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Paul Johnson

@ptwiddle

American mathematician in the UK. Mellowing in middle age. He/Him.

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08.11.2024
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Latest posts by Paul Johnson @ptwiddle

I raise

06.03.2026 17:14 πŸ‘ 141 πŸ” 36 πŸ’¬ 5 πŸ“Œ 6

Math history question: Is Ξ³:[0,1]β†’X the notation for a path in a space X because

(1) Ξ³ is the third Greek letter ↔ Roman c which stands for curve;

(2) orthographically, Ξ³ β€” especially when handwritten β€” looks like a curve; or

(3) Cauchy chose it at random for a complex path integral and it stuck?

05.03.2026 14:15 πŸ‘ 19 πŸ” 5 πŸ’¬ 5 πŸ“Œ 1

College for me, too. Can't remember if I found wallace-l or pynchon-l first, but I definitely found Wallace first, swooping in and reading my mom's copy before she could. Then everyone was comparing Wallace to Pynchon so I had to check that out.

But I'm a bit of a lurker in person, too.

05.03.2026 10:45 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

I've flashed back to that time recently seeing people post old Get Your War On strips that are once again (still might be better?) applicable

05.03.2026 10:33 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Feel surprised to hear it's still going!

Started rereading it myself a year or two ago and was still loving it but also I'm pulled in so many more directions now than when I was first devoured by it and fizzled out.

05.03.2026 10:30 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

I don't think I ever paid it that much attention but it did feel like a place that felt quiet and welcoming and semi-private. Like all good corners of the internet.

05.03.2026 10:26 πŸ‘ 2 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

Seems the place to confess that I started following you because I recognized your name from the DFW discussion email list, where I lurked.

05.03.2026 10:06 πŸ‘ 3 πŸ” 0 πŸ’¬ 2 πŸ“Œ 0

His first album, Good News, is play from start to finish, sing along to every song good.

05.03.2026 06:56 πŸ‘ 3 πŸ” 1 πŸ’¬ 0 πŸ“Œ 0
01.03.2026 13:13 πŸ‘ 1181 πŸ” 221 πŸ’¬ 7 πŸ“Œ 2

Hannah Spencer walking into Westminster, sucking her teeth, tutting, and muttering "tell you what, you've had some cowboys in here."

27.02.2026 06:22 πŸ‘ 2734 πŸ” 705 πŸ’¬ 30 πŸ“Œ 24

"Run the University like a business. No, not like that!"

Also works with taking large number of overseas students because they pay more in tuition.

Meanwhile, our Chemistry department is facing large redundancies because lab sciences are expensive.

26.02.2026 10:35 πŸ‘ 8 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
Preview
Playing Beethoven and El Toro Viejo with a banda in Mexico The connections between classical music and Sinaloan brass bands

Cooking gringo tacos so I'm listening to Banda de los Muertos and thinking about this @jacobgarchik.bsky.social post:
jacobgarchik.substack.com/p/playing-be...

25.02.2026 18:39 πŸ‘ 1 πŸ” 1 πŸ’¬ 0 πŸ“Œ 0

Sometimes half the difficulty of maths seems to remembering sign or left-right conventions.

25.02.2026 07:20 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

First year of grad school, Marty Isaacs used this notation in group theory, so gh meant first g and then h when doing group actions.

25.02.2026 07:19 πŸ‘ 1 πŸ” 0 πŸ’¬ 2 πŸ“Œ 0

Listening to Gillian Welch's anti-Napster "Everything is Free" and thinking about the billionaires vision for AI.

23.02.2026 17:48 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Yup. I have had ILR for years, but just moved house and part of budgeting was setting some aside to finally get citizenship. Now that the move is done it's time to get on that...

23.02.2026 12:25 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Integrating exp(ax)cos(bx) using integration by parts twice is a missed opportunity. Using an ansatz (answer=A exp(ax)cos(bx)+B exp(ax)sin(bx), then taking derivative and solving for A,B) or Euler's exp(ix)=cos(x)+I sin(x) instead introduces techniques they'll need for differential equations.

