- “Integer-valued polynomials and almost division algorithms,” J. Nat. Sci. Math.28(1988),239-256.
- “On a characterization of algebraic number fields of class number less than three,” (with W.W.Smith) J. Algebra 135(1990), 361-366
- “Factorization in Dedekind domains with finite class group,” (with W.W. Smith) Israel J. Math.71(1990), 65-95.
- “Characterizing strong two-generators in K[x2, x3],” Houston J. Math. 16(1990), 217-229.
- “A Theorem on generating ideals in certain semigroup rings,” (with N. Vaughan) Boll. U.M.I.5-A(1991), 41-49.
- “On the HFD, CHFD, and k-HFD properties in Dedekind domains,” (with W.W. Smith) Comm.Algebra 20(1992), 1955-1987
- “A simple example of non-unique factorization in integral domains,” Amer. Math. Monthly99(1992), 943-945.
- “On the k-HFD property in Dedekind domains with small classgroup,” (with W.W. Smith) Math-ematika 39(1992), 330-340.
- “Rational elasticity of factorizations in Krull domains,” (with D.D. Anderson, D.F. Anderson, andW.W. Smith) Proc. Amer. Math. Soc. 117(1993), 37-43.
- “On the lengths of factorizations of elements in an algebraic number ring,” (with W.W. Smith)J. Number Theory 43(1993), 24-30.
- “An analysis using the Zaks-Skula constant of element factorizations in Dedekind domains,” (withW.W. Smith) J. Algebra 159(1993), 176-190.
- “Factorization in K[x2, x3],” (with D.F. Anderson, F. Inman*, and W.W. Smith) Arch. Math.(Basel) 61(1993), 521-528.
- “Some factorization properties of Krull domains with infinite cyclic divisor class group,” (withD.F. Anderson and W.W. Smith) J. Pure Appl. Algebra 96(1994), 97-112.
- “Overrings of half-factorial domains,” (with D.F. Anderson and W.W. Smith) Can. Math. Bull.37(1994), 437-442.“On Krull half-factorial domains with infinite cyclic divisor class group,” (with D.F. Andersonand W.W. Smith) Houston J. Math. 20(1994), 561-570.
- “On Krull half-factorial domains with infinite cyclic divisor class group,” (with D.F. Andersonand W.W. Smith) Houston J. Math. 20(1994), 561-570.
- “Some factorization properties of the ring of integer-valued polynomials,” (with D.F. Anderson,P-J. Cahen and W.W. Smith) Lecture Notes in Pure and Applied Mathematics, Marcel Dekker,171(1995), 125-142.
- “On the Davenport constant, the cross number, and their application to factorization theory,”Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 171(1995), 167-190.
- “Overrings of half-factorial domains, II,” (with D.F. Anderson and W.W. Smith) Comm. Algebra23(1995), 3961-3976.
- “Factorization sets and half-factorial sets in integral domains,” (with D.F. Anderson and W.W.Smith) J. Algebra 178(1995), 92-121.
- “Finite cyclic groups and the k-HFD property,” (with W.W. Smith) Colloq. Math.70(1996),219-226.
- “On a generalization of a theorem of Zaks and Skula,” (with W. Thill*) Proc. Royal Irish Aca.96A(1996), 79-83.
- “On cross numbers of minimal zero sequences,” (with A. Geroldinger) Australasian J. Comb.14(1996), 85-92.
- “Two classes of ideals determined by integer-valued polynomials,” (with P-J. Cahen, K. Roegnerand W.W. Smith) Rend. Mat. (Roma) 16(1996), 625-636.
- “A basis for the ring of polynomials integer-valued on prime numbers,” (with J-L. Chabertand W.W. Smith) Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 189(1997),271-284.
- “Krull domains and monoids, their sets of length and associated combinatorial problems,” (withA. Geroldinger) Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 189(1997),73-112.
