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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
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Gonzalo Fiz
Pontiveros; Griffiths, Simon; Morris, Robert (2013). "The triangle-free process and R(3,k)".
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480:(This result was obtained independently at the same time by Fiz Pontiveros, Griffiths and Morris.)
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Bohman, Tom; Keevash, Peter (2013). "Dynamic concentration of the triangle-free process".
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September 2013.
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473:{\displaystyle R(3,k)\geq \left({\frac {1}{4}}-o(1)\right){\frac {k^{2}}{\log k}}.}
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On 15 January 2014, he released a preprint establishing the existence of
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from the article and its talk page, especially if potentially
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in mathematics in 1998. He earned his doctorate from
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Peter
Keevash home page at the University of Oxford
643:Keevash, Peter (2014). "The existence of designs".
317:as advisor. He took a postdoctoral position at the
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725:International Mathematical Olympiad participants
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496:≥ 6 (and in fact provides such systems for all
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126:Learn how and when to remove this message
675:"A Design Dilemma Solved, Minus Designs"
509:International Congress of Mathematicians
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333:Keevash has published many results in
735:Academics of the University of Oxford
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715:21st-century English mathematicians
710:20th-century English mathematicians
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372:{\displaystyle R(3,k)}
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297:in 1995. He entered
293:. He competed in the
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519:References
154:1978-11-30
86:newspapers
650:1401.3665
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608:1302.5963
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423:−
405:≥
379:, namely
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38:citations
287:Brighton
165:Brighton
64:libelous
573:at the
557:10 June
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100:scholar
679:Quanta
217:Fields
205:(2015)
200:(2009)
194:Awards
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645:arXiv
624:arXiv
603:arXiv
551:(PDF)
536:(PDF)
313:with
291:Leeds
107:JSTOR
93:books
31:This
559:2015
307:B.A.
148:Born
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