(With D. Strauss) Thick sets are exactly the sets with Folner density 1 Semigroup Forum109 (2024), 424-432.

(With D. Strauss) Algebra in the Stone-Cech compactification -- an update Topology Proceedings 69 (2024), 1-69.

(With H. Hosseini, D. Strauss, and M. Tootkaboni) Combinatorially rich sets in arbitrary semigroups Semigroup Forum 107 (2023), 127-143.

(With M. Ivan and I. Leader) Some new results on monochromatic sums and products in the rationals New York J. Math. 29 (2023), 301-322.

(With D. Strauss) Image partition regular matrices and concepts of largeness, II Topology Proceedings 61 (2023), 49-76.

(With D. Strauss) Some new results about left ideals of beta S`} New York J. Math. 28 (2022), 970-992.

(With V. Bergelson)) Some new multi-cell Ramsey Theoretic results Proc. Amer. Math. Soc. Ser. B 8 (2021), 358-370.

(With D. Strauss) Algebraic products of tensor products Semigroup Forum 103 (2021), 888-898.

(With D. Strauss) Strongly image partition regular matrices Integers 21A (2021), #A15.

(With D. Strauss) Minimal left ideals of beta S with isolated points New York J. Math. 27 (2021), 417-436.

(With K. Pleasant) Central Sets Theorem for arbitrary adequate partial semigroups Topology Proceedings 58 (2021), 183-206.

(With D. Strauss) Some properties of Cartesian products and Stone-Cech compactitications Topology Proceedings 57 (2021), 279-304.

(With W. Brian) Factoring a minimal ultrafilter into a thick part and a syndetic part Fund. Math. 252 (2021), 121-145.

The research of seven students at Howard University Contemporary Mathematics 759 (2020), 135-144.

(With D. Strauss) Some new results about the ubiquitous semigroup H Fund. Math. 251 (2020), 87-108.

(With D. Strauss) Image partition regular matrices and concepts of largeness New York J. Math. 26 (2020), 230-260.

Notions of size in a semigroup -- an update from a historical perspective Semigroup Forum 100 (2020), 52-76.

A history of central sets Ergodic Theory and Dynamical Systems 40 (2020), 1-33.

(With D. Strauss and L. Zamboni) Combining extensions of the Hales-Jewett Theorem with Ramsey Theory in other structures Electronic J. Comb. 26(4) (2019), #P4.23.

(With D. Strauss) Some new results about the smallest ideal of beta S New York J. Math. 25 (2019), 897-913.

(With L. Jones and D. Strauss) The relationships among many notions of largeness for subsets of a semigroup Semigroup Forum 99 (2019), 9-31.

(With D. Strauss) Image partition regularity of matrices over commutative semigroups Topology and its Applications 259 (2019), 179-202.

Research of Wis Comfort on ultrafilters and the Stone-Cech compactification Topology and its Applications 259 (2019), 40-46.

(With D. Strauss) Some new examples of infinite image partition regular matrices Integers 19 (2019), Article A5.

(With D. Strauss) Sets and mappings in beta S which are not Borel New York J. Math. 24 (2018), 689-701.

Recent results on partition regularity of infinite matrices, in Connections in Discrete Mathematics, S. Butler, J. Cooper, and G. Hurlbert, editors, Cambridge University Press, Cambridge, 2018, 200-213.

(With K. Pleasant) Preserving integer images of matrices Integers 18B (2018), Article A5.

(With D. Strauss and L. Zamboni) Recurrence in the dynamical system (X,(T_s)_{s in S}) and ideals of beta S Indagationes Mathematicae 29 (2018), 293-312.

(With D. Strauss) Long increasing chains of idempotents in beta G Fund. Math. 240 (2018), 1-13.

(With D. Strauss) Infinite compact sets of idempotents in beta S Semigroup Forum 95 (2017), 415-417.

(With I. Leader and D. Strauss) Pairwise sums in colourings of the reals Abh. Math. Semin. Univ. Hambg. 87 (2017), 275-287.

(With I. Leader and D. Strauss) Duality for image and kernel partition regularity of infinite matrices Journal of Combinatorics 8 (2017), 653-672.

(With D. Strauss) The scarcity of products in beta S \ S Topology and its Applications 220 (2017), 50-64.

(With D. Strauss) Topological properties of some algebraically defined subsets of beta N Topology and its Applications 220 (2017), 43-49.

(With D. Strauss) Separating linear expressions in the Stone-Cech compactification of direct sums Topology and its Applications 213 (2016), 199-211.

(With K. Pleasant) Preserving positive integer images of matrices, New York J. Math. 22 (2016), 1021-1037.

(With B. Barber, I. Leader, and D. Strauss) Partition regularity without the columns property, Proc. Amer. Math. Soc. 143 (2015), 3387-3399.

(With I. Leader and D. Strauss) Extensions of infinite partition regular systems, Electronic J. Comb. 22(2) (2015), #P2.29.

(With L. Jones and M. Peters) Left large subsets of free semigroups and groups that are not right large, Semigroup Forum 90 (2015), 374-385.

(With B. Barber, I. Leader, and D. Strauss) Distinguishing subgroups of the rationals by their Ramsey properties, J. Comb. Theory (Series A) 129 (2014), 93-104.

(With D. Strauss) Separating Milliken-Taylor systems in Q, J. Comb. 5 (2014), 305-333.

(With V. Bergelson and K. Williams) Polynomial extensions of the Milliken-Taylor Theorem, Trans. Amer. Math. Soc. 366 (2014), 5727-5748.

(With D. Gunderson and H. Lefmann) Some partition theorems for infinite and finite matrices, Integers 14 (2014), Article A12.

(With D. Davenport, I. Leader, and D. Strauss) Multiply partition regular matrices, Discrete Math. 322 (2014), 61-68.

(With L. Jones) Idempotents in beta S that are only products trivially, New York J. Math. 20 (2014), 57-80.

(With E. Tressler) The first nontrivial Hales-Jewett number is four, Ars Combinatoria 113 (2014), 385-390.

(With H. Jordan) On the size of minimal Hales-Jewett sets, Scientiae Mathematicae Japonicae 76 (2013), 195-207.

(With B. Barber and I. Leader) Partition regularity in the rationals, J. Comb. Theory (Series A) 120 (2013), 1590-1599.

(With D. Phulara) Some new additive and multiplicative Ramsey numbers, J. Comb. 4 (2013), 81-93.

(With M. Bucci, S. Puzynina, and L. Zamboni) On additive properties of sets defined by the Thue-Morse word, J. Comb. Theory (Series A) 120 (2013), 1235-1245.

(With D. Strauss and Y. Zelenyuk) Longer chains of idempotents in beta G, Fund. Math. 220 (2013), 243-261.

(With D. Strauss) The center and extended center of the maximal groups in the smallest ideal of beta N, Topology Proceedings 42 (2013), 107-119.

(With J. Johnson) Images of C sets and related large sets under nonhomogeneous spectra, Integers 12B (2012), Article 2, 1-25.

(With J. Steprans and D. Strauss) Semigroups in which all strongly sumable ultrafilters are sparse, New York J. Math. 18 (2012), 835-848.

(With V. Bergelson) Quotient sets and density recurrent sets, Trans. Amer. Math. Soc. 364 (2012), 4495-4531.

(With V. Bergelson and D. Strauss) Strongly Central Sets and Sets of Polynomial Returns mod 1, Proc. Amer. Math. Soc. 140 (2012), 2671-2686.

(With L. Legette and D. Strauss) The number of minimal left and minimal right ideals in beta S, Topology Proceedings 39 (2012), 45-68.

(With V. Bergelson and D. Strauss) Polynomials at iterated spectra near zero, Topology and its Applications 158 (2011), 1815-1830.

Monochromatic sums equal to products in N, Integers 11A (2011), Article 10, 1-10.

(With D. Strauss) Some combinatorially defined subsets of beta N and their relation to the idempotents, J. Comb. Theory (Series A)) 118 (2011), 373-386.

(With D. Strauss) Algebra in the space of ultrafilters and Ramsey Theory, Contemporary Mathematics 530 (2010), 121-145.

(With D. Strauss) More discrete copies of Z in beta N, Topology and its Applications 157 (2010), 2145-2156.

(With D. Strauss) Subsemigroups of beta S containing the idempotents, Topology Proceedings 35 (2010), 233-246.

(With D. Strauss) Cartesian products of sets satisfying the Central Sets Theorem, Topology Proceedings 35 (2010), 203-223.

(With D. Strauss) Homomorphisms on compact subsets of beta S, African Diaspora Journal of Mathematics 8 (2009), No. 2, 125-136.

(With D. Strauss) Sets satisfying the Central Sets Theorem, Semigroup Forum 79 (2009), 480-506.

(With D. Strauss) Density and invariant means in left cancellative left amenable semigroups, Topology and its Applications 156 (2009), 2614-2628.

The research of thirteen students at Howard University, Topology and its Applications 156 (2009), 2550-2559.

(With D. Strauss) A simple characterization of sets satisfying the Central Sets Theorem, New York J. Math. 15 (2009), 405-413.

Small sets satisfying the Central Sets Theorem, in Combinatorial Number Theory, B. Landman, M. Nathanson, J. Nesetril, R. Nowakowski, C. Pomerance, and A. Robertson, editors, deGruyter, Berlin, 2009, 57-64. Also published as Integers 9(Supplement) (2007), Article 5.

(With D. De) Image partition regularity near zero, Discrete Mathematics 309 (2009), 3219-3232

(With D. De and D. Strauss) Sets central with respect to certain subsemigroups of beta S_d, Topology Proceedings 33 (2009), 55-79.

(With S. Ferri and D. Strauss) Digital representation of semigroups and groups, Semigroup Forum 77 (2008), 36-63.

(With D. Strauss) Bases for commutative semigroups and groups, Math. Proc. Cambr. Phil. Soc. 145 (2008), 579-586.

(With D. De and D. Strauss) A new and stronger Central Sets Theorem , Fundamenta Mathematicae 199 (2008), 155-175.

(With C. Adams and D. Strauss) Largeness of the set of finite products in a semigroup, Semigroup Forum 76 (2008), 276-296.

(With T. Carlson, J. McLeod, and D. Strauss) Almost disjoint large subsets of semigroups , Topology and its Applications 155 (2008), 433-444.

(With M. Beiglbock, V. Bergelson, and D. Strauss) Some new results in multiplicative and additive Ramsey Theory , Trans. Amer. Math. Soc. 360 (2008), 819-847.

(With S. Burns) Quasi-central sets and their dynamical characterization, Topology Proceedings 31 (2007), 445-455.

(With D. Strauss) Characterization of simplicity and cancellativity in beta S, Semigroup Forum 75 (2007), 70-76.

(With I. Moshesh) Image partition regularity of affine transformations, J. Comb. Theory (Series A) 114 (2007), 1375-1393.

Partition regularity of matrices, in Combinatorial Number Theory, B. Landman, M. Nathanson, J. Nesetril, R. Nowakowski, and C. Pomerance, editors, deGruyter, Berlin, 2007, 265-298. Also published as Integers 7(2) (2007), A-18.

(With D. Strauss) Discrete groups in beta N, Topology and its Applications 154 (2007), 2099-2103.

(With H. Jordan) Measures of sum-free intersecting families, New York J. Math. 13 (2007), 97-106.

(With D. Strauss) Density in arbitrary semigroups , Semigroup Forum 73 (2006), 273-300.

(With I. Leader) Nonconstant monochromatic solutions to systems of linear equations, Topics in Discrete Math. Springer, Berlin, (2006), 145-154.

(With T. Carlson and D. Strauss) An infinitary extension of the Graham-Rothschild Parameter Sets Theorem, Trans. Amer. Math. Soc. 358 (2006), 3239-3262.

(With M. Beiglbock, V. Bergelson, and D. Strauss) Multiplicative Structures in Additively Large Sets , J. Comb. Theory (Series A) ) 113 (2006), 1219-1242.

(With I. Leader and D. Strauss) Forbidden distances in the rationals and reals, J. London Math. Soc. 73 (2006), 273-286.

The mathematics of Bruce Rothschild, J. Comb. Theory (Series A) 113 (2006), 2-20.