20.02.2026 12:06 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

Daughter pointed out the folding instructions to Flip 7 has seven (double sided) panels. That's attention to detail.

18.02.2026 20:56 πŸ‘ 2 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0
adairsofair commented on instagram:

In elementary school we weren't allowed to wear hats and in 3rd grade this boy, Joey, came in with a hat on and we were all like
"Joey ur gonna get in trouble!" And the teacher told him to take it off but he said he got a really bad hair cut so the teacher and him went out in the hall and then they came back in and she said "Joey is allowed to wear a hat today"

adairsofair commented on instagram: In elementary school we weren't allowed to wear hats and in 3rd grade this boy, Joey, came in with a hat on and we were all like "Joey ur gonna get in trouble!" And the teacher told him to take it off but he said he got a really bad hair cut so the teacher and him went out in the hall and then they came back in and she said "Joey is allowed to wear a hat today"

laughing so hard I might cry at this random instagram comment

18.02.2026 02:06 πŸ‘ 2649 πŸ” 528 πŸ’¬ 6 πŸ“Œ 21

It helps to look convincingly happy about the things you're doing. It helps sell the sense that you're doing something because it aligns with your values. This government's default mode is to do something while handwringing that they had no other choice because someone else made them do it.

13.02.2026 11:19 πŸ‘ 161 πŸ” 41 πŸ’¬ 5 πŸ“Œ 4

Answering the question of if I even lift with, no I’m obstructed

13.02.2026 01:30 πŸ‘ 15 πŸ” 1 πŸ’¬ 3 πŸ“Œ 0
Preview
Jeff Goldblum should make a film about this legendary mathematician Paul ErdΕ‘s was one of the most prolific mathematicians to ever live, known for showing up at the door of others in the field and declaring they should host and feed him while they do maths together. H...

My latest maths column is a plea to Hollywood - when are we going to get a Paul ErdΕ‘s biopic starring Jeff Goldblum? www.newscientist.com/article/2514...

11.02.2026 09:24 πŸ‘ 27 πŸ” 10 πŸ’¬ 4 πŸ“Œ 0

Once upon a time I was taking a train from East Berlin to Budapest. It was crowded to start with, and I was sitting on the floor, but everything got worse in Dresden, when many rowdy young E. Germans got on. They spilled beer on my head. They tripped over me. It was 2am and I didn’t want a fight…

10.02.2026 15:58 πŸ‘ 138 πŸ” 40 πŸ’¬ 5 πŸ“Œ 14

Ski jumping penis injections is not the sequel I expected to Gay hockey drama

06.02.2026 12:59 πŸ‘ 16 πŸ” 3 πŸ’¬ 1 πŸ“Œ 0
https://www.justice.gov/epstein/files/DataSet%209/EFTA00688479.pdf

From: Misha Gromov
To: "jeffrey E." <jeevacation@gmail.com>
Subject: Re:
Date: Wed, 01 Mar 2017 16:08:46 +0000
may be we talk by Skype, mine is
On Wed, 1 Mar 2017 09:49:03 -0500, jeffrey E. wrote:
can you send james simons a note. telling him that i am not as bad as google would lead one to believe , I
understand his wife is concerned.

https://www.justice.gov/epstein/files/DataSet%209/EFTA00688479.pdf From: Misha Gromov To: "jeffrey E." <jeevacation@gmail.com> Subject: Re: Date: Wed, 01 Mar 2017 16:08:46 +0000 may be we talk by Skype, mine is On Wed, 1 Mar 2017 09:49:03 -0500, jeffrey E. wrote: can you send james simons a note. telling him that i am not as bad as google would lead one to believe , I understand his wife is concerned.

