• Darrin Doud
• Curriculum Vitae
• Research
• Publications
• Courses

Darrin Doud

314 TMCB Department of Mathematics Brigham Young University Provo, UT 84602

phone: (801)422-1204 fax: (801)422-0504 e-mail:

---

Publications

1. A procedure to calculate torsion of elliptic curves over Q
   Manuscripta Mathematica 95(1998), 463-469.

2. S₄ and extensions of Q ramified at only one prime
   Journal of Number Theory 75(1999), 185-197.

3. Three-dimensional Galois representations with conjectural connections to arithmetic cohomology
   in Number Theory for the Millenium, A.K. Peters, Boston, 2002, 365-375.

4. Galois representations with conjectural connections to arithmetic cohomology
   with Avner Ash and David Pollack
   Duke Mathematical Journal 112(2002), 521-579.

5. Wild ramification in number field extensions of prime degree
   Archiv der Mathematik 81 (2003), 646-649.

6. Wildly ramified Galois representations and a generalization of a conjecture of Serre
   Experimental Mathematics 14:1 (2005), 119-127.

7. Even icosahedral Galois representations with prime conductor
   with Michael W. Moore
   Journal of Number Theory 118:1, (2006), 62-70

8. Explicit Frobenius computations supporting a generalization of a conjecture of Serre
   with Brian Hansen
   JP Journal of Algebra, Number Theory and Applications, 6 (2006), 381-398.

9. Bond-valence methods for pK_s prediction. II. Bond-valence, electrostatic, molecular geometry, and solvation effects.
   Barry Bickmore, Kevin M. Rosso, Christopher J. Tadanier, Eric J. Bylaska and Darrin Doud
   Geochimica et Cosmochimica Acta 70 (2006), 4057-4071.

10. Supersingular Galois representations and a generalization of a conjecture of Serre
    Experimental Mathematics 16:1 (2007), 119-128

11. Distinguishing contragredient Galois representations in characteristic two
    Rocky Mountain Journal of Mathematics 38:3 (2008), 835-848.

12. Local corrections of discriminant bounds and small degree extensions of quadratic base fields
    with Sharon Brueggeman
    International Journal of Number Theory 4 (2008), 349-361

13. Finding Galois representations corresponding to certain Hecke eigenclasses
    with Meghan DeWitt
    International Journal of Number Theory 5 (2009), 1-11

14. LLL reduction and a conjecture of Gunnells
    with Russell Ricks
    Proceedings of the American Mathematical Society 138 (2010), 409-415, to appear

15. p-adic properties of coefficients of weakly holomorphic modular forms
    with Paul Jenkins
    http://arxiv.org/abs/0910.2997v1, (2009) in review.

16. Reducible three-dimensional Galois representations and boundary cohomology
    In preparation