MATH 7359 — Elliptic Curves and Modular Forms

4 semester hoursGraduateLecturetypical days: M/ThBostonTraditional

Introduces elliptic curves and modular forms. Examines elliptic curves as algebraic varieties over the complex numbers, finite fields, and local and global fields. Related topics include the j-invariant, the Tate module and the Weil pairing, zeta functions and the Weil conjectures, and the Mordell-Weil theorem. Modular forms are defined on moduli spaces of elliptic curves. Related topics include Eisenstein series, cusp forms, congruence subgroups of SL2(Z), modularity and the Taniyama-Shimura conjecture, and Fermat’s Last Theorem.

Prerequisites

Offering history

TermSectionsEnrolledCapacityFullOpen seats/section
Fall 20231122060%8.0

Snapshots from scheduled scrapes — not live seat availability. "Full" can exceed 100% when sections over-enroll.

Meeting times

Share of recent sections by weekday: M 100% · T 0% · W 0% · Th 100% · F 0%

Common patterns: MR (100% of sections) — in patterns, R means Thursday

Professors

Fall

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Links

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