MELBOURNE — No woman has come close to rivaling Serena Williams since she finished off her self-titled Serena Slam — capturing four consecutive major championships — by winning at Melbourne Park in 2003.

No woman since has even come close to that. But after winning Wimbledon and the US Open last year, Williams appears to be poised for another dominant run, one that has her entertaining thoughts of a calendar year Grand Slam in 2013, starting with the Australian Open on Monday.