About
I am a mathematician working in mathematical physics with a focus on quantum lattice systems and topological phases of matter. My research centres on the mathematical structure of anyons, fractional quantum Hall systems, and the formulation of superselection sectors in two-dimensional quantum spin systems.
I received my PhD in Mathematics from the University of California, Davis in 2025. I am currently seeking postdoctoral and industry research positions in quantum computing, topological quantum systems, and quantum algorithms.
Curriculum Vitae
Download CV (PDF)Last updated April 2025
Publications
Published Bachmann, S., Corbelli, M., Fraas, M., & Ogata, Y. “Tensor Category Describing Anyons in the Quantum Hall Effect and Quantization of Conductance.”
Reviews in Mathematical Physics (2025)
doi: 10.1142/S0129055X24610075 ↗Preprint Corbelli, M. “On Symmetry-Compatible Superselection Structures for Product States in 2D Quantum Spin Systems.”
arXiv preprint (2025)
arXiv:2510.23790 ↗Projects
Lean Mathlib Contribution — Star-Algebraic DirectLimit Instances
Contributed to Lean's official mathlib library: wrote DirectLimit instances
for star-algebraic structures with supporting lemmas. PR #38308 was reviewed,
approved, and merged into the main branch (2026), advancing infrastructure for
C*-algebra applications.