Alexei Kovalev

Alexei Kovalev is an Associate Professor in the Department of Pure Mathematics and Mathematical Statistics (DPMMS) at the University of Cambridge. His research focuses on differential geometry and global analysis, with a particular emphasis on special holonomy manifolds, geometric analysis, and connections to mathematical physics.

• Publications Highlights: Major contributions to G2-holonomy manifolds, coassociative submanifolds, and Yang-Mills instanton reductions to Nahm’s equations.
• Research Group: Differential Geometry & Topology, University of Cambridge.

Kovalev's work explores the intersection of differential geometry and topology, including asymptotically cylindrical manifolds, Calabi-Yau deformations, and K3 surface involutions. His publications demonstrate deep connections between geometric structures and physical theories like Yang-Mills. Notable collaborations include JD Lotay, J Nordstrom, and M Singer.

He maintains an active research program, with recent work (2019) on calibrated submanifold deformations and compact G2-holonomy constructions. Earlier works (2000–2007) established foundational results in anti-self-dual metrics, Nahm’s equations, and twisted connected sums.