Tiago Cruz

Tiago Cruz is a Researcher (Postdoctoral Assistant) at the Institute of Algebra and Number Theory, Department of Mathematics, University of Stuttgart. His primary affiliation is within Faculty 08, focusing on algebraic structures and representation theory. He holds a PhD from the University of Stuttgart (2021) and a Master's in Pure Mathematics from the University of Coimbra (2017), both specializing in representation theory and algebraic structures.

• Research Interests: Quasi-hereditary algebras, Schur-Weyl duality, homological invariants, dominant dimension, and category theory.
• Teaching: Courses include Linear Algebra and Analytic Geometry, and Mathematics for Computer Science students at the University of Stuttgart.
• Funding: His PhD was supported by Studienstiftung des deutschen Volkes (2018–2021).

Cruz actively participates in conferences and workshops, including ARTIG 5 (2025), Large Modules and Endofiniteness (2025), and Panorama of Mathematics II (2023). He is also a zbMATH reviewer and organizes working groups on topics like Gorenstein homological algebra and derived equivalences.

His research emphasizes the interplay between algebraic structures and homological methods, with a focus on quasi-hereditary algebras, tilting theory, and Ringel duality. Key contributions include foundational work on characteristic tilting modules and higher-dimensional algebraic correspondences.