Papers:
New Records for the Hadamard Maximal Determinant Problem in Dimensions 51, 107, and 115, with Giorgi Butbaia, Pragatheeswaran Vipulanandan, Justin Tan, Toby Saunders-A'Court, Lucas Fagan, Davide Passaro, Michele Tarquini, Sergei Gukov, 2026. [arXiv][verification code]
The Mathieu group M23 is a Galois group over ℚ, with Blake Jackson, Kyu-Hwan Lee, Bjorn Poonen, Rachel Pries, Shaowu Zhang, 2026. [arXiv][verification code]
Decision Trees, Frobenius Traces, and Weierstrass Coefficients of Elliptic Curves, with Barinder S. Banwait, Kyu-Hwan Lee, Seewoo Lee, Thomas Oliver, Alexey Pozdnyakov, 2026. [arXiv][code]
Emergent Latent-State Computation under Stochastic Volatility, with Lulu Wang, 2026. Accepted at the Mechanistic Interpretability Workshop at the 43rd International Conference on Machine Learning (Mechanistic Interpretability Workshop ICML 2026). [arXiv][code]
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra, with Giorgi Butbaia, Paul Orland, Davide Passaro, Lucas Fagan, Michele Tarquini, Hailong Dao, David Eisenbud, Ali Shehper, Sergei Gukov, 2026. Accepted at the 43rd International Conference on Machine Learning (ICML 2026). [arXiv][code]
The Two-Hump Problem: Bridging the Difficulty Gap in Mathematical Reinforcement Learning, with Lucas Fagan, Michele Tarquini, Ali Shehper, Maksymilian Manko, Angus Gruen, Giorgi Butbaia, Davide Passaro, Sergei Gukov, 2026. Accepted at the 43rd International Conference on Machine Learning (ICML 2026). [arXiv][code]
Discovering a Zeta Map Algorithm on Dyck Paths via Mechanistic Interpretability, with Blake Jackson, Kyu-Hwan Lee, 2026. [arXiv][code]
On the Identification of Elliptic Curves That Admit Infinitely Many Twists Satisfying the Birch-Swinnerton-Dyer Conjecture, with Barinder S. Banwait, 2026. Accepted at the Seventeenth Algorithmic Number Theory Symposium (ANTS XVII). [arXiv][code]
From Black Box to Bijection: Interpreting Machine Learning to Build a Zeta Map Algorithm, with Blake Jackson, Kyu-Hwan Lee, 2025. Extended abstract. Accepted as a talk presentation at the 38th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC). [arXiv][code]
Learning Euler Factors of Elliptic Curves, with Angelica Babei, François Charton, Edgar Costa, Kyu-Hwan Lee, David Lowry-Duda, Ashvni Narayanan, Alexey Pozdnyakov, 2025. To appear in Advances in Theoretical and Mathematical Physics. [arXiv][code]
Machine Learning Approaches to the Shafarevich-Tate Group of Elliptic Curves, with Angelica Babei, Barinder S. Banwait, AJ Fong, Deependra Singh, 2024. To appear in Advances in Theoretical and Mathematical Physics. [arXiv][code]
On the Universal Deformation Ring of A Residual Galois Representation with Three Jordan Holder Factors and Modularity, 2023. To appear in Kyoto Journal of Mathematics. [arXiv]