Updated September 4, 2026

This page is usually a list. It is a much longer list than it used to be, and that is the point.

A good part of what I do now sits under agreements I intend to keep, and some of it is early enough that writing it down in detail would mostly be a way of being wrong in public later. So the specifics are not all here. What follows is the shape of it, which is accurate, and which is the part that is mine to publish.

Research

Yang–Mills and mass generation A continuation of the 2023 confinement model and the 2025 Stueckelberg extension. The current work develops the BRST-quantised action further: tightening the one-loop renormalisation, working out the two-loop structure, refining the non-polynomial vertex structure, and looking toward the lattice formulation and numerical evidence. The harder thread is the connection between Stueckelberg mass generation and the Gribov problem, and through it a route to a statement about the mass gap that survives beyond perturbation theory. This is a multi-paper programme. It moves at the pace it moves at, and it is not stopping.

Quantum gravity QGET remains live. Reduction to the Einstein field equations in the classical limit, the possible correspondence with spin foam amplitudes in loop quantum gravity, and the treatment of the horizon as a boundary of the entanglement graph for the black hole information question.

Distributed quantum computing DQERA: an architecture for distributed quantum computation built on entanglement routing. The premise is that useful quantum computation arrives as a network of small machines sharing entanglement rather than as one large machine, which makes routing, purification, and scheduling under loss the actual bottleneck. I work on this with a team that runs from PhDs to quantitative researchers, which is an unusual mix and the reason the architecture looks the way it does.

Topological market research A graph-theoretic framework for market regime detection using persistent homology applied to correlation and limit order book topology. The question: whether topological invariants of microstructure graphs carry predictive information about regime transitions that conventional time-series methods cannot resolve. The mathematics and the strategy layer are being built at the same time, which is slower but keeps me honest about which one is doing the work.

Systems and protocol architecture The preprint and the implementation of the protocol translation work are out. The engineering problem underneath, making systems that were never designed to communicate do so reliably and in real time without proprietary dependencies, turned out to be the beginning of something rather than the end of it. That is as much as belongs on this page.

AI and finance infrastructure Building toward an institutional-grade, AI-native investment framework: research pipeline, signal generation, and execution designed around machine reasoning from the ground up rather than retrofitted onto legacy infrastructure. The theoretical framework is being laid.

Building

The deeptech company. Research programmes running in parallel across space, defence systems, electronics, artificial intelligence, and robotics. The current work is moving more than one of them from a research result to something someone will actually pay for. That transition is the entire difficulty, it is where almost every Indian deeptech story dies, and most of my operational time goes into it.

The ecosystem practice. Research and development delivered as a service to companies that need a research function they cannot staff, plus investment consulting, which I do personally. Both came out of watching the same two failures repeat: good technology with no research discipline behind it, and capital that cannot evaluate what it is buying. Pricing that second failure correctly is most of the opportunity.

Research infrastructure. An operating system for researchers: literature, data, experiments, drafts, versions, collaborators, and funding currently live in tools that know nothing about each other, and I am building the layer that connects them.

The bet underneath it is larger than the tooling, and it is about how research gets valued in the years before it becomes a patent or a product. That part is not written down yet. It will be, when the thing is ready to be used rather than described.

Scientific outreach. The society continues: guest lectures, Indian researchers put in front of students who would otherwise never meet one, and international olympiads. It makes no money and is not meant to. Longest payback in the portfolio, and probably the highest return. It has a name. It is not on this site yet.

Institutional work. Working with groups at IIT Delhi and IISc Bangalore.

Learning

BRST formalism and ghost field quantisation in more depth: the renormalisation side of the Yang–Mills extension requires it.
Quantum network theory and entanglement distribution protocols, for DQERA.
Measure theory and stochastic processes, properly, not as prerequisites to check off.
Solving problems from OTIS 2025 under Dr. Evan Chen.
A good deal of operational and financial work that I did not expect to be learning this year.

Reading

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

Recent

  • Began the DQERA architecture work with the distributed quantum computing team.
  • Started working with groups at IIT Delhi and IISc Bangalore.
  • Attended the launch of Navachar Mantra. Wrote about it here.
  • Attended the ICC World Technology Convention in Mumbai. Wrote about it here.
  • Attended YC Startup School in Bangalore. Wrote about it here.
  • Released the review paper on Econophysics.
  • Released the preprint and code of A Software-Defined Protocol Translation Architecture for Multi-Domain Defence Asset Integration.
  • 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.
  • Selected for Dr. Evan Chen’s OTIS 2025 olympiad training program.

Several things are being built at once. Most of them do not have names on this site yet, and a few will not get them for a while. The full arc, from grade 5 to here, is on the home page.

Ask me in person.