An Infinitary Polynomial van der Waerden Theorem. - Randall McCutcheon (J. Comb. Theory A, 1999)

Two New Extensions of the Hales-Jewett Theorem. - Randall McCutcheon (Electron. J. Comb., 2000)

VIP systems in partial semigroups. - Neil Hindman; Randall McCutcheon (Discret. Math., 2001)

A Sárközy Theorem for Finite Fields. - Randall McCutcheon (Comb. Probab. Comput., 2003)

Partition Theorems for Left and Right Variable Words. - Neil Hindman; Randall McCutcheon (Comb., 2004)

IPr sets with polynomial weights and Szemerédi's theorem. - Randall McCutcheon (J. Comb. Theory A, 2007)

Ergodic Theory: Recurrence. - Nikos Frantzikinakis; Randall McCutcheon (Encyclopedia of Complexity and Systems Science, 2009)

The Wildcard Set's Size in the Density Hales-Jewett Theorem. - Randall McCutcheon (Electron. J. Comb., 2011)

Monochromatic Permutation Quadruples - A Schur Thing in Sn. - Randall McCutcheon (Am. Math. Mon., 2012)

A Characteristic Factor for the 3-term IP Roth Theorem in ℤ3ℕ. - Randall McCutcheon; Alistair Windsor (Electron. J. Comb., 2014)