Papers, ranked by score

Ordered by a blend of empirical rigor (60%) and math complexity (40%).

Optimal Fees for Liquidity Provision in Automated Market Makers

Passive liquidity providers (LPs) in automated market makers (AMMs) face losses due to adverse selection (LVR), which static trading fees often fail to offset in practice. We study the key determinants of LP profitability in a dynamic reduced-form model where an AMM operates in parallel with a centr

Holy Grail Math 7 Rigor 8 ·  August 11, 2025

Portfolio Choice with Competing Precautionary and Accumulation Goals

We study optimal portfolio choice for a household managing two goals at once. A random-deadline precautionary goal, such as a medical emergency, must be paid in full whenever it arrives and is affordable; a fixed-deadline accumulation goal, such as a target retirement lifestyle, may be declined at i

Holy Grail Math 9 Rigor 6 ·  September 28, 2026

Risk-Based Auto-Deleveraging

Auto-deleveraging (ADL) mechanisms are a critical yet understudied component of risk management on cryptocurrency futures exchanges. When available margin and other loss-absorbing resources are insufficient to cover losses following large price moves, exchanges reduce positions and socialize losses

Lab Rats Math 7.5 Rigor 3 ·  March 16, 2026

A mathematical study of the excess growth rate

We study the excess growth rate – a fundamental logarithmic functional arising in portfolio theory – from the perspective of information theory. We show that the excess growth rate can be connected to the Rényi and cross entropies, the Helmholtz free energy, L. Campbell’s measure of average code len

Lab Rats Math 9 Rigor 1 ·  October 29, 2025

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