The vertex ideal of a lattice. - Serkan Hosten; Diane Maclagan (Adv. Appl. Math., 2002)

Combinatorics of the Toric Hilbert Scheme. - Diane Maclagan; Rekha R. Thomas (Discret. Comput. Geom., 2002)

The toric Hilbert scheme of a rank two lattice is smooth and irreducible. - Diane Maclagan; Rekha R. Thomas (J. Comb. Theory A, 2003)

Fiber Fans and Toric Quotients. - Alastair Craw; Diane Maclagan (Discret. Comput. Geom., 2007)

The T-Graph of a Multigraded Hilbert Scheme. - Milena Hering; Diane Maclagan (Exp. Math., 2012)

Introduction to Tropical Geometry. - Diane Maclagan; Bernd Sturmfels (American Mathematical Society, 2015)

Gröbner bases over fields with valuations. - Andrew J. Chan; Diane Maclagan (Math. Comput., 2019)

The spine of the (T )-graph of the Hilbert scheme of points in the plane. - Diane Maclagan; Rob Silversmith (Comb. Theory, 2024)