TUM – Technical University of Munich Menü

Prof. Dr. Claudia Scheimbauer

Professorship

Topology

Department

Mathematics

Academic Career and Research Areas

The research of Professor Scheimbauer (*1986) lies at the intersection of algebraic topology and mathematical physics. More precisely, her work concerns the study of algebraic structures appearing in field theories using methods from homotopy theory and the development of the required higher categorical framework. This has connections with and uses tools from derived algebraic geometry, representation theory, homological algebra, and the study of manifolds.

After graduating in Technical Mathematics at TU Wien, Professor Scheimbauer pursued a PhD at ETH Zürich on the topic “Factorization Homology as a fully extended Topological Field Theory” (2014). After spending 3 months at the IHÉS as a visitor, she was a postdoctoral fellow at the Max Planck Institute of Mathematics in Bonn (2015-2017) and at the University of Oxford (2017-2018). In August 2018 Professor Scheimbauer started a Trond Mohn Foundation tenure-track position at the Norwegian University of Science and Technology in Trondheim. Since September 2019 she is assistant professor for topology at TUM. 

    Awards

    • Grant from Trond Mohn Foundation, for research project “Higher Categories meet Quantum Field Theory” (2018) 
    • Teaching Award 2016 of the Faculty of Mathematics and Natural Sciences of the University of Bonn 
    • Advanced Postdoc.mobility fellowship from Swiss National Science Foundation (2017-2018) for research fellowship at University of Oxford
    • Early Postdoc.mobility fellowship from Swiss National Science Foundation (2015-2016) for research fellowship at Max Planck Institute of Mathematics in Bonn
       

    Key Publications

    Bergner JE, Osorno AM, Ozornova V, Rovelli M, Scheimbauer CI: “The edgewise subdivision criterion for 2-Segal objects”. Proceedings of the AMS. Accepted for publication.

    Abstract

    Calaque D, Scheimbauer CI: “A note on the (∞, n)-category of cobordisms”. Algebraic & Geometric Topology. 2018; 19 (2): 533-655.

    Abstract

    Bergner JE, Osorno AM, Ozornova V, Rovelli M, Scheimbauer CI: “2-Segal sets and the Waldhausen construction”. Topology and its Applications. 2018; 235: 445-484.

    Abstract

    Johnson-Freyd T,  Scheimbauer CI: “(Op)lax natural transformations, twisted field theories, and the ‘even higher’ Morita category of Ed-algebras”. Advances in Mathematics. 2017; 307: 147-223.

    Abstract

    Costello K, Scheimbauer CI: “Lectures on mathematical aspects of (twisted) supersymmetric gauge theories”. In: Mathematical Aspects of Quantum Field Theories. Editors: Calaque D, Strobl T. Basel: Springer International Publishing, 2015: 57-87.

    Abstract