- “Algebraic properties of the ring of polynomials integer-valued on prime numbers,” (with J-L.Chabert and W.W. Smith) Comm. Algebra 25(1997), 1945-1959.
- “Generalized sets of length,” (with W.W. Smith) J. Algebra 200(1998), 449-471.
- “Integral domains with highly non-unique factorization,” (with D.D. Anderson and J. Kwak)Results Math. 33(1998), 22-29.
- “Criteria for unique factorization,” (with D.D. Anderson, F. Halter-Koch, and M. Zafrullah) J.Pure Appl. Algebra 127(1998), 205-218.
- “Generators of maximal ideals in the ring of integer-valued polynomials,” (with W.W. Smith)Rocky Mountain J. Math. 28(1998), 95-105.
- “The Skolem property in rings of integer-valued polynomials,” (with J-L. Chabert and W.W.Smith) Proc. Amer. Math. Soc. 126(1998), 3151-3159.
- “Minimal zero-sequences and the strong Davenport constant,” (with M. Freeze and W.W. Smith)Discrete Math. 203(1999), 271-277.
- “A factorization formula for class number two,” (with J. Herr* and N. Rooney*) J. NumberTheory 79(1999), 58-66.
- “On the elasticities of Krull domains with finite cyclic divisor class group,” (with D.F. Anderson)Comm. Algebra 28(2000), 2543-2553.
- “Monoids determined by a homogenous linear Diophantine equation and the half-factorial prop-erty” (with U. Krause and E. Oeljeklaus) J. Pure Appl. Algebra 151(2000), 107-133.
- “On generalized lengths of factorizations in Dedekind and Krull domains,” (with M. Freeze and W.W. Smith) Non-Noetherian Commutative Ring Theory, Kluwer Academic Publishers, 117-138.
- “Half-factorial domains, a survey,” (with J. Coykendall) Non-Noetherian Commutative RingTheory, Kluwer Academic Publishers, 97-116.
- “100 Problems in commutative ring theory,” (with S. Glaz) Non-Noetherian Commutative Ring Theory, Kluwer Academic Publishers, 459-476.
- “An arithmetical characterization of finite elementary 2-groups,” (with W.W. Smith) Comm.Algebra 29(2001), 1249-1257.
- “Equivalence classes of minimal zero-sequences modulo a prime,” (with M. Freeze and W.W.Smith) Lecture Notes in Pure and Applied Mathematics Marcel-Dekker, 220(2001), 133-146.
- “On the asymptotic behavior of irreducibles in block semigroups,” (with V. DeLorenzo* and H.Swisher*) Semigroup Forum 63(2001), 34-48.
- “Sets of lengths in V + XB[X] domains,” (with N. Gonzalez and S. Pellerin) Arabian J. Sci.Engrg. 26(2001), 69-82.
- “Computing the elasticity of a Krull monoid,” (with J.I. Garcıa-Garcıa, P.A. Garc´ıa-Sánchez andJ.C. Rosales) Linear Algebra Appl. 336(2001), 201-210
- “The strong two-generator property in rings of integer-valued polynomials determined by finitesets,” (with A. Loper and W.W. Smith) Arch. Math. (Basel) 78(2002), 372-377.
- “On Davenport’s constant of finite abelian groups,” (with M. Freeze, W. D. Gao, and W. W.Smith) Far East J. Math. Sci. 5 (2002), no. 1, 47-54.
- “On Diophantine monoids and their class groups,” (with U.Krause and E. Oeljeklaus) Pacific J.Math. 207(2002), 125-147.
- “Inside factorial monoids and integral domains,” (with F. Halter-Koch and U. Krause) J. Algebra252(2002), 350-375.
- “On the number of factorizations of an element in an atomic monoid,” (with J.I. Garcıa-Garcıa,P.A. Garc´ıa-Sánchez and J.C. Rosales) Adv. in Appl. Math. 29(2002), 438-453.
- “On the asymptotic values of length functions in Krull and finitely generated commutativemonoids,” (with J.C. Rosales) J. Aust. Math. Soc. 74(2003), 421-436.
