William Stein: Student Projects

Student Projects and Senior Theses I've Directed

  1. Math 581g (Modular Forms), Fall 2011, Final Projects
  2. Math 480 (Sage) during Spring 2011
  3. Kevin Stueve's writeup of his project on computing the primes up to X
  4. Math 583e -- computational number theory projects on integer factorization
  5. Chris Swierczewski's senior thesis (2008) on Connections Between the Riemann Hypothesis and the Sato-Tate Conjecture
  6. Emily Kirkman's senior thesis (2008) on Eisenstein Reciprocity
  7. Math 168 Final Projects (UC San Diego)
  8. The summer of arithmetic geometry experience projects
  9. Andrei Jorza's senior thesis The Birch and Swinnerton-Dyer Conjecture for Abelian Varieties over Number Fields [pdf]
  10. Daniellie Li's senior thesis Proving Mordell-Weil: A Descent in Three Parts [pdf]
  11. Jayce Getz's senior thesis Classical and p-adic modular forms arising from the Borcherds exponents of other modular forms [pdf  dvi]
  12. Dimitar Jetchev's senior thesis Visibility of Shafarevich-Tate Groups [pdf  dvi   tex]
  13. 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])
  14. Four Math 252 Final projects about abelian varieties by Seth Kleinerman, Jen Balakrishnan, Dimitar Jetchev, and Tseno Tselkov
  15. Math 129 Final Projects
  16. The Smallest Conductor of an Elliptic Curve of Rank Four is Composite, by Jennifer Balakrishnan and Andrei Jorza. (Summer 2003 HCRP).
  17. Peter Hawthorne's Junior Paper on Bezout's Theorem (Also the latex file.)
  18. John Gregg's Senior Thesis On Factoring Integers and Evaluation of Discrete Logs
  19. Ariel Shwayder's Junior Project on "Visualizing L(E,s)"
  20. Chris Mihelich's senior thesis on partition functions and modular forms
  21. David Speyer's senior thesis on modular forms and modular symbols