My research interests are in the unification of the fundamental matter and interactions. I have pursued this interest in two directions.

The first is the construction of quasi-realistic string models that reproduce the gross structure of the Standard Model, as well as finer details in specific models and scenarios. The relevant class of string compactifications correspond to $Z_2\times Z_2$ orbifolds of six dimensional toroidal lattices. In addition to producing a large space of phenomenological string models, they exhibit a rich mathematical structure, which is of interest in its own right. This mathematical structure relates to the properties of $K3$ surfaces and their symmetries, including the emerging interest in Moonshine symmetries and modular forms. Ultimately, the aim is to explore how this mathematical structures play a role in the phenomenological properties of the quasi-realistic string vacua.

The second direction entails the study of duality symmetries in quantum mechanics, quantum field theories and string theory. This interest led to the formulation of quantum mechanics from an equivalence postulate. The aim is to extend this formalism of quantum mechanics to a formalulation of quantum gravity.

Research Interests

• Theoretical particle physics
• Unification of fundamental matter and interactions
• String theory
• Phenomenological and cosmological implications of string theory
• Physics beyond the standard model and collider phenomenology
• Foundations of quantum mechanics and quantum gravity

Publications