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 Poor-Yuen 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 Poly-Bernoulli Numbers, by Xinling Chen
- An Introduction to Modular Forms and Their Number Theoretic
Significance, by Max Del Giudice
- Chains: p-adic Numbers, Newton-Hensel, Newton Polygon, by Yuan
Fang
- The Analytic Continuation of L(E,s), by Emma Furth
- Hadamard Factorization of the Euler-Riemann Zeta Function, by
Forrest Glebe
- Pell's Equation, by Evan Griggs
- Absolute Values and the Hasse-Minkowski 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 Euler-Riemann Zeta Function, by Zeki Kazan
- The p-adic Numbers and the p-adic L-function, 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
- Construction of the Adeles, by Mikhail Lepilov
- The Hasse-Minkowski Theorem, by Astrid Lilly
- Primitive Root-Producing Quadratics, by Henry Lindeman
- Gaussian Integers, by Will Lum
- The Frobenius Automorphism, by Laura Lyman
- History of AES Encryption, by Quinn Morgan
- The Twin Primes Conjecture, by Nicole Niesen
- Elliptic Curves, Finite Fields, and Factorization, by Maxim Novak
- Algebraic Number Fields Through General Algebraic Extensions, by
Sean O'Donnell
- A Brief Introduction to Modular Forms, by Blaze Okonogi-Neth
- Linear Representations, Characters, and Dn, by Benjamin Schloesser
- Dirichlet's Unit Theorem, by Mark Schultz
- On Perfect Numbers and the Euclid-Euler 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 p-adic, by Riley Waugh
- The Group Law of an Elliptic Curve, by Sara Weinstein
- Properties of the Eisenstein Integer Ring, by Grayson White
- Reed-Solomon Code in QR Code, by Louise Xu
- Rational Points on Elliptic Curves, by Kuai Yu
- Hilbert's Theorem 90 and Group Cohomology, by George Zhao
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