Research

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My primary research interest is quantum gravity. More broadly, I work around theoretical and mathematical physics, things like general relativity, noncommutative geometry, quantum field theory and cosmology.

Effective Field Theory

I study quantum gravity motivated constraints on low energy physics, especially scalar fields, modified gravity, and cosmology. This includes the use of effective field theory, swampland criteria, gravitational tests, atomic clock constraints, and bounds on variations of fundamental constants.

My current focus is the tension between cosmologically active scalar fields and local experimental invisibility. Such fields are natural in dark energy, string compactifications, scalar-tensor gravity, but they are severely constrained by Solar System and laboratory measurements.

Mathematical Physics

I work on many questions in general relativity and black-hole physics. Black holes can be nicely treated as probes of quantum gravity. My broader mathematical interests include differential geometry, Lorentzian geometry, spectral geometry, operator algebras, functional analysis, spin geometry, stochastic methods, and the mathematical foundations of quantum theory.

Noncommutative and Spectral Geometry

A major mathematical direction of my work is Lorentzian noncommutative geometry. I am interested in Lorentzian spectral triples, temporal structures, reflection structures, causal data, regularity conditions, reconstruction problems, and spectral action principles.

The aim is to understand whether spectral and operator-algebraic data can encode physically Lorentzian geometry without relying on a purely Euclidean formulation. This connects noncommutative geometry with quantum spacetime, causal structure, and black-hole physics.

String Theory and Nongeometric Backgrounds

I am interested in string theory as a source of structural constraints on quantum gravity, including dualities, nongeometric backgrounds, effective field theory limits, moduli spaces, and swampland conjectures.

I have also worked on spectral and geometric approaches to closed-string nongeometric backgrounds, as well as possible extensions of Seiberg–Witten-type maps and their relation to noncommutative structures.