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Topics for an Undergraduate Expository Paper in Number Theory
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What elementary problems can you solve with schemes?
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Generalize the Proj construction?
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Global sections of $\Omega^{1} \otimes \mathcal{O} (2)$ over $\mathbb{CP}^{2}$
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Algebraic geometry examples
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Quasi-coherent sheaves in the Functor-of-points approach
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Which math paper maximizes the ratio (importance)/(length)?
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Why does one think to Steenrod squares and powers?
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Fundamental Examples