Deep-dive educational sessions into the Universe Risk Framework (URF)™. Explore the mathematical foundations of geometric finance, from Ricci Curvature and SPD(5) manifolds to geodesic stress testing. These sessions bridge the gap between differential geometry and operational risk management for modern portfolios.
Wall Street took $358 billion of market capitalisation away from Alphabet on 22 July. In eight sessions, it has taken all of it back — and added another $1 trillion across the four US hyperscalers combined. The reversal is not a footnote. It is the story. Three Manifolds · Tech Manifold Monthly Special · Issue…
The S&P 500 index gained 1% on Thursday and the dollar posted its best week since 2024. Under both surfaces, three independent epicenters — XLRE in the US, STOXX Construction in Europe, and the US 3-month bill at a +145% above-geodesic record — give the convergence its geometric signature. The price moved; the joint dispersion…
Five hedges, one exit — and the 3-month T-Bill (TBIL ETF) is the most geometrically divergent component on a 77-asset panel: +142.9% above its panel-derived equilibrium return path, an annualised ~2.5 percentage-point gap on the Fed Funds equivalent. The asset most controlled by the Fed is the one most disconnected from the rest of the…
A 6-minute read for boards, CROs and CFOs. Most institutional risk models assume the space they measure is flat. A single, reproducible measurement says it is curved by about a quarter — and more in a crisis. Archegos shows the cost of a risk seen and not acted on. This is about the one your…
For a decade, the financial industry has been obsessed with Machine Learning (ML). We were no exception. We spent years building supervised models for company ratings, loan origination, and credit scoring—achieving the industry standard of 95% to 99% accuracy. But when we challenged our models to anticipate structural market crises—the true test of any risk…
In today’s volatile markets, identifying reliable Systemic Risk Signals is the holy grail of portfolio protection. While most investors rely on the VIX, a more advanced approach using the Universe Risk Framework (URF) provides earlier warnings.” Analyzing Systemic Risk Signals through Geometry To detect structural fragility, we must look deeper into the geometry of covariance…
