Ongoing PhD studnet
Govind Kureel (PhD studnet at IIT Kanpur) - from August, 24
Krishnagopal Maitra (PhD studnet at IIT Kanpur) - from February, 25
Completed PhD student
Co-supervision of of Olav Ersland, fellow at NTNU, Norway (Thesis advisor: Professor E. Jakobsen). Date of defense: 3rd December, 2021.
BS/MS project studnets
Vaneesha S Kumar (2023-24-Even Semester)
Burhanuddin Merchant (2024-25-Odd Semester)
Prerak Agarwal (2024-25-Odd Semester)
Bachelor's/Master Project Topics:
My primary research interests include Partial Differential Equations, nonlocal/ fractional order operators, numerical analysis of PDEs. Particularly, fully nonlinear PDEs motivated from control/ differential game problems. Few potential areas for project are
Mean Field Games - mathematical analysis and numerics
Viscosity solution theory for fully nonlinear equation
Numerical approximations and analysis of fully HJB/ Isaacs type equation
Equations related stochastic control/ differential game problem - modelling, analysis, numerics