Papers

1. Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control, arXiv:2304.10793, to appear in Advances in Mathematics.

2. Degree lowering for ergodic averages along arithmetic progressions, with N. Frantzikinakis, arXiv:2212.09819, to appear in Journal d'Analyse Mathématique.

3. Seminorm control for ergodic averages with commuting transformations and pairwise dependent polynomial iterates, with N. Frantzikinakis, Ergodic Theory and Dynamical Systems, 2023;43(12):4074-4137. 

4. Joint ergodicity for commuting transformations and applications to polynomial sequences, with N. Frantzikinakis, arXiv:2207.12288.

5. On a continuous Sárközy type problem, with T. Orponen and T. Sahlsten, International Mathematics Research Notices, 2022;, rnac168. 

6. Multidimensional polynomial Szemerédi theorem in finite fields for polynomials of distinct degrees, Israel Journal of Mathematics 259 (2024), 589-620.

7. On several notions of complexity of polynomial progressions, Ergodic Theory and Dynamical Systems, 2023;43(4):1269-1323. 

8. True complexity of polynomial progressions in finite fields, Proceedings of the Edinburgh Mathematical Society, 64.3 (2021), 448-500. 

9. Further bounds in the polynomial Szemerédi theorem in finite fields,  Acta Arithmetica 198 (2021), 77-108.

10. The unreasonable rigidity of Ulam sets, with J. Hinman, A. Schlesinger, and A. Sheydvasser, Journal of Number Theory 194 (2019), 409-425.

11. Rigidity of Ulam sets and sequences, with J. Hinman, A. Schlesinger, and A. Sheydvasser, Involve 12-3 (2019), 521-539.

12. Structures in additive sequences, Acta Arithmetica 186.3 (2018), 273-300.

Most of my papers can also be found on arXiv, although the arXiv versions may differ from the published ones.