en>Gryllida: creation by request (Biology) (WP:REQ)

2014-01-15T10:48:57Z

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{{BLP sources|date=January 2014}}
{{Infobox scientist
|name = Peter Keevash
|birth_date = {{birth date and age|1978|11|30|df=y}}
|birth_place = [[Brighton]], [[England]]
|death_date =
|death_place =
|residence = [[Oxford]], [[England]]
|citizenship =
|nationality = [[United Kingdom|British]]
|ethnicity =
|fields = [[Mathematics]]
|workplaces = [[California Institute of Technology]]<br>[[Queen Mary, University of London]] <br> [[University of Oxford]]
|alma_mater = [[Trinity College, Cambridge]]
|doctoral_advisor = [[Benny Sudakov]]
|awards = [[European Prize in Combinatorics]] (2009)
|religion =
|signature =
|footnotes =
}}
'''Peter Keevash''' (born 30 November 1978) is a [[United Kingdom|British]] mathematician, specializing in [[combinatorics]]. He is a professor of mathematics at the [[University of Oxford]], and a Fellow of [[Mansfield College]].

== Early years ==
Peter Keevash was born in [[Brighton]], [[England]], but mostly grew up in [[Leeds]]. He competed in the [[International Mathematical Olympiad]] in 1995.<ref>{{IMO results |id=3964}}</ref> He entered [[Trinity College, Cambridge|Trinity College]], [[University of Cambridge]] in 1995 and completed his [[Bachelor of Arts|B.A.]] in mathematics in 1998. He earned his doctorate from [[Princeton University]] with [[Benny Sudakov]] as advisor. He took a postdoctoral position at the [[California Institute of Technology]] before moving to [[Queen Mary, University of London]] as a lecturer, and subsequently professor, before his move to Oxford in September 2013.

== Mathematics ==

Keevash has published many results in [[combinatorics]], particularly in extremal graph and hypergraph theory and [[Ramsey Theory]]. In joint work with Tom Bohman<ref>http://arxiv.org/abs/1302.5963</ref> he established the best-known lower bound for the off-diagonal [[Ramsey Number]] <math> R(3,k) </math>, namely <math> R(3,k) \geq (\frac{1}{4} - o(1))k^2/\log k.</math> (This result was obtained independently at the same time by Fiz Pontiveros, Griffiths and Morris.<ref>http://arxiv.org/abs/1302.6279</ref>)

In early 2014 he released a preprint <ref>http://arxiv.org/abs/1401.3665</ref> establishing the existence of [[Block design]]s with arbitrary parameters, provided only that the underlying set is sufficiently large and satisfies certain obviously necessary divisibility conditions. In particular, his work provides the first examples of [[Steiner system]]s with parameter ''t'' ≥ 6 (and in fact provides such systems for all ''t'').

== References ==
{{reflist}}

== External links ==
*[http://people.maths.ox.ac.uk/keevash/ Peter Keevash Homepage at University of Oxford]

{{Persondata 
| NAME = Keevash, Peter
| ALTERNATIVE NAMES =
| SHORT DESCRIPTION = British mathematician
| DATE OF BIRTH = 30 November 1978
| PLACE OF BIRTH = [[Brighton]], [[England]]
| DATE OF DEATH =
| PLACE OF DEATH =
}}
{{DEFAULTSORT:Keevash, Peter}}
[[Category:1978 births]]
[[Category:Living people]]
[[Category:Alumni of Trinity College, Cambridge]]
[[Category:English mathematicians]]
[[Category:20th-century mathematicians]]
[[Category:21st-century mathematicians]]
[[Category:Combinatorialists]]
[[Category:International Mathematical Olympiad participants]]

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en>Gryllida: creation by request (Biology) (WP:REQ)