
Papers

Computing septic
number fields, with E. Driver, J. Number Theory, to appear.

Mixed degree number field
computations, with D. Roberts, Ramanujan J., 47:1 4766 (2018). (arxiv version)

Artin Lfunctions of small
conductor, with D. Roberts, Research in Number Theory,
3:16 (2017).

A database of
number fields, with D. Roberts, LMS J. Comput. Math., 17,
595618 (2014). (arxiv version)

The tamewild principle for
discriminant relations for number fields, with D. Roberts,
Algebra and Number Theory, 8 no. 3, 609645 (2014).

Minimal solvable
nonic fields, LMS J. Comput. Math., 16, 130138 (2013).

Number fields with solvable
Galois groups and small Galois root discriminants,
with R. Wallington, Math. Comp., 81, 555567 (2012).

Wild ramification
bounds and simple group Galois extensions ramified only at 2,
Proc. Amer. Math. Soc., 139, 807821 (2011).

Minimum discriminants of imprimitive
decic fields, with E. Driver, Exp. Math., 19, 475479 (2010).

Number fields unramified
away from 2, J. Number Theory, 130, 12821291 (2010).

Inertia subgroups for octic 2adic fields, Int. J. Pure Appl. Math., 61, 301314 (2010).

A targeted Martinet search, with
E. Driver, Math. Comp., 78, 11091117 (2009).

$\mathbf{Z}$cyclic whist tournaments for
$q^2$ players, with P. Leonard,
J. Combin. Math. Combin. Comput., 66, 215223 (2008).

Octic 2adic fields, with
D. Roberts, J. Number Theory, 128, 14101429 (2008).

Number fields ramified at one prime, with
D. Roberts, in ANTS VIII, Springer Lecture Notes in Computer Science, 5011, 226239 (2008).

Galois number fields with
small root discriminant, with
D. Roberts,
J. Number Theory, 122, 379407 (2007).

A database of local fields, with
D.
Roberts, J. Symbolic Comput., 41, 8097 (2006).

Nonic 3adic fields, with
D.
Roberts, in ANTS VI, Springer Lecture Notes in Computer Science,
3076, 293308 (2004).
A revision correcting an error in the published
version.

Septic fields with discriminant
$\pm 2^a 3^b$, with
D. Roberts, Math Comp., 72, 19751985,
(2003).

Sextic number fields with
discriminant $ (1)^j 2^a 3^b$ , with
D.
Roberts, in Number Theory: Fifth Conference of the Canadian
Number Theory Association, CRM Proceedings and Lecture Notes,
19, American Math. Soc., 141172 (1999).

Timing analysis of targeted Hunter searches, with
D. Roberts, in ANTS III, Springer Lecture Notes in Computer
Science, 1423, 412423 (1998).

Zero free regions for a rational
function with applications, with
B. Welfert,
Advances in Computational Mathematics, 3, 265289 (1995).

Plater's $p$adic
orthogonality relation for abelian varieties, Houston J.
Math., 21, 261282 (1995).

Iwasawa $L$functions of
elliptic curves with
additive reduction, J. Number Theory, 51, 103117 (1995).

On the equation $x^4+mx^2y^2+y^4=z^2$,
with A. Bremner,
J. Number Theory, 50, 286298 (1995).

Iwasawa Lfunctions and
the mysterious $\cal L$invariant,
in padic Monodromy and the Birch and
SwinnertonDyer Conjecture,
AMS Contemporary Math Series 165, 6370 (1994).

On the local norm map for abelian
varieties with good ordinary reduction, J.
Algebra 138, 420423 (1991).

A comparison of Selmer groups, Manuscripta Math. 68,
391398 (1990).

$p$adic heights for semistable
abelian varieties, Compositio Math. 73, 3156 (1990).

Iwasawa $L$functions
for multiplicative abelian varieties,
Duke Math. J. 59, 399420 (1989).
Books

Discovering Number Theory, with J. Holt, W.H. Freeman and
Company, New York (2001).

Instructor's Manual for Discovering Number Theory
cdrom, with J. Holt, W.H. Freeman and
Company, New York (2001).

Arithmetic Geometry:
Conference on Arithmetic Geometry with an Emphasis on Iwasawa
Theory, March 1518, 1993 at Arizona State University,
coeditor with
N. Childress, AMS
Contemporary Math. Series, 174, (1994).
Pedagogy Articles

Looking at Groups,
Res. J. Math. Technol.,
1, 111120 (2012). Also published in
Elec. J. Math. Technol.,
6, 19332823 (2012).

Teaching Number Theory with CAS or Java, with J. Holt,
Proceedings for the 11th Annual International Conference on
Technology in Collegiate Mathematics, 178182, (1999).

Discovering Number Theory, with J. Holt. Proceedings for the
10th Annual International Conference on Technology in Collegiate
Mathematics, 211215, (1998).

