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Presented By: Math Undergraduate Seminar - Department of Mathematics

Math Undergraduate Seminar: Modular Curves and Moduli Spaces

Timothy Cheek

For motivation, we discuss elliptic curves and equivalent characterizations. We then discuss modular curves and their use in studying points on elliptic curves. After briefly touching on the modularity theorem, we turn to moduli spaces as a way of studying more general genus g curves. If time permits, we'll touch on moduli stacks and, more generally, algebraic stacks.

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