- Generalizing Gauss's Gem (with Marc Chamberland),
*American Mathematical Monthly***119**, #7 (August-September 2012), 597-601. - Why Ellipses Are Not Elliptic Curves (with Adrian Rice),
*Mathematics Magazine*,**85**(June 2012), 163-174. - Trigonometry Without Triangles (with Adrian Rice),
*Math Horizons*,**19**, #2 (November 2011), 20-23. - A Mathematical Trip to Princeton,
*Mathematical Intelligencer***32**, #3 (Fall 2010), 35-37. - Chocolate Key Cryptography (with Dale Bachman and Anderson Norton),
*Mathematics Teacher***104**(September 2010), 100-104. - A Conversation with Archimedes,
*Math Horizons*,**17**, #4 (April 2010), 22-24. - Why is PSL(2,7) isomorphic to GL(3,2)? (with Nicholas Loehr),
*American Mathematical Monthly***116**, #8 (October 2009), 727-731. - A Dozen Hat Problems (with James Tanton),
*Math Horizons***16**, #4 (April 2009), 22-25. - Kirkman’s Schoolgirls Wearing Hats and Walking through Fields of Numbers
(with Keith E. Mellinger),
*Mathematics Magazine***82**(February 2009), 3-15. - Fibonacci's Forgotten Number (with Jason C. Brunson),
*College Mathematics Journal***39**(March 2008), 112-120. - Whodunit?,
*Math Horizons***14**, #4 (April 2007), 25-26, 28-29. - A Conversation with Lewis Carroll,
*Math Horizons***14**, #2 (November 2006), 9-11. - Hyperelliptic Curves with Compact
Parameters (with Bruce T. Myers and Jerome A. Solinas),
*Designs, Codes, and Cryptography***36**(2005), 245-261. - Phoebe Floats! ,
*College Mathematics Journal***36**(March 2005), 114-122. - A Conversation with
Leonardo Pisano ,
*Math Horizons***12**, #3 (February 2005), 16-18. - The Ancient World's Magical
Genius Thinks Big ,
*Math Horizons***12**, #2 (November 2004), 5-8. - Configurations with Subset
Restrictions (with Theresa P. Vaughan),
*Journal of Combinatorial Mathematics and Combinatorial Computing***48**(2004), 197-215. - The Fabulous (11,5,2) Biplane,
*Mathematics Magazine***77**(April 2004), 87-100. - Three Connections to Continued
Fractions,
*Pi Mu Epsilon Journal***11**(2002), 353-362. - Elliptic Curves from Mordell to
Diophantus and Back (with Bruce T. Myers),
*American Mathematical Monthly***109**(August-September 2002), 639-649. - The Many Names of (7,3,1),
*Mathematics Magazine***75**(April 2002), 83-94. - Cycles of Directed Graphs Defined
by Matrix Multiplication (mod n) (with Theresa P. Vaughan),
*Discrete Mathematics***239**(2001), 109-120. - Magic Squares, Finite Planes and Points
of Inflection on Elliptic Curves,
*College Mathematics Journal***32**(September 2001), 260-267. - Three Fermat Trails to Elliptic
Curves,
*College Mathematics Journal***31**(May 2000), 162-172. - Square Roots from 1;24,51,10 to Dan
Shanks,
*College Mathematics Journal***30**(March 1999), 82-95. - Directed Graphs Defined by
Arithmetic (mod
*n*),*Fibonacci Quarterly***35**(1997), 346-351. - Periodic Seeded Arrays and Automorphisms of the Shift,
*Transactions of the American Mathematical Society***339**(September 1993), 141-161.

- An Introduction to the General Number Field Sieve, by Matthew Briggs (Masters Thesis, Virginia Tech, 1998).