• Darrin Doud
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Darrin Doud

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

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

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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.

15. p-adic properties of coefficients of weakly holomorphic modular forms
    with Paul Jenkins
    International Mathematics Research Notices, 2010:16 (2010), 3184-3206.

16. Two-divisibility of coefficients of certain weakly holomorphic modular forms
    with Paul Jenkins and John Lopez,
    The Ramanujan Journal, 28 (2012), 89-111.

17. Reducible Galois representations and the homology of GL(3,Z)
    with Avner Ash
    International Mathematics Research Notices, 2014:5 (2014), 1379-1408.

18. Proof of a conjecture of Wong concerning octahedral Galois repesentations of prime power conductor
    with Kevin Childers
    Journal of Number Theory, 154 (2015), 101-104.

19. Highly reducible Galois representations attached to the homology of GL(n,Z)
    with Avner Ash
    Proceedings of the AMS, 143 (2015), 3801-3813.

20. Relaxation of strict parity for reducible Galois representations attached to the homology of GL(3,Z)
    with Avner Ash
    International Journal of Number Theory, 12 (2016), 361-381.

21. Octahedral extensions with a given cubic subfield
    with Kevin Childers
    Journal of Number Theory, 167 (2016), 141-146.
    
22. Galois representations attached to tensor products of arithmetic cohomology
    with Avner Ash
    Journal of Algebra, 465 (2016), 81-99.
23. Reducible Galois representations and arithmetic homology for GL(4)
    with Avner Ash
    Annales mathématiques Blaise Pascal, 25 (2018), 207-246.
24. Even Galois representations and the cohomology of GL(2,Z)
    with Avner Ash
    Annales mathématiques du Québec, 43 (2019), 1-35.
25. Sums of Galois representations and arithmetic homology
    with Avner Ash
    Transactions of the AMS, 373 (2020), 273-293.
26. Totally p-adic algebraic numbers of degree 4
    with Melissa Ault
    Rocky Mountain Journal of Mathematics, 53(2) (2023), 335-340.
27. The Lyndon-Hochschild-Serre spectral sequence for a parabolic subgroup of GL_n(Z)
    with Avner Ash
    Journal of Algebra, 641 (2024), 216-227.
28. Sums of two irreducible Galois representations and the homology of GL_n(Z)
    with Avner Ash
    in review.