Rune Haugseng

Rune Haugseng is a Professor in the Department of Mathematical Sciences at NTNU in Trondheim, Norway, and a member of the Geometry and Topology research group. His work focuses on higher category theory, homotopy theory, and their applications to derived algebraic geometry and topological quantum field theories. He teaches courses such as a 2025 PhD course on higher categories and has supervised multiple PhD and Master’s students, including Louis Martini, Fredrik Bakke, and Tallak Manum.

His research explores foundational aspects of ∞-categories and ∞-operads, with contributions to topics like symmetric monoidal structures, Segal spaces, and bispans. His articles often bridge abstract categorical frameworks with concrete applications in algebraic topology and mathematical physics.

Haugseng has authored over 20 academic articles in journals such as Advances in Mathematics, Journal of Topology, and Publicacions Matemàtiques. He has also developed lecture notes on ∞-categories and operads, emphasizing pedagogical approaches to advanced topics.

He is actively involved in academic collaborations, including with David Gepner, Joachim Kock, and Claudia Scheimbauer. His current teaching and supervision reflect a commitment to advancing research in higher categorical structures and their interdisciplinary applications.