Check out the Jane Street programs if you're considering a mathematics/finance/programming job:
https://www.janestreet.com/join-jane-street/our-programs/

Here is Tim Gowers's reply to the original tweet:
https://twitter.com/wtgowers/status/1346212151581700096

Start your Schanuel's Conjecture journey here:
https://mathworld.wolfram.com/SchanuelsConjecture.html

3^3^3^3 on wolfram alpha:
https://www.wolframalpha.com/input/?i=3%5E3%5E3%5E3

And for completeness, here is pi^pi^pi^pi:
https://www.wolframalpha.com/input/?i=pi%5Epi%5Epi%5Epi

If you have opinions about my 2n conjecture, send an email to matt+puzzles@standupmaths.com

Here is my Numberphile video about types of numbers.
https://www.youtube.com/watch?v=5TkIe60y2GI

CORRECTIONS:
- None yet, let me know if you spot any mistakes!

Thanks to my Patreons who are also vital in keeping the videos coming. Stock audience clips don't come cheap.
https://www.patreon.com/standupmaths

As always: thanks to Jane Street who support my channel. They're amazing.
https://www.janestreet.com/

Editing by Alex Genn-Bash
Maths graphics by Sam Hartburn and Matt Parker
Music by Howard Carter
Design by Simon Wright and Adam Robinson

MATT PARKER: Stand-up Mathematician
Website: http://standupmaths.com/
US book: https://www.penguinrandomhouse.com/books/610964/humble-pi-by-matt-parker/
UK book: https://mathsgear.co.uk/collections/books/products/humble-pi-signed-paperback