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Brigham Young University
Math Department

Darrin Doud

214 TMCB
Department of Mathematics
Brigham Young University
Provo, UT 84602
phone:(801)422-1204
fax:(801)422-0504
e-mail:

Education

  • BS (Mathematics) 1992, Brigham Young University
  • MS (Mathematics) 1993, Brigham Young University
  • MS (Teaching Mathematics) 1999, University of Illinois at Urbana-Champaign
  • Ph.D. (Mathematics) 1999, University of Illinois at Urbana-Champaign

Positions

  • NSF Postdoctoral Research Fellow, Harvard University, 1999-2001
  • Assistant Professor, Brigham Young University, 2001-2007
  • Associate Professor, Brigham Young University, 2007-2012
  • Professor, Brigham Young University, 2012-present
  • Associate Chair, Department of Mathematics, Brigham Young University, 2011-2014
  • Associate Chair, Department of Mathematics, Brigham Young University, 2015-2016

Research 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 pKs 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 GLn(Z)
    with Avner Ash
    Journal of Algebra, 641 (2024), 216-227.

  28. Sums of two irreducible Galois representations and the homology of GLn(Z)
    with Avner Ash
    in review.

Textbooks

  1. A Transition to Advanced Mathematics
    with Pace P. Nielsen
    Available at Lulu.com, 2024.

Awards and Grants

  • 1993: Incomplete List of Teachers Ranked Excellent by Their Students
  • 1994-1997: National Needs Fellowships
  • 1998: Hohn-Nash Award in Scientific Computing
  • 1998: Irving W. Reiner Memorial Award in Algebra
  • 1999: Incomplete List of Teachers Ranked Excellent by Their Students
  • 1999: University of Illinois Mathematics Department Teaching Award
  • 1999: National Science Foundation Postdoctoral Research Fellowship
  • 2002: BYU Faculty Center Course Development Grant
  • 2005: NSA Young Investigator's Grant
  • 2006: BYU Mathematics Department Distinguished Teaching Award
  • 2008: BYU Mathematics Department Distinguished Citizenship Award
  • 2008: Brigham Young University Alcuin Fellowship
  • 2009: BYU College of Physical and Mathematical Sciences, Outstanding Teaching Award for faculty with 3-10 years service.
  • 2009: Savage Foundation Distinguished Teaching Award
  • 2010: Number Theory Foundation Grant to support the Western Number Theory Conference
  • 2013: NSA Grant to support the 2014 Automorphic Forms Workshop
  • 2014: NSF Grant to support the 2014 Automorphic Forms Workshop
  • 2015: BYU Mathematics Department Distinguished Teaching Award
  • 2017: BYU Mathematics Department Distinguished Citizenship Award
  • 2019: BYU College of Physical and Mathematical Sciences, Outstanding Teaching Award for faculty with 10 or more years service.
  • 2020: NSA Grant to support the 2021 Automorphic Forms Workshop
  • 2020: NSF Grant to support the 2021 Automorphic Forms Workshop
  • 2021: BYU Lawrence K. Egbert Teaching and Learning Faculty Fellowship

Graduate Students Supervised

  • Michael W. Moore, M.S. 2004
  • Glen Simpson, M.S. 2004
  • Brian Hansen, M.S. 2005
  • Heather Florence, M.S 2005
  • Jon Blackhurst, M.S. 2006
  • Wayne Rosengren, M.S. 2008
  • Brian Hansen, Ph.D. 2010
  • Ka Lun Wong, M.S. 2011
  • Vinh Dang, M.S. 2011
  • Wil Cocke, M.S. 2014
  • Joseph Adams, M.S. 2014
  • Kevin Childers, M.S. 2015
  • Pablo Rodriguez, M.S. 2021
  • Melissa Ault, M.S. 2021

