(*Below, ** denotes an undergraduate coauthor and * denotes a graduate student coauthor*)**Refereed Research Papers**

[47] *An infinite cardinal-valued Krull dimension for rings* (with Alan Loper and Zak Mesyan), Journal of Algebra **517** (2019), 223-248.

[46] *Residually small commutative rings* (with Adam Salminen), Journal of Commutative Algebra **10** (2018), no. 2, 187-211.

[45] *Residual smallness in commutative algebra* (with Adam Salminen), Communications in Algebra **46** (2018), no. 5, 2109-2122.

[44] *Elementarily lambda-homogeneous binary functions*, Algebra Universalis **78** (2017), no. 2, 147-157.

[43] *Factorization theory of root closed monoids of small rank* (with Jim Coykendall), Communications in Algebra **45** (2017), no. 7, 2795-2808.

[42] *Polynomial and power series rings with finite quotients* (with Adam Salminen), Houston Journal of Mathematics **43** (2017), no. 1, 31-38.

[41]* Turning automatic continuity around: automatic homomorphisms* (with Ryan Berndt), Real Analysis Exchange **41** (2016), no. 2, 271-286.

[40] *Divisible multiplicative groups of fields*, Journal of Algebra **453** (2016), 177-188.

[39] *The axiomatizability of the class of root closed monoids* (with Alan Loper and Nick Werner), Semigroup Forum **91** (2015), no. 3, 737-740.

[38] *The theory of integrally closed domains is not finitely axiomatizable*, Mathematical Logic Quarterly **61** (2015), no. 1-2, 120-122.

[37] *A note on strongly Jonsson binary relational structures*, Algebra Universalis **73** (2015), no. 1, 97-101.

[36] *Strongly Jonsson and strongly HS modules*, Journal of Pure and Applied Algebra **218** (2014), no. 8, 1385-1399.

[35] *Commutative rings with infinitely many maximal subrings* (with Alborz Azarang), Journal of Algebra and Its Applications **13** (2014), no. 6, 1450037, 29 pp.

[34] *Small and large ideals of an associative ring*, Journal of Algebra and Its Applications **13** (2014), no. 5, 1350151, 20 pp.

[33] *Modules which are isomorphic to their factor modules* (with Adam Salminen), Communications in Algebra **41** (2013), no. 4, 1300-1315.

[32] *Jonsson posets and unary Jonsson algebras* (with Keith Kearnes), Algebra Universalis **69** (2013), no. 3, 101-112.

[31] *Rings whose multiplicative endomorphisms are power functions*, Semigroup Forum **86** (2013), no. 2, 272-278.

[30] *Rings which admit faithful torsion modules II *(with Ryan Schwiebert*), Journal of Algebra and Its Applications **11** (2012), no. 3, 1250054, 12 pp.

[29] *Rings which admit faithful torsion modules* (with Ryan Schwiebert*), Communications in Algebra **40 **(2012), no. 6, 2184-2198.

[28] *On modules whose proper homomorphic images are of smaller cardinality* (with Adam Salminen), Canadian Mathematical Bulletin **55** (2012), no. 2, 378-389.

[27] *On elementarily kappa-homogeneous unary structures*, Forum Mathematicum **23** (2011), no. 4, 791-802.

[26] *Cardinalities of residue fields of Noetherian integral domains* (with Keith Kearnes), Communications in Algebra **38** (2010), no. 10, 3580-3588.

[25] *Jonsson modules over Noetherian rings*, Communications in Algebra **38** (2010), no. 9, 3489-3498.

[24] *On the axiom of union*, Archive for Mathematical Logic **49** (2010), no. 3, 283-289.

[23] *More results on congruent modules*, Journal of Pure and Applied Algebra **213** (2009), no. 11, 2147-2155.

[22] *On modules M for which N~M for every submodule N of size |M|*, Journal of Commutative Algebra **1** (2009), no. 4, 679-699.

[21] *Ring semigroups whose subsemigroups intersect*, Semigroup Forum **79** (2009), no. 2, 413-416.

[20] *Ring semigroups whose subsemigroups form a chain*, Semigroup Forum **78** (2009), no. 2, 371-374.

[19] *Some results on Jonsson modules over a commutative ring*, Houston Journal of Mathematics **35** (2009), no. 1, 1-12.

