My Ph.D. work develops exact amplitude-level, gauge-respecting electroweak precision calculations for hadron colliders. I use YFS/CEEX-style exponentiation in KKMC-hh to study radiative corrections for processes such as Drell–Yan 𝑍/𝛾*→ ℓ+ℓ− + 𝑛𝛾, with an emphasis on properly treating soft and collinear effects in realistic LHC kinematics. The long-term goal is to provide reliable, exact predictions for precision measurements and PDF fits.

I am developing a framework to study how small metric perturbations affect extremal surfaces and entanglement measures in time-dependent AdS spacetimes (such as thin-shell AdS–Vaidya and charged generalizations). The idea is to treat extremal surfaces as dynamical objects and analyze their response under controlled perturbations of the background geometry. This is aimed at understanding when entanglement transitions occur during quenches and how robust area-based descriptions are in genuinely dynamical settings.

Here, I use Schwinger–Keldysh real-time techniques, out-of-time-ordered correlators, and pole-skipping diagnostics to study quantum chaos in dynamical black hole backgrounds (e.g., BTZ–Vaidya) and in SYK-chain-inspired models. I am particularly interested in how chaotic indicators such as Lyapunov exponents and characteristic frequencies behave in time-dependent situations, and when they can be meaningfully related to effective temperatures or other thermodynamic parameters.

A long-running line of my work concerns quantum foundations and quantum information in settings inspired by black hole physics. Earlier projects studied preparation contextuality, steering, and entropic non-contextuality inequalities, as well as how foundational assumptions feed into security claims in quantum cryptography. More recent work focuses on sector-resolved decoupling in symmetry-preserving local circuits and on horizon-motivated two-mode–squeezed models of radiation, where I analyze how scrambling and nonclassical correlations can certify device-independent secrecy in a fully operational way. Across these projects, the emphasis is on making the assumptions and “black-box” elements completely explicit, so that statements about information flow and security remain honest and sharply formulated.

This project is about developinga a minimal, falsifiable mechanism for preserving two-qubit entanglement in an open topological environment. The setup couples two qubits to the ends of a finite Su–Schrieffer–Heeger (SSH) chain that is itself connected to external leads, and then adds a single tunable “bridge” link between the two ends. By choosing this bridge appropriately—using only information contained in the end Green’s functions—one can create a dark, bound-state-like channel that protects part of the joint qubit state from decay, leading to a nonzero entanglement plateau at long times. When this design condition cannot be met, the theory leads to a sharp lower bound on decay rates inherited from the environment, so all entanglement must eventually vanish. The framework is fully analytic, experimentally testable with small non-Hermitian matrices, and connects topological phase structure, open-system dynamics, and entanglement protection in a single, controllable model.

I am developing COSMOS-Workbench, a Streamlit-based environment for organizing and running theoretical-physics workflows: astrophysics simulations, holography numerics, string-theory landscape scans, and data analysis. It is built around open-source, local-first, fully reproducible practice: version-controlled code and data, scripted parameter scans, and clear provenance for the better understanding, and insights.

In parallel with my core physics work, I develop a small collection of geometric and quantum-inspired learning models that I label internally as QNAE, AHKG, and DERTSA. One line focuses on attention blocks with renormalization-group–style consistency across sequence lengths, using sparse and low-rank components while remaining compatible with modern fast attention implementations. A second line builds quantum-geometric embeddings, where data are represented as quantum states and optimized using information-geometric tools such as quantum Fisher metrics. A third line studies curvature-aware graph embeddings in hyperbolic/Lorentzian spaces, guided by discrete Ricci-flow–type updates to control distortion and ranking quality on hierarchical graphs. These projects are aimed at models whose structure and training dynamics are mathematically transparent, rather than purely heuristic.

