Michael Atiyah: Difference between revisions

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|nameurl=https://x.com/EricRWeinstein/status/1084114873376591874
|nameurl=https://x.com/EricRWeinstein/status/1084114873376591874
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=One of the world’s greatest men has died. Most of you will have no idea who this is. I just don’t know how to bridge that gap yet to tell you what he did.
|content=One of the world’s greatest men has died. Most of you will have no idea who this is. I just don’t know how to bridge that gap yet to tell you what he did.


I was very close with his top collaborator. They were the [[Jim Watson|Watson]] and Crick of mathematics to me. They rewrote my whole life.
I was very close with his top collaborator. They were the [[Jim Watson|Watson]] and [[Francis Crick|Crick]] of mathematics to me. They rewrote my whole life.
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{{Tweet
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|usernameurl=https://x.com/royalsociety
|usernameurl=https://x.com/royalsociety
|username=royalsociety
|username=royalsociety
|content=[[Michael Atiyah]] OM FRS, President of the Royal Society 1990 -1995, died today. He was "a wonderful person who was a true internationalist and a fervent supporter for investing in talent – themes which resonate very clearly today." Read the full tribute https://royalsociety.org/news/2019/01/tribute-to-former-president-of-the-royal-society-sir-michael-atiyah/
|content=[[Michael Atiyah|Michael Atiyah OM FRS]], President of the Royal Society 1990 -1995, died today. He was "a wonderful person who was a true internationalist and a fervent supporter for investing in talent – themes which resonate very clearly today." Read the full tribute https://royalsociety.org/news/2019/01/tribute-to-former-president-of-the-royal-society-sir-michael-atiyah/
|media1=royalsociety-X-post-1083772505934970881-DwpTCTzW0AEJifI.jpg
|media1=royalsociety-X-post-1083772505934970881-DwpTCTzW0AEJifI.jpg
|timestamp=3:48 PM · Jan 12, 2019
|timestamp=3:48 PM · Jan 12, 2019
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|nameurl=https://x.com/EricRWeinstein/status/1084127025521033226
|nameurl=https://x.com/EricRWeinstein/status/1084127025521033226
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=There is a little known stone wall on Long Island. While flawed, it is a gift to all mankind that should be a pilgrimage site, as an understanding of the contents is nesessary to understand our world. Think of it as transcendent graffiti. Atiyah‘s spray-paint is everywhere here.
|content=There is a little known stone wall on Long Island. While flawed, it is a gift to all mankind that should be a pilgrimage site, as an understanding of the contents is nesessary to understand our world. Think of it as transcendent graffiti. [[Michael Atiyah|Atiyah‘s]] spray-paint is everywhere here.
|timestamp=4:36 PM · Jan 12, 2019
|timestamp=4:36 PM · Jan 12, 2019
|media1=ERW-X-post-1084127025521033226-DwuXvoOUUAA_X-J.jpg
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|nameurl=https://x.com/EricRWeinstein/status/1084132802721804288
|nameurl=https://x.com/EricRWeinstein/status/1084132802721804288
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=Imagine watery planets with holes and twists. Knotted donut planets  called base spaces. Crazy oceans called “Vector bundles” and “Principal bundles”.
|content=Imagine watery planets with holes and twists. Knotted donut planets  called base spaces. Crazy oceans called “Vector bundles” and “Principal bundles”.


