• Low-dimensional Topology
• Metric Geometry
• Complex Analysis
• Riemann Surfaces
• Reimann surface laminations

Divakaran is passionate about teaching, especially at the undergraduate level. He strives to build effective pedagogy and relationships with students. 

His research interests are in geometry, topology and its applications. He has broadly worked on three areas – metric geometry and its application to geometric topology (during my PhD from the Indian Institute of Science (IISc), Bangalore), the structure of the space of functions between products of Riemann surfaces (during post-doctoral fellowship at the Institute of Mathematical Sciences(IMSc), Chennai), and evaluation and construction of samples for Monte-Carlo integration (during post-doctoral fellowship at the University of Edinburgh). 

Currently, he is working on embeddings of Riemann surface laminations (this work builds on his work during post-doctoral fellowship at IISER Bhopal). He is also exploring geometric group theory and hyperbolic geometry. 

In addition, he is also a hobbyist blogger. He blogs in Malayalam in his personal blog Manorajyam (https://​www​.manora​jyam​.com). He has another film blog in English called 2^d-life (https://​www​.2d​-life​.com)