Assistant Professor, Department of Mathematics and Statistics
Theory and Numerical Analysis of PDEs,
Nonlocal/ Fractional order Problems,
Fully Nonlinear Equations
KD 206 (H R Kadim Diwan Building)
Department of Mathematics and Statistics
IIT Kanpur,
Kanpur 208016
Ph.D, Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bengaluru, India (2017)
PG, Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bengaluru, India (2012)
UG, St. Xavier’s College, Kolkata, India (2010)
(Jointly with E. Jakobsen and O. Ersland) On Numerical approximations of fractional and nonlocal Mean Field Games.Foundations of Computational Mathematics (https://doi.org/10.1007/s10208-022-09572-w), 51 pages, 2022.
(Jointly with E. Jakobsen and M. Krupski) On fully nonlinear parabolic mean field games with examples of nonlocal and local diffusions, Submitted (https://doi.org/10.48550/arXiv.2104.06985) , 53 pages, 2021.
(Jointly with G. Csato, P. Roy and F. Sk) Study of fractional Poincare inequalities on unbounded domains.Discrete and Continuous Dynamical Systems ( https://doi.org/10.3934/dcds.2020394), 27 pages, 2021.
(Jointly with P. Roy) Fractional Poincare Inequality for Unbounded Domains with Finite Ball Condition: Counter Example. Submitted (https://doi.org/10.48550/arXiv.2001.04441), 18 pages, 2021.
(Jointly with I. H. Biswas and E. Jakobsen)On the rate of convergence for monotone numerical schemes for nonlocal Isaacs equations. SIAM Journal on Numerical Analysis (https://doi.org/10.1137/17M114995X), 29 pages, 2019.
(Jointly with P. Roy) On the asymptotic analysis of problems involving fractional Laplacian in cylindrical domains tending to infinity. Communications in Contemporary Mathematics (https://doi.org/10.1142/S0219199716500358), 21 pages, 2017.
(Jointly with I. H. Biswas) On the differentiability of the solutions of non-local Isaacs equations involving 1/2-Laplacian. Communications on Pure and Applied Analysis (https://doi.org/10.3934/cpaa.2016.15.907), 21 pages, 2016.