| Peter Keevash | |
| Birth Date: | 30 November 1978 |
| Birth Place: | Brighton, England |
| Fields: | Mathematics |
| Workplaces: | California Institute of Technology Queen Mary, University of London University of Oxford |
| Alma Mater: | Trinity College, Cambridge |
| Doctoral Advisor: | Benny Sudakov |
| Awards: | European Prize in Combinatorics (2009) Whitehead Prize (2015) |
Peter Keevash (born 30 November 1978) is a British mathematician, working in combinatorics. He is a professor of mathematics at the University of Oxford and a Fellow of Mansfield College.
Keevash was born in Brighton, England, but mostly grew up in Leeds. He competed in the International Mathematical Olympiad in 1995. He entered Trinity College, University of Cambridge, in 1995 and completed his 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.
R(3,k)
R(3,k)\geq\left(
| 1 | |
| 4 |
-o(1)\right)
| k2 | |
| logk |
.
On 15 January 2014, he released a preprint[3] establishing the existence of block designs 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 systems with parameter t ≥ 6 (and in fact provides such systems for all t).
In 2018, he was an invited speaker at the International Congress of Mathematicians in Rio de Janeiro.