Sombuddha

Research scholar at Tata Institute of Fundamental Research.

About me

I am a senior research scholar (PhD) at Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore, India. Currently I am pursuing my PhD. in Mathematics under the guidance of Dr. Venkateswaran P. Krishnan.

I am working on Calderón type Inverse problems for harmonic and polyharmonic operators defined on Euclidean and Riemannian manifolds. My research also includes geometric Inverse problems concerning inversion of (attenuated) geodesic ray transforms.

Education

RESEARCH INTERESTS

• Calderón type inverse problems.
• Geometric Inverse problems.
• Partial Differential Equations.
• Inverse problems on Hyperbolic operators.

PREPRINTS AND WORKS IN PROGRESS (subsection of Research interests)

• An Inverse Problem for the Magnetic Schrödinger operator on Riemannian manifolds from partial boundary data.(submitted on September, 2016.)
• An Inverse Problem for the Biharmonic operator on Riemannian manifolds.

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Visits & Talks

• ”In-house symposium” at TIFR-CAM in 2013; (Talk Title: Recovering upto second order perturbation of a biharmonic operator from full boundary data).
• Poster presentation in “AIP-2015”, Helsinki, Finland in May, 2015. (Presentation Title: Recovering 2nd order isotropic perturbation of a biharmonic operator from boundary data).
• Trimester on Inverse Problems at Institut Henri Poincaré, Paris, France, June 2015.
• “In-house symposium” at TIFR-CAM in 2015. (Talk Title: An inverse problem for a biharmonic operator on a class of Riemannian manifolds).
• 8th International Conference -“Inverse problems: modeling and simulation”, Turkey in 2016. (Talk Title: Calderón-type inverse problems on Riemannian manifolds).
• Airbus project meeting in TIFR-CAM in 2016. (Talk Title: Partial boundary Inverse Problem for a harmonic operator on a class of Riemannian manifolds).

Teaching

• Graduate course on PDE-2, (August-December, 2013). (Teaching assistant).
• Instructional School for Teachers on Analysis and Differential Equations, (2015). (Teaching assistant).

Contact Me

Sombuddha Bhattacharyya, Senior research scholar,
Tata Institute of Fundamental Research,
Centre for Applicable Mathematics,
Bangalore, India.

sombuddha -at- math.tifrbng.res.in
arkatifr -at- gmail.com

+917204161405