At IMSc, I work with Sitabhra Sinha. I am interested in complex systems, particularly in biology. To list a few collective behaviour, game theory, evolutionary dynamics, etc. Currently I work on two problems.

Project 1.

Strategic interactions in complex systems often give rise to rich and unpredictable behavior, making them challenging to analyze using conventional game-theoretic methods. In this project, we develop a framework inspired by statistical physics to study such systems by employing energy landscapes. By mapping strategy configurations to states in an energy landscape, we can characterize equilibria, stability, and transitions between strategies in a unified way. This approach provides new analytical and computational tools to understand and solve games. I collaborate with Dr. Shakti N. Menon for this project.

Project 2.

Collective behaviour in biological systems are often emergent properties of simple local interactions among agents, leading to complex and organised patterns at a larger scale. A striking example of this is the complex interactions in cricket calls. While some species are known to synchronise the entirety of the signals, some only synchronise parts of it. In this project we use tools from dynamical systems theory and signal processing to model and analyse this phenomena.