Author

Li-Hong Zhi

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Preprint Oct 2026

An Explicit Polynomial Counterexample to Connes'Embedding Conjecture

We construct an explicit Hermitian polynomial $ f $ with integer coefficients, of degree $ 12 $ in $ 65 $ selfadjoint variables, whose normalized trace is at least $3/4$ on every tuple of selfadjoint matrix contractions, in every dimension, and equals $-1$ at a specified tuple of selfadjoint unitaries in a group von Ne...

Jia-Qi Wang, Li-Hong Zhi · 0 citations

Preprint Aug 2026

MechGeo: Autoformalizing and Proving Euclidean Geometry in Lean 4

We present MechGeo, a Mathlib native agentic framework that jointly addresses faithful autoformalization and certified proof construction for Euclidean geometry. In this framework, GeoFormalizer represents informal problems in GeoIR, deterministically translates them into Lean 4, and iteratively repairs candidate state...

Hao Shen, Jun Guo, Tian Cui et al. · 0 citations