Conferences and Seminars Attended

* indicates that I gave a talk, ♦ indicates that I was an organizer.
  • Halberstam Conference, Urbana, IL, May 1995
  • *Magma Mini-conference, Montreal, Canada, July 1995
  • Fermat's Last Theorem Conference, Boston, MA, Aug. 1995
  • *Fourth Annual Midwest Algebraic Number Theory Day, Urbana, IL, Mar. 1997
  • *AMS Special Session on Number Theory, Chicago, IL, Sep. 1998
  • *AMS Special Session on Galois Representations, Urbana, IL, Mar. 1999
  • *Ohio State University Number Theory Seminar, Columbus, OH, Nov. 1999
  • *Harvard University Number Theory Seminar, Boston, MA, Feb. 2000
  • *Brigham Young University Mathematics Colloquium, Provo, UT, Mar. 2000
  • *Millennial Conference on Number Theory, Urbana, IL, May 2000
  • *Boston College Number Theory Seminar, Boston, MA, Nov. 2000
  • *Ohio State University Number Theory Seminar, Columbus, OH, Apr. 2001
  • *California Institute of Technology Number Theory Seminar, Pasadena, CA, May 2002
  • *AMS Special Session on Analytic Number Theory, Salt Lake City, UT, Oct. 2002
  • *AMS Special Session, Madison, WI, Oct. 2002
  • *West Coast Number Theory Conference, San Fransisco, CA, Dec. 2002
  • *Wesleyan University Number Theory Seminar, Middletown, CT, April 2004
  • *Illinois Number Theory Conference, Urbana, IL, May 2004
  • *Canadian Number Theory Association VIII Meeting, Toronto, Canada, July 2004
  • *AMS Special Session on Modularity of Galois Representations, Pittsburgh, PA, Nov. 2004.
  • *West Coast Number Theory Conference, Las Vegas, NV, Dec. 2004
  • *Southeast Regional Meeting on Numbers (SERMON 2005), Columbia, SC, April 2005
  • *Wesleyan University Number Theory Seminar, Middletown, CT, April 2005
  • *Workshop on Automorphic Forms, Modular Forms and related moduli spaces, Rome, Italy, Sep. 2005
  • *West Coast Number Theory Conference, Monterey, CA, Dec. 2005
  • Pacific Northwest Number Theory Conference, Redmond, WA, Feb. 2006
  • *Southeast Regional Meeting on Numbers (SERMON 2006), Greenville, SC, March 2006
  • *Canadian Number Theory Association IX Meeting, Vancouver, Canada, July 2006
  • *AMS Special Session on Number Theory, Salt Lake City, UT, October 2006
  • *University of Illinois Number Theory Fest, Urbana, IL, May 2007
  • *West Coast Number Theory Conference, Monterey, CA, Dec. 2007
  • *Canadian Number Theory Association X Meeting, Waterloo, Canada, July 2008
  • *Western Number Theory Conference, Fort Collins, CO, Dec. 2008
  • *Wesleyan University Algebra Seminar, Middletown, CT, March 2009
  • *23rd Annual Workshop on Automorphic Forms and Related Topics, Lewisburg, PA, March 2009
  • *2009 Intermountain Sectional Meeting of the MAA, Provo, UT, March 2009
  • Illinois Number Theory Celebration, Urbana, IL, March 2009
  • *Spring 2009 Central Section Meeting of the AMS, Urbana, IL, March 2009
  • ♦Summer Graduate Workshop on Zeta Functions, L-functions and Applications, Orem, UT, June 2009
  • *West Coast Number Theory Conference, Monterey, CA, Dec. 2009
  • *Second Wesleyan Conference on Cohomology of Arithmetic Groups, Middletown, CT, July 2010
  • *Canadian Number Theory Association XI Meeting, Wolfville, Canada, July 2010
  • ♦Western Number Theory Conference 2010, Orem, UT, Dec 2010
  • *Utah Valley University Mathematics Department Colloquium, Orem, UT, March 2011
  • Workshop on Torsion in the homology of arithmetic groups, Banff, Canada, July 2012
  • ♦AMS Special Session on Homology and Cohomology of Arithmetic Groups, Boston, MA, April 2013
  • ♦*28th Annual Workshop on Automorphic Forms and Related Topics, Moab, UT, May 2014
  • *2015 Intermountain Sectional Meeting of the MAA, Provo, UT, March 2015
  • *Canadian Number Theory Association XV Meeting, Québec City, Canada, July 2018
  • ♦34th Automorphic Forms Workshop, Provo, Utah (online Conference), March 2022

Maintained by Darrin Doud.

Copyright © 1994-2009. Brigham Young University Department of Mathematics. All Rights Reserved.

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