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Research

Field notes from the team building it.

Practitioner-grade write-ups on the decisions inside Nyquist — what we measured, what we cut, and where the boundary of what AI agents can actually do in production sits. No vendor demos, no hand-waved Sharpe figures.

★ Latest
Structured Products · Lévy Processes · Stochastic Volatility · Calibration

The effectiveness of Lévy processes and stochastic-volatility models in pricing structured products.

Seven models calibrated to live July 2026 option chains on SPX, AAPL and SPY, then used to price four structured products. Smile fit runs from 6.45% IV-RMSE under Black-Scholes to 0.54% under Bates — and on the same market data the fair coupon on a barrier reverse convertible moves from 4.279% to 7.635%. The hedging-error tables say the left tail belongs to unhedgeable jump risk, not to model choice.

August 2026
Paper · 14 pages
PDF · code · data
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Volatility Geometry · SABR · Heston · Information Geometry

Correlation is a hyperbolic distance.

The parameter space of a stochastic-volatility model is not flat, and the cost of pretending otherwise is measured here: ρ = tanh(δ) to 1.6·10⁻¹⁵, Euclidean covariance averaging under-reports risk by 26–37%, straight-line stress-path interpolation distorts it by 27–108%, and calibration under the right metric converges in 2 iterations instead of 833. Every claim maps to a named table in the repository.

July 2026
Paper · 15 pages
PDF · code · data
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Regime Switching · Tail Risk · VaR/ES Backtesting · Fixed Income

Hidden Markov model with Student's-t emissions for regimes of a bank bond portfolio return.

A four-regime multivariate HMM with heavy-tailed emissions on 904 trading days of a 124-issue RUB bond portfolio, validated the way a supervisor would. Over 403 rolling forecasts the Gaussian model breached its 99% VaR 10 times against a nominal 1% and was rejected by Kupiec and Christoffersen; the Student-t HMM breached twice and was not. The stress signal reaches an out-of-sample AUC of 0.88.

July 2026
Paper · code · data
Reproducible pipeline
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Superfluid Hydrodynamics · Pre-registration · Formal Verification · Lean 4

Unified quantum hydrodynamics of helium II: systematic exclusion of theory classes for the sign of transverse mutual friction.

A pre-registered exclusion program for a controversy open since 1965. Four of five reactive theory classes are ruled out against criteria fixed in advance; every formulation tested collapses to one algebraic boundary; the algebraic core is machine-checked in Lean 4 — 55 theorems, zero sorry, and the proof assistant found a sign error in the original analytics. Not a market model: what transfers is the method.

September 2026
Preprint · 41 pages
PDF
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Green Bonds · ESG Ratings · Climate Risk · EU Taxonomy

Green finance, ESG & sustainable finance: a literature review and research agenda.

A systematic review of 2018–2026 across five domains — green debt & the greenium, ESG rating divergence, climate risk as a priced factor, prudential stress testing, and the disclosure/taxonomy stack. Sustainable finance is now mainstream in form; a persistent measurement crisis and a political backlash leave it contested in substance.

June 2026
22 min read
5 domains
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DeFi · RWA Tokenisation · CBDC · MiCA

Digital assets, Web3, DeFi & CBDCs: a literature review and research agenda.

A systematic review across five domains — AMM market economics, the DeFi risk taxonomy, RWA tokenisation, CBDC design, and the regulatory architecture. The ecosystem crossed from speculation to institutional infrastructure; the gap between innovation pace and risk-framework maturity is the systemic story of 2026–2030.

June 2026
23 min read
5 domains
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★ Previous research
Machine Learning · Asset Pricing · LLMs · Systemic Risk

AI & machine learning in finance: a literature review and research agenda.

A systematic read of 2019–2026 across asset pricing, microstructure & RL, credit & fairness, NLP/LLMs and systemic risk. ML roughly doubles linear out-of-sample R², LLMs rival sell-side analysts, GNNs deliver a new tier of early warning — with opacity and strategy convergence as the unresolved cost.

June 2026
22 min read
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Simulation · Agent-Based Models · Market Infrastructure

Market digital twin: what urban planning taught us about modeling markets.

Singapore built a living replica of a city and tested interventions inside it before touching the real one. The five-component architecture of a market digital twin — real-time state sync, heterogeneous agents, an LLM semantic engine, a counterfactual engine, continuous recalibration.

28 May 2026
20 min read
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Architecture · AI Stack · Production Quant

Hybrid quant architecture: why neither pure AI nor pure classical works in production.

A London fund swapped its factor stack for a GPT-5.5 agent — Sharpe collapsed 1.4 → 0.6 in eight weeks. The five-layer hybrid stack that wins, plus the operational invariant: LLMs never do arithmetic that affects a trade.

15 May 2026
22 min read
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Quant Talent · AI in Finance · Hiring

R-Quant: the new profession AI just created in finance.

Statistician → Programmer-Quant → ML-Quant → R-Quant. The fourth speciation event in quant finance — a practitioner who orchestrates, evaluates and governs fleets of AI agents instead of writing one model at a time.

15 May 2026
18 min read
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LLM Limits · NVIDIA NIM · Agent Architecture

Why even Claude Opus 4.7 and GPT-5.5 fail at quantitative finance.

Five structural failures across every frontier model, and the 36-agent + NVIDIA NIM architecture Nyquist productionised at .09M/yr — a 70–83% cost cut vs. custom GPU clusters.

14 May 2026
26 min read
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Backtesting · Data Quality · Production Risk

Your backtest is lying to you — the hidden cost of dirty market data.

Eight market-data failure modes that inflate apparent Sharpe by 0.2–0.5, and a worked example that walks Sharpe 1.61 → 1.19 under honest cleaning.

13 May 2026
12 min read
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Quantum · Cryptography · Risk Infrastructure

Quantum supremacy in finance — marketing or reality?

A line-by-line audit of the four canonical claims, and the one quantum task that already deserves budget today: NIST post-quantum migration.

13 May 2026
18 min read
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Financial Infrastructure · Polemic

No, you didn't build the next Bloomberg Terminal with Claude in a weekend.

The $200M data-licensing tax, the 18-month compliance onboarding, point-in-time correctness, and a framework for reading the next 'Bloomberg killer' headline.

11 May 2026
24 min read
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Infrastructure · MLOps

What it actually takes to run 36 AI agents in production.

Three compute tiers, four architecture layers, six cost tables, the hidden clearing/connectivity/compliance bill — 18–24 months and $300K before a single line of alpha ships.

11 May 2026
22 min read
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CeDeFi · Risk Infrastructure

CeDeFi is the only realistic path to institutional DeFi adoption.

The four-layer architecture, five DeFi structural blockers, four CeFi weaknesses, and the quantitative risk frameworks that make it auditable.

11 May 2026
28 min read
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Data Infrastructure · Ontology

Why finance still doesn't have a proper data layer — and what an ontology fixes.

The five semantic failure modes that consume 60–80% of every quant team's time, and the five-layer architecture that eliminates 80–90% of them.

11 May 2026
16 min read
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Quantitative · AI Infrastructure

AI Agents in Trading: where the real boundary of applicability lies.

Where LLM-based signal generation adds edge, where it destructively competes with classical factor methods, and what breaks at 9:31 AM on a CPI print day.

11 May 2026
22 min read
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★ 03   Start your pilot

From the write-ups to the live desk.

Part of this research is wired into the platform; the rest is context. Open the demo and watch the agent swarm debate on your own book — no calls, no scheduling.