Postpublished at 16:16 British Summer Time
With that victory Jack Draper will rise to fourth in the world on Monday, meaning he will have a top four seeding for Wimbledon.
Summary
Watch live coverage of Queen's quarter-finals (UK only)
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British number one Jack Draper beats Brandon Nakashima 6-4 5-7 6-4 to reach Queen's last four for first time
Top seed Carlos Alcaraz beats Arthur Rinderknech 7-5 6-4 to reach semi-finals
GB's Jacob Fearnley beaten 7-5 6-2 by Jiri Lehecka in last eight
Postpublished at 16:16 British Summer Time
Kessler holdspublished at 16:16 British Summer Time
Kessler 6-3 2-4 Boulter*
Great response from Kessler, holding to 30 after Boulter wallops a forehand long.
Postpublished at 16:13 British Summer Time
Draper writes "SF in London" on the camera lens, plus something else but just looked like a smudgy scribble to me Might have been his name.
Boulter holdspublished at 16:12 British Summer Time
*Kessler 6-3 1-4 Boulter
Katie Boulter's in complete control in the second set. She cements her break with a quick hold to 15.
Postpublished at 16:12 British Summer Time
Nakashima is applauded off the court - including by Draper. He played his part in an excellent match.
'He's done it!'published at 16:11 British Summer Time
Andrew Cotter
Commentator on BBC TVHe's done it. With a hard fought win over Nakashima.
Boulter breakspublished at 16:11 British Summer Time
Kessler 6-3 1-3 Boulter*
And while Draper's just wrapped up his match, Katie Boulter has broken in the second set.
At deuce McCartney Kessler hits a criminal double fault, and then Boulter gets out of the game with a clutch cross-court backhand into the corner.
Game, set and match - Draperpublished at 16:10 British Summer Time
Nakashima 4-6 7-5 4-6 Draper
He does!
Draper is through to the semi-finals at Queen's!
What a hard-fought win for the British number one.
Postpublished at 16:10 British Summer Time
Andrew Cotter
Commentator on BBC TVThat was an inch perfect for Draper! Brilliant defence from Nakashima.
Postpublished at 16:10 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
Draper takes the next point and he has match point.
A big, big roar from the crowd. Will Draper get the job done?
Postpublished at 16:09 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
A big roar from Draper as Nakashima can only send a return long from a fierce serve.
Deuce.
Postpublished at 16:08 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
Oooh that looks close but Draper nails the forehand down the line.
One break point saved...
Postpublished at 16:07 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
A big overhead smash by Nakashima at the net and he has two break points...
Postpublished at 16:07 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
But a 14th ace of the match has Draper up and running.
Postpublished at 16:07 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
It isn't going to plan at the moment for Draper as he finds himself 0-30 down on his serve...
Postpublished at 16:06 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
A change of racquet for Draper as he serves for a place in the semi-finals.
'Nakashima has done nothing wrong'published at 16:05 British Summer Time
John Lloyd
Former GB Davis Cup captain on BBC TVThat's what he has to do Nakashima. In his head he will be thinking he has done nothing wrong.
Nakashima holdspublished at 16:03 British Summer Time
Nakashima 4-6 7-5 4-5 Draper*
Nakashima stays in this with the hold, the highlight of that game for the American being a superb forehand into the corner.
He's played well, but Draper has a huge chance to get the job done now.
Image source, Getty ImagesBoulter holdspublished at 16:03 British Summer Time
*Kessler 6-3 1-2 Boulter
In the heat, neither players are fancying getting locked into long rallies. Boulter quickly wraps up her next service game, relying on some strong serves and baseline hitting.
Postpublished at 16:01 British Summer Time
Kessler 6-3 1-1 Boulter*
A standard hold from Kessler, to 15. We stay on serve.
