Currently I am a faculty in School of Advanced Sciences at VIT Chennai. Before joining here I was a physics postdoc in Institute of Mathematical Sciences, Chennai. Primarily my area of research is geometric flows without and with higher order and higher derivative terms. I have studied Ricci flow and Renornalization Group flow on warped and unwarped manifolds which arises in the context of General Relativity. I have also worked on a recently developed fourth order flow namely Bach flow which is motivated from conformal gravity.
Here is my research statement and résumé.
You can find my publications either in mathscinet or in arxiv.
2. Bach flows of product manifolds. Int. J. Geom. Methods Mod. Phys. 9 (2012), no. 5, 1250039, 18 pp.