Writeups for Euler Circle Number Theory, Fall 2018
Abhishek Rengarajan:
Pell equations
Albert Tam:
Elliptic curves and Diophantine equations
Alexa Wingate and Sarah Fujimori:
Primality tests and factoring algorithms
Alex Tholen and Karthik Balakrishnan:
Farey sequences
Antarish Rautela:
Proofs of the quadratic reciprocity theorems
Arjun Venkatraman:
Ideal class groups
Ashwin Rajan:
Public key cryptography
Ethan Yang:
The Stern-Brocot tree
Jonathan Sy:
Proof of Lagrange's 3-square theorem and other related results
Kevin Xu:
Sums of two squares in different rings
Lorenzo Wolczko and Sophia Wolczko:
Continued fractionas
Rushil Saha:
Public key cryptography
Shaunak Bhandarkar:
From Hilbert class field theory to complex multiplication
Siddharth Srinivasan:
Wolstenholme-Jacobsthal congruence, Wolstenholme's theorem
Varun Srivastava and Sanjay Gollapudi:
Pisot numbers