Research

AI

Propensity Inference: Environmental Contributors to LLM Behaviour, Olli Järviniemi, Oliver Makins, Jacob Merizian, Robert Kirk, Ben Millwood, arXiv
Subversion via Focal Points: Investigating Collusion in LLM Monitoring, arXiv
FrontierMath: A Benchmark for Evaluating Advanced Mathematical Reasoning in AI, with numerous co-authors. 2024. arXiv
Uncovering Deceptive Tendencies in Language Models: A Simulated Company AI Assistant, with Evan Hubinger, 2024. arXiv

Higher-degree Artin conjecture. The Quarterly Journal of Mathematics, 2024. Publisher
Composite values of shifted exponentials, with Joni Teräväinen. Adv. Math., 2023. arXiv, publisher
Positive lower density for prime divisors of generic linear recurrences. Math. Proc. Cambridge Philos. Soc., 2023. arXiv, publisher
Unified treatment of Artin-type problems, with Antonella Perucca. Res. in Number Theory, 9, 10, 2023. arXiv, publisher
Gaussian almost primes in almost all narrow sectors, with Joni Teräväinen, 2023. arXiv
Solvability of a system of polynomial equations modulo primes. Bull. Aust. Math. Soc., 106 404-407, 2022. Publisher
On large differences between consecutive primes (2022). arXiv
Unified treatment of Artin-type problems II, with Antonella Perucca and Pietro Sgobba, 2022. arXiv
Simultaneous insolvability of exponential congruences. J. Number Theory 239, 335-351, 2022. arXiv, publisher
Equality of orders of a set of integers modulo a prime. Proc. Amer. Math. Soc. 149, 3651-3668, 2021. arXiv, publisher