Nandana Madhukara

Nandana Madhukara

High School Student

Publications

Analyzing the Effects of Fifth and Seventh Order Terms in a Generalized Hénon-Heiles Potential

Published in Applications and Applied Mathematics: An International Journal, 2024

Preprint on arXiv: https://doi.org/10.48550/arXiv.2309.03449

Recommended citation: Madhukara, Nandana (2024). (R2078) Analyzing the Effects of Fifth and Seventh Order Terms in a Generalized Henon-Heiles Potential, Applications and Applied Mathematics: An International Journal (AAM), Vol. 19, Iss. 2, Article 3.
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Expository Papers

The Wigner-Eckart Theorem

Published in MITx, 2025

This is an expository paper I wrote at the end of my MITx 8.06x Applications of Quantum Mechanics class in 2025.

Recommended citation: Madhukara, N. (2025). "The Wigner-Eckart Theorem." MITx.
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Elliptic Curve Cryptography

Published in A Math Summer Program for High School Students, 2022

This is an expository paper I wrote at the end of "A Math Summer Program for High School Students" in 2022. This was a reading program where I read A Friendly Introduction to Number Theory by Joseph Silverman with a UCSD graduate student. One of the last topics we covered was elliptic curves, so I wrote this paper after doing some research on how elliptic curves are related to cryptography.

Recommended citation: Madhukara, N. (2022). "Elliptic Curve Cryptography." A Math Summer Program for High School Students.
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