Papers, ranked by score

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

Dynamics of Liquidity Surfaces in Uniswap v3

This paper presents a comprehensive study on the empirical dynamics of Uniswap v3 liquidity, which we model as a time-tick surface, $L_t(x)$. Using a combination of functional principal component analysis (FPCA) and dynamic factor methods, we analyze three distinct pools over multiple sample periods

Holy Grail Math 8.5 Rigor 7 ·  September 5, 2025

Pricing and hedging for liquidity provision in Constant Function Market Making

This paper develops a robust mathematical framework for Constant Function Market Makers (CFMMs) by transitioning from traditional token reserve analyses to a coordinate system defined by price and intrinsic liquidity. We establish a canonical parametrization of the bonding curve that ensures dimensi

Holy Grail Math 8 Rigor 6 ·  March 2, 2026

An arbitrage driven price dynamics of Automated Market Makers in the presence of fees

We present a model for price dynamics in the Automated Market Makers (AMM) setting. Within this framework, we propose a reference market price following a geometric Brownian motion. The AMM price is constrained by upper and lower bounds, determined by constant multiplications of the reference price.

Lab Rats Math 8.5 Rigor 2.5 ·  January 3, 2024

Browse

All authors · Research topics · Papers with code · Download the scored dataset

📬 The Quant Space Weekly

One email a week: the most interesting quant finance papers, scored and summarized. No spam, unsubscribe anytime.