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PhD

Brandeis University

Physics

B.Tech

Indian Institute of Technology Bombay

Engineering Physics

Locality and the Python's Lunch Conjecture

In Preparation

Geometric Surprises in the Python's Lunch Conjecture

SciPost

We uncovered some exotic properties of an index-1 surface which we did not expect, by borrowing ideas from Almgren-Pitts min-max theory.

Quasinormal Modes of Black Holes

Springer

This is an introductory, accessible article on quasinormal modes of a black hole.

Tensor Network Analysis of Python’s Lunch Conjecture

Collaborated on Tensor Network approaches to black-hole interior reconstruction, investigating how newly identified bulge-surface geometry affects algorithms and providing evidence for faster information extraction.

Geometric Analysis of Python’s Lunch Conjecture

Analyzed time complexity for interior reconstruction and developed a mathematical framework for the bulge surface; solved PDE eigenvalue problems in multiple geometries with implications for Tensor Networks.

Entanglement Entropy in Field Theories (Bachelor’s Thesis)

Reviewed entanglement entropy in the 2D AKLT model, the replica trick for 2D CFTs, and the quantum Hall effect via Chern–Simons theory; integrated methods across lattice models and continuum field theory.

Supersymmetric Path Integrals and the Index Theorems

Studied 0+1D supersymmetry and superspace; rederived Gauss–Bonnet and Hirzebruch signature results; reproduced the Dirac index leading to the Atiyah–Singer index theorem; explored localization for SUSY path integrals.

Quasinormal Modes of Black Holes

Analyzed ringdown behavior using analytic methods for Schwarzschild and Reissner–Nordström black holes and extended the study to f(R) gravity; later published an accessible overview.

Cosmic Microwave Background Detection

Worked with the KUMODeS II receiver (KEK) to detect atmospheric water vapor and CMB signatures; explored adapting CMB-detection techniques for weather forecasting with Python-based analysis and modeling.

Analysis of Dwarf Spheroidal Galaxies for Dark Matter Signal

Processed Fermi-LAT GeV data on an HPC cluster; modeled fluxes using CLUMPY J-factors and density profiles; used HEALPix masking and χ² fits to estimate NFW parameters.

Undergraduate Research Award

Indian Institute of Technology Bombay

Conferred for junior year thesis titled “Quasinormal Modes of Black Holes.”

Runner-up for Data Analysis Championship

Indian Institute of Technology Bombay

My team and I developed an algorithm to isolate a gravitational-wave signal and inferred the merger mass.

Teacher

National Service Scheme

I volunteered to teach computer skills to students from low-income communities, covering digital fundamentals, Microsoft Word, and Excel.