Toric Varieties (with John Little and Hal Schenck), AMS, 2011.
Ideals, Varieties, and Algorithms (with John Little and Don O'Shea), third edition, Springer, 2006, translated into Russian and Japanese.
Using Algebraic Geometry (with John Little and Don O'Shea), second edition, Springer, 2005, translated into Japanese.
Galois Theory, second edition, John Wiley & Sons, 2012, translated into Japanese.
Mirror Symmetry and Algebraic Geometry (with Sheldon Katz), AMS, 1999, translated into Russian.
Primes of the Form x2 + ny2, second edition, John Wiley & Sons, 2013.
"A study of singularities of rational curves via syzygies" (with A. Kustin, C. Polini and B. Ulrich), Memoirs of the AMS, vol. 222, 2013.
"Geometry and number theory on clovers" (with J. Shurman), Amer. Math. Monthly 112 (2005), 682-704.
"Principal moduli and class fields" (with J. McKay and P. Stevenhagen), Bull. London Math. Soc. 36 (2004), 3-12.
"The homogeneous coordinate ring of a toric variety," J. Alg. Geom. 4 (1995), 17-50.
"On the Hodge structure of projective hypersurfaces in toric varieties" (with V. Batyrev), Duke Math. J. 75 (1994), 293-338.
"Intersection numbers of sections of elliptic surfaces" (with S. Zucker), Inventiones Math. 53 (1979), 1-44.
"Why Eisenstein proved the Eisenstein criterion and why Schoenemann discovered it first," Amer. Math. Monthly 118 (2011), 3-21.
"What is the role of algebra in applied mathematics?" Gaz. des Math., April 2005, and Notices of the AMS, November 2005, translated into Spanish for La Gaceta de la Real Soc. Mat. Esp.
"Introduction to Fermat's Last Theorem," Amer. Math. Monthly 101 (1994), 3-14.
"The arithmetic-geometric mean of Gauss," L'Ens. Math. 30 (1984), 481-536.