Tuhin Ghosh

I held postdoctoral positions at IAS, HKUST, Hong Kong, and at the University of Washington, Seattle, in the inverse problems group of Professor Gunther Uhlmann; and at Universität Bielefeld, in the analysis group of Professor Moritz Kassmann.

I graduated from TIFR Bangalore Centre, upon receiving a PhD in Mathematics, under the supervision of Professor M. Vanninathan, with a thesis titled Homogenization Issues in PDEs Arising in Applications. I completed my undergraduate studies at Presidency College, Calcutta.

• Cătălin Cârstea and Tuhin Ghosh. An inverse source problem for the Monge–Ampere equation from large boundary data arXiv
• Cătălin Cârstea and Tuhin Ghosh. Inverse boundary value problems for certain doubly nonlinear parabolic and elliptic equations. arXiv
• Saumyajit Das, Tuhin Ghosh, and Susovan Pramanik. Anisotropic Calderón problem for a logarithmic Schrödinger operator of order 2+ on closed Riemannian manifolds. arXiv
• Saumyajit Das, Tuhin Ghosh, and Shiqi Ma. Inverse Scattering for the Fractional Schrödinger equation. arXiv
• Saumyajit Das and Tuhin Ghosh. Fractional Borg-Levinson problem with small non-negative potential of small growth. arXiv
• Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk, Angkana Rüland, Johannes Sjöstrand, and Gunther Uhlmann. Fractional anisotropic Calderón problem with external data. arXiv
• Tuhin Ghosh and Gunther Uhlmann. The Calderón problem for nonlocal operators. arXiv
• Tuhin Ghosh, Venkateswaran P. Krishnan, and Muthusamy Vanninathan. Inverse Diffusivity Problem via Homogenization Theory. arXiv

• Giovanni Covi, Tuhin Ghosh, Angkana Rüland, and Gunther Uhlmann. A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension. Journal de Mathématiques Pures et Appliquées. DOI
• Cătălin Cârstea, Tuhin Ghosh, and Gen Nakamura. An inverse boundary value problem for the inhomogeneous porous medium equation. SIAM Journal of Applied Mathematics. DOI
• Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk, and Gunther Uhlmann. Fractional anisotropic Calderón problem on closed Riemannian manifolds. Journal of Differential Geometry. DOI
• Amrita Ghosh and Tuhin Ghosh. Unique continuation and inverse problem for an anisotropic beam bending equation. Journal of Differential Equations. DOI
• Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, and Muthusamy Vanninathan. Bloch spectral analysis in the class of non-periodic laminates. ITM Web of Conferences. DOI
• Cătălin Cârstea, Tuhin Ghosh, and Gunther Uhlmann. An inverse problem for the porous medium equation with a possibly singular absorption term. SIAM Journal on Mathematical Analysis. DOI
• Tuhin Ghosh. Nonlocal inverse problem with boundary response. Revista Matemática Iberoamericana. DOI
• Sombuddha Bhattacharyya and Tuhin Ghosh. An Inverse Problem on Determining Second Order Symmetric Tensor for Perturbed Biharmonic Operator. Mathematische Annalen. DOI
• Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, and Muthusamy Vanninathan. Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures. Mathematical Models and Methods in Applied Sciences. DOI
• Sombuddha Bhattacharyya, Tuhin Ghosh, and Gunther Uhlmann. Inverse Problem for Fractional-Laplacian with Lower Order Non-local Perturbations. Transactions of the American Mathematical Society. DOI
• Angkana Rüland, Tuhin Ghosh, Mikko Salo, and Gunther Uhlmann. Uniqueness and reconstruction for the fractional Calderón problem with a single measurement. Journal of Functional Analysis. DOI
• Cherif Amrouche, Carlos Conca, Amrita Ghosh, and Tuhin Ghosh. Uniform W^1,p estimates for an elliptic operator with Robin boundary condition in a C¹ domain. Calculus of Variations and PDE. DOI
• Tuhin Ghosh, Mikko Salo, and Gunther Uhlmann. The Calderón problem for the fractional Schrödinger equation. Analysis & PDE. DOI
• Loredana Bălilescu, Amrita Ghosh, and Tuhin Ghosh. H-convergence and homogenization of non-local elliptic operators in both perforated and non-perforated domains. ZAMP. DOI
• Sombuddha Bhattacharyya and Tuhin Ghosh. Inverse boundary value problem of determining up to a second order tensor appearing in the lower order perturbation of a polyharmonic operator. Journal of Fourier Analysis and Applications. DOI
• Tuhin Ghosh and Ashwin Tarrikere. Approximate isotropic cloak for the Maxwell equations. Journal of Mathematical Physics. DOI
• Loredana Bălilescu, Carlos Conca, Tuhin Ghosh, Jorge San Martín, and Muthusamy Vanninathan. The dispersion tensor and its unique minimizer in Hashin-Shtrikman micro-structures. Archive for Rational Mechanics and Analysis. DOI
• Tuhin Ghosh and Karthik Iyer. Cloaking for a quasi-linear elliptic partial differential equation. Inverse Problems and Imaging. DOI
• Tuhin Ghosh, Yi-Hsuan Lin, and Jingni Xiao. The Calderón problem for variable coefficients nonlocal elliptic operators. Communications in Partial Differential Equations. DOI
• Grégoire Allaire, Tuhin Ghosh, and Muthusamy Vanninathan. Homogenization of Stokes system using Bloch waves. Networks and Heterogeneous Media. DOI
• Tuhin Ghosh and Muthusamy Vanninathan. Convergence relative to a microstructure: properties, optimal bounds and application. Journal of Abstract Differential Equations and Applications. Link
• Tuhin Ghosh and Venkateswaran Krishnan. Determination of lower order perturbations of the polyharmonic operator from partial boundary data. Applicable Analysis. DOI
• Tuhin Ghosh. An inverse problem on determining up to first order perturbations of a fourth order operator with partial boundary data. Inverse Problems. Link

• On inverse scattering problem — slide
• Non-local Borg-Levinson problem — slide
• Inverse problems for the porous medium equation — slide
• (Inverse) Homogenization for Maxwell system — slide

• NBHM Research Grant (2025–Present): Controlling wave propagation in highly heterogeneous medium
• Advanced Research Grant, ANRF (2026–Present): Electromagnetic waves: cloaking, controllability, and heterogeneity.

• PhD Student: Sushovan Pramanik (2024–Present)
• Postdoctoral scholars:
  Dr. Saumyajit Das (HRI Institute Fellowship)
  Dr. Rahul Poddar (ANRF-NPDF Fellowship).