(With T. Carlson and D. Strauss) Discrete n-tuples in Hausdorff spaces , Fundamenta Mathematicae 187 (2005), 111-126.

Algebra in the Stone-Cech compactification and its applications to Ramsey Theory, Sci. Math. Jpn. 62 (2005), 321-329.

(With D. Strauss) Image partition regularity over the integers, rationals, and reals, New York J. Math. 11 (2005), 519-538.

(With T. Carlson and D. Strauss) Ramsey Theoretic consequences of some new results about algebra in the Stone-Cech compactification , Integers 5(2) (2005) #A04, 1-26.

(With T. Carlson and D. Strauss) The Graham-Rothschild Theorem and the algebra of beta W , Topology Proceedings 28 (2004), 361-399.

(With R. McCutcheon) Partition theorems for left and right variable words, Combinatorica 24 (2004), 271-286.

(With D. Strauss) Independent sums of arithmetic progressions in K_m-free graphs, Ars Combinatoria 70 (2004), 221-243.

(With R. Kopperman) Order compactifications of discrete semigroups, Topology Proceedings 27 (2003), 479-496.

The following paper by Ralph Kopperman is posted here because it is a major reference for the paper immediately above.
(Author: R. Kopperman) The Stone-Cech compactification of a partially ordered set via bitopology

(With I. Leader and D. Strauss) Open problems in partition regularity, Combinatorics, Probability, and Computing 12 (2003), 571-583.

(With I. Leader and D. Strauss) Separating Milliken-Taylor systems with negative entries, Proc. Edinburgh Math. Soc. 46 (2003), 45-61.

(With J. Pym and D. Strauss) Multiplications in additive compactifications of N and Z, Topology and its Applications 131 (2003), 149-176.

Image partition regularity over the reals, New York J. Math 9 (2003), 79-91.
http://nyjm.albany.edu:8000/j/2003/9-6.html

(With D. Strauss and Y. Zelenyuk) Large rectangular semigroups in Stone-Cech compactifications, Trans. Amer. Math. Soc. 355 (2003), 2795-2812.

(With I. Leader and D. Strauss) Infinite partition regular matrices -- solutions in central sets, Trans. Amer. Math. Soc. 355 (2003), 1213-1235.

(With D. Strauss) Recent progress in the topological theory of semigroups and the algebra of beta S, in "Recent Progress in General Topology", M. Husek and J. van Mill, eds., Elsevier (2002), 227-251.

(With I. Farah and J. McLeod) Partition theorems for layered partial semigroups, J. Comb. Theory (Series A)) 98 (2002), 268-311.

(With D. Davenport and D. Strauss) Triangle free sets and arithmetic progressions -- two Pisier type problems, Electronic J. Combinatorics 9 (2002), #R22, 1-19.

(With R. McCutcheon) One Sided Ideals and Carlson's Theorem, Proc. Amer. Math. Soc. 130 (2002), 2559-2567.

(With I. Leader and D. Strauss) Image partition regular matrices -- bounded solutions and preservation of largeness, Discrete Mathematics 242 (2002), 115-144.

(With R. McCutcheon) VIP systems in partial semigroups, Discrete Mathematics 240 (2001), 45-70.

Problems and new results in the algebra of Beta S and Ramsey Theory, in "Unsolved problems on mathematics for the 21st century", J. Abe and S. Tanaka eds., IOS Press, Amsterdam (2001), 295-305.

(With V. Bergelson) Partition regular structures contained in large sets are abundant, J. Comb. Theory (Series A) 93 (2001), 18-36.

(With D. Strauss) Infinite partition regular matrices, II -- extending the finite results, Topology Proceedings 25 (2000), 217-255.

(With D. Davenport, I. Leader, and D. Strauss) Continuous homomorphisms on Beta N and Ramsey Theory, New York J. Math. 6 (2000), 73-86.

(With A. Maleki and D. Strauss) Linear equations in the Stone-Cech compactification of N, Integers: The electronic journal of combinatorial number theory 0 (2000), #A02, 1-20.

