Publications

Algebraic Geometry

• Diamond, B. E. (2026). Hodge structures in sextic fourfolds equipped with an involution. preprint. (Submitted.)
• Diamond, B. E. (2025). On the integral cohomology of Fano varieties of linear subspaces. preprint. (Accepted, modulo minor revision, to Mathematische Annalen.)
• Diamond, B. E. (2018). Smooth surfaces in smooth fourfolds with vanishing first Chern class. Journal of Pure and Applied Algebra, 225(5), 1164–1188. article, preprint.

Cryptography & Discrete Math

• Diamond, B. E. & Gruen, A. (2026). On the distribution of the distances of random words. In: Heninger, N. and Rosulek, M. (eds) Advances in Cryptology – CRYPTO 2026. conference version, full version.
• Diamond, B. E. & Posen, J. (2026). Polylogarithmic proofs for multilinears over binary towers. In: Daemen, J., Thomé, E. (eds) Advances in Cryptology – EUROCRYPT 2026. conference version, full version.
• Diamond, B. E. & Posen, J. (2025). Succinct arguments over towers of binary fields. In: Fehr, S., Fouque, PA. (eds) Advances in Cryptology – EUROCRYPT 2025. conference version, full version.
• Diamond, B. E. & Gruen, A. (2025). Proximity gaps in interleaved codes. Communications in Cryptology, 1(4). open access, full version.
• Diamond, B. E. & Posen, J. (2024). Proximity testing with logarithmic randomness. Communications in Cryptology, 1(1). open access, full version.
• Diamond, B. E. & Yehudayoff, A. (2022). Explicit exponential lower bounds for exact hyperplane covers. Discrete Mathematics, 345(11), 113114. article, preprint.
• Diamond, B. E. (2021). Many-out-of-many proofs and applications to Anonymous Zether. IEEE Symposium on Security and Privacy, 1800–1817. article, preprint.

Misc.

• Diamond, J. M., Diamond, B. E., Trotta, M. S., Dembny, K., Inati, S K., & Zaghloul, K. A. (2021). Travelling waves reveal a dynamic seizure source in human focal epilepsy. Brain: a journal of neurology, 144(6), 1751–1765. open access.

Talks

• Proofs and Codes Day (Cornell Tech). On the distribution of the distances of random words (Dec. 2025).
• ZK Study Club. Reed–Solomon proximity gaps & disproving existing conjectures (Dec. 2025).
• ZK Study Club. Polylogarithmic proofs for multilinears over binary towers (Jun. 2024).
• ZK Study Club. Succinct arguments over towers of binary fields (Jan. 2024).
• RISC Zero Study Club. Proximity gaps and applications to succinct proofs (Oct. 2023).
• Columbia University Cryptography Seminar. Many-out-of-many proofs: A new zero-knowledge proof protocol (Nov. 2019).