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Splash Biography

KAIVALYA KULKARNI, Aspiring Math Major

Major: Mathematics

College/Employer: Princeton

Year of Graduation: 2026

Picture of Kaivalya Kulkarni

Brief Biographical Sketch:

Not Available.

Past Classes

  (Clicking a class title will bring you to the course's section of the corresponding course catalog)

M764: A special case of Fermat's Last Theorem in Splash 2023 (Apr. 22, 2023)
In this course, we will investigate Fermat's Last Theorem in the special case of $$n = 3$$. First, we will give a (relatively) elementary proof, based on factorization in number fields. Later, we will develop the basic theory of elliptic curves to study the more general problem of finding rational points on elliptic curves, which may be applied to prove Fermat's Last Theorem in the case $$n = 3$$.