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Closed Smooth 4-Manifolds,
lecture notes from a class on constructions and obstructions for exotica, in collaboration with Elise Brod, spring 2025
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Lie Groups,
lecture notes from a class on Lie groups and Lie algebras, fall 2024
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Symplectic Topology,
lecture notes from a class on symplectic topology, fall 2023 (incomplete)
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Differential Topology,
lecture notes from the differential topology prelim class, spring 2023
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Algebraic Number Theory and Arakelov Theory,
lecture notes from a full year sequence in number theory at Berkeley, 2021
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Corks,
expository notes on the cork theorem with a view towards current research, spring 2024
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Exotic 7-Spheres,
expository notes on Milnor's construction of exotic 7-spheres, spring 2023
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Kronecker's Jugendtraum,
term paper for math 254A at Berkeley introducing the theory of complex multiplication and its main theorems, fall 2020
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Enumerative Geometry via the Chow Ring,
term paper for math 256B at Berkeley introducing the Chow ring and its combinatorial properties, spring 2020
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The Group Structure of Elliptic Curves,
term paper for math 256A at Berkeley relating the geometric group structure on an elliptic curve to its Picard group, fall 2019
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