[18] *On infinite modules M over a Dedekind domain for which N~M for every submodule N of cardinality |M|*, Rocky Mountain Journal of Mathematics **39** (2009), no. 1, 259-270.

[17] *A note on the n-generator property for commutative monoids*, Semigroup Forum **74** (2007), no. 1,155-158.

**Refereed Survey Papers**

[16] *Unifying some notions of infinity in ZC and ZF*, Reports on Mathematical Logic** 51** (2016), 43-56.

[15] *Jonsson and HS modules over commutative rings*, International Journal of Mathematics and Mathematical Sciences (2014), 120907, 13 pp.

**Miscellaneous Refereed Publications**

[14] *Problem-posing: a look behind the scenes*, Pi Mu Epsilon Journal, 10 pages (to appear)

[13] *Infinite sums in totally ordered abelian groups* (with Caitlin Randall** and Logan Robinson**), Involve **12** (2019), no. 2, 281-300. (text coming soon)

[12] *Rings isomorphic to their nontrivial subrings* (with Jacob Lojewski**), Involve **11** (2018), no. 5, 877-883.

[11] *A short proof of the Bolzano-Weierstrass Theorem* (with Katrina Biele**), College Mathematics Journal **48** (2017), no. 4, 288-289.

[10] *A radical excursion: from irrational roots to Prufer domains and back* (with Ben Griffith**), Pi Mu Epsilon Journal, **14** (2016), no. 5, 327-332.

[9] *Game show shenanigans: Monty Hall meets mathematical logic *(with Greg Morrow and Adam Salminen), Elemente der Mathematik **71** (2016), no. 4, 145-155.

[8] *I'm thinking of a number... *(with Adam Hammett), Missouri Journal of Mathematical Sciences **28** (2016), no. 1, 31-48.

[7] *A characterization of the cyclic groups by subgroup indices *(with Victoria Slattum**), College Mathematics Journal **47** (2016), no. 1, 29-33.

[6] *The converse of the Intermediate Value Theorem: from Conway to Cantor to cosets and beyond*, Missouri Journal of Mathematical Sciences **26** (2014), no. 2, 134-150.

[5] *Groups whose subgroups have distinct cardinalities*, Pi Mu Epsilon Journal **14** (2014), no. 1, 31-37.

[4] *Group permutations which preserve subgroups* (with Veronica Marth**), Pi Mu Epsilon Journal **13** (2012), no. 7, 407-414.

[3] *The number of homomorphic images of an abelian group*, International Journal of Algebra **5** (2011), no. 3, 107-115.

[2] *An independent axiom system for the real numbers*, College Mathematics Journal **40** (2009), no. 2,78-86.

**Book Chapter**

[1] *Jonsson modules over commutative rings*, Chapter 1 of "Commutative Rings: New Research", Nova Science Publishers, New York (2009), 1-6. (invited chapter)

**Problems Posed**

[56] *Problem #???* (with Luke Harmon*), Mathematics Magazine (to appear)

[55] *Problem #???*, College Mathematics Journal (to appear)

[54] *Problem #??? *(with Adam Salminen), American Mathematical Monthly (to appear)

[53] *Problem #???*, College Mathematics Journal (to appear)

[52] *Problem #???* (with Ikko Saito), Pi Mu Epsilon Journal (to appear)

[51] *Problem #1334*, College Mathematics Journal **49** (2018), no. 4, p. 296.

[50] *Problem #12036*, American Mathematical Monthly **125** (2018), no. 4, p. 370.

[49] *Problem #2043* (with Adam Salminen), Mathematics Magazine **91** (2018), no. 2, p. 151.

[48] *Problem #1125*, College Mathematics Journal **49** (2018), no. 2, p. 141.

[47] *Problem #1078*, Mathematics Magazine **91** (2018), no. 1, p. 72.

[46] *Problem #1118 *(with Logan Robinson**), College Mathematics Journal **49** (2018), no. 1, p. 61.

[45] *Problem #12010* (with Adam Salminen), American Mathematical Monthly **124** (2017), no. 10, p. 971.

[44] *Problem #1111*, College Mathematics Journal **48** (2017), no. 5, p. 370.

[43] *Problem #1106*, College Mathematics Journal **48** (2017), no. 4, p. 292.

