Martín Sombra earned an undergraduate degree in Mathematics from the University of La Plata and completed his PhD at the University of Buenos Aires in 1998. He held postdoctoral positions at the Mathematical Sciences Research Institute (MSRI) in Berkeley, the Institute for Advanced Study (IAS) in Princeton, and the Institut de Mathématiques de Jussieu (IMJ) in Paris. He then served as a Maître de Conférences at the University of Lyon 1, as a Ramón y Cajal Researcher at the University of Barcelona (UB), and as Full Professor at the University of Bordeaux 1. He returned to Barcelona in 2009 to join ICREA as a Research Professor at UB.

He has also held visiting positions at the Institute for Pure and Applied Mathematics (IPAM) in Los Angeles, the MSRI in Berkeley, and the University of Buenos Aires. He currently serves on the Board of Directors of the FoCM Society and on the Advisory Board of the MEGA conferences.

My current research focuses on Arakelov geometry, a field at the interface of algebraic geometry and number theory. Arakelov theory endows arithmetic varieties with analytic structure, providing powerful geometric insights for arithmetic problems. My work investigates the spatial distribution of special points on such varieties, with applications to Diophantine equations and the arithmetic aspects of dynamical systems.