Research programme

Exact mathematical structures in field theory, gravity & quantum/information geometry

My research uses rigid mathematical structures — symmetries, quantum spaces, spectral triples, matrix models, division algebras, and gauge-field ansätze — as exact inputs for controlled calculations in field theory, gravity, finite geometry, and quantum information. The aim is concrete physics that can be written and checked explicitly: fields, sources, charges, phases, distances, transport laws, particle-sector data, and information metrics.

Common mechanism

Exact input

Homogeneous spaces, conformal compactifications, quantum calculi, spectral triples, algebraic ansätze

Explicit computation

Field/source equations, Dirac operators, inner fluctuations, Hodge data, variational distances, flows

Physical output

Gauge fields, lightcone defects, black-hole phases, spectral/Helstrom distances, finite-sector constraints

The formal input should be rigid, the calculation controlled, and the physical interpretation earned.

Geometric visual motif for quantum geometry and field theory

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.