In this study, we construct a 1+ 1-dimensional, relativistic, free, complex scalar quantum field
theory on the noncommutative spacetime known as lightlike κ-Minkowski. The associated κ …

Given a Hopf algebra H, we study modules and bimodules over an algebra A that carry an H-
action, as well as their morphisms and connections. Bimodules naturally arise when …

We construct a noncommutative Cartan calculus on any braided commutative algebra and
study its applications in noncommutative geometry. The braided Lie derivative, insertion and …

We consider an isotropic two-dimensional harmonic oscillator with arbitrarily time-
dependent mass M (t) and frequency Ω (t) in an arbitrarily time-dependent magnetic field B …

Bialgebroids (respectively Hopf algebroids) are bialgebras (Hopf algebras) over
noncommutative rings. Drinfeld twist techniques are particularly useful in the (deformation) …

We propose a general procedure to construct noncommutative deformations of an
embedded submanifold M of R n determined by a set of smooth equations fa (x)= 0. We use …

We propose a new generalisation of the Jordanian twist (building on the previous idea from
[Meljanac S., Meljanac D., Pachoł A., Pikutić D., J. Phys. A: Math. Theor. 50 (2017), 265201 …

We study classical scalar field theories on noncommutative curved spacetimes. Following
the approach of Wess et al.[Classical Quantum Gravity 22 (2005), 3511 and Classical …

We propose a general procedure to construct noncommutative deformations of an algebraic
submanifold M of ℝ n R^n, specializing the procedure G. Fiore, T. Weber, Twisted …

After an introduction to some basic issues in non-commutative geometry (Gel'fand duality,
spectral triples), we present a" panoramic view" of the status of our current research program …