Work Experience

A discontinuous Galerkin method for the distributionally-sourced s=0 Teukolsky equation (PhD project, arxiv:2307.01349)

  15/05/2020-current      Dr. Gaurav Khanna and Dr. Scott Field, UMass Dartmouth
With the detection of first gravitational waves in 2015 by the laser interferometers at Laser Interferometer Gravitational wave Observatories (LIGO) located in Hanford and Livingston that was followed by a Nobel prize, there is an urgent need of more template waveforms for a bigger parameter space. The upcoming space borne detector Laser Interferometer Space Antenna (LISA) is primarily sensitive to Extreme Mass Ratio Inspirals (EMRI) where the mass ratio between two black holes lies between 10 to 10^7 solar masses. LIGO uses a method known as match filtering where the detector tries to match the incoming signals with the existing waveforms simulated from Numerical Relativity (NR) or other numerical techniques. NR is only useful to model systems where the mass ratio is less than 10 as the problem becomes computationally expensive for larger ratios. Hence, there is a need to use a different method to simulate the EMRI systems. This is where Discontinuous Galerkin method comes into the play as it is the best suited for such kind of systems. It can incorporate the point particle behavior of the smaller black hole in the form of a delta function and due to the discontinuous nature of the scheme it is inherently highly parallelizable and thus generates highly accurate waveform in very short amount of time compared to the other methods. In this project, we intend to explore the application of discontinuous Galerkin method in the EMRI systems. We reduce the Teukolsky equation to a set of coupled 1+1D wave equations and apply the dG method to it with a delta source term, acting like the secondary black hole in an EMRI system.

Massless scalar waves in 4-D Anti-de Sitter spacetime (MS project)

  27/07/2020-15/07/2021      Dr. Rajesh Nayak, IISER Kolkata

In this project, I studied the different metrics associated with AdS spacetime with Reissner Nordstrom geometry. I explored the solution to the differential equations that govern the scalar waves in the geometry by using the Frobenius series method.

Independent study on Magnetohydodynamics and Fluid Dynamics

  17/08/2020-current      Dr. Dibyendu Nandi, IISER Kolkata

I have taken up this project as an Independent Study project. I am studying about Magnetohydrodynamics from Dr. Arnab Rai Choudhuri’s textbook “The Physics of Fluids and Plasmas: An Introduction for Astrophysicists” .

Finesse (Frequency domain INterfErometer Simulation SoftwarE) Workshop and Hackathon

  17/12/2019-11/03/2020      IUCAA Pune

Finesse is a sophisticated simulation package for modelling optics and laser interferometers. This interferometer modelling software was developed for the design of gravitational wave detectors, but is easy to use for students with simpler lab-based setups as well. It includes advanced features such as higher-order modes, quantum noise and radiation pressure effects.

Reducing the flexing of the arms of LISA - a space based Gravitational Wave detector

  15/05/2019-15/07/2019      Dr. Rajesh Nayak, IISER Kolkata

LISA stands for Laser Interferometer Space Antenna, it will be a spaced based gravitational wave detector with an array of three spacecrafts in heliocentric orbit. I show how a three body system can be used to model the system and reduce the flexing in the arms of LISA over a period of time.

Deriving Geodesic equations for different types of metrics

  08/12/2018-25/12/2018      Dr. Naresh Dadhich, IUCAA Pune

A reading project of paper “Curved Space, curved Time, and curved Space-Time in Schwarzschild geodetic geometry (arxiv:1812.03259) This project was primarily a reading project, I derived and calculated all the geodesic equations for different types of metrics associated with Schwarzschild geometry, considering space and time curvatures separately.

Reading project in Cosmology, General Relativity and Dark Matter

  15/05/2018-15/07/2018      Dr. Subhadip Mitra, IIIT Hyderabad

A reading project in General Relativity, Cosmology and Dark Matter I studied General Relativity and Cosmology following textbooks by Scott Dodelson, Bernard F. Schutz and James Hartle. The report for the project can be found here

Quantum transport in mesoscopic system

  20/05/2017-20/07/2017      Dr. Sourin Das, IISER Kolkata

I primarily simulated quantum and mesoscopic systems in Python using Kwant module of Python. I simulated different types of topological insulators and varied the position of gates in it and show the periodicity in conductance offered. I also simulated Quantum Hall effect as well as 2D electron gas.

Seminars, Conferences and Workshops attended

Presented my work at UMassD over summer of 2020 at UMassD Physics colloquium (slides)

  03/09/2020      UMassD Physics Colloquium

VIJYOSHI 2017-Science Camp

  10/12/2017-12/12/2017      IISER Kolkata

VIJYOSHI 2016-Science Camp

  05/12/2016-05/12/2016      IISER Kolkata

Education

 5 Year BS-MS Dual Degree Program

  Indian Institute of Science Education and Research, Kolkata(India)

Department:- Physics
CGPA:- 8.1 (as of 8th semester)

Courses Pursued:-
Physics:
Classical Mechanics (Level:- Goldstein), Quantum Mechanics (Level:- Griffiths & Sakurai ), Wave Mechanics (Level:-A.P. French, H.J. Pain) ,Electronics (Level:- Malvino), Mathematical Methods (Level:- Boas & Arfken), Electrodynamics (Level:- Griffith), Thermodynamics (Level:-Zemansky, Callen) , Statistical Mechanics (Level:-K. Huang), Electronics Lab, Computational Physics (Numerical differentiation, integration, matrix decomposition, Differential -equation solving, system of linear equation, probability problems and stochastic problems-using Python), Advanced Optics Laboratory, Basic Nuclear Physics - Theory and Laboratory

Mathematics: Linear Algebra (Level:- Friedberg, Spencer), Real Analysis (Level:- Bartle and Sherbert), Probability and Statistics, Statistics Lab (using R and python-pandas) and Theory (Descriptive Statistics, Applications of Different Moments, Correlation and Regression, Sampling, Inference )

Outside Curriculum: General Theory of Relativity and Cosmology (Level:- Hartle, Schutz, Caroll), Quantum Field Theory (David Tong’s notes), Machine Learning (you-tube lectures), Science Communication (course by Prof. Lewis Dartnell, University of Westminster at IISER Kolkata)

 All India Senior Secondary Certificate Examinations

  Creane Memorial High School, Central Board of Secondary Education (CBSE), Gaya, Bihar (India)

Score:- 95%
Subjects studied:- Physics, Chemistry , Multimedia and Web Technology, Maths, English

 All India Higher Secondary Examination

  D.A.V. Public School Cantt. Area Gaya, Central Board of Secondary Examination (CBSE), Gaya, Bihar (India)

Score:- 95%
Subjects studied:- Maths , Science, Social Sciences, English,Computer Science , Hindi