Crypto Gloss

Michael Egorov

Michael Egorov is one of the most technically rigorous founders in DeFi. A physicist who worked in computational chemistry and security research before crypto, Egorov approached DeFi’s problems as mathematical optimization puzzles. His most influential contribution is the StableSwap invariant — a custom AMM curve that blends the flat pricing of a constant-sum market maker with the capital efficiency of a constant-product market maker, specifically to enable efficient swaps between pegged assets (USDC, USDT, DAI) with minimal slippage. Without StableSwap, large stablecoin swaps would incur significant price impact. With it, you can swap $500M of USDC for USDT with near-zero slippage. This math made Curve the foundational liquidity layer for stablecoins in DeFi — and the “Curve Wars” that emerged around CRV voting power dominated DeFi narratives for over a year.

Background

Mikhail (Michael) Egorov grew up in Russia and studied physics, earning a PhD in theoretical physics. Before founding Curve, he worked at NuCypher (a cryptography company focused on proxy re-encryption for data privacy) — an unconventional path that brought together cryptography, distributed systems, and his mathematical background.

Key background facts:

  • Russian-born, later based in Australia
  • PhD in physics
  • Co-founder of NuCypher (2015-2018) before Curve
  • Deep mathematical background that distinguishes his protocol work

The StableSwap Invariant

The foundational Curve mathematical innovation:

The Problem

  • Swapping large amounts causes significant price slippage
  • The math treats USDC and USDT as if they could diverge to any price
  • For assets that should always be ~$1, this is capital-inefficient

Example: Uniswap USDC/USDT with $10M liquidity

  • Swap $1M: ~10% price impact (terrible)
  • Market price diverges from $1 with any significant trade

Egorov’s Solution

  • Constant-sum (x + y = invariant): Perfect for pegged assets — zero slippage if they stay pegged — but runs out of one asset quickly
  • Constant-product (x * y = k): Good for diverging assets — infinite range — but terrible slippage for pegged assets

StableSwap formula:

$$A cdot n^n sum x_i + D = A cdot D cdot n^n + D^{n+1} / left(n^n cdot prod x_iright)$$

Where A is the “amplification coefficient” — controlling how much the curve hugs constant-sum behavior near the peg vs. how quickly it transitions to constant-product behavior away from the peg.

Result: Near the peg ($0.99-$1.01), pricing is almost perfectly flat (near-zero slippage). Far from the peg, prices move to prevent infinite arbitrage. The amplification coefficient A is tunable based on how tightly an asset maintains its peg.

Practical Impact

  • Same trade on Uniswap v2: ~5% slippage
  • Curve became the default routing destination for all large stablecoin swaps in DeFi

Curve Finance Protocol

The following sections cover this in detail.

Stablecoin Pools

  • 3pool (Tripool): USDC, USDT, DAI — became the most liquid DeFi pool
  • FRAX pools, LUSD pools, USDE pools — every new stablecoin launches a Curve pool for legitimacy

Liquidity providers in Curve pools receive:

  • Trading fees (0.04% per swap)
  • CRV token emissions
  • On top assets for Convex or other CRV boosters

Tricrypto (2021)

  • Three non-pegged assets (BTC/ETH/USDT for example)
  • Custom invariant with dynamic peg (the “peg” moves with market) plus StableSwap-style low slippage near internal price
  • Competed directly with Uniswap v3 for concentrated liquidity efficiency

crvUSD Stablecoin (2023)

  • LLAMMA (Lending-Liquidating AMM Algorithm): Instead of hard liquidations (sell entire position at threshold), LLAMMA continuously liquidates gradually as price falls and re-buys as price recovers
  • “Soft liquidation” — reduces risk from sudden market crashes causing bad debt
  • Novel risk management design that reduces dangerous liquidation cascades

The CRV Token and Curve Wars

The following sections cover this in detail.

CRV Token

  • Earned by liquidity providers (LPs) as emissions
  • Holders can lock CRV for up to 4 years → receive veCRV (vote-escrowed CRV)

veCRV and Gauge Weights

Why gauge weights matter:

  • Projects want deep liquidity for their stablecoin on Curve
  • To get deep liquidity, they need high CRV emissions to their pool
  • To get high emissions, they need gauge weight votes
  • To get votes, they need veCRV

The Curve Wars: Projects competed to accumulate veCRV (or bribe veCRV holders) to control gauge weights:

  • Convex Finance ($CVX) became the dominant veCRV aggregator
  • Frax, Abracadabra, Terra all competed intensely for Curve gauge votes
  • Billions of dollars of direct bribes paid to veCRV holders for favorable gauge weights
  • “Bribbery” protocols (Votium, Hidden Hand) emerged to facilitate veCRV bribe markets

Personal Controversies

June 2023 Credit Crisis:

Egorov took out collateralized loans against his personal CRV holdings across multiple DeFi protocols (Aave, Fraxlend, Abracadabra, etc.), accumulating ~$100M in loans against his ~$200M CRV position.

When Curve itself suffered a critical re-entrancy vulnerability exploit (Vyper compiler bug, ~$73M stolen), CRV price crashed, bringing Egorov’s collateral near liquidation levels. A massive liquidation of his >$100M CRV position would have tanked the CRV market and potentially caused insolvency across multiple platforms.

Egorov resolved this by negotiating OTC CRV sales to a group of DeFi investors (Justin Sun, others) at below-market prices — avoiding forced liquidation but raising questions about why he had such concentrated leveraged exposure in the first place.

Social Media Sentiment

Egorov is respected for his technical depth — widely considered the most mathematically sophisticated DeFi founder — and the importance of Curve’s infrastructure. But the June 2023 personal CRV leverage incident significantly damaged his reputation. Critics argued that the founder with the most control over a critical DeFi primitive was using that position to take leveraged bets using his own token as collateral — a clear conflict of interest. Supporters noted he ultimately resolved it without losses to protocol users. His communication style is technically dense and sometimes difficult to parse for non-specialists. The Curve Finance protocol itself remains critical DeFi infrastructure regardless of personal controversies — the 3pool still facilitates most large stablecoin trades in DeFi.

Last updated: 2026-04

Related Terms

Sources

Egorov, M. (2019). StableSwap — Efficient Mechanism for Stablecoin Liquidity. Curve Finance Whitepaper.

Evans, A. (2021). Liquidity Provider Returns in Geometric Mean Market Makers. Stanford DeFi Working Paper.

Black, F., & Scholes, M. (1973). The Pricing of Options and Corporate Liabilities. Journal of Political Economy, 81(3), 637–654.

Xu, J., Paruch, K., Cousaert, S., & Feng, Y. (2022). SoK: Decentralized Exchanges (DEX) with Automated Market Maker (AMM) Protocols. ACM Computing Surveys.

Werner, S. M., et al. (2022). SoK: Decentralized Finance (DeFi). arXiv.