###### Number Theory and Cryptography:

- Irregularity of prime numbers over real quadratic fields. In:
*Algorithmic number theory: third international symposium; proceedings*, no. 1423 in Springer Lecture Notes in Computer Science, Springer-Verlag, 1998. [publisher] [abs] [pdf] - Comparison of Algorithms to Calculate “Quadratic Irregularity” of Prime Numbers: Extended Abstract. In: Proceedings of the Conference on The Mathematics of Public-Key Cryptography, June 12–17, 1999, Fields Institute, Toronto. [abs] [pdf]
- On the Fontaine-Mazur Conjecture for number fields and an analogue for function fields.
*Journal of Number Theory*, 81:16–47, 2000. [publisher] [abs] [pdf] - Comparison of algorithms to calculate quadratic irregularity of prime numbers.
*Mathematics of Computation*, 71:863–871, 2002. [publisher] [xxx] [abs] [pdf] - Fixed Points and Two-Cycles of the Discrete Logarithm. In:
*Algorithmic number theory: 5th international symposium; proceedings*, no. 2369 in Springer Lecture Notes in Computer Science, Springer-Verlag, 2002. [publisher] [abs] [pdf] [addenda/corrigenda from xxx] - Notes on an analogue of the Fontaine-Mazur conjecture. With Jeffrey D. Achter.
*Journal de Théorie des Nombres de Bordeaux*, 15:627–637, 2003. [publisher] [xxx] [abs] - First-hit analysis of algorithms for computing quadratic irregularity.
*Mathematics of Computation*, 73:939–948, 2004. [publisher] [xxx] [abs] - Distribution of Values of Real Quadratic Zeta Functions. In:
*Unusual Applications of Number Theory*, no. 64 in DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, AMS, 2004. [xxx] [abs] - New Conjectures and Results for Small Cycles of the Discrete Logarithm. With Pieter Moree. In:
*High Primes and Misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams*, no. 41 in Fields Institute Communications, AMS, 2004. [xxx] [abs] - Abelian varieties over finite fields with a specified characteristic polynomial modulo ℓ.
*Journal de Théorie des Nombres de Bordeaux*, 16:173–178, 2004. [publisher] [xxx] [abs] - Distribution of the Error in Estimated Numbers of Fixed Points of the Discrete Logarithm.
*Communications in Computer Algebra*, 38:111–118, 2004. [publisher or publisher] [xxx] [abs] - Some Heuristics and Results for Small Cycles of the Discrete Logarithm. With Pieter Moree.
*Mathematics of Computation*, 75:419–449, 2006. [publisher] [xxx] [abs] - Mapping the discrete logarithm. With Daniel R. Cloutier. Involve, 3:197–213, 2010. [publisher] [pdf (for screen)] [pdf (for printing)]
- Counting Fixed Points, Two-Cycles, and Collisions of the Discrete Exponential Function using p-adic Methods. With Margaret M. Robinson.
*Journal of the Australian Mathematical Society*, 92: 163-178, 2012. (Special issue in memory of Alf van der Poorten) [publisher] [xxx] - Counting fixed points and rooted closed walks of the singular map x ↦ x
^{xn}. With Pamela A. Richardson and Margaret M. Robinson.*p-Adic Numbers, Ultrametric Analysis and Applications*, 12: 12–28, 2020. [publisher] [xxx]

###### Mathematics of Arts and Crafts:

- The Graph Theory of Blackwork Embroidery. In: Making Mathematics with Needlework: Ten Papers and Ten Projects, edited by sarah-marie belcastro and Carolyn Yackel. A.K. Peters, 2007. [book web page] [abs] [pdf (preprint, not complete)]]
- Hyperbolic Tilings with Truly Hyperbolic Crochet Motifs. With Lana Holden. In:
*Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture*, Tessellations Publishing, 2014. [publisher (full-text freely available)] - Modeling Braids, Cables, and Weaves with Stranded Cellular Automata. With Lana Holden. In:
*Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Culture*, Tessellations Publishing, 2016. [publisher (full-text freely available)] - The Complexity of Braids, Cables, and Weaves Modeled with Stranded Cellular Automata. In:
*Proceedings of Bridges 2017: Mathematics, Music, Art, Architecture, Education, Culture,*Tessellations Publishing, 2017. [publisher (full-text freely available)] -
Rock Me Fibonacci: Using Recurrence Relations and State-Transition Matrices to Count Rock Drum Fill Patterns. In:
*Proceedings of Bridges 2018: Mathematics, Music, Art, Architecture, Education, Culture,*Tessellations Publishing, 2018. [publisher (full-text freely available)] - A Survey of Cellular Automata in Fiber Arts. With Lana Holden. In:
*Handbook of the Mathematics of the Arts and Sciences**,*Springer, 2019. [publisher]

###### Teaching:

- A Comparison of Cryptography Courses.
*Cryptologia*, 28 (2), 2004. [publisher] [xxx] [abs] [pdf] - Underwater Model Rockets: An Innovative Design Problem and Competition for Undergraduate Students in Engineering, Math and Science. With Richard Layton, Tina Hudson and Laurence D. Merkle. In:
*Proceedings of the 2005 American Society for Engineering Education Annual Conference and Exposition*, 2005. [publisher] [abs] [pdf] - Underwater Hacker Missile Wars: A Cryptography and Engineering Contest. With Richard Layton, Laurence Merkle, and Tina Hudson.
*Cryptologia*, 30:69–77, 2006. [publisher] [xxx] [abs] - Review of Complexity and Cryptography: An Introduction by John Talbot and Dominic Welsh
*Cryptologia*, 32:92–97, 2008. [publisher] - Math in Your Hands: Integrating the Use of Maple with the Collaborative Use of Wireless Tablet PCs. With Shannon Sexton and Julia Williams. In:
*The Impact of Tablet PCs and Pen-based Technology: New Horizons*, Purdue University Press, 2009. [book web page] [abs] - A Good Hash Function is Hard to Find, and Vice Versa.
*Cryptologia*, 37:107-119, 2013. [pdf]

Acknowledgement: This is an Author’s Accepted Manuscript of an article published in*Cryptologia*, copyright Taylor & Francis, available online at: http://www.tandfonline.com/10.1080/01611194.2012.687429. [publisher] - Demitasse: A “Small” Version of the Tiny Encryption Algorithm and its Use in a Classroom Setting.
*Cryptologia*, 37:74-83, 2013. [pdf]

Acknowledgement: This is an Author’s Accepted Manuscript of an article published in*Cryptologia*, copyright Taylor & Francis, available online at: http://www.tandfonline.com/10.1080/01611194.2012.660237. [publisher]