# Dominic Welsh

**James Anthony Dominic Welsh** (born 29 August 1938)[1][2] is an English mathematician, an emeritus professor of Oxford University's Mathematical Institute. He is an expert in matroid theory,[3] the computational complexity of combinatorial enumeration problems, percolation theory, and cryptography.

## Biography

Welsh obtained his DPhil from Oxford University under the supervision of John Hammersley.[4] After working as a researcher at Bell Laboratories, he joined the Mathematical Institute in 1963, and became a fellow of Merton College, Oxford in 1966. He chaired the British Combinatorial Committee from 1983 to 1987.[2] Welsh was given a personal chair in 1992, and retired in 2005.[2] He supervised 28 doctoral students.[5]

## Books

*Matroid Theory*(LMS Monographs, vol. 8, Academic Press, 1976, MR0427112, reprinted by Dover Publications, 2010, ISBN 978-0486474397)*Probability: An Introduction*(with Geoffrey Grimmett, Oxford University Press, 1986, ISBN 0-19-853264-4, MR0869591)*Codes and Cryptography*(Oxford University Press, 1988, ISBN 978-0198532873, MR0959137)*Complexity: Knots, Colourings and Counting*(LMS Lecture Notes, vol. 186, Oxford University Press, 1993, ISBN 0-521-45740-8, MR1245272)*Complexity and Cryptography: An Introduction*(with John Talbot, Cambridge University Press, 2006, MR2221458)[6]

## Awards and honours

Welsh received an honorary doctorate from the University of Waterloo in 2006.[2]

In 2007, Oxford University press published *Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh*, an edited volume of research papers dedicated to Welsh.

The Russo–Seymour–Welsh estimate in percolation theory is partly named after Welsh.

## References

- Levens, R.G.C., ed. (1964).
*Merton College Register 1900-1964*. Oxford: Basil Blackwell. p. 497. - Prof Dominic J A Welsh, Debrett's, retrieved 2012-03-11.
- Oxley, James (2007), "The contributions of Dominic Welsh to matroid theory", in Grimmett, Geoffrey; McDiarmid, Colin (eds.),
*Combinatorics, Complexity, and Chance: A Tribute to Dominic Welsh*(PDF), pp. 234–259, CiteSeerX 10.1.1.62.6989, doi:10.1093/acprof:oso/9780198571278.003.0015, ISBN 9780198571278. - Dominic J. A. Welsh at the Mathematics Genealogy Project
- David R. Wood. "The Academic Family Tree of Dominic Welsh" (PDF).
- Review of
*Complexity and Cryptography*by J. Rothe (2007),*SIGACT News***38**(2): 16–20, doi:10.1145/1272729.1272735.