My Research
I am a Ph.D. candidate in Physics at Northeastern University under Prof. Pran Nath. My work centers on early‑universe cosmology, first‑order phase transitions, stochastic gravitational waves, dark sectors, and the thermal history of the universe. I build and validate numerical pipelines for effective potentials, tunneling/bounce actions, and gravitational‑wave spectra.
Research focus
Hidden‑sector model building & thermal histories: supercooling, portal couplings, nucleation dynamics (β/H, bubble spectra), and PTA/mHz gravitational‑wave forecasts. I develop models that connect early‑universe dynamics to observable gravitational‑wave signatures.
Gauge‑invariant methods: Nielsen identities for phase transitions and gauge invariance via the Metaxas–Weinberg approach.
Software/HPC: CosmoTransitions and custom Python/Mathematica pipelines for large‑scale scans and inference, with clean interfaces to gravitational‑wave and cosmology constraints.
CosmoHidden_lite
Minimal utilities to explore a 1D U(1) scalar finite-temperature effective potential and compute the tunneling action S(T) using cosmoTransitions path deformation. Built to support analyses in paper 2501.14986.
LLM & AI Research (Hobbies)
Alongside my primary work, I pursue some projects on large language models, AI agents, and formal mathematics as my hobbies.
LLM theory: With Jitang Li, I co‑authored Memory, Consciousness and Large Language Model, proposing a conjectured duality between LLMs and Tulving’s memory theory. We relate synergistic ecphory to emergent abilities in LLMs and speculate that consciousness may itself be emergent.
AI agents: I explore agentic applications in gaming and VTubing—advanced agents with memory and autonomous decision‑making for dynamic content and persistent worlds. Our VTuber prototypes combine LLMs with real‑time interaction to adapt personalities over time.
Autoformalization (Lean): I co‑lead an effort to translate textbooks and current research into verifiable Lean code, building workflows for autoformalization. A pilot library is forthcoming.