Florian Luca is a researcher affiliated with the Max Planck Institute for Mathematics, where he has made significant contributions to various areas of mathematics, particularly in number theory and sequences. His work often involves exploring properties and conjectures related to Fibonacci and Lucas sequences.

Florian Luca has greatly contributed to GANDA by co-organizing several Conferences like an Analytic Number Theory week with Fabien Pazuki, celebrating the 100th anniversary of the University of Witwatersrand and the 150th of the Société Mathématique de France. He also conducted several research stays in Bordeaux with Yuri Bilu’s team, fostering international collaboration in Analytic Number Theory.

The Skolem Problem is a mathematical question that asks whether a given integer linear recurrence sequence (LRS) has a term that is equal to zero. The problem has been open with little progress since the 1980s. A recent new approach was initiated via the notion of a Skolem set - a set of positive integers relative to which the Skolem Problem is decidable.

As part of a program to enhance the international competitiveness of Hungarian research, fourteen foreign researchers, including Florian Luca, joined Hungarian research efforts in 2024 with funding from the Hungarian Academy of Sciences (HAS). Florian Luca collaborated with the Number Theory Research Group, led by Professor Emeritus Kálmán Győry.