- “On Factorization in Block Monoids formed by {1, a} in Zn,” (with W.W. Smith) Proc. EdinburghMath. Soc. 46(2003), 257-267
- “On cross numbers of minimal zero sequences in certain cyclic groups,” (with P. Baginski*, K.McDonald* and L. Pudwell*) Ars Combin. 70(2004), 47-60.
- “Strongly two-generated ideals in rings of integer-valued polynomials determined by finite sets,”(with A. Loper and W. W. Smith) C.R. Math. Rep. Acad. Sci. Canada 26(2004), 33-38.
- “Cale monoids, Cale domains and Cale varieties,” (with U.Krause) Arithmetical Properties ofCommutative Rings andMonoids, Lecture Notes in Pure and Applied Mathematics 241(2005),142-171.
- “Irreducible polynomials and full elasticity in rings of integer-valued polynomials,” (with B.McClain*) J. Algebra 293(2005), 595-610.
- “A characterization of minimal zero-sequences of index one in finite cyclic groups,” (with W. W.Smith) Integers 5(1)(2005), #A27.
- “Asymptotic elasticity in atomic monoids,” (with P. Baginski, M. Holden* and T. Moore*)Semigroup Forum 72(2006), 134-142.
- “Restricted elasticity and rings of integer-valued polynomials determined by finite subsets,” (withW. W. Smith) Monatsh. Math. 148(2006), 195-203.
- “The catenary and tame degree in finitely generated commutative cancellative monoids,” (with P.A. Garc´ıa-Sánchez, D. Llena, V. Ponomarenko and J. C. Rosales) Manuscripta Math. 120(2006),253-264.
- “Presentations of finitely generated cancellative commutative monoids and nonnegative solutionsof systems of linear equations,” (with P. A. Garc´ıa-Sánchez, D. Llena and J. C. Rosales) DiscreteAppl. Math. 154(2006), 1947-1959.
- “On full elasticity in atomic monoids and integral domains,” (with M. Holden* and T. Moore*) Rocky Mountain J. Math.36(2006), 1437-1455.
- “On Delta sets of numerical monoids,” (with C. Bowles*, N. Kaplan* and D. Reiser*) JournalAlgebra Appl. 5(2006), 1-24.
- “Robert Gilmer’s contributions to the theory of integer-valued polynomials,” (with V. Pono-marenko and W. W. Smith) Multiplicative Ideal Theory in Commutative Algebra, a tribute to thework of Robert Gilmer, Springer, New York, 2006,109-122.
- “Elastic properties and prime elements,” (with P. Baginski, C. Crutchfield*, K. Kennedy* andM. Wright*) Results Math. 49(2006), 1-14.
- “Presentations of finitely generated cancellative monoids and natural solutions of linear systemsof equations,” (with P. A. Garc´ıa-Sánchez, D. Llena and J. C. Rosales) Fifth Conference onDiscrete Mathematics and Computer Science, Ciencias (Valladolid), Univ. Valladolid, Secr.Publ. Intercamb. Ed. 23(2006), 217-224.
- “On the arithmetic of arithmetical congruence monoids,” (with M. Banister*, J. Chaika* and W.Meyerson*) Colloq. Math. 108(2007), 105-118.
- “On a result of James and Niven concerning unique factorization in congruence semigroups,”(with M. Banister*, J.Chaika* and W. Meyerson*) Elem. Math 62(2007),68-72.
- “On minimum delta set values in block monoids over cyclic groups,” (with S. Chang and W. W.Smith) Ramanujan J. 14(2007), 155-171
- “An inequality concerning the elasticity of of Krull monoids with divisor class group Zp,” (withW. W. Smith) Ric. Mat. 56(2007), 107-117.
- “Elasticity in certain block monoids via the euclidean table,” (with S. Chang and W. W. Smith)Math. Slovaca 57(2007), 415-454.
