Erdős Number

Currently, my Erdős number is 5.

Links & Resources

Useful Course Materials

• Some Materials for the Graduate Algebra Course
• Community translation (French to English) of A. Grothendieck’s EGA.
• A Companion to Lang’s Algebra
• The HoTT Book
• Milne’s Course Notes
• Topology: A Categorical Approach
• The Stacks Project
• Terence Tao’s Blog
• The HoTTest Summer School
• Richard Borcherds’s Youtube Channel
• Billy Woods’ Videos on Algebraic Number Theory
• Kerodon

Tools

• The L-functions and modular forms database (LMFDB)
• Diagram Editors:
  • Quiver
  • Tikzcd
• Knot Info
• Knotfolio
• Univalent mathematics in Agda
• Manim (Community Version)
• 1Lab
• Theorem Proving in Lean
• researchseminars.org
• List of REUs
• Database of Ring Theory
• GroupNames
• nLab
• (Mathematics) Collaboration Distance Calculator

A Few MathOverflow/StackExchange Posts

• How do I sell out with abstract algebra?
• On Ph.D. Qualifying Exams
• The Langlands program for beginners
• Can someone explain the Yoneda Lemma to an applied mathematician?/“Philosophical” meaning of the Yoneda Lemma/What is Yoneda’s Lemma a generalization of?
• Is Serge Lang’s Algebra still worth reading?
• Examples of morphisms of schemes to keep in mind?
• How to develop intuition in topology?
• Examples of common false beliefs in mathematics
• How to memorise (understand) Nakayama’s lemma and its corollaries?
• Ways to prove the fundamental theorem of algebra
• Short exact sequences every mathematician should know
• Most interesting mathematics mistake?/What are your favorite instructional counterexamples?/Counterexamples in algebra?
• Unnecessary uses of the axiom of choice/Simpler proofs using the axiom of choice
• “Pick up a homological algebra book and prove all of the theorems yourself” (exercise from Lang’s Algebra)
• Sheafification - Why does twice suffice?
• Has anyone found an error in an early version of Neukirch?
• Outline for reading course in algebraic topology

Others

• Yoneda’s Story
• The “What Is…?” column
• xkcd
• MacTutor History of Mathematics Archive, and in particular
  • Hermann Weyl’s speech at Emmy Noether’s funeral
• The Springer GTM Test
• The proof is trivial!
• Mathematics Genealogy Project, a few profiles I helped filling out:
  • Edward Frenkel
  • Mason Osborne
  • Teruhisa Matsusaka
• Posters by Anatoly Fomenko
• Natural Number Game
• Proof Techniques
• The Transition from Grad Student to Assistant Professor
• Proofs of the Fundamental Theorem of Algebra
• The Map of Mathematics
• Making Music
• All things Linguistic
• Scorigami
• Conway’s Game of Life
• Ken Ribet’s love note from Serge Lang
• Snake-fighting
  • FAQ: The “Snake Fight” Portion of Your Thesis Defense by Luke Burns
  • RE: Thesis defense issue by kalirush, a transformative work based on the work above.