Publications listed in MathSciNet
Cryptanalysis of Number Theoretic Ciphers
Factorizations of bn ± 1, b = 2, 3, 5, 6, 7, 10, 11, 12, up to High Powers
Two papers on probable primes These articles propose an algorithm for selecting industrial-grade primes for use in cryptography. This algorithm is recommended in ANSI Standards X9.31 and X9-80. The first paper states a famous challenge for primality testing.
Paper with Jason Gower on SQUFOF in Mathematics of Computation, 77 (2008), 551-588.
"Congruences for rs(n) modulo 2s," Journal of Number Theory 127 (2007) 326-329.
Same paper also available here.
Paper on primes with a fixed number of 0 or 1 bits
Factors of Bernoulli and Euler Numbers
The Number Field Sieve on Many Computers by R.-M. Elkenbracht-Huizing, Peter L. Montgomery, R. D. Silverman, R. K. Wackerbarth and S. S. Wagstaff, Jr., Proceedings of the Fifth Conference of the Canadian Number Theory Association, Rajiv Gupta and Kenneth S. Williams, editors. Centre de Recherches Mathematiques (CRM, Montreal) Proceedings and Lecture Notes Series, published by the American Mathematical Society (AMS), volume 19 (1999), pages 81-85.
MPQS with three large primes, P. Leyland, A.K. Lenstra, B. Dodson, A. Muffett, S.S. Wagstaff, Jr., in Algorithmic Number Theory, Proceedings ANTS 2002, volume 2369 of Springer-Verlag Lecture Notes in Computer Science, 2002, pages 448--462.
Factors of Bell Exponential Numbers
Paper on watermarking with quadratic residues
Implementing the hypercube quadratic sieve with two large primes, Brian Carrier and Samuel S. Wagstaff, Jr., in Proceedings of the International Conference on Number Theory for Secure Communications, Srinivasa Ramanujan Centre, SASTRA Deemed University, Kumbakonam, India, 20 & 21 December, 2003, pages 51--64. The PostScript version of the same paper.