I have investigated the basics of Superstring Theory and AdS/CFT intensively. I explored holographic techniques to calculate the scattering amplitudes mainly gravitational scattering in BH background and correlation functions in both equilibrium and far from equilibrium systems. I learnt OPE method and GKPW prescription deeply. I also studied how four point out-of-time-ordered correlators indicate the notion of Quantum chaos in the system. This results to my Masters Thesis "Correlators in Holography". I have used AdS-RN-Vaidya Black hole for calculating the 4 pt OTOC function in corresponding boundary CFT using HEE in great details.

This project explored how certain universal physical phenomena can be viewed as analog quantum computers. I examined simple systems that naturally implement two-level dynamics, interference, or universal gate sets, and asked when their evolution can be interpreted as performing a computation rather than just mimicking one. The work clarified which features of “quantum computation” are truly special and which can appear in more general analog settings.

I studied quantum cloning and its implications for quantum cryptography. Starting from the no-cloning and no-signalling theorems, I looked at approximate cloning machines and analyzed how their imperfections limit eavesdropping strategies in standard key-distribution protocols. The emphasis was on understanding the information–disturbance trade-off within simple, concrete models.

This project was a data-analysis study on whether features extracted from audio recordings can help infer the geographical origin of songs. I built and trained standard machine-learning models (including random forests and related classifiers) on features such as rhythm, pitch distributions, and timbral descriptors, and compared their prediction performance under different preprocessing choices. The emphasis was on understanding what the models were actually learning and on the limitations and biases of using such classifiers for cultural or geographical labeling.

This line of work, with Prof. Alok Pan, surveyed and extended ideas at the interface of quantum foundations and quantum cryptography. I studied how foundational notions such as non-locality, contextuality, and steering can be repackaged as resources for key distribution and other cryptographic tasks. The emphasis was on carefully stating assumptions (trusted devices vs device-independent) and seeing how foundational inequalities translate into concrete security statements.

This project reviewed several approaches to quantizing spacetime: canonical quantization, path-integral methods, loop-inspired ideas, and discrete / emergent spacetime scenarios. Under the guidance of Prof. Panigrahi, I focused on what is actually calculable in simple models (e.g. mini-superspace, toy spin-network constructions), how causality and locality are implemented, and which conceptual problems genuinely differ from standard QFT on curved backgrounds.

With Prof. Alok Pan, I worked on understanding preparation contextuality and quantum steering as operational resources. The goal was to connect abstract contextuality inequalities with concrete experimental scenarios (e.g., qubit and qutrit systems), and to see how preparation contextuality shows up in tasks like randomness certification and secure communication. I focused on writing inequalities and toy models in a way that makes the “hidden assumptions” as explicit as possible.

This project, with Prof. Prasanta K. Panigrahi, examined spiky string / soliton-like solutions in AdS/CFT as simple models of highly excited states in the dual gauge theory. I studied classical string solutions in AdS backgrounds, how spikes and cusps appear, and how conserved charges map to dual operator dimensions. The emphasis was on understanding how much of the physics can be captured analytically with controlled approximations.

Here I explored optical analogues of black holes and transformation optics. The project surveyed how effective metrics arise in metamaterials, how light can experience horizons or trapped regions, and how coordinate transformations can be implemented with spatially varying refractive indices. As a side theme, I studied invisibility-cloak geometries and how their ideal behavior is limited by dispersion, losses, and fabrication constraints.

This was an intensive self-study project in quantum field theory and path integrals, guided by Prof. Sunandan Gangopadhyay. I worked through standard derivations of generating functionals, Feynman rules, and regularization/renormalization in simple scalar and spinor theories, with particular attention to which steps are heuristic versus fully justified. The goal was to build a “Weinberg-style” understanding of QFT foundations before applying it to more complicated systems.

In this project I investigated early ideas in quantum machine learning, focusing on “quantum neuron” constructions and simple variational circuits. I studied how classical perceptron-like behavior can be emulated with unitary gates and measurements, which architectures actually offer expressive power beyond classical baselines, and how noise and decoherence affect learnability. The outcome was primarily conceptual: clarifying which proposals are genuinely quantum and which are just classical ML in disguise.

