: Time Travel in Physics and What We Still Don't Know

Curt Jaimungal examines why physicists still can't resolve whether time travel is possible or forbidden.What if you gathered every possible piece of evidence about the universe — every observation, pa...

16 Mars 2h 17min

Curt Jaimungal: General Relativity Is NOT Deterministic (Here's the Proof)

Curt Jaimungal: General Relativity Is NOT Deterministic (Here's the Proof)

Many people think physics / reality is either guided by a probabilistic distribution or is “determined.” Actually, there’s a third, far‐more unsettling option. Curt Jaimungal explains why Einstein’s g...

12 Mars 21min

John Donoghue: We Have Already Quantized Gravity (And It Works)

John Donoghue: We Have Already Quantized Gravity (And It Works)

Professor John Donoghue explains why quantum physics and gravity actually work perfectly together. He tackles quadratic gravity, effective field theory, and random dynamics, arguing that grand unifica...

11 Mars 1h 6min

Nir Lahav: A Relativistic Theory of Consciousness from Spacetime

Nir Lahav: A Relativistic Theory of Consciousness from Spacetime

A physicist proposes a relativistic theory of consciousness based on spacetime geometry and information.Physicist Nir Lahav joins me to argue that the hard problem isn't hard so much as confused—a con...

5 Mars 3h 8min

Curt Jaimungal: Why Neil deGrasse Tyson Gets "Belief" Wrong

Curt Jaimungal: Why Neil deGrasse Tyson Gets "Belief" Wrong

Curt Jaimungal argues that astrophysicists like Neil deGrasse Tyson and spiritual gurus Deepak Chopra and Thomas Campbell can’t logically claim they don’t hold beliefs. This “Theories of Everything” w...

2 Mars 16min

Populärt inom Vetenskap

p3-dystopia
dumma-manniskor
svd-nyhetsartiklar
allt-du-velat-veta
kapitalet-en-podd-om-ekonomi
det-morka-psyket
doden-hjarnan-kemisten
sexet
rss-ufo-bortom-rimligt-tvivel-2
rss-vetenskapsradion-2
rss-vetenskapsradion
bildningspodden
paranormalt-med-caroline-giertz
medicinvetarna
dumforklarat
har-vi-akt-till-mars-an
rss-spraket
vetenskapsradion
halsorevolutionen
hacka-livet