https://www.justice.gov/epstein/files/DataSet%209/EFTA00682542.pdf

From: Misha Gromov
To: "Jeffrey E."
Subject: Re:
Date: Sun, 08 Nov 2015 20:15:07 +0000
Maxim Kontsevich is " the sharpest cutting edge" mathematically but not conversationally. Alain Connes, despite
his age (a year younger than myself) is full of fire and ideas.
Francois Taddei, a biologist, has a global view on science education.
Yves Oudeyer has a non-trivial vision and results on robotis
On Sun, 8 Nov 2015 20:34:05 +0100, jeffrey E. wrote:
no problem , see you in new york , cambridge. if you think i should meet someone here that you find cutting
edge. I d appreciate it
On Sun, Nov 8, 2015 at 7:41 PM, Misha Gromov a wrote:
This is tough, I leave for NY in four days and have only a couple evenings free.
On Sat, 7 Nov 2015 20:09:11 -0500, jeffrey E. wrote:
Im here in paris. if you have time

https://www.justice.gov/epstein/files/DataSet%209/EFTA00682542.pdf From: Misha Gromov To: "Jeffrey E." Subject: Re: Date: Sun, 08 Nov 2015 20:15:07 +0000 Maxim Kontsevich is " the sharpest cutting edge" mathematically but not conversationally. Alain Connes, despite his age (a year younger than myself) is full of fire and ideas. Francois Taddei, a biologist, has a global view on science education. Yves Oudeyer has a non-trivial vision and results on robotis On Sun, 8 Nov 2015 20:34:05 +0100, jeffrey E. wrote: no problem , see you in new york , cambridge. if you think i should meet someone here that you find cutting edge. I d appreciate it On Sun, Nov 8, 2015 at 7:41 PM, Misha Gromov a wrote: This is tough, I leave for NY in four days and have only a couple evenings free. On Sat, 7 Nov 2015 20:09:11 -0500, jeffrey E. wrote: Im here in paris. if you have time

people are underselling the role of Misha Gromov as a fixer for Epstein, someone who helps him extend his network of influence by softening his reputation and making high profile introductions. Perhaps non-mathematicians won't know these names but this is not a small thing

04.02.2026 11:09 πŸ‘ 57 πŸ” 15 πŸ’¬ 3 πŸ“Œ 0
tweet, sharing a graph that shows students using generative AI perform 48% better on practice tests, but 17% worse on real exams

Caption:

I knew this would inevitably happen as AI got better.

If you're not using AI -- people who use it to study will cognitively pass you in critical thinking.

tweet, sharing a graph that shows students using generative AI perform 48% better on practice tests, but 17% worse on real exams Caption: I knew this would inevitably happen as AI got better. If you're not using AI -- people who use it to study will cognitively pass you in critical thinking.

put it in the Louvre

04.02.2026 09:23 πŸ‘ 157 πŸ” 43 πŸ’¬ 11 πŸ“Œ 5

Sticking with The Weakerthans " Our Retired Explorer (Dines With Michel Foucault in Paris, 1961)" even after I remembered there was a parenthetical and does that count?

04.02.2026 07:39 πŸ‘ 2 πŸ” 0 πŸ’¬ 1 πŸ“Œ 0

"I'm hoping your viewers are so ignorant that I can spin an utterly routine pattern that happens for extremely well understood demographic reasons as evidence of imaginary fraud."

03.02.2026 20:38 πŸ‘ 232 πŸ” 47 πŸ’¬ 13 πŸ“Œ 2

XYit. Manbandonment.

03.02.2026 20:04 πŸ‘ 1 πŸ” 0 πŸ’¬ 0 πŸ“Œ 0

"A budget is a statement of our values..."

Would be nice to hear this reflected in how we discuss financial modelling in UK HE. Currently, we seems to stuck at "number go up, number go down" rather than what kind of institution are we and why?

03.02.2026 11:19 πŸ‘ 14 πŸ” 3 πŸ’¬ 1 πŸ“Œ 0