I am a Ph.D. candidate at the C.N. Yang Institute for Theoretical Physics in Stony Brook University (SUNY Stony Brook), where my advisor is Prof. Martin Roček. My primary areas of research are (super)string theory and M-theory, with a focus on supersymmetric gauge theories, superconformal field theories (SCFTs), topological field theory. I am also interested in associated applications of algebraic geometry and algebraic topology. The general theme of my research and interests are more aptly captured by what is called physical mathematics.
To this end, I maintain a broad interest also in quantum field theory and condensed matter theory.
My published work has focused on aspects of five-dimensional gauge theories and SCFTs from the perspective of geometric engineering in M-theory. Current projects include a formulation of twisted N=2 supergravity in four dimensions, and an investigation of line operators in 3d N=4 supersymmetric gauge theories. I am also stuyding aspects of anomalies and anomaly inflow using tools from algebraic topology applied to certain backgrounds in M-theory.
Prior to joining Stony Brook, I received a Master’s in Electrical Engineering from the Indian Insititute of Technology Kanpur (IIT Kanpur) where I specialized in Microelectronics and Device Physics. My Master’s thesis was entitled “Non-equilibrium Green Function Studies of Spin Field Effect Transistors“. This was preceded by a Bachelor’s in Electrical Engineering (B.Tech.) also from IIT Kanpur. My Bachelor’s thesis was entitled “Finite Element Modeling of Radiation Conditions in Electromagnetic Scattering” and was awarded the Best B.Tech. Project Award. During the course of my undergraduate and graduate studies at IIT Kanpur, I developed and sustained a strong interest in physics, and gravitated more towards theory. When time permits, I occasionally dabble in electronic circuits, as a hobby.
I created this website to store my evolving set of notes in physics and math, and to record anything I find interesting during the course of my research. If you find any errors in the material locally hosted here, or have any suggestions, criticism or comments, please feel free to email me.