Malhotra received her bachelor's degree in Physics from Delhi University in 1988, and her Master's degree in Physics from the Indian Institute of Technology - Kanpur in 1990. In 1995, she became the first woman of color to receive a PhD in Astrophysics from Princeton University. Her Ph.D. supervisor at Princeton was Professor Gillian Knapp. Malhotra's Ph.D. thesis examined the distribution of atomic and molecular gas in the Milky Way galaxy. Results from her thesis work are reproduced in the textbook "Galactic Structure", by Binney and Merrifield.
Malhotra and collaborators used Infrared Space Observatory data to study the far-infrared line emission from galaxies. In particular, she demonstrated that the 158 micron emission line of ionized carbon becomes a relatively less prominent spectral feature in galaxies with higher infrared luminosity and/or warmer interstellar dust.
Lyman Alpha Galaxies and Cosmological Reionization
Malhotra initiated the Large Area Lyman Alpha survey in the late 1990s. This was one of the first research projects to successfully identify galaxies in the early universe using their Lyman alpha emission lines, a method that had been first proposed in 1967 by Bruce Partridge and Jim Peebles. She has gone on to study galaxies with strong Lyman alpha lines in detail. In particular, she demonstrated that they tend to be young, with extreme star formation properties and small sizes. She also pioneered the technique of using Lyman alpha galaxies to study cosmological reionization, leading a 2004 paper that demonstrated that the gas between galaxies was already mostly ionized at redshift 6.5, when the universe was less than a billion years old. Recently, she, her former Ph.D. student V. S. Tilvi, and other collaborators identified the most distant galaxy group so far known, and found evidence that these galaxies are ionizing their surroundings. She is the US principal investigator of the ongoing multinational , which is identifying hundreds of Lyman alpha galaxies in the epoch of cosmic dawn.
Slitless Spectroscopy from Space
Malhotra has led three Hubble Space Telescope treasury programs that have collectively advanced the application of slitless spectroscopic observations from space. While initially designed to identify galaxies in the distant universe, these projects have also proven invaluable for identifying galaxies at intermediate distances, studying the chemical compositions of those galaxies, and even studying stars in our own Galaxy. Further developments of these techniques form a core part of the planned observing programs for ESA's Euclid mission and NASA's Roman mission, and Malhotra is helping develop plans for the Roman application.
Pea galaxies
Malhotra has directed multiple PhD students in studying Green Pea galaxies. She and her collaborators have demonstrated that these comparatively local objects bear striking similarities to Lyman alpha galaxies in the early universe, which is valuable because the pea galaxies are easier to study in detail than their more distant counterparts.
Students
Malhotra has advised over a half dozen Ph.D. thesis students, including , , Vithal Tilvi, Lifang Xia, Huan Yang, Tianxing Jiang, and John Pharo.