Venue: Roland Garros, Paris Date: 23 May-6 June
Coverage: Live video streamed from 1000 BST on BBC Sport website (UK only) and BBC red button; commentary on BBC 5 live sports extra; also live on Eurosport; text commentary on BBC Sport website
Details of BBC coverage
Highlights - Serena sees off Peer
By Piers Newbery
BBC Sport at Roland Garros
Serena Williams saw off Shahar Peer in straight sets to set up a French Open quarter-final against Australian Sam Stosur.
The world number one needed just 67 minutes to win her fourth-round match 6-2 6-2 on Court Philippe Chatrier, and will now face Stosur, who upset four-time champion Justine Henin.
Williams had won all four previous meetings with Peer, the world number 18, and never looked like suffering a first defeat on Monday.
The American made a slow start in the cold conditions, losing the first seven points, but then set about the task at hand with five points in a row to level at 1-1.
I seem to always be able to turn it up during this particular stage
Peer struggled to cope with the depth and pace of the top seed's groundstrokes and it was no surprise when Williams moved ahead with a break at 4-2, repeating the feat minutes later to seal the set.
There was a brief moment of discomfort for the 2002 champion when she was broken back midway through the second set but Williams was able to up the pace seemingly at will, reeling off the final three games to reach the last eight at Roland Garros for the seventh time.
"I felt really powerful today and strong and able to dictate," Williams said afterwards. "Even though sometimes she put me on the run, I felt like I was able to still be on the offence.
"Sometimes I was on the defence and just trying to turn that into offence. It was definitely a really good feeling.
"I seem to always be able to turn it up during this particular stage maybe, the fourth round, for some reason. Hopefully I turn it up again."
And on facing Stosur in the last eight rather than the expected showdown with Henin, the American added: "You can never underestimate anyone, and Sam is actually a wonderful clay-court player. I think she proved that last year, and this year I think she's only lost twice on the clay.
"So she's someone you can't overlook. She has a good chance to go all the way."
In Monday's last game on Court Phillipe Chatrier, number four Jelena Jankovic produced just 11 unforced errors in a comfortable 6-4 6-2 win over 23rd seed Daniela Hantuchova.
The Serb, a semi-finalist at Roland Garros on two occasions, will now meet Kazakhstan's unseeded Yaroslava Shvedova who defeated Australian Jarmila Groth 6-4 6-3.