Miquel Ortega

About

I am currently a PhD student at Universitat Politècnica de Catalunya, under the supervision of Oriol Serra and Juanjo Rué. I am particularly interested in extremal, probabilistic and additive combinatorics.

Papers and preprints

• Counting subsets of integers free of arithmetic configurations, with Patrick Morris and Juanjo Rué.
  Preprint.
• Monochromatic products in random integer sets, with Roger Lidón, Darío Martínez and Patrick Morris.
  Preprint.
• A sparse canonical van der Waerden theorem, with José D. Alvarado, Yoshiharu Kohayakawa, Patrick Morris and Guilherme O. Mota.
  Proc. Amer. Math. Soc. 154 (2026), 4191–4204.
• On the number of monochromatic solutions to multiplicative equations, with Lucas Aragão, Jonathan Chapman and Victor Souza.
  Combinatorica 45 (2025), Paper No. 64.
• Product-free sets in the free group, with Juanjo Rué and Oriol Serra.
  Mathematika 70 (2024), no. 3, Paper No. e12255, 11 pp.
• Extremal Sidon sets are Fourier uniform, with applications to partition regularity, with Sean Prendiville.
  J. Théor. Nombres Bordeaux 35 (2023), no. 1, 115–134.