Links

This is a collection of things on the internet that I have found interesting, useful, or funny.

It lives here both so that I can find things again later and in the hopes that it might be useful to someone else! Let me know if you notice that a link is broken so I can (attempt to) fix it.

Advice (broadly defined)

• Advice on asking for recommendation letters: Pamela Harris, Tom Roby, Ravi Vakil
• Lots of good advice for math grad students: Ravi Vakil
• Advice for succeeding in a college math classroom (some advice in the first link is specific to Carleton and in the second link to Cal State LA, but most is more generally applicable or an equivalent resource might exist at your college): Carleton TRIO, Justin Troyka
• Lots of resources for REUs, applying to grad school, connecting with other mathematicians, etc.: OURFA2M2 (I also highly recommend subscribing to their newsletter)
• "Our Stories" talk about questioning and finding your place in math: Juliette Bruce
• Archive of AMS Notices Early Career articles by topic area: Angela Gibney

Teaching resources

• Analog Inspiration: Prompts/Tools/Ideas for incorporating AI into teaching and learning in ways that are productive and don't replace thinking: Home Page, Cards/Prompts

Mathematical axioms

Mathematical Axioms (from Federico Ardila):
Axiom 1. Mathematical potential is equally present in different groups, irrespective of geographic, demographic, and economic boundaries.
Axiom 2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
Axiom 3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Axiom 4. Every student deserves to be treated with dignity and respect.

Websites featuring modern mathematicians

This list was compiled by Allison N. Miller.

• Indigenous Mathematicians
• Lathisms
• Living Proof: Stories of Resilience Along the Mathematical Journey
• Mathematically Gifted and Black
• Meet a Mathematician!
• Spectra

Ethics in mathematics

• A list of resources compiled by Allison N. Miller
• An article written by Allison N. Miller about a mini-seminar she ran
• A reading list compiled by Claudio Gomez-Gonzales

Public course notes

These are links to course notes that other people have made available via their websites that I have found particularly useful!

• Introduction to Mathematical Structures (Claudio Gomez-Gonzales, Carleton College) This course is the bridge from linear algebra and calculus to upper-level undergrad courses. It teaches proof techniques, set theory, and logic and introduces basic ideas from algebra and analysis.

Where should I look for conferences/summer schools/workshops?

• The Combinatorics Calendar (maintained by Katie Waddle)
• Doug West's list of combinatorics conferences
• Janos Pach's conference list
• Czech Summer School on Discrete Mathematics
• Subscribe to the DMANET mailing list
• AMS Mathematics Calendar
• American Institute of Mathematics
• SLMath

Useful tools/webpages

• Combinatorial Object Server: http://combos.org/
• FindStat: https://www.findstat.org/
• Online Encyclopedia of Integer Sequences: https://oeis.org/
• arXiv: https://arxiv.org/
• Combinatorics Discord: Combinatorics Online