Nikhil’s homepage

Hi there! Welcome to my webpage! I am an applied mathematics researcher working on numerical methods for partial differential equations.

I will be a postdoctoral researcher in the research group of Prof. Christian Klingenberg at the University of Würzburg, Germany, starting from November 2025, where I will be working on genuinely multi-dimensional high order finite-volume methods.

I completed my PhD thesis in Mathematics at the Indian Institute of Science Education and Research (IISER) Thiruvananthapuram, India under the supervision of Dr. Sudarshan Kumar K. During my PhD, I worked on high-order numerical schemes for non-local conservation laws and conservation laws with discontinuous flux.

“While differing widely in the various little bits we know, in our infinite ignorance we are all equal.” ― Karl R. Popper