Currently working as a Professor in the School of Mathematical and Statistical Sciences, IIT Mandi since January 2023. I have worked as Associate Professor from October 2017 to January 2023 and Assistant Professor from August 2010 to October 2017 in the School of Basic Sciences at Indian Institute of Technology Mandi. I received my M.Sc. and PhD in Mathematics from Indian Institute of Technology Kanpur in 2004 and 2009 respectively. I have worked as a postdoctoral fellow at University of Bologna, Italy, visiting scientists at TU Dresden, Germany and research associate at University of Fribourg, Switzerland. My teaching experience includes several graduate and under graduate courses. I received excellence in teaching award for undergraduate teaching. The core areas of my research are delay/functional/abstract differential equations, Ecological modelling, Difference equations, Stochastic control. 

My research focuses on:

Differential Equations: Including delay, functional, and abstract differential equations, with an emphasis on existence, uniqueness, and stability of solutions.

Ecological Modeling: Analyzing population dynamics, predator-prey models, and structured population models.

Time Scale Calculus: Studying dynamic equations on time scales, which unify continuous and discrete systems.

Stochastic Control: Investigating control problems in stochastic systems, including those with jumps and impulses.

Nonlinear Analysis: Exploring almost periodic and automorphic solutions for various mathematical models.