Past Projects for Mathematics 361
 Factorization of Ideals in a Number Ring, by Jack Barker
 Elliptic Curves and Rational Solutions to y^2=x^3+k, by Brett
Beutell
 Modular Forms, Bernoulli Numbers, and Ramanujan's Tau Function, by
Skye Binegar
 Primality Certification With Elliptic Curves, by Ben Black
 QR Codes, by Henry Blanchette
 Gauss' Class Number Problems and the Determination of Imaginary
Quadratic Fields With Class Number One, by Maxine Calle
 LLL Reduction and PoorYuen Reduction, by Cole Campton
 The Artin Symbol and Abelian Polynomials, by David Carlip
 Finiteness of Ideal Class Groups Via Minkowski Theory, by Max
Carpenter
 Glimpse of the Proof of the Prime Number Theorem, by Victor Chen
 Stirling Numbers and PolyBernoulli Numbers, by Xinling Chen
 Gauss' Class Number Problem, the Heegner Numbers, and Euler's
Lucky Numbers, by Chloe Cornell
 Real Quadratic Fields and Pell's Equation, by Charlie Delano
 An Introduction to Modular Forms and Their Number Theoretic
Significance, by Max Del Giudice
 Additive Combinators, by June Duvivier
 Chains: padic Numbers, NewtonHensel, Newton Polygon, by Yuan
Fang
 The Analytic Continuation of L(E,s), by Emma Furth
 The ReedSolomon Code's Application in QR Codes, by Ashvin Ganesan
 Hadamard Factorization of the EulerRiemann Zeta Function, by
Forrest Glebe
 Pell's Equation, by Evan Griggs
 Absolute Values and the HasseMinkowski Theorenm, by Julian Haft
 The Genus of X_0(p), by Daniel Herman
 Unique Factorization of Ideals in Number Rings, by Austin Humphrey
 Complementary Sequences, by Benjamin Hunter
 Some Factorization Algorithms, by Palak Jain
 Hilbert's Theorem 90 and a Glimpse At Group Cohomology, by Sam
Johnston
 The Zeros of the EulerRiemann Zeta Function, by Zeki Kazan
 The padic Numbers and the padic Lfunction, by Chris Keane
 The Eisenstein Reciprocity Law, by Mason Kennedy
 Unique Factorization of Ideals and the Dedekind Zeta Function, by
Jesse Kim
 Elliptic Curves Over Finite Fields, by Mason Koch
 The HasseMinkowski Theorem, by Aron Kunofsky
 Construction of the Adeles, by Mikhail Lepilov
 The HasseMinkowski Theorem, by Astrid Lilly
 Primitive RootProducing Quadratics, by Henry Lindeman
 Gaussian Integers, by Will Lum
 The Frobenius Automorphism, by Laura Lyman
 Cubic Surfaces and the BrauerManin Obstruction, by Ethan MacBrough
 The Utility of Characterizing Properties, by Florian Meister
 History of AES Encryption, by Quinn Morgan
 Fermat Numbers and Select Properties, by Xavier Nason
 The Twin Primes Conjecture, by Nicole Niesen
 Elliptic Curves, Finite Fields, and Factorization, by Maxim Novak
 Primality Tests and Applications in Cryptography, by Julia O'Beirne
 Algebraic Number Fields Through General Algebraic Extensions, by
Sean O'Donnell
 A Brief Introduction to Modular Forms, by Blaze OkonogiNeth
 Modelocking in Nonlinear Coupled Oscillations, by Ivy Queen
 Linear Representations, Characters, and Dn, by Benjamin Schloesser
 Dirichlet's Unit Theorem, by Mark Schultz
 Number Theory in Error Detection Schemes, by Adam Snelling
 On Perfect Numbers and the EuclidEuler Theorem, by Ava Sorgman
 An Introduction to Modular Forms, by Peihua Su
 A Discussion of Frye's Algorithm For Biquadratic Counterexamples
to Euler's Conjecture, by Matyas Szabo
 Mordell's Theorem, by Darko Trifunovski
 Elliptic Curves, by Mark Walth
 Pseudoprimes, Carmichael Numbers, and Fermat Factorization, by
Daniel Wang
 The Eisenstein Reciprocity Law, by Sharon Wang
 Crash Course in Adelic Analysis, by Andrew Warren
 Algebraic Introduction to the padic, by Riley Waugh
 The Group Law of an Elliptic Curve, by Sara Weinstein
 Properties of the Eisenstein Integer Ring, by Grayson White
 ReedSolomon Code in QR Code, by Louise Xu
 Modular Forms and Elliptic Curves, by Lixing Yi
 Rational Points on Elliptic Curves, by Kuai Yu
 Hilbert's Theorem 90 and Group Cohomology, by George Zhao
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