I am a PhD student in Mathematics at the University of Melbourne, supervised by Marcy Robertson, I was a visiting researcher at the Indian Institute of Science (IISc), Bangalore during my PhD. I completed an MSc in Pure Mathematics at Imperial College London as a Chevening Scholar and received the Future Research Talent Award from the Australian National University. I hold a Bachelor’s and Master’s degree in Mathematics from the University of Delhi, India.

My research lies at the intersection of algebra and topology. I am particularly interested in operads and their modules (such as Swiss-Cheese type operads), configuration spaces, low-dimensional topology, formality problems, (rational) homotopy theory, Grothendieck–Teichmüller theory, associators, finite-type invariants, and the Kashiwara–Vergne problem.

In particular, my current research focuses on

• Variants of the Grothendieck–Teichmüller group and their actions on knotted objects in 3D and 4D topology.

• The Kashiwara–Vergne problem in Lie theory from a topological perspective.

• Formality problems in operads.

• Operadic models for knotted objects via homotopy-theoretic methods