Zachary Burton

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Zachary Burton

I am a machine learning engineer at Meta working on Facebook Reels ranking. I graduated from MIT with an SB in Mathematics.

My research interests span reinforcement learning, formal reasoning, and AI-guided proof. I've built training environments for RLHF (PIEFACE), studied where RL breaks on symbolic tasks (blog), and explored structured prompting for neural theorem provers (arXiv).

I was born in NYC and raised in the UK. Outside of work, I play goalkeeper in a Sunday football league. Feel free to reach out if you want to chat!

Structured Hints for Sample-Efficient Lean Theorem Proving
Preprint, 2026
arXiv

Testing whether neural theorem provers benefit from lightweight structural guidance. Achieves 43% relative improvement on miniF2F with a simple prompt schedule.

RL Failure When Does Tabular RL Actually Break?
Blog Post, 2025
post

A systematic study of representation bottlenecks in symbolic algebra, testing where RL breaks on high school math.

Collision Collision Thresholds on Lattices
Preprint
arXiv

An expository derivation using Poissonization and Laplace asymptotics to analyze random walks on lattices.

PIEFACE PIEFACE
website

A full-stack platform for crowdsourcing human feedback on mathematical reasoning traces, with a Flask backend, SQL storage, trace parser, and distributed PPO training loop.

zOS demo zOS
github

Local LLM self-training loop with step-by-step feedback, written with Rust & Tauri.

Formal Complexity Science
github

Autoformalization of classical NP-completeness reductions in Lean 4, built on Mathlib and CSLib. Formalizes Karp reductions (SAT ≤ 3SAT ≤ 3-COLORING, with more planned) as machine-checked proofs.

LLM Political Persuasion?
paper

17.279 (Political Misinformation in the Age of Social Media) Final Paper - independent empirical study (n=174, randomized) on AI disclosure effects on belief formation in political conspiracy-framing content.

Scribe Scribe AI
devpost

Autocomplete for math handwriting.

Tonbridge Talk Being Black at Tonbridge
video

A reflection on my experience navigating race at a UK boarding school.

N-Word Talk Why White People Shouldn't Say the N-Word
video

A talk on language, power, and context.

Gauss Law Magnetic Gauss Law
video

A physics microlecture on electromagnetism.

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