Research

I am broadly interested in complex and diffeerential geometry and its interactions with mathematical physics, moduli questions, ...

Projects

Some of my current research projects are:

  1. Non-existence theorems for harmonic maps.
  2. Understanding the structure of the moduli space of the extended Bogomolny equation.
  3. Universal Higgs bundles and properties of canonical sections.
  4. Deformations of the character variety of the once punctured torus.

Publications

Preprints
  1. Perturbed cone theorems for proper harmonic maps, Arxiv
  2. Remarks on the generalised Calabi-Yau problem in higher codimension , Arxiv
Published