India captain Virat Kohli has maintained his top spot, Cheteshwar Pujara returned to top five while Jasprit Bumrah achieved a career-high ranking of 33 in the latest ICC Test rankings for batsmen and bowlers.
Pujara's knocks of 123 and 71 were the cornerstone of India's victory in the opening Test against Australia at the Adelaide Oval. Pujara has now moved ahead of Joe Root and David Warner in fourth position. He trails third-ranked Smith by 55 points, and leads Root by 39 points.
India fast bowler Bumrah has achieved a career-high ranking of 33rd, after his three for 47 and three for 68 at Adelaide helped him to rise five places.
Kane Williamson has become the first New Zealand batsman and 32nd overall to break the 900-point barrier in the ICC Player Rankings for Test Batsmen following a stellar performance in the third Test against Pakistan, which helped his side to win their first away series in 49 years.
Williamson scored 89 and 139 in Abu Dhabi last week, which set up New Zealand's convincing 123-run victory over Pakistan.
This performance not only helped Williamson to win the Player of the Match award, but also earn 37 points in the latest player rankings, which, in turn, has allowed him to leapfrog Australia's Steve Smith into the second position on a career-high 913 points.
As a result, Kohli has conceded 15 points to slip to 920 points, just seven points ahead of Williamson.
With Williamson breathing down Kohli's neck, the India captain will be under pressure to perform strongly with the bat in the second Test starting in Perth from Friday otherwise he will potentially lose the number-one ranking he has been holding since the Edgbaston Test against England in August.
While Williamson shone with the bat in Abu Dhabi and was richly rewarded, number-one ranked Kohli managed only three and 34 in his side's impressive 31-run victory over Australia at the Adelaide Oval.
The other two notable movers from the Adelaide Test are Ajinkya Rahane in 17th (up by two places) and Mitchell Starc in 16th (up by two places).
Amongst the newcomers, Australia's Marcus Harris has entered in 116th batting position, while amongst the bowlers, off-spinner William Somerville of New Zealand has emerged in 63rd spot and Pakistan fast bowler Shaheen Afridi has popped up in 111th place.