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|nameurl=https://x.com/EricRWeinstein/status/1084133772033810437
|nameurl=https://x.com/EricRWeinstein/status/1084133772033810437
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=He helped direct [[Ed Witten]] and Graeme Segal to truly tell us what [[Quantum Field Theory]] really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.
|content=He helped direct [[Ed Witten]] and Graeme Segal to truly tell us what [[Quantum Field Theory]] really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.
|timestamp=5:03 PM · Jan 12, 2019
|timestamp=5:03 PM · Jan 12, 2019
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|nameurl=https://x.com/EricRWeinstein/status/1084134696127160321
|nameurl=https://x.com/EricRWeinstein/status/1084134696127160321
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.
|content=If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.
|timestamp=5:07 PM · Jan 12, 2019
|timestamp=5:07 PM · Jan 12, 2019
}}
{{Tweet
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|nameurl=https://x.com/MathPrinceps/status/1084127799437230080
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=I completely agree with your assessment of the magnitude of the world's loss here.  But who, in your view, was [[Michael Atiyah|Atiyah's]] "top collaborator"? Bott, perhaps? Singer? Someone else? He shared credit with a large number of co-workers in his published work. (I'd vote for Bott, myself.)
|timestamp=4:39 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084129282887045121
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=@MathPrinceps I knew [[Raoul Bott|Bott]] and [[Isadore Singer|Singer]] very well, but it was still not even close to me. I won’t say more here just now. You will also notice that Bott and Singer never collaborated despite being one zip code away from each other in Massachusetts Ave in Cambridge MA. Towering giants all.
|timestamp=4:45 PM · Jan 12, 2019
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{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084129513133432832
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=I knew Bott and Singer pretty well myself, and I agree that it's not even close.
|timestamp=4:39 PM · Jan 12, 2019
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{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084135908989784064
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=What a lunch we could have. Would love to hear your perspective.
|timestamp=5:11 PM · Jan 12, 2019
}}
{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084136705089712128
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=They were such extraordinary persons, and their influence on me was exceeded only by that of Chern. I miss them all more than I can say. And perhaps we should indeed have lunch. Pretty sure we'd both enjoy it.
|timestamp=5:15 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084139307034542080
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=Are you anywhere near SF? I gotta hear your argument for [[Michael Atiyah|Atiyah]] [[Raoul Bott|Bott]]. The main flaw on that wall IMO is the absence of [[Raoul Bott|Bott Periodicity]]. Other issues: Tits Freudenthal, the main Elliptic Deformation Complexes,  Hopf Fibration, etc..
But Bott Periodicity is beyond mind blowing.
|timestamp=5:25 PM · Jan 12, 2019
}}
{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084140379195113472
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=Yes, I reside in Mountain View, and get up to SF with some frequency. And I don't mean to make an argument for Atiyah-Bott, exactly; it's more of a feeling, born mostly of personal observation, that Atiyah-Bott had a much deeper aesthetic affinity than did Atiyah-Singer (say.)
|timestamp=5:29 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084129583610253313
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=@BraneRunner @MathPrinceps Some would put it higher.
|timestamp=4:46 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084133772033810437
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=He helped direct [[Ed Witten]] and Graeme Segal to truly tell us what [[Quantum Field Theory]] really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.
|timestamp=5:03 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084134696127160321
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.
|timestamp=5:07 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084139921558855685
|name=Eric Weinstein
|usernameurl=https://x.com/ericweinstein
|username=ericweinstein
|content=@vanest SUNY Stony Brook, Simons Center for Geometry and Physics. It’s blocked partially by a staircase now.
|timestamp=5:27 PM · Jan 12, 2019
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|nameurl=https://x.com/EricRWeinstein/status/1084146455093248000
|nameurl=https://x.com/EricRWeinstein/status/1084146455093248000
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=Wow. Did you guys ever talk shop? I have to admit I didn’t always get the most out of him 1 on 1. Singer and Bott were much clearer. [[Michael Atiyah|Atiyah]] and Witten tended to tell you something related to whatever you asked but often not in a dialogue. More like a juke box of answers.
|content=Wow. Did you guys ever talk shop? I have to admit I didn’t always get the most out of him 1 on 1. [[Isadore Singer|Singer]] and [[Raoul Bott|Bott]] were much clearer. [[Michael Atiyah|Atiyah]] and [[Ed Witten|Witten]] tended to tell you something related to whatever you asked but often not in a dialogue. More like a juke box of answers.
|timestamp=5:53 PM · Jan 12, 2019
|timestamp=5:53 PM · Jan 12, 2019
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|nameurl=https://x.com/EricRWeinstein/status/1201952965323444225
|nameurl=https://x.com/EricRWeinstein/status/1201952965323444225
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=One of the greatest minds of our time, [[Michael Atiyah]], eulogized by his true still-active peers including [[Ed Witten|Witten]] & Donaldson. With all the confusion/hype of this moment in time, it's worth reminding ourselves of what achievement sounds like w/o inflation:
|content=One of the greatest minds of our time, [[Michael Atiyah]], eulogized by his true still-active peers including [[Ed Witten|Witten]] & Donaldson. With all the confusion/hype of this moment in time, it's worth reminding ourselves of what achievement sounds like w/o inflation:


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|nameurl=https://x.com/EricRWeinstein/status/1474262756308119555
|nameurl=https://x.com/EricRWeinstein/status/1474262756308119555
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=Said differently I’ve been bullish on positive externalities of mathematical physics. But a lot of great math that got done isn’t [[String Theory|string theory]]. It’s claimed to be stringy but it is really mostly mathematical physics or geometric field theory that is claimed by string theorists.
|content=Said differently I’ve been bullish on positive externalities of mathematical physics. But a lot of great math that got done isn’t [[String Theory|string theory]]. It’s claimed to be stringy but it is really mostly mathematical physics or geometric field theory that is claimed by string theorists.
|thread=
|thread=
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|nameurl=https://x.com/EricRWeinstein/status/1473817405809778689
|nameurl=https://x.com/EricRWeinstein/status/1473817405809778689
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=Things got hard. They didn’t get hopeless.
|content=Things got hard. They didn’t get hopeless.


