Symmetry reductions, spectral triples, quantum spaces, division algebras, gauge ansätze
Research programme
Exact mathematical structures in field theory, gravity & quantum/information geometry
My research starts from rigid mathematical structures — symmetries, quantum spaces, spectral triples, matrix models, division algebras, and gauge-field ansätze — and uses them to solve controlled equations or finite-geometric constraints. The outputs are concrete physics: exact fields, source and defect laws, geometric phases, spectral distances, transport laws, particle-sector data, and information metrics.
Common mechanism
Field equations, Dirac operators, connections, phases, charges, distances, transport
Exact fields, defects, black-hole phases, particle data, information metrics
The formal input should be rigid, the calculation controlled, and the physical interpretation earned.
Research map
Directions and entry points
Compact summaries of the public-facing routes through the programme.
Publications
Publications and public preprints
For citation counts and full indexing, see InspireHEP or arXiv.
Academic activity
Talks, conferences, and schools
Selected talks
Earlier and local seminars
Conferences
Schools
Research trajectory
Where the programme developed
Earlier to current research homes.