- “Sets of lengths do not characterize numerical monoids,” (with J. Amos*, N. Hine* and J.Paixao*) Integers 7(2007), #A50.
- “On the delta-set of a singular arithmetical congruence monoid,” (with P. Baginski and G.Schaeffer*) J. Théor. Nombres Bordeaux 20(2008), 45-59.
- “On the asymptotic behavior of unions of sets of lengths in atomic monoids,” (with P. Baginski,N. Hine* and J. Paixao*) Involve 1(2008), 101-110.
- “On minimal distances in Krull monoids with infinite classgroup,” (with W. A. Schmid and W.W. Smith) Bull. Lond. Math. Soc 40(2008), 613-618.
- “Quasi-half-factorial subsets of abelian torsion groups,”(with W. A. Schmid and W. W. Smith)Houston J. Math. 35(2009), 13-22.
- “The catenary and tame degree of numerical semigroups,” (with P. A. Garc´ıa-Sánchez and D.Llena) Forum Math 21(2009), 117-129.
- “A theorem on accepted elasticity in certain local arithmetical congruence monoids,” (with M.Banister*, J. Chaika* and W. Meyerson*) Abh. Math. Sem. Univ. Hamburg 79(2009), 79-86.
- “Delta sets of numerical monoids are eventually periodic,” (with R. Hoyer* and N. Kaplan)Aequationes Math. 77(2009), 273-279.
- “Elastic properties of some semirings defined by positive systems,” (with P. Cesarz*, S. McAdamand G. Schaeffer) Proceedings of the Fifth International Fez Conference on Commutative Algebraand its Applications, Walter de Gruyter, Berlin, 2009, 89-101.
- “A note on the sum of the quotient and remainder in the division algorithm,” (with D. F.Anderson and W. W. Smith) Elem. Math 64(2009), 154-159.
- “A note on cancellation properties of semistar operations,” (with R. Matsuda) Int. Elect. J.Algebra 7(2010), 78-86.
- “Delta sets of numerical monoids using non-minimal sets of generators,” (with G. Daigle*, R.Hoyer* and N. Kaplan) Comm. Algebra. 38(2010), 2622-2634.
- “On the delta set and catenary degree of Krull Monoids with infinite cyclic divisor class group,”(with P. Baginski, R. Rodriguez*, G. Schaeffer and Y. She*) J. Pure Appl. Algebra. 214(2010),1334-1339.
- “How far is an element from being prime?” (with D. F. Anderson) Journal Algebra Appl. 9(2010),1-11.
- “Elasticity in generalized arithmetical congruence monoids,” (with D. Steinberg*) Results Math.58(2010), 221-231.
- “Elements in a numerical semigroup with factorizations of the same length,” (with P. A. Garcıa-Sánchez, D. Llena and J. Marshall*) Canad. Math. Bull. 54(2011), 39-43.
- “An algorithm to compute ω-primality in a numericalmonoid,” (with D. F. Anderson, N. Kaplanand D. Torkornoo*) Semigroup Forum 82(2011), 96-108.
- “Factorizations of algebraic integers, block monoids and additive number theory,” (with P. Ba-ginski) Amer. Math. Monthly 118(2011), 901-920.
- “On image sets of integer-valued polynomials,” (with V. Ponomarenko) J. Algebra 348(2011),350-353
- “A closer look at non-unique factorization via atomic decay and strong atoms,” (with U. Krause)Progress in Commutative Algebra, 2, Walter de Gruyter & Co., Berlin, Germany, 2012, 301-315.
- “On the Delta sets and minimal presentations of a finitely generated commutative monoid,” (withP.A. Garc´ıa-Sánchez, D. Llena, A. Malyshev and D. Steinberg) Arabian J. Math. 1(2012), 53-61.
- “Erdös-Zaks all divisor sets,” (with W. W. Smith) Period. Math. Hungar. 64(2012), 227-246.
