Publications

(★: selected publications)

Submitted:

13) ★★ Full measure universality for Cantor sets (with Pablo Shmerkin). 22 pages. http://arxiv.org/abs/2503.21079

12) ★ Numbers omitting digits in certain base expansions (with Han Yu). 19 pages. https://arxiv.org/abs/2503.09528

Published:

11) On the volumes of simplices determined by a subset of  (with Pablo Shmerkin). Annales Fennici Mathematici, 50(1), 97–108. 2025. 12 pages. https://arxiv.org/abs/2310.17855

10) ★★ Thickness and a gap lemma in . International Mathematics Research Notices (IMRN). 2023, no. 19, 16453–16477. 19 pages. http://arxiv.org/abs/2204.08428

9) A survey on Newhouse thickness, fractal intersections and patterns. Math. Comput. Appl. 2022, 27(6), 111. Proceedings of the conference honouring Karoly Simon’s 60th birthday. 22 pages. https://arxiv.org/abs/2212.02023

8) ★ Intersections of thick compact sets in  (with Kenneth Falconer). Mathematische Zeitschrift.  301 (2022), no. 3, 2291–2315. 27 pages. https://arxiv.org/abs/2102.01186

7) ★ The density of sets containing large similar copies of finite sets (with Kenneth Falconer and Vjekoslav Kovač). Journal d’Analyse Mathématique 148 (2022), no. 1, 339–359. 19 pages. https://arxiv.org/abs/2007.03493

6) ★ An improved bound for the dimension of -Furstenberg sets (with Kornélia Héra and Pablo Shmerkin). Revista Matemática Iberoamericana.  38 (2022), no. 1, 295–322. 29 pages https://arxiv.org/abs/2001.11304

5) Improved bounds on the dimensions of sets that avoid approximate arithmetic progressions (with Jonathan Fraser and Pablo Shmerkin). Journal of Fourier Analysis and Applications. 27 (2021), no. 1, Paper No. 4, 14 pp. 14 pages. https://arxiv.org/abs/1910.10074

4) ★ Patterns in thick compact sets. Israel Journal of Mathematics.  244 (2021), no. 1, 95–126. 23 pages. https://arxiv.org/abs/1910.10057

3) Large sets avoiding linear patterns. Proceedings of the American Mathematical Society. 149 (2021), no. 10, 4057–4066. 10 pages. https://arxiv.org/abs/1706.08118

2) Small Sets containing any Pattern (with Ursula Molter). Math. Proc. Cambridge Philos. Soc. 168 (2020), no. 1, 57–73. 17 pages. https://arxiv.org/abs/1610.03804

1) ★  dimensions and projections of random measures (with Daniel Galicer, Santiago Saglietti and Pablo Shmerkin). Nonlinearity 29 (2016), no. 9, 2609–2640. 32 pages. https://arxiv.org/abs/1504.04893