A Polynomial Time Complexity Bound for Computations on Curves. - P. G. Walsh (SIAM J. Comput., 1998)

On two classes of simultaneous Pell equations with no solutions. - P. G. Walsh (Math. Comput., 1999)

A polynomial-time complexity bound for the computation of the singular part of a Puiseux expansion of an algebraic function. - P. G. Walsh (Math. Comput., 2000)

Irreducibility testing over local fields. - P. G. Walsh (Math. Comput., 2000)

On a Question of Kaplansky. - P. G. Walsh (Am. Math. Mon., 2002)

A computational approach for solving y2 =1k + 2k + ... + xk. - Michael J. Jacobson Jr.; Ákos Pintér; P. G. Walsh (Math. Comput., 2003)

Corrigendum to "On two classes of simultaneous Pell equations with no solutions". - P. G. Walsh (Math. Comput., 2021)