Dr. Baron's present research focuses on the connection between key topics in the philosophy of mathematics concerning mathematical ontology and topics in the philosophy of time concerning temporal ontology.
A central focus of this research is the role of truth-making and non-causal explanation in arguments both for and against particular ontological views.
Dr. Baron is currently investigating the role of non-causal explanation in the indispensability argument for the existence of mathematical objects, as well as timelessness in theories of quantum gravity and timelessness in metaphysics more generally.