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Ten lessons I wish I had been taught, by Gian-Carlo Rota: https://www.ams.org/notices/199701/comm-rota.pdf
Similar: advice on being a mathematician from Paul Halmos: http://www.ams.org/notices/200709/tx070901136p.pdf,
and how to give a colloquium according to John McCarthy: http://www.ams.org/profession/leaders/workshops/gcoll.pdf
The grammar according to West (guide to writing in mathematics, particularly for non-native speakers): https://faculty.math.illinois.edu/~west/grammar.html The
“periodic table of finite simple groups”, by Ivan Andrus: https://irandrus.wordpress.com/2012/06/17/the-periodic-table-of-finite-simple-groups/ To do: make an equally useful and silly picture, but with improved organization (no reason to split the classical groups across both sides, except to make it look more like the chemical periodic table).
Spacebook: https://topology.jdabbs.com/ (“Does first countable and separable imply second countable?”, etc)
Sage quickref: https://wiki.sagemath.org/quickref
MRLookup: “Give me a bibtex-formatted citation, please”: https://mathscinet.ams.org/mrlookup (or maybe even better: see https://mathoverflow.net/a/319982/20598)
Detexify: “What’s the latex command for the symbol [some scribble]?” http://detexify.kirelabs.org/classify.html
Digital timestamp: Need to certify that you have a proof of the Riemann hypothesis (or whatever) today, but not yet ready to go public? http://www.itconsult.co.uk/stamper.htm (and then don’t email it to me) The ever-useful
TeXample: http://www.texample.net/. Start with somebody else’s example and modify as needed.
latex2wp: Compile basic latex –> wordpress. https://github.com/seaneberhard/latex2wp
Google ngrams: “Is it more usual to say ‘well known’ or well-known’?”, etc. https://books.google.com/ngrams
Name pronunciation for famous mathematicians: http://www2.onu.edu/~m-caragiu.1/bonus_files/Names.pdf
mathgen: Generate a random math paper to impress your friends! https://thatsmathematics.com/mathgen/