Anthony JW Hilton

Anthony JW Hilton (born April 4, 1941 ) is a British mathematician who deals with combinatorics .

Hilton studied from 1959 at the University of Reading with a bachelor's degree in 1963 and a doctorate in 1967 with David Daykin (Representation theorems for integers and real numbers) . From 1964 he was assistant lecturer there and from 1966 lecturer . In 1980 he became a reader and from 1992 he had a full professorship there. In 2005 he retired.

1982 to 1984 he was visiting scholar at the Open University , 1986/87 visiting professor at Auburn University , 1990 to 1998 regular visiting professor at West Virginia University and 2005 visiting professor at Eastern Kentucky University .

In 1998 he received the Euler Medal . The laudatory speech highlighted his leading role in the development of combinatorics in Great Britain, as well as his research in the field of graph coloring and the embedding of combinatorial structures, where he was a pioneer in two successful embedding techniques. One uses edge coloring and generalized results from Philip Hall , Herbert Ryser, and A. Cruse. He used this method for the proof of the Lindner conjecture, the Evans conjecture and for the proof of optimal embedding results for partially idempotent Latin squares . His second method uses amalgamation . He succeeded in finding a partial solution to a conjecture about the optimal embedding of partial triple systems. He also had a leading role in the field of combinatorial evidence and pursued the connection between design theory and graph theory by introducing graph theoretical concepts such as edge coloring and connection (connectivity) into design theory .

He also dealt with graph theory in the narrower sense (he proved, among other things, that regular graphs with a high maximum degree have a 1-factorization ) and with the theory of extremal sets, where he a conjecture by Paul Erdős , Ko and Richard Rado about the size of Solved anti-chains in set systems, generalized Sperner's theorem and gave a simple proof of Kruskal-Katona's theorem.

Since 1989 he has been co-editor of the Journal for Combinatorial Mathematics and Combinatorial Computing .

In 1993 he organized the British Mathematical Colloquium.

Web links

• Homepage

Individual evidence

1. ^ Mathematics Genealogy Project
2. ^ The ICA Medals. Institute of Combinatorics and its Applications, accessed June 15, 2018 .