About Me
I am a Professor in the Department of Mathematics at the Indian Institute of Technology Kanpur. My primary research interests are in applied and computational mathematics, particularly the analysis and numerical solution of partial differential equations. I work on the development of stable and efficient numerical methods, their rigorous mathematical foundations, and applications to problems in science and engineering.
Over the years, my research has combined theory, computation, and applications, with an emphasis on bridging rigorous mathematical analysis and practical numerical techniques. I actively collaborate with colleagues and students on topics at the interface of analysis and computation, and have guided several PhD students whose work extends into both theoretical and applied aspects of mathematics.
My Erdős number is 4, via the collaboration chain: Anand → Stochel → Putinar → Shapiro → Erdős.
Academic Journey
2000
Integrated M.Sc. in Mathematics and Scientific Computing, IIT Kanpur
2005
M.S. in Mathematics, University of Minnesota
2006
Ph.D. in Mathematics, University of Minnesota
2006–2009
Postdoctoral Research & Staff Scientist, AHPCRC (Minnesota) & Caltech
2010–2016
Assistant Professor, IIT Kanpur
2015–2016
Visiting Research Associate, Caltech
2016–2020
Associate Professor, IIT Kanpur
2020–present
Professor, IIT Kanpur
Research Highlights
Much of my work is centered around the computational wave scattering problem, where the goal is to develop accurate and efficient algorithms for solving time-harmonic wave equations. In particular, I work with integral equation based methods, which are well-suited for handling unbounded domains and complex geometries. My contributions include the design and analysis of fast algorithms for high-frequency scattering, as well as the development of robust solvers that combine mathematical rigor with computational efficiency.
In addition to this, I have actively collaborated with experts and students on the solution of certain moment problems. These investigations have led to progress on open questions in functional analysis and operator theory, illustrating my broader interest in both applied and theoretical aspects of mathematical research.
Read moreNews & Updates
- July 2026 – Congratulations to Damini Dhiman, who has been selected as an Assistant Professor in the Department of Applied Sciences (Mathematics) at the National Institute of Technology Delhi.
- June 2026 – Jyoti Jaglan has joined our research group as an Institute Post-Doctoral Fellow (IPDF) starting June 29, 2026. Welcome!
- January 2026 - Introduced HighFIE Lab, a benchmarking platform for Fourier extension methods. Researchers can test custom extension algorithms and compare performance against implemented baselines with interactive convergence analysis. More methods will be added to create a comprehensive comparison suite for the Fourier Extension/Continuation methods community. Access platform
- December 2025 - Congratulations to Jagabandhu Paul, who will be joining the SRM Institute of Science and Technology as a Research Assistant Professor on December 29.
- December 2025 – Damini Dhiman successfully defended her Ph.D. thesis on the 16th of this month. Congratulations to her!
- December 2025 – Prakash Nainwal successfully defended his Ph.D. thesis on the 15th of this month. Congratulations to him!
- September 2025 – Prakash Nainwal has joined our research group as a FARE Fellow starting September 1, 2025.
- August 2025 - Our paper on a modified FC-Gram has been published online and is available here.