**Dissertation**

In my dissertation

**, I trace various philosophical puzzles of quantum mechanics back to their source---**

*Essays on the Metaphysics of Quantum Mechanics**the wave function*. I first clarify how its mathematical representation relates to the physical world. In Chapter 1, "An Intrinsic Account of Quantum Mechanics: Progress in Field's Nominalistic Program," I show that the wave function represents four intrinsic relations on physical space-time, uniquely up to certain symmetries. Since my intrinsic account dispenses with any reference to mathematical objects, it extends Field's nominalistic program to the quantum realm. In Chapter 2, "Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function," I argue against

*configuration space realism*, the view that physical space-time is "emergent" from the high-dimensional configuration space that the wave function lives on. Emphasizing the roles of dynamics and symmetries, I show that physical space-time is more fundamental than the configuration space. In Chapter 3, "The Best Summary of the Quantum World: The Universal Wave Function as a Humean Law," I defend a Humean proposal: the wave function is part of the Humean best system that supervenes on a separable mosaic. This defense provides a new geometric argument for the uniqueness of the wave function given the actual particle trajectories.

My dissertation brings together various themes in metaphysics and philosophy of science, including structuralism, fundamentality, explanation, objective probability, and laws of nature.

**Other Current Research**

I've recently started working on a new project:

*Time's Arrow in a Quantum Universe*. I show that the time-asymmetry in our universe is crucial for understanding the ontological structure of quantum mechanics. In particular, we can use the data in the "Past Hypothesis" to pin down a simple and unique initial quantum state of the universe. This proposal eliminates statistical-mechanical probabilities in the fundamental postulates of physics, unifies statistical and quantum mechanics, and reconciles Humean supervenience with quantum entanglement. The new project is a bridge between two of my other research projects: time's arrow and quantum ontology. The first part of the project is posted to the physics pre-print repository arXiv.

**Articles**

(Some papers are in multiple categories; most are available upon request.)

**Philosophy of Physics, Philosophy of Science, Metaphysics:**

- Our Fundamental Physical Space: An Essay on the Metaphysics of the Wave Function,
*Journal of Philosophy,*2017 [Penultimate] [Journal] - An Intrinsic Theory of Quantum Mechanics: Progress in Field's Nominalistic Program, Part I [PhilSci-Archive]

- The Best Summary of the Quantum World: The Universal Wave Function as a Humean Law [draft]
- Time's Arrow in a Quantum Universe I: On the Simplicity and Uniqueness of the Initial Quantum State [arXiv]
- Quantum Ontology I & II (commissioned by
*Philosophy Compass,*in preparation) - Our Knowledge of the Past: Some Puzzles about Time's Arrow and Self-Locating Probabilities [draft]

**Decision Theory, Probability, Formal Epistemology:**

- Surreal Decisions (with Daniel Rubio),
*Philosophy and Phenomenological Research,*forthcoming [Penultimate] - Great Expectations: Introducing Surreal Decision Theory (with Daniel Rubio),
*Proceedings of the 5th International Workshop on Logic, Rationality, and Interaction (LORI-V),*Springer-Verlag, 2015. [Proceedings] - Surreal Decisions II: Infinite State Space (with Daniel Rubio) [draft]
- Our Knowledge of the Past: Some Puzzles about Time's Arrow and Self-Locating Probabilities [draft]

**Chinese Philosophy:**

- A Hybrid Voluntarist Interpretation of Xunzi [draft]

**Philosophy of Mind:**

- Comparativism about the Mind: From Metaphysics of Quantities to the Nature of Mentality [draft]