William Stein: Student Projects

Student Projects and Senior Theses I've Directed

1. Andrei Jorza's senior thesis The Birch and Swinnerton-Dyer Conjecture for Abelian Varieties over Number Fields [pdf]
2. Daniellie Li's senior thesis Proving Mordell-Weil: A Descent in Three Parts [pdf]
3. Jayce Getz's senior thesis Classical and p-adic modular forms arising from the Borcherds exponents of other modular forms [pdf  dvi]
4. Dimitar Jetchev's senior thesis Visibility of Shafarevich-Tate Groups [pdf  dvi   tex]
5. 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])
6. Four Math 252 Final projects about abelian varieties by Seth Kleinerman, Jen Balakrishnan, Dimitar Jetchev, and Tseno Tselkov
7. Math 129 Final Projects
8. The Smallest Conductor of an Elliptic Curve of Rank Four is Composite, by Jennifer Balakrishnan and Andrei Jorza. (Summer 2003 HCRP).
9. Peter Hawthorne's Junior Paper on Bezout's Theorem (Also the latex file.)
10. John Gregg's Senior Thesis On Factoring Integers and Evaluation of Discrete Logs
11. Ariel Shwayder's Junior Project on "Visualizing L(E,s)"
12. Chris Mihelich's senior thesis on partition functions and modular forms
13. David Speyer's senior thesis on modular forms and modular symbols