Linear and Nonlinear Partial Differential Equations (PDE), Control of PDE, Compressible flow, Incompressible flow, Viscoelastic flow. In particular Controllability (Exact, Null, Approximate), Stabilizability (Open loop and Closed loop Feedback), Optimal control, Inverse problem for Compressible Navier-Stokes equations, Incompressible Navier-Stokes equations, Viscoelastic flow of Maxwell and Jeffreys fluid, FitzHugh-Nagumo equation, Rogers-McCulloch equation, Creeping flow model, Camassa-Holm Equation, Coupled wave system etc.These various linear and nonlinear coupled PDE models appears with parabolic-hyperbolic coupling, parabolic-parabolic coupling, ODE-hyperbolic coupling, ODE-parabolic coupling, hyperbolic-elliptic coupling, hyperbolic-hyperbolic coupling, parabolic-elliptic coupling etc. Coupling with ODE creates non-local terms in the model in the form of integrals either in space or time or both.I have utilized different techniques of control of PDE (several direct methods and Indirect duality methods based on observability) to study controllability, stabilizability, Optimal control problems. For example: Spectral methods (The Moment methods, Ingham inequalities and Non-harmonic Fourier series), method of Characteristics, Holmgren’s uniqueness theorem, Method of Multiplier, Extension method, Compactness-uniqueness method, Method of Lebeau-Robbiano, Source term method, Fixed point arguments, Quasi-static deformation method , Power series expansion method, Backstepping method, Gramian approach, Ricatti based feedback, Urquiza’s method, Geometric control theory (Agrachev-Sarychev approach, Lie brackets structure) etc. are used to prove the controllability and stabilization results in my published and ongoing works.Moreover, I want to explore other methods, for example: Return method (Introduced by Jean-Michel Coron), method of Fursikov-Imanuvilov (Carleman estimates), Fundamental solution methods, Transmutation techniques, Flatness approach, Microlocal Analysis, “Phantom Tracking” strategy, Nonlinear Feedback etc.

1. Ph.D. (Mathematics), TIFR CAM, Bangalore (Tata Institute of Fundamental Research, Mumbai), 2013, Dissertation Title: Control of Linearized Compressible Navier-Stokes Equations
2. M.Sc. (Mathematics), TIFR CAM, Bangalore (Tata Institute of Fundamental Research, Mumbai), 2008
3. B.Sc (Mathematics), Serampore College (University of Calcutta), 2005

1. Associate Professor, IISER Kolkata (current)
2. Assistant Professor, IISER Kolkata (2017 - 2025)
3. Assistant Professor in Mathematics, Indian Institute of Technology, Kharagpur, India. (2016 - 2017)
4. Inspire Faculty in Mathematics, Indian Institute of Science Education And Research, Kolkata, India. (2015 - 2016)
5. Post Doc Fellow, Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore, India. (2014 - 2015)
6. IFCAM post doc fellow, Institut de Mathématiques de Toulouse, Université Paul Sabatier, Toulouse, France (2013 - 2014)

1. MATRICS Research Grant from Science & Engineering Research Board (SERB) (2022)
2. INSPIRE Faculty Award from Department of Science & Technology (2015)
3. Harish Chandra Memorial Award from Tata Institute of Fundamental Research, Mumbai (2014)

List of Publications: