The 21-year-old left-hander has gained 21 slots and reached 17th place, the joint-highest by a specialist India wicketkeeper along with Farokh Engineer, who did so in January 1973.
Having conceded a 121-run lead in the first innings, the Caribbean side began their charge in the final session on Day 4.
Sri Lanka lost early wickets in their second innings but extended their lead to 220 runs over Pakistan in the third and final Test in Sharjah to boost their chances of a series victory.
Part-time off-spinner Glenn Maxwell took two wickets without conceding a run in the last over as Australia edged Pakistan in a low-scoring thriller to win the third and final one-day international by one run in Abu Dhabi on Sunday.
Australia broke Pakistan's dangerous third-wicket partnership to reduce the tourists to 177 for three, still 361 runs in arrears, at tea on a rain-disrupted third day of the third and final Test on Thursday. - Scorecard: Opener Azhar Ali was the batsman to fall for 71, leaving elder statesmen Younus Khan, who is inching towards his 34th Test century on 84 not out, and Misbah-ul-Haq, who has made 18, to resume for the extended final session.
The 34-year-old replaced Iftikhar Ahmed, who managed only 44 runs in four innings in the recent tour of Australia where Pakistan lost both Tests.
Tom Latham struck his maiden Test century but New Zealand crumbled to 262 all out, conceding a 304-run first-innings lead as well as control of the first Test to Pakistan in Abu Dhabi on Tuesday.
Pakistan, who briefly topped the Test rankings last year, have now lost six straight Tests, one to West Indies in Sharjah, two in New Zealand and three in Australia.
Younus Khan led Pakistan's fightback with a dogged century after the hosts made a terrible start to the first Test against Australia in Dubai on Wednesday. After opting to bat first, Pakistan put up 219 for four wickets at stumps on the first day, with captain Misbah-ul-haq (34) and Asad Shafiq (9) at the crease.
Mohd Zakariya, a close aide of top Lashkar-e-Tayiba bomb expert Abdul Karim Tunda, was on Monday remanded to 10- day police custody by a Delhi court after the investigators said he had helped in illegal infiltration of Pakistani nationals into India through Bangladesh.
In order to seal the place in the squad, the duo will have to cancel their league tours in South Africa and Bangladesh.
The International Cricket Council released the provisional squads of the 12 teams for next year's World Cup in Australia and New Zealand on Friday. However, co-hosts Australia and minnows Ireland decided against releasing the provisional list although they submitted 30 names to the parent body within the stipulated deadline.
Top Lashkar-e-Tayiba bomb expert Abdul Karim Tunda was on Wednesday remanded in seven days' police custody by a Delhi court after the investigators said those who had allegedly helped him in illegal infiltration of Pakistani nationals are yet to be identified.
Pakistan all-rounder Shahid Afridi produced a brilliant performance with both bat and ball to lead his team to a thumping 126-run victory over West Indies in their first One-day International on Sunday.
India off-spinner Ravichandran Ashwin surged to the top of the MRF Tyres ICC Player Rankings for Test Bowlers after a superb outing in the first Test against the West Indies in Antigua which the visiting side won by an innings and 92 runs.
India Test regulars like Cheteswar Pujara and Ishant Sharma have also thrown their hat into the ring with base prices of Rs 50 and Rs 75 lakh respectively.
The win at Edgbaston was not the first time an Indian team had vanquished Pakistan in an ICC competition. Rajneesh Gupta surveys the landscape of India-Pakistan encounters in ICC contests.