Research
Research
I am broadly interested in the interplay of geometry and physics, particularly as it relates to the moduli space of Higgs bundles in all of its incarnations. For this, I employ methods of Algebraic and Differential Geometry as well as Representation Theory.
1) Triality for homogeneous polynomials (joint with Laura Schaposnik) in SIGMA Symmetry Integrability Geom. Methods Appl. 17 (2021), Paper No. 079. arXiv.
2) Nilpotent Higgs bundles and families of flat connections in Comm. Math. Phys. 403 (2023), no. 2, 877--915. arXiv.
1) On a conjuecture of Simpson (joint with Panagiotis Dimakis). arXiv:2410.12945