Topological Matter School (TMS2026)

The 2026 edition of the Topological Matter School marks a double celebration: ten years since the Nobel Prize in Physics recognizing the impact of topology, and the tenth anniversary of the school itself. Founded in 2016, the school has become one of the leading international forums dedicated to teaching and advancing topology in condensed matter physics.

This special anniversary edition will reflect on a decade of remarkable progress, with a program of pedagogical lectures reviewing how the field has evolved and where it is heading. We are deeply honored that Prof. Duncan Haldane, Nobel Laureate in Physics 2016, will deliver the opening lecture.

Topics to be covered:

• Review of topological classifications and invariants developed over the past decade
• Advances in effective models for topological insulators, semimetals, and superconductors
• New paradigms in correlated and magnetic topological phases
• Progress in first-principles approaches to topological materials discovery
• Integration of high-throughput screening, symmetry analysis, and data-driven methods
• Development of real-space and Green’s-function diagnostics bridging theory and computation
• Key milestones in ARPES, STM/STS, transport, and spectroscopy confirming topological phenomena
• Discovery of novel quantum materials and emergent quasiparticles
• Synergy between theoretical predictions and experimental realizations

ORGANIZING COMMITTEE:

• Maia G. Vergniory (DIPC, Université de Sherbrooke, Canada)
• Reyes Calvo (BC Materials)
• Santiago Blanco-Canosa (DIPC, Ikerbasque)
• Adolfo Grushin (DIPC, Ikerbasque)
• Alexander Altland (University of Cologne)
• Julen Ibañez Azpiroz (CFM, Ikerbasque)