We are a new group and we are continuously looking for members to join our team at different levels (Undergraduate & Master Thesis, Doctoral Thesis, Postdoctoral Researcher). If you're interested in joining the group, please spend some time investigating the opportunities below and then send Satya an email to introduce yourself.

Exponential asymptotics

We are interested in studying questions of regularity and singularity for both ODEs and PDEs using the exponential asymptotics and associated Borel summation. This is rather unexpected since exponential asymptotics have usually been associated with smallness, whereas singularities are where a function and/or its derivatives are unbounded. Exponential asymptotics are equally applicable to self-similarity and transitions of nonlinear dynamics.  Exponential asymptotics is also useful to determine the selection mechanisms of Saffman-Taylor fingering. You are cordially invited to my office to discuss further and learn together. 

Symmetry groups and invariant solutions of shear flows

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Postdoctoral research at IITG

We are looking for one postdoctoral researchers through IITG-IPDF. 

One postdoc positions is available in our group. For more details, please do not hesitate to contact me at "satyajitp [at] iitg [dot] ac [dot] in" to discuss the possible research projects. Knowledge at least one of the following areas will be useful to be part of our group: mathematical modeling and scientific computing, CNN, PINNs, perturbation analysis, multiple scale analysis, homogenization techniques, numerical linear algebra, analysis of differential equations, programming skills in C/C++/FORTRAN. An experience of working in Linux operating systems and prior knowledge of fluid mechanics, tensor calculus are plus. Interested candidates are encouraged to contact at "satyajitp [at] iitg [dot] ac [dot] in" to prepare a strong proposal. 

You are also encouraged to apply for NBHM postdoctoral fellowship. 

Ph.D. at IITG

We continue to strive to get passionate Ph.D. scholars to work in the areas of Fluid Mechanics, Mathematical Modelling and Scientific Computing, Numerical Analysis, Homogenization. Interested candidates with M.Sc. (Mathematics/Mathematics and Computing/Physics). B.Tech. (Mathematics and Computing/Engineering Physics), M.Tech./B. Tech.  (Mechanical/Chemical Engineering) please contact Satyajit via email at "satyajitp [at] iitg [dot] ac [dot] in" along with your detailed CV. The research problems that we are interested requires knowledge at least one of the following: numerical linear algebra, analysis of differential equations, programming skills in C/C++/FORTRAN. An experience of working in Linux operating systems and prior knowledge of fluid mechanics, tensor calculus are plus. If you have any specific queries about research at IITG and/or in our group, please feel free to drop by my office (E1-305) or write an email to seek a permission. 

Applications will be accepted via online only through the IITG Ph.D. admission portal. 

Undergraduate and Master Projects

If you are interested to carry out your undergraduate and master thesis, please feel free to drop by my office or write an email to seek a permission. 

1. If you are interested to carry out your B.Tech. and M.Sc. project/thesis on (a) "Pi Theorem" (b) "Symmetry methods for differential equations", please drop by my office to know more about these topics.  

2. We are looking for prospective students who are highly motivated to pursue career in science. One of the projects that you can take up is on "Semidefinite Programming".  Successful candidate would have completed or been pursuing M.Sc./Integrated M.Sc./BS-MS/B.Tech programme in Mathematics/Mathematics & Computing, Physics or related area. To know more about the project, write to satyajitp [at] iitg [dot] ac [dot] in with your recent CV. 

3. Undergraduate and Master Projects are available in the area(s) of (1) Financial Engineering/Computational Finance/Stochastic Calculus for Finance/Monte Carlo Simulations, (2) Numerical solutions of partial differential equations using physics–informed neural network. 

4. Currently, we are having opening for two undergraduate research. The activities involve numerical solution of differential equations arising in the studies of hydrodynamic instabilities.