I am currently a PhD student at the University of Melbourne, working under the supervision of A/Prof. Marcy Robertson. I was a visiting research scholar at the beginning of my research at the Indian Institute of Science- IISc, Bangalore, India. I was at the Imperial College London, studying for a Master's in Pure Mathematics on a full scholarship, the Chevening Scholarship. I was a recepient of the Future Research Talent Award at the Australian National University before starting at Imperial. I completed my Bachelor's and Master's degrees in Mathematics at the University of Delhi, India.
I work at the intersection of algebra and topology. My research is centred around various aspects of the theory of Operads and their modules (aka Swiss-Cheese type operads), Configuration spaces, Low-dimensional topology, Formality problems, (Rational) Homotopy Theory, Grothendieck- Teichmüller theory and Associators, and Finite-type invariants.
In particular, I am interested in looking at
variants of Grothendieck- Teichmüller groups' and their actions on knotted objects coming from 3D and 4D topology. This leads to a better understanding of the absolute Galois group action on these topological objects.
the Kashiwara- Vergne problem in Lie theory from a topological perspective.
formality problems in operads.
exploring operadic models for knotted objects and study them via homotopy theoretic methods.