David Wraith

David Wraith is a Professor in the Department of Mathematics and Statistics at Maynooth University, Faculty of Science & Engineering. His research focuses on differential geometry and topology, particularly in Ricci curvature, moduli spaces, and geometric analysis of manifolds.

• University: Maynooth University
• Department: Mathematics and Statistics
• Email: david.wraith@mu.ie

Wraith’s work explores the interplay between curvature constraints and manifold topology, with significant contributions to Ricci-positive metrics, geometric group actions, and moduli space classifications. His recent publications examine intermediate Ricci curvatures, homotopy groups of moduli spaces, and Ptolemaic metric structures.

Key trends in his articles include:

• Geometric analysis of Ricci curvature and scalar curvature bounds
• Topological stability of manifolds under curvature conditions
• Applications of group actions to cohomogeneity and singular orbits
• Studies on Ptolemaic metrics and their relation to CAT(0) spaces
• Classifications of exotic spheres and moduli spaces
• Homotopy-theoretic approaches to geometric deformations