William Elbæk Mistegård

William Elbæk Mistegård is an Assistant Professor in the Department of Mathematics and Computer Science at the University of Southern Denmark (SDU), where he conducts research in Quantum Mathematics. His work bridges pure mathematics and mathematical physics, with a focus on quantum invariants and topological structures.

Research Interests: His primary research areas include resurgence analysis, asymptotic expansions of quantum invariants, low-dimensional topology, and the mathematical foundations of quantum field theory. He investigates invariants of 3-manifolds such as Seifert fibered spaces and mapping tori, leveraging tools from representation theory and complex analysis.

The analysis of his publications reveals a consistent focus on the resurgence properties of Witten-Reshetikhin-Turaev invariants, particularly in topological contexts involving mapping class groups, fixed point sets, and integral structures. His work contributes to the deeper understanding of quantum invariants through asymptotic and analytic methods.

Scientific Contributions:

• Co-authored significant journal articles in top mathematical journals.
• Active contributor to the theoretical development of quantum topology.

Grants and Projects: Currently participating in the Danish Research Council-funded project Strengthening Denmark's Quantum Technology Position: SDU's Master's Degree Programme in Quantum Computing (2025–2027), which aims to advance quantum education and research in Denmark. No formal students are listed, but his role in this educational initiative suggests mentorship and curriculum development.

Laboratories and Teams: While no dedicated lab is mentioned, he is part of a research network in quantum mathematics at SDU, collaborating with prominent mathematicians such as Jørgen Ellegaard Andersen. His work is supported through institutional and national research frameworks.