Papers

The Carry-Adder Wall

• The Amortization Envelope: Where a SHA-256d Mining Advantage Can and Cannot Live Part I · Peter Hollows · 2026
• Carry Depth: A Circuit-Independent Coordinate of ARX, and the One-Round Advantage Cliff Part II · Peter Hollows · 2026
• Neural Distinguishers Expire on Carry Composition Part III · Peter Hollows · 2026

Language Models

• Gauge dependence and structured-output corruption in sign-branched repetition penalties: measurements across models, inference stacks, and alternative repetition controls Peter Hollows · 2026 · arXiv:2607.09791
• Manufactured Rank Is Real but Unrealized: An Optimization Barrier in Nonlinear Low-Rank Adapters for Task Adaptation Peter Hollows · 2026 · Preprint

Reinforcement Learning

• Student Training for Distractible Teachers Peter Hollows · 2022 · Stanford XCS224U
• Multi-Agent Reinforcement Learning in Zombie-Survival Games Peter Hollows, Mark Presser · 2020 · Stanford University