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281 answers

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big-list mathematics-education

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Video lectures of mathematics courses available online for free

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anonymous

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58 votes

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Examples of common false beliefs in mathematics

Video lectures of mathematics courses available online for free

Best algebraic geometry textbook? (other than Hartshorne)

Books you would like to read (if somebody would just write them...)

Great graduate courses that went online recently

Most memorable titles

Why study Lie algebras?

Is Fourier analysis a special case of representation theory or an analogue?

Should the formula for the inverse of a 2x2 matrix be obvious?

Where are mathematics jobs advertised if not on mathjobs (e.g. in Europe and elsewhere)?

The concept of duality

How has modern algebraic geometry affected other areas of math?

What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field?

What is the motivation for a vertex algebra?

Algebraic geometry examples

What is an intuitive view of adjoints? (version 1: category theory)

Life after Hartshorne (the book, not the person)...

Good introductory references on algebraic stacks?

Double affine Hecke algebras and mainstream mathematics

Why do Todd classes appear in Grothendieck-Riemann-Roch formula?

Learning Class Field Theory: Local or Global First?

Beautiful descriptions of exceptional groups

Open affine subscheme of affine scheme which is not principal

What are dessins d'enfants?

What role does the "dual Coxeter number" play in Lie theory (and should it be called the "Kac number")?

Which philosophy for reductive groups?

What out-of-print books would you like to see re-printed?

Good algebraic number theory books

Why is the definition of the higher homotopy groups the "right one"?

What is a good introductory text for moduli theory?