Publications and Preprints
16. On amortization techniques for FRI-based SNARKs, with Hayk Hovhanissyan, Aram Jivanyan, Ignacio Manzur, Isaac Villalobos, and Michał Zając, eprint.
15. A Decentralized Private Data Marketplace using Blockchain and Secure Multi-Party Computation, with Julen Bernabé and Oscar Lage, ACM Transactions on Privacy and Security, 2024, link
14. COMMON: Order Book with Privacy, with Adam Gągol, Aikaterini-Panagiota Stouka, Damian Straszak, and Michal Zajac, 2023, eprint
13. On Soundness Notions for Interactive Oracle Proofs, with Alexander R. Block, Pratyush Ranjan Tiwari, and Michal Zajac, 2023, eprint.
12. Fiat-Shamir Security of FRI and Related SNARKs, with Alexander R. Block, Jonathan Katz, Justin Thaler, Pratyush Ranjan Tiwari, and Michal Zajac, Asiacrypt 2023, eprint.
11. Group equations with abelian predicates, with Laura Ciobanu, International Mathematics Research Notices (IMRN), 2023, arXiv, doi
10. Results of the Photometric LSST Astronomical Time-series Classification Challenge (PLAsTiCC), with Renee Hlozek et al., The Astrophysical Journal Supplement Series, Volume 267, Number 2, 2023, doi
9. Diophantine problems in rings and algebras: undecidability and reductions to rings of algebraic integers, with Alexei Miasnikov and Denis Ovchinnikov, https://arxiv.org/abs/1805.02573
8. Simple groups with infinite verbal width and the same positive theory as free groups, with Montserrat Casals-Ruiz, Ilya Kazachkov, and Javier de la Nuez, 12 pages, Israel Journal of Mathematics, 254, 39–56 (2023), arXiv, doi
7. On equations and first-order theory of one-relator monoids, with Robert D. Gray, Information & Computation, Volume 281, 104745, ISSN 0890-5401, 44 pages, doi, arXiv
6. Metabelian groups: full-rank presentations, randomness and Diophantine problems, with Leire Legarreta, Alexei Miasnikov, and Denis Ovchinnikov, Journal of Group Theory, vol. 24, no. 3, 2021, pp. 453-466., doi: https://doi.org/10.1515/jgth-2020-0091,
5. On the positive theory of groups acting on trees, with Montserrat Casals-Ruiz, and Javier de la Nuez, International Mathematics Research Notices (IMRN), Volume 2021, Issue 3, February 2021, Pages 1837–1918, doi: https://doi.org/10.1093/imrn/rnaa164
4. Full rank presentations and nilpotent groups: structure, Diophantine problem, and genericity, with Alexei Miasnikov and Denis Ovchinnikov, Journal of Algebra, Volume 556, 15 August 2020, Pages 1-34
3. Diophantine problems in solvable groups, with Alexei Miasnikov and Denis Ovchinnikov, Bulletin of Mathematical Sciences, online ready, 21 pages
2. Engel elements in some fractal groups, with Gustavo Fernández-Alcober and Marialaura Noce, Monatshefte für Mathematik, v. 189 (4) (2018), pp. 651-660
1. Random nilpotent groups, polycyclic presentations, and Diophantine problems, with Alexei Miasnikov and Denis Ovchinnikov, Groups Complexity Cryptology, v. 9 (2) (2017), pp. 99-115