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Updated: 2018-Sep-23 13:56 UTC. Listed tweets: 20. Based on tweets of Mathematicians on Twitter. Feedback: @TrueSciPhi.

Mathematicians' tweets from past 7 days most retweeted *per follower*:

1. One retweet per 1 followers:

Just got wind of this on Facebook. The most subtle of announcements for what is a huge claim from a titan of mathematics... #math #maths

— Steve McCormick (@Quasilocal) September 19, 2018

Stay tuned I guess :) pic.twitter.com/uTM3444s4b

2. One retweet per 13 followers:

Sometimes you check just a few examples and decide something is always true. But sometimes even 9.8 × 10⁴² examples is not enough!!!@gregeganSF and I came up with this shocker here on Twitter. To see what's really going on, visit my blog:https://t.co/Yw0S0Iyyx9 pic.twitter.com/1FThY9skeZ

— John Carlos Baez (@johncarlosbaez) September 21, 2018

3. One retweet per 16 followers:

Friends! I am so happy to share that my little booklet “What is Applied Category Theory?” is now available on the arXiv. It’s a collection of introductory, expository notes inspired by the ACT workshop that took place earlier this year. Enjoy! https://t.co/EPYP19z14x pic.twitter.com/O4uVhj401s

— Tai-Danae Bradley (@math3ma) September 18, 2018

4. One retweet per 19 followers:

New Fields Medalist Peter Scholze and geometer Jakob Stix have identified what Stix calls a "serious, unfixable gap" in Shinichi Mochizuki's proof of the ABC conjecture -- my latest story for Quanta Magazine https://t.co/9GHHNFfQcQ via @QuantaMagazine

— Erica Klarreich (@EricaKlarreich) September 20, 2018

5. One retweet per 37 followers:

In hyperbolic space, there could be whole undiscovered civilizations quite nearby. pic.twitter.com/k79qvtgNlH

— Joel David Hamkins (@JDHamkins) September 18, 2018

6. One retweet per 68 followers:

Starting my graduate program, I thought I understood a decent amount of math. Now, 9 years since I finished my math PhD, I’m fully confident I understand essentially no mathematics whatsoever. And then all these people keep coming up with even more newer math I don’t know about! https://t.co/BGs9vWZVyc

— Dr. Kate Owens (@katemath) September 22, 2018

7. One retweet per 74 followers:

We are advertising two faculty jobs (tenure or tenure-track) in Mathematics at UCLA!

— Mason Porter (@masonporter) September 21, 2018

One in Financial Mathematics (broadly construed): https://t.co/RorKFDhkWz

One for research in any area of mathematics: https://t.co/QRm8pB1tbA

8. One retweet per 86 followers:

The vertices of this 4-dimensional shape are the quaternions

— John Carlos Baez (@johncarlosbaez) September 16, 2018

1, -1, i, -i, j, -j, k, -k

It's a 4d analogue of the regular octahedron!

These 8 points also form a group: the "quaternion group". And it's one of the most commutative of noncommutative groups!

(continued) pic.twitter.com/rbq6b7h73U

9. One retweet per 110 followers:

Check out Tai-Danae Bradley's new short book "What is Applied Category Theory?" It's free, it's friendly, it's fun. It explains the big ideas, then applies them to chemistry and linguistics.

— John Carlos Baez (@johncarlosbaez) September 18, 2018

You can follow her here on Twitter: she's @math3ma.https://t.co/nx5mbQ1nGJ

10. One retweet per 125 followers:

Logic is important of course but I feel like first proofs courses don't let students know that proofs are supposed to make sense.

— Piper, PhD (@pwr2dppl) September 19, 2018

11. One retweet per 128 followers:

I've been sharing a lot of gerrymandering gifs I've made without really describing what's going on! Here's a quick and dirty 4-panel explainer pic.twitter.com/3fpLTSmJ4x

— Olivia Walch (@oliviawalch) September 19, 2018

12. One retweet per 136 followers:

I predict it's not going to hold up. Atiyah's recent big claims, like his supposed proof that the 6-sphere admits no complex structures, have not been holding up.

— John Carlos Baez (@johncarlosbaez) September 20, 2018

Everyone who knows him well has been too embarrassed to publicly discuss the reasons.

13. One retweet per 139 followers:

Sylow's theorems are key to understanding the structure of finite groups. Take a finite group G, a prime p, and let p^k be the biggest power of p that divides the size of G. Then G has a subgroup of size p^k, called a "Sylow p-subgroup". And more good stuff...

— John Carlos Baez (@johncarlosbaez) September 19, 2018

(continued) pic.twitter.com/AsapfpE9NP

14. One retweet per 146 followers:

If it's ever bothered you that an infinite set (unlike a finite set) doesn't get smaller when you take away an element from it, you might enjoy my essay "A New Game With Infinity", which describes a different way to measure the sizes of some infinite sets: https://t.co/DgNEG796Oz

— James Propp (@JimPropp) September 17, 2018

15. One retweet per 155 followers:

My paper (with @JmBuldu), "Frequency-based brain networks: From a multiplex framework to a full multilayer description", is out in final form (in @netneurosci): https://t.co/axoq1ELHDA

— Mason Porter (@masonporter) September 17, 2018

Can you find the easter egg in the paper? Hint: This is Spinal Tap.

16. One retweet per 167 followers:

This is a really important statement to practicing data scientists. Do not ever put blind faith in Tensorflow, R packages, SAS functions, or any other statistical package. Learn principles behind what you’re doing. A bootcamp is not sufficient. https://t.co/kafuRPHB4X

— Rachel Traylor (@Mathpocalypse) September 19, 2018

17. One retweet per 174 followers:

Camisa de fuerza bilingüe (palíndromo que va en inglés y vuelve en español). Colaboración con @Anthony_Etherin. https://t.co/95zrAJV47J

— Pedro Poitevin (@poitevin) September 20, 2018

18. One retweet per 182 followers:

What a gift! Ramanujan’s papers, now online. https://t.co/yNm4B5PqNP

— Steven Strogatz (@stevenstrogatz) September 18, 2018

19. One retweet per 187 followers:

A Gaussian-like sum that's always 0. Can you show it? #math #algebra pic.twitter.com/OorGGtiKho

— Sam Walters ☕️ (@SamuelGWalters) September 20, 2018

20. One retweet per 188 followers:

Perhaps a decent time to announce this: I'll be giving a webinar October 8 at ipSpace on connectivity in graphs and why this mathematical concept matters in network design. It is a paid webinar hosted by @ioshints . If you're interested, here's the link: https://t.co/hB0JpfHke6

— Rachel Traylor (@Mathpocalypse) September 21, 2018