Preprints and publications are listed in reverse chronological order.

Preprints

Division polynomials with Galois group SU3(3).2 = G2(2)
pdf , 31 pages.
Accompanying Mathematica file

Hurwitz monodromy and full number fields, with Akshay Venkatesh.
pdf , 27 pages.

Chebyshev covers and exceptional number fields.
pdf , 22 pages.

Rigid Jordan tuples.
dvi ps , 17 pages.

Publications

The posts here usually differ slightly from the published versions.

25. Polynomials with prescribed bad primes
pdf , 26 pages.
To appear in International Journal of Number Theory.

24. Lightly ramified number fields with Galois group S.M12.A
pdf , 25 pages.
To appear in Journal de Théorie des Nombres de Bordeaux.

23. A database of number fields, with John Jones.
pdf , 25 pages.
To appear in London Math. Soc. Journal of Computations and Mathematics.
Database at http://hobbes.la.asu.edu/NFDB/

22. The tame-wild principle for discriminant relations for number fields, with John Jones.
pdf ,
Algebra and Number Theory 8 (2014), no. 3, 609-645.

21. Nonsolvable polynomials with field discriminant 5A
pdf
International Journal of Number Theory 7 (2011), 289-322.
File containing polynomials

20. Octic 2-adic fields, with John Jones.
pdf
Journal of Number Theory 128 (2008), 1410-1429.

19. Number fields ramified at one prime, with John Jones.
pdf
ANTS VIII, Springer Lecture Notes in Computer Sciences 5011 (2008), 226-239.

18. Intersection numbers of Heegner divisors on Shimura curves, with Kevin Keating.
pdf
Pure and Applied Mathematics Quarterly, Vol. 4 Num. 4 (2008), 1165-1204.

17. Wild partitions and number theory.
pdf, ps, dvi
Journal of Integer Sequences, Vol. 10, (2007), Article 07.6.6, 34 pages.

16. Nash equilibria in Cauchy-random zero-sum and coordination matrix games.
pdf
International Journal of Game Theory, 34 (2006), 167-184.

15. Galois number fields with small root discriminant, with John Jones.
pdf
Journal of Number Theory, 122 (2007), 379-407.

14. Fractalized cyclotomic polynomials.
pdf
Proceedings of the American Mathematical Society, 135 (2007), 1959-1967.

13. A database of local fields, with John Jones.
pdf
Journal of Symbolic Computation, Volume 41 no. 1 (2006), 80-97.
Database at http://math.la.asu.edu/~jj/localfields

12. Pure Nash equilibria of coordination matrix games.
pdf

Economics Letters, Volume 89, Issue 1 (2005), 7-11.

11. Number fields with discriminant ±2a3b and Galois group An or Sn, with Gunter Malle.
pdf
London Mathematical Society Journal of Computation and Mathematics, 8, (2005). 80-101.

10. Nonic 3-adic Fields, with John Jones.
pdf
ANTS-VI, Springer Lecture Notes in Computer Science, 3076 (2004), 293-308.

9. An ABC construction of number fields.
pdf
CNTA-VII, CRM Proceedings and Lecture Notes, 36, (2004), 237-267.

8. Frobenius classes in alternating groups.
pdf
Rocky Mountain Journal of Mathematics, Volume 34, Number 4, Winter 2004, 1483--1496.
Accompanying Mathematica file

7. Septic fields with discriminant ±2a3b, with John Jones.
ps , dvi
Mathematics of Computation, 72 (2003), 1975-1985.

6. Discriminants of some Painlevé polynomials
ps , dvi without pictures
Number Theory for the Millennium III, AK Peters, (2002) 205-221.
Accompanying Mathematica file

5. Density of cubic field discriminants.
dvi Mathematics of Computation, 70 (2001), 1699-1705

4. Sextic number fields with discriminant -j2a3b, with John Jones.
pdf
CNTA-V, CRM Proceedings and Lecture Notes, 19, (1999) 141-172.
3. Timing analysis of targeted Hunter searches, with John Jones.
ANTS-III, Springer Lecture Notes in Computer Science, 1423, (1998), 412-423.

2. Twin sextic algebras.
Rocky Mountain Journal of Mathematics, 28, (1998) 341-368.

1. Composita of sextic fields, theory and examples.
Communications in Algebra, 24, (1996) 3311-3334.

Thesis

Shimura curves analogous to X0(N).
97 pages. For a copy, e-mail me.
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