My research explores the structure and intelligibility of reality through several connected questions:

Unity without Reduction
How can mathematics, physical nature, mind, and normativity belong to a single reality while preserving what is distinctive about each?

Objectivity
What does it mean to understand something objectively when the subject matter is mathematical, conscious, practical, or normative rather than merely physical?

Knowledge and Necessity
How do finite thinkers acquire knowledge of mathematical and modal truths, and what makes such knowledge answerable to its subject matter?

Mind and Nature
How can conscious experience be part of the natural world while retaining its first-personal character?

Value and Agency
How can reasons, normative truths, and genuine self-government be real in a world that is also physically ordered?

Although these questions belong to different areas of philosophy, they form parts of a single inquiry: how does reality hang together?