The following are some of the courses that I have taught recently.
My research started in (Low-dimensional) Topology and I have worked for many years in this and related areas, including Geometric group theory, Riemannian geometry and Metric geometry (and its relation to Probability Theory). I also briefly worked on an application of topology to Molecular Biology.
More recently, the main focus of my work has been automated theorem proving, i.e., trying to get computers to do mathematics. The one success so far has been the PolyMath 14 project, which resulted in the publication Homogeneous length functions on groups whose discovery involved a computer proof, an account of which is published in the Journal of Automated Reasoning.
I also occasionally blog about my experiments with automating mathematics.
My main automated theorem proving activity is open sourced at ProvingGround on GitHub, consisting mainly of scala code.
I have guided seven Ph.D. students, plus one informally, all of whom have faculty positions at excellent places. They are: Tejas Kalelkar (IISER, Pune), Suhas Pandit (IIT Madras), Dheeraj Kulkarni (IISER Bhopal), Bidyut Sanki (IIT, Kanpur), D. Divakaran (Azim Premji University), T.V.H.Prathamesh (KREA University), Arpan Kabiraj(IIT Palakkad) and (informally) Dishant Pancholi (IMSc Chennai).