This page has copies of all of my published

papers for which I have TeX files.

Please report any problems to me at:

nhindman@aol.com

** 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**,

(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**,

(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**,

(With A. Maleki and D. Strauss)
** Linear equations in the Stone-Cech compactification of N**,

(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**,

(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**,

(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
*