
Papers

Galois Number Fields with
Small Root Discriminant, with
D. Roberts, submitted.

A Database of Local Fields, with
D.
Roberts, to appear in JSC.

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 ±
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 padic
orthogonality relation for Abelian varieties, Houston J. of
Math., 21, 261282 (1995).

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

On the equation $x^4+mx^2y^2+y^4=z^2$, with A. Bremner,
J. of 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. of
Algebra 138, 420423 (1991).

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

padic heights for
semistable abelian varieties,
Compositio Math. 73, 3156 (1990).

Iwasawa Lfunctions
for multiplicative abelian varieties,
Duke J. of Math. 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

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

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