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|nameurl=https://x.com/EricRWeinstein/status/1474213317568651264
|nameurl=https://x.com/EricRWeinstein/status/1474213317568651264
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=We may disagree intellectually more than I thought. This is Jackiw’s point: the era of physics thinking of mathematics as advanced calculus (analysis) wasn’t fruitful.
|content=We may disagree intellectually more than I thought. This is Jackiw’s point: the era of physics thinking of mathematics as advanced calculus (analysis) wasn’t fruitful.


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|nameurl=https://x.com/EricRWeinstein/status/1474261469462073344
|nameurl=https://x.com/EricRWeinstein/status/1474261469462073344
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=[[Quantum Field Theory|QFT]] & cross-sections sound more like particle theory than Astrophysics, Cosmology or even [[General Relativity|GR]].
|content=[[Quantum Field Theory|QFT]] & cross-sections sound more like particle theory than Astrophysics, Cosmology or even [[General Relativity|GR]].


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|nameurl=https://x.com/EricRWeinstein/status/1474261875328098308
|nameurl=https://x.com/EricRWeinstein/status/1474261875328098308
|name=Eric Weinstein
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|usernameurl=https://x.com/ericweinstein
|username=EricRWeinstein
|username=ericweinstein
|content=There are a lot of string theorists who have done things that really matter to geometry, topology, analysis on manifolds, representation theory. And I don’t want to misunderstand your point.
|content=There are a lot of string theorists who have done things that really matter to geometry, topology, analysis on manifolds, representation theory. And I don’t want to misunderstand your point.
|timestamp=6:13 AM · Dec 24, 2021
|timestamp=6:13 AM · Dec 24, 2021

Latest revision as of 22:44, 5 May 2026

On XEdit

2019Edit

One of the world’s greatest men has died. Most of you will have no idea who this is. I just don’t know how to bridge that gap yet to tell you what he did.

I was very close with his top collaborator. They were the Watson and Crick of mathematics to me. They rewrote my whole life.

3:48 PM · Jan 12, 2019

Michael Atiyah OM FRS, President of the Royal Society 1990 -1995, died today. He was "a wonderful person who was a true internationalist and a fervent supporter for investing in talent – themes which resonate very clearly today." Read the full tribute https://royalsociety.org/news/2019/01/tribute-to-former-president-of-the-royal-society-sir-michael-atiyah/

 
3:48 PM · Jan 12, 2019

There is a little known stone wall on Long Island. While flawed, it is a gift to all mankind that should be a pilgrimage site, as an understanding of the contents is nesessary to understand our world. Think of it as transcendent graffiti. Atiyah‘s spray-paint is everywhere here.

   
4:36 PM · Jan 12, 2019

Imagine watery planets with holes and twists. Knotted donut planets called base spaces. Crazy oceans called “Vector bundles” and “Principal bundles”.

He told us about how the twists and holes determine what waves must live on them and which cannot.

4:59 PM · Jan 12, 2019

He helped direct Ed Witten and Graeme Segal to truly tell us what Quantum Field Theory really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.

5:03 PM · Jan 12, 2019

If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.

5:07 PM · Jan 12, 2019

I completely agree with your assessment of the magnitude of the world's loss here. But who, in your view, was Atiyah's "top collaborator"? Bott, perhaps? Singer? Someone else? He shared credit with a large number of co-workers in his published work. (I'd vote for Bott, myself.)

4:39 PM · Jan 12, 2019

@MathPrinceps I knew Bott and Singer very well, but it was still not even close to me. I won’t say more here just now. You will also notice that Bott and Singer never collaborated despite being one zip code away from each other in Massachusetts Ave in Cambridge MA. Towering giants all.

4:45 PM · Jan 12, 2019

I knew Bott and Singer pretty well myself, and I agree that it's not even close.

4:39 PM · Jan 12, 2019

What a lunch we could have. Would love to hear your perspective.

5:11 PM · Jan 12, 2019

They were such extraordinary persons, and their influence on me was exceeded only by that of Chern. I miss them all more than I can say. And perhaps we should indeed have lunch. Pretty sure we'd both enjoy it.