- “On bounding measures of primeness in integral domains,” (with D. F. Anderson) Internat. J.Algebra Comput. 22(2012), 15 pp
- “Algebraic and combinatorial aspects of sandpile monoids on directed graphs,” (with L.Garcia-Puente, R. Garcia, M. Malandro, K. Smith) J. Comb. Theory Ser. A. 120(2013), 245-265.
- “Shifts of generators and delta sets of numerical monoids,” (with N. Kaplan, T. Lemburg*, A.Niles* and C. Zlogar*) Internat. J. Algebra Comput. 24(2014), 655-669.
- “A tale of two monoids: a friendly introduction to the theory of non-unique factorizations,” Math.Magazine 87(2014), 163-173.
- “Arithmetic congruence monoids: A Survey,” (with P. Baginski) Combinatorial and AdditiveNumber Theory: CANT 2011 and 2012, Springer Proceedings in Mathematics and Statistics,101(2014).
- “On the omega values of generators of embedding dimension three numerical monoids generatedby an interval,” (with W. Puckett* and K. Shour*) Involve 7(2014), 657-667.
- “On Delta Sets and their Realizable Subsets in Krull Monoids with Cyclic Class Groups,” (withF. Gotti* and R. Pelayo) Colloq. Math. 137(2014), 137-146.
- “The catenary and tame degrees on a numerical monoid are eventually periodic,” (with M.Corrales*, A. Miller*, C. Miller*, and D. Patel*) J. Aust. Math. Soc. 97(2014), 289-300.
- “I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly,”(with J. Borwein) Amer. Math. Monthly 122(2015), 195-216.
- “I prefer pi: Addendum,” Amer. Math. Monthly 122(2015), 800.
- “ω-primality in embedding dimension three numerical semigroups,” (with P. A. Garc´ıa-Sánchez,Z. Tripp*, C. Viola) J. Algebra Appl. 63(2016).
- “The catenary degree of elements in numerical monoids generated by arithmetic sequences,”(with M. Corrales*, A. Miller*, C. Miller*, and D. Patel*) Comm. Algebra 45(2017), 5443-5452.
- “What happens when the division algorithm “almost” works,” Amer. Math. Monthly 125(2018),643-647.
- “Factorization in the Chicken McNugget monoid,” (with C. O’Neill) Math. Magazine 91(2018),323-336.
- “So what is class number 2?” Amer. Math. Monthly 126(2019), 330-339.
- How do elements really factor in Z[√−5],” (with F. Gotti and M. Gotti) Advances in Commu-tative Algebra Dedicated to David F. Anderson, Birkhäuser, 2019, 171-196.
- “ω-primality in arithmetic Leamer monoids,” (with Z. Tripp) Semigroup Forum 99(2019), 47-56.
- “Factorization invariants of Puiseux monoids generated by geometric sequences,” (with F. Gottiand M. Gotti) Comm. Algebra 48(2020), 380-396.
- “Beyond coins, stamps, and Chicken McNuggets: an invitation to numerical semigroups,” (withR. Garcia and C. O’Neill) A Project Based Guide in Undergraduate Mathematics: Starting andSustaining Undergraduate Research, Birkhäuser, 2020, 177-202.
- “When is a Puiseux monoid atomic?,” (with F. Gotti and M. Gotti) to appear in Amer. Math.Monthly.
- “Finer factorization characterizations of class number 2,” to appear in Rocky Mountain J. Math.
- “Distances between factorizations in the Chicken McNugget monoid,” (with C. O’Neill and P.A. Garc´ıa-Sánchez) to appear in College Math. Journal.
- “Length-factoriality in commutative monoids and integral domains,” (with J. Coykendall, F.Gotti, and W. W. Smith) to appear in Journal of Algebra.
- “Bi-atomic classes of positive semirings” (with N. Baeth and F. Gotti) to appear in SemigroupForum.

- “On length Densities,” (with C. O’Neill and V. Ponomarenko) submitted.
