Darrin Doud
314 TMCB Department of Mathematics Brigham Young University Provo, UT 84602 | | |
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-present
Publications
- A procedure to calculate torsion of elliptic curves over Q
Manuscripta Mathematica 95(1998), 463-469.
- S4 and S~4 extensions of Q ramified at only one prime
Journal of Number Theory 75(1999), 185-197.
- Three-dimensional Galois representations with conjectural connections to arithmetic cohomology
in Number Theory for the Millenium, A.K. Peters, Boston, 2002, 365-375.
- Galois representations with conjectural connections to arithmetic cohomology
with Avner Ash and David Pollack
Duke Mathematical Journal 112(2002), 521-579.
- Wild ramification in number field extensions of prime degree
Archiv der Mathematik 81 (2003), 646-649.
- Wildly ramified Galois representations and a generalization of a conjecture of Serre
Experimental Mathematics 14:1 (2005), 119-127.
- Even icosahedral Galois representations with prime conductor
with Michael W. Moore
Journal of Number Theory 118:1, (2006), 62-70
- 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.
- 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.
- Supersingular Galois representations and a generalization of a conjecture of Serre
Experimental Mathematics 16:1 (2007), 119-128
- Distinguishing contragredient Galois representations in characteristic two
Rocky Mountain Journal of Mathematics 38:3 (2008), 835-848.
- Local corrections of discriminant bounds and small degree extensions of quadratic base fields
with Sharon Brueggeman
International Journal of Number Theory (2007) to appear.
- Finding Galois representations corresponding to certain Hecke eigenclasses
with Meghan DeWitt
International Journal of Number Theory (2007) to appear.
- Reducible three-dimensional Galois representations and boundary cohomology
In preparation
Awards and Grants
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
Conferences and Seminars Attended
* indicates that I gave a talk.
- *West Coast Number Theory Conference, Manterey, CA, Dec. 2007
- *University of Illinois Number Theory Fest, Urbana, IL, May 2007
- *AMS Special Session on Number Theory, Salt Lake City, UT, October 2006
- *Canadian Number Theory Association IX Meeting, Vancouver, CA, July 2006
- *Southeast Regional Meeting on Numbers (SERMON 2006), Greenville, SC, March 2006
- Pacific Northwest Number Theory Conference, Redmond, WA, Feb. 2006
- *West Coast Number Theory Conference, Monterey, CA, Dec. 2005
- *Workshop on Automorphic Forms, Modular Forms and related moduli spaces, Rome, Italy, Sep. 2005
- *Wesleyan University Number Theory Seminar, Middletown, CT, April 2005
- *Southeast Regional Meeting on Numbers (SERMON 2005), Columbia, SC, April 2005
- *West Coast Number Theory Conference, Las Vegas, NV, Dec. 2004
- *AMS Special Session on Modularity of Galois Representations, Pittsburgh, PA, Nov. 2004.
- *Canadian Number Theory Association XIII Meeting, Toronto, Canada, July 2004
- *Illinois Number Theory Conference, Urbana, IL, May 2004
- *Wesleyan University Number Theory Seminar, Middletown, CT, April 2004
- *West Coast Number Theory Conference, San Fransisco, CA, Dec. 2002
- *AMS Special Session, Madison, WI, Oct. 2002
- *AMS Special Session on Analytic Number Theory, Salt Lake City, UT, Oct. 2002
- *California Institute of Technology Number Theory Seminar, Pasadena, CA, May 2002
- *Ohio State University Number Theory Seminar, Columbus, OH, Apr. 2001
- *Boston College Number Theory Seminar, Boston, MA, Nov. 2000
- *Millennial Conference on Number Theory, Urbana, IL, May 2000
- *Brigham Young University Mathematics Colloquium, Provo, UT, Mar. 2000
- *Harvard University Number Theory Seminar, Boston, MA, Feb. 2000
- *Ohio State University Number Theory Seminar, Columbus, OH, Nov. 1999
- *AMS Special Session on Galois Representations, Urbana, IL, Mar. 1999
- *AMS Special Session on Number Theory, Chicago, IL, Sep. 1998
- *Fourth Annual Midwest Algebraic Number Theory Day, Urbana, IL, Mar. 1997
- Fermat's Last Theorem Conference, Boston, MA, Aug. 1995
- *Magma Mini-conference, Montreal, Canada, July 1995
- Halberstam Conference, Urbana, IL, May 1995