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Research

I'm a member of the UChicago CS Theory Group. I study computational complexity theory. My research papers are listed below. If you have a question or comment about my work, please send me an email!


I am experimenting with sharing raw AI-generated proofs, in addition to traditional research papers. See this page.


AI-era papers (i.e., these papers describe AI-assisted research)

  1. Multi-Access Randomness Saves Space, Even for Halting Algorithms

    William M. Hoza

    Manuscript 2026

  2. The BRRY Analysis of the INW Pseudorandom Generator is Optimal

    William M. Hoza and Yakov Shalunov

    Manuscript 2026

  3. Deterministic, Oblivious Isolation for Space-Bounded Computation Requires Large Weights

    William M. Hoza

    Manuscript 2026


Pre-AI papers (i.e., these papers describe research done without significant AI assistance)

  1. On Sums of INW Pseudorandom Generators

    William M. Hoza and Zelin Lv

    RANDOM 2025

  2. Fooling Near-Maximal Decision Trees

    William M. Hoza and Zelin Lv

    RANDOM 2025

  3. Provable Tempered Overfitting of Minimal Nets and Typical Nets

    Itamar Harel, William M. Hoza, Gal Vardi, Itay Evron, Nathan Srebro, and Daniel Soudry [non-alphabetical]

    NeurIPS 2024

  4. Implications of Better PRGs for Permutation Branching Programs

    Dean Doron and William M. Hoza

    RANDOM 2025

  5. Limitations of the Impagliazzo-Nisan-Wigderson Pseudorandom Generator Against Permutation Branching Programs

    William M. Hoza, Edward Pyne, and Salil Vadhan

    Algorithmica 2024

  6. A Technique for Hardness Amplification Against $\mathsf{AC}^0$

    William M. Hoza

    CCC 2024 • computational complexity 2026 (special issue for CCC 2024)

  7. Weighted Pseudorandom Generators via Inverse Analysis of Random Walks and Shortcutting

    Lijie Chen, William M. Hoza, Xin Lyu, Avishay Tal, and Hongxun Wu

    FOCS 2023

  8. Paradigms for Unconditional Pseudorandom Generators (survey)

    Pooya Hatami and William M. Hoza

    FnT TCS 2024

  9. Recent Progress on Derandomizing Space-Bounded Computation (survey)

    William M. Hoza

    BEATCS 2022

  10. Depth-$d$ Threshold Circuits vs. Depth-$(d + 1)$ AND-OR Trees

    Pooya Hatami, William M. Hoza, Avishay Tal, and Roei Tell

    STOC 2023

  11. Hitting Sets for Regular Branching Programs

    Andrej Bogdanov, William M. Hoza, Gautam Prakriya, and Edward Pyne

    CCC 2022

  12. Better Pseudodistributions and Derandomization for Space-Bounded Computation

    William M. Hoza

    RANDOM 2021 • ToC (special issue for RANDOM 2021, to appear)

  13. Fooling Constant-Depth Threshold Circuits

    Pooya Hatami, William M. Hoza, Avishay Tal, and Roei Tell

    FOCS 2021

  14. Pseudorandom Generators for Unbounded-Width Permutation Branching Programs

    William M. Hoza, Edward Pyne, and Salil Vadhan

    ITCS 2021

  15. Hitting Sets Give Two-Sided Derandomization of Small Space

    Kuan Cheng and William M. Hoza

    CCC 2020 • ToC 2022 (special issue for CCC 2020)

  16. Log-Seed Pseudorandom Generators via Iterated Restrictions

    Dean Doron, Pooya Hatami, and William M. Hoza

    CCC 2020

  17. Near-Optimal Pseudorandom Generators for Constant-Depth Read-Once Formulas

    Dean Doron, Pooya Hatami, and William M. Hoza

    CCC 2019

  18. Simple Optimal Hitting Sets for Small-Success RL

    William M. Hoza and David Zuckerman

    FOCS 2018 • SICOMP 2020

  19. Typically-Correct Derandomization for Small Time and Space

    William M. Hoza

    CCC 2019

  20. Quantum Communication-Query Tradeoffs

    William M. Hoza

    Manuscript 2017

  21. Universal Bell Correlations Do Not Exist

    Cole A. Graham and William M. Hoza

    PRL 2017

  22. Preserving Randomness for Adaptive Algorithms

    William M. Hoza and Adam R. Klivans

    RANDOM 2018

  23. Targeted Pseudorandom Generators, Simulation Advice Generators, and Derandomizing Logspace

    William M. Hoza and Chris Umans

    STOC 2017 • SICOMP 2022 (special section for STOC 2017)

  24. The Adversarial Noise Threshold for Distributed Protocols

    William M. Hoza and Leonard Schulman

    SODA 2016


My PhD dissertation

  1. Derandomizing Space-Bounded Computation via Pseudorandom Generators and their Generalizations

    William M. Hoza

    2021