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Author:
William A. Stein
William Stein's Student projects
William Stein:
Student Projects
Student Projects and Senior Theses I've Directed
Math 581g (Modular Forms), Fall 2011, Final Projects
Math 480 (Sage) during Spring 2011
Kevin Stueve's writeup of his project on computing the primes up to X
Math 583e -- computational number theory projects on integer factorization
Chris Swierczewski's senior thesis (2008) on
Connections Between the Riemann Hypothesis and the Sato-Tate Conjecture
Emily Kirkman's senior thesis (2008) on Eisenstein Reciprocity
Math 168 Final Projects (UC San Diego)
The summer of arithmetic geometry experience projects
Andrei Jorza's senior thesis
The Birch and Swinnerton-Dyer Conjecture for Abelian Varieties over Number Fields
[
pdf
]
Daniellie Li's senior thesis
Proving Mordell-Weil: A Descent in Three Parts
[
pdf
]
Jayce Getz's senior thesis
Classical and
p
-adic modular forms arising from the Borcherds exponents of other modular forms
[
pdf
dvi
]
Dimitar Jetchev's
senior thesis
Visibility of Shafarevich-Tate Groups
[
pdf
dvi
tex
]
Seth Kleinerman's senior thesis
Torsion points on elliptic curves and modular abelian varieties
[
pdf
dvi
tex
] (Note: This paper references Seth's Junior Project [
pdf
dvi
tex
])
Four Math 252
Final projects about abelian varieties
by Seth Kleinerman, Jen Balakrishnan, Dimitar Jetchev, and Tseno Tselkov
Math 129
Final Projects
The Smallest Conductor of an Elliptic Curve of Rank Four is Composite
, by Jennifer Balakrishnan and Andrei Jorza. (Summer 2003 HCRP).
Peter Hawthorne's
Junior Paper on
Bezout's Theorem
(Also the
latex file
.)
John Gregg's
Senior Thesis
On Factoring Integers and Evaluation of Discrete Logs
Ariel Shwayder's
Junior Project on "Visualizing L(E,s)"
Chris Mihelich's senior thesis on partition functions and modular forms
David Speyer's senior thesis on modular forms and modular symbols