Papers (not a complete list)
- The Common Core State
Standards , in Cho (ed), Selected Regular Lectures from the 12th International Congress on Mathematical Education, Spring (2015)
- Restoring and
Balancing, in Usiskin, Anderson, and
Zotto (eds), Future
Curricular Trends in School Algebra and Geometry, Information Age
Publishing (2010)
- Comments on
the Kaminsky et al Science paper
- Yet more elements
in the Shafarevich-Tate group of the Jacobian of a Fermat Curve
(with Ben Levitt), to appear in Kenneth A. Ribet and Kristin Estella
Lauter (eds), Proceedings of the Special Session on
Computational Arithmetic Geometry, Contemporary Mathematics, AMS
- The Method of Coleman and
Chabauty (with Bjorn Poonen), to appear in the proceedings of
a trimester at IHP
- Yet more elements
in the Shafarevich-Tate group of the Jacobian of a Fermat Curve
(with Ben Levitt), to appear in Kenneth A. Ribet and Kristin Estella
Lauter (eds), Proceedings of the Special Session on
Computational Arithmetic Geometry
- The Method of Coleman and
Chabauty (with Bjorn Poonen), to appear in the proceedings of
a 2004 trimester at IHP
- Assessing the Strands of
Student Proficiency in Elementary Algebra, to appear in the
proceedings of "Assessing Students' Mathematical Learning: Issues,
Costs and Benefits, MSRI, March 7 - 10, 2004."
- Computer Algebra and
Human Algebra, Proceedings of KAIST International Symposium on
Enhancing University Mathematics Teaching, May 12–16, 2005,
Daejon, Korea.
- Promoting Work on Education in Mathematics Departments,
Notices of the AMS, October 2003.
-
On Shafarevich-Tate groups and the arithmetic of Fermat curves
(with Pavlos Tzermias), in "Number Theory and Algebraic
Geometry", Alexei Skorobogatov and Miles Reid (eds), LMS Lecture
Notes 303 (Cambridge: Cambridge
University Press, 2003)
- A cup product in the Galois
cohomology of number fields (with Romyar T. Sharifi), Duke Math
J. 120 (2003), 269–310. Related Magma routines pair.m (for computing the pairing for
primes up to 10,000), ucinput.m and
unitcomp.m (for determining non-triviality) and output from
non-triviality computation for the prime 37 (p37data).
