David Baraglia

Dr. David Baraglia is a Senior Lecturer in the School of Computer and Mathematical Sciences at the University of Adelaide, within the Faculty of Sciences, Engineering and Technology. His primary affiliation is with the Mathematical Sciences department. He is actively involved in research supervision for Masters and PhD students.

His research focuses on differential geometry, complex geometry, and gauge theory, with particular emphasis on moduli spaces of geometric structures on manifolds. Key areas include applications of gauge theory to 4-manifolds, Higgs bundles, and connections to the Geometric Langlands Program. He also explores geometric aspects of mathematical physics, such as T-duality and twisted K-theory in quantum field theory and string theory.

Recent work includes studies on exotic smooth structures, surface isotopy constraints in 4-manifolds, and equivariant Seiberg-Witten theories. His research has implications for understanding topological invariants, knot concordance, and group actions on manifolds.

Dr. Baraglia’s academic contributions span over two decades, with publications in leading journals and active engagement in the mathematical physics community. His webpage and research profile indicate ongoing work in geometric analysis and topological dualities.