- “On the atomicity of positive monoids and semirings,” (with F. Gotti and M. Gotti) in preparation.
- The importance of being prime, a nontrivial generalization for nonunique factorizations,” (withN. Baeth) in preparation.
- “Generating ideals in subrings ofK[[X]] via numerical semigroups,” in preparation.

- “REU Spotlight: Trinity University,” Math Horizons 11(2004), pp. 26-27.
- “The Trinity University Research Experiences for Undergraduates in Mathematics Program,”Proceedings of the Conference on Promoting Undergraduate Research in Mathematics, AmericanMathematical Society, Providence, RI, 2007.
- “Remember the Alamonoid: The Art of Factorization in Multiplicative Systems in San Antonio,”Focus 27(2007), pp. 19-20.
- “A letter from the editor,” Amer. Math. Monthly 119(2012), 3.
- “Editor’s Endnotes,” Amer. Math. Monthly 119(2012), 892-894.
- “A letter from the editor,” Amer. Math. Monthly 120(2013), 383.
- “Editor’s Endnotes,” Amer. Math. Monthly 120(2013), 482-483.
- “Editor’s Endnotes,” Amer. Math. Monthly 120(2013), 954-956.
- “A letter from the editor: What’s in a color?” Amer. Math. Monthly 121(2014), 3-4.
- “Editor’s Endnotes,” Amer. Math. Monthly 121(2014), 467-468.
- “Editor’s Endnotes,” Amer. Math. Monthly 121(2014), 957-959.
- “A letter from the editor:2015 is the centennial year of the MAA,” Amer. Math. Monthly122(2015), 3.
- “Editor’s Endnotes,” Amer. Math. Monthly 122(2015), 511-512.
- “Editor’s Endnotes,” Amer. Math. Monthly 122(2015), 1023-1025.
- “How to deal with a Mathematics journal Editor,” Notices Amer. Math. Soc. 63(2016), 182-184.
- “Foreword,” Multiplicative Ideal Theory and Factorization Theory - Commutative and Non-Commutative Perspectives, Proceedings in Mathematics and Statistics 170(2016), Springer In-ternational, vii-xiv.
- “Editor’s Endnotes,” Amer. Math. Monthly 123(2016), 515-516.
- “A letter from the editor: Jonathan M. Borwein 1951-2016,” Amer. Math. Monthly 123(2016),847-848.
- “Single digit NFL scores,” (published under a psuedonym) Amer. Math. Monthly 123(2016),959.
- “A letter from the editor: The long and winding road,” Amer. Math. Monthly 123(2016),955-958.
- “From the guest editors,” (with J. Gallian) Amer. Math. Monthly 124(2017), 771.
- “Ethics lessons learned while editing the Monthly: Modern publishing is raising new issues,”Notices Amer. Math. Soc. 65(2018), 1270-1272.

- “How to deal with a Mathematics journal Editor,” Vietnamese translation,Newsletter of theVietnamese Mathematical Society3(2017), 10–14.
- "I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly, I”(with J. Borwein) Chinese translation,Mathematics3(2017), 207–218.
- “I prefer pi: A brief history and anthology of articles in the American Mathematical Monthly, II”(with J. Borwein) Chinese translation,Mathematics4(2017), 311–319.

- Non-Noetherian Commutative Ring Theory, (edited with S. Glaz) Kluwer Academic Publishers,Boston, 2000.
- Arithmetical Properties of Commutative Rings and Monoids(edited), Lecture Notes in Pure andApplied Mathematics,241(2005) Chapman and Hall, New York.
- Multiplicative Ideal Theory and Factorization Theory - Commutative and Non-Commutative Per-spectives(edited with M. Fontana, A. Geroldinger, and B. Olberding), Proceedings in Mathe-matics and Statistics170(2016), Springer International.
- Numerical Semigroups, IMNS 2018, (edited with V. Barucci, M. D’ana, R. Froberg) SpringerINdAM Series, 2020.