Before coming to Oxford, Doctor Upmeier held academic posts at the ULB Brussels and the University of Augsburg. He completed his PhD in pure mathematics in 2013 at the University of Göttingen.
His research on pure mathematics is strongly influenced by theoretical physics. Being trained originally as a topologist, his research interests have expanded into geometry and the field of enumerative invariants.
Between 2017-2020 he was project leader of Gerbes in Renormalization and Quantization in the priority programme Geometry at Infinity of the German Research Foundation. Recently he was awarded a prestigious Heisenberg Fellowship.
- Algebraic structure and integration maps in cocycle models for differential cohomology, Algebraic & Geometric Topology 15 (2015).
- Extremal K-contact metrics (with M. Lejmi), Mathematische Zeitschrift 281 (2015).
- Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry (with M. Lejmi), Communications in Analysis and Geometry (2017).
- Closed almost-Kähler 4-manifolds of constant non-negative Hermitian holomorphic sectional curvature are Kähler (with M. Lejmi), Tohoku Math. Journal 72 (2020).
- On orientations for gauge-theoretic moduli spaces (with D. Joyce and Y. Tanaka), Advances in Mathematics Vol. 362 (2020).