[42] *Problem #2019*, Mathematics Magazine **90** (2017), no. 2, p. 145.

[41] *Problem #353* (with Adam Hammett), Math Horizons **23** (2017), no. 3, p. 30.

[40] *Problem #1104*, College Mathematics Journal **48** (2017), no. 3, p. 220.

[39] *Problem #1103*, College Mathematics Journal **48** (2017), no. 3, p. 220.

[38] *Problem #1332*, Pi Mu Epsilon Journal, Spring 2017, p. 3.

[37] *Problem #1331*, Pi Mu Epsilon Journal, Spring 2017, p. 2.

[36] *Problem #1096* (with Adam Salminen), College Mathematics Journal **48** (2017), no. 2, p. 138.

[35] *Problem #1095 *(with Keith Kearnes), College Mathematics Journal **48** (2017), no. 1, p. 59.

[34] *Problem #1093*, College Mathematics Journal **48** (2017), no. 1, p. 58.

[33] *Problem #2009*, Mathematics Magazine **89** (2016), no. 5, p. 379.

[32] *Problem #11943* (with Keith Kearnes), American Mathematical Monthly **123** (2016), no. 10, p. 1050.

[31] *Problem #1078*, College Mathematics Journal **43** (2016), no. 3, pp. 221-222.

[30] *Problem #1998*, Mathematics Magazine **89** (2016), no. 3, pp. 223-224.

[29] *Problem #11887 *(with Luke Harmon*), American Mathematical Monthly **123** (2016), no. 2, p. 197.

[28] *Problem #1067*, College Mathematics Journal **47** (2016), no. 1, p. 61.

[27] *Problem #1054*, College Mathematics Journal **46** (2015), no. 3, p. 221.

[26] *Problem #326* (with Alan Loper), Math Horizons **23** (2015), no. 1, p. 30.

[25] *Problem #318*, Math Horizons **22** (2015), no. 3, p. 30.

[24] *Problem #11813*, American Mathematical Monthly **122** (2015), no. 1, p. 76.

[23] *Problem #11750*, American Mathematical Monthly **121** (2014), no. 1, p. 83.

[22] *Problem #1934*, Mathematics Magazine **86** (2013), no. 5, p. 382.

[21] *Problem #1011*, College Mathematics Journal **44** (2013), no. 5, p. 437.

[20] *Problem #1006*, College Mathematics Journal **44** (2013), no. 4, p. 325.

[19] *Problem #11702*, American Mathematical Monthly **120** (2013), no. 4, p. 365.

[18] *Problem #11658*, American Mathematical Monthly **119** (2012), no. 7, p. 608.

[17] *Problem #985*, College Mathematics Journal **43** (2012), no. 4, p. 338.

[16] *Problem #1900*, Mathematics Magazine **85** (2012), no. 3, p. 229.

[15] *Problem #977*, College Mathematics Journal **43** (2012), no. 3, p. 257.

[14] *Problem #968*, College Mathematics Journal **43** (2012), no. 1, p. 95.

[13] *Problem #11617*, American Mathematical Monthly **119** (2012), no. 1, p. 68.

[12] *Problem #946*, College Mathematics Journal **42** (2011), no. 2, p. 151.

[11] *Problem #940*, College Mathematics Journal **41** (2010), no. 5, p. 410.

[10] *Problem #1211*, Pi Mu Epsilon Journal, Fall 2009, p. 560.

[9] *Problem #11451*, American Mathematical Monthly **116** (2009), no. 7, p. 648.

[8] *Problem #1825 *(with Kevin Schoenecker), Mathematics Magazine **82** (2009), no. 3, p. 228.

[7] *Problem #892*, College Mathematics Journal **40** (2009), no. 1, p. 55.

[6] *Problem #1810*, Mathematics Magazine **81** (2008), no. 5, p. 376.

[5]* Problem #871*, College Mathematics Journal **39** (2008), no. 2, p. 153.

[4] *Problem #11284*, American Mathematical Monthly **114** (2007), no. 4, p. 358.

[3] *Problem #203*, Math Horizons, **14** (2006), no. 1, p. 40.

[2] *Problem #820*, College Mathematics Journal **37** (2006), no. 1, p. 60.

[1] *Problem #11166*, American Mathematical Monthly **112** (2005), no. 7, p. 654.