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Professor Neil Hindman, Ph.D.

Education:
Ph. D. (1969) Wesleyan University

Research Area: Topological Semigroups

I study the algebraic structure of the Stone-Cech compactification of a discrete semigroup and its applications to Ramsey Theory. The latter field is a branch of combinatorics which deals with structures that are guaranteed to be present in one cell of a finite partition of specified sets, or often in any suitably large subset thereof.

Recent Publications:

• (With D. Strauss) Independent sums of arithmetic progressions in K_m-free graphs, Ars Combinatoria 70 (2004), 221-243. (MR 2005a:05148)
• (With R. McCutcheon) Partition theorems for left and right variable words, Combinatorica 24 (2004), 271-286. (MR 2071335)
• (With T. Carlson and D. Strauss) The Graham-Rothschild Theorem and the algebra of ß W , Topology Proceedings 28 (2004), 361-399.
• (With I. Leader and D. Strauss) Forbidden distances in the rationals and the reals. J. London Math. Soc., to appear. (Accepted 8/18/03)
• (With T. Carlson and D. Strauss) Ramsey theoretic consequences of some new results about algebra in the Stone-\v Cech compactification, Integers, to appear. (Accepted 10/1/04)
• (With T. Carlson and D. Strauss) An infinitary extension of the Graham-Rothschild Parameter Sets Theorem, Trans. Amer. Math. Soc., to appear. (Accepted 10/9/04)
• (With D. Strauss) Image partition regularity over the integers, rationals, and reals, New York J. Math., to appear. (Accepted 10/21/04)
• (With T. Carlson, J. McLeod, and D. Strauss) Almost disjoint large subsets of semigroups, Topology and its Applications, to appear. (Accepted 2/21/05)
• (With T. Carlson and D. Strauss) Discrete n-tuples in Hausdorff spaces, Fundamenta Mathematicae, to appear. (Accepted 5/2/05)

Office Hours
Current Semester Class Schedule