Papers for Euler Circle number theory, Fall 2023
Advaith Mopuri:
The LLL algorithm
Agastya Goel:
Farey sequences and the Stern-Brocot tree
Anay Aggarwal:
Pseudorandom number generation modulo
m
Andrea Schefer:
Proof of quadratic reciprocity
Aranya Karighattam:
Continued fractions and Pell equations
Christian Zhou-Zheng:
On elliptic curve cryptographic protocols
Dallas Anderson:
Exploring different primality tests
Grace Howard:
Public-key cryptography
Jihan Lee:
Elliptic curves
Jiwu Jang:
A gentle introduction to arithmetic dynamics
Joshua Koo:
Introduction to elliptic curve cryptology
Julian Schennach:
Linear congruential generators
Matthew Leung and Satvik Balakrishnan:
Public key cryptography
Mehaan Sibal:
The effect of quantum computing on cryptography
Nandana Madhukara:
An introduction to the geometry of numbers
Nathan Shkolnik:
Arithmetic dynamics
Navvye Anand:
Upper bounds for Mordell equations
Neil Krishnan, Sambhu Ganesan, and Isaac Sun:
LLL algorithm
Nikhil Reddy:
Pell's equations
Om Mahesh:
Alice, Bob, and cryptography
Peter Powell and Tejo Madhavarapu:
Integral points in the orbits of rational functions
Pranav Vijay:
Primality testing and applications
Rishabh Venkataramani:
Public key cryptography
Roland Acra:
Ideal class groups -- an introduction
Sammy Ross:
The Mordell-Weil Theorem
Sanchay Devnath:
Primality testing and factoring algorithms
Shihan Kanungo:
Arithmetic dynamics
Sounak Bagchi:
Farey sequences
Stephen Zhou:
Universal diagonal quaternary forms
Tarun Rapaka:
On Farey sequences and their applications
Trisha Sabadra:
Elliptic-curve cryptography
Xinke Guo-Xue:
Primality testing and factorization algorithms