Diophantine approximation on abelian varieties; a conjecture of M. Waldschmidt
Lior Fishman, David Lambert, Keith Merrill, David Simmons
https://arxiv.org/abs/2506.19060
It's the #DayOfZeus / Jupiter's Day / Thorsday! ⚡
"And Dardanos' child, #Ganymede, prince of Phrygia, the dear delight of Zeus' bed, dipped deep the bowl of gold [at the wedding of Peleus and Thetis], filling the cups for wine-offerings."
Euripides, Iphigenia …
To the genocide-loving German from mastodon.social who reported @… for being antisemitic:
Fuck you, you genocide-loving piece of shit, opposing genocide isn’t antisemitism. What you’re doing – conflating being anti-genocide with being antisemitic – is the greatest antisemitism as you’re de facto stating that all Jews are pro-genocide.
Confusing episode. Let me clear it all up.
The world is sinking into the doubt needed to rescue Omega, remember, and The Doctor is falling with a balcony that's separated from the building.
How does he get out of that?
Well, saved by a literal magic door that pops out of nowhere, leading back to the time hotel. 🤨
Anita, who he spent a year with once a couple of Christmases ago, has been popping around the Doctor's entire long life, peeping on him with the Daleks and stuff. Trying to find him on the Earth's last day. Today.
And now he's rescued, today turns into a groundhog day. Same day over and over again. 😆
There's another woman that's been stalking him through time lately, Mrs Flood. She was following him everywhere, but she had Xmas off she reckons, so didn't see the Time Hotel bit. Thus the element of surprise in the deus ex machina rescue. 😀
The Doctor is broken free of the wish spell now anyway, popped his conditioning, and can use the time hotel's door to recall Unit and break them all out of the wish too.
The Rani pops in to say hi and explain her plans. 😝
How did the Rani survive the end of the Timelords? She flipped her DNA to sidestep the genetic bomb apparently? Well that makes no sense, but nor does anything else so no time to ponder.
The end of the Time Lords made them all Barons... No, made them barren. There can be no more children of the time-lords.
She's popping Omega back out of the underworld for his DNA because the timelords are all barren and she wants to recreate Galifrey.
But wait a minute: Poppy is the Doctor's kid in wish world! So she should have Timelord DNA too! Maybe that could work?
No. The Rani is a nazi, don't like the kid's contaminated blood. She's got human all over her DNA. Eww.
Rani pops off back to her Bone Palace, and makes the bone beasts attack.
The Doctor explains that the Giant dinosaur skeletons are beasts that pop in to clean up the world when there's a reality flux, and the Rani has turned them on Unit HQ.
So the UNIT HQ turns into some kinda ship? Like the Crimson Permanent Insurance. Lol. It's blasting lasers at the bone beasts and turning around, and has a steering wheel like pirate ship now. 🤣
During the battle, the Doctor pops out to take a ride on the sky-bike, looking like something from Flash Gordon, and crashes into the Bone Palace.
Too late though! Omega is pretty much here now. He's a giant boney CGI zombie, become his own legend. Looks great but doesn't really seem like Omega, who ought to be held together by pure will.
Omega eats the Rani! One of the Ranis anyway. Mrs Flood avoids being eaten. She pops off with the time bracelet. "So much for the Two Rani's. It's a goodnight from me!" as she disappears off into time. Great gag. 😁
The Doctor just shoots Omega to get him back into his box. Pops a rifle off the wall. The Vindicator has apparently also got a built in laser as well as locator beacons. So that's handy. The Doctor doesn't use guns but some of his devices work like one. 🔫
So all is well! The day is saved and the wish is over and baby Poppy survives in a time box! 🍻
They're going to take the space baby off to do space adventures. Ruby is jealous of seeing The Doctor and Belinda vibing like that, as they plan a life in space with the space baby. Aww. Poor Ruby. 😭
But then Poppy pops off! Disappears entirely, and everyone other than Ruby forgets. Ruby remembers because she's disappeared from time herself in the past they say.
Okay: to save his child and on Ruby's word alone, the Doctor will sacrifice himself to turn reality one degree.
He goes off to commit suicide by Regeneration, but Thirteen is here! She's popped out of her timeline to stop him! Or maybe to help, with a motivational chat instead. Gives him a pep talk then pops back off again.
The Doctor zaps reality with his Tardis, dying but holding off on the actual regeneration for a few moments to go check on the kid.
The kid is safe! But isn't his own kid any more. Poppy has popped all her Timelord DNA and is just all human now. Poppy's pop isn't the doc, it's someone called Richie.
And Belinda has been so keen to get home all this time in order to get back to her Baby! Who isn't a timelord, and definitely didn't exist until she was wished into being.
This may not be the most ethical action The Doctor has ever taken: To bend the whole universe in order to recreate a baby that was accidentally wished into being out of nothing. Twisting time to give a child to a nurse who didn't previously have a child, or even remember the wish. Then it's not even the same child that disappeared, coz this one is all human. 🤷
But the doc is popping off to regenerate with Joy in the stars, and... Turns blonde: "oh. Hello?" 🤯
It's Rose! Billie Piper is back? Fantastic!
Is Rose doing a David Tennant Impression there?
Billie playing the Doctor, doing a Tennant impression as Bad Wolf? Amazing. Can't wait.
#doctorWho
Happy #AutisticPrideDay! ♾️💙
I’m proudly autistic, my brain works in its own unique way, full of different thoughts and feelings all at once. Being autistic is part of who I am, not something to fix. 🧠🧠
I’m also queer and genderfluid, and that’s just another part of my colorful identity. Some days I feel one way, some days another, and that’s okay. 🏳️🌈☂️
Neurodiver…
The return of Attack of the Killer Tomatoes in the theaters was NOT on my bingo card. 😁
✅ 'Attack of the Killer Tomatoes' Reboot In Works With David Koechner, More
https://deadline.com/2025/06/attack-of-the-killer-tomatoe…
Urban Living II 🌝
都市生活 II 🌝
📷 Nikon FE
🎞️Lucky SHD 400
buy me ☕️ ?/请我喝杯☕️?
#filmphotography
Sensor Tower: daily US users of PDD Holdings' Temu fell by 58% in May; the US closed the "de minimis" loophole on May 2, and Temu then slashed its ad spending (Reuters)
https://www.reuters.com/business/retail-co
“Humans generally want to feel chosen and special, and some individuals will believe they are to an extraordinary degree.” —YDS Prof Yii-Jan Lin as quoted in Rolling Stone on A.I. and religious fervor. https://www.rollingstone.com/culture/cultu