(With R. McCutcheon) Weak VIP systems in commutative semigroups, Topology Proceedings 24 (1999), 199-221.

(With S. Garcia-Ferreira and D. Strauss) Orderings of the Stone-Cech remainder of a discrete semigroup, Topology and its Applications 97 (1999), 127-148.

(With I. Leader) The semigroup of ultrafilters near 0, Semigroup Forum 59 (1999), 33-55.

(With V. Bergelson and I. Leader) Additive and multiplicative Ramsey Theory in the reals and the rationals, J. Comb. Theory (Series A) 85 (1999), 41-68.

(With I. Protasov and D. Strauss) Topologies on S determined by idempotents in Beta S, Topology Proceedings 23 (1998), 155-190.

(With V. Bergelson and R. McCutcheon) Notions of size and combinatorial properties of quotient sets in semigroups, Topology Proceedings 23 (1998), 23-60.

(With I. Protasov and D. Strauss) Strongly summable ultrafilters on abelian groups, Matem. Studii 10 (1998), 121-132.

(With D. Strauss) An algebraic proof of Deuber's Theorem, Comb. Prob. and Comp. 7 (1998), 167-180.

(With V. Bergelson and B. Weiss) All-sums sets in (0,1] -- Category and measure, Mathematika 44 (1997), 61-87.

(With W. Deuber, D. Gunderson, and D. Strauss) Independent finite sums in K_m-free graphs, J. Comb. Theory (Series A) 78 (1997), 171-198.

(With V. Bergelson, P. Erdos, and T. Luczak) Dense difference sets and their combinatorial structure, in "The Mathematics of Paul Erdos, I", R. Graham and J.Nesetril, eds., Springer, Berlin, (1997), 165-175.

(With H. Lefmann) Canonical partition relations for (m,p,c)-systems, Discrete Math. 162 (1996), 151-174.

(With V. Bergelson) IP* sets in product spaces, in "Papers on General Topology and Applications", S. Andima et. al. eds., Annals of the New York Academy of Sciences 806 (1996), 28-41.

Algebra in betaS and its applications to Ramsey Theory, Math. Japonica 44 (1996), 581-625.

(With V. Bergelson and I. Leader) Sets partition regular for n equations need not solve n+1, Proc. London Math. Soc. 73 (1996), 481-500.

(With A. Maleki and D. Strauss) Central sets and their combinatorial characterization, J. Comb. Theory (Series A) 74 (1996), 188-208.

(With D. Strauss) Compact subsemigroups of (betaN,+) containing the idempotents, Proc. Edinburgh Math. Soc. 39 (1996), 291-307.

(With V. Bergelson and B. Kra) Iterated spectra of numbers -- elementary, dynamical and algebraic approaches, Trans. Amer. Math. Soc. 348 (1996), 893-912.

(With D. Strauss) Prime properties of the smallest ideal of betaN, Semigroup Forum 52 (1996), 357-364.

(With D. Strauss) Chains of idempotents in betaN, Proc. Amer. Math. Soc. 123 (1995), 3881-3888.

Recent results on the algebraic structure of betaS, in "Papers on General Topology and Applications", S. Andima et. al. eds., Annals of the New York Academy of Sciences 767 (1995), 73-84.

(With D. Strauss) Nearly prime subsemigroups of betaN, Semigroup Forum 51 (1995), 299-318.

(With W. Deuber, I. Leader, and H. Lefmann) Infinite partition regular matrices, Combinatorica 15 (1995), 333-355.

(With D. Strauss) Topological and algebraic copies of N* in N*, New York J. Math. 1 (1995), 111-119.

(With V. Bergelson and A. Blass) Partition theorems for spaces of variable words, Proc. London Math. Soc. 68 (1994), 449-476.

Note: My papers published before 1996 in the following journals are now available free on the journal's web page.

Canadian Journal of Mathematics
Czechoslovak Mathematics Journal
Discrete Mathematics
Journal of Combinatorial Theory (Series A)
Pacific Journal of Mathematics
Proceedings of the American Mathematical Society
Proceedings of the Edinburgh Mathematical Society
Rocky Mountain Journal of Mathematics
Topology and Its Applications
Transactions of the American Mathematical Society