India's captain moved three spots up and behind Ricky Ponting and Jacques Kallis in the latest rankings for Test batsmen.
India have the chance to go atop the ICC Twenty20 rankings if they blank England in the upcoming T20 internationals at home and a few other international results go their way.
England pacer James Anderson reclaimed the number-one ranking from India's Ravichandran Ashwin in the ICC Player Rankings for Test Bowlers released on Monday after the end of the Edgbaston Test.
Gilchrist is one of five Australian batsmen now in the top 10 along with Ponting, Symonds, Hussey and Clarke.
Rathour has played six Tests and seven ODIs and has 33 first-class centuries to his name.
The 28-year-old Kohli scored 62 and six not out to move to 833 points, within 14 points of England's Joe Root in a list led by Australia captain Steve Smith.
The duo progressed following their fine showing in India's victory over Pakistan in the women's T20 World Cup opener.
Anil Kumble's success in the Kolkata Test has moved him up a place into fourth on the Test bowler rankings.
Jasprit Bumrah, the fastest Indian pacer to 50 wickets, is now seventh in the bowlers' list after a leap of nine places owing to his five-wicket haul against the West Indies.
India captain Mahendra Singh Dhoni and off-spinner Ravichandran Ashwin have moved up the ladder to achieve the fourth and sixth positions respectively in the latest ICC ODI ranking for batsmen and bowlers.
India can leapfrog two places to the third spot, if they win the upcoming four-Test series against the visiting England side by a margin of 2-0 or more.
Ashwin has 20 scores of fifty or more in Tests, three more than Sir Richard Hadlee, while recording the same number of five wicket hauls as the great Kiwi in the format (36 five wicket hauls), solidifying his status as one of the format's greatest all-rounders.
Who do you think should be part of India's playing XI for the third Test against Australia in Brisbane?
'Not only for us right now in the moment but I think we will qualify for the 2026 T20 World Cup as well so I think it is a big thing for us and not only for us but for the fans around America as well.'
Veteran Sachin Tendulkar dropped out of the batting top-10 to the 13th spot, while pace spearhead Zaheer Khan slipped a spot to 10th in the bowling chart as India's misery in the Test series against Australia reflected in the latest ICC rankings issued on Sunday.
England head to the Oval for the final Test of the summer against India on Thursday as the world's top side courtesy of a rankings system which is now widely accepted but not generally understood.
Joe Root was presented with a silver bat to commemorate his 10,000 runs in the longest format.
Virat Kohli remained the highest-placed Indian batsman at fourth even as Shikhar Dhawan rose a rung to sixth in the latest ICC ODI rankings.
Afghanistan's Rahmanullah Gurbaz surpasses Babar Azam, goes level with stalwart Virat Kohli for special feat in ODI
Veteran batsman Sachin Tendulkar and pace spearhead Zaheer Khan remained static at their respective 12th spots to be the highest-placed Indian cricketers in the latest ICC Test rankings issued on Wednesday.
Images from Day 3 of the first Test between Australia and India in Perth on Sunday.
A win in 2nd Test vs New Zealand in Kolkata, can help India reclaim ICC Test C'ship mace
Captain Virat Kohli stayed in third to be the best-placed Indian batsman in the latest ICC ODI rankings issued in Dubai on Friday.
Rachin Ravindra, the rising star of New Zealand cricket, has once again showcased his exceptional talent, guiding his team to a dominant position in the first Test against India.
Pujara was placed sixth, down one rung, with 791 points, while Rahane occupied the ninth spot after slipping a couple of positions with 759 points.
Premier pacer Jasprit Bumrah was on Friday named vice-captain of India for the upcoming three-match home Test series against New Zealand, strongly indicating his possible elevation to the leadership role when the team travels to Australia from next month.
It is a tribute to a system so robustly meritocratic that this team represents India's diversity better than any other institution: The Union Cabinet, our chief ministers, the civil services, the leadership of our armed forces and security agencies, the judiciary and more than all of these, our typical newsroom. That is the biggest message from this breathless rise of Indian cricket, asserts Shekhar Gupta.
Ricky Ponting advised star batters Virat Kohli and Steve Smith to stop trying hard to rediscover their best and pushing themselves too hard and just focus on watching the ball and scoring runs.
Pakistan captain Babar Azam has surpassed India's Virat Kohli in becoming the world No.1 T20I batter for the longest period of time after he maintained his top spot in the latest ICC T20 batting rankings.
The right-hander currently has 873 points in the list of Test batsmen, headed by Australia captain Steve Smith.
Kohli (886 points) and Rohit (868 points) have gained two and three ratings points, respectively to occupy the top two positions in the batting rankings.
Afghanistan's opener, Rahmanullah Gurbaz, rose a career-high 12th spot -- Gurbaz is the leading run-getter in the ongoing T20 World Cup, with 156 runs from two innings under his belt.
From England's fiery all-rounder Ben Stokes to India's rising star Shubman Gill, and the ever-reliable Babar Azam from Pakistan, these cricketing maestros are ready to redefine the game.
India held on to their third spot, while Sri Lanka have retained their position as the number one ranked team after the annual update of the ICC Twenty20 Rankings was announced on Thursday.
India captain Mahendra Singh Dhoni is all set to lose his numero uno status in the ICC rankings for ODI batsmen after deciding to skip the triangular series in Zimbabwe starting on Friday.
India took a seven-point lead over their closest rival in England in the ICC T20 rankings
The ICC on Thursday came under attack for its "baffling" all-time Test player rankings which had no place for champion batsmen like Sachin Tendulkar and Brian Lara in the top 20 but the game's governing body made it clear that the list did not rank players in terms of true greatness.
Star batter Virat Kohli, who is the second leading run-getter in the World Cup with 354 runs after five matches, has improved three spots to be on joint fifth spot with Aussie left-handed opener David Warner (up two spots).
Courtesy his 153-run knock against Australia in the Mohali Test, India opener Murali Vijay has jumped 16 places to career-best rank of the 43rd but Cheteshwar Pujara dropped out of top-10 in the latest ICC rankings for Test batsmen.
India's Suryakumar Yadav took over the No. 1 slot from Pakistan's Mohammad Rizwan, who was atop the scoring charts with 825 runs from 19 innings, and a superb average of 51.56.
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