Papers

1. Resolving the joint ergodicity problem for Hardy sequences, with S. Donoso, A. Koutsogiannis, W. Sun and K. Tsinas, arXiv:2506.20459, arxiv.

2. Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences, with S. Donoso, A. Koutsogiannis, W. Sun and K. Tsinas, arXiv:2410.15130, arxiv.

3. Corners with polynomial side length, with N. Kravitz and J. Leng, arXiv:2407.08637, arxiv, slides, Noah's video.

4. Quantitative concatenation for polynomial box norms, with N. Kravitz and J. Leng,  arXiv:2407.08636, arxiv, slides.

5. Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control, Adv. Math., 448:109700, 2024, journal, arxiv.

6. Degree lowering for ergodic averages along arithmetic progressions, with N. Frantzikinakis,  J. Anal. Math., 2024, journal, arxiv, slides, video.

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

8. Joint ergodicity for commuting transformations and applications to polynomial sequences, with N. Frantzikinakis, Invent. Math., 239, 621–706 (2025), journal, arxiv. slides, video, Nikos' video .

9. On a continuous Sárközy type problem, with T. Orponen and T. Sahlsten, Inter. Math. Res. Not. IMRN, 2022;, rnac168, journal, arxiv, slides.

10. Multidimensional polynomial Szemerédi theorem in finite fields for polynomials of distinct degrees, Israel J. Math. 259 (2024), 589-620, journal, arxiv.

11. On several notions of complexity of polynomial progressions, Ergodic Theory Dynam. Systems, 2023;43(4):1269-1323, journal, arxiv, slides (easy version), slides (advanced version), video.

12. True complexity of polynomial progressions in finite fields, Proc. Edinb. Math. Soc., 64.3 (2021), 448-500, journal, arxiv. 

13. Further bounds in the polynomial Szemerédi theorem in finite fields,  Acta Arith. 198 (2021), 77-108, journal, arxiv.

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

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

16. Structures in additive sequences, Acta Arith. 186.3 (2018), 273-300, journal, arxiv.

There may be minor differences between the journal and arXiv versions of my articles. 

General talks:

• The Szemerédi theorem and beyond, slides.

• Recent developments in the polynomial Szemerédi theorem, slides.

• Analytic methods in the polynomial Szemerédi theorem, slides.

• A short introduction to additive combinatorics, slides, video.

• Many mysteries of the Ulam sequences, slides.