This project, with Prof. Dipankar Chakraborty, looked at the Aoki phase in lattice QCD with Wilson fermions. I studied how explicit chiral-symmetry breaking from the Wilson term can lead to spontaneous breaking of parity and flavor, giving rise to a non-trivial phase diagram with parity-broken regions and massless pions at certain critical lines. The work combined reading analytic effective-theory treatments and numerical results to understand how the phase structure emerges in practice.

In this quantum-mechanics project with Prof. Panigrahi, I studied the supersymmetric WKB (SWKB) approximation, focusing on the conditions under which SWKB can be exact. I worked through examples of shape-invariant potentials and compared SWKB predictions to exact spectra, with the goal of understanding how much of the apparent “magic” is due to hidden algebraic structures rather than just semiclassical trickery.

This introductory quantum-information project surveyed quantum algorithms such as Deutsch–Jozsa, Grover’s search, and Shor’s algorithm. I focused on writing out the circuits and state evolution step by step and implementing small-scale simulations, to see exactly where quantum speed-up appears and how sensitive it is to noise and imperfect gates, also understand problems like Quantum Chess, Quantum Travelling salesman Problem etc.

As an electronics project, I modeled and built a mobile signal detector circuit as a course project of Profs. Soumitro Banerjee and Goutam Dev Mukherjee. The aim was to understand, at a practical level, how high-frequency RF signals can be picked up and rectified with simple components, how to design for sensitivity vs robustness, and how theoretical circuit calculations compare with real-world behavior.

his project, with Prof. Panigrahi, explored entropic formulations of non-contextuality. I studied how entropic inequalities can capture contextual behavior in finite-dimensional systems, and how they differ from more familiar correlation-based inequalities. The focus was on simple scenarios where the assumptions, measurement settings, and outcome statistics can be written down explicitly.

Under Prof. Dipankar Home, this project examined quantum decoherence from both conceptual and model-based perspectives. I reviewed how environment-induced decoherence suppresses interference terms in realistic setups, looked at simple master-equation models, and tried to connect these ideas to concrete interferometry-style thought experiments. The aim was not to solve the measurement problem, but to understand precisely what decoherence does and does not explain.

In this review-style reading project, I studied quantum Brownian motion as a standard model of an open quantum system. I worked through textbook and review treatments of system–bath Hamiltonians, tracing out environmental degrees of freedom, and deriving master equations for dissipation and decoherence. The goal was to build solid intuition for how classical-looking noise, friction, and loss of coherence arise from fully quantum dynamics, and how fluctuation–dissipation relations appear in this framework.

Under Prof. Patrick Dasgupta, I examined statistical methods for studying the alignment of radio-jet vectors in galaxies. The project involved characterizing orientation distributions on the sky, understanding selection and projection effects, and assessing what kinds of data and analysis are needed to make robust claims about genuine alignments.

With Prof. Supratik Mukhopadhyay at SINP, I simulated charge diffusion over the anode of a Piggyback MICROMEGAS detector. I used simplified models of avalanche formation and diffusion to study how design parameters influence spatial resolution and signal shapes, getting intuition for detector optimization.

I attended an intensive summer school at the Indian Statistical Institute under Prof. Guruprasad Kar, focused on the foundations of quantum information, computation, and cryptography. The program covered the mathematical structure of quantum theory (states, measurements, quantum channels), entanglement and Bell nonlocality, quantum algorithms at the circuit level, and standard cryptographic protocols such as BB84- and Ekert-type schemes. Through lectures and problem sessions I worked through detailed derivations and examples, with particular emphasis on how security proofs and information-theoretic bounds arise from the basic postulates of quantum mechanics.

This early project guided by Prof. Ananda Dasgupta used Visual Python to simulate classical three-body dynamics. I explored simple initial conditions for gravitational three-body systems, visualized trajectories, and looked for periodic or quasi-periodic behaviors. The goal was to build intuition for chaotic classical dynamics and numerical methods, rather than to discover new exact solutions.