Now

Updated March 2026

Research

Theoretical Physics — Yang–Mills & Mass Generation A continuation of two prior papers: the 2023 confinement model and the subsequent Stueckelberg extension. The current work develops the BRST-quantised action further — tightening the one-loop renormalisation, refining the non-polynomial vertex structure, looking towards the lattice formulation and numerical evidence, attempting a construction of the continuum limit and towards a cleaner first-principles treatment of the mass gap. The preprint of A Gauge-Invariant Stueckelberg Extension of Yang–Mills Theory has been released; the work continues from there.

Quantitative Research — Topological Fragmentation Developing a graph-theoretic framework for market regime detection using persistent homology applied to limit order book topology. The central question: whether topological invariants of microstructure graphs carry predictive information about regime transitions that conventional time-series methods cannot resolve. Both the mathematics and the strategy layer are being built simultaneously.

Defence Systems Working on a protocol translation architecture for multi-domain defence asset integration — the engineering problem of making systems that were never designed to communicate do so reliably, in real time, without proprietary dependencies. The longer-term ambition is a software-defined infrastructure layer for sovereign defence capability. Early stage; most of it cannot be discussed yet.

AI & Finance Infrastructure Building toward an institutional-grade AI-native investment framework — one where the research pipeline, signal generation, and execution layer are designed from the ground up around machine reasoning rather than retrofitted onto legacy infrastructure. The theoretical framework is being laid.

Learning

Working through the BRST formalism and ghost field quantisation in more depth — the renormalisation side of the Yang–Mills extension requires it.
Measure theory and stochastic processes, properly — not as prerequisites to check off.
Preparing for JEE 2027 alongside all of the above.
Solving problems from OTIS 2025 under Dr. Evan Chen.

Reading

The Brothers Karamazov — Dostoevsky, again.
Classical Theory of Gauge Fields — V. Rubakov, for the role of topology in guage theories.
Against the Gods: The Remarkable Story of Risk — Bernstein.
When Genius Failed — Lowenstein.

Recent

• Released the preprint of A Gauge-Invariant Stueckelberg Extension of Yang–Mills Theory.
• Placed second at the IIT Bombay Mathematics Olympiad 2026 (41st edition). Wrote about it here.
• Attended BeCon 2026 at IIT Delhi. Wrote about it here.
• Selected for Dr. Evan Chen’s OTIS 2025 olympiad training program.

Several things are being built at once.