Research

My main areas of interest are general relativity, field theory and black holes. Over the past few years my research has been directed towards following topics:

  • Asymptotic Symmetries and Soft Theorems
  • Near horizon symmetries of black holes
  • Gravitational Memory Effect
  • Classical & quantum instabilities inside the black holes
  • Quasi normal modes of black holes
  • Black hole thermodynamics
  • Statistical mechanics & linear response theory.
  • Non linear dynamics and infectious disease modelling.

A very useful resource for gravitational physics: here

Research projects

  • "A study of black hole horizons with (semi) analytic approaches", MATRICS; SERB-DST 2023-2026
  • "Near horizon structure of black holes," SERB-DST ECR award, 2018-2022 (completed)
  • "Probing the interior of AdS Black Holes," Seed grant from IIIT Allahabad

    • List of publications

    My publication list can be found here and here

    Ph.D. Supervision

    Completed: Shailesh Kumar (Postdoc at IIT Gandhinagar); Title of thesis: Gravitational Memory Effect for Near Horizon Asymptotic Symmetries
    Ongoing: Subhodeep Sarkar (Thesis submitted)
    Divyesh Solanki

    M. Tech. Thesis Supervision

  • Supervised: "Population models with varying carrying capacity", Vipin Tirkey; Stochastic resonance (Arvind Saroj), Noise induced transition (Raviranjan Kumar), Modelling Tumor growth (Sujeet Kumar), Modeling Epilepsy and Alzheimer (Shruti Gupta), Ananya Mishra (Heart disease), Ayush Shukla (optimization), Vansharaj Singh(parametric resonance), Vikash Kumar(NLD),Anand Khandelwal(NN architecture) Jay Vyas (ML methods in predicting fluid dynamics), Mayank Maravaniya, Kayuum Yusuf Ali, Kavin Prasath .
  • Ongoing: Himanshu Shekhar Pandey

    • SERB funded VRITIKA internship COMPGRAVIIITA

  • "A study on black hole quasi normal modes", completed by Ashley Chraya of IISER Mohali.
  • "Initial Value Formulation of General Relativity", completed by Ayon Tarafdar of University of Calcutta.

    • Summer/Winter and other Projects

  • "Heart as Self Oscillatory System", Vishal Mugetia (IIITA).
  • Summer intern (2018): "Mass inflation instability in black holes", Amit Gupta (Delhi Technological University)
  • Vishal Mugetia (IIIT Allahabad)on Heart as a self-oscillatory system(2017)
  • Vishal Mugetia and Sanjeev Rajpoot (IIIT Allahabad)Noise reduction in electrical systems
  • Priyam Srivastava (IISER Bhopal) on Entanglement Entropy
  • Sanjoy Saha (IIT Gandhinagar) on Lagrangian formulation of General Relativity
  • Payal Roy (Calcutta University) on Raychaudhuri equation
  • Tiyasa Kar (NIT Surat) on Path integral in quantum and stochastic systems
  • Sourin Naskar (NIT Rourkella) on Introduction to Einstein's equation
  • Sanchayan Banerjee (RKMRC NArendrapur) B.Sc. project on motion of test particles in rotating spacetimes
  • Saptarshi Ghosh (RKMRC, Narendrapur) on Linearized gravity and gravitational waves
  • Sanchari Biswas and Yuvasri G (Christ University, Bengaluru); A Study on Black Hole Shadows; M. Sc. Dissertation 2021-2022