Markus Upmeier

Markus Upmeier is a Lecturer in Mathematics at the University of Aberdeen, affiliated with the Department of Mathematics within the School of Natural and Computing Sciences. He earned his PhD from the University of Göttingen in 2013 under Thomas Schick and previously held a Simons Collaboration researcher position at the University of Oxford. He is actively involved in the academic community, organizing the Topology Seminar and leading a reading seminar on the Baez-Dolan cobordism hypothesis and ∞-categories.

• PhD, University of Göttingen, 2013
• Simons Collaboration Researcher, University of Oxford
• Lecturer, University of Aberdeen

Markus Upmeier's research lies at the intersection of algebraic topology, index theory, and higher category theory, with applications to moduli spaces in gauge theory and algebraic geometry. His work explores the topological and geometric structures—such as orientations, spin structures, and higher categorical analogues—on moduli spaces arising in theoretical physics. He investigates connections to K-theory, elliptic cohomology, and vertex algebras, particularly through the lens of quantum invariants and bordism theory. His recent publications emphasize homological algebra on moduli spaces, differential cohomology, and integrability in almost Hermitian geometry.

The 15 most recent publications highlight a consistent focus on the topology of moduli spaces, particularly concerning orientations, bordism invariance, and index theory. Key themes include twisted K-theory, vertex F-algebras, and the interplay between higher category theory and mathematical physics. His work frequently involves collaboration with leading figures such as Dominic Joyce and integrates deep results from homotopy theory, differential geometry, and algebraic structures.

No scientific awards or fellowships were mentioned in the provided text.

Markus Upmeier advises no listed students in the provided information. There is no mention of grants or funding sources. However, his role as a seminar organizer and his active publication record suggest significant academic engagement and leadership. His research program is well-defined, bridging abstract homotopy theory with concrete geometric and physical problems.

He is involved in the Topology Seminar and leads a reading seminar on ∞-categories and the cobordism hypothesis, indicating an active research group or collaborative environment around higher category theory and its applications.