5:15 PM · Jan 12, 2019

Are you anywhere near SF? I gotta hear your argument for Atiyah Bott. The main flaw on that wall IMO is the absence of Bott Periodicity. Other issues: Tits Freudenthal, the main Elliptic Deformation Complexes, Hopf Fibration, etc..

But Bott Periodicity is beyond mind blowing.

5:25 PM · Jan 12, 2019

Yes, I reside in Mountain View, and get up to SF with some frequency. And I don't mean to make an argument for Atiyah-Bott, exactly; it's more of a feeling, born mostly of personal observation, that Atiyah-Bott had a much deeper aesthetic affinity than did Atiyah-Singer (say.)

5:29 PM · Jan 12, 2019

@BraneRunner @MathPrinceps Some would put it higher.

4:46 PM · Jan 12, 2019

He helped direct Ed Witten and Graeme Segal to truly tell us what Quantum Field Theory really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.

5:03 PM · Jan 12, 2019

If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.

5:07 PM · Jan 12, 2019

@vanest SUNY Stony Brook, Simons Center for Geometry and Physics. It’s blocked partially by a staircase now.

5:27 PM · Jan 12, 2019

Very sad news indeed - I knew Michael from when I was at @TrinCollCam he was brilliant, warm & amazing. Was at a conference where he was supposed to speak on thursday #higgscentre - he cancelled at the last minute....

5:47 PM · Jan 12, 2019

Wow. Did you guys ever talk shop? I have to admit I didn’t always get the most out of him 1 on 1. Singer and Bott were much clearer. Atiyah and Witten tended to tell you something related to whatever you asked but often not in a dialogue. More like a juke box of answers.

5:53 PM · Jan 12, 2019

More recently we talked about dark matter and black holes (2 yrs ago now) he was very excited about astro... b4 when i was a student he was just very encouraging and warm

5:56 PM · Jan 12, 2019


One of the greatest minds of our time, Michael Atiyah, eulogized by his true still-active peers including Witten & Donaldson. With all the confusion/hype of this moment in time, it's worth reminding ourselves of what achievement sounds like w/o inflation:

https://www.ams.org/journals/notices/201911/rnoti-p1834.pdf

7:54 PM · Dec 3, 2019

2021Edit

Things got hard. They didn’t get hopeless.

Yes we spent almost 40 years lying about string theory. But we could stop today. We could have the leaders in the field admit they made a *colossal* bad bet & ask “What did we dispose of while we were wildly over-hyping string theory?”

12:47 AM · Dec 23, 2021

Its increasingly apparent to me that the next physics breakthrough is gonna be from #ai . Its humanly not possible anymore for theoretical physicists ..i was feeling it even around 2010

12:17 AM · Dec 23, 2021

They can't stop, Eric. They're making a living from writing papers about things no one will ever see. It's a systemic problem that requires a systemic response. And the first step would be to admit they have a problem (which they don't).

4:25 AM · Dec 23, 2021

Seems likely a lot of the math they developed will wind up handy, but it's a long time to wait for dessert.

4:30 AM · Dec 23, 2021

Most of what physicists call math is totally uninteresting even for mathematicians. It's just advanced calculus. Look here is my qft and when I crunch it cross-sections fall out.

4:33 AM · Dec 23, 2021

We may disagree intellectually more than I thought. This is Jackiw’s point: the era of physics thinking of mathematics as advanced calculus (analysis) wasn’t fruitful.

That changed around 1975 when the quantum began to discover geometry.

I’m honestly confused. What do you mean?

3:00 AM · Dec 24, 2021

We are talking past each other. I am referring to particle physicists/astrophysicists/cosmologists who crunch out shallow and useless papers in the thousands. There's no interesting math in those. You're talking about something else entirely.

5:15 AM · Dec 23, 2021

QFT & cross-sections sound more like particle theory than Astrophysics, Cosmology or even GR.

Would we agree that the collision of Witten/Singer/Quillen/Seiberg/Freed/Bismut/Maldacena/Penrose/Atiyah/ Hitchin/Dijgraff/Vafa/Segal/Jackiw/Kontseivich/Alvarez-Gaume/etc has been magic?

6:11 AM · Dec 24, 2021

There are a lot of string theorists who have done things that really matter to geometry, topology, analysis on manifolds, representation theory. And I don’t want to misunderstand your point.

6:13 AM · Dec 24, 2021

Said differently I’ve been bullish on positive externalities of mathematical physics. But a lot of great math that got done isn’t string theory. It’s claimed to be stringy but it is really mostly mathematical physics or geometric field theory that is claimed by string theorists.

6:16 AM · Dec 24, 2021

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