Péter Pál Pach is the head of the MTA-BME Lendület Arithmetic Combinatorics Research Group, and a Senior Research Fellow at the Department of Computer Science and Information Theory (BME VIK). He received his PhD in 2013 from Eötvös Loránd University. Since then, he has been working at BME. In 2017–2018, he was a research fellow at the University of Warwick. His research areas lie on the boundary of combinatorics and number theory; he investigates combinatorial questions in which some arithmetic structure plays a role. His most notable result is developing a new variant of the polynomial method which led to the solution of the ”cap set problem” and the Erdős–Szemerédi sunflower conjecture. In 2015, he was awarded the Grünwald Géza medal, in 2016, he received the Erdős Young Researcher Scholarship. For his research in the framework of Bolyai Scholarship (2015–2019), he received the Bolyai plaquette in 2020 from the Hungarian Academy of Sciences. In 2021, he was awarded the European Prize in Combinatorics. He is married with three children: Benjamin (2013), Lili (2015) and Domonkos (2016).