Here are the Vols' updated ATP Tour rankings as of July 29, 2013. The Vols are listed by highest singles ranking first. The number in parenthesis denotes change from previous week.
Singles: 116 (+5)
Doubles: 161 (-16)
Note: Last week reached the second round of BB&T Atlanta Open, an ATP 250 event. He lost to former world No. 1 Lleyton Hewitt 7-6, 6-4 ... No. 116 is a career best for Williams ... Played the Citi Open this week in Washington, D.C., where he lost to Somdev Devvarman 7-5, 6-1.
Singles: 245 (+8)
Doubles: 137 (-4)
Note: Reached the quarterfinals of the $50,000 Lexington Challenger last week in Kentucky ... Wild card this week at the $100,000 Vancouver Challenger, where he lost in the first round in singles and doubles ...
Singles: 324 (0)
Doubles: 69 (+2)
Note: Lost in the first round of singles at the $50,000 Lexington Challenger last week ... Qualified in singles for the Vancouver Challenger but lost in the opening round. Set to play doubles later today as the No. 2 seed.
Singles: 686 (+2)
Doubles: 675 (+282)
Note: Career high in doubles after reaching the finals of a $15,000 Futures in Italy earlier this month and winning a round at the Orbetello Challenger ... Lost in the first round of singles this week at a $15,000 Futures in La Spezia, Italy.
Singles: 1002 (-3)
Doubles: 764 (-2)
Note: Off last week ... Off this week.