Madhur started her career in journalism while still an undergraduate student, writing a weekly cultural affairs column for The Indian Express. She has written and edited for the Hindustan Times in Chandigarh, worked as a features writer for The Indian Express in Delhi, and written and edited for the Op/Ed page at the Hindustan Times in Delhi. In 2007, she joined Time magazine as its India reporter, covering, among other stories, the 26/11 attacks in Mumbai. In 2009, she joined as an India reporter for BNA Inc. (now Bloomberg Law), covering a host of policy and regulatory issues. She has also written for the World Economic Forum and the University of Chicago, and produced radio features for Asia Calling and Voice of America. Madhur has a Master's in International Relations from the University of Warwick and a Master's in English Literature with Post-Colonial Studies from Panjab University, Chandigarh.