Professor of Pure Mathematics
Research Interests: Extremal Combinatorics, Ramsey Theory
Publications
Infinite partition regular matrices: solutions in central sets
– Transactions of the American Mathematical Society
(2002)
355,
1213
Image partition regular matrices—bounded solutions and preservation of largeness
– Discrete Mathematics
(2002)
242,
115
A conjecture concerning a limit of non-Cayley graphs
– Journal of Algebraic Combinatorics. An International Journal
(2001)
14,
17
(doi: 10.1023/A:1011257718029)
Independent arithmetic progressions in clique-free graphs on the natural numbers
– Journal of Combinatorial Theory, Series A
(2001)
93,
1
(doi: 10.1006/jcta.1999.3007)
Continuous homomorphisms on $β\bf N$ and Ramsey theory
– New York Journal of Mathematics
(2000)
6,
73
Minimizing the absolute upper shadow
(2000)
95
The number of $k$-sums modulo $k$
– Journal of Number Theory
(1999)
78,
27
(doi: 10.1006/jnth.1999.2405)
Additive and Multiplicative Ramsey Theory in the Reals and the Rationals
– Journal of Combinatorial Theory. Series A
(1999)
85,
41
(doi: 10.1006/jcta.1998.2892)
Partition regular inequalities
– European Journal of Combinatorics
(1998)
19,
573
(doi: 10.1006/eujc.1998.0213)
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