I received a Ph.D. in Theoretical Physics from the C.N. Yang Institute for Theoretical Physics in Stony Brook University (SUNY Stony Brook), where my advisor was 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), and 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 in quantum field theory.
My published work has focused on aspects of five-dimensional gauge theories and SCFTs from the perspective of geometric engineering in M-theory. I am presently interested in mathematical structures that arise in the study of wall crossing in N=2 supersymmetric gauge theories, and in cohomological field theories (aka topological field theories from twisted supersymmetry). I am also interested more generally in applications of algebraic geometry and topology to string compactifications and anomalies in quantum field theory.
Prior to 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, exploiting the science-based engineering style. When time permits, I occasionally dabble in electronic circuits, as a hobby. A long standing interest (since 1996) has been experimenting and using Linux, in various forms and flavors. I enjoy scientific programming when I can.
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.