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59
Slick proof?: A vector space has the same dimension as its dual if and only if it is finite dimensional
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What are your favorite instructional counterexamples? (2)
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Knuth’s intuition that Goldbach might be unprovable
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Why do we care about the Hilbert scheme of points?
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Ways to prove the fundamental theorem of algebra
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Pedagogical question about linear algebra
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Interesting results in algebraic geometry accessible to 3rd year undergraduates
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Examples of the moduli space of X giving facts about a certain X
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Integer points (very naive question)
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What is the Cayley projective plane?
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Free, high quality mathematical writing online?
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When do divisors pull back?
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Is a ‘generic’ variety nonsingular? Or singular?
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Is Hartshorne’s definition of the category of varieties natural?
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If $f$ is infinitely differentiable then $f$ coincides with a polynomial
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Hodge Index theorem for Complex Manifolds
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Collecting proofs that finite multiplicative subgroups of fields are cyclic.
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Is there a Whitney Embedding Theorem for non-smooth manifolds?
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The definition of homotopy in algebraic topology
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Origins of names of algebraic structures
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What are examples of mathematical concepts named after the wrong people? (Stigler’s law)
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blowing up, -1 curves, effective and ample divisors
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K3 surface of genus 8
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Looking for an introductory textbook on algebraic geometry for an undergraduate lecture course
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Examples of common false beliefs in mathematics.
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On proving that a certain set is not empty by proving that it is actually large
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Math puzzles for dinner
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Why nilpotent elements must be allowed in modern algebraic geometry?
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Identifying the orientation bundle uniquely
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