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Notes

Notes on various topics in mathematics. Corrections and comments welcome.

Completed Notes

Construction and Analysis of the Modular Curve X0(2)Constructs X0(2) as a compact Riemann surface, shows it has genus 0, and writes down an explicit model over ℚ describing the elliptic curves with a rational 2-isogeny.
Notes on Meromorphic Differentials and Riemann–RochNotes from a 2023 presentation for the UConn Number Theory Reading Group. Reference: Diamond and Shurman, “A First Course in Modular Forms.”

Notes in Progress

Class Field Theory: The BasicsNotes on the basics of class field theory.