Pursuing the Beauty of Numbers, Evan M. O'Dorney, GS (2306680)

From Research Princeton Research Day April 29th, 2021

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In my work in number theory, I explore patterns in numbers, specifically counting the equations with integer coefficients with a given discriminant. I am studying the Ohno-Nakagawa theorem, a mysterious pattern in these counts for 3rd-degree equations. Using old and new techniques, I'm getting to the root of why these patterns appear and am close to proving a corresponding pattern for 4th-degree equations. Patterns like this have been studied and loved for centuries and now are sometimes gaining applications in cryptography.

Speaker: Evan M. O'Dorney, GS
Department: Mathematics
Appears In: Princeton Research Day 2021

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Pursuing the Beauty of Numbers, Evan M. O'Dorney, GS (2306680)

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