Ergodic averages for sparse corners, with N. Frantzikinakis, arXiv:2510.27627, arxiv.
Resolving the joint ergodicity problem for Hardy sequences, with S. Donoso, A. Koutsogiannis, W. Sun and K. Tsinas, arXiv:2506.20459, arxiv.
Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences, with S. Donoso, A. Koutsogiannis, W. Sun and K. Tsinas, arXiv:2410.15130, arxiv.
Corners with polynomial side length, with N. Kravitz and J. Leng, arXiv:2407.08637, arxiv, slides, Noah's video.
Quantitative concatenation for polynomial box norms, with N. Kravitz and J. Leng, Adv. Math., 489:110820, 2026, journal, arxiv, slides.
Multidimensional polynomial patterns over finite fields: bounds, counting estimates and Gowers norm control, Adv. Math., 448:109700, 2024, journal, arxiv.
Degree lowering for ergodic averages along arithmetic progressions, with N. Frantzikinakis, J. Anal. Math., 2024(154), 199-253, journal, arxiv, slides, video.
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.
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 .
On a continuous Sárközy type problem, with T. Orponen and T. Sahlsten, Inter. Math. Res. Not. IMRN, 2023(07): 11291–11315, journal, arxiv, slides.
Multidimensional polynomial Szemerédi theorem in finite fields for polynomials of distinct degrees, Israel J. Math. 259 (2024), 589-620, journal, arxiv.
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.
True complexity of polynomial progressions in finite fields, Proc. Edinb. Math. Soc., 64.3 (2021), 448-500, journal, arxiv.
Further bounds in the polynomial Szemerédi theorem in finite fields, Acta Arith. 198 (2021), 77-108, journal, arxiv.
The unreasonable rigidity of Ulam sets, with J. Hinman, A. Schlesinger, and A. Sheydvasser, J. Number Theory 194 (2019), 409-425, journal, slides.
Rigidity of Ulam sets and sequences, with J. Hinman, A. Schlesinger, and A. Sheydvasser, Involve 12-3 (2019), 521-539, journal, slides.
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.
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