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Piecewise equivalence of quadratic forms, (with Daniel B. Shapiro) Communications in Algebra 11 no.2, (1983) 183-217.
Systems of homogeneous equations, (with W.M. Schmidt) Inventiones Mathematicae 71 no.3, (1983) 539-549.
Systems of quadratic forms, J. Reine Angew. Math. 350 (1984) 109-116.
Sums of squares in division algebras, (with Daniel B. Shapiro, Adrian R. Wadsworth) Mathematische Zeitschrift 190 no.2, (1985) 151-162.
Sums of squares of linear forms, (with R. Baeza, M. O'Ryan, J.P. Prieto) Mathematische Zeitschrift 193 no. 2, (1986) 297-306.
Isomorphisms and automorphisms of Witt rings, (with Murray Marshall) Canadian Mathematical Bulletin 31 no.2, (1988) 250-256.
Multiplicative subgroups of index three in a field, (with Daniel B. Shapiro) Proceedings of the American Mathematical Society 105 no.4, (1989) 802-807.
The transfer ideal of quadratic forms and a Hasse norm theorem mod squares, (with Adrian R. Wadsworth) Transactions of the American Mathematical Society 315 no.1, (1989) 415-432.
The level of division algebras over local and global fields, (with J.-P. Tignol, N. Vast) Journal of Number Theory 33 no.1, (1989) 53-70
An elementary proof of a theorem on quadratic forms over the rational numbers, Enseign. Math.(2) 35 no.3-4, (1989) 191-202.
Pfister's conjecture on quadratic C_{0}-fields, J. Reine Angew. Math. 404 (1990) 209-220.
Levels of division algebras, Glasgow Mathematical Journal 32 no.3, (1990) 365-370.
Diagonal forms over fields with procyclic Galois group, (with Charles C. Yeomans) Communications in Algebra 20 no.7, (1992) 2029-2041.
The Hasse norm theorem mod squares, (with A.R. Wadsworth) Journal Number Theory 42 no.3, (1992) 337-348.
Combinatorial structure on the automorphism group of S_{6}, (with T.Y. Lam) Expositiones Mathematicae 11 no.4, (1993) 289-308.
Biquaternial algebras and quartic extensions, (with T.Y. Lam, J.-P. Tignol) Inst. Hautes Etudes Sci.Pub.Math. 77 (1993) 63-102.
Growth of the u-invariant under algebraic extensions, (with A.S. Merkurjev) Contemporary Mathematics 155 (1994) 327-332 American Mathematical Society.
The number of points on a singular curve over a finite field, (with Charles C. Yeomans) Archiv der Mathematik (Basel) 63 no.5, (1994) 420-426.
Quintic forms over p-adic fields, (with Charles C. Yeomans) Journal of Number Theory 57 no.2, (1996) 231-241.
Nonsingular zeros of quintic forms over finite fields, (with Charles C. Yeomans) Rocky Mountain Journal of Mathematics 26 no.3, (1996) 1043-1055.
Zeros of a pair of quadratric forms defined over a finite field, (with L.M. Schueller) Finite Fields and Their Applications 5 no.2, (1999) 157-176.
Marriage, magic and solitaire, (with Gerry Myerson) American Mathematical Monthly 106 no.5, (1999) 419-429.
Classification of pairs of symmetric and alternating bilinear forms, (with L.M. Schueller) Expositiones Mathematicae 17 no.5, (1999) 385-414.
Isoperimetric Quadrilaterals: Mathematical Reasoning with Technology, (with Gina Foletta) Mathematics Teacher 93 (2000) 144-147.
Pencils of quadratic forms and hyperelliptic function fields, Journal of Algebra 227 no.2, (2000) 532-548.
Polynomials in R[x,y] that are sums of squares in R(x,y), (with Colin Starr) Proceedings of the American Mathematical Society 129 no.11, (2001) 3133-3140.
Divisible subgroups of Brauer groups and trace forms of central simple algebras, (with Gregory Berhuy) Documenta Mathematica 6 (2001) 489-500.
Multiquadratic extensions, rigid fields and Pythagorean fields, (with Tara L. Smith) Bulletin of the London Mathematical Society 34 no. 2, (2002) 140-148.
Frattini closed groups and adequate extensions of global fields, (with Tara L. Smith, Ronald Solomon) Israel Journal of Mathematics 130 no. 1, (2002) 1-10.
Q-adequacy of Galois 2-extensions, (with Tara L. Smith, Helen G. Grundman) Israel Journal of Mathematics 130 (2002) 11-19.
A characterization of nonsingular pairs of quadratic forms, (with L.M. Schueller) Journal of Algebra and its Applications 1 no.4, (2002) 391-412.
Galois groups over nonrigid fields, (with Wenfeng Gao, Jan Minac, Tara L. Smith) Fields Institute Communications 33 (2003) 61-77 American Mathematical Society.
Galois groups of order 2n that contain a cyclic subgroup of order n, (with Y.-S. Hwang, Adrian R. Wadsworth) Pacific Journal of Mathematics 212 no.2, (2003) 297-319.
Witt kernels of triquadic extensions, (with Tara L. Smith) Contemporary Mathematics 344 (2004) 249-256 American Mathematical Society.
Estimates of the Pythagoras Number of R_{m}(x_{1},....,x_{n}) through lattice points and polytopes, (with Colin Starr) Discrete Mathematics 308 no. 23, (2008) 5771-5781.
Pythagoras numbers and quadratic field extensions, (with Karim Johannes Becher) Contemporary Mathematics 493 (2009) 21-28 American Mathematical Society.
A historical view of the Pythagoras numbers of fields, Contemporary Mathematics 493 (2009) 271-288 American Mathematical Society.
A generalization of a theorem of Birch, (with Colin Starr) Communications in Algebra 37 no.8, (2009) 2640-2648.
Non singular zeros of polynomials defined over p - adic fields, (with Lekbir Chakri) Communications in Algebra 39 no.1, (2011) 1-4.
The length and other field invariants, (with Karim Johannes Becher) Mathematische Zeitschrift 269 no.1-2, (2011) 236-252.
The Elman-Lam-Kruskemper theorem, (with Karim Johannes Becher) ISRN Algebra 2011 (2011) Article ID 106823 (8 pages).