About me and my research
I am currently a Reader in the school of mathematics at the Tata Institute of Fundamental Research (TIFR), Mumbai. I also hold an associate faculty position at ICTS, Bangalore. Before joining TIFR, I was a postdoctoral fellow at the Institut des Hautes Études Scientifique (IHES) from 2017 to 2020. I obtained my Ph.D. from the University of Chicago in 2017 under the guidance of Professor Jian Ding.
I am primarily interested in probability theory and its applications to problems in statistical physics and statistics. My Ph.D. thesis dealt with metric properties of planar log-correlated gaussian fields, a family of stocahstic processes which includes gaussian free fields. One part of my thesis concerns the metric of Liouville quantum gravity which is a very rich and important model in mathematical physics. Broadly speaking, I am interested in studying geometrical and topological properties of large random sets. Some of my current projects involve understanding percolation phenomena in correlated media like random cluster models, random interlacement and level-sets of gaussian free field among others. I am also very interested in mathematical statistics, specifically the interface of probability theory, statistics and optimization.