Virat Kohli emerged as the first batsman in cricket history to score Centuries in his First Three Innings as Test captain. He captained India in the First Test match against Australia and scored centuries in each of the Innings. Post MS Dhoni's retirement from Tests, Kohli was promoted to Captain and he scored a century in the First Innings of ongoing 5th Test Match.
In Fact, Virat Kohli is only the second Indian to score 500 in a Test series in Australia. He already have 4 centuries in this series and likely to set more records. His scores in the series - 115, 141, 19, 1, 169, 54 & today 107*.
In 2003-04 Australia tour, Team India's 'Wall' Rahul Dravid scored 619 runs from 8 Innings.